0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.175 * * * [progress]: [2/2] Setting up program. 0.179 * [progress]: [Phase 2 of 3] Improving. 0.179 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.179 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.179 * * [simplify]: iters left: 6 (13 enodes) 0.183 * * [simplify]: iters left: 5 (57 enodes) 0.220 * * [simplify]: iters left: 4 (96 enodes) 0.255 * * [simplify]: iters left: 3 (174 enodes) 0.295 * * [simplify]: iters left: 2 (354 enodes) 0.794 * * [simplify]: Extracting #0: cost 1 inf + 0 0.794 * * [simplify]: Extracting #1: cost 44 inf + 0 0.795 * * [simplify]: Extracting #2: cost 135 inf + 1 0.796 * * [simplify]: Extracting #3: cost 177 inf + 127 0.798 * * [simplify]: Extracting #4: cost 178 inf + 510 0.802 * * [simplify]: Extracting #5: cost 126 inf + 15028 0.814 * * [simplify]: Extracting #6: cost 23 inf + 73197 0.829 * * [simplify]: Extracting #7: cost 0 inf + 85838 0.858 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.858 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.871 * * [progress]: iteration 1 / 4 0.871 * * * [progress]: picking best candidate 0.881 * * * * [pick]: Picked # 0.881 * * * [progress]: localizing error 0.925 * * * [progress]: generating rewritten candidates 0.925 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.953 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.978 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.003 * * * [progress]: generating series expansions 1.003 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.004 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 1.004 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 1.004 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1.004 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1.004 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1.004 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1.004 * [taylor]: Taking taylor expansion of 1/2 in k 1.004 * [backup-simplify]: Simplify 1/2 into 1/2 1.004 * [taylor]: Taking taylor expansion of (- 1 k) in k 1.004 * [taylor]: Taking taylor expansion of 1 in k 1.004 * [backup-simplify]: Simplify 1 into 1 1.004 * [taylor]: Taking taylor expansion of k in k 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.004 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 1.004 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 1.004 * [taylor]: Taking taylor expansion of 2 in k 1.004 * [backup-simplify]: Simplify 2 into 2 1.004 * [taylor]: Taking taylor expansion of (* n PI) in k 1.004 * [taylor]: Taking taylor expansion of n in k 1.004 * [backup-simplify]: Simplify n into n 1.004 * [taylor]: Taking taylor expansion of PI in k 1.004 * [backup-simplify]: Simplify PI into PI 1.004 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.004 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1.004 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1.004 * [backup-simplify]: Simplify (- 0) into 0 1.005 * [backup-simplify]: Simplify (+ 1 0) into 1 1.005 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.005 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1.005 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1.005 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1.005 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1.005 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1.005 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1.005 * [taylor]: Taking taylor expansion of 1/2 in n 1.005 * [backup-simplify]: Simplify 1/2 into 1/2 1.005 * [taylor]: Taking taylor expansion of (- 1 k) in n 1.005 * [taylor]: Taking taylor expansion of 1 in n 1.005 * [backup-simplify]: Simplify 1 into 1 1.005 * [taylor]: Taking taylor expansion of k in n 1.005 * [backup-simplify]: Simplify k into k 1.005 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.005 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.005 * [taylor]: Taking taylor expansion of 2 in n 1.005 * [backup-simplify]: Simplify 2 into 2 1.005 * [taylor]: Taking taylor expansion of (* n PI) in n 1.005 * [taylor]: Taking taylor expansion of n in n 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 1 into 1 1.006 * [taylor]: Taking taylor expansion of PI in n 1.006 * [backup-simplify]: Simplify PI into PI 1.006 * [backup-simplify]: Simplify (* 0 PI) into 0 1.006 * [backup-simplify]: Simplify (* 2 0) into 0 1.007 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.008 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.009 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.009 * [backup-simplify]: Simplify (- k) into (- k) 1.009 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 1.009 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1.010 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.010 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1.011 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1.011 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1.011 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1.011 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1.011 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1.011 * [taylor]: Taking taylor expansion of 1/2 in n 1.011 * [backup-simplify]: Simplify 1/2 into 1/2 1.011 * [taylor]: Taking taylor expansion of (- 1 k) in n 1.011 * [taylor]: Taking taylor expansion of 1 in n 1.011 * [backup-simplify]: Simplify 1 into 1 1.011 * [taylor]: Taking taylor expansion of k in n 1.011 * [backup-simplify]: Simplify k into k 1.011 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.011 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.011 * [taylor]: Taking taylor expansion of 2 in n 1.011 * [backup-simplify]: Simplify 2 into 2 1.011 * [taylor]: Taking taylor expansion of (* n PI) in n 1.011 * [taylor]: Taking taylor expansion of n in n 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 1 into 1 1.011 * [taylor]: Taking taylor expansion of PI in n 1.011 * [backup-simplify]: Simplify PI into PI 1.012 * [backup-simplify]: Simplify (* 0 PI) into 0 1.012 * [backup-simplify]: Simplify (* 2 0) into 0 1.013 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.014 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.014 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.014 * [backup-simplify]: Simplify (- k) into (- k) 1.014 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 1.014 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1.015 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.016 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1.017 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1.017 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 1.017 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 1.017 * [taylor]: Taking taylor expansion of 1/2 in k 1.017 * [backup-simplify]: Simplify 1/2 into 1/2 1.017 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 1.017 * [taylor]: Taking taylor expansion of (- 1 k) in k 1.017 * [taylor]: Taking taylor expansion of 1 in k 1.017 * [backup-simplify]: Simplify 1 into 1 1.017 * [taylor]: Taking taylor expansion of k in k 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 1 into 1 1.017 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1.017 * [taylor]: Taking taylor expansion of (log n) in k 1.017 * [taylor]: Taking taylor expansion of n in k 1.017 * [backup-simplify]: Simplify n into n 1.017 * [backup-simplify]: Simplify (log n) into (log n) 1.017 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.017 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.017 * [taylor]: Taking taylor expansion of 2 in k 1.017 * [backup-simplify]: Simplify 2 into 2 1.017 * [taylor]: Taking taylor expansion of PI in k 1.017 * [backup-simplify]: Simplify PI into PI 1.017 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.018 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.018 * [backup-simplify]: Simplify (- 0) into 0 1.018 * [backup-simplify]: Simplify (+ 1 0) into 1 1.019 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.020 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 1.020 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1.021 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1.021 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.023 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.024 * [backup-simplify]: Simplify (- 0) into 0 1.024 * [backup-simplify]: Simplify (+ 0 0) into 0 1.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 1.025 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.026 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1.027 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.027 * [taylor]: Taking taylor expansion of 0 in k 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.029 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.030 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.031 * [backup-simplify]: Simplify (+ 0 0) into 0 1.031 * [backup-simplify]: Simplify (- 1) into -1 1.032 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.033 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 1.036 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1.039 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.041 * [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))))))) 1.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.044 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.047 * [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 1.047 * [backup-simplify]: Simplify (- 0) into 0 1.048 * [backup-simplify]: Simplify (+ 0 0) into 0 1.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 1.050 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.052 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.054 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.054 * [taylor]: Taking taylor expansion of 0 in k 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.057 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.060 * [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 1.061 * [backup-simplify]: Simplify (+ 0 0) into 0 1.061 * [backup-simplify]: Simplify (- 0) into 0 1.061 * [backup-simplify]: Simplify (+ 0 0) into 0 1.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.070 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 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))))) 1.074 * [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))))) 1.084 * [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))))) 1.084 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 1.085 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 1.085 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.085 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.085 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.085 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.085 * [taylor]: Taking taylor expansion of 1/2 in k 1.085 * [backup-simplify]: Simplify 1/2 into 1/2 1.085 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.085 * [taylor]: Taking taylor expansion of 1 in k 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.085 * [taylor]: Taking taylor expansion of k in k 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [backup-simplify]: Simplify (/ 1 1) into 1 1.085 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.085 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.085 * [taylor]: Taking taylor expansion of 2 in k 1.085 * [backup-simplify]: Simplify 2 into 2 1.085 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.085 * [taylor]: Taking taylor expansion of PI in k 1.085 * [backup-simplify]: Simplify PI into PI 1.085 * [taylor]: Taking taylor expansion of n in k 1.086 * [backup-simplify]: Simplify n into n 1.086 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.086 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.086 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.086 * [backup-simplify]: Simplify (- 1) into -1 1.087 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.087 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.087 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.087 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.087 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.087 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.087 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.087 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.087 * [taylor]: Taking taylor expansion of 1/2 in n 1.088 * [backup-simplify]: Simplify 1/2 into 1/2 1.088 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.088 * [taylor]: Taking taylor expansion of 1 in n 1.088 * [backup-simplify]: Simplify 1 into 1 1.088 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.088 * [taylor]: Taking taylor expansion of k in n 1.088 * [backup-simplify]: Simplify k into k 1.088 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.088 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.088 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.088 * [taylor]: Taking taylor expansion of 2 in n 1.088 * [backup-simplify]: Simplify 2 into 2 1.088 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.088 * [taylor]: Taking taylor expansion of PI in n 1.088 * [backup-simplify]: Simplify PI into PI 1.088 * [taylor]: Taking taylor expansion of n in n 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify 1 into 1 1.088 * [backup-simplify]: Simplify (/ PI 1) into PI 1.089 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.090 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.090 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.090 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.090 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.091 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.092 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.094 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1.094 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.094 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.094 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.094 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.094 * [taylor]: Taking taylor expansion of 1/2 in n 1.094 * [backup-simplify]: Simplify 1/2 into 1/2 1.094 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.094 * [taylor]: Taking taylor expansion of 1 in n 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.094 * [taylor]: Taking taylor expansion of k in n 1.094 * [backup-simplify]: Simplify k into k 1.094 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.094 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.094 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.094 * [taylor]: Taking taylor expansion of 2 in n 1.094 * [backup-simplify]: Simplify 2 into 2 1.094 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.094 * [taylor]: Taking taylor expansion of PI in n 1.094 * [backup-simplify]: Simplify PI into PI 1.094 * [taylor]: Taking taylor expansion of n in n 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.095 * [backup-simplify]: Simplify (/ PI 1) into PI 1.095 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.096 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.096 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.096 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.096 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.098 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.099 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.100 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1.100 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.100 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.100 * [taylor]: Taking taylor expansion of 1/2 in k 1.100 * [backup-simplify]: Simplify 1/2 into 1/2 1.100 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.100 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.100 * [taylor]: Taking taylor expansion of 1 in k 1.100 * [backup-simplify]: Simplify 1 into 1 1.100 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.100 * [taylor]: Taking taylor expansion of k in k 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (/ 1 1) into 1 1.105 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.105 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.105 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.105 * [taylor]: Taking taylor expansion of 2 in k 1.105 * [backup-simplify]: Simplify 2 into 2 1.105 * [taylor]: Taking taylor expansion of PI in k 1.105 * [backup-simplify]: Simplify PI into PI 1.106 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.107 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.107 * [taylor]: Taking taylor expansion of (log n) in k 1.107 * [taylor]: Taking taylor expansion of n in k 1.107 * [backup-simplify]: Simplify n into n 1.107 * [backup-simplify]: Simplify (log n) into (log n) 1.107 * [backup-simplify]: Simplify (- 1) into -1 1.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.108 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.109 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.110 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.111 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.111 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1.112 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.113 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.114 * [backup-simplify]: Simplify (- 0) into 0 1.114 * [backup-simplify]: Simplify (+ 0 0) into 0 1.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.115 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.116 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.117 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.117 * [taylor]: Taking taylor expansion of 0 in k 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.118 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.120 * [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 1.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.121 * [backup-simplify]: Simplify (- 0) into 0 1.121 * [backup-simplify]: Simplify (+ 0 0) into 0 1.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.122 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.123 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.125 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.125 * [taylor]: Taking taylor expansion of 0 in k 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.126 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.129 * [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 1.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.130 * [backup-simplify]: Simplify (- 0) into 0 1.130 * [backup-simplify]: Simplify (+ 0 0) into 0 1.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.131 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.132 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.134 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 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 1.134 * [taylor]: Taking taylor expansion of 0 in k 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 1.135 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 1.135 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 1.135 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.135 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.135 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.135 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.135 * [taylor]: Taking taylor expansion of 1/2 in k 1.135 * [backup-simplify]: Simplify 1/2 into 1/2 1.135 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.135 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.135 * [taylor]: Taking taylor expansion of k in k 1.135 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify 1 into 1 1.136 * [backup-simplify]: Simplify (/ 1 1) into 1 1.136 * [taylor]: Taking taylor expansion of 1 in k 1.136 * [backup-simplify]: Simplify 1 into 1 1.136 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.136 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.136 * [taylor]: Taking taylor expansion of -2 in k 1.136 * [backup-simplify]: Simplify -2 into -2 1.136 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.136 * [taylor]: Taking taylor expansion of PI in k 1.136 * [backup-simplify]: Simplify PI into PI 1.136 * [taylor]: Taking taylor expansion of n in k 1.136 * [backup-simplify]: Simplify n into n 1.136 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.136 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.136 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.136 * [backup-simplify]: Simplify (+ 1 0) into 1 1.136 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.137 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.137 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.137 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.137 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.137 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.137 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.137 * [taylor]: Taking taylor expansion of 1/2 in n 1.137 * [backup-simplify]: Simplify 1/2 into 1/2 1.137 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.137 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.137 * [taylor]: Taking taylor expansion of k in n 1.137 * [backup-simplify]: Simplify k into k 1.137 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.137 * [taylor]: Taking taylor expansion of 1 in n 1.137 * [backup-simplify]: Simplify 1 into 1 1.137 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.137 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.137 * [taylor]: Taking taylor expansion of -2 in n 1.137 * [backup-simplify]: Simplify -2 into -2 1.137 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.137 * [taylor]: Taking taylor expansion of PI in n 1.137 * [backup-simplify]: Simplify PI into PI 1.137 * [taylor]: Taking taylor expansion of n in n 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 1 into 1 1.137 * [backup-simplify]: Simplify (/ PI 1) into PI 1.138 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.138 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.138 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.138 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.140 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.141 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.142 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1.142 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.142 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.142 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.142 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.142 * [taylor]: Taking taylor expansion of 1/2 in n 1.142 * [backup-simplify]: Simplify 1/2 into 1/2 1.142 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.142 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.142 * [taylor]: Taking taylor expansion of k in n 1.142 * [backup-simplify]: Simplify k into k 1.142 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.142 * [taylor]: Taking taylor expansion of 1 in n 1.142 * [backup-simplify]: Simplify 1 into 1 1.142 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.142 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.142 * [taylor]: Taking taylor expansion of -2 in n 1.142 * [backup-simplify]: Simplify -2 into -2 1.142 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.143 * [taylor]: Taking taylor expansion of PI in n 1.143 * [backup-simplify]: Simplify PI into PI 1.143 * [taylor]: Taking taylor expansion of n in n 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 1 into 1 1.143 * [backup-simplify]: Simplify (/ PI 1) into PI 1.144 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.144 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.145 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.145 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.146 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.147 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.148 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1.148 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.148 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.148 * [taylor]: Taking taylor expansion of 1/2 in k 1.148 * [backup-simplify]: Simplify 1/2 into 1/2 1.148 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.149 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.149 * [taylor]: Taking taylor expansion of k in k 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 1 into 1 1.149 * [backup-simplify]: Simplify (/ 1 1) into 1 1.149 * [taylor]: Taking taylor expansion of 1 in k 1.149 * [backup-simplify]: Simplify 1 into 1 1.149 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.149 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.149 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.149 * [taylor]: Taking taylor expansion of -2 in k 1.149 * [backup-simplify]: Simplify -2 into -2 1.149 * [taylor]: Taking taylor expansion of PI in k 1.149 * [backup-simplify]: Simplify PI into PI 1.150 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.151 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.151 * [taylor]: Taking taylor expansion of (log n) in k 1.151 * [taylor]: Taking taylor expansion of n in k 1.151 * [backup-simplify]: Simplify n into n 1.151 * [backup-simplify]: Simplify (log n) into (log n) 1.151 * [backup-simplify]: Simplify (+ 1 0) into 1 1.151 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.152 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.153 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.154 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.155 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1.157 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.158 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.161 * [backup-simplify]: Simplify (+ 0 0) into 0 1.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.163 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.164 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.166 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.166 * [taylor]: Taking taylor expansion of 0 in k 1.166 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify 0 into 0 1.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.168 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.171 * [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 1.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.172 * [backup-simplify]: Simplify (+ 0 0) into 0 1.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.175 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.176 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.178 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.179 * [taylor]: Taking taylor expansion of 0 in k 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 0 into 0 1.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.181 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.187 * [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 1.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.188 * [backup-simplify]: Simplify (+ 0 0) into 0 1.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 1.190 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.192 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1.195 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.195 * [taylor]: Taking taylor expansion of 0 in k 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 1.196 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 1.197 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 1.197 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1.197 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.197 * [taylor]: Taking taylor expansion of 2 in n 1.197 * [backup-simplify]: Simplify 2 into 2 1.197 * [taylor]: Taking taylor expansion of (* n PI) in n 1.197 * [taylor]: Taking taylor expansion of n in n 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 1 into 1 1.197 * [taylor]: Taking taylor expansion of PI in n 1.197 * [backup-simplify]: Simplify PI into PI 1.197 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.197 * [taylor]: Taking taylor expansion of 2 in n 1.197 * [backup-simplify]: Simplify 2 into 2 1.197 * [taylor]: Taking taylor expansion of (* n PI) in n 1.197 * [taylor]: Taking taylor expansion of n in n 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 1 into 1 1.197 * [taylor]: Taking taylor expansion of PI in n 1.197 * [backup-simplify]: Simplify PI into PI 1.198 * [backup-simplify]: Simplify (* 0 PI) into 0 1.198 * [backup-simplify]: Simplify (* 2 0) into 0 1.198 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.201 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.201 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.202 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.203 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1.203 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.206 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.206 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.209 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.209 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1.212 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.215 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1.215 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1.220 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 1.220 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1.220 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.220 * [taylor]: Taking taylor expansion of 2 in n 1.220 * [backup-simplify]: Simplify 2 into 2 1.220 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.220 * [taylor]: Taking taylor expansion of PI in n 1.220 * [backup-simplify]: Simplify PI into PI 1.220 * [taylor]: Taking taylor expansion of n in n 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (/ PI 1) into PI 1.220 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.220 * [taylor]: Taking taylor expansion of 2 in n 1.220 * [backup-simplify]: Simplify 2 into 2 1.220 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.221 * [taylor]: Taking taylor expansion of PI in n 1.221 * [backup-simplify]: Simplify PI into PI 1.221 * [taylor]: Taking taylor expansion of n in n 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [backup-simplify]: Simplify (/ PI 1) into PI 1.222 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.222 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.224 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.224 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.227 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.227 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.231 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.231 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.234 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.237 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.238 * [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 1.239 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1.240 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 1.240 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1.240 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.240 * [taylor]: Taking taylor expansion of -2 in n 1.240 * [backup-simplify]: Simplify -2 into -2 1.240 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.240 * [taylor]: Taking taylor expansion of PI in n 1.240 * [backup-simplify]: Simplify PI into PI 1.240 * [taylor]: Taking taylor expansion of n in n 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (/ PI 1) into PI 1.240 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.240 * [taylor]: Taking taylor expansion of -2 in n 1.240 * [backup-simplify]: Simplify -2 into -2 1.240 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.240 * [taylor]: Taking taylor expansion of PI in n 1.240 * [backup-simplify]: Simplify PI into PI 1.240 * [taylor]: Taking taylor expansion of n in n 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.241 * [backup-simplify]: Simplify (/ PI 1) into PI 1.241 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.241 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.242 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.242 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.243 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.243 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.245 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.246 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.246 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.247 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.247 * [backup-simplify]: Simplify 0 into 0 1.248 * [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 1.249 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1.249 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.250 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 1.250 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 1.250 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 1.250 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1.250 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1.250 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1.250 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1.250 * [taylor]: Taking taylor expansion of 1/2 in k 1.250 * [backup-simplify]: Simplify 1/2 into 1/2 1.250 * [taylor]: Taking taylor expansion of (- 1 k) in k 1.250 * [taylor]: Taking taylor expansion of 1 in k 1.250 * [backup-simplify]: Simplify 1 into 1 1.250 * [taylor]: Taking taylor expansion of k in k 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 1 into 1 1.250 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 1.250 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 1.250 * [taylor]: Taking taylor expansion of 2 in k 1.250 * [backup-simplify]: Simplify 2 into 2 1.250 * [taylor]: Taking taylor expansion of (* n PI) in k 1.250 * [taylor]: Taking taylor expansion of n in k 1.250 * [backup-simplify]: Simplify n into n 1.250 * [taylor]: Taking taylor expansion of PI in k 1.250 * [backup-simplify]: Simplify PI into PI 1.250 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.250 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1.250 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1.251 * [backup-simplify]: Simplify (- 0) into 0 1.251 * [backup-simplify]: Simplify (+ 1 0) into 1 1.251 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.251 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1.251 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1.251 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.251 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.251 * [taylor]: Taking taylor expansion of k in k 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify 1 into 1 1.252 * [backup-simplify]: Simplify (/ 1 1) into 1 1.252 * [backup-simplify]: Simplify (sqrt 0) into 0 1.253 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.253 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 1.253 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1.253 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1.253 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1.253 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1.253 * [taylor]: Taking taylor expansion of 1/2 in n 1.253 * [backup-simplify]: Simplify 1/2 into 1/2 1.253 * [taylor]: Taking taylor expansion of (- 1 k) in n 1.253 * [taylor]: Taking taylor expansion of 1 in n 1.253 * [backup-simplify]: Simplify 1 into 1 1.253 * [taylor]: Taking taylor expansion of k in n 1.253 * [backup-simplify]: Simplify k into k 1.253 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.253 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.253 * [taylor]: Taking taylor expansion of 2 in n 1.253 * [backup-simplify]: Simplify 2 into 2 1.253 * [taylor]: Taking taylor expansion of (* n PI) in n 1.253 * [taylor]: Taking taylor expansion of n in n 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify 1 into 1 1.253 * [taylor]: Taking taylor expansion of PI in n 1.253 * [backup-simplify]: Simplify PI into PI 1.254 * [backup-simplify]: Simplify (* 0 PI) into 0 1.254 * [backup-simplify]: Simplify (* 2 0) into 0 1.255 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.256 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.256 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.256 * [backup-simplify]: Simplify (- k) into (- k) 1.256 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 1.256 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1.257 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.258 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1.258 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1.259 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.259 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.259 * [taylor]: Taking taylor expansion of k in n 1.259 * [backup-simplify]: Simplify k into k 1.259 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.259 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1.259 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 1.259 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1.259 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1.259 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1.259 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1.259 * [taylor]: Taking taylor expansion of 1/2 in n 1.259 * [backup-simplify]: Simplify 1/2 into 1/2 1.259 * [taylor]: Taking taylor expansion of (- 1 k) in n 1.259 * [taylor]: Taking taylor expansion of 1 in n 1.259 * [backup-simplify]: Simplify 1 into 1 1.259 * [taylor]: Taking taylor expansion of k in n 1.259 * [backup-simplify]: Simplify k into k 1.259 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.259 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.259 * [taylor]: Taking taylor expansion of 2 in n 1.259 * [backup-simplify]: Simplify 2 into 2 1.259 * [taylor]: Taking taylor expansion of (* n PI) in n 1.259 * [taylor]: Taking taylor expansion of n in n 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 1 into 1 1.259 * [taylor]: Taking taylor expansion of PI in n 1.259 * [backup-simplify]: Simplify PI into PI 1.259 * [backup-simplify]: Simplify (* 0 PI) into 0 1.260 * [backup-simplify]: Simplify (* 2 0) into 0 1.261 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.261 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.262 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.262 * [backup-simplify]: Simplify (- k) into (- k) 1.262 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 1.262 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1.263 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.264 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1.264 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.264 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.264 * [taylor]: Taking taylor expansion of k in n 1.264 * [backup-simplify]: Simplify k into k 1.264 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.264 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1.265 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) 1.265 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 1.265 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 1.265 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 1.265 * [taylor]: Taking taylor expansion of 1/2 in k 1.265 * [backup-simplify]: Simplify 1/2 into 1/2 1.265 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 1.265 * [taylor]: Taking taylor expansion of (- 1 k) in k 1.265 * [taylor]: Taking taylor expansion of 1 in k 1.265 * [backup-simplify]: Simplify 1 into 1 1.265 * [taylor]: Taking taylor expansion of k in k 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify 1 into 1 1.265 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1.265 * [taylor]: Taking taylor expansion of (log n) in k 1.265 * [taylor]: Taking taylor expansion of n in k 1.265 * [backup-simplify]: Simplify n into n 1.266 * [backup-simplify]: Simplify (log n) into (log n) 1.266 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.266 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.266 * [taylor]: Taking taylor expansion of 2 in k 1.266 * [backup-simplify]: Simplify 2 into 2 1.266 * [taylor]: Taking taylor expansion of PI in k 1.266 * [backup-simplify]: Simplify PI into PI 1.266 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.266 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.267 * [backup-simplify]: Simplify (- 0) into 0 1.267 * [backup-simplify]: Simplify (+ 1 0) into 1 1.268 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.268 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 1.269 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1.270 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1.270 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.270 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.270 * [taylor]: Taking taylor expansion of k in k 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify 1 into 1 1.270 * [backup-simplify]: Simplify (/ 1 1) into 1 1.270 * [backup-simplify]: Simplify (sqrt 0) into 0 1.272 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.273 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1.273 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.275 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1.276 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.277 * [backup-simplify]: Simplify (- 0) into 0 1.277 * [backup-simplify]: Simplify (+ 0 0) into 0 1.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 1.279 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.280 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1.282 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.283 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1.283 * [taylor]: Taking taylor expansion of 0 in k 1.283 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.285 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.287 * [backup-simplify]: Simplify (+ 0 0) into 0 1.287 * [backup-simplify]: Simplify (- 1) into -1 1.288 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.289 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 1.291 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1.294 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.296 * [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))))))) 1.297 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.298 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.299 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.301 * [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 1.301 * [backup-simplify]: Simplify (- 0) into 0 1.301 * [backup-simplify]: Simplify (+ 0 0) into 0 1.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 1.302 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.303 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.305 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.306 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1.306 * [taylor]: Taking taylor expansion of 0 in k 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.308 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.309 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.310 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.312 * [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 1.312 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (- 0) into 0 1.312 * [backup-simplify]: Simplify (+ 0 0) into 0 1.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.317 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 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))))) 1.322 * [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)))))))) 1.326 * [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)))))))) 1.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.332 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.335 * [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 1.336 * [backup-simplify]: Simplify (- 0) into 0 1.336 * [backup-simplify]: Simplify (+ 0 0) into 0 1.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 1.338 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.339 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.340 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.341 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1.342 * [taylor]: Taking taylor expansion of 0 in k 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.345 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.347 * [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 1.348 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.351 * [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 1.351 * [backup-simplify]: Simplify (+ 0 0) into 0 1.351 * [backup-simplify]: Simplify (- 0) into 0 1.351 * [backup-simplify]: Simplify (+ 0 0) into 0 1.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.358 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 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))))))) 1.374 * [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)))))))))))))) 1.384 * [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)))))))))))))) 1.395 * [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)))))))))))))))))))))) 1.395 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 1.395 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.395 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.395 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.395 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.395 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.395 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.395 * [taylor]: Taking taylor expansion of 1/2 in k 1.395 * [backup-simplify]: Simplify 1/2 into 1/2 1.395 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.395 * [taylor]: Taking taylor expansion of 1 in k 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.395 * [taylor]: Taking taylor expansion of k in k 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.396 * [backup-simplify]: Simplify (/ 1 1) into 1 1.396 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.396 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.396 * [taylor]: Taking taylor expansion of 2 in k 1.396 * [backup-simplify]: Simplify 2 into 2 1.396 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.396 * [taylor]: Taking taylor expansion of PI in k 1.396 * [backup-simplify]: Simplify PI into PI 1.396 * [taylor]: Taking taylor expansion of n in k 1.396 * [backup-simplify]: Simplify n into n 1.396 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.396 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.396 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.396 * [backup-simplify]: Simplify (- 1) into -1 1.396 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.397 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.397 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.397 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.397 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.397 * [taylor]: Taking taylor expansion of k in k 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (sqrt 0) into 0 1.398 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.398 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.398 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.398 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.398 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.398 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.398 * [taylor]: Taking taylor expansion of 1/2 in n 1.398 * [backup-simplify]: Simplify 1/2 into 1/2 1.398 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.398 * [taylor]: Taking taylor expansion of 1 in n 1.398 * [backup-simplify]: Simplify 1 into 1 1.398 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.398 * [taylor]: Taking taylor expansion of k in n 1.398 * [backup-simplify]: Simplify k into k 1.398 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.398 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.398 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.398 * [taylor]: Taking taylor expansion of 2 in n 1.398 * [backup-simplify]: Simplify 2 into 2 1.398 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.398 * [taylor]: Taking taylor expansion of PI in n 1.398 * [backup-simplify]: Simplify PI into PI 1.398 * [taylor]: Taking taylor expansion of n in n 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.399 * [backup-simplify]: Simplify (/ PI 1) into PI 1.399 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.400 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.400 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.400 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.400 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.401 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.401 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.402 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1.402 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.402 * [taylor]: Taking taylor expansion of k in n 1.402 * [backup-simplify]: Simplify k into k 1.402 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.402 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.402 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.402 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.402 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.402 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.402 * [taylor]: Taking taylor expansion of 1/2 in n 1.402 * [backup-simplify]: Simplify 1/2 into 1/2 1.402 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.402 * [taylor]: Taking taylor expansion of 1 in n 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.402 * [taylor]: Taking taylor expansion of k in n 1.402 * [backup-simplify]: Simplify k into k 1.402 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.402 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.402 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.402 * [taylor]: Taking taylor expansion of 2 in n 1.402 * [backup-simplify]: Simplify 2 into 2 1.402 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.402 * [taylor]: Taking taylor expansion of PI in n 1.403 * [backup-simplify]: Simplify PI into PI 1.403 * [taylor]: Taking taylor expansion of n in n 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (/ PI 1) into PI 1.403 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.404 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.404 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.404 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.404 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.405 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.406 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.406 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1.406 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.406 * [taylor]: Taking taylor expansion of k in n 1.406 * [backup-simplify]: Simplify k into k 1.406 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.407 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) 1.407 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.407 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.407 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.407 * [taylor]: Taking taylor expansion of 1/2 in k 1.407 * [backup-simplify]: Simplify 1/2 into 1/2 1.407 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.407 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.407 * [taylor]: Taking taylor expansion of 1 in k 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.407 * [taylor]: Taking taylor expansion of k in k 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.408 * [backup-simplify]: Simplify (/ 1 1) into 1 1.408 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.408 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.408 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.408 * [taylor]: Taking taylor expansion of 2 in k 1.408 * [backup-simplify]: Simplify 2 into 2 1.408 * [taylor]: Taking taylor expansion of PI in k 1.408 * [backup-simplify]: Simplify PI into PI 1.408 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.409 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.409 * [taylor]: Taking taylor expansion of (log n) in k 1.409 * [taylor]: Taking taylor expansion of n in k 1.409 * [backup-simplify]: Simplify n into n 1.409 * [backup-simplify]: Simplify (log n) into (log n) 1.409 * [backup-simplify]: Simplify (- 1) into -1 1.409 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.409 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.410 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.410 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.411 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.412 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1.413 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.413 * [taylor]: Taking taylor expansion of k in k 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [backup-simplify]: Simplify (sqrt 0) into 0 1.415 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.416 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.416 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.417 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.420 * [backup-simplify]: Simplify (- 0) into 0 1.420 * [backup-simplify]: Simplify (+ 0 0) into 0 1.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.422 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.423 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.425 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.426 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.426 * [taylor]: Taking taylor expansion of 0 in k 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.430 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.430 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.431 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.433 * [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 1.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.433 * [backup-simplify]: Simplify (- 0) into 0 1.434 * [backup-simplify]: Simplify (+ 0 0) into 0 1.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.435 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.436 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.437 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.438 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.438 * [taylor]: Taking taylor expansion of 0 in k 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.442 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.442 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.444 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.447 * [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 1.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.448 * [backup-simplify]: Simplify (- 0) into 0 1.448 * [backup-simplify]: Simplify (+ 0 0) into 0 1.449 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.450 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.451 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.452 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 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 1.454 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.454 * [taylor]: Taking taylor expansion of 0 in k 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.460 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.461 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.465 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 1.466 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 1.466 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.466 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.466 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.466 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.466 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.466 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.466 * [taylor]: Taking taylor expansion of 1/2 in k 1.466 * [backup-simplify]: Simplify 1/2 into 1/2 1.466 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.466 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.466 * [taylor]: Taking taylor expansion of k in k 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 1 into 1 1.466 * [backup-simplify]: Simplify (/ 1 1) into 1 1.466 * [taylor]: Taking taylor expansion of 1 in k 1.466 * [backup-simplify]: Simplify 1 into 1 1.466 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.466 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.466 * [taylor]: Taking taylor expansion of -2 in k 1.467 * [backup-simplify]: Simplify -2 into -2 1.467 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.467 * [taylor]: Taking taylor expansion of PI in k 1.467 * [backup-simplify]: Simplify PI into PI 1.467 * [taylor]: Taking taylor expansion of n in k 1.467 * [backup-simplify]: Simplify n into n 1.467 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.467 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.467 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.467 * [backup-simplify]: Simplify (+ 1 0) into 1 1.468 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.468 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.468 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.468 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.468 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.468 * [taylor]: Taking taylor expansion of -1 in k 1.468 * [backup-simplify]: Simplify -1 into -1 1.468 * [taylor]: Taking taylor expansion of k in k 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (/ -1 1) into -1 1.469 * [backup-simplify]: Simplify (sqrt 0) into 0 1.470 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.470 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 1.470 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.471 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.471 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.471 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.471 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.471 * [taylor]: Taking taylor expansion of 1/2 in n 1.471 * [backup-simplify]: Simplify 1/2 into 1/2 1.471 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.471 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.471 * [taylor]: Taking taylor expansion of k in n 1.471 * [backup-simplify]: Simplify k into k 1.471 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.471 * [taylor]: Taking taylor expansion of 1 in n 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.471 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.471 * [taylor]: Taking taylor expansion of -2 in n 1.471 * [backup-simplify]: Simplify -2 into -2 1.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.471 * [taylor]: Taking taylor expansion of PI in n 1.471 * [backup-simplify]: Simplify PI into PI 1.471 * [taylor]: Taking taylor expansion of n in n 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [backup-simplify]: Simplify (/ PI 1) into PI 1.471 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.472 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.472 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.472 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.473 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.474 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.474 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1.474 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.474 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.474 * [taylor]: Taking taylor expansion of -1 in n 1.474 * [backup-simplify]: Simplify -1 into -1 1.474 * [taylor]: Taking taylor expansion of k in n 1.474 * [backup-simplify]: Simplify k into k 1.474 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.475 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.475 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.475 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 1.475 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.475 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.475 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.475 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.475 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.475 * [taylor]: Taking taylor expansion of 1/2 in n 1.475 * [backup-simplify]: Simplify 1/2 into 1/2 1.475 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.476 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.476 * [taylor]: Taking taylor expansion of k in n 1.476 * [backup-simplify]: Simplify k into k 1.476 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.476 * [taylor]: Taking taylor expansion of 1 in n 1.476 * [backup-simplify]: Simplify 1 into 1 1.476 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.476 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.476 * [taylor]: Taking taylor expansion of -2 in n 1.476 * [backup-simplify]: Simplify -2 into -2 1.476 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.476 * [taylor]: Taking taylor expansion of PI in n 1.476 * [backup-simplify]: Simplify PI into PI 1.476 * [taylor]: Taking taylor expansion of n in n 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 1 into 1 1.476 * [backup-simplify]: Simplify (/ PI 1) into PI 1.476 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.477 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.477 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.477 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.478 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.479 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.479 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1.479 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.479 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.479 * [taylor]: Taking taylor expansion of -1 in n 1.479 * [backup-simplify]: Simplify -1 into -1 1.479 * [taylor]: Taking taylor expansion of k in n 1.479 * [backup-simplify]: Simplify k into k 1.479 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.479 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.479 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.480 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 1.480 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.480 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.480 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.480 * [taylor]: Taking taylor expansion of 1/2 in k 1.480 * [backup-simplify]: Simplify 1/2 into 1/2 1.480 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.480 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.480 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.480 * [taylor]: Taking taylor expansion of k in k 1.480 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 1 into 1 1.481 * [backup-simplify]: Simplify (/ 1 1) into 1 1.481 * [taylor]: Taking taylor expansion of 1 in k 1.481 * [backup-simplify]: Simplify 1 into 1 1.481 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.481 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.481 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.481 * [taylor]: Taking taylor expansion of -2 in k 1.481 * [backup-simplify]: Simplify -2 into -2 1.481 * [taylor]: Taking taylor expansion of PI in k 1.481 * [backup-simplify]: Simplify PI into PI 1.481 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.482 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.482 * [taylor]: Taking taylor expansion of (log n) in k 1.482 * [taylor]: Taking taylor expansion of n in k 1.482 * [backup-simplify]: Simplify n into n 1.482 * [backup-simplify]: Simplify (log n) into (log n) 1.482 * [backup-simplify]: Simplify (+ 1 0) into 1 1.482 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.483 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.484 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.484 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.485 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1.485 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.485 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.485 * [taylor]: Taking taylor expansion of -1 in k 1.485 * [backup-simplify]: Simplify -1 into -1 1.485 * [taylor]: Taking taylor expansion of k in k 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify 1 into 1 1.485 * [backup-simplify]: Simplify (/ -1 1) into -1 1.486 * [backup-simplify]: Simplify (sqrt 0) into 0 1.486 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.487 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1.488 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.489 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.490 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.490 * [backup-simplify]: Simplify (+ 0 0) into 0 1.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.491 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.492 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.493 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.494 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1.494 * [taylor]: Taking taylor expansion of 0 in k 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.496 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.497 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.498 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.503 * [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 1.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.504 * [backup-simplify]: Simplify (+ 0 0) into 0 1.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.506 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.508 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.510 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.510 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.511 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.512 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1.512 * [taylor]: Taking taylor expansion of 0 in k 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.521 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.522 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.526 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1.527 * * * [progress]: simplifying candidates 1.527 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 1.527 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.527 * * [simplify]: iters left: 6 (13 enodes) 1.538 * * [simplify]: iters left: 5 (54 enodes) 1.555 * * [simplify]: iters left: 4 (97 enodes) 1.585 * * [simplify]: iters left: 3 (244 enodes) 1.664 * * [simplify]: Extracting #0: cost 1 inf + 0 1.664 * * [simplify]: Extracting #1: cost 32 inf + 0 1.664 * * [simplify]: Extracting #2: cost 126 inf + 2 1.665 * * [simplify]: Extracting #3: cost 173 inf + 75 1.666 * * [simplify]: Extracting #4: cost 127 inf + 6635 1.672 * * [simplify]: Extracting #5: cost 15 inf + 36816 1.686 * * [simplify]: Extracting #6: cost 0 inf + 41489 1.694 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.694 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (sqrt k))) 1.694 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 1.694 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.694 * * [simplify]: iters left: 6 (12 enodes) 1.699 * * [simplify]: iters left: 5 (52 enodes) 1.707 * * [simplify]: iters left: 4 (90 enodes) 1.737 * * [simplify]: iters left: 3 (203 enodes) 1.825 * * [simplify]: Extracting #0: cost 1 inf + 0 1.825 * * [simplify]: Extracting #1: cost 29 inf + 0 1.826 * * [simplify]: Extracting #2: cost 112 inf + 2 1.826 * * [simplify]: Extracting #3: cost 149 inf + 341 1.827 * * [simplify]: Extracting #4: cost 110 inf + 5554 1.831 * * [simplify]: Extracting #5: cost 30 inf + 23496 1.839 * * [simplify]: Extracting #6: cost 1 inf + 31878 1.847 * * [simplify]: Extracting #7: cost 0 inf + 32142 1.859 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 1.859 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 1.859 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 1.859 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.859 * * [simplify]: iters left: 6 (11 enodes) 1.863 * * [simplify]: iters left: 5 (51 enodes) 1.872 * * [simplify]: iters left: 4 (97 enodes) 1.891 * * [simplify]: iters left: 3 (199 enodes) 1.959 * * [simplify]: Extracting #0: cost 1 inf + 0 1.959 * * [simplify]: Extracting #1: cost 32 inf + 0 1.960 * * [simplify]: Extracting #2: cost 113 inf + 2 1.961 * * [simplify]: Extracting #3: cost 154 inf + 200 1.962 * * [simplify]: Extracting #4: cost 123 inf + 3386 1.965 * * [simplify]: Extracting #5: cost 47 inf + 17339 1.970 * * [simplify]: Extracting #6: cost 3 inf + 27690 1.976 * * [simplify]: Extracting #7: cost 0 inf + 28612 1.981 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 1.981 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 1.982 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 1.982 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.982 * * [simplify]: iters left: 6 (11 enodes) 1.985 * * [simplify]: iters left: 5 (51 enodes) 1.997 * * [simplify]: iters left: 4 (97 enodes) 2.033 * * [simplify]: iters left: 3 (199 enodes) 2.097 * * [simplify]: Extracting #0: cost 1 inf + 0 2.097 * * [simplify]: Extracting #1: cost 32 inf + 0 2.098 * * [simplify]: Extracting #2: cost 113 inf + 2 2.099 * * [simplify]: Extracting #3: cost 154 inf + 200 2.099 * * [simplify]: Extracting #4: cost 123 inf + 3386 2.102 * * [simplify]: Extracting #5: cost 47 inf + 17339 2.107 * * [simplify]: Extracting #6: cost 3 inf + 27690 2.113 * * [simplify]: Extracting #7: cost 0 inf + 28612 2.121 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 2.121 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 2.121 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 2.121 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 2.121 * * [simplify]: iters left: 6 (6 enodes) 2.124 * * [simplify]: iters left: 5 (27 enodes) 2.131 * * [simplify]: iters left: 4 (47 enodes) 2.146 * * [simplify]: iters left: 3 (59 enodes) 2.164 * * [simplify]: iters left: 2 (77 enodes) 2.187 * * [simplify]: iters left: 1 (104 enodes) 2.211 * * [simplify]: Extracting #0: cost 1 inf + 0 2.211 * * [simplify]: Extracting #1: cost 9 inf + 0 2.211 * * [simplify]: Extracting #2: cost 18 inf + 3 2.212 * * [simplify]: Extracting #3: cost 15 inf + 131 2.212 * * [simplify]: Extracting #4: cost 2 inf + 962 2.213 * * [simplify]: Extracting #5: cost 0 inf + 1086 2.214 * [simplify]: Simplified to (* 1/2 (- 1 k)) 2.214 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt k))) 2.214 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 2.214 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 2.214 * * [simplify]: iters left: 6 (6 enodes) 2.219 * * [simplify]: iters left: 5 (27 enodes) 2.229 * * [simplify]: iters left: 4 (47 enodes) 2.243 * * [simplify]: iters left: 3 (59 enodes) 2.263 * * [simplify]: iters left: 2 (77 enodes) 2.286 * * [simplify]: iters left: 1 (104 enodes) 2.310 * * [simplify]: Extracting #0: cost 1 inf + 0 2.310 * * [simplify]: Extracting #1: cost 9 inf + 0 2.311 * * [simplify]: Extracting #2: cost 18 inf + 3 2.311 * * [simplify]: Extracting #3: cost 15 inf + 131 2.311 * * [simplify]: Extracting #4: cost 2 inf + 962 2.311 * * [simplify]: Extracting #5: cost 0 inf + 1086 2.312 * [simplify]: Simplified to (* 1/2 (- 1 k)) 2.312 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt k))) 2.312 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 2.312 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 2.312 * * [simplify]: iters left: 6 (6 enodes) 2.315 * * [simplify]: iters left: 5 (27 enodes) 2.320 * * [simplify]: iters left: 4 (47 enodes) 2.328 * * [simplify]: iters left: 3 (59 enodes) 2.337 * * [simplify]: iters left: 2 (77 enodes) 2.356 * * [simplify]: iters left: 1 (104 enodes) 2.372 * * [simplify]: Extracting #0: cost 1 inf + 0 2.372 * * [simplify]: Extracting #1: cost 9 inf + 0 2.372 * * [simplify]: Extracting #2: cost 18 inf + 3 2.372 * * [simplify]: Extracting #3: cost 15 inf + 131 2.372 * * [simplify]: Extracting #4: cost 2 inf + 962 2.373 * * [simplify]: Extracting #5: cost 0 inf + 1086 2.373 * [simplify]: Simplified to (* 1/2 (- 1 k)) 2.373 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt k))) 2.374 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 2.374 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 2.374 * * [simplify]: iters left: 5 (8 enodes) 2.377 * * [simplify]: iters left: 4 (35 enodes) 2.384 * * [simplify]: iters left: 3 (63 enodes) 2.406 * * [simplify]: iters left: 2 (108 enodes) 2.437 * * [simplify]: iters left: 1 (162 enodes) 2.493 * * [simplify]: Extracting #0: cost 1 inf + 0 2.493 * * [simplify]: Extracting #1: cost 14 inf + 0 2.494 * * [simplify]: Extracting #2: cost 44 inf + 2 2.494 * * [simplify]: Extracting #3: cost 39 inf + 94 2.495 * * [simplify]: Extracting #4: cost 24 inf + 2779 2.498 * * [simplify]: Extracting #5: cost 3 inf + 12838 2.502 * * [simplify]: Extracting #6: cost 0 inf + 14804 2.505 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 2.505 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k))) 2.506 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 2.506 * * [simplify]: iters left: 5 (8 enodes) 2.510 * * [simplify]: iters left: 4 (31 enodes) 2.519 * * [simplify]: iters left: 3 (51 enodes) 2.528 * * [simplify]: iters left: 2 (85 enodes) 2.543 * * [simplify]: iters left: 1 (152 enodes) 2.577 * * [simplify]: Extracting #0: cost 1 inf + 0 2.577 * * [simplify]: Extracting #1: cost 13 inf + 0 2.578 * * [simplify]: Extracting #2: cost 59 inf + 1 2.578 * * [simplify]: Extracting #3: cost 76 inf + 9 2.579 * * [simplify]: Extracting #4: cost 41 inf + 3303 2.580 * * [simplify]: Extracting #5: cost 16 inf + 10676 2.586 * * [simplify]: Extracting #6: cost 0 inf + 21028 2.588 * * [simplify]: Extracting #7: cost 0 inf + 20456 2.591 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 2.591 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 2.591 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 2.591 * [simplify]: Simplifying (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 2.591 * * [simplify]: iters left: 6 (12 enodes) 2.595 * * [simplify]: iters left: 5 (51 enodes) 2.604 * * [simplify]: iters left: 4 (79 enodes) 2.622 * * [simplify]: iters left: 3 (118 enodes) 2.645 * * [simplify]: iters left: 2 (199 enodes) 2.712 * * [simplify]: iters left: 1 (360 enodes) 2.892 * * [simplify]: Extracting #0: cost 1 inf + 0 2.892 * * [simplify]: Extracting #1: cost 27 inf + 0 2.892 * * [simplify]: Extracting #2: cost 115 inf + 1 2.893 * * [simplify]: Extracting #3: cost 207 inf + 175 2.894 * * [simplify]: Extracting #4: cost 217 inf + 429 2.896 * * [simplify]: Extracting #5: cost 222 inf + 429 2.898 * * [simplify]: Extracting #6: cost 216 inf + 1004 2.906 * * [simplify]: Extracting #7: cost 107 inf + 27512 2.933 * * [simplify]: Extracting #8: cost 20 inf + 75005 2.972 * * [simplify]: Extracting #9: cost 0 inf + 91941 3.015 * * [simplify]: Extracting #10: cost 0 inf + 91455 3.054 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 3.054 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k))) 3.054 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 3.055 * [simplify]: Simplifying (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) 3.055 * * [simplify]: iters left: 6 (11 enodes) 3.062 * * [simplify]: iters left: 5 (48 enodes) 3.077 * * [simplify]: iters left: 4 (74 enodes) 3.099 * * [simplify]: iters left: 3 (105 enodes) 3.131 * * [simplify]: iters left: 2 (161 enodes) 3.189 * * [simplify]: iters left: 1 (278 enodes) 3.328 * * [simplify]: Extracting #0: cost 1 inf + 0 3.328 * * [simplify]: Extracting #1: cost 29 inf + 0 3.328 * * [simplify]: Extracting #2: cost 105 inf + 1 3.329 * * [simplify]: Extracting #3: cost 135 inf + 174 3.329 * * [simplify]: Extracting #4: cost 134 inf + 388 3.330 * * [simplify]: Extracting #5: cost 131 inf + 556 3.332 * * [simplify]: Extracting #6: cost 91 inf + 9824 3.337 * * [simplify]: Extracting #7: cost 47 inf + 29501 3.348 * * [simplify]: Extracting #8: cost 4 inf + 67518 3.376 * * [simplify]: Extracting #9: cost 0 inf + 71195 3.392 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) 3.392 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 3.392 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 3.393 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) 3.393 * * [simplify]: iters left: 6 (14 enodes) 3.397 * * [simplify]: iters left: 5 (59 enodes) 3.407 * * [simplify]: iters left: 4 (104 enodes) 3.434 * * [simplify]: iters left: 3 (186 enodes) 3.498 * * [simplify]: iters left: 2 (434 enodes) 3.815 * * [simplify]: Extracting #0: cost 1 inf + 0 3.815 * * [simplify]: Extracting #1: cost 12 inf + 0 3.815 * * [simplify]: Extracting #2: cost 111 inf + 1 3.816 * * [simplify]: Extracting #3: cost 232 inf + 215 3.817 * * [simplify]: Extracting #4: cost 231 inf + 1718 3.820 * * [simplify]: Extracting #5: cost 169 inf + 16571 3.839 * * [simplify]: Extracting #6: cost 40 inf + 55999 3.862 * * [simplify]: Extracting #7: cost 18 inf + 67518 3.881 * * [simplify]: Extracting #8: cost 0 inf + 84772 3.898 * * [simplify]: Extracting #9: cost 0 inf + 84654 3.914 * * [simplify]: Extracting #10: cost 0 inf + 84576 3.934 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 3.934 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k))) 3.934 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 3.935 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) 3.935 * * [simplify]: iters left: 6 (13 enodes) 3.942 * * [simplify]: iters left: 5 (52 enodes) 3.959 * * [simplify]: iters left: 4 (82 enodes) 3.986 * * [simplify]: iters left: 3 (136 enodes) 4.011 * * [simplify]: iters left: 2 (272 enodes) 4.111 * * [simplify]: Extracting #0: cost 1 inf + 0 4.111 * * [simplify]: Extracting #1: cost 12 inf + 0 4.111 * * [simplify]: Extracting #2: cost 87 inf + 1 4.112 * * [simplify]: Extracting #3: cost 151 inf + 6 4.114 * * [simplify]: Extracting #4: cost 144 inf + 992 4.115 * * [simplify]: Extracting #5: cost 131 inf + 2339 4.122 * * [simplify]: Extracting #6: cost 59 inf + 21693 4.138 * * [simplify]: Extracting #7: cost 9 inf + 46808 4.152 * * [simplify]: Extracting #8: cost 0 inf + 55030 4.161 * * [simplify]: Extracting #9: cost 0 inf + 54610 4.171 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) 4.171 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k))) 4.174 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 4.175 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 4.175 * * [simplify]: iters left: 6 (12 enodes) 4.181 * * [simplify]: iters left: 5 (47 enodes) 4.196 * * [simplify]: iters left: 4 (83 enodes) 4.210 * * [simplify]: iters left: 3 (123 enodes) 4.237 * * [simplify]: iters left: 2 (221 enodes) 4.349 * * [simplify]: iters left: 1 (477 enodes) 4.744 * * [simplify]: Extracting #0: cost 1 inf + 0 4.744 * * [simplify]: Extracting #1: cost 35 inf + 0 4.745 * * [simplify]: Extracting #2: cost 138 inf + 1 4.747 * * [simplify]: Extracting #3: cost 228 inf + 136 4.749 * * [simplify]: Extracting #4: cost 229 inf + 431 4.752 * * [simplify]: Extracting #5: cost 217 inf + 2424 4.763 * * [simplify]: Extracting #6: cost 111 inf + 29660 4.792 * * [simplify]: Extracting #7: cost 11 inf + 91583 4.833 * * [simplify]: Extracting #8: cost 0 inf + 104455 4.870 * * [simplify]: Extracting #9: cost 0 inf + 104205 4.906 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) 4.906 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2)) (sqrt k))) 4.906 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 4.906 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 4.907 * * [simplify]: iters left: 6 (13 enodes) 4.913 * * [simplify]: iters left: 5 (52 enodes) 4.921 * * [simplify]: iters left: 4 (80 enodes) 4.935 * * [simplify]: iters left: 3 (128 enodes) 4.962 * * [simplify]: iters left: 2 (246 enodes) 5.038 * * [simplify]: iters left: 1 (493 enodes) 5.435 * * [simplify]: Extracting #0: cost 1 inf + 0 5.435 * * [simplify]: Extracting #1: cost 31 inf + 0 5.436 * * [simplify]: Extracting #2: cost 206 inf + 1 5.440 * * [simplify]: Extracting #3: cost 425 inf + 2480 5.446 * * [simplify]: Extracting #4: cost 372 inf + 13330 5.452 * * [simplify]: Extracting #5: cost 360 inf + 14710 5.473 * * [simplify]: Extracting #6: cost 162 inf + 63449 5.513 * * [simplify]: Extracting #7: cost 30 inf + 126334 5.562 * * [simplify]: Extracting #8: cost 1 inf + 157531 5.589 * * [simplify]: Extracting #9: cost 0 inf + 158689 5.636 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 5.636 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k))) 5.636 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 5.637 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) 5.637 * * [simplify]: iters left: 6 (12 enodes) 5.641 * * [simplify]: iters left: 5 (47 enodes) 5.650 * * [simplify]: iters left: 4 (71 enodes) 5.663 * * [simplify]: iters left: 3 (109 enodes) 5.682 * * [simplify]: iters left: 2 (192 enodes) 5.721 * * [simplify]: iters left: 1 (370 enodes) 5.943 * * [simplify]: Extracting #0: cost 1 inf + 0 5.943 * * [simplify]: Extracting #1: cost 29 inf + 0 5.944 * * [simplify]: Extracting #2: cost 139 inf + 1 5.945 * * [simplify]: Extracting #3: cost 266 inf + 174 5.946 * * [simplify]: Extracting #4: cost 252 inf + 1981 5.949 * * [simplify]: Extracting #5: cost 219 inf + 5566 5.952 * * [simplify]: Extracting #6: cost 214 inf + 6097 5.963 * * [simplify]: Extracting #7: cost 116 inf + 28010 5.990 * * [simplify]: Extracting #8: cost 19 inf + 79263 6.014 * * [simplify]: Extracting #9: cost 0 inf + 97892 6.030 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 6.030 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k))) 6.030 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 6.031 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) 6.031 * * [simplify]: iters left: 6 (11 enodes) 6.034 * * [simplify]: iters left: 5 (42 enodes) 6.041 * * [simplify]: iters left: 4 (64 enodes) 6.052 * * [simplify]: iters left: 3 (98 enodes) 6.073 * * [simplify]: iters left: 2 (156 enodes) 6.127 * * [simplify]: iters left: 1 (280 enodes) 6.247 * * [simplify]: Extracting #0: cost 1 inf + 0 6.248 * * [simplify]: Extracting #1: cost 30 inf + 0 6.248 * * [simplify]: Extracting #2: cost 111 inf + 1 6.248 * * [simplify]: Extracting #3: cost 134 inf + 133 6.249 * * [simplify]: Extracting #4: cost 129 inf + 429 6.250 * * [simplify]: Extracting #5: cost 117 inf + 1953 6.253 * * [simplify]: Extracting #6: cost 58 inf + 26132 6.262 * * [simplify]: Extracting #7: cost 8 inf + 66348 6.272 * * [simplify]: Extracting #8: cost 0 inf + 71787 6.295 * * [simplify]: Extracting #9: cost 0 inf + 71708 6.311 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (- 1 k))) 6.311 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 6.311 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 6.311 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 6.311 * * [simplify]: iters left: 6 (10 enodes) 6.315 * * [simplify]: iters left: 5 (41 enodes) 6.322 * * [simplify]: iters left: 4 (66 enodes) 6.335 * * [simplify]: iters left: 3 (116 enodes) 6.376 * * [simplify]: iters left: 2 (219 enodes) 6.461 * * [simplify]: Extracting #0: cost 1 inf + 0 6.461 * * [simplify]: Extracting #1: cost 12 inf + 0 6.462 * * [simplify]: Extracting #2: cost 69 inf + 1 6.462 * * [simplify]: Extracting #3: cost 115 inf + 6 6.463 * * [simplify]: Extracting #4: cost 104 inf + 1247 6.467 * * [simplify]: Extracting #5: cost 56 inf + 11061 6.476 * * [simplify]: Extracting #6: cost 4 inf + 34062 6.488 * * [simplify]: Extracting #7: cost 0 inf + 35882 6.500 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 6.500 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 6.501 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 6.501 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 6.501 * * [simplify]: iters left: 5 (9 enodes) 6.507 * * [simplify]: iters left: 4 (36 enodes) 6.520 * * [simplify]: iters left: 3 (57 enodes) 6.531 * * [simplify]: iters left: 2 (96 enodes) 6.549 * * [simplify]: iters left: 1 (171 enodes) 6.595 * * [simplify]: Extracting #0: cost 1 inf + 0 6.595 * * [simplify]: Extracting #1: cost 12 inf + 0 6.595 * * [simplify]: Extracting #2: cost 50 inf + 1 6.595 * * [simplify]: Extracting #3: cost 75 inf + 6 6.596 * * [simplify]: Extracting #4: cost 59 inf + 1253 6.599 * * [simplify]: Extracting #5: cost 25 inf + 8058 6.602 * * [simplify]: Extracting #6: cost 3 inf + 20149 6.606 * * [simplify]: Extracting #7: cost 0 inf + 22178 6.613 * * [simplify]: Extracting #8: cost 0 inf + 22007 6.620 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 6.620 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 6.620 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 6.620 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 6.620 * * [simplify]: iters left: 5 (8 enodes) 6.626 * * [simplify]: iters left: 4 (34 enodes) 6.640 * * [simplify]: iters left: 3 (64 enodes) 6.663 * * [simplify]: iters left: 2 (105 enodes) 6.698 * * [simplify]: iters left: 1 (177 enodes) 6.743 * * [simplify]: Extracting #0: cost 1 inf + 0 6.743 * * [simplify]: Extracting #1: cost 17 inf + 0 6.743 * * [simplify]: Extracting #2: cost 34 inf + 46 6.744 * * [simplify]: Extracting #3: cost 26 inf + 466 6.745 * * [simplify]: Extracting #4: cost 11 inf + 6543 6.748 * * [simplify]: Extracting #5: cost 1 inf + 10885 6.750 * * [simplify]: Extracting #6: cost 0 inf + 11179 6.753 * [simplify]: Simplified to (* (* PI 2) n) 6.754 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 6.754 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 6.754 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) 6.754 * * [simplify]: iters left: 6 (14 enodes) 6.762 * * [simplify]: iters left: 5 (54 enodes) 6.779 * * [simplify]: iters left: 4 (79 enodes) 6.804 * * [simplify]: iters left: 3 (128 enodes) 6.832 * * [simplify]: iters left: 2 (254 enodes) 6.904 * * [simplify]: Extracting #0: cost 1 inf + 0 6.904 * * [simplify]: Extracting #1: cost 12 inf + 0 6.904 * * [simplify]: Extracting #2: cost 76 inf + 1 6.905 * * [simplify]: Extracting #3: cost 138 inf + 6 6.907 * * [simplify]: Extracting #4: cost 117 inf + 3214 6.909 * * [simplify]: Extracting #5: cost 98 inf + 5726 6.914 * * [simplify]: Extracting #6: cost 51 inf + 18620 6.926 * * [simplify]: Extracting #7: cost 10 inf + 39784 6.944 * * [simplify]: Extracting #8: cost 0 inf + 50138 6.959 * * [simplify]: Extracting #9: cost 0 inf + 49797 6.967 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 6.967 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (sqrt k))) 6.967 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 6.968 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) 6.968 * * [simplify]: iters left: 6 (13 enodes) 6.972 * * [simplify]: iters left: 5 (49 enodes) 6.980 * * [simplify]: iters left: 4 (70 enodes) 6.992 * * [simplify]: iters left: 3 (109 enodes) 7.029 * * [simplify]: iters left: 2 (197 enodes) 7.080 * * [simplify]: iters left: 1 (370 enodes) 7.267 * * [simplify]: Extracting #0: cost 1 inf + 0 7.267 * * [simplify]: Extracting #1: cost 28 inf + 0 7.267 * * [simplify]: Extracting #2: cost 150 inf + 1 7.268 * * [simplify]: Extracting #3: cost 242 inf + 301 7.269 * * [simplify]: Extracting #4: cost 245 inf + 553 7.272 * * [simplify]: Extracting #5: cost 208 inf + 4623 7.283 * * [simplify]: Extracting #6: cost 97 inf + 34974 7.306 * * [simplify]: Extracting #7: cost 10 inf + 85759 7.339 * * [simplify]: Extracting #8: cost 0 inf + 94394 7.357 * * [simplify]: Extracting #9: cost 0 inf + 90300 7.378 * * [simplify]: Extracting #10: cost 0 inf + 89488 7.396 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 7.396 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (sqrt k))) 7.396 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 7.396 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) 7.396 * * [simplify]: iters left: 6 (12 enodes) 7.403 * * [simplify]: iters left: 5 (44 enodes) 7.415 * * [simplify]: iters left: 4 (63 enodes) 7.435 * * [simplify]: iters left: 3 (96 enodes) 7.452 * * [simplify]: iters left: 2 (161 enodes) 7.496 * * [simplify]: iters left: 1 (288 enodes) 7.616 * * [simplify]: Extracting #0: cost 1 inf + 0 7.616 * * [simplify]: Extracting #1: cost 29 inf + 0 7.616 * * [simplify]: Extracting #2: cost 96 inf + 1 7.617 * * [simplify]: Extracting #3: cost 129 inf + 215 7.617 * * [simplify]: Extracting #4: cost 122 inf + 512 7.619 * * [simplify]: Extracting #5: cost 70 inf + 10943 7.624 * * [simplify]: Extracting #6: cost 29 inf + 36569 7.632 * * [simplify]: Extracting #7: cost 0 inf + 63057 7.647 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 7.647 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt k))) 7.647 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 7.648 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 7.648 * * [simplify]: iters left: 6 (13 enodes) 7.656 * * [simplify]: iters left: 5 (51 enodes) 7.672 * * [simplify]: iters left: 4 (76 enodes) 7.696 * * [simplify]: iters left: 3 (124 enodes) 7.730 * * [simplify]: iters left: 2 (250 enodes) 7.795 * * [simplify]: Extracting #0: cost 1 inf + 0 7.795 * * [simplify]: Extracting #1: cost 13 inf + 0 7.796 * * [simplify]: Extracting #2: cost 76 inf + 1 7.797 * * [simplify]: Extracting #3: cost 136 inf + 209 7.798 * * [simplify]: Extracting #4: cost 123 inf + 2644 7.800 * * [simplify]: Extracting #5: cost 99 inf + 5724 7.808 * * [simplify]: Extracting #6: cost 53 inf + 17456 7.813 * * [simplify]: Extracting #7: cost 9 inf + 40672 7.821 * * [simplify]: Extracting #8: cost 0 inf + 48738 7.828 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 7.829 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 7.829 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 7.829 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) 7.829 * * [simplify]: iters left: 6 (12 enodes) 7.833 * * [simplify]: iters left: 5 (46 enodes) 7.844 * * [simplify]: iters left: 4 (67 enodes) 7.855 * * [simplify]: iters left: 3 (106 enodes) 7.880 * * [simplify]: iters left: 2 (197 enodes) 7.955 * * [simplify]: iters left: 1 (374 enodes) 8.181 * * [simplify]: Extracting #0: cost 1 inf + 0 8.181 * * [simplify]: Extracting #1: cost 30 inf + 0 8.182 * * [simplify]: Extracting #2: cost 143 inf + 1 8.183 * * [simplify]: Extracting #3: cost 252 inf + 299 8.186 * * [simplify]: Extracting #4: cost 234 inf + 2830 8.190 * * [simplify]: Extracting #5: cost 202 inf + 7223 8.205 * * [simplify]: Extracting #6: cost 103 inf + 25697 8.226 * * [simplify]: Extracting #7: cost 36 inf + 61529 8.253 * * [simplify]: Extracting #8: cost 1 inf + 97588 8.270 * * [simplify]: Extracting #9: cost 0 inf + 97455 8.287 * * [simplify]: Extracting #10: cost 0 inf + 97044 8.310 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 8.310 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 8.310 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 8.310 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 8.311 * * [simplify]: iters left: 6 (11 enodes) 8.316 * * [simplify]: iters left: 5 (41 enodes) 8.329 * * [simplify]: iters left: 4 (60 enodes) 8.349 * * [simplify]: iters left: 3 (94 enodes) 8.378 * * [simplify]: iters left: 2 (156 enodes) 8.410 * * [simplify]: iters left: 1 (285 enodes) 8.517 * * [simplify]: Extracting #0: cost 1 inf + 0 8.517 * * [simplify]: Extracting #1: cost 29 inf + 0 8.517 * * [simplify]: Extracting #2: cost 102 inf + 1 8.518 * * [simplify]: Extracting #3: cost 133 inf + 216 8.519 * * [simplify]: Extracting #4: cost 126 inf + 512 8.521 * * [simplify]: Extracting #5: cost 70 inf + 19530 8.529 * * [simplify]: Extracting #6: cost 8 inf + 59419 8.543 * * [simplify]: Extracting #7: cost 0 inf + 65794 8.562 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 8.562 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 8.562 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 8.563 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 8.563 * * [simplify]: iters left: 6 (10 enodes) 8.570 * * [simplify]: iters left: 5 (41 enodes) 8.583 * * [simplify]: iters left: 4 (66 enodes) 8.599 * * [simplify]: iters left: 3 (116 enodes) 8.621 * * [simplify]: iters left: 2 (219 enodes) 8.717 * * [simplify]: Extracting #0: cost 1 inf + 0 8.717 * * [simplify]: Extracting #1: cost 12 inf + 0 8.717 * * [simplify]: Extracting #2: cost 69 inf + 1 8.718 * * [simplify]: Extracting #3: cost 115 inf + 6 8.719 * * [simplify]: Extracting #4: cost 104 inf + 1247 8.722 * * [simplify]: Extracting #5: cost 56 inf + 11061 8.732 * * [simplify]: Extracting #6: cost 4 inf + 34062 8.744 * * [simplify]: Extracting #7: cost 0 inf + 35882 8.755 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 8.755 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 8.755 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 8.756 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 8.756 * * [simplify]: iters left: 5 (9 enodes) 8.761 * * [simplify]: iters left: 4 (36 enodes) 8.773 * * [simplify]: iters left: 3 (57 enodes) 8.792 * * [simplify]: iters left: 2 (96 enodes) 8.827 * * [simplify]: iters left: 1 (171 enodes) 8.872 * * [simplify]: Extracting #0: cost 1 inf + 0 8.873 * * [simplify]: Extracting #1: cost 12 inf + 0 8.873 * * [simplify]: Extracting #2: cost 50 inf + 1 8.873 * * [simplify]: Extracting #3: cost 75 inf + 6 8.874 * * [simplify]: Extracting #4: cost 59 inf + 1253 8.877 * * [simplify]: Extracting #5: cost 25 inf + 8058 8.883 * * [simplify]: Extracting #6: cost 3 inf + 20149 8.890 * * [simplify]: Extracting #7: cost 0 inf + 22178 8.897 * * [simplify]: Extracting #8: cost 0 inf + 22007 8.903 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 8.904 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 8.904 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 8.904 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 8.904 * * [simplify]: iters left: 5 (8 enodes) 8.910 * * [simplify]: iters left: 4 (34 enodes) 8.924 * * [simplify]: iters left: 3 (64 enodes) 8.950 * * [simplify]: iters left: 2 (105 enodes) 8.985 * * [simplify]: iters left: 1 (177 enodes) 9.049 * * [simplify]: Extracting #0: cost 1 inf + 0 9.049 * * [simplify]: Extracting #1: cost 17 inf + 0 9.049 * * [simplify]: Extracting #2: cost 34 inf + 46 9.050 * * [simplify]: Extracting #3: cost 26 inf + 466 9.051 * * [simplify]: Extracting #4: cost 11 inf + 6543 9.054 * * [simplify]: Extracting #5: cost 1 inf + 10885 9.057 * * [simplify]: Extracting #6: cost 0 inf + 11179 9.060 * [simplify]: Simplified to (* (* PI 2) n) 9.060 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 9.060 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 9.061 * [simplify]: Simplifying (pow (* n (* 2 PI)) 1) 9.061 * * [simplify]: iters left: 5 (7 enodes) 9.066 * * [simplify]: iters left: 4 (30 enodes) 9.082 * * [simplify]: iters left: 3 (58 enodes) 9.094 * * [simplify]: iters left: 2 (99 enodes) 9.115 * * [simplify]: iters left: 1 (171 enodes) 9.157 * * [simplify]: Extracting #0: cost 1 inf + 0 9.157 * * [simplify]: Extracting #1: cost 18 inf + 0 9.157 * * [simplify]: Extracting #2: cost 35 inf + 46 9.157 * * [simplify]: Extracting #3: cost 25 inf + 1347 9.159 * * [simplify]: Extracting #4: cost 14 inf + 5442 9.161 * * [simplify]: Extracting #5: cost 7 inf + 7909 9.164 * * [simplify]: Extracting #6: cost 0 inf + 11764 9.167 * [simplify]: Simplified to (* (* PI 2) n) 9.168 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 9.168 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 9.168 * [simplify]: Simplifying (pow (* n (* 2 PI)) (- 1 k)) 9.168 * * [simplify]: iters left: 5 (9 enodes) 9.174 * * [simplify]: iters left: 4 (38 enodes) 9.180 * * [simplify]: iters left: 3 (64 enodes) 9.191 * * [simplify]: iters left: 2 (102 enodes) 9.214 * * [simplify]: iters left: 1 (175 enodes) 9.256 * * [simplify]: Extracting #0: cost 1 inf + 0 9.256 * * [simplify]: Extracting #1: cost 13 inf + 0 9.256 * * [simplify]: Extracting #2: cost 60 inf + 1 9.256 * * [simplify]: Extracting #3: cost 84 inf + 132 9.257 * * [simplify]: Extracting #4: cost 53 inf + 3484 9.259 * * [simplify]: Extracting #5: cost 20 inf + 12286 9.266 * * [simplify]: Extracting #6: cost 1 inf + 23776 9.273 * * [simplify]: Extracting #7: cost 0 inf + 24443 9.279 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1 k)) 9.279 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (- 1 k)) (/ 1 2)) (sqrt k))) 9.279 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 9.280 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 9.280 * * [simplify]: iters left: 5 (7 enodes) 9.282 * * [simplify]: iters left: 4 (32 enodes) 9.288 * * [simplify]: iters left: 3 (57 enodes) 9.298 * * [simplify]: iters left: 2 (90 enodes) 9.323 * * [simplify]: iters left: 1 (170 enodes) 9.393 * * [simplify]: Extracting #0: cost 1 inf + 0 9.393 * * [simplify]: Extracting #1: cost 13 inf + 0 9.394 * * [simplify]: Extracting #2: cost 54 inf + 2 9.394 * * [simplify]: Extracting #3: cost 89 inf + 6 9.395 * * [simplify]: Extracting #4: cost 78 inf + 1344 9.397 * * [simplify]: Extracting #5: cost 20 inf + 14664 9.400 * * [simplify]: Extracting #6: cost 1 inf + 22045 9.404 * * [simplify]: Extracting #7: cost 0 inf + 21300 9.408 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 9.408 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 9.408 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 9.408 * * [simplify]: iters left: 5 (8 enodes) 9.411 * * [simplify]: iters left: 4 (36 enodes) 9.418 * * [simplify]: iters left: 3 (57 enodes) 9.431 * * [simplify]: iters left: 2 (92 enodes) 9.467 * * [simplify]: iters left: 1 (188 enodes) 9.514 * * [simplify]: Extracting #0: cost 1 inf + 0 9.514 * * [simplify]: Extracting #1: cost 13 inf + 0 9.514 * * [simplify]: Extracting #2: cost 57 inf + 1 9.514 * * [simplify]: Extracting #3: cost 92 inf + 6 9.515 * * [simplify]: Extracting #4: cost 85 inf + 1386 9.518 * * [simplify]: Extracting #5: cost 34 inf + 8770 9.524 * * [simplify]: Extracting #6: cost 1 inf + 23636 9.531 * * [simplify]: Extracting #7: cost 0 inf + 24512 9.538 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 9.538 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 9.538 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 9.538 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 9.539 * [simplify]: Simplifying (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 9.539 * * [simplify]: iters left: 6 (11 enodes) 9.545 * * [simplify]: iters left: 5 (50 enodes) 9.562 * * [simplify]: iters left: 4 (97 enodes) 9.595 * * [simplify]: iters left: 3 (196 enodes) 9.646 * * [simplify]: Extracting #0: cost 1 inf + 0 9.646 * * [simplify]: Extracting #1: cost 46 inf + 0 9.647 * * [simplify]: Extracting #2: cost 129 inf + 1 9.647 * * [simplify]: Extracting #3: cost 177 inf + 448 9.649 * * [simplify]: Extracting #4: cost 122 inf + 10236 9.653 * * [simplify]: Extracting #5: cost 25 inf + 29555 9.659 * * [simplify]: Extracting #6: cost 1 inf + 37116 9.665 * * [simplify]: Extracting #7: cost 0 inf + 37231 9.671 * [simplify]: Simplified to (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) 9.671 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- 1 k) (/ 2 (log (* (* PI 2) n))))) (sqrt k))) 9.671 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 9.672 * [simplify]: Simplifying (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 9.672 * * [simplify]: iters left: 6 (11 enodes) 9.675 * * [simplify]: iters left: 5 (48 enodes) 9.687 * * [simplify]: iters left: 4 (79 enodes) 9.716 * * [simplify]: iters left: 3 (127 enodes) 9.762 * * [simplify]: iters left: 2 (246 enodes) 9.837 * * [simplify]: iters left: 1 (490 enodes) 10.073 * * [simplify]: Extracting #0: cost 1 inf + 0 10.073 * * [simplify]: Extracting #1: cost 26 inf + 0 10.073 * * [simplify]: Extracting #2: cost 134 inf + 0 10.075 * * [simplify]: Extracting #3: cost 269 inf + 4 10.077 * * [simplify]: Extracting #4: cost 292 inf + 99 10.079 * * [simplify]: Extracting #5: cost 275 inf + 1794 10.082 * * [simplify]: Extracting #6: cost 198 inf + 15073 10.092 * * [simplify]: Extracting #7: cost 85 inf + 83281 10.114 * * [simplify]: Extracting #8: cost 12 inf + 138789 10.141 * * [simplify]: Extracting #9: cost 2 inf + 147165 10.163 * * [simplify]: Extracting #10: cost 0 inf + 149137 10.193 * [simplify]: Simplified to (exp (pow (* (* PI 2) n) (/ (- 1 k) 2))) 10.193 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (log (exp (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt k))) 10.193 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 10.194 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 10.194 * * [simplify]: iters left: 6 (12 enodes) 10.201 * * [simplify]: iters left: 5 (51 enodes) 10.219 * * [simplify]: iters left: 4 (84 enodes) 10.245 * * [simplify]: iters left: 3 (127 enodes) 10.287 * * [simplify]: iters left: 2 (212 enodes) 10.338 * * [simplify]: iters left: 1 (389 enodes) 10.484 * * [simplify]: Extracting #0: cost 1 inf + 0 10.484 * * [simplify]: Extracting #1: cost 3 inf + 0 10.484 * * [simplify]: Extracting #2: cost 5 inf + 0 10.484 * * [simplify]: Extracting #3: cost 34 inf + 0 10.484 * * [simplify]: Extracting #4: cost 117 inf + 1 10.485 * * [simplify]: Extracting #5: cost 168 inf + 176 10.486 * * [simplify]: Extracting #6: cost 164 inf + 851 10.489 * * [simplify]: Extracting #7: cost 84 inf + 17972 10.501 * * [simplify]: Extracting #8: cost 22 inf + 49496 10.521 * * [simplify]: Extracting #9: cost 0 inf + 68747 10.543 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 10.544 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k))) 10.544 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 10.544 * * [simplify]: iters left: 6 (11 enodes) 10.550 * * [simplify]: iters left: 5 (48 enodes) 10.559 * * [simplify]: iters left: 4 (77 enodes) 10.572 * * [simplify]: iters left: 3 (120 enodes) 10.611 * * [simplify]: iters left: 2 (218 enodes) 10.665 * * [simplify]: iters left: 1 (392 enodes) 10.807 * * [simplify]: Extracting #0: cost 1 inf + 0 10.807 * * [simplify]: Extracting #1: cost 3 inf + 0 10.807 * * [simplify]: Extracting #2: cost 33 inf + 0 10.807 * * [simplify]: Extracting #3: cost 116 inf + 1 10.808 * * [simplify]: Extracting #4: cost 186 inf + 176 10.809 * * [simplify]: Extracting #5: cost 178 inf + 974 10.811 * * [simplify]: Extracting #6: cost 110 inf + 10321 10.819 * * [simplify]: Extracting #7: cost 37 inf + 43607 10.833 * * [simplify]: Extracting #8: cost 0 inf + 72098 10.866 * * [simplify]: Extracting #9: cost 0 inf + 70260 10.896 * * [simplify]: Extracting #10: cost 0 inf + 69886 10.926 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 10.926 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k))) 10.927 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 10.927 * [simplify]: Simplifying (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 10.927 * * [simplify]: iters left: 6 (12 enodes) 10.934 * * [simplify]: iters left: 5 (54 enodes) 10.953 * * [simplify]: iters left: 4 (107 enodes) 10.997 * * [simplify]: iters left: 3 (222 enodes) 11.090 * * [simplify]: iters left: 2 (473 enodes) 11.425 * * [simplify]: Extracting #0: cost 1 inf + 0 11.425 * * [simplify]: Extracting #1: cost 48 inf + 0 11.426 * * [simplify]: Extracting #2: cost 137 inf + 3 11.427 * * [simplify]: Extracting #3: cost 189 inf + 5 11.429 * * [simplify]: Extracting #4: cost 190 inf + 930 11.438 * * [simplify]: Extracting #5: cost 117 inf + 25147 11.465 * * [simplify]: Extracting #6: cost 39 inf + 85008 11.500 * * [simplify]: Extracting #7: cost 0 inf + 119923 11.534 * * [simplify]: Extracting #8: cost 0 inf + 116409 11.555 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3) 11.555 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3)) (sqrt k))) 11.555 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 11.555 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 11.555 * * [simplify]: iters left: 6 (11 enodes) 11.559 * * [simplify]: iters left: 5 (48 enodes) 11.567 * * [simplify]: iters left: 4 (78 enodes) 11.581 * * [simplify]: iters left: 3 (122 enodes) 11.615 * * [simplify]: iters left: 2 (223 enodes) 11.697 * * [simplify]: iters left: 1 (408 enodes) 11.911 * * [simplify]: Extracting #0: cost 1 inf + 0 11.912 * * [simplify]: Extracting #1: cost 4 inf + 0 11.912 * * [simplify]: Extracting #2: cost 37 inf + 0 11.912 * * [simplify]: Extracting #3: cost 135 inf + 1 11.913 * * [simplify]: Extracting #4: cost 179 inf + 220 11.914 * * [simplify]: Extracting #5: cost 164 inf + 2131 11.917 * * [simplify]: Extracting #6: cost 85 inf + 15047 11.928 * * [simplify]: Extracting #7: cost 22 inf + 54880 11.952 * * [simplify]: Extracting #8: cost 0 inf + 75621 11.976 * * [simplify]: Extracting #9: cost 0 inf + 75008 11.995 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 11.996 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k))) 11.996 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 11.996 * * [simplify]: iters left: 6 (11 enodes) 12.002 * * [simplify]: iters left: 5 (48 enodes) 12.010 * * [simplify]: iters left: 4 (78 enodes) 12.025 * * [simplify]: iters left: 3 (122 enodes) 12.057 * * [simplify]: iters left: 2 (223 enodes) 12.124 * * [simplify]: iters left: 1 (408 enodes) 12.305 * * [simplify]: Extracting #0: cost 1 inf + 0 12.305 * * [simplify]: Extracting #1: cost 4 inf + 0 12.305 * * [simplify]: Extracting #2: cost 37 inf + 0 12.306 * * [simplify]: Extracting #3: cost 135 inf + 1 12.307 * * [simplify]: Extracting #4: cost 179 inf + 220 12.309 * * [simplify]: Extracting #5: cost 164 inf + 2131 12.315 * * [simplify]: Extracting #6: cost 85 inf + 15047 12.331 * * [simplify]: Extracting #7: cost 22 inf + 54880 12.351 * * [simplify]: Extracting #8: cost 0 inf + 75621 12.363 * * [simplify]: Extracting #9: cost 0 inf + 75008 12.376 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 12.376 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k))) 12.376 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 12.376 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 12.376 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 12.376 * * [simplify]: iters left: 6 (11 enodes) 12.380 * * [simplify]: iters left: 5 (51 enodes) 12.389 * * [simplify]: iters left: 4 (87 enodes) 12.417 * * [simplify]: iters left: 3 (146 enodes) 12.446 * * [simplify]: iters left: 2 (263 enodes) 12.501 * * [simplify]: iters left: 1 (485 enodes) 12.757 * * [simplify]: Extracting #0: cost 1 inf + 0 12.757 * * [simplify]: Extracting #1: cost 27 inf + 0 12.758 * * [simplify]: Extracting #2: cost 109 inf + 1 12.760 * * [simplify]: Extracting #3: cost 198 inf + 178 12.762 * * [simplify]: Extracting #4: cost 189 inf + 1807 12.769 * * [simplify]: Extracting #5: cost 91 inf + 13674 12.784 * * [simplify]: Extracting #6: cost 24 inf + 43528 12.811 * * [simplify]: Extracting #7: cost 0 inf + 64461 12.830 * * [simplify]: Extracting #8: cost 0 inf + 64381 12.841 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 12.841 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 12.841 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 12.841 * * [simplify]: iters left: 6 (11 enodes) 12.845 * * [simplify]: iters left: 5 (51 enodes) 12.855 * * [simplify]: iters left: 4 (87 enodes) 12.879 * * [simplify]: iters left: 3 (146 enodes) 12.915 * * [simplify]: iters left: 2 (263 enodes) 13.016 * * [simplify]: iters left: 1 (485 enodes) 13.255 * * [simplify]: Extracting #0: cost 1 inf + 0 13.255 * * [simplify]: Extracting #1: cost 27 inf + 0 13.255 * * [simplify]: Extracting #2: cost 109 inf + 1 13.257 * * [simplify]: Extracting #3: cost 198 inf + 178 13.259 * * [simplify]: Extracting #4: cost 189 inf + 1807 13.266 * * [simplify]: Extracting #5: cost 91 inf + 13674 13.281 * * [simplify]: Extracting #6: cost 24 inf + 43528 13.303 * * [simplify]: Extracting #7: cost 0 inf + 64461 13.326 * * [simplify]: Extracting #8: cost 0 inf + 64381 13.348 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 13.348 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) (sqrt k))) 13.348 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 13.349 * [simplify]: Simplifying (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 13.349 * * [simplify]: iters left: 6 (11 enodes) 13.355 * * [simplify]: iters left: 5 (45 enodes) 13.374 * * [simplify]: iters left: 4 (74 enodes) 13.396 * * [simplify]: iters left: 3 (118 enodes) 13.419 * * [simplify]: iters left: 2 (216 enodes) 13.474 * * [simplify]: iters left: 1 (387 enodes) 13.626 * * [simplify]: Extracting #0: cost 1 inf + 0 13.626 * * [simplify]: Extracting #1: cost 2 inf + 0 13.626 * * [simplify]: Extracting #2: cost 29 inf + 0 13.627 * * [simplify]: Extracting #3: cost 109 inf + 1 13.628 * * [simplify]: Extracting #4: cost 168 inf + 218 13.630 * * [simplify]: Extracting #5: cost 167 inf + 602 13.634 * * [simplify]: Extracting #6: cost 91 inf + 10560 13.646 * * [simplify]: Extracting #7: cost 41 inf + 32686 13.670 * * [simplify]: Extracting #8: cost 0 inf + 64601 13.681 * * [simplify]: Extracting #9: cost 0 inf + 64241 13.691 * [simplify]: Simplified to (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) 13.692 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt k))) 13.692 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 13.692 * [simplify]: Simplifying (* n (* 2 PI)) 13.692 * * [simplify]: iters left: 4 (5 enodes) 13.694 * * [simplify]: iters left: 3 (19 enodes) 13.697 * * [simplify]: iters left: 2 (27 enodes) 13.701 * * [simplify]: iters left: 1 (32 enodes) 13.706 * * [simplify]: Extracting #0: cost 1 inf + 0 13.707 * * [simplify]: Extracting #1: cost 8 inf + 0 13.707 * * [simplify]: Extracting #2: cost 7 inf + 45 13.707 * * [simplify]: Extracting #3: cost 0 inf + 421 13.707 * [simplify]: Simplified to (* (* PI 2) n) 13.707 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 13.707 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 13.708 * [simplify]: Simplifying (* n (* 2 PI)) 13.708 * * [simplify]: iters left: 4 (5 enodes) 13.710 * * [simplify]: iters left: 3 (19 enodes) 13.716 * * [simplify]: iters left: 2 (27 enodes) 13.724 * * [simplify]: iters left: 1 (32 enodes) 13.731 * * [simplify]: Extracting #0: cost 1 inf + 0 13.731 * * [simplify]: Extracting #1: cost 8 inf + 0 13.731 * * [simplify]: Extracting #2: cost 7 inf + 45 13.732 * * [simplify]: Extracting #3: cost 0 inf + 421 13.732 * [simplify]: Simplified to (* (* PI 2) n) 13.732 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 13.732 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 13.732 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 13.732 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 13.732 * * [simplify]: iters left: 5 (8 enodes) 13.734 * * [simplify]: iters left: 4 (28 enodes) 13.738 * * [simplify]: iters left: 3 (36 enodes) 13.744 * * [simplify]: iters left: 2 (42 enodes) 13.749 * * [simplify]: Extracting #0: cost 1 inf + 0 13.749 * * [simplify]: Extracting #1: cost 8 inf + 0 13.749 * * [simplify]: Extracting #2: cost 17 inf + 0 13.749 * * [simplify]: Extracting #3: cost 12 inf + 145 13.750 * * [simplify]: Extracting #4: cost 5 inf + 1197 13.750 * * [simplify]: Extracting #5: cost 1 inf + 1925 13.750 * * [simplify]: Extracting #6: cost 0 inf + 2107 13.750 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 13.750 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 13.751 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 13.751 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 13.751 * * [simplify]: iters left: 5 (7 enodes) 13.753 * * [simplify]: iters left: 4 (26 enodes) 13.758 * * [simplify]: iters left: 3 (35 enodes) 13.764 * * [simplify]: iters left: 2 (44 enodes) 13.776 * * [simplify]: Extracting #0: cost 1 inf + 0 13.776 * * [simplify]: Extracting #1: cost 8 inf + 0 13.776 * * [simplify]: Extracting #2: cost 18 inf + 0 13.776 * * [simplify]: Extracting #3: cost 15 inf + 74 13.776 * * [simplify]: Extracting #4: cost 8 inf + 554 13.777 * * [simplify]: Extracting #5: cost 0 inf + 1911 13.778 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 13.778 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 13.778 * * * * [progress]: [ 46 / 127 ] simplifiying candidate # 13.778 * [simplify]: Simplifying (log (* n (* 2 PI))) 13.778 * * [simplify]: iters left: 5 (6 enodes) 13.781 * * [simplify]: iters left: 4 (25 enodes) 13.789 * * [simplify]: iters left: 3 (44 enodes) 13.802 * * [simplify]: iters left: 2 (62 enodes) 13.817 * * [simplify]: iters left: 1 (70 enodes) 13.829 * * [simplify]: Extracting #0: cost 1 inf + 0 13.829 * * [simplify]: Extracting #1: cost 9 inf + 0 13.829 * * [simplify]: Extracting #2: cost 22 inf + 0 13.829 * * [simplify]: Extracting #3: cost 19 inf + 228 13.829 * * [simplify]: Extracting #4: cost 6 inf + 1211 13.829 * * [simplify]: Extracting #5: cost 1 inf + 1713 13.830 * * [simplify]: Extracting #6: cost 0 inf + 1825 13.830 * [simplify]: Simplified to (log (* (* PI 2) n)) 13.830 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (log (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 13.830 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 13.831 * [simplify]: Simplifying (exp (* n (* 2 PI))) 13.831 * * [simplify]: iters left: 5 (6 enodes) 13.832 * * [simplify]: iters left: 4 (24 enodes) 13.836 * * [simplify]: iters left: 3 (41 enodes) 13.844 * * [simplify]: iters left: 2 (77 enodes) 13.861 * * [simplify]: iters left: 1 (133 enodes) 13.895 * * [simplify]: Extracting #0: cost 1 inf + 0 13.895 * * [simplify]: Extracting #1: cost 35 inf + 0 13.895 * * [simplify]: Extracting #2: cost 76 inf + 902 13.896 * * [simplify]: Extracting #3: cost 70 inf + 5088 13.897 * * [simplify]: Extracting #4: cost 26 inf + 14704 13.899 * * [simplify]: Extracting #5: cost 3 inf + 20923 13.901 * * [simplify]: Extracting #6: cost 0 inf + 21902 13.904 * [simplify]: Simplified to (* (exp (* n PI)) (exp (* n PI))) 13.904 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (log (* (exp (* n PI)) (exp (* n PI)))) (/ (- 1 k) 2)) (sqrt k))) 13.904 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 13.904 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 13.904 * * [simplify]: iters left: 6 (11 enodes) 13.908 * * [simplify]: iters left: 5 (48 enodes) 13.918 * * [simplify]: iters left: 4 (121 enodes) 13.970 * * [simplify]: iters left: 3 (348 enodes) 14.175 * * [simplify]: Extracting #0: cost 1 inf + 0 14.175 * * [simplify]: Extracting #1: cost 67 inf + 0 14.177 * * [simplify]: Extracting #2: cost 165 inf + 786 14.183 * * [simplify]: Extracting #3: cost 81 inf + 10746 14.199 * * [simplify]: Extracting #4: cost 9 inf + 26018 14.207 * * [simplify]: Extracting #5: cost 0 inf + 28546 14.214 * * [simplify]: Extracting #6: cost 0 inf + 28506 14.220 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 14.220 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 14.221 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 14.221 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 14.221 * * [simplify]: iters left: 6 (9 enodes) 14.224 * * [simplify]: iters left: 5 (45 enodes) 14.234 * * [simplify]: iters left: 4 (117 enodes) 14.277 * * [simplify]: iters left: 3 (377 enodes) 14.580 * * [simplify]: Extracting #0: cost 1 inf + 0 14.580 * * [simplify]: Extracting #1: cost 79 inf + 0 14.582 * * [simplify]: Extracting #2: cost 191 inf + 659 14.590 * * [simplify]: Extracting #3: cost 100 inf + 13238 14.601 * * [simplify]: Extracting #4: cost 6 inf + 31685 14.610 * * [simplify]: Extracting #5: cost 0 inf + 32539 14.620 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 14.620 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (- 1 k) 2)) (sqrt k))) 14.620 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 14.620 * [simplify]: Simplifying (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) 14.620 * * [simplify]: iters left: 6 (7 enodes) 14.622 * * [simplify]: iters left: 5 (25 enodes) 14.626 * * [simplify]: iters left: 4 (33 enodes) 14.636 * * [simplify]: iters left: 3 (39 enodes) 14.644 * * [simplify]: Extracting #0: cost 1 inf + 0 14.644 * * [simplify]: Extracting #1: cost 3 inf + 0 14.644 * * [simplify]: Extracting #2: cost 5 inf + 0 14.644 * * [simplify]: Extracting #3: cost 12 inf + 0 14.644 * * [simplify]: Extracting #4: cost 11 inf + 45 14.644 * * [simplify]: Extracting #5: cost 5 inf + 500 14.645 * * [simplify]: Extracting #6: cost 1 inf + 950 14.645 * * [simplify]: Extracting #7: cost 0 inf + 1153 14.645 * [simplify]: Simplified to (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) 14.645 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 14.645 * [simplify]: Simplifying (cbrt (* n (* 2 PI))) 14.645 * * [simplify]: iters left: 5 (6 enodes) 14.647 * * [simplify]: iters left: 4 (22 enodes) 14.650 * * [simplify]: iters left: 3 (30 enodes) 14.658 * * [simplify]: iters left: 2 (35 enodes) 14.662 * * [simplify]: Extracting #0: cost 1 inf + 0 14.662 * * [simplify]: Extracting #1: cost 3 inf + 0 14.662 * * [simplify]: Extracting #2: cost 10 inf + 0 14.662 * * [simplify]: Extracting #3: cost 10 inf + 3 14.662 * * [simplify]: Extracting #4: cost 6 inf + 171 14.662 * * [simplify]: Extracting #5: cost 1 inf + 584 14.663 * * [simplify]: Extracting #6: cost 0 inf + 747 14.663 * [simplify]: Simplified to (cbrt (* (* PI 2) n)) 14.663 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 14.663 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 14.663 * [simplify]: Simplifying (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI))) 14.663 * * [simplify]: iters left: 6 (7 enodes) 14.665 * * [simplify]: iters left: 5 (35 enodes) 14.676 * * [simplify]: iters left: 4 (120 enodes) 14.757 * * [simplify]: iters left: 3 (434 enodes) 15.216 * * [simplify]: Extracting #0: cost 1 inf + 0 15.217 * * [simplify]: Extracting #1: cost 75 inf + 0 15.218 * * [simplify]: Extracting #2: cost 190 inf + 661 15.222 * * [simplify]: Extracting #3: cost 73 inf + 17047 15.232 * * [simplify]: Extracting #4: cost 3 inf + 27583 15.244 * * [simplify]: Extracting #5: cost 0 inf + 27781 15.258 * * [simplify]: Extracting #6: cost 0 inf + 27740 15.277 * [simplify]: Simplified to (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n))) 15.277 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))) (/ (- 1 k) 2)) (sqrt k))) 15.277 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 15.277 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 15.278 * * [simplify]: iters left: 5 (6 enodes) 15.281 * * [simplify]: iters left: 4 (22 enodes) 15.287 * * [simplify]: iters left: 3 (30 enodes) 15.296 * * [simplify]: iters left: 2 (35 enodes) 15.305 * * [simplify]: Extracting #0: cost 1 inf + 0 15.305 * * [simplify]: Extracting #1: cost 3 inf + 0 15.305 * * [simplify]: Extracting #2: cost 10 inf + 0 15.306 * * [simplify]: Extracting #3: cost 10 inf + 3 15.306 * * [simplify]: Extracting #4: cost 6 inf + 171 15.306 * * [simplify]: Extracting #5: cost 1 inf + 544 15.306 * * [simplify]: Extracting #6: cost 0 inf + 667 15.307 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 15.307 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt (* (* PI 2) n)) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 15.307 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 15.308 * * [simplify]: iters left: 5 (6 enodes) 15.311 * * [simplify]: iters left: 4 (22 enodes) 15.318 * * [simplify]: iters left: 3 (30 enodes) 15.327 * * [simplify]: iters left: 2 (35 enodes) 15.336 * * [simplify]: Extracting #0: cost 1 inf + 0 15.336 * * [simplify]: Extracting #1: cost 3 inf + 0 15.336 * * [simplify]: Extracting #2: cost 10 inf + 0 15.336 * * [simplify]: Extracting #3: cost 10 inf + 3 15.336 * * [simplify]: Extracting #4: cost 6 inf + 171 15.337 * * [simplify]: Extracting #5: cost 1 inf + 544 15.337 * * [simplify]: Extracting #6: cost 0 inf + 667 15.337 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 15.337 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 15.338 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 15.338 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 15.338 * [simplify]: Simplifying (* n 2) 15.338 * * [simplify]: iters left: 2 (3 enodes) 15.340 * * [simplify]: iters left: 1 (10 enodes) 15.343 * * [simplify]: Extracting #0: cost 1 inf + 0 15.343 * * [simplify]: Extracting #1: cost 4 inf + 0 15.343 * * [simplify]: Extracting #2: cost 2 inf + 2 15.343 * * [simplify]: Extracting #3: cost 0 inf + 86 15.343 * [simplify]: Simplified to (* n 2) 15.344 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) 15.344 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 15.344 * [simplify]: Simplifying (* (cbrt n) (* 2 PI)) 15.344 * * [simplify]: iters left: 4 (6 enodes) 15.347 * * [simplify]: iters left: 3 (22 enodes) 15.354 * * [simplify]: iters left: 2 (30 enodes) 15.363 * * [simplify]: iters left: 1 (35 enodes) 15.372 * * [simplify]: Extracting #0: cost 1 inf + 0 15.372 * * [simplify]: Extracting #1: cost 8 inf + 0 15.372 * * [simplify]: Extracting #2: cost 10 inf + 44 15.373 * * [simplify]: Extracting #3: cost 8 inf + 87 15.374 * * [simplify]: Extracting #4: cost 5 inf + 453 15.375 * * [simplify]: Extracting #5: cost 0 inf + 1063 15.375 * [simplify]: Simplified to (* (cbrt n) (* 2 PI)) 15.375 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 15.375 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 15.376 * [simplify]: Simplifying (* (sqrt n) (* 2 PI)) 15.376 * * [simplify]: iters left: 4 (6 enodes) 15.379 * * [simplify]: iters left: 3 (22 enodes) 15.386 * * [simplify]: iters left: 2 (30 enodes) 15.394 * * [simplify]: iters left: 1 (35 enodes) 15.403 * * [simplify]: Extracting #0: cost 1 inf + 0 15.403 * * [simplify]: Extracting #1: cost 8 inf + 0 15.403 * * [simplify]: Extracting #2: cost 10 inf + 44 15.404 * * [simplify]: Extracting #3: cost 8 inf + 87 15.404 * * [simplify]: Extracting #4: cost 5 inf + 333 15.404 * * [simplify]: Extracting #5: cost 0 inf + 743 15.405 * [simplify]: Simplified to (* (sqrt n) (* 2 PI)) 15.405 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 15.405 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 15.405 * [simplify]: Simplifying (* n (* 2 PI)) 15.405 * * [simplify]: iters left: 4 (5 enodes) 15.408 * * [simplify]: iters left: 3 (19 enodes) 15.414 * * [simplify]: iters left: 2 (27 enodes) 15.422 * * [simplify]: iters left: 1 (32 enodes) 15.430 * * [simplify]: Extracting #0: cost 1 inf + 0 15.430 * * [simplify]: Extracting #1: cost 8 inf + 0 15.430 * * [simplify]: Extracting #2: cost 7 inf + 45 15.430 * * [simplify]: Extracting #3: cost 0 inf + 421 15.430 * [simplify]: Simplified to (* (* PI 2) n) 15.430 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* 1 (* (* PI 2) n)) (/ (- 1 k) 2)) (sqrt k))) 15.431 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 15.431 * [simplify]: Simplifying (real->posit16 (* n (* 2 PI))) 15.431 * * [simplify]: iters left: 5 (6 enodes) 15.434 * * [simplify]: iters left: 4 (19 enodes) 15.440 * * [simplify]: iters left: 3 (27 enodes) 15.445 * * [simplify]: iters left: 2 (32 enodes) 15.449 * * [simplify]: Extracting #0: cost 1 inf + 0 15.449 * * [simplify]: Extracting #1: cost 2 inf + 0 15.449 * * [simplify]: Extracting #2: cost 8 inf + 0 15.449 * * [simplify]: Extracting #3: cost 7 inf + 45 15.449 * * [simplify]: Extracting #4: cost 1 inf + 379 15.450 * * [simplify]: Extracting #5: cost 0 inf + 421 15.450 * [simplify]: Simplified to (real->posit16 (* (* PI 2) n)) 15.450 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 15.450 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 15.450 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 15.450 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 15.450 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 15.450 * * [simplify]: iters left: 6 (16 enodes) 15.455 * * [simplify]: iters left: 5 (65 enodes) 15.466 * * [simplify]: iters left: 4 (111 enodes) 15.497 * * [simplify]: iters left: 3 (296 enodes) 15.589 * * [simplify]: Extracting #0: cost 1 inf + 0 15.590 * * [simplify]: Extracting #1: cost 32 inf + 0 15.590 * * [simplify]: Extracting #2: cost 108 inf + 0 15.591 * * [simplify]: Extracting #3: cost 172 inf + 73 15.593 * * [simplify]: Extracting #4: cost 179 inf + 2941 15.599 * * [simplify]: Extracting #5: cost 95 inf + 23235 15.617 * * [simplify]: Extracting #6: cost 3 inf + 51307 15.636 * * [simplify]: Extracting #7: cost 0 inf + 52368 15.655 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 15.655 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))))) 15.655 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 15.655 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 15.656 * * [simplify]: iters left: 6 (15 enodes) 15.664 * * [simplify]: iters left: 5 (63 enodes) 15.685 * * [simplify]: iters left: 4 (104 enodes) 15.726 * * [simplify]: iters left: 3 (240 enodes) 15.848 * * [simplify]: Extracting #0: cost 1 inf + 0 15.848 * * [simplify]: Extracting #1: cost 30 inf + 0 15.849 * * [simplify]: Extracting #2: cost 106 inf + 0 15.849 * * [simplify]: Extracting #3: cost 161 inf + 2 15.851 * * [simplify]: Extracting #4: cost 173 inf + 1531 15.856 * * [simplify]: Extracting #5: cost 96 inf + 16220 15.870 * * [simplify]: Extracting #6: cost 6 inf + 42334 15.886 * * [simplify]: Extracting #7: cost 0 inf + 44847 15.902 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 15.902 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 15.903 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 15.903 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 15.903 * * [simplify]: iters left: 6 (14 enodes) 15.907 * * [simplify]: iters left: 5 (62 enodes) 15.918 * * [simplify]: iters left: 4 (111 enodes) 15.944 * * [simplify]: iters left: 3 (225 enodes) 16.012 * * [simplify]: Extracting #0: cost 1 inf + 0 16.012 * * [simplify]: Extracting #1: cost 19 inf + 0 16.013 * * [simplify]: Extracting #2: cost 91 inf + 0 16.013 * * [simplify]: Extracting #3: cost 148 inf + 2 16.015 * * [simplify]: Extracting #4: cost 170 inf + 926 16.019 * * [simplify]: Extracting #5: cost 92 inf + 14002 16.035 * * [simplify]: Extracting #6: cost 8 inf + 33133 16.042 * * [simplify]: Extracting #7: cost 0 inf + 35824 16.049 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 16.049 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 16.049 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 16.049 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 16.049 * * [simplify]: iters left: 6 (14 enodes) 16.054 * * [simplify]: iters left: 5 (62 enodes) 16.065 * * [simplify]: iters left: 4 (111 enodes) 16.102 * * [simplify]: iters left: 3 (225 enodes) 16.183 * * [simplify]: Extracting #0: cost 1 inf + 0 16.183 * * [simplify]: Extracting #1: cost 19 inf + 0 16.183 * * [simplify]: Extracting #2: cost 91 inf + 0 16.184 * * [simplify]: Extracting #3: cost 148 inf + 2 16.186 * * [simplify]: Extracting #4: cost 170 inf + 926 16.190 * * [simplify]: Extracting #5: cost 92 inf + 14002 16.203 * * [simplify]: Extracting #6: cost 8 inf + 33133 16.216 * * [simplify]: Extracting #7: cost 0 inf + 35824 16.230 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 16.230 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 16.230 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 16.230 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 16.231 * * [simplify]: iters left: 6 (14 enodes) 16.238 * * [simplify]: iters left: 5 (61 enodes) 16.262 * * [simplify]: iters left: 4 (111 enodes) 16.282 * * [simplify]: iters left: 3 (220 enodes) 16.333 * * [simplify]: Extracting #0: cost 1 inf + 0 16.333 * * [simplify]: Extracting #1: cost 20 inf + 0 16.334 * * [simplify]: Extracting #2: cost 114 inf + 0 16.335 * * [simplify]: Extracting #3: cost 189 inf + 2 16.337 * * [simplify]: Extracting #4: cost 150 inf + 9376 16.351 * * [simplify]: Extracting #5: cost 38 inf + 34918 16.358 * * [simplify]: Extracting #6: cost 1 inf + 44171 16.366 * * [simplify]: Extracting #7: cost 0 inf + 44417 16.373 * [simplify]: Simplified to (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))) 16.373 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))))) 16.373 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 16.373 * [simplify]: Simplifying (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 16.373 * * [simplify]: iters left: 6 (13 enodes) 16.377 * * [simplify]: iters left: 5 (57 enodes) 16.388 * * [simplify]: iters left: 4 (102 enodes) 16.406 * * [simplify]: iters left: 3 (184 enodes) 16.458 * * [simplify]: iters left: 2 (450 enodes) 16.727 * * [simplify]: Extracting #0: cost 1 inf + 0 16.727 * * [simplify]: Extracting #1: cost 109 inf + 0 16.729 * * [simplify]: Extracting #2: cost 469 inf + 0 16.733 * * [simplify]: Extracting #3: cost 619 inf + 186 16.741 * * [simplify]: Extracting #4: cost 517 inf + 22917 16.777 * * [simplify]: Extracting #5: cost 145 inf + 128208 16.836 * * [simplify]: Extracting #6: cost 10 inf + 187610 16.873 * * [simplify]: Extracting #7: cost 0 inf + 191974 16.932 * * [simplify]: Extracting #8: cost 0 inf + 191694 16.997 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 16.997 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 16.997 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 16.998 * [simplify]: Simplifying (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 16.998 * * [simplify]: iters left: 6 (13 enodes) 17.006 * * [simplify]: iters left: 5 (54 enodes) 17.025 * * [simplify]: iters left: 4 (89 enodes) 17.047 * * [simplify]: iters left: 3 (138 enodes) 17.072 * * [simplify]: iters left: 2 (237 enodes) 17.124 * * [simplify]: iters left: 1 (481 enodes) 17.290 * * [simplify]: Extracting #0: cost 1 inf + 0 17.290 * * [simplify]: Extracting #1: cost 21 inf + 0 17.290 * * [simplify]: Extracting #2: cost 110 inf + 0 17.291 * * [simplify]: Extracting #3: cost 225 inf + 3 17.292 * * [simplify]: Extracting #4: cost 242 inf + 3531 17.300 * * [simplify]: Extracting #5: cost 163 inf + 33698 17.316 * * [simplify]: Extracting #6: cost 27 inf + 126791 17.335 * * [simplify]: Extracting #7: cost 0 inf + 150809 17.367 * * [simplify]: Extracting #8: cost 0 inf + 150770 17.405 * [simplify]: Simplified to (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 17.405 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 17.405 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 17.406 * [simplify]: Simplifying (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 17.406 * * [simplify]: iters left: 6 (16 enodes) 17.417 * * [simplify]: iters left: 5 (72 enodes) 17.442 * * [simplify]: iters left: 4 (165 enodes) 17.521 * * [simplify]: iters left: 3 (476 enodes) 17.756 * * [simplify]: Extracting #0: cost 1 inf + 0 17.757 * * [simplify]: Extracting #1: cost 170 inf + 0 17.760 * * [simplify]: Extracting #2: cost 447 inf + 1 17.765 * * [simplify]: Extracting #3: cost 501 inf + 248 17.769 * * [simplify]: Extracting #4: cost 486 inf + 1747 17.784 * * [simplify]: Extracting #5: cost 353 inf + 70193 17.822 * * [simplify]: Extracting #6: cost 59 inf + 284550 17.896 * * [simplify]: Extracting #7: cost 0 inf + 323820 17.983 * * [simplify]: Extracting #8: cost 0 inf + 320986 18.073 * [simplify]: Simplified to (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 18.073 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 18.073 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 18.073 * [simplify]: Simplifying (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 18.073 * * [simplify]: iters left: 6 (14 enodes) 18.078 * * [simplify]: iters left: 5 (57 enodes) 18.088 * * [simplify]: iters left: 4 (92 enodes) 18.110 * * [simplify]: iters left: 3 (137 enodes) 18.135 * * [simplify]: iters left: 2 (233 enodes) 18.219 * * [simplify]: iters left: 1 (473 enodes) 18.415 * * [simplify]: Extracting #0: cost 1 inf + 0 18.415 * * [simplify]: Extracting #1: cost 3 inf + 0 18.415 * * [simplify]: Extracting #2: cost 5 inf + 0 18.416 * * [simplify]: Extracting #3: cost 52 inf + 0 18.416 * * [simplify]: Extracting #4: cost 157 inf + 0 18.418 * * [simplify]: Extracting #5: cost 222 inf + 4 18.421 * * [simplify]: Extracting #6: cost 212 inf + 4809 18.428 * * [simplify]: Extracting #7: cost 142 inf + 22911 18.454 * * [simplify]: Extracting #8: cost 26 inf + 106678 18.491 * * [simplify]: Extracting #9: cost 0 inf + 131126 18.527 * [simplify]: Simplified to (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 18.527 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 18.528 * [simplify]: Simplifying (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 18.528 * * [simplify]: iters left: 6 (13 enodes) 18.539 * * [simplify]: iters left: 5 (54 enodes) 18.555 * * [simplify]: iters left: 4 (89 enodes) 18.569 * * [simplify]: iters left: 3 (138 enodes) 18.602 * * [simplify]: iters left: 2 (235 enodes) 18.696 * * [simplify]: iters left: 1 (482 enodes) 19.002 * * [simplify]: Extracting #0: cost 1 inf + 0 19.002 * * [simplify]: Extracting #1: cost 3 inf + 0 19.002 * * [simplify]: Extracting #2: cost 49 inf + 0 19.003 * * [simplify]: Extracting #3: cost 152 inf + 0 19.005 * * [simplify]: Extracting #4: cost 234 inf + 4 19.007 * * [simplify]: Extracting #5: cost 232 inf + 1625 19.015 * * [simplify]: Extracting #6: cost 148 inf + 20230 19.044 * * [simplify]: Extracting #7: cost 50 inf + 81662 19.072 * * [simplify]: Extracting #8: cost 0 inf + 126384 19.092 * * [simplify]: Extracting #9: cost 0 inf + 125685 19.130 * [simplify]: Simplified to (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) 19.130 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))) 19.130 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 19.130 * [simplify]: Simplifying (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 19.131 * * [simplify]: iters left: 6 (14 enodes) 19.139 * * [simplify]: iters left: 5 (64 enodes) 19.161 * * [simplify]: iters left: 4 (132 enodes) 19.212 * * [simplify]: iters left: 3 (278 enodes) 19.359 * * [simplify]: Extracting #0: cost 1 inf + 0 19.359 * * [simplify]: Extracting #1: cost 66 inf + 0 19.360 * * [simplify]: Extracting #2: cost 189 inf + 2 19.361 * * [simplify]: Extracting #3: cost 237 inf + 337 19.363 * * [simplify]: Extracting #4: cost 208 inf + 10995 19.371 * * [simplify]: Extracting #5: cost 90 inf + 72589 19.393 * * [simplify]: Extracting #6: cost 4 inf + 141494 19.413 * * [simplify]: Extracting #7: cost 0 inf + 144172 19.442 * * [simplify]: Extracting #8: cost 0 inf + 144055 19.480 * [simplify]: Simplified to (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 19.480 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2))))))) 19.480 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 19.481 * [simplify]: Simplifying (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 19.481 * * [simplify]: iters left: 6 (13 enodes) 19.489 * * [simplify]: iters left: 5 (54 enodes) 19.510 * * [simplify]: iters left: 4 (89 enodes) 19.538 * * [simplify]: iters left: 3 (138 enodes) 19.569 * * [simplify]: iters left: 2 (235 enodes) 19.649 * * [simplify]: iters left: 1 (482 enodes) 19.862 * * [simplify]: Extracting #0: cost 1 inf + 0 19.862 * * [simplify]: Extracting #1: cost 3 inf + 0 19.863 * * [simplify]: Extracting #2: cost 49 inf + 0 19.863 * * [simplify]: Extracting #3: cost 152 inf + 0 19.864 * * [simplify]: Extracting #4: cost 234 inf + 4 19.865 * * [simplify]: Extracting #5: cost 232 inf + 1625 19.869 * * [simplify]: Extracting #6: cost 148 inf + 20190 19.896 * * [simplify]: Extracting #7: cost 50 inf + 81582 19.930 * * [simplify]: Extracting #8: cost 0 inf + 126304 19.950 * * [simplify]: Extracting #9: cost 0 inf + 125605 19.976 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) 19.976 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 19.977 * [simplify]: Simplifying (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 19.977 * * [simplify]: iters left: 6 (13 enodes) 19.984 * * [simplify]: iters left: 5 (54 enodes) 20.001 * * [simplify]: iters left: 4 (89 enodes) 20.033 * * [simplify]: iters left: 3 (138 enodes) 20.078 * * [simplify]: iters left: 2 (235 enodes) 20.143 * * [simplify]: iters left: 1 (482 enodes) 20.348 * * [simplify]: Extracting #0: cost 1 inf + 0 20.348 * * [simplify]: Extracting #1: cost 3 inf + 0 20.348 * * [simplify]: Extracting #2: cost 49 inf + 0 20.349 * * [simplify]: Extracting #3: cost 152 inf + 0 20.350 * * [simplify]: Extracting #4: cost 234 inf + 4 20.352 * * [simplify]: Extracting #5: cost 232 inf + 1625 20.355 * * [simplify]: Extracting #6: cost 148 inf + 20190 20.368 * * [simplify]: Extracting #7: cost 50 inf + 81582 20.410 * * [simplify]: Extracting #8: cost 0 inf + 126304 20.448 * * [simplify]: Extracting #9: cost 0 inf + 125605 20.470 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) 20.471 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))) 20.471 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 20.471 * [simplify]: Simplifying (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 20.471 * * [simplify]: iters left: 6 (11 enodes) 20.475 * * [simplify]: iters left: 5 (48 enodes) 20.491 * * [simplify]: iters left: 4 (80 enodes) 20.516 * * [simplify]: iters left: 3 (132 enodes) 20.568 * * [simplify]: iters left: 2 (259 enodes) 20.632 * * [simplify]: Extracting #0: cost 1 inf + 0 20.633 * * [simplify]: Extracting #1: cost 23 inf + 0 20.633 * * [simplify]: Extracting #2: cost 80 inf + 0 20.633 * * [simplify]: Extracting #3: cost 129 inf + 2 20.634 * * [simplify]: Extracting #4: cost 136 inf + 179 20.635 * * [simplify]: Extracting #5: cost 129 inf + 1305 20.636 * * [simplify]: Extracting #6: cost 75 inf + 9015 20.642 * * [simplify]: Extracting #7: cost 44 inf + 21634 20.649 * * [simplify]: Extracting #8: cost 3 inf + 51383 20.657 * * [simplify]: Extracting #9: cost 0 inf + 53874 20.667 * [simplify]: Simplified to (- (pow (* (* PI 2) n) (/ (- 1 k) 2))) 20.667 * [simplify]: Simplified (2 1) to (λ (k n) (/ (- (pow (* (* PI 2) n) (/ (- 1 k) 2))) (- (sqrt k)))) 20.668 * [simplify]: Simplifying (- (sqrt k)) 20.668 * * [simplify]: iters left: 3 (3 enodes) 20.669 * * [simplify]: iters left: 2 (9 enodes) 20.672 * * [simplify]: Extracting #0: cost 1 inf + 0 20.672 * * [simplify]: Extracting #1: cost 3 inf + 0 20.672 * * [simplify]: Extracting #2: cost 5 inf + 0 20.672 * * [simplify]: Extracting #3: cost 4 inf + 1 20.672 * * [simplify]: Extracting #4: cost 0 inf + 245 20.672 * [simplify]: Simplified to (- (sqrt k)) 20.672 * [simplify]: Simplified (2 2) to (λ (k n) (/ (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (sqrt k)))) 20.672 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 20.673 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 20.673 * * [simplify]: iters left: 6 (11 enodes) 20.679 * * [simplify]: iters left: 5 (46 enodes) 20.696 * * [simplify]: iters left: 4 (79 enodes) 20.722 * * [simplify]: iters left: 3 (137 enodes) 20.759 * * [simplify]: iters left: 2 (284 enodes) 20.854 * * [simplify]: Extracting #0: cost 1 inf + 0 20.854 * * [simplify]: Extracting #1: cost 54 inf + 0 20.855 * * [simplify]: Extracting #2: cost 149 inf + 0 20.855 * * [simplify]: Extracting #3: cost 215 inf + 3 20.859 * * [simplify]: Extracting #4: cost 210 inf + 1215 20.861 * * [simplify]: Extracting #5: cost 147 inf + 16368 20.877 * * [simplify]: Extracting #6: cost 35 inf + 84395 20.903 * * [simplify]: Extracting #7: cost 3 inf + 108051 20.918 * * [simplify]: Extracting #8: cost 0 inf + 109590 20.932 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 20.932 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 20.932 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 20.932 * * [simplify]: iters left: 6 (11 enodes) 20.936 * * [simplify]: iters left: 5 (45 enodes) 20.947 * * [simplify]: iters left: 4 (68 enodes) 20.970 * * [simplify]: iters left: 3 (112 enodes) 21.017 * * [simplify]: iters left: 2 (229 enodes) 21.101 * * [simplify]: iters left: 1 (483 enodes) 21.307 * * [simplify]: Extracting #0: cost 1 inf + 0 21.307 * * [simplify]: Extracting #1: cost 52 inf + 0 21.308 * * [simplify]: Extracting #2: cost 155 inf + 0 21.310 * * [simplify]: Extracting #3: cost 249 inf + 3 21.314 * * [simplify]: Extracting #4: cost 232 inf + 9023 21.341 * * [simplify]: Extracting #5: cost 65 inf + 101627 21.381 * * [simplify]: Extracting #6: cost 0 inf + 127979 21.435 * * [simplify]: Extracting #7: cost 0 inf + 115379 21.472 * * [simplify]: Extracting #8: cost 0 inf + 113486 21.527 * * [simplify]: Extracting #9: cost 0 inf + 113406 21.581 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 21.581 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))))) 21.581 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 21.582 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 21.582 * * [simplify]: iters left: 6 (11 enodes) 21.588 * * [simplify]: iters left: 5 (45 enodes) 21.603 * * [simplify]: iters left: 4 (72 enodes) 21.629 * * [simplify]: iters left: 3 (115 enodes) 21.668 * * [simplify]: iters left: 2 (216 enodes) 21.725 * * [simplify]: iters left: 1 (460 enodes) 21.946 * * [simplify]: Extracting #0: cost 1 inf + 0 21.947 * * [simplify]: Extracting #1: cost 44 inf + 0 21.947 * * [simplify]: Extracting #2: cost 144 inf + 0 21.949 * * [simplify]: Extracting #3: cost 221 inf + 4 21.953 * * [simplify]: Extracting #4: cost 197 inf + 7315 21.965 * * [simplify]: Extracting #5: cost 98 inf + 48543 21.990 * * [simplify]: Extracting #6: cost 11 inf + 112282 22.024 * * [simplify]: Extracting #7: cost 0 inf + 118906 22.053 * * [simplify]: Extracting #8: cost 0 inf + 117693 22.083 * * [simplify]: Extracting #9: cost 0 inf + 116981 22.111 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 22.111 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 22.112 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 22.112 * * [simplify]: iters left: 6 (11 enodes) 22.115 * * [simplify]: iters left: 5 (45 enodes) 22.123 * * [simplify]: iters left: 4 (68 enodes) 22.136 * * [simplify]: iters left: 3 (112 enodes) 22.174 * * [simplify]: iters left: 2 (229 enodes) 22.233 * * [simplify]: iters left: 1 (483 enodes) 22.437 * * [simplify]: Extracting #0: cost 1 inf + 0 22.437 * * [simplify]: Extracting #1: cost 52 inf + 0 22.438 * * [simplify]: Extracting #2: cost 155 inf + 0 22.440 * * [simplify]: Extracting #3: cost 249 inf + 3 22.444 * * [simplify]: Extracting #4: cost 232 inf + 9063 22.482 * * [simplify]: Extracting #5: cost 65 inf + 101707 22.529 * * [simplify]: Extracting #6: cost 0 inf + 128059 22.581 * * [simplify]: Extracting #7: cost 0 inf + 115459 22.618 * * [simplify]: Extracting #8: cost 0 inf + 113566 22.664 * * [simplify]: Extracting #9: cost 0 inf + 113486 22.718 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 22.718 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))))) 22.719 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 22.719 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 22.719 * * [simplify]: iters left: 6 (10 enodes) 22.725 * * [simplify]: iters left: 5 (41 enodes) 22.738 * * [simplify]: iters left: 4 (68 enodes) 22.763 * * [simplify]: iters left: 3 (111 enodes) 22.794 * * [simplify]: iters left: 2 (208 enodes) 22.845 * * [simplify]: iters left: 1 (454 enodes) 23.075 * * [simplify]: Extracting #0: cost 1 inf + 0 23.075 * * [simplify]: Extracting #1: cost 44 inf + 0 23.075 * * [simplify]: Extracting #2: cost 150 inf + 0 23.076 * * [simplify]: Extracting #3: cost 229 inf + 4 23.078 * * [simplify]: Extracting #4: cost 227 inf + 1503 23.081 * * [simplify]: Extracting #5: cost 150 inf + 22450 23.101 * * [simplify]: Extracting #6: cost 24 inf + 107797 23.127 * * [simplify]: Extracting #7: cost 0 inf + 122587 23.144 * * [simplify]: Extracting #8: cost 0 inf + 121457 23.172 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 23.172 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 23.172 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 23.173 * * [simplify]: iters left: 6 (11 enodes) 23.179 * * [simplify]: iters left: 5 (45 enodes) 23.193 * * [simplify]: iters left: 4 (68 enodes) 23.215 * * [simplify]: iters left: 3 (112 enodes) 23.251 * * [simplify]: iters left: 2 (229 enodes) 23.301 * * [simplify]: iters left: 1 (483 enodes) 23.491 * * [simplify]: Extracting #0: cost 1 inf + 0 23.491 * * [simplify]: Extracting #1: cost 52 inf + 0 23.492 * * [simplify]: Extracting #2: cost 155 inf + 0 23.494 * * [simplify]: Extracting #3: cost 249 inf + 3 23.498 * * [simplify]: Extracting #4: cost 232 inf + 8863 23.539 * * [simplify]: Extracting #5: cost 65 inf + 99107 23.583 * * [simplify]: Extracting #6: cost 0 inf + 124579 23.641 * * [simplify]: Extracting #7: cost 0 inf + 111979 23.676 * * [simplify]: Extracting #8: cost 0 inf + 110086 23.705 * * [simplify]: Extracting #9: cost 0 inf + 110006 23.750 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 23.750 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 23.751 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 23.751 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 23.751 * * [simplify]: iters left: 6 (9 enodes) 23.757 * * [simplify]: iters left: 5 (38 enodes) 23.771 * * [simplify]: iters left: 4 (63 enodes) 23.791 * * [simplify]: iters left: 3 (104 enodes) 23.818 * * [simplify]: iters left: 2 (197 enodes) 23.862 * * [simplify]: iters left: 1 (427 enodes) 24.133 * * [simplify]: Extracting #0: cost 1 inf + 0 24.133 * * [simplify]: Extracting #1: cost 58 inf + 0 24.137 * * [simplify]: Extracting #2: cost 160 inf + 3 24.138 * * [simplify]: Extracting #3: cost 212 inf + 8 24.139 * * [simplify]: Extracting #4: cost 189 inf + 3421 24.143 * * [simplify]: Extracting #5: cost 94 inf + 28955 24.164 * * [simplify]: Extracting #6: cost 13 inf + 88735 24.194 * * [simplify]: Extracting #7: cost 0 inf + 94184 24.223 * * [simplify]: Extracting #8: cost 0 inf + 91292 24.253 * * [simplify]: Extracting #9: cost 0 inf + 90659 24.273 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 24.273 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 24.274 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 24.274 * * [simplify]: iters left: 6 (10 enodes) 24.278 * * [simplify]: iters left: 5 (42 enodes) 24.286 * * [simplify]: iters left: 4 (65 enodes) 24.302 * * [simplify]: iters left: 3 (106 enodes) 24.342 * * [simplify]: iters left: 2 (218 enodes) 24.401 * * [simplify]: iters left: 1 (463 enodes) 24.650 * * [simplify]: Extracting #0: cost 1 inf + 0 24.651 * * [simplify]: Extracting #1: cost 47 inf + 0 24.651 * * [simplify]: Extracting #2: cost 142 inf + 0 24.652 * * [simplify]: Extracting #3: cost 225 inf + 45 24.653 * * [simplify]: Extracting #4: cost 225 inf + 847 24.656 * * [simplify]: Extracting #5: cost 159 inf + 12032 24.665 * * [simplify]: Extracting #6: cost 48 inf + 76840 24.681 * * [simplify]: Extracting #7: cost 0 inf + 117592 24.716 * * [simplify]: Extracting #8: cost 0 inf + 117021 24.739 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 24.739 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 24.739 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 24.739 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 24.739 * * [simplify]: iters left: 6 (10 enodes) 24.742 * * [simplify]: iters left: 5 (41 enodes) 24.750 * * [simplify]: iters left: 4 (68 enodes) 24.764 * * [simplify]: iters left: 3 (111 enodes) 24.803 * * [simplify]: iters left: 2 (208 enodes) 24.866 * * [simplify]: iters left: 1 (454 enodes) 25.108 * * [simplify]: Extracting #0: cost 1 inf + 0 25.108 * * [simplify]: Extracting #1: cost 44 inf + 0 25.109 * * [simplify]: Extracting #2: cost 150 inf + 0 25.110 * * [simplify]: Extracting #3: cost 229 inf + 4 25.111 * * [simplify]: Extracting #4: cost 227 inf + 1503 25.115 * * [simplify]: Extracting #5: cost 150 inf + 22450 25.132 * * [simplify]: Extracting #6: cost 24 inf + 107797 25.149 * * [simplify]: Extracting #7: cost 0 inf + 122587 25.166 * * [simplify]: Extracting #8: cost 0 inf + 121457 25.183 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 25.183 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 25.184 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 25.184 * * [simplify]: iters left: 6 (11 enodes) 25.187 * * [simplify]: iters left: 5 (45 enodes) 25.195 * * [simplify]: iters left: 4 (68 enodes) 25.211 * * [simplify]: iters left: 3 (112 enodes) 25.256 * * [simplify]: iters left: 2 (229 enodes) 25.322 * * [simplify]: iters left: 1 (483 enodes) 25.543 * * [simplify]: Extracting #0: cost 1 inf + 0 25.543 * * [simplify]: Extracting #1: cost 52 inf + 0 25.544 * * [simplify]: Extracting #2: cost 155 inf + 0 25.544 * * [simplify]: Extracting #3: cost 249 inf + 3 25.546 * * [simplify]: Extracting #4: cost 232 inf + 8863 25.568 * * [simplify]: Extracting #5: cost 65 inf + 99107 25.614 * * [simplify]: Extracting #6: cost 0 inf + 124579 25.647 * * [simplify]: Extracting #7: cost 0 inf + 111979 25.703 * * [simplify]: Extracting #8: cost 0 inf + 110086 25.757 * * [simplify]: Extracting #9: cost 0 inf + 110006 25.811 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 25.812 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 25.812 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 25.812 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 25.812 * * [simplify]: iters left: 6 (8 enodes) 25.817 * * [simplify]: iters left: 5 (33 enodes) 25.829 * * [simplify]: iters left: 4 (56 enodes) 25.850 * * [simplify]: iters left: 3 (104 enodes) 25.891 * * [simplify]: iters left: 2 (223 enodes) 25.973 * * [simplify]: Extracting #0: cost 1 inf + 0 25.973 * * [simplify]: Extracting #1: cost 32 inf + 0 25.973 * * [simplify]: Extracting #2: cost 98 inf + 3 25.973 * * [simplify]: Extracting #3: cost 138 inf + 7 25.974 * * [simplify]: Extracting #4: cost 130 inf + 1348 25.976 * * [simplify]: Extracting #5: cost 55 inf + 20399 25.983 * * [simplify]: Extracting #6: cost 2 inf + 49414 25.996 * * [simplify]: Extracting #7: cost 0 inf + 50164 26.010 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 26.010 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 26.010 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 26.010 * * [simplify]: iters left: 6 (10 enodes) 26.016 * * [simplify]: iters left: 5 (42 enodes) 26.029 * * [simplify]: iters left: 4 (65 enodes) 26.050 * * [simplify]: iters left: 3 (106 enodes) 26.090 * * [simplify]: iters left: 2 (218 enodes) 26.177 * * [simplify]: iters left: 1 (463 enodes) 26.413 * * [simplify]: Extracting #0: cost 1 inf + 0 26.413 * * [simplify]: Extracting #1: cost 47 inf + 0 26.414 * * [simplify]: Extracting #2: cost 142 inf + 0 26.415 * * [simplify]: Extracting #3: cost 225 inf + 45 26.422 * * [simplify]: Extracting #4: cost 225 inf + 847 26.428 * * [simplify]: Extracting #5: cost 159 inf + 12032 26.447 * * [simplify]: Extracting #6: cost 48 inf + 76840 26.476 * * [simplify]: Extracting #7: cost 0 inf + 117592 26.507 * * [simplify]: Extracting #8: cost 0 inf + 117021 26.538 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 26.538 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 26.538 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 26.538 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 26.539 * * [simplify]: iters left: 6 (16 enodes) 26.547 * * [simplify]: iters left: 5 (69 enodes) 26.570 * * [simplify]: iters left: 4 (117 enodes) 26.597 * * [simplify]: iters left: 3 (166 enodes) 26.628 * * [simplify]: iters left: 2 (250 enodes) 26.683 * * [simplify]: iters left: 1 (419 enodes) 26.860 * * [simplify]: Extracting #0: cost 1 inf + 0 26.860 * * [simplify]: Extracting #1: cost 11 inf + 0 26.860 * * [simplify]: Extracting #2: cost 22 inf + 0 26.860 * * [simplify]: Extracting #3: cost 51 inf + 0 26.861 * * [simplify]: Extracting #4: cost 125 inf + 2 26.863 * * [simplify]: Extracting #5: cost 163 inf + 829 26.867 * * [simplify]: Extracting #6: cost 112 inf + 10367 26.880 * * [simplify]: Extracting #7: cost 21 inf + 48157 26.895 * * [simplify]: Extracting #8: cost 1 inf + 61348 26.910 * * [simplify]: Extracting #9: cost 0 inf + 61495 26.930 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 26.930 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 26.930 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 26.930 * * [simplify]: iters left: 6 (14 enodes) 26.935 * * [simplify]: iters left: 5 (57 enodes) 26.944 * * [simplify]: iters left: 4 (90 enodes) 26.959 * * [simplify]: iters left: 3 (129 enodes) 26.983 * * [simplify]: iters left: 2 (209 enodes) 27.034 * * [simplify]: iters left: 1 (388 enodes) 27.174 * * [simplify]: Extracting #0: cost 1 inf + 0 27.174 * * [simplify]: Extracting #1: cost 4 inf + 0 27.174 * * [simplify]: Extracting #2: cost 8 inf + 0 27.174 * * [simplify]: Extracting #3: cost 37 inf + 0 27.175 * * [simplify]: Extracting #4: cost 114 inf + 164 27.175 * * [simplify]: Extracting #5: cost 155 inf + 874 27.178 * * [simplify]: Extracting #6: cost 102 inf + 8027 27.189 * * [simplify]: Extracting #7: cost 43 inf + 35749 27.207 * * [simplify]: Extracting #8: cost 7 inf + 63995 27.228 * * [simplify]: Extracting #9: cost 0 inf + 70197 27.248 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 27.248 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 27.248 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 27.249 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 27.249 * * [simplify]: iters left: 6 (16 enodes) 27.258 * * [simplify]: iters left: 5 (66 enodes) 27.285 * * [simplify]: iters left: 4 (103 enodes) 27.314 * * [simplify]: iters left: 3 (144 enodes) 27.359 * * [simplify]: iters left: 2 (224 enodes) 27.419 * * [simplify]: iters left: 1 (400 enodes) 27.565 * * [simplify]: Extracting #0: cost 1 inf + 0 27.565 * * [simplify]: Extracting #1: cost 7 inf + 0 27.566 * * [simplify]: Extracting #2: cost 15 inf + 0 27.566 * * [simplify]: Extracting #3: cost 46 inf + 0 27.566 * * [simplify]: Extracting #4: cost 118 inf + 204 27.568 * * [simplify]: Extracting #5: cost 157 inf + 990 27.572 * * [simplify]: Extracting #6: cost 109 inf + 10485 27.588 * * [simplify]: Extracting #7: cost 42 inf + 38454 27.612 * * [simplify]: Extracting #8: cost 2 inf + 67871 27.633 * * [simplify]: Extracting #9: cost 0 inf + 66803 27.648 * * [simplify]: Extracting #10: cost 0 inf + 66762 27.659 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 27.659 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 27.659 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 27.659 * * [simplify]: iters left: 6 (14 enodes) 27.663 * * [simplify]: iters left: 5 (57 enodes) 27.673 * * [simplify]: iters left: 4 (90 enodes) 27.696 * * [simplify]: iters left: 3 (129 enodes) 27.719 * * [simplify]: iters left: 2 (209 enodes) 27.787 * * [simplify]: iters left: 1 (388 enodes) 27.963 * * [simplify]: Extracting #0: cost 1 inf + 0 27.963 * * [simplify]: Extracting #1: cost 4 inf + 0 27.963 * * [simplify]: Extracting #2: cost 8 inf + 0 27.964 * * [simplify]: Extracting #3: cost 37 inf + 0 27.964 * * [simplify]: Extracting #4: cost 114 inf + 204 27.966 * * [simplify]: Extracting #5: cost 155 inf + 954 27.970 * * [simplify]: Extracting #6: cost 102 inf + 8107 27.981 * * [simplify]: Extracting #7: cost 43 inf + 35829 28.000 * * [simplify]: Extracting #8: cost 7 inf + 64075 28.020 * * [simplify]: Extracting #9: cost 0 inf + 70277 28.041 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 28.041 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 28.041 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 28.042 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 28.042 * * [simplify]: iters left: 6 (15 enodes) 28.053 * * [simplify]: iters left: 5 (62 enodes) 28.074 * * [simplify]: iters left: 4 (99 enodes) 28.098 * * [simplify]: iters left: 3 (144 enodes) 28.126 * * [simplify]: iters left: 2 (229 enodes) 28.575 * * [simplify]: iters left: 1 (404 enodes) 28.734 * * [simplify]: Extracting #0: cost 1 inf + 0 28.734 * * [simplify]: Extracting #1: cost 7 inf + 0 28.734 * * [simplify]: Extracting #2: cost 14 inf + 0 28.734 * * [simplify]: Extracting #3: cost 44 inf + 0 28.735 * * [simplify]: Extracting #4: cost 122 inf + 43 28.736 * * [simplify]: Extracting #5: cost 161 inf + 1676 28.740 * * [simplify]: Extracting #6: cost 105 inf + 13384 28.750 * * [simplify]: Extracting #7: cost 40 inf + 39339 28.768 * * [simplify]: Extracting #8: cost 2 inf + 71174 28.779 * * [simplify]: Extracting #9: cost 0 inf + 71571 28.790 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 28.790 * [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 k) 2))) (sqrt (sqrt k))))) 28.790 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 28.790 * * [simplify]: iters left: 6 (14 enodes) 28.794 * * [simplify]: iters left: 5 (57 enodes) 28.804 * * [simplify]: iters left: 4 (90 enodes) 28.818 * * [simplify]: iters left: 3 (129 enodes) 28.860 * * [simplify]: iters left: 2 (209 enodes) 28.935 * * [simplify]: iters left: 1 (388 enodes) 29.122 * * [simplify]: Extracting #0: cost 1 inf + 0 29.122 * * [simplify]: Extracting #1: cost 4 inf + 0 29.122 * * [simplify]: Extracting #2: cost 8 inf + 0 29.122 * * [simplify]: Extracting #3: cost 37 inf + 0 29.123 * * [simplify]: Extracting #4: cost 114 inf + 124 29.124 * * [simplify]: Extracting #5: cost 155 inf + 794 29.128 * * [simplify]: Extracting #6: cost 102 inf + 7947 29.140 * * [simplify]: Extracting #7: cost 43 inf + 35589 29.158 * * [simplify]: Extracting #8: cost 7 inf + 63835 29.178 * * [simplify]: Extracting #9: cost 0 inf + 70037 29.202 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 29.202 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 29.202 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 29.203 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 29.203 * * [simplify]: iters left: 6 (14 enodes) 29.210 * * [simplify]: iters left: 5 (59 enodes) 29.220 * * [simplify]: iters left: 4 (96 enodes) 29.235 * * [simplify]: iters left: 3 (138 enodes) 29.279 * * [simplify]: iters left: 2 (219 enodes) 29.341 * * [simplify]: iters left: 1 (402 enodes) 29.485 * * [simplify]: Extracting #0: cost 1 inf + 0 29.485 * * [simplify]: Extracting #1: cost 5 inf + 0 29.485 * * [simplify]: Extracting #2: cost 7 inf + 1 29.485 * * [simplify]: Extracting #3: cost 35 inf + 1 29.486 * * [simplify]: Extracting #4: cost 110 inf + 2 29.486 * * [simplify]: Extracting #5: cost 169 inf + 218 29.487 * * [simplify]: Extracting #6: cost 169 inf + 1019 29.489 * * [simplify]: Extracting #7: cost 103 inf + 9959 29.496 * * [simplify]: Extracting #8: cost 30 inf + 40108 29.508 * * [simplify]: Extracting #9: cost 0 inf + 66758 29.529 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 29.529 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 29.530 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 29.530 * * [simplify]: iters left: 6 (13 enodes) 29.537 * * [simplify]: iters left: 5 (54 enodes) 29.555 * * [simplify]: iters left: 4 (87 enodes) 29.583 * * [simplify]: iters left: 3 (130 enodes) 29.630 * * [simplify]: iters left: 2 (211 enodes) 29.708 * * [simplify]: iters left: 1 (391 enodes) 29.919 * * [simplify]: Extracting #0: cost 1 inf + 0 29.919 * * [simplify]: Extracting #1: cost 4 inf + 0 29.919 * * [simplify]: Extracting #2: cost 8 inf + 0 29.919 * * [simplify]: Extracting #3: cost 31 inf + 83 29.920 * * [simplify]: Extracting #4: cost 111 inf + 84 29.921 * * [simplify]: Extracting #5: cost 159 inf + 384 29.925 * * [simplify]: Extracting #6: cost 115 inf + 6135 29.935 * * [simplify]: Extracting #7: cost 40 inf + 33823 29.955 * * [simplify]: Extracting #8: cost 1 inf + 63208 29.976 * * [simplify]: Extracting #9: cost 0 inf + 63835 29.996 * * [simplify]: Extracting #10: cost 0 inf + 63795 30.019 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 30.020 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 30.020 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 30.020 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 30.020 * * [simplify]: iters left: 6 (15 enodes) 30.029 * * [simplify]: iters left: 5 (62 enodes) 30.049 * * [simplify]: iters left: 4 (99 enodes) 30.080 * * [simplify]: iters left: 3 (144 enodes) 30.127 * * [simplify]: iters left: 2 (229 enodes) 30.188 * * [simplify]: iters left: 1 (404 enodes) 30.373 * * [simplify]: Extracting #0: cost 1 inf + 0 30.373 * * [simplify]: Extracting #1: cost 7 inf + 0 30.373 * * [simplify]: Extracting #2: cost 14 inf + 0 30.373 * * [simplify]: Extracting #3: cost 44 inf + 0 30.374 * * [simplify]: Extracting #4: cost 122 inf + 43 30.375 * * [simplify]: Extracting #5: cost 161 inf + 1676 30.377 * * [simplify]: Extracting #6: cost 105 inf + 13384 30.383 * * [simplify]: Extracting #7: cost 40 inf + 39339 30.393 * * [simplify]: Extracting #8: cost 2 inf + 71174 30.403 * * [simplify]: Extracting #9: cost 0 inf + 71571 30.419 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 30.419 * [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 k) 2))) (sqrt (sqrt k))))) 30.420 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 30.420 * * [simplify]: iters left: 6 (14 enodes) 30.424 * * [simplify]: iters left: 5 (57 enodes) 30.434 * * [simplify]: iters left: 4 (90 enodes) 30.451 * * [simplify]: iters left: 3 (129 enodes) 30.476 * * [simplify]: iters left: 2 (209 enodes) 30.530 * * [simplify]: iters left: 1 (388 enodes) 30.672 * * [simplify]: Extracting #0: cost 1 inf + 0 30.672 * * [simplify]: Extracting #1: cost 4 inf + 0 30.672 * * [simplify]: Extracting #2: cost 8 inf + 0 30.673 * * [simplify]: Extracting #3: cost 37 inf + 0 30.673 * * [simplify]: Extracting #4: cost 114 inf + 124 30.674 * * [simplify]: Extracting #5: cost 155 inf + 794 30.676 * * [simplify]: Extracting #6: cost 102 inf + 7947 30.681 * * [simplify]: Extracting #7: cost 43 inf + 35589 30.690 * * [simplify]: Extracting #8: cost 7 inf + 63835 30.714 * * [simplify]: Extracting #9: cost 0 inf + 70037 30.726 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 30.726 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 30.727 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 30.727 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 30.727 * * [simplify]: iters left: 6 (13 enodes) 30.733 * * [simplify]: iters left: 5 (54 enodes) 30.743 * * [simplify]: iters left: 4 (95 enodes) 30.765 * * [simplify]: iters left: 3 (139 enodes) 30.809 * * [simplify]: iters left: 2 (220 enodes) 30.882 * * [simplify]: iters left: 1 (398 enodes) 31.024 * * [simplify]: Extracting #0: cost 1 inf + 0 31.024 * * [simplify]: Extracting #1: cost 5 inf + 0 31.024 * * [simplify]: Extracting #2: cost 7 inf + 1 31.024 * * [simplify]: Extracting #3: cost 36 inf + 1 31.025 * * [simplify]: Extracting #4: cost 116 inf + 2 31.026 * * [simplify]: Extracting #5: cost 176 inf + 176 31.029 * * [simplify]: Extracting #6: cost 148 inf + 5073 31.039 * * [simplify]: Extracting #7: cost 49 inf + 28737 31.064 * * [simplify]: Extracting #8: cost 2 inf + 65576 31.083 * * [simplify]: Extracting #9: cost 0 inf + 64747 31.097 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 31.097 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 31.098 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 31.098 * * [simplify]: iters left: 6 (13 enodes) 31.102 * * [simplify]: iters left: 5 (54 enodes) 31.111 * * [simplify]: iters left: 4 (87 enodes) 31.132 * * [simplify]: iters left: 3 (130 enodes) 31.164 * * [simplify]: iters left: 2 (211 enodes) 31.206 * * [simplify]: iters left: 1 (391 enodes) 31.351 * * [simplify]: Extracting #0: cost 1 inf + 0 31.351 * * [simplify]: Extracting #1: cost 4 inf + 0 31.351 * * [simplify]: Extracting #2: cost 8 inf + 0 31.351 * * [simplify]: Extracting #3: cost 31 inf + 83 31.352 * * [simplify]: Extracting #4: cost 111 inf + 84 31.352 * * [simplify]: Extracting #5: cost 159 inf + 384 31.354 * * [simplify]: Extracting #6: cost 115 inf + 6135 31.360 * * [simplify]: Extracting #7: cost 40 inf + 33823 31.370 * * [simplify]: Extracting #8: cost 1 inf + 63208 31.387 * * [simplify]: Extracting #9: cost 0 inf + 63835 31.405 * * [simplify]: Extracting #10: cost 0 inf + 63795 31.425 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 31.425 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 31.425 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 31.425 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 31.426 * * [simplify]: iters left: 6 (15 enodes) 31.434 * * [simplify]: iters left: 5 (62 enodes) 31.445 * * [simplify]: iters left: 4 (98 enodes) 31.460 * * [simplify]: iters left: 3 (136 enodes) 31.489 * * [simplify]: iters left: 2 (216 enodes) 31.536 * * [simplify]: iters left: 1 (397 enodes) 31.701 * * [simplify]: Extracting #0: cost 1 inf + 0 31.701 * * [simplify]: Extracting #1: cost 6 inf + 0 31.701 * * [simplify]: Extracting #2: cost 13 inf + 0 31.701 * * [simplify]: Extracting #3: cost 49 inf + 0 31.702 * * [simplify]: Extracting #4: cost 135 inf + 2 31.703 * * [simplify]: Extracting #5: cost 168 inf + 1533 31.707 * * [simplify]: Extracting #6: cost 112 inf + 10666 31.716 * * [simplify]: Extracting #7: cost 35 inf + 39737 31.727 * * [simplify]: Extracting #8: cost 0 inf + 71468 31.737 * * [simplify]: Extracting #9: cost 0 inf + 70143 31.749 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 31.749 * [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 k) 2))) (cbrt (sqrt k))))) 31.749 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 31.749 * * [simplify]: iters left: 6 (14 enodes) 31.756 * * [simplify]: iters left: 5 (57 enodes) 31.778 * * [simplify]: iters left: 4 (91 enodes) 31.804 * * [simplify]: iters left: 3 (129 enodes) 31.829 * * [simplify]: iters left: 2 (209 enodes) 31.883 * * [simplify]: iters left: 1 (391 enodes) 32.060 * * [simplify]: Extracting #0: cost 1 inf + 0 32.060 * * [simplify]: Extracting #1: cost 4 inf + 0 32.060 * * [simplify]: Extracting #2: cost 9 inf + 0 32.060 * * [simplify]: Extracting #3: cost 45 inf + 0 32.061 * * [simplify]: Extracting #4: cost 130 inf + 164 32.062 * * [simplify]: Extracting #5: cost 160 inf + 711 32.066 * * [simplify]: Extracting #6: cost 102 inf + 10009 32.077 * * [simplify]: Extracting #7: cost 31 inf + 43235 32.091 * * [simplify]: Extracting #8: cost 0 inf + 70241 32.101 * * [simplify]: Extracting #9: cost 0 inf + 68697 32.121 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 32.121 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 32.121 * * * * [progress]: [ 86 / 127 ] simplifiying candidate # 32.122 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 32.122 * * [simplify]: iters left: 6 (15 enodes) 32.130 * * [simplify]: iters left: 5 (61 enodes) 32.147 * * [simplify]: iters left: 4 (95 enodes) 32.164 * * [simplify]: iters left: 3 (133 enodes) 32.186 * * [simplify]: iters left: 2 (213 enodes) 32.256 * * [simplify]: iters left: 1 (398 enodes) 32.419 * * [simplify]: Extracting #0: cost 1 inf + 0 32.419 * * [simplify]: Extracting #1: cost 4 inf + 0 32.419 * * [simplify]: Extracting #2: cost 10 inf + 0 32.419 * * [simplify]: Extracting #3: cost 46 inf + 0 32.419 * * [simplify]: Extracting #4: cost 131 inf + 204 32.420 * * [simplify]: Extracting #5: cost 161 inf + 1983 32.422 * * [simplify]: Extracting #6: cost 92 inf + 13405 32.428 * * [simplify]: Extracting #7: cost 38 inf + 35888 32.440 * * [simplify]: Extracting #8: cost 0 inf + 69779 32.454 * * [simplify]: Extracting #9: cost 0 inf + 68337 32.464 * * [simplify]: Extracting #10: cost 0 inf + 68297 32.475 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 32.476 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 32.476 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 32.476 * * [simplify]: iters left: 6 (14 enodes) 32.487 * * [simplify]: iters left: 5 (57 enodes) 32.503 * * [simplify]: iters left: 4 (91 enodes) 32.518 * * [simplify]: iters left: 3 (129 enodes) 32.552 * * [simplify]: iters left: 2 (209 enodes) 32.609 * * [simplify]: iters left: 1 (391 enodes) 32.786 * * [simplify]: Extracting #0: cost 1 inf + 0 32.787 * * [simplify]: Extracting #1: cost 4 inf + 0 32.787 * * [simplify]: Extracting #2: cost 9 inf + 0 32.787 * * [simplify]: Extracting #3: cost 45 inf + 0 32.788 * * [simplify]: Extracting #4: cost 130 inf + 204 32.789 * * [simplify]: Extracting #5: cost 160 inf + 791 32.793 * * [simplify]: Extracting #6: cost 102 inf + 10089 32.810 * * [simplify]: Extracting #7: cost 31 inf + 43315 32.830 * * [simplify]: Extracting #8: cost 0 inf + 70321 32.851 * * [simplify]: Extracting #9: cost 0 inf + 68777 32.864 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 32.864 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 32.864 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 32.864 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 32.864 * * [simplify]: iters left: 6 (14 enodes) 32.869 * * [simplify]: iters left: 5 (57 enodes) 32.879 * * [simplify]: iters left: 4 (91 enodes) 32.895 * * [simplify]: iters left: 3 (129 enodes) 32.919 * * [simplify]: iters left: 2 (209 enodes) 32.979 * * [simplify]: iters left: 1 (391 enodes) 33.168 * * [simplify]: Extracting #0: cost 1 inf + 0 33.169 * * [simplify]: Extracting #1: cost 4 inf + 0 33.169 * * [simplify]: Extracting #2: cost 9 inf + 0 33.169 * * [simplify]: Extracting #3: cost 45 inf + 0 33.169 * * [simplify]: Extracting #4: cost 130 inf + 124 33.170 * * [simplify]: Extracting #5: cost 160 inf + 631 33.172 * * [simplify]: Extracting #6: cost 102 inf + 9929 33.181 * * [simplify]: Extracting #7: cost 31 inf + 43075 33.196 * * [simplify]: Extracting #8: cost 0 inf + 70081 33.207 * * [simplify]: Extracting #9: cost 0 inf + 68537 33.217 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 33.217 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 33.218 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 33.218 * * [simplify]: iters left: 6 (14 enodes) 33.225 * * [simplify]: iters left: 5 (57 enodes) 33.248 * * [simplify]: iters left: 4 (91 enodes) 33.276 * * [simplify]: iters left: 3 (129 enodes) 33.317 * * [simplify]: iters left: 2 (209 enodes) 33.398 * * [simplify]: iters left: 1 (391 enodes) 33.570 * * [simplify]: Extracting #0: cost 1 inf + 0 33.570 * * [simplify]: Extracting #1: cost 4 inf + 0 33.570 * * [simplify]: Extracting #2: cost 9 inf + 0 33.570 * * [simplify]: Extracting #3: cost 45 inf + 0 33.571 * * [simplify]: Extracting #4: cost 130 inf + 124 33.571 * * [simplify]: Extracting #5: cost 160 inf + 631 33.573 * * [simplify]: Extracting #6: cost 102 inf + 9929 33.580 * * [simplify]: Extracting #7: cost 31 inf + 43075 33.594 * * [simplify]: Extracting #8: cost 0 inf + 70081 33.611 * * [simplify]: Extracting #9: cost 0 inf + 68537 33.631 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 33.631 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 33.632 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 33.632 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 33.632 * * [simplify]: iters left: 6 (13 enodes) 33.637 * * [simplify]: iters left: 5 (54 enodes) 33.646 * * [simplify]: iters left: 4 (88 enodes) 33.661 * * [simplify]: iters left: 3 (129 enodes) 33.683 * * [simplify]: iters left: 2 (210 enodes) 33.735 * * [simplify]: iters left: 1 (396 enodes) 33.932 * * [simplify]: Extracting #0: cost 1 inf + 0 33.932 * * [simplify]: Extracting #1: cost 5 inf + 0 33.932 * * [simplify]: Extracting #2: cost 37 inf + 1 33.932 * * [simplify]: Extracting #3: cost 132 inf + 2 33.933 * * [simplify]: Extracting #4: cost 179 inf + 177 33.934 * * [simplify]: Extracting #5: cost 164 inf + 1348 33.939 * * [simplify]: Extracting #6: cost 87 inf + 12163 33.947 * * [simplify]: Extracting #7: cost 26 inf + 48032 33.957 * * [simplify]: Extracting #8: cost 0 inf + 71186 33.968 * * [simplify]: Extracting #9: cost 0 inf + 70673 33.988 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 33.988 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 33.988 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 33.988 * * [simplify]: iters left: 6 (13 enodes) 33.995 * * [simplify]: iters left: 5 (54 enodes) 34.007 * * [simplify]: iters left: 4 (88 enodes) 34.022 * * [simplify]: iters left: 3 (127 enodes) 34.055 * * [simplify]: iters left: 2 (207 enodes) 34.130 * * [simplify]: iters left: 1 (391 enodes) 34.307 * * [simplify]: Extracting #0: cost 1 inf + 0 34.307 * * [simplify]: Extracting #1: cost 4 inf + 0 34.307 * * [simplify]: Extracting #2: cost 9 inf + 0 34.307 * * [simplify]: Extracting #3: cost 34 inf + 1 34.308 * * [simplify]: Extracting #4: cost 123 inf + 84 34.309 * * [simplify]: Extracting #5: cost 154 inf + 840 34.314 * * [simplify]: Extracting #6: cost 99 inf + 12682 34.321 * * [simplify]: Extracting #7: cost 29 inf + 41349 34.334 * * [simplify]: Extracting #8: cost 0 inf + 64449 34.345 * * [simplify]: Extracting #9: cost 0 inf + 63241 34.359 * * [simplify]: Extracting #10: cost 0 inf + 61822 34.370 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 34.370 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 34.370 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 34.370 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 34.370 * * [simplify]: iters left: 6 (14 enodes) 34.375 * * [simplify]: iters left: 5 (57 enodes) 34.385 * * [simplify]: iters left: 4 (91 enodes) 34.411 * * [simplify]: iters left: 3 (129 enodes) 34.440 * * [simplify]: iters left: 2 (209 enodes) 34.500 * * [simplify]: iters left: 1 (391 enodes) 34.642 * * [simplify]: Extracting #0: cost 1 inf + 0 34.642 * * [simplify]: Extracting #1: cost 4 inf + 0 34.642 * * [simplify]: Extracting #2: cost 9 inf + 0 34.642 * * [simplify]: Extracting #3: cost 45 inf + 0 34.643 * * [simplify]: Extracting #4: cost 130 inf + 124 34.644 * * [simplify]: Extracting #5: cost 160 inf + 631 34.649 * * [simplify]: Extracting #6: cost 102 inf + 9929 34.659 * * [simplify]: Extracting #7: cost 31 inf + 43075 34.669 * * [simplify]: Extracting #8: cost 0 inf + 70081 34.682 * * [simplify]: Extracting #9: cost 0 inf + 68537 34.695 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 34.695 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 34.695 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 34.696 * * [simplify]: iters left: 6 (14 enodes) 34.700 * * [simplify]: iters left: 5 (57 enodes) 34.712 * * [simplify]: iters left: 4 (91 enodes) 34.737 * * [simplify]: iters left: 3 (129 enodes) 34.762 * * [simplify]: iters left: 2 (209 enodes) 34.829 * * [simplify]: iters left: 1 (391 enodes) 34.959 * * [simplify]: Extracting #0: cost 1 inf + 0 34.959 * * [simplify]: Extracting #1: cost 4 inf + 0 34.959 * * [simplify]: Extracting #2: cost 9 inf + 0 34.960 * * [simplify]: Extracting #3: cost 45 inf + 0 34.960 * * [simplify]: Extracting #4: cost 130 inf + 124 34.961 * * [simplify]: Extracting #5: cost 160 inf + 631 34.963 * * [simplify]: Extracting #6: cost 102 inf + 9929 34.969 * * [simplify]: Extracting #7: cost 31 inf + 43075 34.982 * * [simplify]: Extracting #8: cost 0 inf + 70081 34.995 * * [simplify]: Extracting #9: cost 0 inf + 68537 35.010 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 35.010 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 35.010 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 35.010 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 35.010 * * [simplify]: iters left: 6 (12 enodes) 35.014 * * [simplify]: iters left: 5 (49 enodes) 35.022 * * [simplify]: iters left: 4 (83 enodes) 35.038 * * [simplify]: iters left: 3 (128 enodes) 35.064 * * [simplify]: iters left: 2 (214 enodes) 35.118 * * [simplify]: iters left: 1 (396 enodes) 35.277 * * [simplify]: Extracting #0: cost 1 inf + 0 35.277 * * [simplify]: Extracting #1: cost 5 inf + 0 35.277 * * [simplify]: Extracting #2: cost 37 inf + 1 35.278 * * [simplify]: Extracting #3: cost 138 inf + 2 35.278 * * [simplify]: Extracting #4: cost 176 inf + 177 35.279 * * [simplify]: Extracting #5: cost 162 inf + 1348 35.283 * * [simplify]: Extracting #6: cost 74 inf + 21379 35.294 * * [simplify]: Extracting #7: cost 8 inf + 59921 35.310 * * [simplify]: Extracting #8: cost 0 inf + 67086 35.334 * * [simplify]: Extracting #9: cost 0 inf + 66965 35.362 * * [simplify]: Extracting #10: cost 0 inf + 66925 35.378 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 35.378 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 35.378 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 35.378 * * [simplify]: iters left: 6 (13 enodes) 35.382 * * [simplify]: iters left: 5 (54 enodes) 35.392 * * [simplify]: iters left: 4 (88 enodes) 35.411 * * [simplify]: iters left: 3 (127 enodes) 35.446 * * [simplify]: iters left: 2 (207 enodes) 35.499 * * [simplify]: iters left: 1 (391 enodes) 35.658 * * [simplify]: Extracting #0: cost 1 inf + 0 35.658 * * [simplify]: Extracting #1: cost 4 inf + 0 35.658 * * [simplify]: Extracting #2: cost 9 inf + 0 35.658 * * [simplify]: Extracting #3: cost 34 inf + 1 35.659 * * [simplify]: Extracting #4: cost 123 inf + 84 35.660 * * [simplify]: Extracting #5: cost 154 inf + 840 35.665 * * [simplify]: Extracting #6: cost 99 inf + 12682 35.678 * * [simplify]: Extracting #7: cost 29 inf + 41349 35.699 * * [simplify]: Extracting #8: cost 0 inf + 64449 35.719 * * [simplify]: Extracting #9: cost 0 inf + 63241 35.741 * * [simplify]: Extracting #10: cost 0 inf + 61822 35.762 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 35.762 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 35.763 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 35.763 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 35.763 * * [simplify]: iters left: 6 (6 enodes) 35.766 * * [simplify]: iters left: 5 (22 enodes) 35.773 * * [simplify]: iters left: 4 (26 enodes) 35.780 * * [simplify]: Extracting #0: cost 1 inf + 0 35.781 * * [simplify]: Extracting #1: cost 6 inf + 0 35.781 * * [simplify]: Extracting #2: cost 9 inf + 1 35.781 * * [simplify]: Extracting #3: cost 11 inf + 1 35.781 * * [simplify]: Extracting #4: cost 8 inf + 84 35.781 * * [simplify]: Extracting #5: cost 2 inf + 1013 35.781 * * [simplify]: Extracting #6: cost 0 inf + 1376 35.782 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 35.782 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 35.782 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 35.782 * * [simplify]: iters left: 6 (13 enodes) 35.790 * * [simplify]: iters left: 5 (54 enodes) 35.809 * * [simplify]: iters left: 4 (89 enodes) 35.824 * * [simplify]: iters left: 3 (138 enodes) 35.856 * * [simplify]: iters left: 2 (235 enodes) 35.926 * * [simplify]: iters left: 1 (482 enodes) 36.150 * * [simplify]: Extracting #0: cost 1 inf + 0 36.150 * * [simplify]: Extracting #1: cost 47 inf + 0 36.151 * * [simplify]: Extracting #2: cost 151 inf + 0 36.152 * * [simplify]: Extracting #3: cost 236 inf + 3 36.155 * * [simplify]: Extracting #4: cost 233 inf + 1958 36.164 * * [simplify]: Extracting #5: cost 131 inf + 30351 36.205 * * [simplify]: Extracting #6: cost 25 inf + 109502 36.249 * * [simplify]: Extracting #7: cost 0 inf + 128935 36.281 * * [simplify]: Extracting #8: cost 0 inf + 127159 36.333 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 36.334 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 36.334 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 36.334 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 36.334 * * [simplify]: iters left: 6 (6 enodes) 36.337 * * [simplify]: iters left: 5 (21 enodes) 36.344 * * [simplify]: iters left: 4 (23 enodes) 36.349 * * [simplify]: Extracting #0: cost 1 inf + 0 36.349 * * [simplify]: Extracting #1: cost 4 inf + 0 36.349 * * [simplify]: Extracting #2: cost 6 inf + 1 36.349 * * [simplify]: Extracting #3: cost 9 inf + 1 36.349 * * [simplify]: Extracting #4: cost 8 inf + 2 36.349 * * [simplify]: Extracting #5: cost 1 inf + 810 36.349 * * [simplify]: Extracting #6: cost 0 inf + 972 36.349 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 36.349 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 36.349 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 36.349 * * [simplify]: iters left: 6 (13 enodes) 36.353 * * [simplify]: iters left: 5 (54 enodes) 36.365 * * [simplify]: iters left: 4 (89 enodes) 36.382 * * [simplify]: iters left: 3 (138 enodes) 36.416 * * [simplify]: iters left: 2 (235 enodes) 36.483 * * [simplify]: iters left: 1 (482 enodes) 36.672 * * [simplify]: Extracting #0: cost 1 inf + 0 36.672 * * [simplify]: Extracting #1: cost 47 inf + 0 36.673 * * [simplify]: Extracting #2: cost 151 inf + 0 36.675 * * [simplify]: Extracting #3: cost 236 inf + 3 36.678 * * [simplify]: Extracting #4: cost 233 inf + 1998 36.686 * * [simplify]: Extracting #5: cost 131 inf + 30431 36.712 * * [simplify]: Extracting #6: cost 25 inf + 109582 36.738 * * [simplify]: Extracting #7: cost 0 inf + 129015 36.766 * * [simplify]: Extracting #8: cost 0 inf + 127239 36.794 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k))) 36.794 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k))))) 36.794 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 36.795 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 36.795 * * [simplify]: iters left: 4 (5 enodes) 36.798 * * [simplify]: iters left: 3 (17 enodes) 36.803 * * [simplify]: iters left: 2 (19 enodes) 36.808 * * [simplify]: Extracting #0: cost 1 inf + 0 36.808 * * [simplify]: Extracting #1: cost 4 inf + 0 36.808 * * [simplify]: Extracting #2: cost 5 inf + 1 36.808 * * [simplify]: Extracting #3: cost 7 inf + 1 36.809 * * [simplify]: Extracting #4: cost 0 inf + 490 36.809 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 36.809 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 36.809 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 36.809 * * [simplify]: iters left: 6 (13 enodes) 36.817 * * [simplify]: iters left: 5 (54 enodes) 36.837 * * [simplify]: iters left: 4 (89 enodes) 36.864 * * [simplify]: iters left: 3 (138 enodes) 36.897 * * [simplify]: iters left: 2 (235 enodes) 36.963 * * [simplify]: iters left: 1 (482 enodes) 37.195 * * [simplify]: Extracting #0: cost 1 inf + 0 37.196 * * [simplify]: Extracting #1: cost 47 inf + 0 37.197 * * [simplify]: Extracting #2: cost 151 inf + 0 37.198 * * [simplify]: Extracting #3: cost 236 inf + 3 37.201 * * [simplify]: Extracting #4: cost 233 inf + 1878 37.210 * * [simplify]: Extracting #5: cost 131 inf + 29831 37.251 * * [simplify]: Extracting #6: cost 25 inf + 106782 37.302 * * [simplify]: Extracting #7: cost 0 inf + 125615 37.355 * * [simplify]: Extracting #8: cost 0 inf + 123839 37.407 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 37.407 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 37.407 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 37.407 * [simplify]: Simplifying (/ 1 (sqrt 1)) 37.407 * * [simplify]: iters left: 3 (3 enodes) 37.411 * * [simplify]: iters left: 2 (11 enodes) 37.413 * * [simplify]: iters left: 1 (13 enodes) 37.415 * * [simplify]: Extracting #0: cost 1 inf + 0 37.415 * * [simplify]: Extracting #1: cost 0 inf + 1 37.415 * [simplify]: Simplified to 1 37.415 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 37.415 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 37.415 * * [simplify]: iters left: 6 (12 enodes) 37.419 * * [simplify]: iters left: 5 (51 enodes) 37.430 * * [simplify]: iters left: 4 (86 enodes) 37.447 * * [simplify]: iters left: 3 (135 enodes) 37.480 * * [simplify]: iters left: 2 (232 enodes) 37.535 * * [simplify]: iters left: 1 (483 enodes) 37.795 * * [simplify]: Extracting #0: cost 1 inf + 0 37.795 * * [simplify]: Extracting #1: cost 47 inf + 0 37.796 * * [simplify]: Extracting #2: cost 159 inf + 0 37.797 * * [simplify]: Extracting #3: cost 245 inf + 4 37.800 * * [simplify]: Extracting #4: cost 240 inf + 1758 37.807 * * [simplify]: Extracting #5: cost 164 inf + 19506 37.822 * * [simplify]: Extracting #6: cost 58 inf + 90111 37.845 * * [simplify]: Extracting #7: cost 1 inf + 137769 37.886 * * [simplify]: Extracting #8: cost 0 inf + 137384 37.927 * * [simplify]: Extracting #9: cost 0 inf + 136880 37.956 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 37.956 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 37.956 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 37.957 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 37.957 * * [simplify]: iters left: 4 (5 enodes) 37.958 * * [simplify]: iters left: 3 (17 enodes) 37.961 * * [simplify]: iters left: 2 (19 enodes) 37.965 * * [simplify]: Extracting #0: cost 1 inf + 0 37.965 * * [simplify]: Extracting #1: cost 4 inf + 0 37.965 * * [simplify]: Extracting #2: cost 5 inf + 1 37.965 * * [simplify]: Extracting #3: cost 7 inf + 1 37.966 * * [simplify]: Extracting #4: cost 0 inf + 490 37.966 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 37.966 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 37.966 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 37.966 * * [simplify]: iters left: 6 (13 enodes) 37.974 * * [simplify]: iters left: 5 (54 enodes) 37.990 * * [simplify]: iters left: 4 (89 enodes) 38.004 * * [simplify]: iters left: 3 (138 enodes) 38.036 * * [simplify]: iters left: 2 (235 enodes) 38.113 * * [simplify]: iters left: 1 (482 enodes) 38.316 * * [simplify]: Extracting #0: cost 1 inf + 0 38.316 * * [simplify]: Extracting #1: cost 47 inf + 0 38.317 * * [simplify]: Extracting #2: cost 151 inf + 0 38.318 * * [simplify]: Extracting #3: cost 236 inf + 3 38.322 * * [simplify]: Extracting #4: cost 233 inf + 1878 38.327 * * [simplify]: Extracting #5: cost 131 inf + 29831 38.346 * * [simplify]: Extracting #6: cost 25 inf + 106782 38.390 * * [simplify]: Extracting #7: cost 0 inf + 125615 38.442 * * [simplify]: Extracting #8: cost 0 inf + 123839 38.480 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 38.480 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 38.480 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 38.481 * [simplify]: Simplifying (/ 1 1) 38.481 * * [simplify]: iters left: 2 (2 enodes) 38.482 * * [simplify]: iters left: 1 (6 enodes) 38.483 * * [simplify]: Extracting #0: cost 1 inf + 0 38.483 * * [simplify]: Extracting #1: cost 0 inf + 1 38.483 * [simplify]: Simplified to 1 38.483 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 38.483 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 38.484 * * [simplify]: iters left: 6 (12 enodes) 38.488 * * [simplify]: iters left: 5 (51 enodes) 38.497 * * [simplify]: iters left: 4 (86 enodes) 38.512 * * [simplify]: iters left: 3 (135 enodes) 38.536 * * [simplify]: iters left: 2 (232 enodes) 38.609 * * [simplify]: iters left: 1 (483 enodes) 38.830 * * [simplify]: Extracting #0: cost 1 inf + 0 38.830 * * [simplify]: Extracting #1: cost 47 inf + 0 38.831 * * [simplify]: Extracting #2: cost 159 inf + 0 38.835 * * [simplify]: Extracting #3: cost 245 inf + 4 38.837 * * [simplify]: Extracting #4: cost 240 inf + 1758 38.840 * * [simplify]: Extracting #5: cost 164 inf + 19506 38.852 * * [simplify]: Extracting #6: cost 58 inf + 90111 38.882 * * [simplify]: Extracting #7: cost 1 inf + 137769 38.910 * * [simplify]: Extracting #8: cost 0 inf + 137384 38.930 * * [simplify]: Extracting #9: cost 0 inf + 136880 38.969 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 38.969 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 38.969 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 38.970 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 38.970 * * [simplify]: iters left: 6 (15 enodes) 38.979 * * [simplify]: iters left: 5 (65 enodes) 39.000 * * [simplify]: iters left: 4 (109 enodes) 39.036 * * [simplify]: iters left: 3 (188 enodes) 39.104 * * [simplify]: iters left: 2 (375 enodes) 39.224 * * [simplify]: Extracting #0: cost 1 inf + 0 39.224 * * [simplify]: Extracting #1: cost 55 inf + 0 39.225 * * [simplify]: Extracting #2: cost 146 inf + 0 39.226 * * [simplify]: Extracting #3: cost 227 inf + 2 39.229 * * [simplify]: Extracting #4: cost 222 inf + 2410 39.235 * * [simplify]: Extracting #5: cost 161 inf + 15062 39.241 * * [simplify]: Extracting #6: cost 95 inf + 50743 39.257 * * [simplify]: Extracting #7: cost 8 inf + 121845 39.282 * * [simplify]: Extracting #8: cost 0 inf + 126757 39.302 * * [simplify]: Extracting #9: cost 0 inf + 126678 39.320 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 39.320 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) 39.320 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 39.321 * * [simplify]: iters left: 6 (14 enodes) 39.325 * * [simplify]: iters left: 5 (60 enodes) 39.336 * * [simplify]: iters left: 4 (98 enodes) 39.356 * * [simplify]: iters left: 3 (160 enodes) 39.413 * * [simplify]: iters left: 2 (297 enodes) 39.499 * * [simplify]: Extracting #0: cost 1 inf + 0 39.499 * * [simplify]: Extracting #1: cost 30 inf + 0 39.500 * * [simplify]: Extracting #2: cost 74 inf + 0 39.500 * * [simplify]: Extracting #3: cost 138 inf + 2 39.502 * * [simplify]: Extracting #4: cost 145 inf + 473 39.504 * * [simplify]: Extracting #5: cost 104 inf + 5314 39.513 * * [simplify]: Extracting #6: cost 34 inf + 35176 39.527 * * [simplify]: Extracting #7: cost 2 inf + 59157 39.543 * * [simplify]: Extracting #8: cost 0 inf + 60367 39.558 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 39.558 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 39.558 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 39.559 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 39.559 * * [simplify]: iters left: 6 (15 enodes) 39.567 * * [simplify]: iters left: 5 (64 enodes) 39.588 * * [simplify]: iters left: 4 (102 enodes) 39.620 * * [simplify]: iters left: 3 (164 enodes) 39.682 * * [simplify]: iters left: 2 (303 enodes) 39.796 * * [simplify]: Extracting #0: cost 1 inf + 0 39.796 * * [simplify]: Extracting #1: cost 30 inf + 0 39.796 * * [simplify]: Extracting #2: cost 74 inf + 0 39.796 * * [simplify]: Extracting #3: cost 142 inf + 2 39.797 * * [simplify]: Extracting #4: cost 152 inf + 307 39.798 * * [simplify]: Extracting #5: cost 105 inf + 6133 39.802 * * [simplify]: Extracting #6: cost 34 inf + 34573 39.809 * * [simplify]: Extracting #7: cost 1 inf + 58902 39.817 * * [simplify]: Extracting #8: cost 0 inf + 59385 39.828 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 39.828 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))))) 39.829 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 39.829 * * [simplify]: iters left: 6 (14 enodes) 39.837 * * [simplify]: iters left: 5 (60 enodes) 39.855 * * [simplify]: iters left: 4 (98 enodes) 39.872 * * [simplify]: iters left: 3 (160 enodes) 39.905 * * [simplify]: iters left: 2 (297 enodes) 39.976 * * [simplify]: Extracting #0: cost 1 inf + 0 39.977 * * [simplify]: Extracting #1: cost 30 inf + 0 39.977 * * [simplify]: Extracting #2: cost 74 inf + 0 39.978 * * [simplify]: Extracting #3: cost 138 inf + 2 39.979 * * [simplify]: Extracting #4: cost 145 inf + 473 39.981 * * [simplify]: Extracting #5: cost 104 inf + 5394 39.988 * * [simplify]: Extracting #6: cost 34 inf + 35256 40.000 * * [simplify]: Extracting #7: cost 2 inf + 59237 40.015 * * [simplify]: Extracting #8: cost 0 inf + 60447 40.028 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 40.029 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 40.029 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 40.029 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 40.029 * * [simplify]: iters left: 6 (14 enodes) 40.034 * * [simplify]: iters left: 5 (60 enodes) 40.045 * * [simplify]: iters left: 4 (98 enodes) 40.065 * * [simplify]: iters left: 3 (160 enodes) 40.098 * * [simplify]: iters left: 2 (297 enodes) 40.195 * * [simplify]: Extracting #0: cost 1 inf + 0 40.195 * * [simplify]: Extracting #1: cost 30 inf + 0 40.196 * * [simplify]: Extracting #2: cost 74 inf + 0 40.196 * * [simplify]: Extracting #3: cost 138 inf + 2 40.197 * * [simplify]: Extracting #4: cost 145 inf + 473 40.200 * * [simplify]: Extracting #5: cost 104 inf + 5234 40.208 * * [simplify]: Extracting #6: cost 34 inf + 34336 40.223 * * [simplify]: Extracting #7: cost 2 inf + 57757 40.235 * * [simplify]: Extracting #8: cost 0 inf + 58887 40.243 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 40.243 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 40.243 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 40.243 * * [simplify]: iters left: 6 (14 enodes) 40.247 * * [simplify]: iters left: 5 (60 enodes) 40.259 * * [simplify]: iters left: 4 (98 enodes) 40.282 * * [simplify]: iters left: 3 (160 enodes) 40.321 * * [simplify]: iters left: 2 (297 enodes) 40.410 * * [simplify]: Extracting #0: cost 1 inf + 0 40.410 * * [simplify]: Extracting #1: cost 30 inf + 0 40.410 * * [simplify]: Extracting #2: cost 74 inf + 0 40.410 * * [simplify]: Extracting #3: cost 138 inf + 2 40.411 * * [simplify]: Extracting #4: cost 145 inf + 473 40.412 * * [simplify]: Extracting #5: cost 104 inf + 5234 40.419 * * [simplify]: Extracting #6: cost 34 inf + 34336 40.430 * * [simplify]: Extracting #7: cost 2 inf + 57757 40.438 * * [simplify]: Extracting #8: cost 0 inf + 58887 40.446 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 40.446 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 40.446 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 40.447 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 40.447 * * [simplify]: iters left: 6 (13 enodes) 40.452 * * [simplify]: iters left: 5 (57 enodes) 40.471 * * [simplify]: iters left: 4 (93 enodes) 40.501 * * [simplify]: iters left: 3 (153 enodes) 40.559 * * [simplify]: iters left: 2 (288 enodes) 40.670 * * [simplify]: Extracting #0: cost 1 inf + 0 40.670 * * [simplify]: Extracting #1: cost 26 inf + 0 40.670 * * [simplify]: Extracting #2: cost 88 inf + 2 40.671 * * [simplify]: Extracting #3: cost 135 inf + 9 40.672 * * [simplify]: Extracting #4: cost 128 inf + 890 40.678 * * [simplify]: Extracting #5: cost 41 inf + 20076 40.691 * * [simplify]: Extracting #6: cost 2 inf + 39417 40.706 * * [simplify]: Extracting #7: cost 0 inf + 40189 40.720 * * [simplify]: Extracting #8: cost 0 inf + 40150 40.735 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 40.735 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 40.735 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 40.735 * * [simplify]: iters left: 6 (13 enodes) 40.743 * * [simplify]: iters left: 5 (57 enodes) 40.762 * * [simplify]: iters left: 4 (95 enodes) 40.797 * * [simplify]: iters left: 3 (157 enodes) 40.832 * * [simplify]: iters left: 2 (295 enodes) 40.942 * * [simplify]: Extracting #0: cost 1 inf + 0 40.942 * * [simplify]: Extracting #1: cost 30 inf + 0 40.942 * * [simplify]: Extracting #2: cost 71 inf + 0 40.943 * * [simplify]: Extracting #3: cost 134 inf + 3 40.945 * * [simplify]: Extracting #4: cost 131 inf + 1717 40.951 * * [simplify]: Extracting #5: cost 67 inf + 18982 40.966 * * [simplify]: Extracting #6: cost 0 inf + 51445 40.983 * * [simplify]: Extracting #7: cost 0 inf + 50772 40.999 * * [simplify]: Extracting #8: cost 0 inf + 50228 41.009 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 41.009 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 41.009 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 41.009 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 41.009 * * [simplify]: iters left: 6 (14 enodes) 41.014 * * [simplify]: iters left: 5 (60 enodes) 41.024 * * [simplify]: iters left: 4 (98 enodes) 41.054 * * [simplify]: iters left: 3 (160 enodes) 41.100 * * [simplify]: iters left: 2 (297 enodes) 41.192 * * [simplify]: Extracting #0: cost 1 inf + 0 41.192 * * [simplify]: Extracting #1: cost 30 inf + 0 41.193 * * [simplify]: Extracting #2: cost 74 inf + 0 41.193 * * [simplify]: Extracting #3: cost 138 inf + 2 41.194 * * [simplify]: Extracting #4: cost 145 inf + 473 41.197 * * [simplify]: Extracting #5: cost 104 inf + 5234 41.206 * * [simplify]: Extracting #6: cost 34 inf + 34336 41.220 * * [simplify]: Extracting #7: cost 2 inf + 57757 41.228 * * [simplify]: Extracting #8: cost 0 inf + 58887 41.236 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 41.236 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 41.236 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 41.236 * * [simplify]: iters left: 6 (14 enodes) 41.240 * * [simplify]: iters left: 5 (60 enodes) 41.251 * * [simplify]: iters left: 4 (98 enodes) 41.287 * * [simplify]: iters left: 3 (160 enodes) 41.327 * * [simplify]: iters left: 2 (297 enodes) 41.397 * * [simplify]: Extracting #0: cost 1 inf + 0 41.397 * * [simplify]: Extracting #1: cost 30 inf + 0 41.398 * * [simplify]: Extracting #2: cost 74 inf + 0 41.398 * * [simplify]: Extracting #3: cost 138 inf + 2 41.399 * * [simplify]: Extracting #4: cost 145 inf + 473 41.400 * * [simplify]: Extracting #5: cost 104 inf + 5234 41.404 * * [simplify]: Extracting #6: cost 34 inf + 34336 41.411 * * [simplify]: Extracting #7: cost 2 inf + 57757 41.421 * * [simplify]: Extracting #8: cost 0 inf + 58887 41.436 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 41.436 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 41.436 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 41.437 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 41.437 * * [simplify]: iters left: 6 (12 enodes) 41.444 * * [simplify]: iters left: 5 (52 enodes) 41.461 * * [simplify]: iters left: 4 (90 enodes) 41.494 * * [simplify]: iters left: 3 (158 enodes) 41.548 * * [simplify]: iters left: 2 (296 enodes) 41.634 * * [simplify]: Extracting #0: cost 1 inf + 0 41.635 * * [simplify]: Extracting #1: cost 29 inf + 0 41.635 * * [simplify]: Extracting #2: cost 109 inf + 2 41.636 * * [simplify]: Extracting #3: cost 157 inf + 219 41.638 * * [simplify]: Extracting #4: cost 154 inf + 764 41.642 * * [simplify]: Extracting #5: cost 81 inf + 14337 41.655 * * [simplify]: Extracting #6: cost 6 inf + 56302 41.671 * * [simplify]: Extracting #7: cost 0 inf + 60534 41.680 * * [simplify]: Extracting #8: cost 0 inf + 60272 41.689 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 41.689 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 41.689 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 41.689 * * [simplify]: iters left: 6 (13 enodes) 41.696 * * [simplify]: iters left: 5 (57 enodes) 41.707 * * [simplify]: iters left: 4 (95 enodes) 41.724 * * [simplify]: iters left: 3 (157 enodes) 41.768 * * [simplify]: iters left: 2 (295 enodes) 41.857 * * [simplify]: Extracting #0: cost 1 inf + 0 41.857 * * [simplify]: Extracting #1: cost 30 inf + 0 41.858 * * [simplify]: Extracting #2: cost 71 inf + 0 41.858 * * [simplify]: Extracting #3: cost 134 inf + 3 41.860 * * [simplify]: Extracting #4: cost 131 inf + 1717 41.865 * * [simplify]: Extracting #5: cost 67 inf + 18982 41.879 * * [simplify]: Extracting #6: cost 0 inf + 51445 41.889 * * [simplify]: Extracting #7: cost 0 inf + 50772 41.897 * * [simplify]: Extracting #8: cost 0 inf + 50228 41.908 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 41.908 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 41.909 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 41.909 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 41.909 * [simplify]: Simplifying (/ 1 (sqrt k)) 41.909 * * [simplify]: iters left: 3 (4 enodes) 41.910 * * [simplify]: iters left: 2 (14 enodes) 41.915 * * [simplify]: iters left: 1 (16 enodes) 41.920 * * [simplify]: Extracting #0: cost 1 inf + 0 41.920 * * [simplify]: Extracting #1: cost 4 inf + 0 41.920 * * [simplify]: Extracting #2: cost 5 inf + 1 41.920 * * [simplify]: Extracting #3: cost 3 inf + 43 41.920 * * [simplify]: Extracting #4: cost 1 inf + 166 41.920 * * [simplify]: Extracting #5: cost 0 inf + 248 41.921 * [simplify]: Simplified to (/ 1 (sqrt k)) 41.921 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 41.921 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 41.921 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 41.921 * * [simplify]: iters left: 6 (12 enodes) 41.928 * * [simplify]: iters left: 5 (51 enodes) 41.945 * * [simplify]: iters left: 4 (86 enodes) 41.964 * * [simplify]: iters left: 3 (133 enodes) 41.990 * * [simplify]: iters left: 2 (224 enodes) 42.074 * * [simplify]: iters left: 1 (420 enodes) 42.272 * * [simplify]: Extracting #0: cost 1 inf + 0 42.272 * * [simplify]: Extracting #1: cost 6 inf + 0 42.272 * * [simplify]: Extracting #2: cost 43 inf + 0 42.273 * * [simplify]: Extracting #3: cost 141 inf + 84 42.274 * * [simplify]: Extracting #4: cost 184 inf + 426 42.278 * * [simplify]: Extracting #5: cost 133 inf + 6364 42.287 * * [simplify]: Extracting #6: cost 64 inf + 29813 42.307 * * [simplify]: Extracting #7: cost 12 inf + 68347 42.333 * * [simplify]: Extracting #8: cost 0 inf + 77856 42.360 * * [simplify]: Extracting #9: cost 0 inf + 77383 42.393 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 42.393 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 42.393 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 42.394 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 42.394 * * [simplify]: iters left: 6 (14 enodes) 42.401 * * [simplify]: iters left: 5 (59 enodes) 42.418 * * [simplify]: iters left: 4 (100 enodes) 42.441 * * [simplify]: iters left: 3 (160 enodes) 42.497 * * [simplify]: iters left: 2 (302 enodes) 42.575 * * [simplify]: Extracting #0: cost 1 inf + 0 42.576 * * [simplify]: Extracting #1: cost 56 inf + 0 42.576 * * [simplify]: Extracting #2: cost 146 inf + 0 42.578 * * [simplify]: Extracting #3: cost 213 inf + 2 42.581 * * [simplify]: Extracting #4: cost 189 inf + 6669 42.604 * * [simplify]: Extracting #5: cost 62 inf + 72512 42.633 * * [simplify]: Extracting #6: cost 0 inf + 110758 42.651 * * [simplify]: Extracting #7: cost 0 inf + 109325 42.677 * * [simplify]: Extracting #8: cost 0 inf + 108663 42.695 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 42.695 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 42.695 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 42.695 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 42.695 * * [simplify]: iters left: 6 (14 enodes) 42.700 * * [simplify]: iters left: 5 (58 enodes) 42.720 * * [simplify]: iters left: 4 (93 enodes) 42.748 * * [simplify]: iters left: 3 (137 enodes) 42.793 * * [simplify]: iters left: 2 (233 enodes) 42.885 * * [simplify]: iters left: 1 (467 enodes) 43.075 * * [simplify]: Extracting #0: cost 1 inf + 0 43.075 * * [simplify]: Extracting #1: cost 58 inf + 0 43.076 * * [simplify]: Extracting #2: cost 165 inf + 0 43.078 * * [simplify]: Extracting #3: cost 236 inf + 3 43.081 * * [simplify]: Extracting #4: cost 226 inf + 4689 43.097 * * [simplify]: Extracting #5: cost 111 inf + 60290 43.121 * * [simplify]: Extracting #6: cost 9 inf + 136203 43.160 * * [simplify]: Extracting #7: cost 0 inf + 142659 43.206 * * [simplify]: Extracting #8: cost 0 inf + 141570 43.250 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) 43.251 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) (sqrt (cbrt k)))) 43.251 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 43.251 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 43.251 * * [simplify]: iters left: 6 (13 enodes) 43.255 * * [simplify]: iters left: 5 (54 enodes) 43.264 * * [simplify]: iters left: 4 (89 enodes) 43.281 * * [simplify]: iters left: 3 (138 enodes) 43.324 * * [simplify]: iters left: 2 (235 enodes) 43.397 * * [simplify]: iters left: 1 (482 enodes) 43.627 * * [simplify]: Extracting #0: cost 1 inf + 0 43.627 * * [simplify]: Extracting #1: cost 47 inf + 0 43.628 * * [simplify]: Extracting #2: cost 151 inf + 0 43.629 * * [simplify]: Extracting #3: cost 236 inf + 3 43.630 * * [simplify]: Extracting #4: cost 233 inf + 1878 43.634 * * [simplify]: Extracting #5: cost 131 inf + 29831 43.653 * * [simplify]: Extracting #6: cost 25 inf + 106782 43.684 * * [simplify]: Extracting #7: cost 0 inf + 125615 43.711 * * [simplify]: Extracting #8: cost 0 inf + 123839 43.751 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 43.751 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 43.751 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 43.752 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) 43.752 * * [simplify]: iters left: 6 (12 enodes) 43.757 * * [simplify]: iters left: 5 (51 enodes) 43.765 * * [simplify]: iters left: 4 (84 enodes) 43.779 * * [simplify]: iters left: 3 (131 enodes) 43.822 * * [simplify]: iters left: 2 (224 enodes) 43.902 * * [simplify]: iters left: 1 (449 enodes) 44.115 * * [simplify]: Extracting #0: cost 1 inf + 0 44.115 * * [simplify]: Extracting #1: cost 62 inf + 0 44.115 * * [simplify]: Extracting #2: cost 171 inf + 2 44.116 * * [simplify]: Extracting #3: cost 232 inf + 176 44.118 * * [simplify]: Extracting #4: cost 217 inf + 1766 44.124 * * [simplify]: Extracting #5: cost 95 inf + 46550 44.140 * * [simplify]: Extracting #6: cost 4 inf + 103776 44.171 * * [simplify]: Extracting #7: cost 0 inf + 106713 44.194 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 44.194 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 44.194 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 44.194 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 44.194 * * [simplify]: iters left: 6 (13 enodes) 44.198 * * [simplify]: iters left: 5 (54 enodes) 44.208 * * [simplify]: iters left: 4 (89 enodes) 44.227 * * [simplify]: iters left: 3 (138 enodes) 44.257 * * [simplify]: iters left: 2 (235 enodes) 44.323 * * [simplify]: iters left: 1 (482 enodes) 44.563 * * [simplify]: Extracting #0: cost 1 inf + 0 44.563 * * [simplify]: Extracting #1: cost 47 inf + 0 44.564 * * [simplify]: Extracting #2: cost 151 inf + 0 44.566 * * [simplify]: Extracting #3: cost 236 inf + 3 44.568 * * [simplify]: Extracting #4: cost 233 inf + 1878 44.581 * * [simplify]: Extracting #5: cost 131 inf + 29831 44.600 * * [simplify]: Extracting #6: cost 25 inf + 106782 44.642 * * [simplify]: Extracting #7: cost 0 inf + 125615 44.687 * * [simplify]: Extracting #8: cost 0 inf + 123839 44.714 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 44.714 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 44.714 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 44.714 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) 44.714 * * [simplify]: iters left: 6 (11 enodes) 44.720 * * [simplify]: iters left: 5 (46 enodes) 44.728 * * [simplify]: iters left: 4 (77 enodes) 44.754 * * [simplify]: iters left: 3 (131 enodes) 44.802 * * [simplify]: iters left: 2 (250 enodes) 44.896 * * [simplify]: Extracting #0: cost 1 inf + 0 44.896 * * [simplify]: Extracting #1: cost 31 inf + 0 44.896 * * [simplify]: Extracting #2: cost 106 inf + 2 44.897 * * [simplify]: Extracting #3: cost 143 inf + 217 44.898 * * [simplify]: Extracting #4: cost 137 inf + 845 44.899 * * [simplify]: Extracting #5: cost 94 inf + 5732 44.903 * * [simplify]: Extracting #6: cost 46 inf + 26137 44.909 * * [simplify]: Extracting #7: cost 2 inf + 57094 44.918 * * [simplify]: Extracting #8: cost 0 inf + 57619 44.926 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 44.926 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 44.926 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 44.926 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 44.926 * * [simplify]: iters left: 6 (10 enodes) 44.929 * * [simplify]: iters left: 5 (42 enodes) 44.939 * * [simplify]: iters left: 4 (65 enodes) 44.964 * * [simplify]: iters left: 3 (104 enodes) 44.988 * * [simplify]: iters left: 2 (206 enodes) 45.035 * * [simplify]: iters left: 1 (397 enodes) 45.224 * * [simplify]: Extracting #0: cost 1 inf + 0 45.224 * * [simplify]: Extracting #1: cost 6 inf + 0 45.225 * * [simplify]: Extracting #2: cost 45 inf + 0 45.225 * * [simplify]: Extracting #3: cost 140 inf + 43 45.226 * * [simplify]: Extracting #4: cost 189 inf + 1383 45.228 * * [simplify]: Extracting #5: cost 133 inf + 9970 45.235 * * [simplify]: Extracting #6: cost 50 inf + 44951 45.250 * * [simplify]: Extracting #7: cost 0 inf + 80043 45.277 * * [simplify]: Extracting #8: cost 0 inf + 78450 45.301 * * [simplify]: Extracting #9: cost 0 inf + 77648 45.324 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 45.324 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 45.324 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 45.325 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 45.325 * * [simplify]: iters left: 6 (13 enodes) 45.332 * * [simplify]: iters left: 5 (54 enodes) 45.350 * * [simplify]: iters left: 4 (87 enodes) 45.376 * * [simplify]: iters left: 3 (129 enodes) 45.401 * * [simplify]: iters left: 2 (210 enodes) 45.443 * * [simplify]: iters left: 1 (393 enodes) 45.602 * * [simplify]: Extracting #0: cost 1 inf + 0 45.603 * * [simplify]: Extracting #1: cost 4 inf + 0 45.603 * * [simplify]: Extracting #2: cost 8 inf + 0 45.603 * * [simplify]: Extracting #3: cost 33 inf + 1 45.603 * * [simplify]: Extracting #4: cost 113 inf + 43 45.605 * * [simplify]: Extracting #5: cost 161 inf + 301 45.608 * * [simplify]: Extracting #6: cost 117 inf + 6133 45.616 * * [simplify]: Extracting #7: cost 63 inf + 19273 45.631 * * [simplify]: Extracting #8: cost 10 inf + 55308 45.641 * * [simplify]: Extracting #9: cost 0 inf + 63720 45.651 * * [simplify]: Extracting #10: cost 0 inf + 63296 45.662 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 45.662 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 45.662 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 45.662 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 45.662 * * [simplify]: iters left: 6 (13 enodes) 45.668 * * [simplify]: iters left: 5 (54 enodes) 45.684 * * [simplify]: iters left: 4 (88 enodes) 45.705 * * [simplify]: iters left: 3 (126 enodes) 45.729 * * [simplify]: iters left: 2 (206 enodes) 45.785 * * [simplify]: iters left: 1 (396 enodes) 45.972 * * [simplify]: Extracting #0: cost 1 inf + 0 45.972 * * [simplify]: Extracting #1: cost 4 inf + 0 45.972 * * [simplify]: Extracting #2: cost 9 inf + 0 45.972 * * [simplify]: Extracting #3: cost 39 inf + 1 45.973 * * [simplify]: Extracting #4: cost 129 inf + 43 45.974 * * [simplify]: Extracting #5: cost 157 inf + 592 45.982 * * [simplify]: Extracting #6: cost 102 inf + 8543 45.996 * * [simplify]: Extracting #7: cost 26 inf + 45328 46.016 * * [simplify]: Extracting #8: cost 0 inf + 67027 46.037 * * [simplify]: Extracting #9: cost 0 inf + 65553 46.058 * * [simplify]: Extracting #10: cost 0 inf + 65343 46.078 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 46.078 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 46.079 * * * * [progress]: [ 115 / 127 ] simplifiying candidate # 46.079 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 46.079 * * [simplify]: iters left: 6 (12 enodes) 46.084 * * [simplify]: iters left: 5 (51 enodes) 46.093 * * [simplify]: iters left: 4 (86 enodes) 46.108 * * [simplify]: iters left: 3 (133 enodes) 46.139 * * [simplify]: iters left: 2 (224 enodes) 46.197 * * [simplify]: iters left: 1 (420 enodes) 46.392 * * [simplify]: Extracting #0: cost 1 inf + 0 46.392 * * [simplify]: Extracting #1: cost 6 inf + 0 46.393 * * [simplify]: Extracting #2: cost 43 inf + 0 46.393 * * [simplify]: Extracting #3: cost 141 inf + 84 46.395 * * [simplify]: Extracting #4: cost 184 inf + 426 46.402 * * [simplify]: Extracting #5: cost 133 inf + 6364 46.411 * * [simplify]: Extracting #6: cost 64 inf + 29813 46.431 * * [simplify]: Extracting #7: cost 12 inf + 68347 46.458 * * [simplify]: Extracting #8: cost 0 inf + 77856 46.485 * * [simplify]: Extracting #9: cost 0 inf + 77383 46.512 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 46.512 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 46.512 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 46.512 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 46.512 * * [simplify]: iters left: 6 (13 enodes) 46.520 * * [simplify]: iters left: 5 (57 enodes) 46.539 * * [simplify]: iters left: 4 (95 enodes) 46.573 * * [simplify]: iters left: 3 (150 enodes) 46.623 * * [simplify]: iters left: 2 (262 enodes) 46.690 * * [simplify]: iters left: 1 (476 enodes) 46.896 * * [simplify]: Extracting #0: cost 1 inf + 0 46.896 * * [simplify]: Extracting #1: cost 6 inf + 0 46.896 * * [simplify]: Extracting #2: cost 41 inf + 0 46.897 * * [simplify]: Extracting #3: cost 143 inf + 84 46.899 * * [simplify]: Extracting #4: cost 204 inf + 429 46.904 * * [simplify]: Extracting #5: cost 133 inf + 12366 46.925 * * [simplify]: Extracting #6: cost 21 inf + 62820 46.942 * * [simplify]: Extracting #7: cost 0 inf + 72656 46.959 * * [simplify]: Extracting #8: cost 0 inf + 72242 46.987 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 46.987 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 46.987 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 46.987 * [simplify]: Simplifying (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))) 46.987 * * [simplify]: iters left: 6 (10 enodes) 46.990 * * [simplify]: iters left: 5 (38 enodes) 46.999 * * [simplify]: iters left: 4 (62 enodes) 47.010 * * [simplify]: iters left: 3 (104 enodes) 47.043 * * [simplify]: iters left: 2 (205 enodes) 47.102 * * [simplify]: iters left: 1 (485 enodes) 47.553 * * [simplify]: Extracting #0: cost 1 inf + 0 47.553 * * [simplify]: Extracting #1: cost 55 inf + 0 47.554 * * [simplify]: Extracting #2: cost 188 inf + 0 47.556 * * [simplify]: Extracting #3: cost 225 inf + 128 47.560 * * [simplify]: Extracting #4: cost 190 inf + 7089 47.572 * * [simplify]: Extracting #5: cost 103 inf + 56201 47.615 * * [simplify]: Extracting #6: cost 8 inf + 138344 47.661 * * [simplify]: Extracting #7: cost 0 inf + 143877 47.711 * * [simplify]: Extracting #8: cost 0 inf + 142880 47.735 * [simplify]: Simplified to (* (pow (* n (* 2 PI)) (* 1/2 k)) (sqrt k)) 47.735 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (pow (* n (* 2 PI)) (* 1/2 k)) (sqrt k)))) 47.736 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 47.736 * [simplify]: Simplifying (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 47.736 * * [simplify]: iters left: 6 (13 enodes) 47.741 * * [simplify]: iters left: 5 (51 enodes) 47.755 * * [simplify]: iters left: 4 (86 enodes) 47.769 * * [simplify]: iters left: 3 (131 enodes) 47.802 * * [simplify]: iters left: 2 (227 enodes) 47.870 * * [simplify]: iters left: 1 (479 enodes) 48.116 * * [simplify]: Extracting #0: cost 1 inf + 0 48.117 * * [simplify]: Extracting #1: cost 2 inf + 0 48.117 * * [simplify]: Extracting #2: cost 46 inf + 0 48.118 * * [simplify]: Extracting #3: cost 156 inf + 0 48.119 * * [simplify]: Extracting #4: cost 236 inf + 4 48.123 * * [simplify]: Extracting #5: cost 221 inf + 6066 48.134 * * [simplify]: Extracting #6: cost 126 inf + 46478 48.171 * * [simplify]: Extracting #7: cost 15 inf + 128031 48.202 * * [simplify]: Extracting #8: cost 0 inf + 135521 48.227 * * [simplify]: Extracting #9: cost 0 inf + 135318 48.270 * [simplify]: Simplified to (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 48.271 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 48.271 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 48.271 * [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))))) 48.272 * * [simplify]: iters left: 6 (37 enodes) 48.294 * * [simplify]: iters left: 5 (187 enodes) 48.356 * * [simplify]: iters left: 4 (488 enodes) 48.564 * * [simplify]: Extracting #0: cost 1 inf + 0 48.565 * * [simplify]: Extracting #1: cost 57 inf + 0 48.565 * * [simplify]: Extracting #2: cost 294 inf + 0 48.567 * * [simplify]: Extracting #3: cost 529 inf + 199 48.570 * * [simplify]: Extracting #4: cost 521 inf + 5092 48.582 * * [simplify]: Extracting #5: cost 310 inf + 81150 48.640 * * [simplify]: Extracting #6: cost 37 inf + 225232 48.727 * * [simplify]: Extracting #7: cost 0 inf + 247600 48.822 * * [simplify]: Extracting #8: cost 0 inf + 245527 48.893 * * [simplify]: Extracting #9: cost 0 inf + 245486 48.948 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k (log n)) (* k 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 48.948 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k (log n)) (* k 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) (sqrt k))) 48.948 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 48.949 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 48.949 * * [simplify]: iters left: 6 (15 enodes) 48.954 * * [simplify]: iters left: 5 (65 enodes) 48.967 * * [simplify]: iters left: 4 (123 enodes) 49.015 * * [simplify]: iters left: 3 (362 enodes) 49.182 * * [simplify]: Extracting #0: cost 1 inf + 0 49.183 * * [simplify]: Extracting #1: cost 37 inf + 0 49.183 * * [simplify]: Extracting #2: cost 214 inf + 1 49.184 * * [simplify]: Extracting #3: cost 359 inf + 976 49.188 * * [simplify]: Extracting #4: cost 248 inf + 22396 49.208 * * [simplify]: Extracting #5: cost 36 inf + 77801 49.234 * * [simplify]: Extracting #6: cost 1 inf + 88796 49.250 * * [simplify]: Extracting #7: cost 0 inf + 89336 49.281 * * [simplify]: Extracting #8: cost 0 inf + 89253 49.313 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 49.313 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 49.313 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 49.313 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 49.314 * * [simplify]: iters left: 6 (16 enodes) 49.324 * * [simplify]: iters left: 5 (67 enodes) 49.348 * * [simplify]: iters left: 4 (134 enodes) 49.409 * * [simplify]: iters left: 3 (407 enodes) 49.643 * * [simplify]: Extracting #0: cost 1 inf + 0 49.643 * * [simplify]: Extracting #1: cost 39 inf + 0 49.644 * * [simplify]: Extracting #2: cost 241 inf + 72 49.647 * * [simplify]: Extracting #3: cost 449 inf + 888 49.658 * * [simplify]: Extracting #4: cost 283 inf + 39118 49.695 * * [simplify]: Extracting #5: cost 24 inf + 116222 49.724 * * [simplify]: Extracting #6: cost 0 inf + 121984 49.761 * * [simplify]: Extracting #7: cost 0 inf + 121983 49.802 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 49.802 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k))) 49.802 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 49.803 * [simplify]: Simplifying (* 2 (* n PI)) 49.803 * * [simplify]: iters left: 4 (5 enodes) 49.806 * * [simplify]: iters left: 3 (19 enodes) 49.811 * * [simplify]: iters left: 2 (27 enodes) 49.820 * * [simplify]: iters left: 1 (32 enodes) 49.825 * * [simplify]: Extracting #0: cost 1 inf + 0 49.825 * * [simplify]: Extracting #1: cost 8 inf + 0 49.825 * * [simplify]: Extracting #2: cost 7 inf + 45 49.825 * * [simplify]: Extracting #3: cost 0 inf + 421 49.825 * [simplify]: Simplified to (* (* PI n) 2) 49.826 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 49.826 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 49.826 * [simplify]: Simplifying (* 2 (* n PI)) 49.826 * * [simplify]: iters left: 4 (5 enodes) 49.829 * * [simplify]: iters left: 3 (19 enodes) 49.832 * * [simplify]: iters left: 2 (27 enodes) 49.836 * * [simplify]: iters left: 1 (32 enodes) 49.840 * * [simplify]: Extracting #0: cost 1 inf + 0 49.840 * * [simplify]: Extracting #1: cost 8 inf + 0 49.840 * * [simplify]: Extracting #2: cost 7 inf + 45 49.840 * * [simplify]: Extracting #3: cost 0 inf + 421 49.840 * [simplify]: Simplified to (* (* PI n) 2) 49.840 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 49.840 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 49.840 * [simplify]: Simplifying (* 2 (* n PI)) 49.841 * * [simplify]: iters left: 4 (5 enodes) 49.842 * * [simplify]: iters left: 3 (19 enodes) 49.847 * * [simplify]: iters left: 2 (27 enodes) 49.855 * * [simplify]: iters left: 1 (32 enodes) 49.863 * * [simplify]: Extracting #0: cost 1 inf + 0 49.863 * * [simplify]: Extracting #1: cost 8 inf + 0 49.863 * * [simplify]: Extracting #2: cost 7 inf + 45 49.864 * * [simplify]: Extracting #3: cost 0 inf + 421 49.864 * [simplify]: Simplified to (* (* PI n) 2) 49.864 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 49.864 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 49.865 * [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)))))))))))))))))))))) 49.865 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 49.866 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 49.866 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 49.866 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 49.866 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 49.866 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 49.866 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 49.867 * * * [progress]: adding candidates to table 51.262 * * [progress]: iteration 2 / 4 51.262 * * * [progress]: picking best candidate 51.298 * * * * [pick]: Picked # 51.298 * * * [progress]: localizing error 51.330 * * * [progress]: generating rewritten candidates 51.330 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 51.361 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 51.370 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 51.398 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 51.436 * * * [progress]: generating series expansions 51.436 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 51.437 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 51.437 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 51.437 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 51.437 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 51.437 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 51.437 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 51.437 * [taylor]: Taking taylor expansion of 1/2 in k 51.437 * [backup-simplify]: Simplify 1/2 into 1/2 51.437 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.437 * [taylor]: Taking taylor expansion of 1 in k 51.437 * [backup-simplify]: Simplify 1 into 1 51.437 * [taylor]: Taking taylor expansion of k in k 51.437 * [backup-simplify]: Simplify 0 into 0 51.438 * [backup-simplify]: Simplify 1 into 1 51.438 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 51.438 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 51.438 * [taylor]: Taking taylor expansion of 2 in k 51.438 * [backup-simplify]: Simplify 2 into 2 51.438 * [taylor]: Taking taylor expansion of (* n PI) in k 51.438 * [taylor]: Taking taylor expansion of n in k 51.438 * [backup-simplify]: Simplify n into n 51.438 * [taylor]: Taking taylor expansion of PI in k 51.438 * [backup-simplify]: Simplify PI into PI 51.438 * [backup-simplify]: Simplify (* n PI) into (* n PI) 51.438 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 51.438 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 51.438 * [backup-simplify]: Simplify (- 0) into 0 51.439 * [backup-simplify]: Simplify (+ 1 0) into 1 51.439 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 51.439 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 51.440 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 51.440 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 51.440 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 51.440 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 51.440 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 51.440 * [taylor]: Taking taylor expansion of 1/2 in n 51.440 * [backup-simplify]: Simplify 1/2 into 1/2 51.440 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.440 * [taylor]: Taking taylor expansion of 1 in n 51.440 * [backup-simplify]: Simplify 1 into 1 51.440 * [taylor]: Taking taylor expansion of k in n 51.440 * [backup-simplify]: Simplify k into k 51.440 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.440 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.440 * [taylor]: Taking taylor expansion of 2 in n 51.440 * [backup-simplify]: Simplify 2 into 2 51.440 * [taylor]: Taking taylor expansion of (* n PI) in n 51.440 * [taylor]: Taking taylor expansion of n in n 51.440 * [backup-simplify]: Simplify 0 into 0 51.440 * [backup-simplify]: Simplify 1 into 1 51.440 * [taylor]: Taking taylor expansion of PI in n 51.440 * [backup-simplify]: Simplify PI into PI 51.441 * [backup-simplify]: Simplify (* 0 PI) into 0 51.441 * [backup-simplify]: Simplify (* 2 0) into 0 51.443 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.444 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.445 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.445 * [backup-simplify]: Simplify (- k) into (- k) 51.445 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.446 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 51.447 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.448 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.449 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.449 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 51.449 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 51.449 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 51.449 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 51.449 * [taylor]: Taking taylor expansion of 1/2 in n 51.449 * [backup-simplify]: Simplify 1/2 into 1/2 51.449 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.449 * [taylor]: Taking taylor expansion of 1 in n 51.449 * [backup-simplify]: Simplify 1 into 1 51.449 * [taylor]: Taking taylor expansion of k in n 51.449 * [backup-simplify]: Simplify k into k 51.449 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.449 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.449 * [taylor]: Taking taylor expansion of 2 in n 51.449 * [backup-simplify]: Simplify 2 into 2 51.449 * [taylor]: Taking taylor expansion of (* n PI) in n 51.449 * [taylor]: Taking taylor expansion of n in n 51.449 * [backup-simplify]: Simplify 0 into 0 51.449 * [backup-simplify]: Simplify 1 into 1 51.449 * [taylor]: Taking taylor expansion of PI in n 51.449 * [backup-simplify]: Simplify PI into PI 51.450 * [backup-simplify]: Simplify (* 0 PI) into 0 51.450 * [backup-simplify]: Simplify (* 2 0) into 0 51.452 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.453 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.454 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.454 * [backup-simplify]: Simplify (- k) into (- k) 51.454 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.454 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 51.456 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.457 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.458 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.458 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 51.458 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 51.458 * [taylor]: Taking taylor expansion of 1/2 in k 51.458 * [backup-simplify]: Simplify 1/2 into 1/2 51.458 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 51.458 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.458 * [taylor]: Taking taylor expansion of 1 in k 51.458 * [backup-simplify]: Simplify 1 into 1 51.458 * [taylor]: Taking taylor expansion of k in k 51.458 * [backup-simplify]: Simplify 0 into 0 51.458 * [backup-simplify]: Simplify 1 into 1 51.458 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 51.458 * [taylor]: Taking taylor expansion of (log n) in k 51.458 * [taylor]: Taking taylor expansion of n in k 51.458 * [backup-simplify]: Simplify n into n 51.458 * [backup-simplify]: Simplify (log n) into (log n) 51.458 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 51.458 * [taylor]: Taking taylor expansion of (* 2 PI) in k 51.458 * [taylor]: Taking taylor expansion of 2 in k 51.458 * [backup-simplify]: Simplify 2 into 2 51.458 * [taylor]: Taking taylor expansion of PI in k 51.458 * [backup-simplify]: Simplify PI into PI 51.459 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.460 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.460 * [backup-simplify]: Simplify (- 0) into 0 51.461 * [backup-simplify]: Simplify (+ 1 0) into 1 51.462 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.463 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 51.464 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 51.465 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 51.466 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 51.467 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 51.468 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 51.469 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.470 * [backup-simplify]: Simplify (- 0) into 0 51.470 * [backup-simplify]: Simplify (+ 0 0) into 0 51.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 51.473 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.474 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 51.476 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.476 * [taylor]: Taking taylor expansion of 0 in k 51.476 * [backup-simplify]: Simplify 0 into 0 51.476 * [backup-simplify]: Simplify 0 into 0 51.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 51.477 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.479 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.479 * [backup-simplify]: Simplify (+ 0 0) into 0 51.480 * [backup-simplify]: Simplify (- 1) into -1 51.480 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.482 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 51.484 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 51.486 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 51.489 * [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))))))) 51.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 51.491 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 51.495 * [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 51.495 * [backup-simplify]: Simplify (- 0) into 0 51.496 * [backup-simplify]: Simplify (+ 0 0) into 0 51.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 51.498 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.499 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.501 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.501 * [taylor]: Taking taylor expansion of 0 in k 51.502 * [backup-simplify]: Simplify 0 into 0 51.502 * [backup-simplify]: Simplify 0 into 0 51.502 * [backup-simplify]: Simplify 0 into 0 51.503 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 51.504 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.508 * [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 51.508 * [backup-simplify]: Simplify (+ 0 0) into 0 51.508 * [backup-simplify]: Simplify (- 0) into 0 51.509 * [backup-simplify]: Simplify (+ 0 0) into 0 51.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.521 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 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))))) 51.526 * [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))))) 51.535 * [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))))) 51.535 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 51.535 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 51.535 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 51.535 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 51.535 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 51.535 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 51.535 * [taylor]: Taking taylor expansion of 1/2 in k 51.536 * [backup-simplify]: Simplify 1/2 into 1/2 51.536 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 51.536 * [taylor]: Taking taylor expansion of 1 in k 51.536 * [backup-simplify]: Simplify 1 into 1 51.536 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.536 * [taylor]: Taking taylor expansion of k in k 51.536 * [backup-simplify]: Simplify 0 into 0 51.536 * [backup-simplify]: Simplify 1 into 1 51.536 * [backup-simplify]: Simplify (/ 1 1) into 1 51.536 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 51.536 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 51.536 * [taylor]: Taking taylor expansion of 2 in k 51.536 * [backup-simplify]: Simplify 2 into 2 51.536 * [taylor]: Taking taylor expansion of (/ PI n) in k 51.536 * [taylor]: Taking taylor expansion of PI in k 51.536 * [backup-simplify]: Simplify PI into PI 51.536 * [taylor]: Taking taylor expansion of n in k 51.536 * [backup-simplify]: Simplify n into n 51.536 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 51.536 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 51.537 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 51.537 * [backup-simplify]: Simplify (- 1) into -1 51.537 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.538 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 51.538 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 51.538 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 51.538 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 51.538 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 51.538 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 51.538 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 51.538 * [taylor]: Taking taylor expansion of 1/2 in n 51.538 * [backup-simplify]: Simplify 1/2 into 1/2 51.538 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 51.538 * [taylor]: Taking taylor expansion of 1 in n 51.538 * [backup-simplify]: Simplify 1 into 1 51.538 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.538 * [taylor]: Taking taylor expansion of k in n 51.538 * [backup-simplify]: Simplify k into k 51.538 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.538 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 51.538 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.538 * [taylor]: Taking taylor expansion of 2 in n 51.539 * [backup-simplify]: Simplify 2 into 2 51.539 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.539 * [taylor]: Taking taylor expansion of PI in n 51.539 * [backup-simplify]: Simplify PI into PI 51.539 * [taylor]: Taking taylor expansion of n in n 51.539 * [backup-simplify]: Simplify 0 into 0 51.539 * [backup-simplify]: Simplify 1 into 1 51.539 * [backup-simplify]: Simplify (/ PI 1) into PI 51.540 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.540 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.541 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 51.541 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 51.541 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 51.542 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.543 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 51.544 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 51.544 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 51.544 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 51.544 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 51.544 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 51.544 * [taylor]: Taking taylor expansion of 1/2 in n 51.544 * [backup-simplify]: Simplify 1/2 into 1/2 51.544 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 51.544 * [taylor]: Taking taylor expansion of 1 in n 51.544 * [backup-simplify]: Simplify 1 into 1 51.544 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.544 * [taylor]: Taking taylor expansion of k in n 51.545 * [backup-simplify]: Simplify k into k 51.545 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.545 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 51.545 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.545 * [taylor]: Taking taylor expansion of 2 in n 51.545 * [backup-simplify]: Simplify 2 into 2 51.545 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.545 * [taylor]: Taking taylor expansion of PI in n 51.545 * [backup-simplify]: Simplify PI into PI 51.545 * [taylor]: Taking taylor expansion of n in n 51.545 * [backup-simplify]: Simplify 0 into 0 51.545 * [backup-simplify]: Simplify 1 into 1 51.545 * [backup-simplify]: Simplify (/ PI 1) into PI 51.546 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.547 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.547 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 51.547 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 51.547 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 51.548 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.549 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 51.550 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 51.550 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 51.550 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 51.551 * [taylor]: Taking taylor expansion of 1/2 in k 51.551 * [backup-simplify]: Simplify 1/2 into 1/2 51.551 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 51.551 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 51.551 * [taylor]: Taking taylor expansion of 1 in k 51.551 * [backup-simplify]: Simplify 1 into 1 51.551 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.551 * [taylor]: Taking taylor expansion of k in k 51.551 * [backup-simplify]: Simplify 0 into 0 51.551 * [backup-simplify]: Simplify 1 into 1 51.551 * [backup-simplify]: Simplify (/ 1 1) into 1 51.551 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 51.551 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 51.551 * [taylor]: Taking taylor expansion of (* 2 PI) in k 51.551 * [taylor]: Taking taylor expansion of 2 in k 51.551 * [backup-simplify]: Simplify 2 into 2 51.551 * [taylor]: Taking taylor expansion of PI in k 51.551 * [backup-simplify]: Simplify PI into PI 51.552 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.553 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.553 * [taylor]: Taking taylor expansion of (log n) in k 51.553 * [taylor]: Taking taylor expansion of n in k 51.553 * [backup-simplify]: Simplify n into n 51.553 * [backup-simplify]: Simplify (log n) into (log n) 51.553 * [backup-simplify]: Simplify (- 1) into -1 51.554 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.554 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 51.555 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 51.556 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 51.557 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 51.558 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 51.559 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 51.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.561 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.563 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.563 * [backup-simplify]: Simplify (- 0) into 0 51.563 * [backup-simplify]: Simplify (+ 0 0) into 0 51.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 51.565 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.566 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 51.568 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.568 * [taylor]: Taking taylor expansion of 0 in k 51.568 * [backup-simplify]: Simplify 0 into 0 51.568 * [backup-simplify]: Simplify 0 into 0 51.568 * [backup-simplify]: Simplify 0 into 0 51.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.570 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.574 * [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 51.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.574 * [backup-simplify]: Simplify (- 0) into 0 51.574 * [backup-simplify]: Simplify (+ 0 0) into 0 51.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 51.577 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.578 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 51.580 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.581 * [taylor]: Taking taylor expansion of 0 in k 51.581 * [backup-simplify]: Simplify 0 into 0 51.581 * [backup-simplify]: Simplify 0 into 0 51.581 * [backup-simplify]: Simplify 0 into 0 51.581 * [backup-simplify]: Simplify 0 into 0 51.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.583 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.588 * [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 51.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.589 * [backup-simplify]: Simplify (- 0) into 0 51.590 * [backup-simplify]: Simplify (+ 0 0) into 0 51.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 51.592 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.594 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 51.597 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 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 51.597 * [taylor]: Taking taylor expansion of 0 in k 51.597 * [backup-simplify]: Simplify 0 into 0 51.597 * [backup-simplify]: Simplify 0 into 0 51.598 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 51.599 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 51.599 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 51.599 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 51.599 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 51.599 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 51.599 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 51.599 * [taylor]: Taking taylor expansion of 1/2 in k 51.599 * [backup-simplify]: Simplify 1/2 into 1/2 51.599 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 51.599 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.599 * [taylor]: Taking taylor expansion of k in k 51.599 * [backup-simplify]: Simplify 0 into 0 51.599 * [backup-simplify]: Simplify 1 into 1 51.600 * [backup-simplify]: Simplify (/ 1 1) into 1 51.600 * [taylor]: Taking taylor expansion of 1 in k 51.600 * [backup-simplify]: Simplify 1 into 1 51.600 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 51.600 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 51.600 * [taylor]: Taking taylor expansion of -2 in k 51.600 * [backup-simplify]: Simplify -2 into -2 51.600 * [taylor]: Taking taylor expansion of (/ PI n) in k 51.600 * [taylor]: Taking taylor expansion of PI in k 51.600 * [backup-simplify]: Simplify PI into PI 51.600 * [taylor]: Taking taylor expansion of n in k 51.600 * [backup-simplify]: Simplify n into n 51.600 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 51.600 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 51.600 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 51.601 * [backup-simplify]: Simplify (+ 1 0) into 1 51.601 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 51.601 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 51.601 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 51.601 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 51.601 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 51.601 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 51.602 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 51.602 * [taylor]: Taking taylor expansion of 1/2 in n 51.602 * [backup-simplify]: Simplify 1/2 into 1/2 51.602 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 51.602 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.602 * [taylor]: Taking taylor expansion of k in n 51.602 * [backup-simplify]: Simplify k into k 51.602 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.602 * [taylor]: Taking taylor expansion of 1 in n 51.602 * [backup-simplify]: Simplify 1 into 1 51.602 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 51.602 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.602 * [taylor]: Taking taylor expansion of -2 in n 51.602 * [backup-simplify]: Simplify -2 into -2 51.602 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.602 * [taylor]: Taking taylor expansion of PI in n 51.602 * [backup-simplify]: Simplify PI into PI 51.602 * [taylor]: Taking taylor expansion of n in n 51.602 * [backup-simplify]: Simplify 0 into 0 51.602 * [backup-simplify]: Simplify 1 into 1 51.603 * [backup-simplify]: Simplify (/ PI 1) into PI 51.603 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.604 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.604 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 51.604 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 51.606 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.607 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 51.608 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 51.608 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 51.608 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 51.608 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 51.608 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 51.608 * [taylor]: Taking taylor expansion of 1/2 in n 51.608 * [backup-simplify]: Simplify 1/2 into 1/2 51.608 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 51.608 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.608 * [taylor]: Taking taylor expansion of k in n 51.608 * [backup-simplify]: Simplify k into k 51.608 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.608 * [taylor]: Taking taylor expansion of 1 in n 51.608 * [backup-simplify]: Simplify 1 into 1 51.608 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 51.608 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.608 * [taylor]: Taking taylor expansion of -2 in n 51.608 * [backup-simplify]: Simplify -2 into -2 51.608 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.608 * [taylor]: Taking taylor expansion of PI in n 51.608 * [backup-simplify]: Simplify PI into PI 51.608 * [taylor]: Taking taylor expansion of n in n 51.608 * [backup-simplify]: Simplify 0 into 0 51.608 * [backup-simplify]: Simplify 1 into 1 51.609 * [backup-simplify]: Simplify (/ PI 1) into PI 51.609 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.610 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.610 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 51.610 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 51.612 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.613 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 51.614 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 51.614 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 51.614 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 51.614 * [taylor]: Taking taylor expansion of 1/2 in k 51.614 * [backup-simplify]: Simplify 1/2 into 1/2 51.614 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 51.614 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 51.615 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.615 * [taylor]: Taking taylor expansion of k in k 51.615 * [backup-simplify]: Simplify 0 into 0 51.615 * [backup-simplify]: Simplify 1 into 1 51.615 * [backup-simplify]: Simplify (/ 1 1) into 1 51.615 * [taylor]: Taking taylor expansion of 1 in k 51.615 * [backup-simplify]: Simplify 1 into 1 51.615 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 51.615 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 51.615 * [taylor]: Taking taylor expansion of (* -2 PI) in k 51.615 * [taylor]: Taking taylor expansion of -2 in k 51.615 * [backup-simplify]: Simplify -2 into -2 51.615 * [taylor]: Taking taylor expansion of PI in k 51.615 * [backup-simplify]: Simplify PI into PI 51.616 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.617 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.617 * [taylor]: Taking taylor expansion of (log n) in k 51.617 * [taylor]: Taking taylor expansion of n in k 51.617 * [backup-simplify]: Simplify n into n 51.617 * [backup-simplify]: Simplify (log n) into (log n) 51.617 * [backup-simplify]: Simplify (+ 1 0) into 1 51.617 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 51.618 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 51.619 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 51.620 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 51.621 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 51.623 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 51.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.624 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 51.626 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 51.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.627 * [backup-simplify]: Simplify (+ 0 0) into 0 51.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 51.629 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.630 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 51.632 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.632 * [taylor]: Taking taylor expansion of 0 in k 51.632 * [backup-simplify]: Simplify 0 into 0 51.632 * [backup-simplify]: Simplify 0 into 0 51.632 * [backup-simplify]: Simplify 0 into 0 51.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.634 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 51.637 * [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 51.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.638 * [backup-simplify]: Simplify (+ 0 0) into 0 51.639 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 51.641 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.643 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 51.645 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.646 * [taylor]: Taking taylor expansion of 0 in k 51.646 * [backup-simplify]: Simplify 0 into 0 51.646 * [backup-simplify]: Simplify 0 into 0 51.646 * [backup-simplify]: Simplify 0 into 0 51.646 * [backup-simplify]: Simplify 0 into 0 51.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.648 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.654 * [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 51.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.655 * [backup-simplify]: Simplify (+ 0 0) into 0 51.656 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 51.658 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.665 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 51.668 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 51.668 * [taylor]: Taking taylor expansion of 0 in k 51.668 * [backup-simplify]: Simplify 0 into 0 51.668 * [backup-simplify]: Simplify 0 into 0 51.669 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 51.669 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 51.669 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 51.669 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 51.669 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 51.669 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.670 * [taylor]: Taking taylor expansion of k in k 51.670 * [backup-simplify]: Simplify 0 into 0 51.670 * [backup-simplify]: Simplify 1 into 1 51.670 * [backup-simplify]: Simplify (/ 1 1) into 1 51.670 * [backup-simplify]: Simplify (sqrt 0) into 0 51.672 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 51.672 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 51.672 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.672 * [taylor]: Taking taylor expansion of k in k 51.672 * [backup-simplify]: Simplify 0 into 0 51.672 * [backup-simplify]: Simplify 1 into 1 51.672 * [backup-simplify]: Simplify (/ 1 1) into 1 51.673 * [backup-simplify]: Simplify (sqrt 0) into 0 51.674 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 51.674 * [backup-simplify]: Simplify 0 into 0 51.674 * [backup-simplify]: Simplify +nan.0 into +nan.0 51.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 51.678 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 51.678 * [backup-simplify]: Simplify +nan.0 into +nan.0 51.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 51.683 * [backup-simplify]: Simplify +nan.0 into +nan.0 51.683 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 51.684 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 51.684 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 51.684 * [taylor]: Taking taylor expansion of (sqrt k) in k 51.684 * [taylor]: Taking taylor expansion of k in k 51.684 * [backup-simplify]: Simplify 0 into 0 51.684 * [backup-simplify]: Simplify 1 into 1 51.684 * [backup-simplify]: Simplify (sqrt 0) into 0 51.685 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 51.685 * [taylor]: Taking taylor expansion of (sqrt k) in k 51.685 * [taylor]: Taking taylor expansion of k in k 51.685 * [backup-simplify]: Simplify 0 into 0 51.685 * [backup-simplify]: Simplify 1 into 1 51.686 * [backup-simplify]: Simplify (sqrt 0) into 0 51.687 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 51.687 * [backup-simplify]: Simplify 0 into 0 51.687 * [backup-simplify]: Simplify +nan.0 into +nan.0 51.690 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 51.690 * [backup-simplify]: Simplify +nan.0 into +nan.0 51.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 51.694 * [backup-simplify]: Simplify +nan.0 into +nan.0 51.695 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 51.695 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 51.695 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 51.695 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 51.695 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 51.695 * [taylor]: Taking taylor expansion of (/ -1 k) in k 51.695 * [taylor]: Taking taylor expansion of -1 in k 51.695 * [backup-simplify]: Simplify -1 into -1 51.695 * [taylor]: Taking taylor expansion of k in k 51.695 * [backup-simplify]: Simplify 0 into 0 51.695 * [backup-simplify]: Simplify 1 into 1 51.695 * [backup-simplify]: Simplify (/ -1 1) into -1 51.696 * [backup-simplify]: Simplify (sqrt 0) into 0 51.697 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 51.698 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 51.698 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 51.698 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 51.698 * [taylor]: Taking taylor expansion of (/ -1 k) in k 51.698 * [taylor]: Taking taylor expansion of -1 in k 51.698 * [backup-simplify]: Simplify -1 into -1 51.698 * [taylor]: Taking taylor expansion of k in k 51.698 * [backup-simplify]: Simplify 0 into 0 51.698 * [backup-simplify]: Simplify 1 into 1 51.698 * [backup-simplify]: Simplify (/ -1 1) into -1 51.699 * [backup-simplify]: Simplify (sqrt 0) into 0 51.700 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 51.700 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 51.700 * [backup-simplify]: Simplify +nan.0 into +nan.0 51.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 51.704 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 51.706 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 51.706 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 51.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.711 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 51.715 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 51.715 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 51.716 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 51.717 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 51.717 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 51.717 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 51.717 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.717 * [taylor]: Taking taylor expansion of 2 in n 51.717 * [backup-simplify]: Simplify 2 into 2 51.717 * [taylor]: Taking taylor expansion of (* n PI) in n 51.717 * [taylor]: Taking taylor expansion of n in n 51.717 * [backup-simplify]: Simplify 0 into 0 51.717 * [backup-simplify]: Simplify 1 into 1 51.717 * [taylor]: Taking taylor expansion of PI in n 51.717 * [backup-simplify]: Simplify PI into PI 51.717 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.717 * [taylor]: Taking taylor expansion of 2 in n 51.717 * [backup-simplify]: Simplify 2 into 2 51.718 * [taylor]: Taking taylor expansion of (* n PI) in n 51.718 * [taylor]: Taking taylor expansion of n in n 51.718 * [backup-simplify]: Simplify 0 into 0 51.718 * [backup-simplify]: Simplify 1 into 1 51.718 * [taylor]: Taking taylor expansion of PI in n 51.718 * [backup-simplify]: Simplify PI into PI 51.718 * [backup-simplify]: Simplify (* 0 PI) into 0 51.719 * [backup-simplify]: Simplify (* 2 0) into 0 51.719 * [backup-simplify]: Simplify 0 into 0 51.721 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.722 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.723 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 51.725 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 51.725 * [backup-simplify]: Simplify 0 into 0 51.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 51.728 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 51.728 * [backup-simplify]: Simplify 0 into 0 51.730 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 51.731 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 51.731 * [backup-simplify]: Simplify 0 into 0 51.732 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 51.733 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 51.733 * [backup-simplify]: Simplify 0 into 0 51.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 51.734 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 51.734 * [backup-simplify]: Simplify 0 into 0 51.735 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 51.736 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 51.736 * [backup-simplify]: Simplify 0 into 0 51.737 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 51.737 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 51.737 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 51.737 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.737 * [taylor]: Taking taylor expansion of 2 in n 51.737 * [backup-simplify]: Simplify 2 into 2 51.737 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.737 * [taylor]: Taking taylor expansion of PI in n 51.737 * [backup-simplify]: Simplify PI into PI 51.737 * [taylor]: Taking taylor expansion of n in n 51.737 * [backup-simplify]: Simplify 0 into 0 51.737 * [backup-simplify]: Simplify 1 into 1 51.738 * [backup-simplify]: Simplify (/ PI 1) into PI 51.738 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.738 * [taylor]: Taking taylor expansion of 2 in n 51.738 * [backup-simplify]: Simplify 2 into 2 51.738 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.738 * [taylor]: Taking taylor expansion of PI in n 51.738 * [backup-simplify]: Simplify PI into PI 51.738 * [taylor]: Taking taylor expansion of n in n 51.738 * [backup-simplify]: Simplify 0 into 0 51.738 * [backup-simplify]: Simplify 1 into 1 51.738 * [backup-simplify]: Simplify (/ PI 1) into PI 51.738 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.739 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.739 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.740 * [backup-simplify]: Simplify 0 into 0 51.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.741 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.741 * [backup-simplify]: Simplify 0 into 0 51.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.742 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.742 * [backup-simplify]: Simplify 0 into 0 51.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.743 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 51.743 * [backup-simplify]: Simplify 0 into 0 51.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.745 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 51.745 * [backup-simplify]: Simplify 0 into 0 51.745 * [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 51.746 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 51.746 * [backup-simplify]: Simplify 0 into 0 51.747 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 51.747 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 51.747 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 51.747 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.747 * [taylor]: Taking taylor expansion of -2 in n 51.747 * [backup-simplify]: Simplify -2 into -2 51.747 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.747 * [taylor]: Taking taylor expansion of PI in n 51.747 * [backup-simplify]: Simplify PI into PI 51.747 * [taylor]: Taking taylor expansion of n in n 51.747 * [backup-simplify]: Simplify 0 into 0 51.747 * [backup-simplify]: Simplify 1 into 1 51.747 * [backup-simplify]: Simplify (/ PI 1) into PI 51.747 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.747 * [taylor]: Taking taylor expansion of -2 in n 51.747 * [backup-simplify]: Simplify -2 into -2 51.747 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.747 * [taylor]: Taking taylor expansion of PI in n 51.747 * [backup-simplify]: Simplify PI into PI 51.747 * [taylor]: Taking taylor expansion of n in n 51.747 * [backup-simplify]: Simplify 0 into 0 51.747 * [backup-simplify]: Simplify 1 into 1 51.748 * [backup-simplify]: Simplify (/ PI 1) into PI 51.748 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.748 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.749 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 51.749 * [backup-simplify]: Simplify 0 into 0 51.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.750 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 51.750 * [backup-simplify]: Simplify 0 into 0 51.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.752 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.752 * [backup-simplify]: Simplify 0 into 0 51.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.753 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 51.753 * [backup-simplify]: Simplify 0 into 0 51.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.754 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 51.755 * [backup-simplify]: Simplify 0 into 0 51.755 * [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 51.756 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 51.756 * [backup-simplify]: Simplify 0 into 0 51.756 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 51.756 * * * * [progress]: [ 4 / 4 ] generating series at (2) 51.757 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 51.757 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 51.757 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 51.757 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 51.757 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 51.757 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 51.757 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 51.757 * [taylor]: Taking taylor expansion of 1/2 in n 51.757 * [backup-simplify]: Simplify 1/2 into 1/2 51.757 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.757 * [taylor]: Taking taylor expansion of 1 in n 51.757 * [backup-simplify]: Simplify 1 into 1 51.757 * [taylor]: Taking taylor expansion of k in n 51.757 * [backup-simplify]: Simplify k into k 51.757 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.757 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.757 * [taylor]: Taking taylor expansion of 2 in n 51.757 * [backup-simplify]: Simplify 2 into 2 51.757 * [taylor]: Taking taylor expansion of (* n PI) in n 51.757 * [taylor]: Taking taylor expansion of n in n 51.757 * [backup-simplify]: Simplify 0 into 0 51.757 * [backup-simplify]: Simplify 1 into 1 51.757 * [taylor]: Taking taylor expansion of PI in n 51.757 * [backup-simplify]: Simplify PI into PI 51.758 * [backup-simplify]: Simplify (* 0 PI) into 0 51.758 * [backup-simplify]: Simplify (* 2 0) into 0 51.759 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.760 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.761 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.761 * [backup-simplify]: Simplify (- k) into (- k) 51.762 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.762 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 51.763 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.763 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.764 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.764 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 51.764 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.764 * [taylor]: Taking taylor expansion of k in n 51.764 * [backup-simplify]: Simplify k into k 51.764 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.764 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 51.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 51.764 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 51.764 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 51.764 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 51.764 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 51.764 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 51.764 * [taylor]: Taking taylor expansion of 1/2 in k 51.764 * [backup-simplify]: Simplify 1/2 into 1/2 51.764 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.764 * [taylor]: Taking taylor expansion of 1 in k 51.764 * [backup-simplify]: Simplify 1 into 1 51.764 * [taylor]: Taking taylor expansion of k in k 51.764 * [backup-simplify]: Simplify 0 into 0 51.765 * [backup-simplify]: Simplify 1 into 1 51.765 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 51.765 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 51.765 * [taylor]: Taking taylor expansion of 2 in k 51.765 * [backup-simplify]: Simplify 2 into 2 51.765 * [taylor]: Taking taylor expansion of (* n PI) in k 51.765 * [taylor]: Taking taylor expansion of n in k 51.765 * [backup-simplify]: Simplify n into n 51.765 * [taylor]: Taking taylor expansion of PI in k 51.765 * [backup-simplify]: Simplify PI into PI 51.765 * [backup-simplify]: Simplify (* n PI) into (* n PI) 51.765 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 51.765 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 51.765 * [backup-simplify]: Simplify (- 0) into 0 51.765 * [backup-simplify]: Simplify (+ 1 0) into 1 51.766 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 51.766 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 51.766 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 51.766 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 51.766 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.766 * [taylor]: Taking taylor expansion of k in k 51.766 * [backup-simplify]: Simplify 0 into 0 51.766 * [backup-simplify]: Simplify 1 into 1 51.766 * [backup-simplify]: Simplify (/ 1 1) into 1 51.766 * [backup-simplify]: Simplify (sqrt 0) into 0 51.767 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 51.767 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 51.767 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 51.767 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 51.767 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 51.767 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 51.767 * [taylor]: Taking taylor expansion of 1/2 in k 51.767 * [backup-simplify]: Simplify 1/2 into 1/2 51.767 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.767 * [taylor]: Taking taylor expansion of 1 in k 51.767 * [backup-simplify]: Simplify 1 into 1 51.767 * [taylor]: Taking taylor expansion of k in k 51.767 * [backup-simplify]: Simplify 0 into 0 51.767 * [backup-simplify]: Simplify 1 into 1 51.767 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 51.767 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 51.767 * [taylor]: Taking taylor expansion of 2 in k 51.767 * [backup-simplify]: Simplify 2 into 2 51.767 * [taylor]: Taking taylor expansion of (* n PI) in k 51.767 * [taylor]: Taking taylor expansion of n in k 51.767 * [backup-simplify]: Simplify n into n 51.767 * [taylor]: Taking taylor expansion of PI in k 51.767 * [backup-simplify]: Simplify PI into PI 51.768 * [backup-simplify]: Simplify (* n PI) into (* n PI) 51.768 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 51.768 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 51.768 * [backup-simplify]: Simplify (- 0) into 0 51.768 * [backup-simplify]: Simplify (+ 1 0) into 1 51.768 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 51.768 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 51.768 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 51.769 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 51.769 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.769 * [taylor]: Taking taylor expansion of k in k 51.769 * [backup-simplify]: Simplify 0 into 0 51.769 * [backup-simplify]: Simplify 1 into 1 51.769 * [backup-simplify]: Simplify (/ 1 1) into 1 51.769 * [backup-simplify]: Simplify (sqrt 0) into 0 51.770 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 51.770 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 51.770 * [taylor]: Taking taylor expansion of 0 in n 51.770 * [backup-simplify]: Simplify 0 into 0 51.770 * [backup-simplify]: Simplify 0 into 0 51.770 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 51.771 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 51.771 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 51.771 * [backup-simplify]: Simplify (- 1) into -1 51.772 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.772 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 51.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 51.773 * [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))))) 51.773 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 51.773 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 51.773 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 51.773 * [taylor]: Taking taylor expansion of +nan.0 in n 51.773 * [backup-simplify]: Simplify +nan.0 into +nan.0 51.773 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 51.773 * [taylor]: Taking taylor expansion of (sqrt 2) in n 51.773 * [taylor]: Taking taylor expansion of 2 in n 51.773 * [backup-simplify]: Simplify 2 into 2 51.773 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 51.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 51.774 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 51.774 * [taylor]: Taking taylor expansion of (* n PI) in n 51.774 * [taylor]: Taking taylor expansion of n in n 51.774 * [backup-simplify]: Simplify 0 into 0 51.774 * [backup-simplify]: Simplify 1 into 1 51.774 * [taylor]: Taking taylor expansion of PI in n 51.774 * [backup-simplify]: Simplify PI into PI 51.774 * [backup-simplify]: Simplify (* 0 PI) into 0 51.775 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.775 * [backup-simplify]: Simplify (sqrt 0) into 0 51.776 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 51.776 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 51.777 * [backup-simplify]: Simplify (* +nan.0 0) into 0 51.777 * [backup-simplify]: Simplify (- 0) into 0 51.777 * [backup-simplify]: Simplify 0 into 0 51.777 * [backup-simplify]: Simplify 0 into 0 51.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 51.783 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 51.784 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 51.784 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 51.785 * [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 51.786 * [backup-simplify]: Simplify (- 0) into 0 51.786 * [backup-simplify]: Simplify (+ 0 0) into 0 51.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 51.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 51.788 * [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))) 51.788 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 51.788 * [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 51.788 * [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 51.788 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 51.788 * [taylor]: Taking taylor expansion of +nan.0 in n 51.788 * [backup-simplify]: Simplify +nan.0 into +nan.0 51.788 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 51.788 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 51.788 * [taylor]: Taking taylor expansion of (sqrt 2) in n 51.788 * [taylor]: Taking taylor expansion of 2 in n 51.788 * [backup-simplify]: Simplify 2 into 2 51.789 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 51.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 51.789 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.789 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.789 * [taylor]: Taking taylor expansion of 2 in n 51.789 * [backup-simplify]: Simplify 2 into 2 51.789 * [taylor]: Taking taylor expansion of (* n PI) in n 51.789 * [taylor]: Taking taylor expansion of n in n 51.789 * [backup-simplify]: Simplify 0 into 0 51.789 * [backup-simplify]: Simplify 1 into 1 51.789 * [taylor]: Taking taylor expansion of PI in n 51.789 * [backup-simplify]: Simplify PI into PI 51.789 * [backup-simplify]: Simplify (* 0 PI) into 0 51.790 * [backup-simplify]: Simplify (* 2 0) into 0 51.791 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.792 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.793 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.793 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 51.793 * [taylor]: Taking taylor expansion of (* n PI) in n 51.793 * [taylor]: Taking taylor expansion of n in n 51.793 * [backup-simplify]: Simplify 0 into 0 51.793 * [backup-simplify]: Simplify 1 into 1 51.793 * [taylor]: Taking taylor expansion of PI in n 51.793 * [backup-simplify]: Simplify PI into PI 51.794 * [backup-simplify]: Simplify (* 0 PI) into 0 51.795 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.796 * [backup-simplify]: Simplify (sqrt 0) into 0 51.797 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 51.797 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 51.797 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 51.797 * [taylor]: Taking taylor expansion of +nan.0 in n 51.797 * [backup-simplify]: Simplify +nan.0 into +nan.0 51.797 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 51.797 * [taylor]: Taking taylor expansion of (sqrt 2) in n 51.797 * [taylor]: Taking taylor expansion of 2 in n 51.797 * [backup-simplify]: Simplify 2 into 2 51.798 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 51.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 51.798 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 51.798 * [taylor]: Taking taylor expansion of (* n PI) in n 51.798 * [taylor]: Taking taylor expansion of n in n 51.798 * [backup-simplify]: Simplify 0 into 0 51.798 * [backup-simplify]: Simplify 1 into 1 51.798 * [taylor]: Taking taylor expansion of PI in n 51.798 * [backup-simplify]: Simplify PI into PI 51.799 * [backup-simplify]: Simplify (* 0 PI) into 0 51.800 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.801 * [backup-simplify]: Simplify (sqrt 0) into 0 51.802 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 51.803 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.805 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 51.806 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 51.806 * [backup-simplify]: Simplify (* +nan.0 0) into 0 51.807 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 51.807 * [backup-simplify]: Simplify (* +nan.0 0) into 0 51.808 * [backup-simplify]: Simplify (- 0) into 0 51.808 * [backup-simplify]: Simplify (+ 0 0) into 0 51.808 * [backup-simplify]: Simplify (- 0) into 0 51.808 * [backup-simplify]: Simplify 0 into 0 51.811 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 51.817 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 51.820 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 51.823 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 51.823 * [backup-simplify]: Simplify 0 into 0 51.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 51.829 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.830 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 51.833 * [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 51.833 * [backup-simplify]: Simplify (- 0) into 0 51.834 * [backup-simplify]: Simplify (+ 0 0) into 0 51.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 51.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 51.838 * [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))) 51.839 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) 51.839 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n 51.839 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n 51.839 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 51.839 * [taylor]: Taking taylor expansion of +nan.0 in n 51.839 * [backup-simplify]: Simplify +nan.0 into +nan.0 51.839 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 51.839 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 51.839 * [taylor]: Taking taylor expansion of (sqrt 2) in n 51.840 * [taylor]: Taking taylor expansion of 2 in n 51.840 * [backup-simplify]: Simplify 2 into 2 51.840 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 51.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 51.841 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.841 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.841 * [taylor]: Taking taylor expansion of 2 in n 51.841 * [backup-simplify]: Simplify 2 into 2 51.841 * [taylor]: Taking taylor expansion of (* n PI) in n 51.841 * [taylor]: Taking taylor expansion of n in n 51.841 * [backup-simplify]: Simplify 0 into 0 51.841 * [backup-simplify]: Simplify 1 into 1 51.841 * [taylor]: Taking taylor expansion of PI in n 51.841 * [backup-simplify]: Simplify PI into PI 51.841 * [backup-simplify]: Simplify (* 0 PI) into 0 51.842 * [backup-simplify]: Simplify (* 2 0) into 0 51.843 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.845 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.845 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.845 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 51.846 * [taylor]: Taking taylor expansion of (* n PI) in n 51.846 * [taylor]: Taking taylor expansion of n in n 51.846 * [backup-simplify]: Simplify 0 into 0 51.846 * [backup-simplify]: Simplify 1 into 1 51.846 * [taylor]: Taking taylor expansion of PI in n 51.846 * [backup-simplify]: Simplify PI into PI 51.846 * [backup-simplify]: Simplify (* 0 PI) into 0 51.848 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.848 * [backup-simplify]: Simplify (sqrt 0) into 0 51.849 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 51.849 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n 51.849 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n 51.849 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 51.849 * [taylor]: Taking taylor expansion of +nan.0 in n 51.850 * [backup-simplify]: Simplify +nan.0 into +nan.0 51.850 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 51.850 * [taylor]: Taking taylor expansion of (sqrt 2) in n 51.850 * [taylor]: Taking taylor expansion of 2 in n 51.850 * [backup-simplify]: Simplify 2 into 2 51.850 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 51.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 51.851 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 51.851 * [taylor]: Taking taylor expansion of (* n PI) in n 51.851 * [taylor]: Taking taylor expansion of n in n 51.851 * [backup-simplify]: Simplify 0 into 0 51.851 * [backup-simplify]: Simplify 1 into 1 51.851 * [taylor]: Taking taylor expansion of PI in n 51.851 * [backup-simplify]: Simplify PI into PI 51.851 * [backup-simplify]: Simplify (* 0 PI) into 0 51.853 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.853 * [backup-simplify]: Simplify (sqrt 0) into 0 51.854 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 51.854 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 51.854 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 51.854 * [taylor]: Taking taylor expansion of +nan.0 in n 51.854 * [backup-simplify]: Simplify +nan.0 into +nan.0 51.855 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 51.855 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 51.855 * [taylor]: Taking taylor expansion of (sqrt 2) in n 51.855 * [taylor]: Taking taylor expansion of 2 in n 51.855 * [backup-simplify]: Simplify 2 into 2 51.855 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 51.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 51.856 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 51.856 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.856 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.856 * [taylor]: Taking taylor expansion of 2 in n 51.856 * [backup-simplify]: Simplify 2 into 2 51.856 * [taylor]: Taking taylor expansion of (* n PI) in n 51.856 * [taylor]: Taking taylor expansion of n in n 51.856 * [backup-simplify]: Simplify 0 into 0 51.856 * [backup-simplify]: Simplify 1 into 1 51.856 * [taylor]: Taking taylor expansion of PI in n 51.856 * [backup-simplify]: Simplify PI into PI 51.856 * [backup-simplify]: Simplify (* 0 PI) into 0 51.857 * [backup-simplify]: Simplify (* 2 0) into 0 51.858 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.860 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.861 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.862 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.862 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 51.862 * [taylor]: Taking taylor expansion of (* n PI) in n 51.862 * [taylor]: Taking taylor expansion of n in n 51.862 * [backup-simplify]: Simplify 0 into 0 51.862 * [backup-simplify]: Simplify 1 into 1 51.862 * [taylor]: Taking taylor expansion of PI in n 51.862 * [backup-simplify]: Simplify PI into PI 51.863 * [backup-simplify]: Simplify (* 0 PI) into 0 51.864 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.865 * [backup-simplify]: Simplify (sqrt 0) into 0 51.866 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 51.867 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.869 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 51.870 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 51.870 * [backup-simplify]: Simplify (* +nan.0 0) into 0 51.871 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 51.871 * [backup-simplify]: Simplify (* +nan.0 0) into 0 51.873 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.874 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.876 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 51.877 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 51.879 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 51.879 * [backup-simplify]: Simplify (* +nan.0 0) into 0 51.879 * [backup-simplify]: Simplify (- 0) into 0 51.880 * [backup-simplify]: Simplify (+ 0 0) into 0 51.880 * [backup-simplify]: Simplify (- 0) into 0 51.881 * [backup-simplify]: Simplify (+ 0 0) into 0 51.881 * [backup-simplify]: Simplify (- 0) into 0 51.881 * [backup-simplify]: Simplify 0 into 0 51.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 51.883 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 51.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.886 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.888 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 51.890 * [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)))))))) 51.896 * [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)))))))) 51.899 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 51.904 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 51.908 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 51.922 * [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)))))))))) 51.930 * [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))))))) 51.937 * [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))))))) 51.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 51.943 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 51.944 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 51.949 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 51.957 * [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)))) 51.962 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 51.965 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 51.979 * [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))))))))))))) 51.979 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 51.979 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 51.980 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 51.980 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 51.980 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 51.980 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 51.980 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 51.980 * [taylor]: Taking taylor expansion of 1/2 in n 51.980 * [backup-simplify]: Simplify 1/2 into 1/2 51.980 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 51.980 * [taylor]: Taking taylor expansion of 1 in n 51.980 * [backup-simplify]: Simplify 1 into 1 51.980 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.980 * [taylor]: Taking taylor expansion of k in n 51.980 * [backup-simplify]: Simplify k into k 51.980 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.980 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 51.980 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.980 * [taylor]: Taking taylor expansion of 2 in n 51.980 * [backup-simplify]: Simplify 2 into 2 51.980 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.980 * [taylor]: Taking taylor expansion of PI in n 51.980 * [backup-simplify]: Simplify PI into PI 51.980 * [taylor]: Taking taylor expansion of n in n 51.980 * [backup-simplify]: Simplify 0 into 0 51.980 * [backup-simplify]: Simplify 1 into 1 51.981 * [backup-simplify]: Simplify (/ PI 1) into PI 51.981 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.982 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.982 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 51.982 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 51.982 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 51.984 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.985 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 51.986 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 51.986 * [taylor]: Taking taylor expansion of (sqrt k) in n 51.986 * [taylor]: Taking taylor expansion of k in n 51.986 * [backup-simplify]: Simplify k into k 51.986 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 51.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 51.986 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 51.986 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 51.986 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 51.986 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 51.986 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 51.986 * [taylor]: Taking taylor expansion of 1/2 in k 51.986 * [backup-simplify]: Simplify 1/2 into 1/2 51.986 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 51.986 * [taylor]: Taking taylor expansion of 1 in k 51.986 * [backup-simplify]: Simplify 1 into 1 51.986 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.986 * [taylor]: Taking taylor expansion of k in k 51.986 * [backup-simplify]: Simplify 0 into 0 51.986 * [backup-simplify]: Simplify 1 into 1 51.987 * [backup-simplify]: Simplify (/ 1 1) into 1 51.987 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 51.987 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 51.987 * [taylor]: Taking taylor expansion of 2 in k 51.987 * [backup-simplify]: Simplify 2 into 2 51.987 * [taylor]: Taking taylor expansion of (/ PI n) in k 51.987 * [taylor]: Taking taylor expansion of PI in k 51.987 * [backup-simplify]: Simplify PI into PI 51.987 * [taylor]: Taking taylor expansion of n in k 51.987 * [backup-simplify]: Simplify n into n 51.987 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 51.987 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 51.987 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 51.988 * [backup-simplify]: Simplify (- 1) into -1 51.988 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.989 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 51.989 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 51.989 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 51.989 * [taylor]: Taking taylor expansion of (sqrt k) in k 51.989 * [taylor]: Taking taylor expansion of k in k 51.989 * [backup-simplify]: Simplify 0 into 0 51.989 * [backup-simplify]: Simplify 1 into 1 51.989 * [backup-simplify]: Simplify (sqrt 0) into 0 51.991 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 51.991 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 51.991 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 51.991 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 51.991 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 51.991 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 51.991 * [taylor]: Taking taylor expansion of 1/2 in k 51.991 * [backup-simplify]: Simplify 1/2 into 1/2 51.991 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 51.991 * [taylor]: Taking taylor expansion of 1 in k 51.991 * [backup-simplify]: Simplify 1 into 1 51.991 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.991 * [taylor]: Taking taylor expansion of k in k 51.991 * [backup-simplify]: Simplify 0 into 0 51.991 * [backup-simplify]: Simplify 1 into 1 51.992 * [backup-simplify]: Simplify (/ 1 1) into 1 51.992 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 51.992 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 51.992 * [taylor]: Taking taylor expansion of 2 in k 51.992 * [backup-simplify]: Simplify 2 into 2 51.992 * [taylor]: Taking taylor expansion of (/ PI n) in k 51.992 * [taylor]: Taking taylor expansion of PI in k 51.992 * [backup-simplify]: Simplify PI into PI 51.992 * [taylor]: Taking taylor expansion of n in k 51.992 * [backup-simplify]: Simplify n into n 51.992 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 51.992 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 51.992 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 51.993 * [backup-simplify]: Simplify (- 1) into -1 51.993 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.993 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 51.993 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 51.994 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 51.994 * [taylor]: Taking taylor expansion of (sqrt k) in k 51.994 * [taylor]: Taking taylor expansion of k in k 51.994 * [backup-simplify]: Simplify 0 into 0 51.994 * [backup-simplify]: Simplify 1 into 1 51.994 * [backup-simplify]: Simplify (sqrt 0) into 0 51.995 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 51.996 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 51.996 * [taylor]: Taking taylor expansion of 0 in n 51.996 * [backup-simplify]: Simplify 0 into 0 51.996 * [backup-simplify]: Simplify 0 into 0 51.997 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 51.997 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 51.997 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 51.997 * [taylor]: Taking taylor expansion of +nan.0 in n 51.997 * [backup-simplify]: Simplify +nan.0 into +nan.0 51.997 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 51.997 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 51.997 * [taylor]: Taking taylor expansion of 1/2 in n 51.997 * [backup-simplify]: Simplify 1/2 into 1/2 51.997 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 51.997 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 51.997 * [taylor]: Taking taylor expansion of 1 in n 51.997 * [backup-simplify]: Simplify 1 into 1 51.997 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.997 * [taylor]: Taking taylor expansion of k in n 51.997 * [backup-simplify]: Simplify k into k 51.997 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.997 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 51.997 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.997 * [taylor]: Taking taylor expansion of 2 in n 51.997 * [backup-simplify]: Simplify 2 into 2 51.997 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.997 * [taylor]: Taking taylor expansion of PI in n 51.997 * [backup-simplify]: Simplify PI into PI 51.998 * [taylor]: Taking taylor expansion of n in n 51.998 * [backup-simplify]: Simplify 0 into 0 51.998 * [backup-simplify]: Simplify 1 into 1 51.998 * [backup-simplify]: Simplify (/ PI 1) into PI 51.999 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.000 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.000 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.000 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.001 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.002 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 52.003 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.005 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.006 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 52.007 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 52.008 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 52.008 * [backup-simplify]: Simplify 0 into 0 52.011 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 52.012 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 52.012 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 52.012 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 52.012 * [taylor]: Taking taylor expansion of +nan.0 in n 52.012 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.012 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 52.012 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 52.013 * [taylor]: Taking taylor expansion of 1/2 in n 52.013 * [backup-simplify]: Simplify 1/2 into 1/2 52.013 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 52.013 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.013 * [taylor]: Taking taylor expansion of 1 in n 52.013 * [backup-simplify]: Simplify 1 into 1 52.013 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.013 * [taylor]: Taking taylor expansion of k in n 52.013 * [backup-simplify]: Simplify k into k 52.013 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.013 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.013 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.013 * [taylor]: Taking taylor expansion of 2 in n 52.013 * [backup-simplify]: Simplify 2 into 2 52.013 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.013 * [taylor]: Taking taylor expansion of PI in n 52.013 * [backup-simplify]: Simplify PI into PI 52.013 * [taylor]: Taking taylor expansion of n in n 52.013 * [backup-simplify]: Simplify 0 into 0 52.013 * [backup-simplify]: Simplify 1 into 1 52.013 * [backup-simplify]: Simplify (/ PI 1) into PI 52.014 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.015 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.015 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.015 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.016 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.017 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 52.019 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.020 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.021 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 52.022 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 52.023 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 52.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.025 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.027 * [backup-simplify]: Simplify (- 0) into 0 52.027 * [backup-simplify]: Simplify (+ 0 0) into 0 52.029 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.030 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 52.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 52.033 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.035 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 52.035 * [backup-simplify]: Simplify (- 0) into 0 52.035 * [backup-simplify]: Simplify 0 into 0 52.035 * [backup-simplify]: Simplify 0 into 0 52.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 52.040 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 52.040 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 52.040 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 52.040 * [taylor]: Taking taylor expansion of +nan.0 in n 52.040 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.040 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 52.040 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 52.040 * [taylor]: Taking taylor expansion of 1/2 in n 52.040 * [backup-simplify]: Simplify 1/2 into 1/2 52.040 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 52.040 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.040 * [taylor]: Taking taylor expansion of 1 in n 52.041 * [backup-simplify]: Simplify 1 into 1 52.041 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.041 * [taylor]: Taking taylor expansion of k in n 52.041 * [backup-simplify]: Simplify k into k 52.041 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.041 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.041 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.041 * [taylor]: Taking taylor expansion of 2 in n 52.041 * [backup-simplify]: Simplify 2 into 2 52.041 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.041 * [taylor]: Taking taylor expansion of PI in n 52.041 * [backup-simplify]: Simplify PI into PI 52.041 * [taylor]: Taking taylor expansion of n in n 52.041 * [backup-simplify]: Simplify 0 into 0 52.041 * [backup-simplify]: Simplify 1 into 1 52.041 * [backup-simplify]: Simplify (/ PI 1) into PI 52.042 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.043 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.043 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.043 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.044 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.045 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 52.046 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.048 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.049 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 52.050 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 52.051 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 52.061 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 52.062 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 52.062 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 52.062 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 52.062 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 52.062 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 52.062 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 52.062 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 52.062 * [taylor]: Taking taylor expansion of 1/2 in n 52.062 * [backup-simplify]: Simplify 1/2 into 1/2 52.062 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.062 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.062 * [taylor]: Taking taylor expansion of k in n 52.062 * [backup-simplify]: Simplify k into k 52.062 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.062 * [taylor]: Taking taylor expansion of 1 in n 52.063 * [backup-simplify]: Simplify 1 into 1 52.063 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.063 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.063 * [taylor]: Taking taylor expansion of -2 in n 52.063 * [backup-simplify]: Simplify -2 into -2 52.063 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.063 * [taylor]: Taking taylor expansion of PI in n 52.063 * [backup-simplify]: Simplify PI into PI 52.063 * [taylor]: Taking taylor expansion of n in n 52.063 * [backup-simplify]: Simplify 0 into 0 52.063 * [backup-simplify]: Simplify 1 into 1 52.063 * [backup-simplify]: Simplify (/ PI 1) into PI 52.064 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.065 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.065 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.065 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 52.066 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.067 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.069 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.069 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 52.069 * [taylor]: Taking taylor expansion of (/ -1 k) in n 52.069 * [taylor]: Taking taylor expansion of -1 in n 52.069 * [backup-simplify]: Simplify -1 into -1 52.069 * [taylor]: Taking taylor expansion of k in n 52.069 * [backup-simplify]: Simplify k into k 52.069 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 52.069 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 52.069 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 52.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 52.071 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 52.071 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 52.071 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 52.071 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 52.071 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 52.071 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 52.071 * [taylor]: Taking taylor expansion of 1/2 in k 52.071 * [backup-simplify]: Simplify 1/2 into 1/2 52.071 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.071 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.071 * [taylor]: Taking taylor expansion of k in k 52.071 * [backup-simplify]: Simplify 0 into 0 52.071 * [backup-simplify]: Simplify 1 into 1 52.071 * [backup-simplify]: Simplify (/ 1 1) into 1 52.072 * [taylor]: Taking taylor expansion of 1 in k 52.072 * [backup-simplify]: Simplify 1 into 1 52.072 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 52.072 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 52.072 * [taylor]: Taking taylor expansion of -2 in k 52.072 * [backup-simplify]: Simplify -2 into -2 52.072 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.072 * [taylor]: Taking taylor expansion of PI in k 52.072 * [backup-simplify]: Simplify PI into PI 52.072 * [taylor]: Taking taylor expansion of n in k 52.072 * [backup-simplify]: Simplify n into n 52.072 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.072 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 52.072 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 52.072 * [backup-simplify]: Simplify (+ 1 0) into 1 52.073 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.073 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 52.073 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 52.073 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 52.073 * [taylor]: Taking taylor expansion of (/ -1 k) in k 52.073 * [taylor]: Taking taylor expansion of -1 in k 52.073 * [backup-simplify]: Simplify -1 into -1 52.073 * [taylor]: Taking taylor expansion of k in k 52.073 * [backup-simplify]: Simplify 0 into 0 52.073 * [backup-simplify]: Simplify 1 into 1 52.074 * [backup-simplify]: Simplify (/ -1 1) into -1 52.074 * [backup-simplify]: Simplify (sqrt 0) into 0 52.076 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 52.076 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 52.076 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 52.076 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 52.076 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 52.076 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 52.076 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 52.076 * [taylor]: Taking taylor expansion of 1/2 in k 52.076 * [backup-simplify]: Simplify 1/2 into 1/2 52.076 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.076 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.077 * [taylor]: Taking taylor expansion of k in k 52.077 * [backup-simplify]: Simplify 0 into 0 52.077 * [backup-simplify]: Simplify 1 into 1 52.077 * [backup-simplify]: Simplify (/ 1 1) into 1 52.077 * [taylor]: Taking taylor expansion of 1 in k 52.077 * [backup-simplify]: Simplify 1 into 1 52.077 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 52.077 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 52.077 * [taylor]: Taking taylor expansion of -2 in k 52.077 * [backup-simplify]: Simplify -2 into -2 52.077 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.077 * [taylor]: Taking taylor expansion of PI in k 52.077 * [backup-simplify]: Simplify PI into PI 52.077 * [taylor]: Taking taylor expansion of n in k 52.077 * [backup-simplify]: Simplify n into n 52.077 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.077 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 52.078 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 52.078 * [backup-simplify]: Simplify (+ 1 0) into 1 52.078 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.079 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 52.079 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 52.079 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 52.079 * [taylor]: Taking taylor expansion of (/ -1 k) in k 52.079 * [taylor]: Taking taylor expansion of -1 in k 52.079 * [backup-simplify]: Simplify -1 into -1 52.079 * [taylor]: Taking taylor expansion of k in k 52.079 * [backup-simplify]: Simplify 0 into 0 52.079 * [backup-simplify]: Simplify 1 into 1 52.079 * [backup-simplify]: Simplify (/ -1 1) into -1 52.080 * [backup-simplify]: Simplify (sqrt 0) into 0 52.081 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 52.081 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 52.082 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 52.082 * [taylor]: Taking taylor expansion of +nan.0 in n 52.082 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.082 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 52.082 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 52.082 * [taylor]: Taking taylor expansion of 1/2 in n 52.082 * [backup-simplify]: Simplify 1/2 into 1/2 52.082 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 52.082 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.082 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.082 * [taylor]: Taking taylor expansion of -2 in n 52.082 * [backup-simplify]: Simplify -2 into -2 52.082 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.082 * [taylor]: Taking taylor expansion of PI in n 52.082 * [backup-simplify]: Simplify PI into PI 52.082 * [taylor]: Taking taylor expansion of n in n 52.082 * [backup-simplify]: Simplify 0 into 0 52.082 * [backup-simplify]: Simplify 1 into 1 52.083 * [backup-simplify]: Simplify (/ PI 1) into PI 52.083 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.084 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.084 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.084 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.084 * [taylor]: Taking taylor expansion of k in n 52.084 * [backup-simplify]: Simplify k into k 52.084 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.084 * [taylor]: Taking taylor expansion of 1 in n 52.084 * [backup-simplify]: Simplify 1 into 1 52.086 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.086 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.087 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 52.088 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.089 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.090 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 52.091 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 52.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 52.095 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 52.096 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 52.096 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 52.097 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 52.097 * [taylor]: Taking taylor expansion of +nan.0 in n 52.097 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.097 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 52.097 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 52.097 * [taylor]: Taking taylor expansion of 1/2 in n 52.097 * [backup-simplify]: Simplify 1/2 into 1/2 52.097 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 52.097 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.097 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.097 * [taylor]: Taking taylor expansion of -2 in n 52.097 * [backup-simplify]: Simplify -2 into -2 52.097 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.097 * [taylor]: Taking taylor expansion of PI in n 52.097 * [backup-simplify]: Simplify PI into PI 52.097 * [taylor]: Taking taylor expansion of n in n 52.097 * [backup-simplify]: Simplify 0 into 0 52.097 * [backup-simplify]: Simplify 1 into 1 52.097 * [backup-simplify]: Simplify (/ PI 1) into PI 52.098 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.099 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.099 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.099 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.099 * [taylor]: Taking taylor expansion of k in n 52.099 * [backup-simplify]: Simplify k into k 52.099 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.099 * [taylor]: Taking taylor expansion of 1 in n 52.099 * [backup-simplify]: Simplify 1 into 1 52.100 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.101 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.102 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 52.103 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.104 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.105 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 52.106 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 52.108 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 52.109 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.110 * [backup-simplify]: Simplify (+ 0 0) into 0 52.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.111 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 52.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 52.114 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 52.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 52.117 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.119 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 52.119 * [backup-simplify]: Simplify 0 into 0 52.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 52.125 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 52.125 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 52.126 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 52.126 * [taylor]: Taking taylor expansion of +nan.0 in n 52.126 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.126 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 52.126 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 52.126 * [taylor]: Taking taylor expansion of 1/2 in n 52.126 * [backup-simplify]: Simplify 1/2 into 1/2 52.126 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 52.126 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.126 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.126 * [taylor]: Taking taylor expansion of -2 in n 52.126 * [backup-simplify]: Simplify -2 into -2 52.126 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.126 * [taylor]: Taking taylor expansion of PI in n 52.126 * [backup-simplify]: Simplify PI into PI 52.126 * [taylor]: Taking taylor expansion of n in n 52.126 * [backup-simplify]: Simplify 0 into 0 52.126 * [backup-simplify]: Simplify 1 into 1 52.126 * [backup-simplify]: Simplify (/ PI 1) into PI 52.127 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.128 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.128 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.128 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.128 * [taylor]: Taking taylor expansion of k in n 52.128 * [backup-simplify]: Simplify k into k 52.128 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.128 * [taylor]: Taking taylor expansion of 1 in n 52.128 * [backup-simplify]: Simplify 1 into 1 52.129 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.130 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.131 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 52.132 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.133 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.134 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 52.135 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 52.136 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 52.141 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 52.141 * * * [progress]: simplifying candidates 52.141 * * * * [progress]: [ 1 / 188 ] simplifiying candidate # 52.141 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 52.141 * * [simplify]: iters left: 6 (13 enodes) 52.149 * * [simplify]: iters left: 5 (54 enodes) 52.166 * * [simplify]: iters left: 4 (97 enodes) 52.210 * * [simplify]: iters left: 3 (248 enodes) 52.300 * * [simplify]: Extracting #0: cost 1 inf + 0 52.304 * * [simplify]: Extracting #1: cost 32 inf + 0 52.305 * * [simplify]: Extracting #2: cost 126 inf + 2 52.306 * * [simplify]: Extracting #3: cost 172 inf + 186 52.308 * * [simplify]: Extracting #4: cost 133 inf + 4138 52.311 * * [simplify]: Extracting #5: cost 102 inf + 10807 52.315 * * [simplify]: Extracting #6: cost 39 inf + 29000 52.322 * * [simplify]: Extracting #7: cost 1 inf + 41033 52.330 * * [simplify]: Extracting #8: cost 0 inf + 41487 52.336 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 52.337 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) 52.337 * * * * [progress]: [ 2 / 188 ] simplifiying candidate # 52.337 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 52.337 * * [simplify]: iters left: 6 (12 enodes) 52.343 * * [simplify]: iters left: 5 (52 enodes) 52.360 * * [simplify]: iters left: 4 (90 enodes) 52.393 * * [simplify]: iters left: 3 (203 enodes) 52.470 * * [simplify]: Extracting #0: cost 1 inf + 0 52.470 * * [simplify]: Extracting #1: cost 29 inf + 0 52.470 * * [simplify]: Extracting #2: cost 112 inf + 2 52.471 * * [simplify]: Extracting #3: cost 150 inf + 229 52.473 * * [simplify]: Extracting #4: cost 109 inf + 5834 52.481 * * [simplify]: Extracting #5: cost 31 inf + 22890 52.492 * * [simplify]: Extracting #6: cost 0 inf + 32142 52.505 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 52.505 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2)))) 52.505 * * * * [progress]: [ 3 / 188 ] simplifiying candidate # 52.505 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 52.506 * * [simplify]: iters left: 6 (11 enodes) 52.512 * * [simplify]: iters left: 5 (51 enodes) 52.533 * * [simplify]: iters left: 4 (97 enodes) 52.567 * * [simplify]: iters left: 3 (200 enodes) 52.631 * * [simplify]: Extracting #0: cost 1 inf + 0 52.632 * * [simplify]: Extracting #1: cost 32 inf + 0 52.632 * * [simplify]: Extracting #2: cost 113 inf + 2 52.633 * * [simplify]: Extracting #3: cost 153 inf + 282 52.637 * * [simplify]: Extracting #4: cost 124 inf + 3549 52.640 * * [simplify]: Extracting #5: cost 53 inf + 15867 52.645 * * [simplify]: Extracting #6: cost 0 inf + 28692 52.650 * [simplify]: Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2) 52.651 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2)))) 52.651 * * * * [progress]: [ 4 / 188 ] simplifiying candidate # 52.651 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 52.651 * * [simplify]: iters left: 6 (11 enodes) 52.655 * * [simplify]: iters left: 5 (51 enodes) 52.665 * * [simplify]: iters left: 4 (97 enodes) 52.697 * * [simplify]: iters left: 3 (200 enodes) 52.769 * * [simplify]: Extracting #0: cost 1 inf + 0 52.770 * * [simplify]: Extracting #1: cost 32 inf + 0 52.770 * * [simplify]: Extracting #2: cost 113 inf + 2 52.771 * * [simplify]: Extracting #3: cost 153 inf + 282 52.773 * * [simplify]: Extracting #4: cost 124 inf + 3549 52.778 * * [simplify]: Extracting #5: cost 53 inf + 15867 52.789 * * [simplify]: Extracting #6: cost 0 inf + 28692 52.795 * [simplify]: Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2) 52.795 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2)))) 52.795 * * * * [progress]: [ 5 / 188 ] simplifiying candidate # 52.795 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 52.795 * * [simplify]: iters left: 6 (6 enodes) 52.798 * * [simplify]: iters left: 5 (27 enodes) 52.803 * * [simplify]: iters left: 4 (47 enodes) 52.811 * * [simplify]: iters left: 3 (59 enodes) 52.821 * * [simplify]: iters left: 2 (77 enodes) 52.847 * * [simplify]: iters left: 1 (104 enodes) 52.873 * * [simplify]: Extracting #0: cost 1 inf + 0 52.873 * * [simplify]: Extracting #1: cost 9 inf + 0 52.874 * * [simplify]: Extracting #2: cost 18 inf + 3 52.874 * * [simplify]: Extracting #3: cost 15 inf + 131 52.874 * * [simplify]: Extracting #4: cost 2 inf + 962 52.875 * * [simplify]: Extracting #5: cost 0 inf + 1086 52.876 * [simplify]: Simplified to (* 1/2 (- 1 k)) 52.876 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 52.876 * * * * [progress]: [ 6 / 188 ] simplifiying candidate # 52.877 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 52.877 * * [simplify]: iters left: 6 (6 enodes) 52.881 * * [simplify]: iters left: 5 (27 enodes) 52.891 * * [simplify]: iters left: 4 (47 enodes) 52.900 * * [simplify]: iters left: 3 (59 enodes) 52.909 * * [simplify]: iters left: 2 (77 enodes) 52.921 * * [simplify]: iters left: 1 (104 enodes) 52.943 * * [simplify]: Extracting #0: cost 1 inf + 0 52.943 * * [simplify]: Extracting #1: cost 9 inf + 0 52.943 * * [simplify]: Extracting #2: cost 18 inf + 3 52.943 * * [simplify]: Extracting #3: cost 15 inf + 131 52.944 * * [simplify]: Extracting #4: cost 2 inf + 962 52.945 * * [simplify]: Extracting #5: cost 0 inf + 1086 52.946 * [simplify]: Simplified to (* 1/2 (- 1 k)) 52.946 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 52.946 * * * * [progress]: [ 7 / 188 ] simplifiying candidate # 52.946 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 52.946 * * [simplify]: iters left: 6 (6 enodes) 52.950 * * [simplify]: iters left: 5 (27 enodes) 52.962 * * [simplify]: iters left: 4 (47 enodes) 52.976 * * [simplify]: iters left: 3 (59 enodes) 52.994 * * [simplify]: iters left: 2 (77 enodes) 53.016 * * [simplify]: iters left: 1 (104 enodes) 53.041 * * [simplify]: Extracting #0: cost 1 inf + 0 53.041 * * [simplify]: Extracting #1: cost 9 inf + 0 53.041 * * [simplify]: Extracting #2: cost 18 inf + 3 53.041 * * [simplify]: Extracting #3: cost 15 inf + 131 53.042 * * [simplify]: Extracting #4: cost 2 inf + 962 53.043 * * [simplify]: Extracting #5: cost 0 inf + 1086 53.044 * [simplify]: Simplified to (* 1/2 (- 1 k)) 53.044 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 53.044 * * * * [progress]: [ 8 / 188 ] simplifiying candidate # 53.044 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ 1 2)) 53.044 * * [simplify]: iters left: 5 (8 enodes) 53.050 * * [simplify]: iters left: 4 (35 enodes) 53.064 * * [simplify]: iters left: 3 (63 enodes) 53.087 * * [simplify]: iters left: 2 (109 enodes) 53.124 * * [simplify]: iters left: 1 (163 enodes) 53.175 * * [simplify]: Extracting #0: cost 1 inf + 0 53.175 * * [simplify]: Extracting #1: cost 15 inf + 0 53.175 * * [simplify]: Extracting #2: cost 44 inf + 2 53.175 * * [simplify]: Extracting #3: cost 40 inf + 52 53.176 * * [simplify]: Extracting #4: cost 27 inf + 1646 53.179 * * [simplify]: Extracting #5: cost 4 inf + 13148 53.182 * * [simplify]: Extracting #6: cost 0 inf + 15790 53.186 * [simplify]: Simplified to (sqrt (* (* 2 PI) n)) 53.186 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 PI) n)) (pow (* (* 2 PI) n) (/ k 2))))) 53.187 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 53.187 * * [simplify]: iters left: 5 (8 enodes) 53.191 * * [simplify]: iters left: 4 (31 enodes) 53.200 * * [simplify]: iters left: 3 (51 enodes) 53.216 * * [simplify]: iters left: 2 (85 enodes) 53.245 * * [simplify]: iters left: 1 (152 enodes) 53.275 * * [simplify]: Extracting #0: cost 1 inf + 0 53.275 * * [simplify]: Extracting #1: cost 13 inf + 0 53.275 * * [simplify]: Extracting #2: cost 60 inf + 1 53.275 * * [simplify]: Extracting #3: cost 76 inf + 51 53.276 * * [simplify]: Extracting #4: cost 44 inf + 2846 53.277 * * [simplify]: Extracting #5: cost 21 inf + 7590 53.280 * * [simplify]: Extracting #6: cost 1 inf + 20687 53.283 * * [simplify]: Extracting #7: cost 0 inf + 20539 53.288 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 53.288 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 PI) n)) (pow (* (* n 2) PI) (/ k 2))))) 53.289 * * * * [progress]: [ 9 / 188 ] simplifiying candidate # 53.289 * [simplify]: Simplifying (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 53.289 * * [simplify]: iters left: 6 (12 enodes) 53.296 * * [simplify]: iters left: 5 (51 enodes) 53.312 * * [simplify]: iters left: 4 (79 enodes) 53.336 * * [simplify]: iters left: 3 (119 enodes) 53.361 * * [simplify]: iters left: 2 (200 enodes) 53.406 * * [simplify]: iters left: 1 (360 enodes) 53.597 * * [simplify]: Extracting #0: cost 1 inf + 0 53.597 * * [simplify]: Extracting #1: cost 26 inf + 0 53.597 * * [simplify]: Extracting #2: cost 116 inf + 1 53.599 * * [simplify]: Extracting #3: cost 208 inf + 217 53.601 * * [simplify]: Extracting #4: cost 219 inf + 429 53.603 * * [simplify]: Extracting #5: cost 224 inf + 429 53.605 * * [simplify]: Extracting #6: cost 219 inf + 720 53.612 * * [simplify]: Extracting #7: cost 117 inf + 25112 53.641 * * [simplify]: Extracting #8: cost 27 inf + 74480 53.660 * * [simplify]: Extracting #9: cost 0 inf + 100719 53.678 * * [simplify]: Extracting #10: cost 0 inf + 98837 53.715 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 53.715 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 53.715 * * * * [progress]: [ 10 / 188 ] simplifiying candidate # 53.716 * [simplify]: Simplifying (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) 53.716 * * [simplify]: iters left: 6 (11 enodes) 53.722 * * [simplify]: iters left: 5 (48 enodes) 53.738 * * [simplify]: iters left: 4 (74 enodes) 53.760 * * [simplify]: iters left: 3 (105 enodes) 53.793 * * [simplify]: iters left: 2 (161 enodes) 53.822 * * [simplify]: iters left: 1 (278 enodes) 53.950 * * [simplify]: Extracting #0: cost 1 inf + 0 53.950 * * [simplify]: Extracting #1: cost 27 inf + 0 53.951 * * [simplify]: Extracting #2: cost 103 inf + 1 53.952 * * [simplify]: Extracting #3: cost 133 inf + 174 53.953 * * [simplify]: Extracting #4: cost 132 inf + 388 53.954 * * [simplify]: Extracting #5: cost 129 inf + 556 53.958 * * [simplify]: Extracting #6: cost 87 inf + 10742 53.968 * * [simplify]: Extracting #7: cost 44 inf + 30226 53.985 * * [simplify]: Extracting #8: cost 5 inf + 64548 53.996 * * [simplify]: Extracting #9: cost 0 inf + 70577 54.007 * [simplify]: Simplified to (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) 54.008 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 54.008 * * * * [progress]: [ 11 / 188 ] simplifiying candidate # 54.008 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) 54.008 * * [simplify]: iters left: 6 (14 enodes) 54.014 * * [simplify]: iters left: 5 (59 enodes) 54.033 * * [simplify]: iters left: 4 (104 enodes) 54.054 * * [simplify]: iters left: 3 (187 enodes) 54.113 * * [simplify]: iters left: 2 (435 enodes) 54.373 * * [simplify]: Extracting #0: cost 1 inf + 0 54.373 * * [simplify]: Extracting #1: cost 12 inf + 0 54.373 * * [simplify]: Extracting #2: cost 110 inf + 1 54.374 * * [simplify]: Extracting #3: cost 230 inf + 215 54.755 * * [simplify]: Extracting #4: cost 226 inf + 2204 54.762 * * [simplify]: Extracting #5: cost 153 inf + 20278 54.784 * * [simplify]: Extracting #6: cost 30 inf + 62765 54.816 * * [simplify]: Extracting #7: cost 2 inf + 83492 54.847 * * [simplify]: Extracting #8: cost 0 inf + 83773 54.868 * * [simplify]: Extracting #9: cost 0 inf + 83655 54.884 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 54.884 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) 54.884 * * * * [progress]: [ 12 / 188 ] simplifiying candidate # 54.884 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) 54.885 * * [simplify]: iters left: 6 (13 enodes) 54.893 * * [simplify]: iters left: 5 (52 enodes) 54.910 * * [simplify]: iters left: 4 (82 enodes) 54.936 * * [simplify]: iters left: 3 (137 enodes) 54.982 * * [simplify]: iters left: 2 (273 enodes) 55.116 * * [simplify]: Extracting #0: cost 1 inf + 0 55.117 * * [simplify]: Extracting #1: cost 12 inf + 0 55.117 * * [simplify]: Extracting #2: cost 84 inf + 1 55.118 * * [simplify]: Extracting #3: cost 148 inf + 6 55.119 * * [simplify]: Extracting #4: cost 141 inf + 1113 55.121 * * [simplify]: Extracting #5: cost 127 inf + 2583 55.127 * * [simplify]: Extracting #6: cost 62 inf + 18042 55.140 * * [simplify]: Extracting #7: cost 18 inf + 35821 55.154 * * [simplify]: Extracting #8: cost 2 inf + 50857 55.163 * * [simplify]: Extracting #9: cost 0 inf + 52761 55.171 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) 55.171 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) (sqrt 2))))) 55.172 * * * * [progress]: [ 13 / 188 ] simplifiying candidate # 55.172 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 55.172 * * [simplify]: iters left: 6 (12 enodes) 55.175 * * [simplify]: iters left: 5 (47 enodes) 55.189 * * [simplify]: iters left: 4 (83 enodes) 55.203 * * [simplify]: iters left: 3 (123 enodes) 55.225 * * [simplify]: iters left: 2 (221 enodes) 55.305 * * [simplify]: iters left: 1 (478 enodes) 55.748 * * [simplify]: Extracting #0: cost 1 inf + 0 55.748 * * [simplify]: Extracting #1: cost 35 inf + 0 55.749 * * [simplify]: Extracting #2: cost 138 inf + 1 55.752 * * [simplify]: Extracting #3: cost 219 inf + 136 55.754 * * [simplify]: Extracting #4: cost 219 inf + 390 55.756 * * [simplify]: Extracting #5: cost 216 inf + 516 55.764 * * [simplify]: Extracting #6: cost 139 inf + 17570 55.788 * * [simplify]: Extracting #7: cost 26 inf + 77715 55.820 * * [simplify]: Extracting #8: cost 0 inf + 103383 55.840 * * [simplify]: Extracting #9: cost 0 inf + 103010 55.881 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) 55.881 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2)))) 55.881 * * * * [progress]: [ 14 / 188 ] simplifiying candidate # 55.882 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 55.882 * * [simplify]: iters left: 6 (13 enodes) 55.889 * * [simplify]: iters left: 5 (52 enodes) 55.906 * * [simplify]: iters left: 4 (80 enodes) 55.922 * * [simplify]: iters left: 3 (129 enodes) 55.949 * * [simplify]: iters left: 2 (247 enodes) 56.021 * * [simplify]: iters left: 1 (496 enodes) 56.423 * * [simplify]: Extracting #0: cost 1 inf + 0 56.424 * * [simplify]: Extracting #1: cost 27 inf + 0 56.424 * * [simplify]: Extracting #2: cost 185 inf + 1 56.428 * * [simplify]: Extracting #3: cost 435 inf + 1751 56.433 * * [simplify]: Extracting #4: cost 387 inf + 12595 56.441 * * [simplify]: Extracting #5: cost 355 inf + 17181 56.456 * * [simplify]: Extracting #6: cost 165 inf + 64483 56.483 * * [simplify]: Extracting #7: cost 36 inf + 117851 56.522 * * [simplify]: Extracting #8: cost 0 inf + 151916 56.565 * * [simplify]: Extracting #9: cost 0 inf + 150012 56.597 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 56.597 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) 56.597 * * * * [progress]: [ 15 / 188 ] simplifiying candidate # 56.598 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) 56.598 * * [simplify]: iters left: 6 (12 enodes) 56.604 * * [simplify]: iters left: 5 (47 enodes) 56.619 * * [simplify]: iters left: 4 (71 enodes) 56.641 * * [simplify]: iters left: 3 (109 enodes) 56.677 * * [simplify]: iters left: 2 (192 enodes) 56.741 * * [simplify]: iters left: 1 (370 enodes) 56.978 * * [simplify]: Extracting #0: cost 1 inf + 0 56.978 * * [simplify]: Extracting #1: cost 29 inf + 0 56.979 * * [simplify]: Extracting #2: cost 139 inf + 1 56.980 * * [simplify]: Extracting #3: cost 265 inf + 255 56.981 * * [simplify]: Extracting #4: cost 240 inf + 3440 56.987 * * [simplify]: Extracting #5: cost 188 inf + 10463 56.994 * * [simplify]: Extracting #6: cost 70 inf + 42496 57.013 * * [simplify]: Extracting #7: cost 7 inf + 87930 57.035 * * [simplify]: Extracting #8: cost 0 inf + 94725 57.055 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) 57.055 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) 57.055 * * * * [progress]: [ 16 / 188 ] simplifiying candidate # 57.056 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) 57.056 * * [simplify]: iters left: 6 (11 enodes) 57.062 * * [simplify]: iters left: 5 (42 enodes) 57.075 * * [simplify]: iters left: 4 (64 enodes) 57.097 * * [simplify]: iters left: 3 (97 enodes) 57.127 * * [simplify]: iters left: 2 (155 enodes) 57.164 * * [simplify]: iters left: 1 (284 enodes) 57.291 * * [simplify]: Extracting #0: cost 1 inf + 0 57.292 * * [simplify]: Extracting #1: cost 31 inf + 0 57.292 * * [simplify]: Extracting #2: cost 105 inf + 1 57.293 * * [simplify]: Extracting #3: cost 137 inf + 133 57.294 * * [simplify]: Extracting #4: cost 131 inf + 389 57.296 * * [simplify]: Extracting #5: cost 119 inf + 1499 57.300 * * [simplify]: Extracting #6: cost 72 inf + 14732 57.313 * * [simplify]: Extracting #7: cost 21 inf + 48863 57.332 * * [simplify]: Extracting #8: cost 0 inf + 69103 57.353 * * [simplify]: Extracting #9: cost 0 inf + 69063 57.366 * [simplify]: Simplified to (pow (* (* 2 PI) n) (sqrt (- 1 k))) 57.366 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)))) 57.366 * * * * [progress]: [ 17 / 188 ] simplifiying candidate # 57.366 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 57.366 * * [simplify]: iters left: 6 (10 enodes) 57.370 * * [simplify]: iters left: 5 (41 enodes) 57.377 * * [simplify]: iters left: 4 (66 enodes) 57.388 * * [simplify]: iters left: 3 (115 enodes) 57.426 * * [simplify]: iters left: 2 (218 enodes) 57.524 * * [simplify]: Extracting #0: cost 1 inf + 0 57.524 * * [simplify]: Extracting #1: cost 12 inf + 0 57.524 * * [simplify]: Extracting #2: cost 69 inf + 1 57.524 * * [simplify]: Extracting #3: cost 119 inf + 6 57.525 * * [simplify]: Extracting #4: cost 103 inf + 1724 57.527 * * [simplify]: Extracting #5: cost 46 inf + 13084 57.532 * * [simplify]: Extracting #6: cost 2 inf + 34728 57.539 * * [simplify]: Extracting #7: cost 0 inf + 36339 57.551 * [simplify]: Simplified to (pow (* (* n PI) 2) (/ 1 (* (cbrt 2) (cbrt 2)))) 57.551 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* n PI) 2) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 57.551 * * * * [progress]: [ 18 / 188 ] simplifiying candidate # 57.551 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) 57.551 * * [simplify]: iters left: 5 (9 enodes) 57.557 * * [simplify]: iters left: 4 (36 enodes) 57.569 * * [simplify]: iters left: 3 (57 enodes) 57.590 * * [simplify]: iters left: 2 (97 enodes) 57.623 * * [simplify]: iters left: 1 (172 enodes) 57.678 * * [simplify]: Extracting #0: cost 1 inf + 0 57.678 * * [simplify]: Extracting #1: cost 12 inf + 0 57.678 * * [simplify]: Extracting #2: cost 51 inf + 1 57.678 * * [simplify]: Extracting #3: cost 78 inf + 6 57.679 * * [simplify]: Extracting #4: cost 67 inf + 883 57.680 * * [simplify]: Extracting #5: cost 33 inf + 6573 57.682 * * [simplify]: Extracting #6: cost 12 inf + 14322 57.685 * * [simplify]: Extracting #7: cost 0 inf + 23714 57.692 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) 57.692 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 57.692 * * * * [progress]: [ 19 / 188 ] simplifiying candidate # 57.692 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ 1 1)) 57.693 * * [simplify]: iters left: 5 (8 enodes) 57.698 * * [simplify]: iters left: 4 (34 enodes) 57.713 * * [simplify]: iters left: 3 (64 enodes) 57.736 * * [simplify]: iters left: 2 (105 enodes) 57.762 * * [simplify]: iters left: 1 (177 enodes) 57.800 * * [simplify]: Extracting #0: cost 1 inf + 0 57.800 * * [simplify]: Extracting #1: cost 17 inf + 0 57.801 * * [simplify]: Extracting #2: cost 34 inf + 46 57.801 * * [simplify]: Extracting #3: cost 25 inf + 760 57.803 * * [simplify]: Extracting #4: cost 15 inf + 4563 57.805 * * [simplify]: Extracting #5: cost 0 inf + 11179 57.808 * [simplify]: Simplified to (* (* n PI) 2) 57.808 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2)))) 57.808 * * * * [progress]: [ 20 / 188 ] simplifiying candidate # 57.809 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) 57.809 * * [simplify]: iters left: 6 (14 enodes) 57.817 * * [simplify]: iters left: 5 (54 enodes) 57.834 * * [simplify]: iters left: 4 (79 enodes) 57.854 * * [simplify]: iters left: 3 (128 enodes) 57.883 * * [simplify]: iters left: 2 (254 enodes) 57.969 * * [simplify]: Extracting #0: cost 1 inf + 0 57.969 * * [simplify]: Extracting #1: cost 12 inf + 0 57.969 * * [simplify]: Extracting #2: cost 77 inf + 1 57.970 * * [simplify]: Extracting #3: cost 139 inf + 6 57.972 * * [simplify]: Extracting #4: cost 117 inf + 3456 57.974 * * [simplify]: Extracting #5: cost 100 inf + 5844 57.977 * * [simplify]: Extracting #6: cost 51 inf + 19185 57.983 * * [simplify]: Extracting #7: cost 6 inf + 44347 57.990 * * [simplify]: Extracting #8: cost 0 inf + 50401 57.998 * * [simplify]: Extracting #9: cost 0 inf + 50139 58.009 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 58.009 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* n 2) PI) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))))) 58.009 * * * * [progress]: [ 21 / 188 ] simplifiying candidate # 58.009 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) 58.009 * * [simplify]: iters left: 6 (13 enodes) 58.018 * * [simplify]: iters left: 5 (49 enodes) 58.033 * * [simplify]: iters left: 4 (70 enodes) 58.047 * * [simplify]: iters left: 3 (108 enodes) 58.074 * * [simplify]: iters left: 2 (196 enodes) 58.119 * * [simplify]: iters left: 1 (367 enodes) 58.324 * * [simplify]: Extracting #0: cost 1 inf + 0 58.324 * * [simplify]: Extracting #1: cost 30 inf + 0 58.325 * * [simplify]: Extracting #2: cost 147 inf + 1 58.327 * * [simplify]: Extracting #3: cost 246 inf + 175 58.329 * * [simplify]: Extracting #4: cost 244 inf + 1042 58.331 * * [simplify]: Extracting #5: cost 200 inf + 6052 58.337 * * [simplify]: Extracting #6: cost 98 inf + 27343 58.348 * * [simplify]: Extracting #7: cost 33 inf + 63837 58.369 * * [simplify]: Extracting #8: cost 3 inf + 96288 58.388 * * [simplify]: Extracting #9: cost 0 inf + 98124 58.417 * * [simplify]: Extracting #10: cost 0 inf + 97020 58.457 * * [simplify]: Extracting #11: cost 0 inf + 96406 58.494 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 58.494 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))))) 58.495 * * * * [progress]: [ 22 / 188 ] simplifiying candidate # 58.495 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) 58.495 * * [simplify]: iters left: 6 (12 enodes) 58.503 * * [simplify]: iters left: 5 (44 enodes) 58.516 * * [simplify]: iters left: 4 (63 enodes) 58.527 * * [simplify]: iters left: 3 (97 enodes) 58.544 * * [simplify]: iters left: 2 (162 enodes) 58.589 * * [simplify]: iters left: 1 (289 enodes) 58.692 * * [simplify]: Extracting #0: cost 1 inf + 0 58.692 * * [simplify]: Extracting #1: cost 29 inf + 0 58.693 * * [simplify]: Extracting #2: cost 97 inf + 1 58.694 * * [simplify]: Extracting #3: cost 131 inf + 257 58.695 * * [simplify]: Extracting #4: cost 125 inf + 472 58.697 * * [simplify]: Extracting #5: cost 101 inf + 3879 58.706 * * [simplify]: Extracting #6: cost 32 inf + 34827 58.715 * * [simplify]: Extracting #7: cost 0 inf + 64062 58.724 * [simplify]: Simplified to (pow (* (* 2 PI) n) (+ 1 (sqrt k))) 58.724 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- (sqrt 1) (sqrt k)) 2)))) 58.724 * * * * [progress]: [ 23 / 188 ] simplifiying candidate # 58.725 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 58.725 * * [simplify]: iters left: 6 (13 enodes) 58.731 * * [simplify]: iters left: 5 (51 enodes) 58.740 * * [simplify]: iters left: 4 (76 enodes) 58.753 * * [simplify]: iters left: 3 (125 enodes) 58.776 * * [simplify]: iters left: 2 (251 enodes) 58.839 * * [simplify]: Extracting #0: cost 1 inf + 0 58.839 * * [simplify]: Extracting #1: cost 13 inf + 0 58.839 * * [simplify]: Extracting #2: cost 75 inf + 1 58.839 * * [simplify]: Extracting #3: cost 136 inf + 87 58.840 * * [simplify]: Extracting #4: cost 116 inf + 3374 58.841 * * [simplify]: Extracting #5: cost 99 inf + 5561 58.844 * * [simplify]: Extracting #6: cost 50 inf + 18198 58.850 * * [simplify]: Extracting #7: cost 10 inf + 40179 58.858 * * [simplify]: Extracting #8: cost 0 inf + 48815 58.866 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 58.866 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 58.866 * * * * [progress]: [ 24 / 188 ] simplifiying candidate # 58.866 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 58.866 * * [simplify]: iters left: 6 (12 enodes) 58.872 * * [simplify]: iters left: 5 (46 enodes) 58.885 * * [simplify]: iters left: 4 (67 enodes) 58.908 * * [simplify]: iters left: 3 (106 enodes) 58.939 * * [simplify]: iters left: 2 (197 enodes) 58.978 * * [simplify]: iters left: 1 (373 enodes) 59.165 * * [simplify]: Extracting #0: cost 1 inf + 0 59.165 * * [simplify]: Extracting #1: cost 30 inf + 0 59.166 * * [simplify]: Extracting #2: cost 145 inf + 1 59.167 * * [simplify]: Extracting #3: cost 256 inf + 216 59.170 * * [simplify]: Extracting #4: cost 234 inf + 3196 59.173 * * [simplify]: Extracting #5: cost 211 inf + 5721 59.183 * * [simplify]: Extracting #6: cost 115 inf + 25140 59.208 * * [simplify]: Extracting #7: cost 30 inf + 72741 59.243 * * [simplify]: Extracting #8: cost 0 inf + 98941 59.269 * * [simplify]: Extracting #9: cost 0 inf + 97628 59.290 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 59.291 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 59.291 * * * * [progress]: [ 25 / 188 ] simplifiying candidate # 59.291 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) 59.291 * * [simplify]: iters left: 6 (11 enodes) 59.298 * * [simplify]: iters left: 5 (41 enodes) 59.310 * * [simplify]: iters left: 4 (60 enodes) 59.330 * * [simplify]: iters left: 3 (93 enodes) 59.351 * * [simplify]: iters left: 2 (155 enodes) 59.391 * * [simplify]: iters left: 1 (288 enodes) 59.518 * * [simplify]: Extracting #0: cost 1 inf + 0 59.519 * * [simplify]: Extracting #1: cost 27 inf + 0 59.519 * * [simplify]: Extracting #2: cost 102 inf + 1 59.520 * * [simplify]: Extracting #3: cost 133 inf + 216 59.521 * * [simplify]: Extracting #4: cost 128 inf + 389 59.523 * * [simplify]: Extracting #5: cost 125 inf + 554 59.524 * * [simplify]: Extracting #6: cost 92 inf + 6063 59.527 * * [simplify]: Extracting #7: cost 47 inf + 23898 59.535 * * [simplify]: Extracting #8: cost 6 inf + 60412 59.547 * * [simplify]: Extracting #9: cost 0 inf + 66962 59.563 * [simplify]: Simplified to (pow (* (* 2 PI) n) (+ 1 (sqrt k))) 59.564 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 59.564 * * * * [progress]: [ 26 / 188 ] simplifiying candidate # 59.564 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 59.564 * * [simplify]: iters left: 6 (10 enodes) 59.570 * * [simplify]: iters left: 5 (41 enodes) 59.584 * * [simplify]: iters left: 4 (66 enodes) 59.605 * * [simplify]: iters left: 3 (115 enodes) 59.627 * * [simplify]: iters left: 2 (218 enodes) 59.716 * * [simplify]: Extracting #0: cost 1 inf + 0 59.716 * * [simplify]: Extracting #1: cost 12 inf + 0 59.716 * * [simplify]: Extracting #2: cost 69 inf + 1 59.716 * * [simplify]: Extracting #3: cost 119 inf + 6 59.717 * * [simplify]: Extracting #4: cost 103 inf + 1724 59.719 * * [simplify]: Extracting #5: cost 46 inf + 13084 59.723 * * [simplify]: Extracting #6: cost 2 inf + 34728 59.729 * * [simplify]: Extracting #7: cost 0 inf + 36339 59.734 * [simplify]: Simplified to (pow (* (* n PI) 2) (/ 1 (* (cbrt 2) (cbrt 2)))) 59.735 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* n PI) 2) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 59.735 * * * * [progress]: [ 27 / 188 ] simplifiying candidate # 59.737 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) 59.737 * * [simplify]: iters left: 5 (9 enodes) 59.740 * * [simplify]: iters left: 4 (36 enodes) 59.747 * * [simplify]: iters left: 3 (57 enodes) 59.767 * * [simplify]: iters left: 2 (97 enodes) 59.801 * * [simplify]: iters left: 1 (172 enodes) 59.845 * * [simplify]: Extracting #0: cost 1 inf + 0 59.845 * * [simplify]: Extracting #1: cost 12 inf + 0 59.845 * * [simplify]: Extracting #2: cost 51 inf + 1 59.845 * * [simplify]: Extracting #3: cost 78 inf + 6 59.846 * * [simplify]: Extracting #4: cost 67 inf + 883 59.847 * * [simplify]: Extracting #5: cost 33 inf + 6573 59.849 * * [simplify]: Extracting #6: cost 12 inf + 14322 59.852 * * [simplify]: Extracting #7: cost 0 inf + 23714 59.857 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) 59.857 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 59.857 * * * * [progress]: [ 28 / 188 ] simplifiying candidate # 59.858 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ 1 1)) 59.858 * * [simplify]: iters left: 5 (8 enodes) 59.863 * * [simplify]: iters left: 4 (34 enodes) 59.876 * * [simplify]: iters left: 3 (64 enodes) 59.897 * * [simplify]: iters left: 2 (105 enodes) 59.931 * * [simplify]: iters left: 1 (177 enodes) 59.993 * * [simplify]: Extracting #0: cost 1 inf + 0 59.993 * * [simplify]: Extracting #1: cost 17 inf + 0 59.993 * * [simplify]: Extracting #2: cost 34 inf + 46 59.993 * * [simplify]: Extracting #3: cost 25 inf + 760 59.994 * * [simplify]: Extracting #4: cost 15 inf + 4563 59.995 * * [simplify]: Extracting #5: cost 0 inf + 11179 59.996 * [simplify]: Simplified to (* (* n PI) 2) 59.996 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2)))) 59.997 * * * * [progress]: [ 29 / 188 ] simplifiying candidate # 59.997 * [simplify]: Simplifying (pow (* (* 2 PI) n) 1) 59.997 * * [simplify]: iters left: 5 (7 enodes) 59.999 * * [simplify]: iters left: 4 (30 enodes) 60.006 * * [simplify]: iters left: 3 (58 enodes) 60.018 * * [simplify]: iters left: 2 (99 enodes) 60.047 * * [simplify]: iters left: 1 (171 enodes) 60.097 * * [simplify]: Extracting #0: cost 1 inf + 0 60.097 * * [simplify]: Extracting #1: cost 18 inf + 0 60.098 * * [simplify]: Extracting #2: cost 35 inf + 46 60.098 * * [simplify]: Extracting #3: cost 24 inf + 1389 60.099 * * [simplify]: Extracting #4: cost 13 inf + 5947 60.102 * * [simplify]: Extracting #5: cost 7 inf + 7909 60.105 * * [simplify]: Extracting #6: cost 0 inf + 11764 60.108 * [simplify]: Simplified to (* (* 2 PI) n) 60.108 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 60.108 * * * * [progress]: [ 30 / 188 ] simplifiying candidate # 60.108 * [simplify]: Simplifying (pow (* (* 2 PI) n) (- 1 k)) 60.108 * * [simplify]: iters left: 5 (9 enodes) 60.114 * * [simplify]: iters left: 4 (38 enodes) 60.126 * * [simplify]: iters left: 3 (64 enodes) 60.147 * * [simplify]: iters left: 2 (101 enodes) 60.167 * * [simplify]: iters left: 1 (174 enodes) 60.217 * * [simplify]: Extracting #0: cost 1 inf + 0 60.218 * * [simplify]: Extracting #1: cost 13 inf + 0 60.218 * * [simplify]: Extracting #2: cost 62 inf + 1 60.218 * * [simplify]: Extracting #3: cost 86 inf + 132 60.220 * * [simplify]: Extracting #4: cost 54 inf + 3727 60.223 * * [simplify]: Extracting #5: cost 24 inf + 10953 60.230 * * [simplify]: Extracting #6: cost 3 inf + 24921 60.237 * * [simplify]: Extracting #7: cost 0 inf + 26911 60.245 * * [simplify]: Extracting #8: cost 0 inf + 26650 60.252 * [simplify]: Simplified to (pow (* 2 (* n PI)) (- 1 k)) 60.252 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (- 1 k)) (/ 1 2)))) 60.253 * * * * [progress]: [ 31 / 188 ] simplifiying candidate # 60.253 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 60.253 * * [simplify]: iters left: 5 (8 enodes) 60.258 * * [simplify]: iters left: 4 (36 enodes) 60.270 * * [simplify]: iters left: 3 (57 enodes) 60.289 * * [simplify]: iters left: 2 (92 enodes) 60.330 * * [simplify]: iters left: 1 (188 enodes) 60.372 * * [simplify]: Extracting #0: cost 1 inf + 0 60.372 * * [simplify]: Extracting #1: cost 13 inf + 0 60.372 * * [simplify]: Extracting #2: cost 57 inf + 1 60.373 * * [simplify]: Extracting #3: cost 92 inf + 6 60.373 * * [simplify]: Extracting #4: cost 85 inf + 1386 60.375 * * [simplify]: Extracting #5: cost 34 inf + 8770 60.381 * * [simplify]: Extracting #6: cost 1 inf + 23636 60.388 * * [simplify]: Extracting #7: cost 0 inf + 24512 60.393 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 60.393 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 60.393 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 60.393 * * [simplify]: iters left: 5 (7 enodes) 60.395 * * [simplify]: iters left: 4 (32 enodes) 60.401 * * [simplify]: iters left: 3 (57 enodes) 60.410 * * [simplify]: iters left: 2 (90 enodes) 60.437 * * [simplify]: iters left: 1 (170 enodes) 60.476 * * [simplify]: Extracting #0: cost 1 inf + 0 60.476 * * [simplify]: Extracting #1: cost 13 inf + 0 60.476 * * [simplify]: Extracting #2: cost 54 inf + 2 60.477 * * [simplify]: Extracting #3: cost 89 inf + 6 60.477 * * [simplify]: Extracting #4: cost 78 inf + 1344 60.481 * * [simplify]: Extracting #5: cost 20 inf + 14664 60.488 * * [simplify]: Extracting #6: cost 1 inf + 22045 60.495 * * [simplify]: Extracting #7: cost 0 inf + 21300 60.501 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 60.501 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 60.501 * * * * [progress]: [ 32 / 188 ] simplifiying candidate # 60.501 * * * * [progress]: [ 33 / 188 ] simplifiying candidate # 60.501 * [simplify]: Simplifying (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 60.501 * * [simplify]: iters left: 6 (11 enodes) 60.505 * * [simplify]: iters left: 5 (50 enodes) 60.516 * * [simplify]: iters left: 4 (97 enodes) 60.534 * * [simplify]: iters left: 3 (196 enodes) 60.583 * * [simplify]: Extracting #0: cost 1 inf + 0 60.584 * * [simplify]: Extracting #1: cost 46 inf + 0 60.584 * * [simplify]: Extracting #2: cost 129 inf + 1 60.585 * * [simplify]: Extracting #3: cost 176 inf + 560 60.589 * * [simplify]: Extracting #4: cost 103 inf + 13213 60.599 * * [simplify]: Extracting #5: cost 9 inf + 32693 60.615 * * [simplify]: Extracting #6: cost 0 inf + 37350 60.627 * * [simplify]: Extracting #7: cost 0 inf + 37231 60.639 * [simplify]: Simplified to (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2) 60.639 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2)))) 60.639 * * * * [progress]: [ 34 / 188 ] simplifiying candidate # 60.640 * [simplify]: Simplifying (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 60.640 * * [simplify]: iters left: 6 (11 enodes) 60.646 * * [simplify]: iters left: 5 (48 enodes) 60.662 * * [simplify]: iters left: 4 (79 enodes) 60.687 * * [simplify]: iters left: 3 (126 enodes) 60.726 * * [simplify]: iters left: 2 (245 enodes) 60.776 * * [simplify]: iters left: 1 (484 enodes) 60.976 * * [simplify]: Extracting #0: cost 1 inf + 0 60.976 * * [simplify]: Extracting #1: cost 26 inf + 0 60.977 * * [simplify]: Extracting #2: cost 135 inf + 0 60.978 * * [simplify]: Extracting #3: cost 272 inf + 4 60.979 * * [simplify]: Extracting #4: cost 292 inf + 182 60.980 * * [simplify]: Extracting #5: cost 283 inf + 1098 60.983 * * [simplify]: Extracting #6: cost 213 inf + 12305 60.992 * * [simplify]: Extracting #7: cost 97 inf + 75459 61.011 * * [simplify]: Extracting #8: cost 8 inf + 144779 61.033 * * [simplify]: Extracting #9: cost 0 inf + 148858 61.053 * * [simplify]: Extracting #10: cost 0 inf + 148436 61.073 * [simplify]: Simplified to (exp (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 61.073 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (log (exp (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))))) 61.073 * * * * [progress]: [ 35 / 188 ] simplifiying candidate # 61.073 * [simplify]: Simplifying (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 61.073 * * [simplify]: iters left: 6 (12 enodes) 61.077 * * [simplify]: iters left: 5 (51 enodes) 61.086 * * [simplify]: iters left: 4 (84 enodes) 61.101 * * [simplify]: iters left: 3 (127 enodes) 61.124 * * [simplify]: iters left: 2 (212 enodes) 61.178 * * [simplify]: iters left: 1 (389 enodes) 61.373 * * [simplify]: Extracting #0: cost 1 inf + 0 61.374 * * [simplify]: Extracting #1: cost 3 inf + 0 61.374 * * [simplify]: Extracting #2: cost 5 inf + 0 61.374 * * [simplify]: Extracting #3: cost 33 inf + 0 61.374 * * [simplify]: Extracting #4: cost 118 inf + 1 61.376 * * [simplify]: Extracting #5: cost 169 inf + 176 61.377 * * [simplify]: Extracting #6: cost 164 inf + 972 61.381 * * [simplify]: Extracting #7: cost 99 inf + 7366 61.390 * * [simplify]: Extracting #8: cost 48 inf + 29585 61.410 * * [simplify]: Extracting #9: cost 6 inf + 65740 61.435 * * [simplify]: Extracting #10: cost 0 inf + 70886 61.456 * [simplify]: Simplified to (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 61.456 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 61.456 * [simplify]: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 61.456 * * [simplify]: iters left: 6 (11 enodes) 61.463 * * [simplify]: iters left: 5 (48 enodes) 61.478 * * [simplify]: iters left: 4 (77 enodes) 61.502 * * [simplify]: iters left: 3 (120 enodes) 61.545 * * [simplify]: iters left: 2 (218 enodes) 61.619 * * [simplify]: iters left: 1 (397 enodes) 61.786 * * [simplify]: Extracting #0: cost 1 inf + 0 61.786 * * [simplify]: Extracting #1: cost 3 inf + 0 61.786 * * [simplify]: Extracting #2: cost 32 inf + 0 61.786 * * [simplify]: Extracting #3: cost 111 inf + 1 61.787 * * [simplify]: Extracting #4: cost 183 inf + 134 61.788 * * [simplify]: Extracting #5: cost 173 inf + 1098 61.790 * * [simplify]: Extracting #6: cost 91 inf + 14362 61.799 * * [simplify]: Extracting #7: cost 8 inf + 56814 61.825 * * [simplify]: Extracting #8: cost 0 inf + 57730 61.853 * * [simplify]: Extracting #9: cost 0 inf + 57046 61.873 * [simplify]: Simplified to (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) 61.873 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))))) 61.873 * * * * [progress]: [ 36 / 188 ] simplifiying candidate # 61.873 * [simplify]: Simplifying (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 61.873 * * [simplify]: iters left: 6 (12 enodes) 61.877 * * [simplify]: iters left: 5 (54 enodes) 61.887 * * [simplify]: iters left: 4 (107 enodes) 61.913 * * [simplify]: iters left: 3 (224 enodes) 61.962 * * [simplify]: iters left: 2 (476 enodes) 62.273 * * [simplify]: Extracting #0: cost 1 inf + 0 62.273 * * [simplify]: Extracting #1: cost 46 inf + 0 62.274 * * [simplify]: Extracting #2: cost 142 inf + 3 62.275 * * [simplify]: Extracting #3: cost 198 inf + 5 62.276 * * [simplify]: Extracting #4: cost 204 inf + 517 62.279 * * [simplify]: Extracting #5: cost 134 inf + 21004 62.315 * * [simplify]: Extracting #6: cost 23 inf + 94228 62.383 * * [simplify]: Extracting #7: cost 0 inf + 109080 62.429 * * [simplify]: Extracting #8: cost 0 inf + 105938 62.474 * [simplify]: Simplified to (pow (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) 3) 62.474 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (cbrt (pow (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) 3)))) 62.475 * * * * [progress]: [ 37 / 188 ] simplifiying candidate # 62.475 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 62.475 * * [simplify]: iters left: 6 (11 enodes) 62.481 * * [simplify]: iters left: 5 (48 enodes) 62.492 * * [simplify]: iters left: 4 (78 enodes) 62.507 * * [simplify]: iters left: 3 (121 enodes) 62.541 * * [simplify]: iters left: 2 (222 enodes) 62.592 * * [simplify]: iters left: 1 (408 enodes) 62.748 * * [simplify]: Extracting #0: cost 1 inf + 0 62.748 * * [simplify]: Extracting #1: cost 4 inf + 0 62.748 * * [simplify]: Extracting #2: cost 33 inf + 0 62.749 * * [simplify]: Extracting #3: cost 127 inf + 1 62.750 * * [simplify]: Extracting #4: cost 174 inf + 136 62.753 * * [simplify]: Extracting #5: cost 149 inf + 2501 62.760 * * [simplify]: Extracting #6: cost 66 inf + 19553 62.777 * * [simplify]: Extracting #7: cost 15 inf + 51511 62.805 * * [simplify]: Extracting #8: cost 0 inf + 64235 62.829 * * [simplify]: Extracting #9: cost 0 inf + 62874 62.852 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 62.852 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 62.853 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 62.853 * * [simplify]: iters left: 6 (11 enodes) 62.859 * * [simplify]: iters left: 5 (48 enodes) 62.871 * * [simplify]: iters left: 4 (78 enodes) 62.885 * * [simplify]: iters left: 3 (121 enodes) 62.909 * * [simplify]: iters left: 2 (222 enodes) 62.954 * * [simplify]: iters left: 1 (408 enodes) 63.085 * * [simplify]: Extracting #0: cost 1 inf + 0 63.085 * * [simplify]: Extracting #1: cost 4 inf + 0 63.085 * * [simplify]: Extracting #2: cost 33 inf + 0 63.086 * * [simplify]: Extracting #3: cost 127 inf + 1 63.088 * * [simplify]: Extracting #4: cost 174 inf + 136 63.090 * * [simplify]: Extracting #5: cost 149 inf + 2501 63.097 * * [simplify]: Extracting #6: cost 66 inf + 19553 63.115 * * [simplify]: Extracting #7: cost 15 inf + 51511 63.136 * * [simplify]: Extracting #8: cost 0 inf + 64235 63.160 * * [simplify]: Extracting #9: cost 0 inf + 62874 63.186 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 63.186 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 63.187 * * * * [progress]: [ 38 / 188 ] simplifiying candidate # 63.187 * * * * [progress]: [ 39 / 188 ] simplifiying candidate # 63.187 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 63.187 * * [simplify]: iters left: 6 (11 enodes) 63.194 * * [simplify]: iters left: 5 (51 enodes) 63.210 * * [simplify]: iters left: 4 (87 enodes) 63.229 * * [simplify]: iters left: 3 (146 enodes) 63.256 * * [simplify]: iters left: 2 (263 enodes) 63.329 * * [simplify]: iters left: 1 (489 enodes) 63.519 * * [simplify]: Extracting #0: cost 1 inf + 0 63.519 * * [simplify]: Extracting #1: cost 28 inf + 0 63.520 * * [simplify]: Extracting #2: cost 120 inf + 1 63.520 * * [simplify]: Extracting #3: cost 207 inf + 137 63.522 * * [simplify]: Extracting #4: cost 205 inf + 979 63.526 * * [simplify]: Extracting #5: cost 88 inf + 22172 63.535 * * [simplify]: Extracting #6: cost 21 inf + 52041 63.547 * * [simplify]: Extracting #7: cost 0 inf + 70182 63.566 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 63.566 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 63.566 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 63.566 * * [simplify]: iters left: 6 (11 enodes) 63.573 * * [simplify]: iters left: 5 (51 enodes) 63.590 * * [simplify]: iters left: 4 (87 enodes) 63.619 * * [simplify]: iters left: 3 (146 enodes) 63.675 * * [simplify]: iters left: 2 (263 enodes) 63.739 * * [simplify]: iters left: 1 (489 enodes) 63.950 * * [simplify]: Extracting #0: cost 1 inf + 0 63.950 * * [simplify]: Extracting #1: cost 28 inf + 0 63.951 * * [simplify]: Extracting #2: cost 120 inf + 1 63.952 * * [simplify]: Extracting #3: cost 207 inf + 137 63.954 * * [simplify]: Extracting #4: cost 205 inf + 979 63.962 * * [simplify]: Extracting #5: cost 88 inf + 22172 63.980 * * [simplify]: Extracting #6: cost 21 inf + 52041 64.003 * * [simplify]: Extracting #7: cost 0 inf + 70182 64.029 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 64.029 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (* 1/4 (- 1 k)))))) 64.029 * * * * [progress]: [ 40 / 188 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 64.030 * [simplify]: Simplifying (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 64.030 * * [simplify]: iters left: 6 (11 enodes) 64.036 * * [simplify]: iters left: 5 (45 enodes) 64.051 * * [simplify]: iters left: 4 (74 enodes) 64.075 * * [simplify]: iters left: 3 (118 enodes) 64.118 * * [simplify]: iters left: 2 (216 enodes) 64.170 * * [simplify]: iters left: 1 (387 enodes) 64.353 * * [simplify]: Extracting #0: cost 1 inf + 0 64.353 * * [simplify]: Extracting #1: cost 2 inf + 0 64.353 * * [simplify]: Extracting #2: cost 29 inf + 0 64.353 * * [simplify]: Extracting #3: cost 109 inf + 1 64.357 * * [simplify]: Extracting #4: cost 169 inf + 218 64.358 * * [simplify]: Extracting #5: cost 168 inf + 561 64.361 * * [simplify]: Extracting #6: cost 104 inf + 9363 64.373 * * [simplify]: Extracting #7: cost 32 inf + 34447 64.386 * * [simplify]: Extracting #8: cost 0 inf + 55543 64.403 * * [simplify]: Extracting #9: cost 0 inf + 54379 64.423 * [simplify]: Simplified to (real->posit16 (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 64.423 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))))) 64.423 * * * * [progress]: [ 41 / 188 ] simplifiying candidate # 64.423 * * * * [progress]: [ 42 / 188 ] simplifiying candidate # 64.423 * [simplify]: Simplifying (- 1/2) 64.423 * * [simplify]: iters left: 2 (2 enodes) 64.425 * * [simplify]: iters left: 1 (7 enodes) 64.427 * * [simplify]: Extracting #0: cost 1 inf + 0 64.427 * * [simplify]: Extracting #1: cost 0 inf + 1 64.427 * [simplify]: Simplified to -1/2 64.427 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.427 * * * * [progress]: [ 43 / 188 ] simplifiying candidate # 64.427 * [simplify]: Simplifying (- 1) 64.427 * * [simplify]: iters left: 2 (2 enodes) 64.429 * * [simplify]: iters left: 1 (9 enodes) 64.430 * * [simplify]: Extracting #0: cost 1 inf + 0 64.430 * * [simplify]: Extracting #1: cost 0 inf + 1 64.430 * [simplify]: Simplified to -1 64.430 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.430 * * * * [progress]: [ 44 / 188 ] simplifiying candidate # 64.431 * [simplify]: Simplifying (- (/ 1 2)) 64.431 * * [simplify]: iters left: 4 (4 enodes) 64.433 * * [simplify]: iters left: 3 (19 enodes) 64.437 * * [simplify]: iters left: 2 (23 enodes) 64.440 * * [simplify]: Extracting #0: cost 1 inf + 0 64.440 * * [simplify]: Extracting #1: cost 0 inf + 1 64.440 * [simplify]: Simplified to -1/2 64.440 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.441 * * * * [progress]: [ 45 / 188 ] simplifiying candidate # 64.441 * * * * [progress]: [ 46 / 188 ] simplifiying candidate # 64.441 * [simplify]: Simplifying (- (log (sqrt k))) 64.441 * * [simplify]: iters left: 4 (4 enodes) 64.442 * * [simplify]: iters left: 3 (12 enodes) 64.443 * * [simplify]: Extracting #0: cost 1 inf + 0 64.443 * * [simplify]: Extracting #1: cost 3 inf + 0 64.443 * * [simplify]: Extracting #2: cost 5 inf + 0 64.443 * * [simplify]: Extracting #3: cost 7 inf + 0 64.443 * * [simplify]: Extracting #4: cost 6 inf + 1 64.443 * * [simplify]: Extracting #5: cost 0 inf + 607 64.444 * [simplify]: Simplified to (- (log (sqrt k))) 64.444 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.444 * * * * [progress]: [ 47 / 188 ] simplifiying candidate # 64.444 * [simplify]: Simplifying (- 0 (log (sqrt k))) 64.444 * * [simplify]: iters left: 4 (5 enodes) 64.445 * * [simplify]: iters left: 3 (17 enodes) 64.448 * * [simplify]: iters left: 2 (21 enodes) 64.451 * * [simplify]: iters left: 1 (23 enodes) 64.455 * * [simplify]: Extracting #0: cost 1 inf + 0 64.455 * * [simplify]: Extracting #1: cost 4 inf + 0 64.455 * * [simplify]: Extracting #2: cost 5 inf + 1 64.455 * * [simplify]: Extracting #3: cost 7 inf + 1 64.455 * * [simplify]: Extracting #4: cost 0 inf + 608 64.455 * [simplify]: Simplified to (- (log (sqrt k))) 64.455 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.455 * * * * [progress]: [ 48 / 188 ] simplifiying candidate # 64.455 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 64.455 * * [simplify]: iters left: 4 (6 enodes) 64.457 * * [simplify]: iters left: 3 (22 enodes) 64.460 * * [simplify]: Extracting #0: cost 1 inf + 0 64.460 * * [simplify]: Extracting #1: cost 4 inf + 0 64.460 * * [simplify]: Extracting #2: cost 5 inf + 1 64.460 * * [simplify]: Extracting #3: cost 7 inf + 1 64.460 * * [simplify]: Extracting #4: cost 6 inf + 2 64.461 * * [simplify]: Extracting #5: cost 1 inf + 457 64.461 * * [simplify]: Extracting #6: cost 0 inf + 608 64.461 * [simplify]: Simplified to (- (log (sqrt k))) 64.461 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.461 * * * * [progress]: [ 49 / 188 ] simplifiying candidate # 64.461 * [simplify]: Simplifying (log (/ 1 (sqrt k))) 64.461 * * [simplify]: iters left: 4 (5 enodes) 64.463 * * [simplify]: iters left: 3 (21 enodes) 64.468 * * [simplify]: iters left: 2 (25 enodes) 64.472 * * [simplify]: iters left: 1 (26 enodes) 64.477 * * [simplify]: Extracting #0: cost 1 inf + 0 64.477 * * [simplify]: Extracting #1: cost 5 inf + 0 64.477 * * [simplify]: Extracting #2: cost 8 inf + 1 64.477 * * [simplify]: Extracting #3: cost 9 inf + 2 64.477 * * [simplify]: Extracting #4: cost 8 inf + 3 64.477 * * [simplify]: Extracting #5: cost 2 inf + 512 64.477 * * [simplify]: Extracting #6: cost 0 inf + 774 64.478 * * [simplify]: Extracting #7: cost 0 inf + 773 64.478 * [simplify]: Simplified to (- (log (sqrt k))) 64.478 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.478 * * * * [progress]: [ 50 / 188 ] simplifiying candidate # 64.478 * [simplify]: Simplifying (exp (/ 1 (sqrt k))) 64.479 * * [simplify]: iters left: 4 (5 enodes) 64.481 * * [simplify]: iters left: 3 (17 enodes) 64.486 * * [simplify]: iters left: 2 (19 enodes) 64.492 * * [simplify]: Extracting #0: cost 1 inf + 0 64.492 * * [simplify]: Extracting #1: cost 3 inf + 0 64.492 * * [simplify]: Extracting #2: cost 6 inf + 0 64.492 * * [simplify]: Extracting #3: cost 7 inf + 1 64.492 * * [simplify]: Extracting #4: cost 0 inf + 552 64.492 * [simplify]: Simplified to (exp (/ 1 (sqrt k))) 64.493 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (log (exp (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.493 * * * * [progress]: [ 51 / 188 ] simplifiying candidate # 64.493 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 64.493 * * [simplify]: iters left: 6 (8 enodes) 64.498 * * [simplify]: iters left: 5 (26 enodes) 64.505 * * [simplify]: iters left: 4 (43 enodes) 64.512 * * [simplify]: iters left: 3 (59 enodes) 64.520 * * [simplify]: iters left: 2 (67 enodes) 64.534 * * [simplify]: iters left: 1 (69 enodes) 64.551 * * [simplify]: Extracting #0: cost 1 inf + 0 64.552 * * [simplify]: Extracting #1: cost 14 inf + 0 64.552 * * [simplify]: Extracting #2: cost 18 inf + 2 64.552 * * [simplify]: Extracting #3: cost 7 inf + 701 64.553 * * [simplify]: Extracting #4: cost 0 inf + 1234 64.553 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 64.553 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.554 * * * * [progress]: [ 52 / 188 ] simplifiying candidate # 64.554 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 64.554 * * [simplify]: iters left: 6 (6 enodes) 64.557 * * [simplify]: iters left: 5 (20 enodes) 64.561 * * [simplify]: iters left: 4 (22 enodes) 64.565 * * [simplify]: Extracting #0: cost 1 inf + 0 64.565 * * [simplify]: Extracting #1: cost 3 inf + 0 64.565 * * [simplify]: Extracting #2: cost 5 inf + 0 64.565 * * [simplify]: Extracting #3: cost 8 inf + 0 64.565 * * [simplify]: Extracting #4: cost 9 inf + 1 64.565 * * [simplify]: Extracting #5: cost 8 inf + 2 64.565 * * [simplify]: Extracting #6: cost 1 inf + 774 64.565 * * [simplify]: Extracting #7: cost 0 inf + 976 64.565 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 64.565 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.565 * [simplify]: Simplifying (cbrt (/ 1 (sqrt k))) 64.565 * * [simplify]: iters left: 4 (5 enodes) 64.567 * * [simplify]: iters left: 3 (17 enodes) 64.569 * * [simplify]: iters left: 2 (19 enodes) 64.572 * * [simplify]: Extracting #0: cost 1 inf + 0 64.572 * * [simplify]: Extracting #1: cost 3 inf + 0 64.572 * * [simplify]: Extracting #2: cost 6 inf + 0 64.572 * * [simplify]: Extracting #3: cost 7 inf + 1 64.572 * * [simplify]: Extracting #4: cost 0 inf + 572 64.572 * [simplify]: Simplified to (cbrt (/ 1 (sqrt k))) 64.572 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.572 * * * * [progress]: [ 53 / 188 ] simplifiying candidate # 64.573 * [simplify]: Simplifying (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) 64.573 * * [simplify]: iters left: 6 (6 enodes) 64.574 * * [simplify]: iters left: 5 (27 enodes) 64.583 * * [simplify]: iters left: 4 (40 enodes) 64.597 * * [simplify]: iters left: 3 (61 enodes) 64.616 * * [simplify]: iters left: 2 (92 enodes) 64.648 * * [simplify]: iters left: 1 (138 enodes) 64.693 * * [simplify]: Extracting #0: cost 1 inf + 0 64.693 * * [simplify]: Extracting #1: cost 21 inf + 0 64.693 * * [simplify]: Extracting #2: cost 43 inf + 3 64.694 * * [simplify]: Extracting #3: cost 26 inf + 3391 64.696 * * [simplify]: Extracting #4: cost 3 inf + 11339 64.698 * * [simplify]: Extracting #5: cost 0 inf + 12509 64.700 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 64.700 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.700 * * * * [progress]: [ 54 / 188 ] simplifiying candidate # 64.700 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 64.700 * * [simplify]: iters left: 4 (5 enodes) 64.701 * * [simplify]: iters left: 3 (17 enodes) 64.706 * * [simplify]: iters left: 2 (19 enodes) 64.709 * * [simplify]: Extracting #0: cost 1 inf + 0 64.709 * * [simplify]: Extracting #1: cost 3 inf + 0 64.709 * * [simplify]: Extracting #2: cost 6 inf + 0 64.709 * * [simplify]: Extracting #3: cost 7 inf + 1 64.709 * * [simplify]: Extracting #4: cost 0 inf + 492 64.709 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 64.709 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.710 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 64.710 * * [simplify]: iters left: 4 (5 enodes) 64.711 * * [simplify]: iters left: 3 (17 enodes) 64.714 * * [simplify]: iters left: 2 (19 enodes) 64.716 * * [simplify]: Extracting #0: cost 1 inf + 0 64.716 * * [simplify]: Extracting #1: cost 3 inf + 0 64.717 * * [simplify]: Extracting #2: cost 6 inf + 0 64.717 * * [simplify]: Extracting #3: cost 7 inf + 1 64.717 * * [simplify]: Extracting #4: cost 0 inf + 492 64.717 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 64.717 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.717 * * * * [progress]: [ 55 / 188 ] simplifiying candidate # 64.717 * [simplify]: Simplifying (- 1) 64.717 * * [simplify]: iters left: 2 (2 enodes) 64.718 * * [simplify]: iters left: 1 (9 enodes) 64.720 * * [simplify]: Extracting #0: cost 1 inf + 0 64.720 * * [simplify]: Extracting #1: cost 0 inf + 1 64.720 * [simplify]: Simplified to -1 64.720 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ -1 (- (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.721 * [simplify]: Simplifying (- (sqrt k)) 64.721 * * [simplify]: iters left: 3 (3 enodes) 64.721 * * [simplify]: iters left: 2 (9 enodes) 64.722 * * [simplify]: Extracting #0: cost 1 inf + 0 64.722 * * [simplify]: Extracting #1: cost 3 inf + 0 64.722 * * [simplify]: Extracting #2: cost 5 inf + 0 64.722 * * [simplify]: Extracting #3: cost 4 inf + 1 64.722 * * [simplify]: Extracting #4: cost 0 inf + 245 64.723 * [simplify]: Simplified to (- (sqrt k)) 64.723 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ -1 (- (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.723 * * * * [progress]: [ 56 / 188 ] simplifiying candidate # 64.723 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 64.723 * * [simplify]: iters left: 6 (8 enodes) 64.725 * * [simplify]: iters left: 5 (32 enodes) 64.735 * * [simplify]: iters left: 4 (48 enodes) 64.749 * * [simplify]: iters left: 3 (76 enodes) 64.772 * * [simplify]: iters left: 2 (81 enodes) 64.785 * * [simplify]: Extracting #0: cost 1 inf + 0 64.785 * * [simplify]: Extracting #1: cost 6 inf + 0 64.785 * * [simplify]: Extracting #2: cost 9 inf + 1 64.785 * * [simplify]: Extracting #3: cost 11 inf + 1 64.785 * * [simplify]: Extracting #4: cost 2 inf + 1052 64.786 * * [simplify]: Extracting #5: cost 0 inf + 1376 64.786 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 64.786 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.787 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 64.787 * * [simplify]: iters left: 4 (6 enodes) 64.790 * * [simplify]: iters left: 3 (20 enodes) 64.796 * * [simplify]: iters left: 2 (22 enodes) 64.802 * * [simplify]: Extracting #0: cost 1 inf + 0 64.802 * * [simplify]: Extracting #1: cost 4 inf + 0 64.802 * * [simplify]: Extracting #2: cost 5 inf + 1 64.802 * * [simplify]: Extracting #3: cost 7 inf + 1 64.802 * * [simplify]: Extracting #4: cost 1 inf + 488 64.802 * * [simplify]: Extracting #5: cost 0 inf + 650 64.803 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 64.803 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.803 * * * * [progress]: [ 57 / 188 ] simplifiying candidate # 64.803 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 64.803 * * [simplify]: iters left: 6 (8 enodes) 64.808 * * [simplify]: iters left: 5 (29 enodes) 64.817 * * [simplify]: iters left: 4 (31 enodes) 64.824 * * [simplify]: iters left: 3 (32 enodes) 64.828 * * [simplify]: iters left: 2 (33 enodes) 64.834 * * [simplify]: Extracting #0: cost 1 inf + 0 64.835 * * [simplify]: Extracting #1: cost 4 inf + 0 64.835 * * [simplify]: Extracting #2: cost 6 inf + 1 64.835 * * [simplify]: Extracting #3: cost 9 inf + 1 64.835 * * [simplify]: Extracting #4: cost 8 inf + 2 64.835 * * [simplify]: Extracting #5: cost 2 inf + 729 64.835 * * [simplify]: Extracting #6: cost 0 inf + 972 64.835 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 64.835 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.835 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 64.835 * * [simplify]: iters left: 4 (6 enodes) 64.837 * * [simplify]: iters left: 3 (20 enodes) 64.840 * * [simplify]: iters left: 2 (22 enodes) 64.843 * * [simplify]: Extracting #0: cost 1 inf + 0 64.843 * * [simplify]: Extracting #1: cost 4 inf + 0 64.843 * * [simplify]: Extracting #2: cost 5 inf + 1 64.843 * * [simplify]: Extracting #3: cost 7 inf + 1 64.843 * * [simplify]: Extracting #4: cost 1 inf + 568 64.844 * * [simplify]: Extracting #5: cost 0 inf + 730 64.844 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 64.844 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.844 * * * * [progress]: [ 58 / 188 ] simplifiying candidate # 64.844 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 64.844 * * [simplify]: iters left: 5 (7 enodes) 64.847 * * [simplify]: iters left: 4 (25 enodes) 64.851 * * [simplify]: iters left: 3 (27 enodes) 64.857 * * [simplify]: iters left: 2 (28 enodes) 64.864 * * [simplify]: iters left: 1 (29 enodes) 64.872 * * [simplify]: Extracting #0: cost 1 inf + 0 64.872 * * [simplify]: Extracting #1: cost 4 inf + 0 64.872 * * [simplify]: Extracting #2: cost 5 inf + 1 64.872 * * [simplify]: Extracting #3: cost 7 inf + 1 64.872 * * [simplify]: Extracting #4: cost 6 inf + 2 64.872 * * [simplify]: Extracting #5: cost 2 inf + 368 64.872 * * [simplify]: Extracting #6: cost 0 inf + 490 64.873 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 64.873 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.873 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 64.873 * * [simplify]: iters left: 4 (6 enodes) 64.877 * * [simplify]: iters left: 3 (20 enodes) 64.883 * * [simplify]: iters left: 2 (22 enodes) 64.889 * * [simplify]: Extracting #0: cost 1 inf + 0 64.889 * * [simplify]: Extracting #1: cost 4 inf + 0 64.889 * * [simplify]: Extracting #2: cost 5 inf + 1 64.889 * * [simplify]: Extracting #3: cost 7 inf + 1 64.889 * * [simplify]: Extracting #4: cost 1 inf + 368 64.889 * * [simplify]: Extracting #5: cost 0 inf + 490 64.889 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 64.889 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.890 * * * * [progress]: [ 59 / 188 ] simplifiying candidate # 64.890 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 64.890 * * [simplify]: iters left: 5 (5 enodes) 64.899 * * [simplify]: iters left: 4 (19 enodes) 64.903 * * [simplify]: iters left: 3 (21 enodes) 64.905 * * [simplify]: Extracting #0: cost 1 inf + 0 64.906 * * [simplify]: Extracting #1: cost 0 inf + 1 64.906 * [simplify]: Simplified to 1 64.906 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.906 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 64.906 * * [simplify]: iters left: 3 (5 enodes) 64.908 * * [simplify]: iters left: 2 (17 enodes) 64.911 * * [simplify]: iters left: 1 (19 enodes) 64.913 * * [simplify]: Extracting #0: cost 1 inf + 0 64.913 * * [simplify]: Extracting #1: cost 4 inf + 0 64.913 * * [simplify]: Extracting #2: cost 5 inf + 1 64.913 * * [simplify]: Extracting #3: cost 0 inf + 248 64.914 * [simplify]: Simplified to (/ 1 (sqrt k)) 64.914 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.914 * * * * [progress]: [ 60 / 188 ] simplifiying candidate # 64.914 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 64.914 * * [simplify]: iters left: 5 (7 enodes) 64.916 * * [simplify]: iters left: 4 (25 enodes) 64.921 * * [simplify]: iters left: 3 (27 enodes) 64.924 * * [simplify]: iters left: 2 (28 enodes) 64.928 * * [simplify]: iters left: 1 (29 enodes) 64.933 * * [simplify]: Extracting #0: cost 1 inf + 0 64.933 * * [simplify]: Extracting #1: cost 4 inf + 0 64.933 * * [simplify]: Extracting #2: cost 5 inf + 1 64.933 * * [simplify]: Extracting #3: cost 7 inf + 1 64.933 * * [simplify]: Extracting #4: cost 6 inf + 2 64.933 * * [simplify]: Extracting #5: cost 2 inf + 368 64.933 * * [simplify]: Extracting #6: cost 0 inf + 490 64.933 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 64.933 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.933 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 64.933 * * [simplify]: iters left: 4 (6 enodes) 64.937 * * [simplify]: iters left: 3 (20 enodes) 64.945 * * [simplify]: iters left: 2 (22 enodes) 64.951 * * [simplify]: Extracting #0: cost 1 inf + 0 64.951 * * [simplify]: Extracting #1: cost 4 inf + 0 64.951 * * [simplify]: Extracting #2: cost 5 inf + 1 64.951 * * [simplify]: Extracting #3: cost 7 inf + 1 64.951 * * [simplify]: Extracting #4: cost 1 inf + 368 64.951 * * [simplify]: Extracting #5: cost 0 inf + 490 64.951 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 64.952 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.952 * * * * [progress]: [ 61 / 188 ] simplifiying candidate # 64.952 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 64.952 * * [simplify]: iters left: 5 (4 enodes) 64.960 * * [simplify]: iters left: 4 (14 enodes) 64.962 * * [simplify]: iters left: 3 (16 enodes) 64.966 * * [simplify]: Extracting #0: cost 1 inf + 0 64.966 * * [simplify]: Extracting #1: cost 0 inf + 1 64.966 * [simplify]: Simplified to 1 64.966 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.967 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 64.967 * * [simplify]: iters left: 3 (5 enodes) 64.971 * * [simplify]: iters left: 2 (17 enodes) 64.975 * * [simplify]: iters left: 1 (19 enodes) 64.978 * * [simplify]: Extracting #0: cost 1 inf + 0 64.978 * * [simplify]: Extracting #1: cost 4 inf + 0 64.978 * * [simplify]: Extracting #2: cost 5 inf + 1 64.978 * * [simplify]: Extracting #3: cost 0 inf + 248 64.978 * [simplify]: Simplified to (/ 1 (sqrt k)) 64.978 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.978 * * * * [progress]: [ 62 / 188 ] simplifiying candidate # 64.978 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 64.979 * * [simplify]: iters left: 6 (7 enodes) 64.981 * * [simplify]: iters left: 5 (25 enodes) 64.985 * * [simplify]: iters left: 4 (32 enodes) 64.990 * * [simplify]: iters left: 3 (34 enodes) 64.994 * * [simplify]: Extracting #0: cost 1 inf + 0 64.995 * * [simplify]: Extracting #1: cost 7 inf + 0 64.995 * * [simplify]: Extracting #2: cost 11 inf + 1 64.995 * * [simplify]: Extracting #3: cost 13 inf + 1 64.995 * * [simplify]: Extracting #4: cost 10 inf + 84 64.995 * * [simplify]: Extracting #5: cost 4 inf + 1014 64.995 * * [simplify]: Extracting #6: cost 1 inf + 1498 64.995 * * [simplify]: Extracting #7: cost 0 inf + 1700 64.996 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 64.996 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.996 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 64.996 * * [simplify]: iters left: 4 (6 enodes) 64.998 * * [simplify]: iters left: 3 (20 enodes) 65.001 * * [simplify]: iters left: 2 (22 enodes) 65.005 * * [simplify]: Extracting #0: cost 1 inf + 0 65.006 * * [simplify]: Extracting #1: cost 4 inf + 0 65.006 * * [simplify]: Extracting #2: cost 5 inf + 1 65.006 * * [simplify]: Extracting #3: cost 7 inf + 1 65.006 * * [simplify]: Extracting #4: cost 1 inf + 488 65.006 * * [simplify]: Extracting #5: cost 0 inf + 650 65.006 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 65.006 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.006 * * * * [progress]: [ 63 / 188 ] simplifiying candidate # 65.007 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 65.007 * * [simplify]: iters left: 6 (7 enodes) 65.011 * * [simplify]: iters left: 5 (24 enodes) 65.014 * * [simplify]: iters left: 4 (26 enodes) 65.018 * * [simplify]: Extracting #0: cost 1 inf + 0 65.018 * * [simplify]: Extracting #1: cost 4 inf + 0 65.018 * * [simplify]: Extracting #2: cost 6 inf + 1 65.018 * * [simplify]: Extracting #3: cost 9 inf + 1 65.018 * * [simplify]: Extracting #4: cost 8 inf + 2 65.018 * * [simplify]: Extracting #5: cost 2 inf + 730 65.019 * * [simplify]: Extracting #6: cost 0 inf + 972 65.019 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 65.019 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.019 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 65.019 * * [simplify]: iters left: 4 (6 enodes) 65.021 * * [simplify]: iters left: 3 (20 enodes) 65.024 * * [simplify]: iters left: 2 (22 enodes) 65.027 * * [simplify]: Extracting #0: cost 1 inf + 0 65.027 * * [simplify]: Extracting #1: cost 4 inf + 0 65.027 * * [simplify]: Extracting #2: cost 5 inf + 1 65.027 * * [simplify]: Extracting #3: cost 7 inf + 1 65.027 * * [simplify]: Extracting #4: cost 1 inf + 568 65.027 * * [simplify]: Extracting #5: cost 0 inf + 730 65.028 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 65.028 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.028 * * * * [progress]: [ 64 / 188 ] simplifiying candidate # 65.028 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 65.028 * * [simplify]: iters left: 4 (6 enodes) 65.030 * * [simplify]: iters left: 3 (20 enodes) 65.033 * * [simplify]: iters left: 2 (22 enodes) 65.038 * * [simplify]: Extracting #0: cost 1 inf + 0 65.038 * * [simplify]: Extracting #1: cost 4 inf + 0 65.038 * * [simplify]: Extracting #2: cost 5 inf + 1 65.039 * * [simplify]: Extracting #3: cost 7 inf + 1 65.039 * * [simplify]: Extracting #4: cost 1 inf + 368 65.039 * * [simplify]: Extracting #5: cost 0 inf + 490 65.039 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 65.039 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.040 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 65.040 * * [simplify]: iters left: 4 (6 enodes) 65.043 * * [simplify]: iters left: 3 (20 enodes) 65.049 * * [simplify]: iters left: 2 (22 enodes) 65.057 * * [simplify]: Extracting #0: cost 1 inf + 0 65.057 * * [simplify]: Extracting #1: cost 4 inf + 0 65.057 * * [simplify]: Extracting #2: cost 5 inf + 1 65.057 * * [simplify]: Extracting #3: cost 7 inf + 1 65.057 * * [simplify]: Extracting #4: cost 1 inf + 368 65.058 * * [simplify]: Extracting #5: cost 0 inf + 490 65.058 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 65.058 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.058 * * * * [progress]: [ 65 / 188 ] simplifiying candidate # 65.058 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 65.058 * * [simplify]: iters left: 3 (3 enodes) 65.062 * * [simplify]: iters left: 2 (9 enodes) 65.064 * * [simplify]: iters left: 1 (11 enodes) 65.067 * * [simplify]: Extracting #0: cost 1 inf + 0 65.067 * * [simplify]: Extracting #1: cost 0 inf + 1 65.067 * [simplify]: Simplified to 1 65.067 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.067 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 65.067 * * [simplify]: iters left: 3 (5 enodes) 65.071 * * [simplify]: iters left: 2 (17 enodes) 65.076 * * [simplify]: iters left: 1 (19 enodes) 65.082 * * [simplify]: Extracting #0: cost 1 inf + 0 65.082 * * [simplify]: Extracting #1: cost 4 inf + 0 65.082 * * [simplify]: Extracting #2: cost 5 inf + 1 65.082 * * [simplify]: Extracting #3: cost 0 inf + 248 65.082 * [simplify]: Simplified to (/ 1 (sqrt k)) 65.082 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.082 * * * * [progress]: [ 66 / 188 ] simplifiying candidate # 65.083 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 65.083 * * [simplify]: iters left: 4 (6 enodes) 65.086 * * [simplify]: iters left: 3 (20 enodes) 65.092 * * [simplify]: iters left: 2 (22 enodes) 65.096 * * [simplify]: Extracting #0: cost 1 inf + 0 65.096 * * [simplify]: Extracting #1: cost 4 inf + 0 65.096 * * [simplify]: Extracting #2: cost 5 inf + 1 65.096 * * [simplify]: Extracting #3: cost 7 inf + 1 65.097 * * [simplify]: Extracting #4: cost 1 inf + 368 65.097 * * [simplify]: Extracting #5: cost 0 inf + 490 65.097 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 65.097 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.097 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 65.097 * * [simplify]: iters left: 4 (6 enodes) 65.099 * * [simplify]: iters left: 3 (20 enodes) 65.102 * * [simplify]: iters left: 2 (22 enodes) 65.105 * * [simplify]: Extracting #0: cost 1 inf + 0 65.105 * * [simplify]: Extracting #1: cost 4 inf + 0 65.105 * * [simplify]: Extracting #2: cost 5 inf + 1 65.106 * * [simplify]: Extracting #3: cost 7 inf + 1 65.106 * * [simplify]: Extracting #4: cost 1 inf + 368 65.106 * * [simplify]: Extracting #5: cost 0 inf + 490 65.106 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 65.106 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.106 * * * * [progress]: [ 67 / 188 ] simplifiying candidate # 65.106 * [simplify]: Simplifying (/ (sqrt 1) 1) 65.106 * * [simplify]: iters left: 3 (3 enodes) 65.108 * * [simplify]: iters left: 2 (9 enodes) 65.110 * * [simplify]: iters left: 1 (11 enodes) 65.111 * * [simplify]: Extracting #0: cost 1 inf + 0 65.111 * * [simplify]: Extracting #1: cost 0 inf + 1 65.111 * [simplify]: Simplified to 1 65.111 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.111 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 65.111 * * [simplify]: iters left: 3 (5 enodes) 65.114 * * [simplify]: iters left: 2 (17 enodes) 65.116 * * [simplify]: iters left: 1 (19 enodes) 65.119 * * [simplify]: Extracting #0: cost 1 inf + 0 65.119 * * [simplify]: Extracting #1: cost 4 inf + 0 65.119 * * [simplify]: Extracting #2: cost 5 inf + 1 65.119 * * [simplify]: Extracting #3: cost 0 inf + 248 65.119 * [simplify]: Simplified to (/ 1 (sqrt k)) 65.119 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.119 * * * * [progress]: [ 68 / 188 ] simplifiying candidate # 65.119 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 65.119 * * [simplify]: iters left: 6 (6 enodes) 65.121 * * [simplify]: iters left: 5 (22 enodes) 65.124 * * [simplify]: iters left: 4 (26 enodes) 65.129 * * [simplify]: Extracting #0: cost 1 inf + 0 65.130 * * [simplify]: Extracting #1: cost 6 inf + 0 65.130 * * [simplify]: Extracting #2: cost 9 inf + 1 65.130 * * [simplify]: Extracting #3: cost 11 inf + 1 65.130 * * [simplify]: Extracting #4: cost 8 inf + 84 65.130 * * [simplify]: Extracting #5: cost 2 inf + 1013 65.130 * * [simplify]: Extracting #6: cost 0 inf + 1376 65.131 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 65.131 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.131 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 65.131 * * [simplify]: iters left: 4 (5 enodes) 65.133 * * [simplify]: iters left: 3 (17 enodes) 65.139 * * [simplify]: iters left: 2 (19 enodes) 65.145 * * [simplify]: Extracting #0: cost 1 inf + 0 65.145 * * [simplify]: Extracting #1: cost 4 inf + 0 65.145 * * [simplify]: Extracting #2: cost 5 inf + 1 65.145 * * [simplify]: Extracting #3: cost 7 inf + 1 65.146 * * [simplify]: Extracting #4: cost 0 inf + 650 65.146 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 65.146 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.146 * * * * [progress]: [ 69 / 188 ] simplifiying candidate # 65.146 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 65.146 * * [simplify]: iters left: 6 (6 enodes) 65.149 * * [simplify]: iters left: 5 (21 enodes) 65.156 * * [simplify]: iters left: 4 (23 enodes) 65.163 * * [simplify]: Extracting #0: cost 1 inf + 0 65.163 * * [simplify]: Extracting #1: cost 4 inf + 0 65.163 * * [simplify]: Extracting #2: cost 6 inf + 1 65.163 * * [simplify]: Extracting #3: cost 9 inf + 1 65.163 * * [simplify]: Extracting #4: cost 8 inf + 2 65.163 * * [simplify]: Extracting #5: cost 1 inf + 810 65.163 * * [simplify]: Extracting #6: cost 0 inf + 972 65.164 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 65.164 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.164 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 65.164 * * [simplify]: iters left: 4 (5 enodes) 65.167 * * [simplify]: iters left: 3 (17 enodes) 65.172 * * [simplify]: iters left: 2 (19 enodes) 65.178 * * [simplify]: Extracting #0: cost 1 inf + 0 65.178 * * [simplify]: Extracting #1: cost 4 inf + 0 65.178 * * [simplify]: Extracting #2: cost 5 inf + 1 65.178 * * [simplify]: Extracting #3: cost 7 inf + 1 65.178 * * [simplify]: Extracting #4: cost 0 inf + 730 65.178 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 65.179 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.179 * * * * [progress]: [ 70 / 188 ] simplifiying candidate # 65.179 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 65.179 * * [simplify]: iters left: 4 (5 enodes) 65.182 * * [simplify]: iters left: 3 (17 enodes) 65.189 * * [simplify]: iters left: 2 (19 enodes) 65.195 * * [simplify]: Extracting #0: cost 1 inf + 0 65.195 * * [simplify]: Extracting #1: cost 4 inf + 0 65.195 * * [simplify]: Extracting #2: cost 5 inf + 1 65.195 * * [simplify]: Extracting #3: cost 7 inf + 1 65.195 * * [simplify]: Extracting #4: cost 0 inf + 490 65.195 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 65.195 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.196 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 65.196 * * [simplify]: iters left: 4 (5 enodes) 65.198 * * [simplify]: iters left: 3 (17 enodes) 65.204 * * [simplify]: iters left: 2 (19 enodes) 65.210 * * [simplify]: Extracting #0: cost 1 inf + 0 65.210 * * [simplify]: Extracting #1: cost 4 inf + 0 65.210 * * [simplify]: Extracting #2: cost 5 inf + 1 65.210 * * [simplify]: Extracting #3: cost 7 inf + 1 65.210 * * [simplify]: Extracting #4: cost 0 inf + 490 65.210 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 65.210 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.210 * * * * [progress]: [ 71 / 188 ] simplifiying candidate # 65.211 * [simplify]: Simplifying (/ 1 (sqrt 1)) 65.211 * * [simplify]: iters left: 3 (3 enodes) 65.217 * * [simplify]: iters left: 2 (11 enodes) 65.220 * * [simplify]: iters left: 1 (13 enodes) 65.223 * * [simplify]: Extracting #0: cost 1 inf + 0 65.223 * * [simplify]: Extracting #1: cost 0 inf + 1 65.223 * [simplify]: Simplified to 1 65.223 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.223 * [simplify]: Simplifying (/ 1 (sqrt k)) 65.223 * * [simplify]: iters left: 3 (4 enodes) 65.226 * * [simplify]: iters left: 2 (14 enodes) 65.230 * * [simplify]: iters left: 1 (16 enodes) 65.235 * * [simplify]: Extracting #0: cost 1 inf + 0 65.235 * * [simplify]: Extracting #1: cost 4 inf + 0 65.235 * * [simplify]: Extracting #2: cost 5 inf + 1 65.235 * * [simplify]: Extracting #3: cost 3 inf + 43 65.235 * * [simplify]: Extracting #4: cost 1 inf + 166 65.236 * * [simplify]: Extracting #5: cost 0 inf + 248 65.236 * [simplify]: Simplified to (/ 1 (sqrt k)) 65.236 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.236 * * * * [progress]: [ 72 / 188 ] simplifiying candidate # 65.237 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 65.237 * * [simplify]: iters left: 4 (5 enodes) 65.239 * * [simplify]: iters left: 3 (17 enodes) 65.245 * * [simplify]: iters left: 2 (19 enodes) 65.251 * * [simplify]: Extracting #0: cost 1 inf + 0 65.251 * * [simplify]: Extracting #1: cost 4 inf + 0 65.251 * * [simplify]: Extracting #2: cost 5 inf + 1 65.251 * * [simplify]: Extracting #3: cost 7 inf + 1 65.251 * * [simplify]: Extracting #4: cost 0 inf + 490 65.251 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 65.251 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.252 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 65.252 * * [simplify]: iters left: 4 (5 enodes) 65.254 * * [simplify]: iters left: 3 (17 enodes) 65.260 * * [simplify]: iters left: 2 (19 enodes) 65.265 * * [simplify]: Extracting #0: cost 1 inf + 0 65.266 * * [simplify]: Extracting #1: cost 4 inf + 0 65.266 * * [simplify]: Extracting #2: cost 5 inf + 1 65.266 * * [simplify]: Extracting #3: cost 7 inf + 1 65.266 * * [simplify]: Extracting #4: cost 0 inf + 490 65.266 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 65.266 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.266 * * * * [progress]: [ 73 / 188 ] simplifiying candidate # 65.267 * [simplify]: Simplifying (/ 1 1) 65.267 * * [simplify]: iters left: 2 (2 enodes) 65.268 * * [simplify]: iters left: 1 (6 enodes) 65.270 * * [simplify]: Extracting #0: cost 1 inf + 0 65.270 * * [simplify]: Extracting #1: cost 0 inf + 1 65.270 * [simplify]: Simplified to 1 65.270 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.271 * [simplify]: Simplifying (/ 1 (sqrt k)) 65.271 * * [simplify]: iters left: 3 (4 enodes) 65.273 * * [simplify]: iters left: 2 (14 enodes) 65.277 * * [simplify]: iters left: 1 (16 enodes) 65.282 * * [simplify]: Extracting #0: cost 1 inf + 0 65.282 * * [simplify]: Extracting #1: cost 4 inf + 0 65.282 * * [simplify]: Extracting #2: cost 5 inf + 1 65.282 * * [simplify]: Extracting #3: cost 3 inf + 43 65.282 * * [simplify]: Extracting #4: cost 1 inf + 166 65.282 * * [simplify]: Extracting #5: cost 0 inf + 248 65.283 * [simplify]: Simplified to (/ 1 (sqrt k)) 65.283 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.283 * * * * [progress]: [ 74 / 188 ] simplifiying candidate # 65.283 * * * * [progress]: [ 75 / 188 ] simplifiying candidate # 65.283 * [simplify]: Simplifying (/ 1 (sqrt k)) 65.283 * * [simplify]: iters left: 3 (4 enodes) 65.285 * * [simplify]: iters left: 2 (14 enodes) 65.290 * * [simplify]: iters left: 1 (16 enodes) 65.294 * * [simplify]: Extracting #0: cost 1 inf + 0 65.294 * * [simplify]: Extracting #1: cost 4 inf + 0 65.295 * * [simplify]: Extracting #2: cost 5 inf + 1 65.295 * * [simplify]: Extracting #3: cost 3 inf + 43 65.295 * * [simplify]: Extracting #4: cost 1 inf + 166 65.295 * * [simplify]: Extracting #5: cost 0 inf + 248 65.295 * [simplify]: Simplified to (/ 1 (sqrt k)) 65.295 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.295 * * * * [progress]: [ 76 / 188 ] simplifiying candidate # 65.296 * [simplify]: Simplifying (/ (sqrt k) 1) 65.296 * * [simplify]: iters left: 3 (4 enodes) 65.298 * * [simplify]: iters left: 2 (12 enodes) 65.302 * * [simplify]: iters left: 1 (14 enodes) 65.306 * * [simplify]: Extracting #0: cost 1 inf + 0 65.306 * * [simplify]: Extracting #1: cost 4 inf + 0 65.306 * * [simplify]: Extracting #2: cost 0 inf + 84 65.306 * [simplify]: Simplified to (sqrt k) 65.306 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.306 * * * * [progress]: [ 77 / 188 ] simplifiying candidate # 65.307 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 65.307 * * [simplify]: iters left: 6 (6 enodes) 65.310 * * [simplify]: iters left: 5 (22 enodes) 65.317 * * [simplify]: iters left: 4 (26 enodes) 65.324 * * [simplify]: Extracting #0: cost 1 inf + 0 65.324 * * [simplify]: Extracting #1: cost 6 inf + 0 65.324 * * [simplify]: Extracting #2: cost 9 inf + 1 65.324 * * [simplify]: Extracting #3: cost 11 inf + 1 65.324 * * [simplify]: Extracting #4: cost 8 inf + 84 65.324 * * [simplify]: Extracting #5: cost 2 inf + 1013 65.325 * * [simplify]: Extracting #6: cost 0 inf + 1376 65.325 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 65.325 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.325 * * * * [progress]: [ 78 / 188 ] simplifiying candidate # 65.325 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 65.325 * * [simplify]: iters left: 6 (6 enodes) 65.327 * * [simplify]: iters left: 5 (21 enodes) 65.331 * * [simplify]: iters left: 4 (23 enodes) 65.334 * * [simplify]: Extracting #0: cost 1 inf + 0 65.334 * * [simplify]: Extracting #1: cost 4 inf + 0 65.334 * * [simplify]: Extracting #2: cost 6 inf + 1 65.334 * * [simplify]: Extracting #3: cost 9 inf + 1 65.334 * * [simplify]: Extracting #4: cost 8 inf + 2 65.334 * * [simplify]: Extracting #5: cost 1 inf + 810 65.334 * * [simplify]: Extracting #6: cost 0 inf + 972 65.335 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 65.335 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.335 * * * * [progress]: [ 79 / 188 ] simplifiying candidate # 65.335 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 65.335 * * [simplify]: iters left: 4 (5 enodes) 65.336 * * [simplify]: iters left: 3 (17 enodes) 65.340 * * [simplify]: iters left: 2 (19 enodes) 65.343 * * [simplify]: Extracting #0: cost 1 inf + 0 65.343 * * [simplify]: Extracting #1: cost 4 inf + 0 65.343 * * [simplify]: Extracting #2: cost 5 inf + 1 65.343 * * [simplify]: Extracting #3: cost 7 inf + 1 65.343 * * [simplify]: Extracting #4: cost 0 inf + 490 65.344 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 65.344 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.344 * * * * [progress]: [ 80 / 188 ] simplifiying candidate # 65.344 * [simplify]: Simplifying (/ 1 (sqrt 1)) 65.344 * * [simplify]: iters left: 3 (3 enodes) 65.347 * * [simplify]: iters left: 2 (11 enodes) 65.349 * * [simplify]: iters left: 1 (13 enodes) 65.351 * * [simplify]: Extracting #0: cost 1 inf + 0 65.351 * * [simplify]: Extracting #1: cost 0 inf + 1 65.351 * [simplify]: Simplified to 1 65.351 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.351 * * * * [progress]: [ 81 / 188 ] simplifiying candidate # 65.351 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 65.351 * * [simplify]: iters left: 4 (5 enodes) 65.354 * * [simplify]: iters left: 3 (17 enodes) 65.359 * * [simplify]: iters left: 2 (19 enodes) 65.364 * * [simplify]: Extracting #0: cost 1 inf + 0 65.365 * * [simplify]: Extracting #1: cost 4 inf + 0 65.365 * * [simplify]: Extracting #2: cost 5 inf + 1 65.365 * * [simplify]: Extracting #3: cost 7 inf + 1 65.365 * * [simplify]: Extracting #4: cost 0 inf + 490 65.365 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 65.365 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.365 * * * * [progress]: [ 82 / 188 ] simplifiying candidate # 65.365 * [simplify]: Simplifying (/ 1 1) 65.366 * * [simplify]: iters left: 2 (2 enodes) 65.367 * * [simplify]: iters left: 1 (6 enodes) 65.369 * * [simplify]: Extracting #0: cost 1 inf + 0 65.369 * * [simplify]: Extracting #1: cost 0 inf + 1 65.369 * [simplify]: Simplified to 1 65.369 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.369 * * * * [progress]: [ 83 / 188 ] simplifiying candidate # 65.369 * [simplify]: Simplifying (/ (sqrt k) (cbrt 1)) 65.370 * * [simplify]: iters left: 3 (5 enodes) 65.373 * * [simplify]: iters left: 2 (17 enodes) 65.378 * * [simplify]: iters left: 1 (19 enodes) 65.383 * * [simplify]: Extracting #0: cost 1 inf + 0 65.383 * * [simplify]: Extracting #1: cost 4 inf + 0 65.383 * * [simplify]: Extracting #2: cost 2 inf + 2 65.383 * * [simplify]: Extracting #3: cost 0 inf + 84 65.384 * [simplify]: Simplified to (sqrt k) 65.384 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.384 * * * * [progress]: [ 84 / 188 ] simplifiying candidate # 65.384 * [simplify]: Simplifying (/ (sqrt k) (sqrt 1)) 65.384 * * [simplify]: iters left: 3 (5 enodes) 65.387 * * [simplify]: iters left: 2 (17 enodes) 65.390 * * [simplify]: iters left: 1 (19 enodes) 65.393 * * [simplify]: Extracting #0: cost 1 inf + 0 65.393 * * [simplify]: Extracting #1: cost 4 inf + 0 65.393 * * [simplify]: Extracting #2: cost 2 inf + 2 65.393 * * [simplify]: Extracting #3: cost 0 inf + 84 65.393 * [simplify]: Simplified to (sqrt k) 65.393 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.393 * * * * [progress]: [ 85 / 188 ] simplifiying candidate # 65.393 * [simplify]: Simplifying (/ (sqrt k) 1) 65.393 * * [simplify]: iters left: 3 (4 enodes) 65.395 * * [simplify]: iters left: 2 (12 enodes) 65.397 * * [simplify]: iters left: 1 (14 enodes) 65.399 * * [simplify]: Extracting #0: cost 1 inf + 0 65.399 * * [simplify]: Extracting #1: cost 4 inf + 0 65.399 * * [simplify]: Extracting #2: cost 0 inf + 84 65.399 * [simplify]: Simplified to (sqrt k) 65.399 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.399 * * * * [progress]: [ 86 / 188 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> 65.399 * [simplify]: Simplifying (real->posit16 (/ 1 (sqrt k))) 65.399 * * [simplify]: iters left: 4 (5 enodes) 65.401 * * [simplify]: iters left: 3 (14 enodes) 65.403 * * [simplify]: iters left: 2 (16 enodes) 65.405 * * [simplify]: Extracting #0: cost 1 inf + 0 65.405 * * [simplify]: Extracting #1: cost 2 inf + 0 65.405 * * [simplify]: Extracting #2: cost 4 inf + 0 65.405 * * [simplify]: Extracting #3: cost 5 inf + 1 65.405 * * [simplify]: Extracting #4: cost 0 inf + 248 65.406 * [simplify]: Simplified to (real->posit16 (/ 1 (sqrt k))) 65.406 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (posit16->real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.406 * * * * [progress]: [ 87 / 188 ] simplifiying candidate # 65.406 * [simplify]: Simplifying (* (* 2 PI) n) 65.406 * * [simplify]: iters left: 4 (5 enodes) 65.407 * * [simplify]: iters left: 3 (19 enodes) 65.410 * * [simplify]: iters left: 2 (27 enodes) 65.415 * * [simplify]: iters left: 1 (32 enodes) 65.423 * * [simplify]: Extracting #0: cost 1 inf + 0 65.423 * * [simplify]: Extracting #1: cost 8 inf + 0 65.423 * * [simplify]: Extracting #2: cost 7 inf + 45 65.423 * * [simplify]: Extracting #3: cost 0 inf + 421 65.424 * [simplify]: Simplified to (* (* 2 PI) n) 65.424 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 65.424 * * * * [progress]: [ 88 / 188 ] simplifiying candidate # 65.424 * [simplify]: Simplifying (* (* 2 PI) n) 65.424 * * [simplify]: iters left: 4 (5 enodes) 65.427 * * [simplify]: iters left: 3 (19 enodes) 65.433 * * [simplify]: iters left: 2 (27 enodes) 65.441 * * [simplify]: iters left: 1 (32 enodes) 65.448 * * [simplify]: Extracting #0: cost 1 inf + 0 65.449 * * [simplify]: Extracting #1: cost 8 inf + 0 65.449 * * [simplify]: Extracting #2: cost 7 inf + 45 65.449 * * [simplify]: Extracting #3: cost 0 inf + 421 65.449 * [simplify]: Simplified to (* (* 2 PI) n) 65.449 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 65.449 * * * * [progress]: [ 89 / 188 ] simplifiying candidate # 65.449 * * * * [progress]: [ 90 / 188 ] simplifiying candidate # 65.450 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 65.450 * * [simplify]: iters left: 5 (8 enodes) 65.454 * * [simplify]: iters left: 4 (28 enodes) 65.465 * * [simplify]: iters left: 3 (36 enodes) 65.476 * * [simplify]: iters left: 2 (42 enodes) 65.483 * * [simplify]: Extracting #0: cost 1 inf + 0 65.483 * * [simplify]: Extracting #1: cost 8 inf + 0 65.483 * * [simplify]: Extracting #2: cost 17 inf + 0 65.483 * * [simplify]: Extracting #3: cost 13 inf + 74 65.483 * * [simplify]: Extracting #4: cost 6 inf + 1015 65.483 * * [simplify]: Extracting #5: cost 0 inf + 2107 65.484 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 65.484 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))) 65.484 * * * * [progress]: [ 91 / 188 ] simplifiying candidate # 65.484 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 65.484 * * [simplify]: iters left: 5 (7 enodes) 65.486 * * [simplify]: iters left: 4 (26 enodes) 65.490 * * [simplify]: iters left: 3 (35 enodes) 65.495 * * [simplify]: iters left: 2 (44 enodes) 65.503 * * [simplify]: Extracting #0: cost 1 inf + 0 65.503 * * [simplify]: Extracting #1: cost 8 inf + 0 65.503 * * [simplify]: Extracting #2: cost 18 inf + 0 65.503 * * [simplify]: Extracting #3: cost 15 inf + 74 65.503 * * [simplify]: Extracting #4: cost 6 inf + 918 65.504 * * [simplify]: Extracting #5: cost 0 inf + 1911 65.504 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 65.504 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) 65.504 * * * * [progress]: [ 92 / 188 ] simplifiying candidate # 65.505 * [simplify]: Simplifying (log (* (* 2 PI) n)) 65.505 * * [simplify]: iters left: 5 (6 enodes) 65.508 * * [simplify]: iters left: 4 (25 enodes) 65.516 * * [simplify]: iters left: 3 (44 enodes) 65.528 * * [simplify]: iters left: 2 (62 enodes) 65.545 * * [simplify]: iters left: 1 (70 enodes) 65.561 * * [simplify]: Extracting #0: cost 1 inf + 0 65.562 * * [simplify]: Extracting #1: cost 9 inf + 0 65.562 * * [simplify]: Extracting #2: cost 22 inf + 0 65.562 * * [simplify]: Extracting #3: cost 20 inf + 116 65.562 * * [simplify]: Extracting #4: cost 5 inf + 1253 65.563 * * [simplify]: Extracting #5: cost 0 inf + 1825 65.563 * [simplify]: Simplified to (log (* (* 2 PI) n)) 65.563 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2)))) 65.563 * * * * [progress]: [ 93 / 188 ] simplifiying candidate # 65.564 * [simplify]: Simplifying (exp (* (* 2 PI) n)) 65.564 * * [simplify]: iters left: 5 (6 enodes) 65.565 * * [simplify]: iters left: 4 (24 enodes) 65.570 * * [simplify]: iters left: 3 (45 enodes) 65.577 * * [simplify]: iters left: 2 (82 enodes) 65.594 * * [simplify]: iters left: 1 (152 enodes) 65.635 * * [simplify]: Extracting #0: cost 1 inf + 0 65.635 * * [simplify]: Extracting #1: cost 31 inf + 0 65.635 * * [simplify]: Extracting #2: cost 82 inf + 145 65.636 * * [simplify]: Extracting #3: cost 66 inf + 3621 65.637 * * [simplify]: Extracting #4: cost 30 inf + 10626 65.639 * * [simplify]: Extracting #5: cost 7 inf + 18207 65.641 * * [simplify]: Extracting #6: cost 0 inf + 22333 65.644 * [simplify]: Simplified to (exp (* PI (+ n n))) 65.644 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (log (exp (* PI (+ n n)))) (/ (- 1 k) 2)))) 65.644 * * * * [progress]: [ 94 / 188 ] simplifiying candidate # 65.644 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 65.644 * * [simplify]: iters left: 6 (11 enodes) 65.648 * * [simplify]: iters left: 5 (47 enodes) 65.665 * * [simplify]: iters left: 4 (115 enodes) 65.699 * * [simplify]: iters left: 3 (400 enodes) 66.040 * * [simplify]: Extracting #0: cost 1 inf + 0 66.041 * * [simplify]: Extracting #1: cost 101 inf + 0 66.043 * * [simplify]: Extracting #2: cost 267 inf + 496 66.058 * * [simplify]: Extracting #3: cost 120 inf + 18282 66.077 * * [simplify]: Extracting #4: cost 0 inf + 41338 66.097 * * [simplify]: Extracting #5: cost 0 inf + 41058 66.117 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 66.117 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)))) 66.117 * * * * [progress]: [ 95 / 188 ] simplifiying candidate # 66.117 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 66.118 * * [simplify]: iters left: 6 (9 enodes) 66.123 * * [simplify]: iters left: 5 (45 enodes) 66.141 * * [simplify]: iters left: 4 (116 enodes) 66.196 * * [simplify]: iters left: 3 (394 enodes) 66.563 * * [simplify]: Extracting #0: cost 1 inf + 0 66.563 * * [simplify]: Extracting #1: cost 81 inf + 0 66.564 * * [simplify]: Extracting #2: cost 197 inf + 498 66.568 * * [simplify]: Extracting #3: cost 104 inf + 13079 66.584 * * [simplify]: Extracting #4: cost 9 inf + 31486 66.603 * * [simplify]: Extracting #5: cost 0 inf + 33399 66.613 * [simplify]: Simplified to (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI)) 66.613 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (/ (- 1 k) 2)))) 66.614 * * * * [progress]: [ 96 / 188 ] simplifiying candidate # 66.614 * [simplify]: Simplifying (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) 66.614 * * [simplify]: iters left: 6 (7 enodes) 66.616 * * [simplify]: iters left: 5 (25 enodes) 66.620 * * [simplify]: iters left: 4 (33 enodes) 66.625 * * [simplify]: iters left: 3 (38 enodes) 66.630 * * [simplify]: Extracting #0: cost 1 inf + 0 66.630 * * [simplify]: Extracting #1: cost 3 inf + 0 66.630 * * [simplify]: Extracting #2: cost 5 inf + 0 66.630 * * [simplify]: Extracting #3: cost 12 inf + 0 66.630 * * [simplify]: Extracting #4: cost 12 inf + 3 66.630 * * [simplify]: Extracting #5: cost 5 inf + 500 66.631 * * [simplify]: Extracting #6: cost 1 inf + 950 66.631 * * [simplify]: Extracting #7: cost 0 inf + 1153 66.632 * [simplify]: Simplified to (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) 66.632 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2)))) 66.632 * [simplify]: Simplifying (cbrt (* (* 2 PI) n)) 66.632 * * [simplify]: iters left: 5 (6 enodes) 66.635 * * [simplify]: iters left: 4 (22 enodes) 66.642 * * [simplify]: iters left: 3 (30 enodes) 66.649 * * [simplify]: iters left: 2 (35 enodes) 66.653 * * [simplify]: Extracting #0: cost 1 inf + 0 66.653 * * [simplify]: Extracting #1: cost 3 inf + 0 66.653 * * [simplify]: Extracting #2: cost 10 inf + 0 66.653 * * [simplify]: Extracting #3: cost 8 inf + 87 66.653 * * [simplify]: Extracting #4: cost 1 inf + 584 66.654 * * [simplify]: Extracting #5: cost 0 inf + 747 66.654 * [simplify]: Simplified to (cbrt (* (* n 2) PI)) 66.654 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* n 2) PI))) (/ (- 1 k) 2)))) 66.654 * * * * [progress]: [ 97 / 188 ] simplifiying candidate # 66.654 * [simplify]: Simplifying (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n)) 66.654 * * [simplify]: iters left: 6 (7 enodes) 66.658 * * [simplify]: iters left: 5 (35 enodes) 66.666 * * [simplify]: iters left: 4 (119 enodes) 66.729 * * [simplify]: iters left: 3 (440 enodes) 67.146 * * [simplify]: Extracting #0: cost 1 inf + 0 67.146 * * [simplify]: Extracting #1: cost 71 inf + 0 67.148 * * [simplify]: Extracting #2: cost 204 inf + 512 67.155 * * [simplify]: Extracting #3: cost 98 inf + 15734 67.173 * * [simplify]: Extracting #4: cost 1 inf + 29429 67.192 * * [simplify]: Extracting #5: cost 0 inf + 29031 67.207 * * [simplify]: Extracting #6: cost 0 inf + 28911 67.216 * [simplify]: Simplified to (* (* (* n 2) PI) (* (* (* n 2) PI) (* (* n 2) PI))) 67.217 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* n 2) PI) (* (* (* n 2) PI) (* (* n 2) PI)))) (/ (- 1 k) 2)))) 67.217 * * * * [progress]: [ 98 / 188 ] simplifiying candidate # 67.217 * [simplify]: Simplifying (sqrt (* (* 2 PI) n)) 67.217 * * [simplify]: iters left: 5 (6 enodes) 67.219 * * [simplify]: iters left: 4 (22 enodes) 67.223 * * [simplify]: iters left: 3 (30 enodes) 67.227 * * [simplify]: iters left: 2 (35 enodes) 67.232 * * [simplify]: Extracting #0: cost 1 inf + 0 67.232 * * [simplify]: Extracting #1: cost 3 inf + 0 67.232 * * [simplify]: Extracting #2: cost 10 inf + 0 67.232 * * [simplify]: Extracting #3: cost 8 inf + 87 67.232 * * [simplify]: Extracting #4: cost 1 inf + 544 67.232 * * [simplify]: Extracting #5: cost 0 inf + 667 67.232 * [simplify]: Simplified to (sqrt (* (* n 2) PI)) 67.232 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2)))) 67.233 * [simplify]: Simplifying (sqrt (* (* 2 PI) n)) 67.233 * * [simplify]: iters left: 5 (6 enodes) 67.234 * * [simplify]: iters left: 4 (22 enodes) 67.241 * * [simplify]: iters left: 3 (30 enodes) 67.252 * * [simplify]: iters left: 2 (35 enodes) 67.261 * * [simplify]: Extracting #0: cost 1 inf + 0 67.261 * * [simplify]: Extracting #1: cost 3 inf + 0 67.261 * * [simplify]: Extracting #2: cost 10 inf + 0 67.261 * * [simplify]: Extracting #3: cost 8 inf + 87 67.261 * * [simplify]: Extracting #4: cost 1 inf + 544 67.262 * * [simplify]: Extracting #5: cost 0 inf + 667 67.262 * [simplify]: Simplified to (sqrt (* (* n 2) PI)) 67.262 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* n 2) PI))) (/ (- 1 k) 2)))) 67.262 * * * * [progress]: [ 99 / 188 ] simplifiying candidate # 67.262 * * * * [progress]: [ 100 / 188 ] simplifiying candidate # 67.263 * [simplify]: Simplifying (* (* 2 PI) (* (cbrt n) (cbrt n))) 67.263 * * [simplify]: iters left: 5 (7 enodes) 67.266 * * [simplify]: iters left: 4 (27 enodes) 67.275 * * [simplify]: iters left: 3 (44 enodes) 67.284 * * [simplify]: iters left: 2 (63 enodes) 67.293 * * [simplify]: iters left: 1 (81 enodes) 67.305 * * [simplify]: Extracting #0: cost 1 inf + 0 67.305 * * [simplify]: Extracting #1: cost 12 inf + 0 67.305 * * [simplify]: Extracting #2: cost 19 inf + 2 67.305 * * [simplify]: Extracting #3: cost 16 inf + 87 67.305 * * [simplify]: Extracting #4: cost 9 inf + 980 67.306 * * [simplify]: Extracting #5: cost 1 inf + 2156 67.306 * * [simplify]: Extracting #6: cost 0 inf + 2359 67.307 * [simplify]: Simplified to (* (* 2 PI) (* (cbrt n) (cbrt n))) 67.307 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))) 67.307 * * * * [progress]: [ 101 / 188 ] simplifiying candidate # 67.307 * [simplify]: Simplifying (* (* 2 PI) (sqrt n)) 67.307 * * [simplify]: iters left: 4 (6 enodes) 67.310 * * [simplify]: iters left: 3 (22 enodes) 67.317 * * [simplify]: iters left: 2 (30 enodes) 67.326 * * [simplify]: iters left: 1 (35 enodes) 67.335 * * [simplify]: Extracting #0: cost 1 inf + 0 67.335 * * [simplify]: Extracting #1: cost 8 inf + 0 67.335 * * [simplify]: Extracting #2: cost 11 inf + 2 67.336 * * [simplify]: Extracting #3: cost 8 inf + 87 67.336 * * [simplify]: Extracting #4: cost 2 inf + 538 67.336 * * [simplify]: Extracting #5: cost 0 inf + 743 67.337 * [simplify]: Simplified to (* (sqrt n) (* 2 PI)) 67.337 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (sqrt n) (* 2 PI)) (sqrt n)) (/ (- 1 k) 2)))) 67.337 * * * * [progress]: [ 102 / 188 ] simplifiying candidate # 67.337 * [simplify]: Simplifying (* (* 2 PI) 1) 67.337 * * [simplify]: iters left: 4 (5 enodes) 67.340 * * [simplify]: iters left: 3 (19 enodes) 67.348 * * [simplify]: iters left: 2 (29 enodes) 67.355 * * [simplify]: Extracting #0: cost 1 inf + 0 67.355 * * [simplify]: Extracting #1: cost 5 inf + 0 67.356 * * [simplify]: Extracting #2: cost 2 inf + 3 67.356 * * [simplify]: Extracting #3: cost 0 inf + 87 67.356 * [simplify]: Simplified to (* 2 PI) 67.356 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.356 * * * * [progress]: [ 103 / 188 ] simplifiying candidate # 67.356 * [simplify]: Simplifying (* PI n) 67.356 * * [simplify]: iters left: 2 (3 enodes) 67.358 * * [simplify]: iters left: 1 (10 enodes) 67.360 * * [simplify]: Extracting #0: cost 1 inf + 0 67.360 * * [simplify]: Extracting #1: cost 4 inf + 0 67.360 * * [simplify]: Extracting #2: cost 2 inf + 2 67.360 * * [simplify]: Extracting #3: cost 0 inf + 86 67.361 * [simplify]: Simplified to (* PI n) 67.361 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* PI n)) (/ (- 1 k) 2)))) 67.361 * * * * [progress]: [ 104 / 188 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))> 67.361 * [simplify]: Simplifying (real->posit16 (* (* 2 PI) n)) 67.361 * * [simplify]: iters left: 5 (6 enodes) 67.363 * * [simplify]: iters left: 4 (19 enodes) 67.368 * * [simplify]: iters left: 3 (27 enodes) 67.372 * * [simplify]: iters left: 2 (32 enodes) 67.376 * * [simplify]: Extracting #0: cost 1 inf + 0 67.376 * * [simplify]: Extracting #1: cost 2 inf + 0 67.376 * * [simplify]: Extracting #2: cost 8 inf + 0 67.376 * * [simplify]: Extracting #3: cost 7 inf + 45 67.376 * * [simplify]: Extracting #4: cost 0 inf + 421 67.376 * [simplify]: Simplified to (real->posit16 (* (* 2 PI) n)) 67.376 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (posit16->real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2)))) 67.376 * * * * [progress]: [ 105 / 188 ] simplifiying candidate # 67.376 * * * * [progress]: [ 106 / 188 ] simplifiying candidate # 67.376 * * * * [progress]: [ 107 / 188 ] simplifiying candidate # 67.377 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 67.377 * * [simplify]: iters left: 6 (17 enodes) 67.381 * * [simplify]: iters left: 5 (67 enodes) 67.401 * * [simplify]: iters left: 4 (111 enodes) 67.447 * * [simplify]: iters left: 3 (299 enodes) 67.546 * * [simplify]: Extracting #0: cost 1 inf + 0 67.546 * * [simplify]: Extracting #1: cost 33 inf + 0 67.546 * * [simplify]: Extracting #2: cost 113 inf + 0 67.547 * * [simplify]: Extracting #3: cost 177 inf + 73 67.549 * * [simplify]: Extracting #4: cost 192 inf + 1010 67.553 * * [simplify]: Extracting #5: cost 137 inf + 11389 67.564 * * [simplify]: Extracting #6: cost 37 inf + 40587 67.573 * * [simplify]: Extracting #7: cost 3 inf + 53426 67.591 * * [simplify]: Extracting #8: cost 0 inf + 54867 67.610 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))) 67.610 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))))) 67.610 * * * * [progress]: [ 108 / 188 ] simplifiying candidate # 67.611 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 67.611 * * [simplify]: iters left: 6 (16 enodes) 67.619 * * [simplify]: iters left: 5 (65 enodes) 67.640 * * [simplify]: iters left: 4 (104 enodes) 67.678 * * [simplify]: iters left: 3 (241 enodes) 67.773 * * [simplify]: Extracting #0: cost 1 inf + 0 67.773 * * [simplify]: Extracting #1: cost 27 inf + 0 67.774 * * [simplify]: Extracting #2: cost 102 inf + 0 67.775 * * [simplify]: Extracting #3: cost 157 inf + 2 67.776 * * [simplify]: Extracting #4: cost 172 inf + 800 67.779 * * [simplify]: Extracting #5: cost 117 inf + 8844 67.789 * * [simplify]: Extracting #6: cost 42 inf + 27384 67.803 * * [simplify]: Extracting #7: cost 0 inf + 43012 67.810 * * [simplify]: Extracting #8: cost 0 inf + 43010 67.818 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))) 67.818 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))))) 67.818 * * * * [progress]: [ 109 / 188 ] simplifiying candidate # 67.819 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 67.819 * * [simplify]: iters left: 6 (15 enodes) 67.823 * * [simplify]: iters left: 5 (64 enodes) 67.844 * * [simplify]: iters left: 4 (111 enodes) 67.869 * * [simplify]: iters left: 3 (225 enodes) 67.959 * * [simplify]: Extracting #0: cost 1 inf + 0 67.959 * * [simplify]: Extracting #1: cost 19 inf + 0 67.959 * * [simplify]: Extracting #2: cost 89 inf + 0 67.960 * * [simplify]: Extracting #3: cost 146 inf + 2 67.961 * * [simplify]: Extracting #4: cost 164 inf + 1105 67.965 * * [simplify]: Extracting #5: cost 100 inf + 9877 67.975 * * [simplify]: Extracting #6: cost 23 inf + 28694 67.988 * * [simplify]: Extracting #7: cost 0 inf + 34939 68.002 * * [simplify]: Extracting #8: cost 0 inf + 34938 68.020 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 68.020 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 68.020 * * * * [progress]: [ 110 / 188 ] simplifiying candidate # 68.020 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 68.020 * * [simplify]: iters left: 6 (15 enodes) 68.029 * * [simplify]: iters left: 5 (64 enodes) 68.049 * * [simplify]: iters left: 4 (111 enodes) 68.073 * * [simplify]: iters left: 3 (225 enodes) 68.139 * * [simplify]: Extracting #0: cost 1 inf + 0 68.139 * * [simplify]: Extracting #1: cost 19 inf + 0 68.139 * * [simplify]: Extracting #2: cost 89 inf + 0 68.140 * * [simplify]: Extracting #3: cost 146 inf + 2 68.141 * * [simplify]: Extracting #4: cost 164 inf + 1105 68.145 * * [simplify]: Extracting #5: cost 100 inf + 9877 68.155 * * [simplify]: Extracting #6: cost 23 inf + 28694 68.162 * * [simplify]: Extracting #7: cost 0 inf + 34939 68.168 * * [simplify]: Extracting #8: cost 0 inf + 34938 68.175 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 68.175 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 68.175 * * * * [progress]: [ 111 / 188 ] simplifiying candidate # 68.176 * [simplify]: Simplifying (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.176 * * [simplify]: iters left: 6 (15 enodes) 68.180 * * [simplify]: iters left: 5 (63 enodes) 68.192 * * [simplify]: iters left: 4 (107 enodes) 68.227 * * [simplify]: iters left: 3 (217 enodes) 68.283 * * [simplify]: Extracting #0: cost 1 inf + 0 68.283 * * [simplify]: Extracting #1: cost 20 inf + 0 68.283 * * [simplify]: Extracting #2: cost 115 inf + 0 68.283 * * [simplify]: Extracting #3: cost 190 inf + 2 68.284 * * [simplify]: Extracting #4: cost 191 inf + 1574 68.286 * * [simplify]: Extracting #5: cost 111 inf + 16875 68.292 * * [simplify]: Extracting #6: cost 25 inf + 37960 68.310 * * [simplify]: Extracting #7: cost 0 inf + 44745 68.325 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* n (* 2 PI))))) (log (sqrt k))) 68.325 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* n (* 2 PI))))) (log (sqrt k))))) 68.326 * * * * [progress]: [ 112 / 188 ] simplifiying candidate # 68.326 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 68.326 * * [simplify]: iters left: 6 (18 enodes) 68.337 * * [simplify]: iters left: 5 (73 enodes) 68.360 * * [simplify]: iters left: 4 (128 enodes) 68.418 * * [simplify]: iters left: 3 (378 enodes) 68.617 * * [simplify]: Extracting #0: cost 1 inf + 0 68.617 * * [simplify]: Extracting #1: cost 46 inf + 0 68.618 * * [simplify]: Extracting #2: cost 204 inf + 1 68.620 * * [simplify]: Extracting #3: cost 281 inf + 185 68.623 * * [simplify]: Extracting #4: cost 265 inf + 7152 68.633 * * [simplify]: Extracting #5: cost 85 inf + 57834 68.652 * * [simplify]: Extracting #6: cost 1 inf + 90306 68.683 * * [simplify]: Extracting #7: cost 0 inf + 90453 68.700 * * [simplify]: Extracting #8: cost 0 inf + 90451 68.716 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))) 68.716 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))))) 68.716 * * * * [progress]: [ 113 / 188 ] simplifiying candidate # 68.716 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 68.717 * * [simplify]: iters left: 6 (17 enodes) 68.724 * * [simplify]: iters left: 5 (71 enodes) 68.750 * * [simplify]: iters left: 4 (121 enodes) 68.797 * * [simplify]: iters left: 3 (304 enodes) 68.979 * * [simplify]: Extracting #0: cost 1 inf + 0 68.979 * * [simplify]: Extracting #1: cost 37 inf + 0 68.980 * * [simplify]: Extracting #2: cost 177 inf + 1 68.981 * * [simplify]: Extracting #3: cost 250 inf + 3 68.983 * * [simplify]: Extracting #4: cost 254 inf + 1762 68.996 * * [simplify]: Extracting #5: cost 140 inf + 25847 69.008 * * [simplify]: Extracting #6: cost 13 inf + 65990 69.022 * * [simplify]: Extracting #7: cost 0 inf + 70859 69.036 * * [simplify]: Extracting #8: cost 0 inf + 70858 69.063 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 69.063 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 69.063 * * * * [progress]: [ 114 / 188 ] simplifiying candidate # 69.063 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 69.063 * * [simplify]: iters left: 6 (16 enodes) 69.068 * * [simplify]: iters left: 5 (70 enodes) 69.081 * * [simplify]: iters left: 4 (128 enodes) 69.115 * * [simplify]: iters left: 3 (278 enodes) 69.231 * * [simplify]: Extracting #0: cost 1 inf + 0 69.232 * * [simplify]: Extracting #1: cost 27 inf + 0 69.232 * * [simplify]: Extracting #2: cost 144 inf + 1 69.234 * * [simplify]: Extracting #3: cost 221 inf + 3 69.236 * * [simplify]: Extracting #4: cost 214 inf + 3659 69.247 * * [simplify]: Extracting #5: cost 70 inf + 35570 69.267 * * [simplify]: Extracting #6: cost 6 inf + 53271 69.290 * * [simplify]: Extracting #7: cost 0 inf + 54708 69.315 * * [simplify]: Extracting #8: cost 0 inf + 54701 69.336 * * [simplify]: Extracting #9: cost 0 inf + 54699 69.347 * [simplify]: Simplified to (- (/ (- (log (* (* PI n) 2)) (* (log (* (* PI n) 2)) k)) 2) (log (sqrt k))) 69.347 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI n) 2)) (* (log (* (* PI n) 2)) k)) 2) (log (sqrt k))))) 69.347 * * * * [progress]: [ 115 / 188 ] simplifiying candidate # 69.347 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 69.347 * * [simplify]: iters left: 6 (16 enodes) 69.353 * * [simplify]: iters left: 5 (70 enodes) 69.366 * * [simplify]: iters left: 4 (128 enodes) 69.412 * * [simplify]: iters left: 3 (278 enodes) 69.536 * * [simplify]: Extracting #0: cost 1 inf + 0 69.536 * * [simplify]: Extracting #1: cost 27 inf + 0 69.536 * * [simplify]: Extracting #2: cost 144 inf + 1 69.538 * * [simplify]: Extracting #3: cost 221 inf + 3 69.539 * * [simplify]: Extracting #4: cost 214 inf + 3659 69.545 * * [simplify]: Extracting #5: cost 70 inf + 35570 69.555 * * [simplify]: Extracting #6: cost 6 inf + 53271 69.567 * * [simplify]: Extracting #7: cost 0 inf + 54708 69.582 * * [simplify]: Extracting #8: cost 0 inf + 54701 69.593 * * [simplify]: Extracting #9: cost 0 inf + 54699 69.605 * [simplify]: Simplified to (- (/ (- (log (* (* PI n) 2)) (* (log (* (* PI n) 2)) k)) 2) (log (sqrt k))) 69.605 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI n) 2)) (* (log (* (* PI n) 2)) k)) 2) (log (sqrt k))))) 69.605 * * * * [progress]: [ 116 / 188 ] simplifiying candidate # 69.608 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 69.609 * * [simplify]: iters left: 6 (16 enodes) 69.618 * * [simplify]: iters left: 5 (69 enodes) 69.635 * * [simplify]: iters left: 4 (124 enodes) 69.660 * * [simplify]: iters left: 3 (261 enodes) 69.751 * * [simplify]: Extracting #0: cost 1 inf + 0 69.751 * * [simplify]: Extracting #1: cost 27 inf + 0 69.751 * * [simplify]: Extracting #2: cost 169 inf + 1 69.752 * * [simplify]: Extracting #3: cost 260 inf + 74 69.753 * * [simplify]: Extracting #4: cost 250 inf + 3160 69.758 * * [simplify]: Extracting #5: cost 150 inf + 23086 69.774 * * [simplify]: Extracting #6: cost 40 inf + 51198 69.796 * * [simplify]: Extracting #7: cost 0 inf + 63869 69.813 * * [simplify]: Extracting #8: cost 0 inf + 63269 69.826 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k))) 69.826 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k))))) 69.827 * * * * [progress]: [ 117 / 188 ] simplifiying candidate # 69.827 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 69.827 * * [simplify]: iters left: 6 (18 enodes) 69.838 * * [simplify]: iters left: 5 (74 enodes) 69.854 * * [simplify]: iters left: 4 (123 enodes) 69.882 * * [simplify]: iters left: 3 (355 enodes) 70.020 * * [simplify]: Extracting #0: cost 1 inf + 0 70.020 * * [simplify]: Extracting #1: cost 44 inf + 0 70.020 * * [simplify]: Extracting #2: cost 205 inf + 1 70.021 * * [simplify]: Extracting #3: cost 281 inf + 185 70.023 * * [simplify]: Extracting #4: cost 272 inf + 5818 70.030 * * [simplify]: Extracting #5: cost 119 inf + 47367 70.044 * * [simplify]: Extracting #6: cost 5 inf + 87531 70.075 * * [simplify]: Extracting #7: cost 0 inf + 89662 70.091 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))) 70.091 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))))) 70.091 * * * * [progress]: [ 118 / 188 ] simplifiying candidate # 70.091 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 70.091 * * [simplify]: iters left: 6 (17 enodes) 70.097 * * [simplify]: iters left: 5 (72 enodes) 70.117 * * [simplify]: iters left: 4 (116 enodes) 70.149 * * [simplify]: iters left: 3 (289 enodes) 70.278 * * [simplify]: Extracting #0: cost 1 inf + 0 70.278 * * [simplify]: Extracting #1: cost 36 inf + 0 70.279 * * [simplify]: Extracting #2: cost 171 inf + 1 70.280 * * [simplify]: Extracting #3: cost 244 inf + 3 70.281 * * [simplify]: Extracting #4: cost 230 inf + 5302 70.288 * * [simplify]: Extracting #5: cost 82 inf + 40844 70.299 * * [simplify]: Extracting #6: cost 0 inf + 67899 70.313 * * [simplify]: Extracting #7: cost 0 inf + 67895 70.333 * * [simplify]: Extracting #8: cost 0 inf + 67894 70.347 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))) 70.347 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))))) 70.347 * * * * [progress]: [ 119 / 188 ] simplifiying candidate # 70.348 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 70.348 * * [simplify]: iters left: 6 (16 enodes) 70.353 * * [simplify]: iters left: 5 (71 enodes) 70.373 * * [simplify]: iters left: 4 (123 enodes) 70.395 * * [simplify]: iters left: 3 (272 enodes) 70.504 * * [simplify]: Extracting #0: cost 1 inf + 0 70.504 * * [simplify]: Extracting #1: cost 27 inf + 0 70.505 * * [simplify]: Extracting #2: cost 144 inf + 1 70.507 * * [simplify]: Extracting #3: cost 221 inf + 3 70.510 * * [simplify]: Extracting #4: cost 211 inf + 4995 70.522 * * [simplify]: Extracting #5: cost 64 inf + 35912 70.540 * * [simplify]: Extracting #6: cost 2 inf + 54135 70.554 * * [simplify]: Extracting #7: cost 0 inf + 54518 70.565 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 70.565 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 70.565 * * * * [progress]: [ 120 / 188 ] simplifiying candidate # 70.565 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 70.565 * * [simplify]: iters left: 6 (16 enodes) 70.574 * * [simplify]: iters left: 5 (71 enodes) 70.596 * * [simplify]: iters left: 4 (123 enodes) 70.618 * * [simplify]: iters left: 3 (272 enodes) 70.706 * * [simplify]: Extracting #0: cost 1 inf + 0 70.707 * * [simplify]: Extracting #1: cost 27 inf + 0 70.707 * * [simplify]: Extracting #2: cost 144 inf + 1 70.709 * * [simplify]: Extracting #3: cost 221 inf + 3 70.712 * * [simplify]: Extracting #4: cost 211 inf + 4995 70.725 * * [simplify]: Extracting #5: cost 64 inf + 35912 70.735 * * [simplify]: Extracting #6: cost 2 inf + 54135 70.746 * * [simplify]: Extracting #7: cost 0 inf + 54518 70.767 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 70.767 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 70.767 * * * * [progress]: [ 121 / 188 ] simplifiying candidate # 70.767 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 70.768 * * [simplify]: iters left: 6 (16 enodes) 70.776 * * [simplify]: iters left: 5 (70 enodes) 70.788 * * [simplify]: iters left: 4 (119 enodes) 70.816 * * [simplify]: iters left: 3 (258 enodes) 70.944 * * [simplify]: Extracting #0: cost 1 inf + 0 70.945 * * [simplify]: Extracting #1: cost 28 inf + 0 70.948 * * [simplify]: Extracting #2: cost 169 inf + 1 70.949 * * [simplify]: Extracting #3: cost 261 inf + 3 70.950 * * [simplify]: Extracting #4: cost 250 inf + 3356 70.953 * * [simplify]: Extracting #5: cost 150 inf + 21747 70.962 * * [simplify]: Extracting #6: cost 28 inf + 56068 70.980 * * [simplify]: Extracting #7: cost 0 inf + 63300 71.002 * * [simplify]: Extracting #8: cost 0 inf + 63150 71.013 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* PI (* n 2)))) (log (sqrt k))) 71.013 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* PI (* n 2)))) (log (sqrt k))))) 71.013 * * * * [progress]: [ 122 / 188 ] simplifiying candidate # 71.013 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 71.013 * * [simplify]: iters left: 6 (17 enodes) 71.019 * * [simplify]: iters left: 5 (71 enodes) 71.030 * * [simplify]: iters left: 4 (117 enodes) 71.071 * * [simplify]: iters left: 3 (311 enodes) 71.174 * * [simplify]: Extracting #0: cost 1 inf + 0 71.174 * * [simplify]: Extracting #1: cost 33 inf + 0 71.174 * * [simplify]: Extracting #2: cost 130 inf + 1 71.175 * * [simplify]: Extracting #3: cost 189 inf + 185 71.177 * * [simplify]: Extracting #4: cost 177 inf + 8184 71.184 * * [simplify]: Extracting #5: cost 41 inf + 45294 71.199 * * [simplify]: Extracting #6: cost 0 inf + 59667 71.221 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))) 71.221 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))))) 71.221 * * * * [progress]: [ 123 / 188 ] simplifiying candidate # 71.221 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 71.221 * * [simplify]: iters left: 6 (16 enodes) 71.235 * * [simplify]: iters left: 5 (69 enodes) 71.256 * * [simplify]: iters left: 4 (110 enodes) 71.295 * * [simplify]: iters left: 3 (252 enodes) 71.388 * * [simplify]: Extracting #0: cost 1 inf + 0 71.388 * * [simplify]: Extracting #1: cost 28 inf + 0 71.389 * * [simplify]: Extracting #2: cost 118 inf + 1 71.389 * * [simplify]: Extracting #3: cost 174 inf + 3 71.390 * * [simplify]: Extracting #4: cost 181 inf + 1928 71.393 * * [simplify]: Extracting #5: cost 95 inf + 21108 71.401 * * [simplify]: Extracting #6: cost 6 inf + 47253 71.412 * * [simplify]: Extracting #7: cost 0 inf + 48531 71.422 * * [simplify]: Extracting #8: cost 0 inf + 48527 71.434 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 71.434 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 71.434 * * * * [progress]: [ 124 / 188 ] simplifiying candidate # 71.434 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 71.434 * * [simplify]: iters left: 6 (15 enodes) 71.440 * * [simplify]: iters left: 5 (68 enodes) 71.461 * * [simplify]: iters left: 4 (117 enodes) 71.501 * * [simplify]: iters left: 3 (236 enodes) 71.614 * * [simplify]: Extracting #0: cost 1 inf + 0 71.614 * * [simplify]: Extracting #1: cost 21 inf + 0 71.615 * * [simplify]: Extracting #2: cost 101 inf + 1 71.615 * * [simplify]: Extracting #3: cost 159 inf + 3 71.617 * * [simplify]: Extracting #4: cost 180 inf + 782 71.621 * * [simplify]: Extracting #5: cost 104 inf + 12597 71.632 * * [simplify]: Extracting #6: cost 22 inf + 31857 71.646 * * [simplify]: Extracting #7: cost 0 inf + 39054 71.662 * * [simplify]: Extracting #8: cost 0 inf + 39051 71.677 * * [simplify]: Extracting #9: cost 0 inf + 39050 71.696 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 71.696 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 71.696 * * * * [progress]: [ 125 / 188 ] simplifiying candidate # 71.696 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 71.696 * * [simplify]: iters left: 6 (15 enodes) 71.705 * * [simplify]: iters left: 5 (68 enodes) 71.719 * * [simplify]: iters left: 4 (117 enodes) 71.740 * * [simplify]: iters left: 3 (236 enodes) 71.818 * * [simplify]: Extracting #0: cost 1 inf + 0 71.819 * * [simplify]: Extracting #1: cost 21 inf + 0 71.819 * * [simplify]: Extracting #2: cost 101 inf + 1 71.819 * * [simplify]: Extracting #3: cost 159 inf + 3 71.820 * * [simplify]: Extracting #4: cost 180 inf + 782 71.822 * * [simplify]: Extracting #5: cost 104 inf + 12597 71.828 * * [simplify]: Extracting #6: cost 22 inf + 31857 71.835 * * [simplify]: Extracting #7: cost 0 inf + 39054 71.843 * * [simplify]: Extracting #8: cost 0 inf + 39051 71.854 * * [simplify]: Extracting #9: cost 0 inf + 39050 71.869 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 71.870 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 71.870 * * * * [progress]: [ 126 / 188 ] simplifiying candidate # 71.870 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 71.871 * * [simplify]: iters left: 6 (15 enodes) 71.883 * * [simplify]: iters left: 5 (67 enodes) 71.904 * * [simplify]: iters left: 4 (117 enodes) 71.926 * * [simplify]: iters left: 3 (227 enodes) 72.015 * * [simplify]: Extracting #0: cost 1 inf + 0 72.015 * * [simplify]: Extracting #1: cost 22 inf + 0 72.016 * * [simplify]: Extracting #2: cost 126 inf + 1 72.017 * * [simplify]: Extracting #3: cost 202 inf + 3 72.018 * * [simplify]: Extracting #4: cost 195 inf + 1827 72.024 * * [simplify]: Extracting #5: cost 110 inf + 19047 72.038 * * [simplify]: Extracting #6: cost 15 inf + 43257 72.054 * * [simplify]: Extracting #7: cost 0 inf + 48263 72.071 * [simplify]: Simplified to (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))) 72.071 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 72.071 * * * * [progress]: [ 127 / 188 ] simplifiying candidate # 72.071 * [simplify]: Simplifying (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 72.072 * * [simplify]: iters left: 6 (14 enodes) 72.079 * * [simplify]: iters left: 5 (63 enodes) 72.097 * * [simplify]: iters left: 4 (117 enodes) 72.121 * * [simplify]: iters left: 3 (237 enodes) 72.216 * * [simplify]: Extracting #0: cost 1 inf + 0 72.217 * * [simplify]: Extracting #1: cost 14 inf + 0 72.217 * * [simplify]: Extracting #2: cost 105 inf + 1 72.218 * * [simplify]: Extracting #3: cost 179 inf + 4 72.219 * * [simplify]: Extracting #4: cost 191 inf + 481 72.222 * * [simplify]: Extracting #5: cost 158 inf + 3704 72.227 * * [simplify]: Extracting #6: cost 80 inf + 20084 72.245 * * [simplify]: Extracting #7: cost 12 inf + 49109 72.259 * * [simplify]: Extracting #8: cost 0 inf + 55806 72.267 * [simplify]: Simplified to (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 72.267 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))))) 72.268 * * * * [progress]: [ 128 / 188 ] simplifiying candidate # 72.268 * [simplify]: Simplifying (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 72.268 * * [simplify]: iters left: 6 (14 enodes) 72.272 * * [simplify]: iters left: 5 (62 enodes) 72.284 * * [simplify]: iters left: 4 (108 enodes) 72.322 * * [simplify]: iters left: 3 (210 enodes) 72.394 * * [simplify]: iters left: 2 (478 enodes) 72.587 * * [simplify]: Extracting #0: cost 1 inf + 0 72.587 * * [simplify]: Extracting #1: cost 37 inf + 0 72.587 * * [simplify]: Extracting #2: cost 178 inf + 2 72.588 * * [simplify]: Extracting #3: cost 326 inf + 6 72.590 * * [simplify]: Extracting #4: cost 318 inf + 7067 72.596 * * [simplify]: Extracting #5: cost 222 inf + 42981 72.615 * * [simplify]: Extracting #6: cost 78 inf + 128710 72.642 * * [simplify]: Extracting #7: cost 8 inf + 178541 72.669 * * [simplify]: Extracting #8: cost 0 inf + 184876 72.695 * [simplify]: Simplified to (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 72.695 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 72.695 * * * * [progress]: [ 129 / 188 ] simplifiying candidate # 72.695 * [simplify]: Simplifying (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 72.695 * * [simplify]: iters left: 6 (19 enodes) 72.701 * * [simplify]: iters left: 5 (80 enodes) 72.731 * * [simplify]: iters left: 4 (188 enodes) 72.816 * * [simplify]: Extracting #0: cost 1 inf + 0 72.816 * * [simplify]: Extracting #1: cost 52 inf + 0 72.816 * * [simplify]: Extracting #2: cost 152 inf + 248 72.817 * * [simplify]: Extracting #3: cost 163 inf + 1599 72.818 * * [simplify]: Extracting #4: cost 149 inf + 2885 72.821 * * [simplify]: Extracting #5: cost 100 inf + 20002 72.832 * * [simplify]: Extracting #6: cost 4 inf + 73803 72.852 * * [simplify]: Extracting #7: cost 0 inf + 75145 72.877 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) k) (sqrt k))) 72.877 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) k) (sqrt k))))) 72.878 * * * * [progress]: [ 130 / 188 ] simplifiying candidate # 72.878 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 72.878 * * [simplify]: iters left: 6 (17 enodes) 72.888 * * [simplify]: iters left: 5 (81 enodes) 72.918 * * [simplify]: iters left: 4 (170 enodes) 73.011 * * [simplify]: iters left: 3 (480 enodes) 73.355 * * [simplify]: Extracting #0: cost 1 inf + 0 73.355 * * [simplify]: Extracting #1: cost 101 inf + 0 73.358 * * [simplify]: Extracting #2: cost 415 inf + 371 73.362 * * [simplify]: Extracting #3: cost 448 inf + 1822 73.367 * * [simplify]: Extracting #4: cost 426 inf + 4278 73.376 * * [simplify]: Extracting #5: cost 283 inf + 80277 73.425 * * [simplify]: Extracting #6: cost 51 inf + 248770 73.512 * * [simplify]: Extracting #7: cost 0 inf + 288449 73.604 * * [simplify]: Extracting #8: cost 0 inf + 285029 73.672 * * [simplify]: Extracting #9: cost 0 inf + 284948 73.762 * [simplify]: Simplified to (/ (/ (* (* (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (pow (* n (* PI 2)) (- 1/4 (/ k 4)))) (pow (* n (* PI 2)) (- 1/4 (/ k 4)))) k) (/ (sqrt k) (* (* (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (pow (* n (* PI 2)) (- 1/4 (/ k 4)))) (pow (* n (* PI 2)) (- 1/4 (/ k 4)))))) 73.763 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (* (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (pow (* n (* PI 2)) (- 1/4 (/ k 4)))) (pow (* n (* PI 2)) (- 1/4 (/ k 4)))) k) (/ (sqrt k) (* (* (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (pow (* n (* PI 2)) (- 1/4 (/ k 4)))) (pow (* n (* PI 2)) (- 1/4 (/ k 4)))))))) 73.763 * * * * [progress]: [ 131 / 188 ] simplifiying candidate # 73.763 * [simplify]: Simplifying (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 73.763 * * [simplify]: iters left: 6 (15 enodes) 73.773 * * [simplify]: iters left: 5 (63 enodes) 73.790 * * [simplify]: iters left: 4 (102 enodes) 73.822 * * [simplify]: iters left: 3 (181 enodes) 73.866 * * [simplify]: iters left: 2 (361 enodes) 73.998 * * [simplify]: Extracting #0: cost 1 inf + 0 73.999 * * [simplify]: Extracting #1: cost 3 inf + 0 73.999 * * [simplify]: Extracting #2: cost 5 inf + 0 73.999 * * [simplify]: Extracting #3: cost 50 inf + 0 74.000 * * [simplify]: Extracting #4: cost 151 inf + 1 74.001 * * [simplify]: Extracting #5: cost 195 inf + 127 74.004 * * [simplify]: Extracting #6: cost 175 inf + 5350 74.009 * * [simplify]: Extracting #7: cost 106 inf + 29716 74.020 * * [simplify]: Extracting #8: cost 21 inf + 80026 74.040 * * [simplify]: Extracting #9: cost 0 inf + 96008 74.068 * [simplify]: Simplified to (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 74.068 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 74.068 * [simplify]: Simplifying (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 74.068 * * [simplify]: iters left: 6 (14 enodes) 74.072 * * [simplify]: iters left: 5 (60 enodes) 74.083 * * [simplify]: iters left: 4 (103 enodes) 74.109 * * [simplify]: iters left: 3 (177 enodes) 74.156 * * [simplify]: iters left: 2 (339 enodes) 74.295 * * [simplify]: Extracting #0: cost 1 inf + 0 74.295 * * [simplify]: Extracting #1: cost 3 inf + 0 74.296 * * [simplify]: Extracting #2: cost 46 inf + 0 74.297 * * [simplify]: Extracting #3: cost 139 inf + 1 74.298 * * [simplify]: Extracting #4: cost 182 inf + 209 74.305 * * [simplify]: Extracting #5: cost 145 inf + 11436 74.318 * * [simplify]: Extracting #6: cost 69 inf + 41479 74.335 * * [simplify]: Extracting #7: cost 5 inf + 90250 74.351 * * [simplify]: Extracting #8: cost 0 inf + 90639 74.371 * * [simplify]: Extracting #9: cost 0 inf + 90355 74.399 * [simplify]: Simplified to (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 74.399 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 74.400 * * * * [progress]: [ 132 / 188 ] simplifiying candidate # 74.400 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 74.400 * * [simplify]: iters left: 6 (15 enodes) 74.409 * * [simplify]: iters left: 5 (73 enodes) 74.440 * * [simplify]: iters left: 4 (180 enodes) 74.542 * * [simplify]: Extracting #0: cost 1 inf + 0 74.542 * * [simplify]: Extracting #1: cost 39 inf + 0 74.543 * * [simplify]: Extracting #2: cost 116 inf + 2 74.543 * * [simplify]: Extracting #3: cost 128 inf + 1071 74.544 * * [simplify]: Extracting #4: cost 121 inf + 1902 74.546 * * [simplify]: Extracting #5: cost 82 inf + 14733 74.560 * * [simplify]: Extracting #6: cost 21 inf + 47898 74.580 * * [simplify]: Extracting #7: cost 0 inf + 63546 74.599 * * [simplify]: Extracting #8: cost 0 inf + 63428 74.614 * [simplify]: Simplified to (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 74.615 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 74.615 * * * * [progress]: [ 133 / 188 ] simplifiying candidate # 74.615 * [simplify]: Simplifying (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 74.615 * * [simplify]: iters left: 6 (14 enodes) 74.619 * * [simplify]: iters left: 5 (60 enodes) 74.630 * * [simplify]: iters left: 4 (103 enodes) 74.660 * * [simplify]: iters left: 3 (177 enodes) 74.717 * * [simplify]: iters left: 2 (339 enodes) 74.874 * * [simplify]: Extracting #0: cost 1 inf + 0 74.874 * * [simplify]: Extracting #1: cost 3 inf + 0 74.874 * * [simplify]: Extracting #2: cost 46 inf + 0 74.875 * * [simplify]: Extracting #3: cost 139 inf + 1 74.875 * * [simplify]: Extracting #4: cost 182 inf + 209 74.877 * * [simplify]: Extracting #5: cost 145 inf + 11356 74.883 * * [simplify]: Extracting #6: cost 69 inf + 41399 74.898 * * [simplify]: Extracting #7: cost 5 inf + 90170 74.926 * * [simplify]: Extracting #8: cost 0 inf + 90559 74.941 * * [simplify]: Extracting #9: cost 0 inf + 90275 74.965 * [simplify]: Simplified to (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 74.965 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 74.966 * [simplify]: Simplifying (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 74.966 * * [simplify]: iters left: 6 (14 enodes) 74.976 * * [simplify]: iters left: 5 (60 enodes) 74.997 * * [simplify]: iters left: 4 (103 enodes) 75.018 * * [simplify]: iters left: 3 (177 enodes) 75.076 * * [simplify]: iters left: 2 (339 enodes) 75.219 * * [simplify]: Extracting #0: cost 1 inf + 0 75.219 * * [simplify]: Extracting #1: cost 3 inf + 0 75.219 * * [simplify]: Extracting #2: cost 46 inf + 0 75.220 * * [simplify]: Extracting #3: cost 139 inf + 1 75.220 * * [simplify]: Extracting #4: cost 182 inf + 209 75.222 * * [simplify]: Extracting #5: cost 145 inf + 11356 75.228 * * [simplify]: Extracting #6: cost 69 inf + 41399 75.241 * * [simplify]: Extracting #7: cost 5 inf + 90170 75.271 * * [simplify]: Extracting #8: cost 0 inf + 90559 75.300 * * [simplify]: Extracting #9: cost 0 inf + 90275 75.329 * [simplify]: Simplified to (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 75.329 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 75.330 * * * * [progress]: [ 134 / 188 ] simplifiying candidate # 75.330 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ 1 2))) 75.330 * * [simplify]: iters left: 6 (9 enodes) 75.337 * * [simplify]: iters left: 5 (37 enodes) 75.351 * * [simplify]: iters left: 4 (66 enodes) 75.372 * * [simplify]: iters left: 3 (107 enodes) 75.395 * * [simplify]: iters left: 2 (175 enodes) 75.463 * * [simplify]: iters left: 1 (323 enodes) 75.625 * * [simplify]: Extracting #0: cost 1 inf + 0 75.626 * * [simplify]: Extracting #1: cost 29 inf + 0 75.626 * * [simplify]: Extracting #2: cost 110 inf + 3 75.627 * * [simplify]: Extracting #3: cost 100 inf + 304 75.630 * * [simplify]: Extracting #4: cost 69 inf + 11260 75.639 * * [simplify]: Extracting #5: cost 14 inf + 46974 75.653 * * [simplify]: Extracting #6: cost 0 inf + 58618 75.667 * * [simplify]: Extracting #7: cost 0 inf + 57674 75.681 * [simplify]: Simplified to (sqrt (* PI (* 2 n))) 75.681 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))))) 75.681 * [simplify]: Simplifying (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))) 75.681 * * [simplify]: iters left: 6 (10 enodes) 75.686 * * [simplify]: iters left: 5 (38 enodes) 75.702 * * [simplify]: iters left: 4 (62 enodes) 75.721 * * [simplify]: iters left: 3 (104 enodes) 75.753 * * [simplify]: iters left: 2 (205 enodes) 75.819 * * [simplify]: iters left: 1 (474 enodes) 76.228 * * [simplify]: Extracting #0: cost 1 inf + 0 76.228 * * [simplify]: Extracting #1: cost 54 inf + 0 76.229 * * [simplify]: Extracting #2: cost 186 inf + 0 76.230 * * [simplify]: Extracting #3: cost 223 inf + 128 76.231 * * [simplify]: Extracting #4: cost 201 inf + 1594 76.233 * * [simplify]: Extracting #5: cost 159 inf + 10166 76.245 * * [simplify]: Extracting #6: cost 56 inf + 92292 76.279 * * [simplify]: Extracting #7: cost 0 inf + 142698 76.301 * * [simplify]: Extracting #8: cost 0 inf + 141152 76.322 * * [simplify]: Extracting #9: cost 0 inf + 140857 76.364 * * [simplify]: Extracting #10: cost 0 inf + 140565 76.407 * [simplify]: Simplified to (* (pow (* (* 2 n) PI) (* 1/2 k)) (sqrt k)) 76.407 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (pow (* (* 2 n) PI) (* 1/2 k)) (sqrt k)))) 76.407 * * * * [progress]: [ 135 / 188 ] simplifiying candidate # 76.408 * * * * [progress]: [ 136 / 188 ] simplifiying candidate # 76.408 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 76.408 * * [simplify]: iters left: 6 (15 enodes) 76.416 * * [simplify]: iters left: 5 (61 enodes) 76.435 * * [simplify]: iters left: 4 (91 enodes) 76.463 * * [simplify]: iters left: 3 (131 enodes) 76.508 * * [simplify]: iters left: 2 (227 enodes) 76.565 * * [simplify]: iters left: 1 (401 enodes) 76.756 * * [simplify]: Extracting #0: cost 1 inf + 0 76.756 * * [simplify]: Extracting #1: cost 4 inf + 0 76.756 * * [simplify]: Extracting #2: cost 9 inf + 0 76.756 * * [simplify]: Extracting #3: cost 44 inf + 0 76.757 * * [simplify]: Extracting #4: cost 133 inf + 2 76.759 * * [simplify]: Extracting #5: cost 180 inf + 422 76.761 * * [simplify]: Extracting #6: cost 146 inf + 4013 76.770 * * [simplify]: Extracting #7: cost 63 inf + 23286 76.788 * * [simplify]: Extracting #8: cost 7 inf + 66217 76.800 * * [simplify]: Extracting #9: cost 0 inf + 68770 76.812 * * [simplify]: Extracting #10: cost 0 inf + 65913 76.832 * * [simplify]: Extracting #11: cost 0 inf + 65741 76.856 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (fabs (pow (* (* n 2) PI) (- 1/4 (/ k 4))))) 76.856 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (fabs (pow (* (* n 2) PI) (- 1/4 (/ k 4))))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 76.856 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 76.856 * * [simplify]: iters left: 6 (15 enodes) 76.864 * * [simplify]: iters left: 5 (61 enodes) 76.887 * * [simplify]: iters left: 4 (91 enodes) 76.905 * * [simplify]: iters left: 3 (131 enodes) 76.930 * * [simplify]: iters left: 2 (227 enodes) 76.984 * * [simplify]: iters left: 1 (401 enodes) 77.192 * * [simplify]: Extracting #0: cost 1 inf + 0 77.192 * * [simplify]: Extracting #1: cost 4 inf + 0 77.192 * * [simplify]: Extracting #2: cost 9 inf + 0 77.192 * * [simplify]: Extracting #3: cost 44 inf + 0 77.193 * * [simplify]: Extracting #4: cost 133 inf + 2 77.194 * * [simplify]: Extracting #5: cost 180 inf + 422 77.197 * * [simplify]: Extracting #6: cost 146 inf + 4013 77.205 * * [simplify]: Extracting #7: cost 63 inf + 23286 77.228 * * [simplify]: Extracting #8: cost 7 inf + 66217 77.252 * * [simplify]: Extracting #9: cost 0 inf + 68770 77.275 * * [simplify]: Extracting #10: cost 0 inf + 65913 77.299 * * [simplify]: Extracting #11: cost 0 inf + 65741 77.321 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (fabs (pow (* (* n 2) PI) (- 1/4 (/ k 4))))) 77.321 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (/ 1 (sqrt k))) (fabs (pow (* (* n 2) PI) (- 1/4 (/ k 4))))))) 77.322 * * * * [progress]: [ 137 / 188 ] simplifiying candidate # 77.322 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 77.322 * * [simplify]: iters left: 6 (15 enodes) 77.331 * * [simplify]: iters left: 5 (64 enodes) 77.350 * * [simplify]: iters left: 4 (101 enodes) 77.385 * * [simplify]: iters left: 3 (160 enodes) 77.442 * * [simplify]: iters left: 2 (307 enodes) 77.556 * * [simplify]: Extracting #0: cost 1 inf + 0 77.556 * * [simplify]: Extracting #1: cost 40 inf + 0 77.556 * * [simplify]: Extracting #2: cost 111 inf + 0 77.557 * * [simplify]: Extracting #3: cost 166 inf + 2 77.558 * * [simplify]: Extracting #4: cost 181 inf + 139 77.559 * * [simplify]: Extracting #5: cost 147 inf + 4701 77.563 * * [simplify]: Extracting #6: cost 66 inf + 32947 77.578 * * [simplify]: Extracting #7: cost 15 inf + 70703 77.601 * * [simplify]: Extracting #8: cost 1 inf + 79793 77.625 * * [simplify]: Extracting #9: cost 0 inf + 80911 77.646 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (- 1/4 (/ k 4)))) 77.646 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (- 1/4 (/ k 4)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 77.646 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 77.646 * * [simplify]: iters left: 6 (15 enodes) 77.651 * * [simplify]: iters left: 5 (64 enodes) 77.663 * * [simplify]: iters left: 4 (101 enodes) 77.680 * * [simplify]: iters left: 3 (160 enodes) 77.711 * * [simplify]: iters left: 2 (307 enodes) 77.799 * * [simplify]: Extracting #0: cost 1 inf + 0 77.800 * * [simplify]: Extracting #1: cost 40 inf + 0 77.800 * * [simplify]: Extracting #2: cost 111 inf + 0 77.800 * * [simplify]: Extracting #3: cost 166 inf + 2 77.801 * * [simplify]: Extracting #4: cost 181 inf + 139 77.802 * * [simplify]: Extracting #5: cost 147 inf + 4701 77.815 * * [simplify]: Extracting #6: cost 66 inf + 32947 77.836 * * [simplify]: Extracting #7: cost 15 inf + 70703 77.860 * * [simplify]: Extracting #8: cost 1 inf + 79793 77.884 * * [simplify]: Extracting #9: cost 0 inf + 80911 77.908 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (- 1/4 (/ k 4)))) 77.908 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (- 1/4 (/ k 4)))))) 77.908 * * * * [progress]: [ 138 / 188 ] simplifiying candidate # 77.908 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 77.909 * * [simplify]: iters left: 6 (16 enodes) 77.918 * * [simplify]: iters left: 5 (66 enodes) 77.939 * * [simplify]: iters left: 4 (106 enodes) 77.975 * * [simplify]: iters left: 3 (158 enodes) 78.011 * * [simplify]: iters left: 2 (244 enodes) 78.095 * * [simplify]: iters left: 1 (418 enodes) 78.248 * * [simplify]: Extracting #0: cost 1 inf + 0 78.248 * * [simplify]: Extracting #1: cost 7 inf + 0 78.248 * * [simplify]: Extracting #2: cost 13 inf + 1 78.248 * * [simplify]: Extracting #3: cost 39 inf + 1 78.249 * * [simplify]: Extracting #4: cost 119 inf + 288 78.250 * * [simplify]: Extracting #5: cost 155 inf + 1532 78.253 * * [simplify]: Extracting #6: cost 102 inf + 8479 78.263 * * [simplify]: Extracting #7: cost 34 inf + 33661 78.280 * * [simplify]: Extracting #8: cost 2 inf + 59103 78.292 * * [simplify]: Extracting #9: cost 0 inf + 61070 78.302 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 78.302 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 78.302 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 78.303 * * [simplify]: iters left: 6 (16 enodes) 78.308 * * [simplify]: iters left: 5 (66 enodes) 78.329 * * [simplify]: iters left: 4 (106 enodes) 78.363 * * [simplify]: iters left: 3 (158 enodes) 78.412 * * [simplify]: iters left: 2 (244 enodes) 78.466 * * [simplify]: iters left: 1 (418 enodes) 78.605 * * [simplify]: Extracting #0: cost 1 inf + 0 78.605 * * [simplify]: Extracting #1: cost 7 inf + 0 78.605 * * [simplify]: Extracting #2: cost 13 inf + 1 78.606 * * [simplify]: Extracting #3: cost 39 inf + 1 78.606 * * [simplify]: Extracting #4: cost 119 inf + 288 78.608 * * [simplify]: Extracting #5: cost 155 inf + 1532 78.612 * * [simplify]: Extracting #6: cost 102 inf + 8479 78.623 * * [simplify]: Extracting #7: cost 34 inf + 33661 78.641 * * [simplify]: Extracting #8: cost 2 inf + 59103 78.659 * * [simplify]: Extracting #9: cost 0 inf + 61070 78.678 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 78.678 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 78.679 * * * * [progress]: [ 139 / 188 ] simplifiying candidate # 78.679 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 78.679 * * [simplify]: iters left: 6 (16 enodes) 78.689 * * [simplify]: iters left: 5 (69 enodes) 78.702 * * [simplify]: iters left: 4 (113 enodes) 78.729 * * [simplify]: iters left: 3 (200 enodes) 78.804 * * [simplify]: iters left: 2 (403 enodes) 78.942 * * [simplify]: Extracting #0: cost 1 inf + 0 78.943 * * [simplify]: Extracting #1: cost 49 inf + 0 78.943 * * [simplify]: Extracting #2: cost 145 inf + 1 78.944 * * [simplify]: Extracting #3: cost 202 inf + 3 78.945 * * [simplify]: Extracting #4: cost 198 inf + 1335 78.948 * * [simplify]: Extracting #5: cost 138 inf + 12758 78.956 * * [simplify]: Extracting #6: cost 51 inf + 58816 78.972 * * [simplify]: Extracting #7: cost 0 inf + 99236 78.999 * * [simplify]: Extracting #8: cost 0 inf + 99076 79.030 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 4)) (sqrt (sqrt k))) 79.030 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n (* PI 2)) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 79.030 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 79.031 * * [simplify]: iters left: 6 (16 enodes) 79.040 * * [simplify]: iters left: 5 (69 enodes) 79.062 * * [simplify]: iters left: 4 (113 enodes) 79.090 * * [simplify]: iters left: 3 (200 enodes) 79.159 * * [simplify]: iters left: 2 (403 enodes) 79.373 * * [simplify]: Extracting #0: cost 1 inf + 0 79.373 * * [simplify]: Extracting #1: cost 49 inf + 0 79.374 * * [simplify]: Extracting #2: cost 145 inf + 1 79.376 * * [simplify]: Extracting #3: cost 202 inf + 3 79.378 * * [simplify]: Extracting #4: cost 198 inf + 1335 79.383 * * [simplify]: Extracting #5: cost 138 inf + 12758 79.400 * * [simplify]: Extracting #6: cost 51 inf + 58816 79.430 * * [simplify]: Extracting #7: cost 0 inf + 99236 79.450 * * [simplify]: Extracting #8: cost 0 inf + 99076 79.466 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 4)) (sqrt (sqrt k))) 79.466 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 79.466 * * * * [progress]: [ 140 / 188 ] simplifiying candidate # 79.466 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 79.467 * * [simplify]: iters left: 6 (16 enodes) 79.472 * * [simplify]: iters left: 5 (66 enodes) 79.493 * * [simplify]: iters left: 4 (106 enodes) 79.525 * * [simplify]: iters left: 3 (158 enodes) 79.571 * * [simplify]: iters left: 2 (244 enodes) 79.634 * * [simplify]: iters left: 1 (418 enodes) 79.791 * * [simplify]: Extracting #0: cost 1 inf + 0 79.791 * * [simplify]: Extracting #1: cost 7 inf + 0 79.791 * * [simplify]: Extracting #2: cost 13 inf + 1 79.791 * * [simplify]: Extracting #3: cost 39 inf + 1 79.792 * * [simplify]: Extracting #4: cost 119 inf + 288 79.794 * * [simplify]: Extracting #5: cost 155 inf + 1532 79.798 * * [simplify]: Extracting #6: cost 102 inf + 8479 79.813 * * [simplify]: Extracting #7: cost 34 inf + 33661 79.831 * * [simplify]: Extracting #8: cost 2 inf + 59103 79.850 * * [simplify]: Extracting #9: cost 0 inf + 61070 79.869 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 79.869 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 79.869 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 79.869 * * [simplify]: iters left: 6 (16 enodes) 79.879 * * [simplify]: iters left: 5 (66 enodes) 79.899 * * [simplify]: iters left: 4 (106 enodes) 79.923 * * [simplify]: iters left: 3 (158 enodes) 79.960 * * [simplify]: iters left: 2 (244 enodes) 80.019 * * [simplify]: iters left: 1 (418 enodes) 80.160 * * [simplify]: Extracting #0: cost 1 inf + 0 80.161 * * [simplify]: Extracting #1: cost 7 inf + 0 80.161 * * [simplify]: Extracting #2: cost 13 inf + 1 80.161 * * [simplify]: Extracting #3: cost 39 inf + 1 80.161 * * [simplify]: Extracting #4: cost 119 inf + 288 80.162 * * [simplify]: Extracting #5: cost 155 inf + 1532 80.165 * * [simplify]: Extracting #6: cost 102 inf + 8479 80.170 * * [simplify]: Extracting #7: cost 34 inf + 33661 80.187 * * [simplify]: Extracting #8: cost 2 inf + 59103 80.204 * * [simplify]: Extracting #9: cost 0 inf + 61070 80.214 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 80.214 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 80.214 * * * * [progress]: [ 141 / 188 ] simplifiying candidate # 80.214 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 80.214 * * [simplify]: iters left: 6 (16 enodes) 80.222 * * [simplify]: iters left: 5 (69 enodes) 80.237 * * [simplify]: iters left: 4 (113 enodes) 80.276 * * [simplify]: iters left: 3 (200 enodes) 80.348 * * [simplify]: iters left: 2 (403 enodes) 80.490 * * [simplify]: Extracting #0: cost 1 inf + 0 80.491 * * [simplify]: Extracting #1: cost 49 inf + 0 80.491 * * [simplify]: Extracting #2: cost 145 inf + 1 80.493 * * [simplify]: Extracting #3: cost 202 inf + 3 80.495 * * [simplify]: Extracting #4: cost 198 inf + 1335 80.500 * * [simplify]: Extracting #5: cost 138 inf + 12758 80.512 * * [simplify]: Extracting #6: cost 51 inf + 58816 80.531 * * [simplify]: Extracting #7: cost 0 inf + 99236 80.550 * * [simplify]: Extracting #8: cost 0 inf + 99076 80.581 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 4)) (sqrt (sqrt k))) 80.581 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n (* PI 2)) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 80.582 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 80.582 * * [simplify]: iters left: 6 (16 enodes) 80.591 * * [simplify]: iters left: 5 (69 enodes) 80.603 * * [simplify]: iters left: 4 (113 enodes) 80.624 * * [simplify]: iters left: 3 (200 enodes) 80.706 * * [simplify]: iters left: 2 (403 enodes) 80.839 * * [simplify]: Extracting #0: cost 1 inf + 0 80.839 * * [simplify]: Extracting #1: cost 49 inf + 0 80.840 * * [simplify]: Extracting #2: cost 145 inf + 1 80.841 * * [simplify]: Extracting #3: cost 202 inf + 3 80.842 * * [simplify]: Extracting #4: cost 198 inf + 1335 80.846 * * [simplify]: Extracting #5: cost 138 inf + 12758 80.864 * * [simplify]: Extracting #6: cost 51 inf + 58816 80.894 * * [simplify]: Extracting #7: cost 0 inf + 99236 80.924 * * [simplify]: Extracting #8: cost 0 inf + 99076 80.949 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 4)) (sqrt (sqrt k))) 80.949 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 80.949 * * * * [progress]: [ 142 / 188 ] simplifiying candidate # 80.950 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 80.950 * * [simplify]: iters left: 6 (15 enodes) 80.954 * * [simplify]: iters left: 5 (63 enodes) 80.965 * * [simplify]: iters left: 4 (97 enodes) 80.982 * * [simplify]: iters left: 3 (154 enodes) 81.010 * * [simplify]: iters left: 2 (256 enodes) 81.064 * * [simplify]: iters left: 1 (427 enodes) 81.212 * * [simplify]: Extracting #0: cost 1 inf + 0 81.212 * * [simplify]: Extracting #1: cost 7 inf + 0 81.212 * * [simplify]: Extracting #2: cost 13 inf + 1 81.213 * * [simplify]: Extracting #3: cost 43 inf + 1 81.213 * * [simplify]: Extracting #4: cost 125 inf + 3 81.214 * * [simplify]: Extracting #5: cost 171 inf + 1538 81.217 * * [simplify]: Extracting #6: cost 93 inf + 14211 81.230 * * [simplify]: Extracting #7: cost 16 inf + 52552 81.248 * * [simplify]: Extracting #8: cost 0 inf + 65525 81.258 * * [simplify]: Extracting #9: cost 0 inf + 65445 81.268 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 81.268 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 81.269 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 81.269 * * [simplify]: iters left: 6 (15 enodes) 81.275 * * [simplify]: iters left: 5 (63 enodes) 81.294 * * [simplify]: iters left: 4 (97 enodes) 81.326 * * [simplify]: iters left: 3 (154 enodes) 81.357 * * [simplify]: iters left: 2 (256 enodes) 81.429 * * [simplify]: iters left: 1 (427 enodes) 81.618 * * [simplify]: Extracting #0: cost 1 inf + 0 81.618 * * [simplify]: Extracting #1: cost 7 inf + 0 81.618 * * [simplify]: Extracting #2: cost 13 inf + 1 81.619 * * [simplify]: Extracting #3: cost 43 inf + 1 81.619 * * [simplify]: Extracting #4: cost 125 inf + 3 81.621 * * [simplify]: Extracting #5: cost 171 inf + 1538 81.627 * * [simplify]: Extracting #6: cost 93 inf + 14211 81.647 * * [simplify]: Extracting #7: cost 16 inf + 52552 81.657 * * [simplify]: Extracting #8: cost 0 inf + 65525 81.668 * * [simplify]: Extracting #9: cost 0 inf + 65445 81.688 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 81.688 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 81.688 * * * * [progress]: [ 143 / 188 ] simplifiying candidate # 81.689 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 81.689 * * [simplify]: iters left: 6 (15 enodes) 81.697 * * [simplify]: iters left: 5 (66 enodes) 81.715 * * [simplify]: iters left: 4 (109 enodes) 81.734 * * [simplify]: iters left: 3 (192 enodes) 81.812 * * [simplify]: iters left: 2 (380 enodes) 81.968 * * [simplify]: Extracting #0: cost 1 inf + 0 81.968 * * [simplify]: Extracting #1: cost 44 inf + 0 81.968 * * [simplify]: Extracting #2: cost 136 inf + 1 81.969 * * [simplify]: Extracting #3: cost 190 inf + 3 81.970 * * [simplify]: Extracting #4: cost 171 inf + 5730 81.982 * * [simplify]: Extracting #5: cost 80 inf + 35174 82.005 * * [simplify]: Extracting #6: cost 5 inf + 88681 82.020 * * [simplify]: Extracting #7: cost 0 inf + 92754 82.035 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 82.035 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 82.035 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 82.035 * * [simplify]: iters left: 6 (15 enodes) 82.041 * * [simplify]: iters left: 5 (66 enodes) 82.065 * * [simplify]: iters left: 4 (109 enodes) 82.085 * * [simplify]: iters left: 3 (192 enodes) 82.139 * * [simplify]: iters left: 2 (380 enodes) 82.280 * * [simplify]: Extracting #0: cost 1 inf + 0 82.280 * * [simplify]: Extracting #1: cost 44 inf + 0 82.281 * * [simplify]: Extracting #2: cost 136 inf + 1 82.282 * * [simplify]: Extracting #3: cost 190 inf + 3 82.285 * * [simplify]: Extracting #4: cost 171 inf + 5730 82.296 * * [simplify]: Extracting #5: cost 80 inf + 35174 82.311 * * [simplify]: Extracting #6: cost 5 inf + 88681 82.328 * * [simplify]: Extracting #7: cost 0 inf + 92754 82.344 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 82.345 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 82.345 * * * * [progress]: [ 144 / 188 ] simplifiying candidate # 82.345 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 82.345 * * [simplify]: iters left: 6 (15 enodes) 82.350 * * [simplify]: iters left: 5 (63 enodes) 82.361 * * [simplify]: iters left: 4 (97 enodes) 82.392 * * [simplify]: iters left: 3 (154 enodes) 82.431 * * [simplify]: iters left: 2 (256 enodes) 82.498 * * [simplify]: iters left: 1 (427 enodes) 82.658 * * [simplify]: Extracting #0: cost 1 inf + 0 82.658 * * [simplify]: Extracting #1: cost 7 inf + 0 82.658 * * [simplify]: Extracting #2: cost 13 inf + 1 82.658 * * [simplify]: Extracting #3: cost 43 inf + 1 82.659 * * [simplify]: Extracting #4: cost 125 inf + 3 82.660 * * [simplify]: Extracting #5: cost 171 inf + 1538 82.666 * * [simplify]: Extracting #6: cost 93 inf + 14211 82.680 * * [simplify]: Extracting #7: cost 16 inf + 52552 82.690 * * [simplify]: Extracting #8: cost 0 inf + 65525 82.700 * * [simplify]: Extracting #9: cost 0 inf + 65445 82.714 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 82.715 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 82.715 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 82.715 * * [simplify]: iters left: 6 (15 enodes) 82.723 * * [simplify]: iters left: 5 (63 enodes) 82.742 * * [simplify]: iters left: 4 (97 enodes) 82.774 * * [simplify]: iters left: 3 (154 enodes) 82.826 * * [simplify]: iters left: 2 (256 enodes) 82.891 * * [simplify]: iters left: 1 (427 enodes) 83.430 * * [simplify]: Extracting #0: cost 1 inf + 0 83.430 * * [simplify]: Extracting #1: cost 7 inf + 0 83.430 * * [simplify]: Extracting #2: cost 13 inf + 1 83.430 * * [simplify]: Extracting #3: cost 43 inf + 1 83.431 * * [simplify]: Extracting #4: cost 125 inf + 3 83.433 * * [simplify]: Extracting #5: cost 171 inf + 1538 83.438 * * [simplify]: Extracting #6: cost 93 inf + 14211 83.454 * * [simplify]: Extracting #7: cost 16 inf + 52552 83.474 * * [simplify]: Extracting #8: cost 0 inf + 65525 83.494 * * [simplify]: Extracting #9: cost 0 inf + 65445 83.515 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 83.515 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 83.515 * * * * [progress]: [ 145 / 188 ] simplifiying candidate # 83.515 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 83.516 * * [simplify]: iters left: 6 (15 enodes) 83.524 * * [simplify]: iters left: 5 (66 enodes) 83.546 * * [simplify]: iters left: 4 (109 enodes) 83.589 * * [simplify]: iters left: 3 (192 enodes) 83.652 * * [simplify]: iters left: 2 (380 enodes) 83.816 * * [simplify]: Extracting #0: cost 1 inf + 0 83.816 * * [simplify]: Extracting #1: cost 44 inf + 0 83.817 * * [simplify]: Extracting #2: cost 136 inf + 1 83.819 * * [simplify]: Extracting #3: cost 190 inf + 3 83.821 * * [simplify]: Extracting #4: cost 171 inf + 5730 83.828 * * [simplify]: Extracting #5: cost 80 inf + 35174 83.841 * * [simplify]: Extracting #6: cost 5 inf + 88681 83.864 * * [simplify]: Extracting #7: cost 0 inf + 92754 83.886 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 83.886 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 83.886 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 83.886 * * [simplify]: iters left: 6 (15 enodes) 83.892 * * [simplify]: iters left: 5 (66 enodes) 83.903 * * [simplify]: iters left: 4 (109 enodes) 83.933 * * [simplify]: iters left: 3 (192 enodes) 84.013 * * [simplify]: iters left: 2 (380 enodes) 84.190 * * [simplify]: Extracting #0: cost 1 inf + 0 84.190 * * [simplify]: Extracting #1: cost 44 inf + 0 84.195 * * [simplify]: Extracting #2: cost 136 inf + 1 84.197 * * [simplify]: Extracting #3: cost 190 inf + 3 84.199 * * [simplify]: Extracting #4: cost 171 inf + 5730 84.206 * * [simplify]: Extracting #5: cost 80 inf + 35174 84.220 * * [simplify]: Extracting #6: cost 5 inf + 88681 84.234 * * [simplify]: Extracting #7: cost 0 inf + 92754 84.249 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 84.249 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 84.249 * * * * [progress]: [ 146 / 188 ] simplifiying candidate # 84.249 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 84.249 * * [simplify]: iters left: 6 (11 enodes) 84.253 * * [simplify]: iters left: 5 (48 enodes) 84.264 * * [simplify]: iters left: 4 (79 enodes) 84.291 * * [simplify]: iters left: 3 (152 enodes) 84.335 * * [simplify]: iters left: 2 (332 enodes) 84.494 * * [simplify]: Extracting #0: cost 1 inf + 0 84.494 * * [simplify]: Extracting #1: cost 45 inf + 0 84.495 * * [simplify]: Extracting #2: cost 144 inf + 1 84.496 * * [simplify]: Extracting #3: cost 187 inf + 168 84.498 * * [simplify]: Extracting #4: cost 167 inf + 3118 84.504 * * [simplify]: Extracting #5: cost 111 inf + 18324 84.515 * * [simplify]: Extracting #6: cost 11 inf + 80974 84.527 * * [simplify]: Extracting #7: cost 0 inf + 86267 84.545 * * [simplify]: Extracting #8: cost 0 inf + 84854 84.572 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 84.572 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (pow n (/ (- 1 k) 2)))) 84.572 * * * * [progress]: [ 147 / 188 ] simplifiying candidate # 84.572 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 84.573 * * [simplify]: iters left: 6 (15 enodes) 84.581 * * [simplify]: iters left: 5 (65 enodes) 84.605 * * [simplify]: iters left: 4 (105 enodes) 84.623 * * [simplify]: iters left: 3 (170 enodes) 84.671 * * [simplify]: iters left: 2 (278 enodes) 84.735 * * [simplify]: iters left: 1 (442 enodes) 84.879 * * [simplify]: Extracting #0: cost 1 inf + 0 84.879 * * [simplify]: Extracting #1: cost 10 inf + 0 84.879 * * [simplify]: Extracting #2: cost 18 inf + 1 84.879 * * [simplify]: Extracting #3: cost 45 inf + 2 84.880 * * [simplify]: Extracting #4: cost 125 inf + 249 84.881 * * [simplify]: Extracting #5: cost 180 inf + 590 84.883 * * [simplify]: Extracting #6: cost 125 inf + 10337 84.888 * * [simplify]: Extracting #7: cost 63 inf + 24967 84.902 * * [simplify]: Extracting #8: cost 20 inf + 57929 84.924 * * [simplify]: Extracting #9: cost 0 inf + 76184 84.946 * [simplify]: Simplified to (/ (* (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) (sqrt k)) 84.946 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 84.946 * * * * [progress]: [ 148 / 188 ] simplifiying candidate # 84.947 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 84.947 * * [simplify]: iters left: 6 (14 enodes) 84.954 * * [simplify]: iters left: 5 (60 enodes) 84.965 * * [simplify]: iters left: 4 (98 enodes) 84.981 * * [simplify]: iters left: 3 (150 enodes) 85.029 * * [simplify]: iters left: 2 (231 enodes) 85.097 * * [simplify]: iters left: 1 (414 enodes) 85.264 * * [simplify]: Extracting #0: cost 1 inf + 0 85.264 * * [simplify]: Extracting #1: cost 7 inf + 0 85.264 * * [simplify]: Extracting #2: cost 13 inf + 1 85.264 * * [simplify]: Extracting #3: cost 36 inf + 2 85.265 * * [simplify]: Extracting #4: cost 118 inf + 249 85.267 * * [simplify]: Extracting #5: cost 151 inf + 794 85.271 * * [simplify]: Extracting #6: cost 95 inf + 9097 85.279 * * [simplify]: Extracting #7: cost 35 inf + 30177 85.296 * * [simplify]: Extracting #8: cost 5 inf + 54452 85.318 * * [simplify]: Extracting #9: cost 0 inf + 58579 85.336 * [simplify]: Simplified to (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)) 85.336 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 85.337 * * * * [progress]: [ 149 / 188 ] simplifiying candidate # 85.337 * [simplify]: Simplifying (* (/ 1 (sqrt k)) 1) 85.337 * * [simplify]: iters left: 5 (5 enodes) 85.340 * * [simplify]: iters left: 4 (18 enodes) 85.345 * * [simplify]: iters left: 3 (20 enodes) 85.351 * * [simplify]: Extracting #0: cost 1 inf + 0 85.351 * * [simplify]: Extracting #1: cost 4 inf + 0 85.351 * * [simplify]: Extracting #2: cost 5 inf + 1 85.351 * * [simplify]: Extracting #3: cost 0 inf + 248 85.351 * [simplify]: Simplified to (/ 1 (sqrt k)) 85.351 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 85.351 * * * * [progress]: [ 150 / 188 ] simplifiying candidate # 85.352 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 85.352 * * [simplify]: iters left: 6 (14 enodes) 85.360 * * [simplify]: iters left: 5 (63 enodes) 85.382 * * [simplify]: iters left: 4 (109 enodes) 85.420 * * [simplify]: iters left: 3 (196 enodes) 85.500 * * [simplify]: iters left: 2 (393 enodes) 85.631 * * [simplify]: Extracting #0: cost 1 inf + 0 85.631 * * [simplify]: Extracting #1: cost 45 inf + 0 85.631 * * [simplify]: Extracting #2: cost 146 inf + 1 85.632 * * [simplify]: Extracting #3: cost 195 inf + 127 85.633 * * [simplify]: Extracting #4: cost 189 inf + 3084 85.636 * * [simplify]: Extracting #5: cost 130 inf + 14454 85.645 * * [simplify]: Extracting #6: cost 37 inf + 66089 85.660 * * [simplify]: Extracting #7: cost 0 inf + 96242 85.687 * * [simplify]: Extracting #8: cost 0 inf + 94767 85.713 * * [simplify]: Extracting #9: cost 0 inf + 94608 85.730 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)) 85.730 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 85.730 * * * * [progress]: [ 151 / 188 ] simplifiying candidate # 85.730 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 85.731 * * [simplify]: iters left: 6 (14 enodes) 85.735 * * [simplify]: iters left: 5 (58 enodes) 85.745 * * [simplify]: iters left: 4 (95 enodes) 85.769 * * [simplify]: iters left: 3 (144 enodes) 85.818 * * [simplify]: iters left: 2 (264 enodes) 85.916 * * [simplify]: Extracting #0: cost 1 inf + 0 85.916 * * [simplify]: Extracting #1: cost 31 inf + 0 85.916 * * [simplify]: Extracting #2: cost 106 inf + 0 85.917 * * [simplify]: Extracting #3: cost 153 inf + 2 85.917 * * [simplify]: Extracting #4: cost 160 inf + 179 85.918 * * [simplify]: Extracting #5: cost 154 inf + 757 85.919 * * [simplify]: Extracting #6: cost 98 inf + 8691 85.924 * * [simplify]: Extracting #7: cost 43 inf + 38649 85.938 * * [simplify]: Extracting #8: cost 1 inf + 72683 85.962 * * [simplify]: Extracting #9: cost 0 inf + 73671 85.981 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))) 85.981 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 85.981 * * * * [progress]: [ 152 / 188 ] simplifiying candidate # 85.981 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 85.981 * * [simplify]: iters left: 6 (14 enodes) 85.985 * * [simplify]: iters left: 5 (58 enodes) 85.995 * * [simplify]: iters left: 4 (95 enodes) 86.011 * * [simplify]: iters left: 3 (144 enodes) 86.060 * * [simplify]: iters left: 2 (264 enodes) 86.138 * * [simplify]: Extracting #0: cost 1 inf + 0 86.138 * * [simplify]: Extracting #1: cost 31 inf + 0 86.138 * * [simplify]: Extracting #2: cost 106 inf + 0 86.139 * * [simplify]: Extracting #3: cost 153 inf + 2 86.140 * * [simplify]: Extracting #4: cost 160 inf + 179 86.141 * * [simplify]: Extracting #5: cost 154 inf + 717 86.144 * * [simplify]: Extracting #6: cost 98 inf + 8531 86.154 * * [simplify]: Extracting #7: cost 43 inf + 37729 86.174 * * [simplify]: Extracting #8: cost 1 inf + 70723 86.197 * * [simplify]: Extracting #9: cost 0 inf + 71671 86.218 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))) 86.218 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 86.218 * * * * [progress]: [ 153 / 188 ] simplifiying candidate # 86.219 * [simplify]: Simplifying (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 86.219 * * [simplify]: iters left: 6 (15 enodes) 86.228 * * [simplify]: iters left: 5 (63 enodes) 86.249 * * [simplify]: iters left: 4 (100 enodes) 86.270 * * [simplify]: iters left: 3 (174 enodes) 86.312 * * [simplify]: iters left: 2 (354 enodes) 86.443 * * [simplify]: Extracting #0: cost 1 inf + 0 86.444 * * [simplify]: Extracting #1: cost 44 inf + 0 86.444 * * [simplify]: Extracting #2: cost 144 inf + 1 86.445 * * [simplify]: Extracting #3: cost 193 inf + 3 86.446 * * [simplify]: Extracting #4: cost 161 inf + 9317 86.458 * * [simplify]: Extracting #5: cost 54 inf + 63414 86.495 * * [simplify]: Extracting #6: cost 1 inf + 93291 86.518 * * [simplify]: Extracting #7: cost 0 inf + 91370 86.536 * * [simplify]: Extracting #8: cost 0 inf + 90977 86.569 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 86.570 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 86.570 * * * * [progress]: [ 154 / 188 ] simplifiying candidate # 86.570 * [simplify]: Simplifying (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 86.570 * * [simplify]: iters left: 6 (15 enodes) 86.580 * * [simplify]: iters left: 5 (63 enodes) 86.599 * * [simplify]: iters left: 4 (100 enodes) 86.632 * * [simplify]: iters left: 3 (174 enodes) 86.689 * * [simplify]: iters left: 2 (354 enodes) 86.848 * * [simplify]: Extracting #0: cost 1 inf + 0 86.849 * * [simplify]: Extracting #1: cost 44 inf + 0 86.854 * * [simplify]: Extracting #2: cost 144 inf + 1 86.856 * * [simplify]: Extracting #3: cost 193 inf + 3 86.859 * * [simplify]: Extracting #4: cost 161 inf + 9397 86.877 * * [simplify]: Extracting #5: cost 54 inf + 63494 86.910 * * [simplify]: Extracting #6: cost 1 inf + 93371 86.946 * * [simplify]: Extracting #7: cost 0 inf + 91450 86.981 * * [simplify]: Extracting #8: cost 0 inf + 91057 87.010 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 87.010 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 87.010 * * * * [progress]: [ 155 / 188 ] simplifiying candidate # 87.010 * [simplify]: Simplifying (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 87.010 * * [simplify]: iters left: 6 (15 enodes) 87.015 * * [simplify]: iters left: 5 (63 enodes) 87.028 * * [simplify]: iters left: 4 (100 enodes) 87.052 * * [simplify]: iters left: 3 (174 enodes) 87.101 * * [simplify]: iters left: 2 (354 enodes) 87.228 * * [simplify]: Extracting #0: cost 1 inf + 0 87.228 * * [simplify]: Extracting #1: cost 44 inf + 0 87.228 * * [simplify]: Extracting #2: cost 144 inf + 1 87.229 * * [simplify]: Extracting #3: cost 193 inf + 3 87.231 * * [simplify]: Extracting #4: cost 161 inf + 8957 87.240 * * [simplify]: Extracting #5: cost 54 inf + 61054 87.257 * * [simplify]: Extracting #6: cost 1 inf + 90131 87.275 * * [simplify]: Extracting #7: cost 0 inf + 88210 87.300 * * [simplify]: Extracting #8: cost 0 inf + 87817 87.336 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 87.336 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 87.336 * * * * [progress]: [ 156 / 188 ] simplifiying candidate # 87.336 * [simplify]: Simplifying (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 87.337 * * [simplify]: iters left: 6 (14 enodes) 87.345 * * [simplify]: iters left: 5 (60 enodes) 87.364 * * [simplify]: iters left: 4 (101 enodes) 87.383 * * [simplify]: iters left: 3 (170 enodes) 87.432 * * [simplify]: iters left: 2 (328 enodes) 87.534 * * [simplify]: Extracting #0: cost 1 inf + 0 87.534 * * [simplify]: Extracting #1: cost 50 inf + 0 87.535 * * [simplify]: Extracting #2: cost 138 inf + 1 87.536 * * [simplify]: Extracting #3: cost 180 inf + 168 87.539 * * [simplify]: Extracting #4: cost 158 inf + 4821 87.553 * * [simplify]: Extracting #5: cost 62 inf + 43441 87.582 * * [simplify]: Extracting #6: cost 0 inf + 80359 87.611 * * [simplify]: Extracting #7: cost 0 inf + 79919 87.629 * * [simplify]: Extracting #8: cost 0 inf + 79759 87.648 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 87.648 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 87.648 * * * * [progress]: [ 157 / 188 ] simplifiying candidate # 87.649 * [simplify]: Simplifying (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 87.649 * * [simplify]: iters left: 6 (15 enodes) 87.657 * * [simplify]: iters left: 5 (63 enodes) 87.668 * * [simplify]: iters left: 4 (100 enodes) 87.687 * * [simplify]: iters left: 3 (174 enodes) 87.730 * * [simplify]: iters left: 2 (354 enodes) 87.884 * * [simplify]: Extracting #0: cost 1 inf + 0 87.884 * * [simplify]: Extracting #1: cost 44 inf + 0 87.884 * * [simplify]: Extracting #2: cost 144 inf + 1 87.885 * * [simplify]: Extracting #3: cost 193 inf + 3 87.887 * * [simplify]: Extracting #4: cost 161 inf + 8957 87.899 * * [simplify]: Extracting #5: cost 54 inf + 61054 87.924 * * [simplify]: Extracting #6: cost 1 inf + 90131 87.945 * * [simplify]: Extracting #7: cost 0 inf + 88210 87.979 * * [simplify]: Extracting #8: cost 0 inf + 87817 88.014 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 88.014 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 88.015 * * * * [progress]: [ 158 / 188 ] simplifiying candidate # 88.015 * [simplify]: Simplifying (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 88.015 * * [simplify]: iters left: 6 (14 enodes) 88.024 * * [simplify]: iters left: 5 (60 enodes) 88.044 * * [simplify]: iters left: 4 (101 enodes) 88.077 * * [simplify]: iters left: 3 (170 enodes) 88.144 * * [simplify]: iters left: 2 (328 enodes) 88.279 * * [simplify]: Extracting #0: cost 1 inf + 0 88.279 * * [simplify]: Extracting #1: cost 50 inf + 0 88.280 * * [simplify]: Extracting #2: cost 138 inf + 1 88.281 * * [simplify]: Extracting #3: cost 180 inf + 168 88.284 * * [simplify]: Extracting #4: cost 158 inf + 4821 88.297 * * [simplify]: Extracting #5: cost 62 inf + 43441 88.325 * * [simplify]: Extracting #6: cost 0 inf + 80359 88.341 * * [simplify]: Extracting #7: cost 0 inf + 79919 88.356 * * [simplify]: Extracting #8: cost 0 inf + 79759 88.371 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 88.371 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 88.371 * * * * [progress]: [ 159 / 188 ] simplifiying candidate # 88.371 * [simplify]: Simplifying (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 88.371 * * [simplify]: iters left: 6 (15 enodes) 88.378 * * [simplify]: iters left: 5 (63 enodes) 88.399 * * [simplify]: iters left: 4 (100 enodes) 88.434 * * [simplify]: iters left: 3 (174 enodes) 88.504 * * [simplify]: iters left: 2 (354 enodes) 88.665 * * [simplify]: Extracting #0: cost 1 inf + 0 88.665 * * [simplify]: Extracting #1: cost 44 inf + 0 88.669 * * [simplify]: Extracting #2: cost 144 inf + 1 88.670 * * [simplify]: Extracting #3: cost 193 inf + 3 88.672 * * [simplify]: Extracting #4: cost 161 inf + 9317 88.716 * * [simplify]: Extracting #5: cost 54 inf + 63414 88.736 * * [simplify]: Extracting #6: cost 1 inf + 93291 88.754 * * [simplify]: Extracting #7: cost 0 inf + 91370 88.774 * * [simplify]: Extracting #8: cost 0 inf + 90977 88.810 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 88.810 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 88.811 * * * * [progress]: [ 160 / 188 ] simplifiying candidate # 88.811 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 88.811 * * [simplify]: iters left: 6 (15 enodes) 88.821 * * [simplify]: iters left: 5 (63 enodes) 88.843 * * [simplify]: iters left: 4 (100 enodes) 88.869 * * [simplify]: iters left: 3 (174 enodes) 88.938 * * [simplify]: iters left: 2 (354 enodes) 89.069 * * [simplify]: Extracting #0: cost 1 inf + 0 89.069 * * [simplify]: Extracting #1: cost 44 inf + 0 89.070 * * [simplify]: Extracting #2: cost 144 inf + 1 89.070 * * [simplify]: Extracting #3: cost 193 inf + 3 89.073 * * [simplify]: Extracting #4: cost 161 inf + 9397 89.092 * * [simplify]: Extracting #5: cost 54 inf + 63494 89.116 * * [simplify]: Extracting #6: cost 1 inf + 93371 89.135 * * [simplify]: Extracting #7: cost 0 inf + 91450 89.171 * * [simplify]: Extracting #8: cost 0 inf + 91057 89.189 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 89.189 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 89.189 * * * * [progress]: [ 161 / 188 ] simplifiying candidate # 89.189 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 89.189 * * [simplify]: iters left: 6 (15 enodes) 89.195 * * [simplify]: iters left: 5 (63 enodes) 89.211 * * [simplify]: iters left: 4 (100 enodes) 89.241 * * [simplify]: iters left: 3 (174 enodes) 89.287 * * [simplify]: iters left: 2 (354 enodes) 89.403 * * [simplify]: Extracting #0: cost 1 inf + 0 89.403 * * [simplify]: Extracting #1: cost 44 inf + 0 89.404 * * [simplify]: Extracting #2: cost 144 inf + 1 89.404 * * [simplify]: Extracting #3: cost 193 inf + 3 89.406 * * [simplify]: Extracting #4: cost 161 inf + 8957 89.417 * * [simplify]: Extracting #5: cost 54 inf + 61054 89.451 * * [simplify]: Extracting #6: cost 1 inf + 90131 89.481 * * [simplify]: Extracting #7: cost 0 inf + 88210 89.499 * * [simplify]: Extracting #8: cost 0 inf + 87817 89.535 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 89.535 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 89.536 * * * * [progress]: [ 162 / 188 ] simplifiying candidate # 89.536 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 89.536 * * [simplify]: iters left: 6 (14 enodes) 89.544 * * [simplify]: iters left: 5 (60 enodes) 89.563 * * [simplify]: iters left: 4 (101 enodes) 89.596 * * [simplify]: iters left: 3 (170 enodes) 89.638 * * [simplify]: iters left: 2 (328 enodes) 89.769 * * [simplify]: Extracting #0: cost 1 inf + 0 89.769 * * [simplify]: Extracting #1: cost 50 inf + 0 89.770 * * [simplify]: Extracting #2: cost 138 inf + 1 89.771 * * [simplify]: Extracting #3: cost 180 inf + 168 89.772 * * [simplify]: Extracting #4: cost 158 inf + 4821 89.779 * * [simplify]: Extracting #5: cost 62 inf + 43441 89.801 * * [simplify]: Extracting #6: cost 0 inf + 80359 89.816 * * [simplify]: Extracting #7: cost 0 inf + 79919 89.836 * * [simplify]: Extracting #8: cost 0 inf + 79759 89.858 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 89.858 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt 1)) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 89.858 * * * * [progress]: [ 163 / 188 ] simplifiying candidate # 89.858 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 89.859 * * [simplify]: iters left: 6 (15 enodes) 89.864 * * [simplify]: iters left: 5 (63 enodes) 89.875 * * [simplify]: iters left: 4 (100 enodes) 89.905 * * [simplify]: iters left: 3 (174 enodes) 89.960 * * [simplify]: iters left: 2 (354 enodes) 90.109 * * [simplify]: Extracting #0: cost 1 inf + 0 90.109 * * [simplify]: Extracting #1: cost 44 inf + 0 90.110 * * [simplify]: Extracting #2: cost 144 inf + 1 90.112 * * [simplify]: Extracting #3: cost 193 inf + 3 90.120 * * [simplify]: Extracting #4: cost 161 inf + 8957 90.139 * * [simplify]: Extracting #5: cost 54 inf + 61054 90.173 * * [simplify]: Extracting #6: cost 1 inf + 90131 90.210 * * [simplify]: Extracting #7: cost 0 inf + 88210 90.246 * * [simplify]: Extracting #8: cost 0 inf + 87817 90.281 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 90.281 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 90.282 * * * * [progress]: [ 164 / 188 ] simplifiying candidate # 90.282 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 90.282 * * [simplify]: iters left: 6 (14 enodes) 90.291 * * [simplify]: iters left: 5 (60 enodes) 90.313 * * [simplify]: iters left: 4 (101 enodes) 90.346 * * [simplify]: iters left: 3 (170 enodes) 90.412 * * [simplify]: iters left: 2 (328 enodes) 90.525 * * [simplify]: Extracting #0: cost 1 inf + 0 90.525 * * [simplify]: Extracting #1: cost 50 inf + 0 90.526 * * [simplify]: Extracting #2: cost 138 inf + 1 90.527 * * [simplify]: Extracting #3: cost 180 inf + 168 90.530 * * [simplify]: Extracting #4: cost 158 inf + 4821 90.543 * * [simplify]: Extracting #5: cost 62 inf + 43441 90.574 * * [simplify]: Extracting #6: cost 0 inf + 80359 90.604 * * [simplify]: Extracting #7: cost 0 inf + 79919 90.619 * * [simplify]: Extracting #8: cost 0 inf + 79759 90.635 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 90.635 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) 1) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 90.635 * * * * [progress]: [ 165 / 188 ] simplifiying candidate # 90.635 * [simplify]: Simplifying (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 90.635 * * [simplify]: iters left: 6 (14 enodes) 90.639 * * [simplify]: iters left: 5 (60 enodes) 90.652 * * [simplify]: iters left: 4 (103 enodes) 90.670 * * [simplify]: iters left: 3 (176 enodes) 90.719 * * [simplify]: iters left: 2 (337 enodes) 90.869 * * [simplify]: Extracting #0: cost 1 inf + 0 90.869 * * [simplify]: Extracting #1: cost 44 inf + 0 90.870 * * [simplify]: Extracting #2: cost 139 inf + 1 90.870 * * [simplify]: Extracting #3: cost 188 inf + 3 90.871 * * [simplify]: Extracting #4: cost 172 inf + 3232 90.875 * * [simplify]: Extracting #5: cost 107 inf + 19511 90.888 * * [simplify]: Extracting #6: cost 10 inf + 88222 90.911 * * [simplify]: Extracting #7: cost 0 inf + 95266 90.925 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 90.925 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 90.925 * * * * [progress]: [ 166 / 188 ] simplifiying candidate # 90.925 * [simplify]: Simplifying (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 90.925 * * [simplify]: iters left: 6 (14 enodes) 90.932 * * [simplify]: iters left: 5 (60 enodes) 90.950 * * [simplify]: iters left: 4 (103 enodes) 90.974 * * [simplify]: iters left: 3 (176 enodes) 91.025 * * [simplify]: iters left: 2 (337 enodes) 91.142 * * [simplify]: Extracting #0: cost 1 inf + 0 91.143 * * [simplify]: Extracting #1: cost 44 inf + 0 91.143 * * [simplify]: Extracting #2: cost 139 inf + 1 91.144 * * [simplify]: Extracting #3: cost 188 inf + 3 91.145 * * [simplify]: Extracting #4: cost 172 inf + 3272 91.148 * * [simplify]: Extracting #5: cost 107 inf + 19591 91.158 * * [simplify]: Extracting #6: cost 10 inf + 88302 91.172 * * [simplify]: Extracting #7: cost 0 inf + 95346 91.188 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 91.188 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 91.188 * * * * [progress]: [ 167 / 188 ] simplifiying candidate # 91.189 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 91.189 * * [simplify]: iters left: 6 (14 enodes) 91.195 * * [simplify]: iters left: 5 (60 enodes) 91.214 * * [simplify]: iters left: 4 (103 enodes) 91.232 * * [simplify]: iters left: 3 (176 enodes) 91.276 * * [simplify]: iters left: 2 (337 enodes) 91.415 * * [simplify]: Extracting #0: cost 1 inf + 0 91.416 * * [simplify]: Extracting #1: cost 44 inf + 0 91.416 * * [simplify]: Extracting #2: cost 139 inf + 1 91.417 * * [simplify]: Extracting #3: cost 188 inf + 3 91.418 * * [simplify]: Extracting #4: cost 172 inf + 3032 91.421 * * [simplify]: Extracting #5: cost 107 inf + 18951 91.431 * * [simplify]: Extracting #6: cost 10 inf + 85422 91.449 * * [simplify]: Extracting #7: cost 0 inf + 92226 91.466 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 91.466 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 91.466 * * * * [progress]: [ 168 / 188 ] simplifiying candidate # 91.466 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 91.466 * * [simplify]: iters left: 6 (13 enodes) 91.474 * * [simplify]: iters left: 5 (57 enodes) 91.493 * * [simplify]: iters left: 4 (96 enodes) 91.525 * * [simplify]: iters left: 3 (174 enodes) 91.581 * * [simplify]: iters left: 2 (354 enodes) 91.735 * * [simplify]: Extracting #0: cost 1 inf + 0 91.736 * * [simplify]: Extracting #1: cost 44 inf + 0 91.736 * * [simplify]: Extracting #2: cost 135 inf + 1 91.738 * * [simplify]: Extracting #3: cost 177 inf + 127 91.740 * * [simplify]: Extracting #4: cost 178 inf + 510 91.744 * * [simplify]: Extracting #5: cost 126 inf + 15028 91.772 * * [simplify]: Extracting #6: cost 23 inf + 73197 91.802 * * [simplify]: Extracting #7: cost 0 inf + 85838 91.832 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 91.832 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 91.832 * * * * [progress]: [ 169 / 188 ] simplifiying candidate # 91.833 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 91.833 * * [simplify]: iters left: 6 (14 enodes) 91.841 * * [simplify]: iters left: 5 (60 enodes) 91.861 * * [simplify]: iters left: 4 (103 enodes) 91.886 * * [simplify]: iters left: 3 (176 enodes) 91.946 * * [simplify]: iters left: 2 (337 enodes) 92.089 * * [simplify]: Extracting #0: cost 1 inf + 0 92.089 * * [simplify]: Extracting #1: cost 44 inf + 0 92.089 * * [simplify]: Extracting #2: cost 139 inf + 1 92.091 * * [simplify]: Extracting #3: cost 188 inf + 3 92.095 * * [simplify]: Extracting #4: cost 172 inf + 3032 92.102 * * [simplify]: Extracting #5: cost 107 inf + 18951 92.123 * * [simplify]: Extracting #6: cost 10 inf + 85422 92.139 * * [simplify]: Extracting #7: cost 0 inf + 92226 92.153 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 92.153 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 92.153 * * * * [progress]: [ 170 / 188 ] simplifiying candidate # 92.153 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 92.153 * * [simplify]: iters left: 6 (13 enodes) 92.157 * * [simplify]: iters left: 5 (57 enodes) 92.167 * * [simplify]: iters left: 4 (96 enodes) 92.185 * * [simplify]: iters left: 3 (174 enodes) 92.239 * * [simplify]: iters left: 2 (354 enodes) 92.421 * * [simplify]: Extracting #0: cost 1 inf + 0 92.421 * * [simplify]: Extracting #1: cost 44 inf + 0 92.422 * * [simplify]: Extracting #2: cost 135 inf + 1 92.422 * * [simplify]: Extracting #3: cost 177 inf + 127 92.423 * * [simplify]: Extracting #4: cost 178 inf + 510 92.425 * * [simplify]: Extracting #5: cost 126 inf + 15028 92.437 * * [simplify]: Extracting #6: cost 23 inf + 73197 92.452 * * [simplify]: Extracting #7: cost 0 inf + 85838 92.467 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 92.467 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 92.468 * * * * [progress]: [ 171 / 188 ] simplifiying candidate # 92.468 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 92.468 * * [simplify]: iters left: 6 (13 enodes) 92.472 * * [simplify]: iters left: 5 (57 enodes) 92.489 * * [simplify]: iters left: 4 (96 enodes) 92.525 * * [simplify]: iters left: 3 (174 enodes) 92.576 * * [simplify]: iters left: 2 (354 enodes) 92.738 * * [simplify]: Extracting #0: cost 1 inf + 0 92.738 * * [simplify]: Extracting #1: cost 44 inf + 0 92.739 * * [simplify]: Extracting #2: cost 135 inf + 1 92.739 * * [simplify]: Extracting #3: cost 177 inf + 127 92.741 * * [simplify]: Extracting #4: cost 178 inf + 510 92.743 * * [simplify]: Extracting #5: cost 126 inf + 15028 92.754 * * [simplify]: Extracting #6: cost 23 inf + 73197 92.784 * * [simplify]: Extracting #7: cost 0 inf + 85838 92.798 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 92.799 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 92.799 * * * * [progress]: [ 172 / 188 ] simplifiying candidate # 92.799 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 92.799 * * [simplify]: iters left: 6 (13 enodes) 92.803 * * [simplify]: iters left: 5 (57 enodes) 92.822 * * [simplify]: iters left: 4 (96 enodes) 92.856 * * [simplify]: iters left: 3 (174 enodes) 92.906 * * [simplify]: iters left: 2 (354 enodes) 93.069 * * [simplify]: Extracting #0: cost 1 inf + 0 93.070 * * [simplify]: Extracting #1: cost 44 inf + 0 93.071 * * [simplify]: Extracting #2: cost 135 inf + 1 93.072 * * [simplify]: Extracting #3: cost 177 inf + 127 93.074 * * [simplify]: Extracting #4: cost 178 inf + 510 93.078 * * [simplify]: Extracting #5: cost 126 inf + 15028 93.102 * * [simplify]: Extracting #6: cost 23 inf + 73197 93.132 * * [simplify]: Extracting #7: cost 0 inf + 85838 93.159 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 93.159 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 93.159 * * * * [progress]: [ 173 / 188 ] simplifiying candidate # 93.160 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) 93.160 * * [simplify]: iters left: 6 (12 enodes) 93.163 * * [simplify]: iters left: 5 (49 enodes) 93.173 * * [simplify]: iters left: 4 (85 enodes) 93.202 * * [simplify]: iters left: 3 (161 enodes) 93.281 * * [simplify]: iters left: 2 (320 enodes) 93.459 * * [simplify]: Extracting #0: cost 1 inf + 0 93.459 * * [simplify]: Extracting #1: cost 32 inf + 0 93.460 * * [simplify]: Extracting #2: cost 104 inf + 1 93.461 * * [simplify]: Extracting #3: cost 101 inf + 255 93.462 * * [simplify]: Extracting #4: cost 97 inf + 385 93.466 * * [simplify]: Extracting #5: cost 57 inf + 17045 93.478 * * [simplify]: Extracting #6: cost 3 inf + 51073 93.491 * * [simplify]: Extracting #7: cost 0 inf + 53093 93.504 * [simplify]: Simplified to (/ (sqrt (* n (* 2 PI))) (sqrt k)) 93.504 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* n (* 2 PI))) (sqrt k)) (pow (* (* 2 PI) n) (/ k 2)))) 93.504 * * * * [progress]: [ 174 / 188 ] simplifiying candidate # 93.504 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 93.504 * * [simplify]: iters left: 6 (11 enodes) 93.508 * * [simplify]: iters left: 5 (47 enodes) 93.516 * * [simplify]: iters left: 4 (82 enodes) 93.530 * * [simplify]: iters left: 3 (130 enodes) 93.560 * * [simplify]: iters left: 2 (241 enodes) 93.644 * * [simplify]: iters left: 1 (462 enodes) 93.903 * * [simplify]: Extracting #0: cost 1 inf + 0 93.903 * * [simplify]: Extracting #1: cost 27 inf + 0 93.903 * * [simplify]: Extracting #2: cost 118 inf + 2 93.904 * * [simplify]: Extracting #3: cost 171 inf + 176 93.905 * * [simplify]: Extracting #4: cost 172 inf + 393 93.906 * * [simplify]: Extracting #5: cost 121 inf + 6309 93.911 * * [simplify]: Extracting #6: cost 44 inf + 32873 93.930 * * [simplify]: Extracting #7: cost 2 inf + 71857 93.965 * * [simplify]: Extracting #8: cost 0 inf + 71377 93.994 * * [simplify]: Extracting #9: cost 0 inf + 69693 94.023 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/2 (- 1 k))) 94.023 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1/2 (- 1 k))) (sqrt k))) 94.023 * * * * [progress]: [ 175 / 188 ] simplifiying candidate #real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 94.023 * [simplify]: Simplifying (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 94.024 * * [simplify]: iters left: 6 (14 enodes) 94.028 * * [simplify]: iters left: 5 (57 enodes) 94.038 * * [simplify]: iters left: 4 (100 enodes) 94.058 * * [simplify]: iters left: 3 (173 enodes) 94.106 * * [simplify]: iters left: 2 (337 enodes) 94.232 * * [simplify]: Extracting #0: cost 1 inf + 0 94.232 * * [simplify]: Extracting #1: cost 2 inf + 0 94.233 * * [simplify]: Extracting #2: cost 45 inf + 0 94.234 * * [simplify]: Extracting #3: cost 139 inf + 1 94.235 * * [simplify]: Extracting #4: cost 181 inf + 127 94.237 * * [simplify]: Extracting #5: cost 167 inf + 4325 94.254 * * [simplify]: Extracting #6: cost 79 inf + 38449 94.281 * * [simplify]: Extracting #7: cost 6 inf + 86744 94.309 * * [simplify]: Extracting #8: cost 0 inf + 88301 94.334 * * [simplify]: Extracting #9: cost 0 inf + 87810 94.348 * [simplify]: Simplified to (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 94.348 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 94.348 * * * * [progress]: [ 176 / 188 ] simplifiying candidate # 94.348 * * * * [progress]: [ 177 / 188 ] simplifiying candidate # 94.349 * [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))))) 94.349 * * [simplify]: iters left: 6 (37 enodes) 94.369 * * [simplify]: iters left: 5 (187 enodes) 94.444 * * [simplify]: iters left: 4 (488 enodes) 94.686 * * [simplify]: Extracting #0: cost 1 inf + 0 94.687 * * [simplify]: Extracting #1: cost 57 inf + 0 94.688 * * [simplify]: Extracting #2: cost 294 inf + 0 94.691 * * [simplify]: Extracting #3: cost 529 inf + 199 94.697 * * [simplify]: Extracting #4: cost 521 inf + 5092 94.728 * * [simplify]: Extracting #5: cost 310 inf + 81150 94.783 * * [simplify]: Extracting #6: cost 37 inf + 225232 94.868 * * [simplify]: Extracting #7: cost 0 inf + 247600 94.945 * * [simplify]: Extracting #8: cost 0 inf + 245527 95.044 * * [simplify]: Extracting #9: cost 0 inf + 245486 95.115 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k (log n)) (* k 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 95.115 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k (log n)) (* k 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))))) 95.116 * * * * [progress]: [ 178 / 188 ] simplifiying candidate # 95.116 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 95.116 * * [simplify]: iters left: 6 (15 enodes) 95.123 * * [simplify]: iters left: 5 (65 enodes) 95.135 * * [simplify]: iters left: 4 (123 enodes) 95.172 * * [simplify]: iters left: 3 (362 enodes) 95.337 * * [simplify]: Extracting #0: cost 1 inf + 0 95.337 * * [simplify]: Extracting #1: cost 37 inf + 0 95.337 * * [simplify]: Extracting #2: cost 214 inf + 1 95.338 * * [simplify]: Extracting #3: cost 359 inf + 976 95.342 * * [simplify]: Extracting #4: cost 248 inf + 22396 95.353 * * [simplify]: Extracting #5: cost 36 inf + 77801 95.373 * * [simplify]: Extracting #6: cost 1 inf + 88796 95.389 * * [simplify]: Extracting #7: cost 0 inf + 89336 95.414 * * [simplify]: Extracting #8: cost 0 inf + 89253 95.433 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 95.433 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))) 95.433 * * * * [progress]: [ 179 / 188 ] simplifiying candidate # 95.434 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 95.434 * * [simplify]: iters left: 6 (16 enodes) 95.439 * * [simplify]: iters left: 5 (67 enodes) 95.455 * * [simplify]: iters left: 4 (134 enodes) 95.486 * * [simplify]: iters left: 3 (407 enodes) 95.668 * * [simplify]: Extracting #0: cost 1 inf + 0 95.668 * * [simplify]: Extracting #1: cost 39 inf + 0 95.669 * * [simplify]: Extracting #2: cost 241 inf + 72 95.678 * * [simplify]: Extracting #3: cost 449 inf + 888 95.689 * * [simplify]: Extracting #4: cost 283 inf + 39118 95.725 * * [simplify]: Extracting #5: cost 24 inf + 116222 95.762 * * [simplify]: Extracting #6: cost 0 inf + 121984 95.784 * * [simplify]: Extracting #7: cost 0 inf + 121983 95.821 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 95.822 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))))) 95.822 * * * * [progress]: [ 180 / 188 ] simplifiying candidate # 95.822 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 95.822 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 95.822 * * * * [progress]: [ 181 / 188 ] simplifiying candidate # 95.822 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 95.822 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 95.822 * * * * [progress]: [ 182 / 188 ] simplifiying candidate # 95.822 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 95.822 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 95.822 * * * * [progress]: [ 183 / 188 ] simplifiying candidate # 95.823 * [simplify]: Simplifying (* 2 (* n PI)) 95.823 * * [simplify]: iters left: 4 (5 enodes) 95.825 * * [simplify]: iters left: 3 (19 enodes) 95.828 * * [simplify]: iters left: 2 (27 enodes) 95.832 * * [simplify]: iters left: 1 (32 enodes) 95.836 * * [simplify]: Extracting #0: cost 1 inf + 0 95.836 * * [simplify]: Extracting #1: cost 8 inf + 0 95.836 * * [simplify]: Extracting #2: cost 7 inf + 45 95.836 * * [simplify]: Extracting #3: cost 0 inf + 421 95.836 * [simplify]: Simplified to (* (* PI n) 2) 95.837 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 95.837 * * * * [progress]: [ 184 / 188 ] simplifiying candidate # 95.837 * [simplify]: Simplifying (* 2 (* n PI)) 95.837 * * [simplify]: iters left: 4 (5 enodes) 95.838 * * [simplify]: iters left: 3 (19 enodes) 95.841 * * [simplify]: iters left: 2 (27 enodes) 95.845 * * [simplify]: iters left: 1 (32 enodes) 95.849 * * [simplify]: Extracting #0: cost 1 inf + 0 95.849 * * [simplify]: Extracting #1: cost 8 inf + 0 95.849 * * [simplify]: Extracting #2: cost 7 inf + 45 95.849 * * [simplify]: Extracting #3: cost 0 inf + 421 95.850 * [simplify]: Simplified to (* (* PI n) 2) 95.850 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 95.850 * * * * [progress]: [ 185 / 188 ] simplifiying candidate # 95.850 * [simplify]: Simplifying (* 2 (* n PI)) 95.850 * * [simplify]: iters left: 4 (5 enodes) 95.852 * * [simplify]: iters left: 3 (19 enodes) 95.858 * * [simplify]: iters left: 2 (27 enodes) 95.862 * * [simplify]: iters left: 1 (32 enodes) 95.867 * * [simplify]: Extracting #0: cost 1 inf + 0 95.867 * * [simplify]: Extracting #1: cost 8 inf + 0 95.867 * * [simplify]: Extracting #2: cost 7 inf + 45 95.867 * * [simplify]: Extracting #3: cost 0 inf + 421 95.867 * [simplify]: Simplified to (* (* PI n) 2) 95.867 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 95.867 * * * * [progress]: [ 186 / 188 ] simplifiying candidate # 95.867 * [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))))))))))))) 95.867 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 95.868 * * * * [progress]: [ 187 / 188 ] simplifiying candidate # 95.868 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 95.868 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 95.868 * * * * [progress]: [ 188 / 188 ] simplifiying candidate # 95.868 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 95.868 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 95.868 * * * [progress]: adding candidates to table 97.770 * * [progress]: iteration 3 / 4 97.770 * * * [progress]: picking best candidate 97.792 * * * * [pick]: Picked # 97.792 * * * [progress]: localizing error 97.851 * * * [progress]: generating rewritten candidates 97.851 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 97.878 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 97.903 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 97.920 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 97.964 * * * [progress]: generating series expansions 97.964 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 97.965 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 97.965 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 97.965 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 97.965 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 97.965 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 97.965 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 97.965 * [taylor]: Taking taylor expansion of 1/2 in k 97.965 * [backup-simplify]: Simplify 1/2 into 1/2 97.965 * [taylor]: Taking taylor expansion of (- 1 k) in k 97.965 * [taylor]: Taking taylor expansion of 1 in k 97.965 * [backup-simplify]: Simplify 1 into 1 97.966 * [taylor]: Taking taylor expansion of k in k 97.966 * [backup-simplify]: Simplify 0 into 0 97.966 * [backup-simplify]: Simplify 1 into 1 97.966 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 97.966 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 97.966 * [taylor]: Taking taylor expansion of 2 in k 97.966 * [backup-simplify]: Simplify 2 into 2 97.966 * [taylor]: Taking taylor expansion of (* n PI) in k 97.966 * [taylor]: Taking taylor expansion of n in k 97.966 * [backup-simplify]: Simplify n into n 97.966 * [taylor]: Taking taylor expansion of PI in k 97.966 * [backup-simplify]: Simplify PI into PI 97.966 * [backup-simplify]: Simplify (* n PI) into (* n PI) 97.966 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 97.966 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 97.967 * [backup-simplify]: Simplify (- 0) into 0 97.967 * [backup-simplify]: Simplify (+ 1 0) into 1 97.968 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 97.968 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 97.968 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 97.968 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 97.968 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 97.968 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 97.968 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 97.968 * [taylor]: Taking taylor expansion of 1/2 in n 97.968 * [backup-simplify]: Simplify 1/2 into 1/2 97.968 * [taylor]: Taking taylor expansion of (- 1 k) in n 97.968 * [taylor]: Taking taylor expansion of 1 in n 97.968 * [backup-simplify]: Simplify 1 into 1 97.968 * [taylor]: Taking taylor expansion of k in n 97.968 * [backup-simplify]: Simplify k into k 97.968 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 97.968 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 97.968 * [taylor]: Taking taylor expansion of 2 in n 97.968 * [backup-simplify]: Simplify 2 into 2 97.968 * [taylor]: Taking taylor expansion of (* n PI) in n 97.968 * [taylor]: Taking taylor expansion of n in n 97.968 * [backup-simplify]: Simplify 0 into 0 97.968 * [backup-simplify]: Simplify 1 into 1 97.968 * [taylor]: Taking taylor expansion of PI in n 97.968 * [backup-simplify]: Simplify PI into PI 97.969 * [backup-simplify]: Simplify (* 0 PI) into 0 97.969 * [backup-simplify]: Simplify (* 2 0) into 0 97.971 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 97.972 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 97.973 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 97.973 * [backup-simplify]: Simplify (- k) into (- k) 97.973 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 97.973 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 97.975 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 97.976 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 97.977 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 97.977 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 97.977 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 97.977 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 97.977 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 97.977 * [taylor]: Taking taylor expansion of 1/2 in n 97.977 * [backup-simplify]: Simplify 1/2 into 1/2 97.977 * [taylor]: Taking taylor expansion of (- 1 k) in n 97.977 * [taylor]: Taking taylor expansion of 1 in n 97.977 * [backup-simplify]: Simplify 1 into 1 97.977 * [taylor]: Taking taylor expansion of k in n 97.977 * [backup-simplify]: Simplify k into k 97.977 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 97.977 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 97.977 * [taylor]: Taking taylor expansion of 2 in n 97.977 * [backup-simplify]: Simplify 2 into 2 97.977 * [taylor]: Taking taylor expansion of (* n PI) in n 97.977 * [taylor]: Taking taylor expansion of n in n 97.977 * [backup-simplify]: Simplify 0 into 0 97.977 * [backup-simplify]: Simplify 1 into 1 97.977 * [taylor]: Taking taylor expansion of PI in n 97.977 * [backup-simplify]: Simplify PI into PI 97.978 * [backup-simplify]: Simplify (* 0 PI) into 0 97.978 * [backup-simplify]: Simplify (* 2 0) into 0 97.980 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 97.981 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 97.982 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 97.982 * [backup-simplify]: Simplify (- k) into (- k) 97.982 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 97.982 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 97.984 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 97.985 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 97.986 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 97.986 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 97.986 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 97.986 * [taylor]: Taking taylor expansion of 1/2 in k 97.986 * [backup-simplify]: Simplify 1/2 into 1/2 97.986 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 97.986 * [taylor]: Taking taylor expansion of (- 1 k) in k 97.986 * [taylor]: Taking taylor expansion of 1 in k 97.986 * [backup-simplify]: Simplify 1 into 1 97.986 * [taylor]: Taking taylor expansion of k in k 97.986 * [backup-simplify]: Simplify 0 into 0 97.986 * [backup-simplify]: Simplify 1 into 1 97.986 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 97.986 * [taylor]: Taking taylor expansion of (log n) in k 97.986 * [taylor]: Taking taylor expansion of n in k 97.986 * [backup-simplify]: Simplify n into n 97.986 * [backup-simplify]: Simplify (log n) into (log n) 97.986 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 97.986 * [taylor]: Taking taylor expansion of (* 2 PI) in k 97.986 * [taylor]: Taking taylor expansion of 2 in k 97.987 * [backup-simplify]: Simplify 2 into 2 97.987 * [taylor]: Taking taylor expansion of PI in k 97.987 * [backup-simplify]: Simplify PI into PI 97.987 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 97.988 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 97.989 * [backup-simplify]: Simplify (- 0) into 0 97.989 * [backup-simplify]: Simplify (+ 1 0) into 1 97.990 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 97.991 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 97.992 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 97.993 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 97.994 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 97.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 97.996 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 97.998 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 97.998 * [backup-simplify]: Simplify (- 0) into 0 97.999 * [backup-simplify]: Simplify (+ 0 0) into 0 97.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 98.001 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 98.002 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 98.004 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 98.004 * [taylor]: Taking taylor expansion of 0 in k 98.004 * [backup-simplify]: Simplify 0 into 0 98.004 * [backup-simplify]: Simplify 0 into 0 98.005 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 98.005 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 98.008 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 98.008 * [backup-simplify]: Simplify (+ 0 0) into 0 98.008 * [backup-simplify]: Simplify (- 1) into -1 98.009 * [backup-simplify]: Simplify (+ 0 -1) into -1 98.010 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 98.012 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 98.015 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 98.018 * [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))))))) 98.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 98.020 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 98.024 * [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 98.024 * [backup-simplify]: Simplify (- 0) into 0 98.024 * [backup-simplify]: Simplify (+ 0 0) into 0 98.025 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 98.034 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 98.035 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 98.038 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 98.038 * [taylor]: Taking taylor expansion of 0 in k 98.038 * [backup-simplify]: Simplify 0 into 0 98.038 * [backup-simplify]: Simplify 0 into 0 98.038 * [backup-simplify]: Simplify 0 into 0 98.040 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 98.041 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 98.044 * [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 98.044 * [backup-simplify]: Simplify (+ 0 0) into 0 98.045 * [backup-simplify]: Simplify (- 0) into 0 98.045 * [backup-simplify]: Simplify (+ 0 0) into 0 98.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 98.050 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 98.053 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 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))))) 98.058 * [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))))) 98.067 * [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))))) 98.067 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 98.067 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 98.067 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 98.067 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 98.067 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 98.067 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 98.068 * [taylor]: Taking taylor expansion of 1/2 in k 98.068 * [backup-simplify]: Simplify 1/2 into 1/2 98.068 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 98.068 * [taylor]: Taking taylor expansion of 1 in k 98.068 * [backup-simplify]: Simplify 1 into 1 98.068 * [taylor]: Taking taylor expansion of (/ 1 k) in k 98.068 * [taylor]: Taking taylor expansion of k in k 98.068 * [backup-simplify]: Simplify 0 into 0 98.068 * [backup-simplify]: Simplify 1 into 1 98.068 * [backup-simplify]: Simplify (/ 1 1) into 1 98.068 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 98.068 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 98.068 * [taylor]: Taking taylor expansion of 2 in k 98.068 * [backup-simplify]: Simplify 2 into 2 98.068 * [taylor]: Taking taylor expansion of (/ PI n) in k 98.068 * [taylor]: Taking taylor expansion of PI in k 98.068 * [backup-simplify]: Simplify PI into PI 98.068 * [taylor]: Taking taylor expansion of n in k 98.068 * [backup-simplify]: Simplify n into n 98.068 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 98.069 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 98.069 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 98.069 * [backup-simplify]: Simplify (- 1) into -1 98.069 * [backup-simplify]: Simplify (+ 0 -1) into -1 98.070 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 98.070 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 98.070 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 98.070 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 98.070 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 98.070 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 98.070 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 98.070 * [taylor]: Taking taylor expansion of 1/2 in n 98.070 * [backup-simplify]: Simplify 1/2 into 1/2 98.070 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 98.070 * [taylor]: Taking taylor expansion of 1 in n 98.071 * [backup-simplify]: Simplify 1 into 1 98.071 * [taylor]: Taking taylor expansion of (/ 1 k) in n 98.071 * [taylor]: Taking taylor expansion of k in n 98.071 * [backup-simplify]: Simplify k into k 98.071 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 98.071 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 98.071 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 98.071 * [taylor]: Taking taylor expansion of 2 in n 98.071 * [backup-simplify]: Simplify 2 into 2 98.071 * [taylor]: Taking taylor expansion of (/ PI n) in n 98.071 * [taylor]: Taking taylor expansion of PI in n 98.071 * [backup-simplify]: Simplify PI into PI 98.071 * [taylor]: Taking taylor expansion of n in n 98.071 * [backup-simplify]: Simplify 0 into 0 98.071 * [backup-simplify]: Simplify 1 into 1 98.071 * [backup-simplify]: Simplify (/ PI 1) into PI 98.072 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 98.073 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 98.073 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 98.073 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 98.073 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 98.074 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 98.075 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 98.077 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 98.077 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 98.077 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 98.077 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 98.077 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 98.077 * [taylor]: Taking taylor expansion of 1/2 in n 98.077 * [backup-simplify]: Simplify 1/2 into 1/2 98.077 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 98.077 * [taylor]: Taking taylor expansion of 1 in n 98.077 * [backup-simplify]: Simplify 1 into 1 98.077 * [taylor]: Taking taylor expansion of (/ 1 k) in n 98.077 * [taylor]: Taking taylor expansion of k in n 98.077 * [backup-simplify]: Simplify k into k 98.077 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 98.077 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 98.077 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 98.077 * [taylor]: Taking taylor expansion of 2 in n 98.077 * [backup-simplify]: Simplify 2 into 2 98.077 * [taylor]: Taking taylor expansion of (/ PI n) in n 98.077 * [taylor]: Taking taylor expansion of PI in n 98.077 * [backup-simplify]: Simplify PI into PI 98.077 * [taylor]: Taking taylor expansion of n in n 98.077 * [backup-simplify]: Simplify 0 into 0 98.077 * [backup-simplify]: Simplify 1 into 1 98.078 * [backup-simplify]: Simplify (/ PI 1) into PI 98.078 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 98.079 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 98.079 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 98.079 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 98.079 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 98.081 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 98.082 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 98.083 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 98.083 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 98.083 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 98.083 * [taylor]: Taking taylor expansion of 1/2 in k 98.083 * [backup-simplify]: Simplify 1/2 into 1/2 98.083 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 98.083 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 98.083 * [taylor]: Taking taylor expansion of 1 in k 98.083 * [backup-simplify]: Simplify 1 into 1 98.084 * [taylor]: Taking taylor expansion of (/ 1 k) in k 98.084 * [taylor]: Taking taylor expansion of k in k 98.084 * [backup-simplify]: Simplify 0 into 0 98.084 * [backup-simplify]: Simplify 1 into 1 98.084 * [backup-simplify]: Simplify (/ 1 1) into 1 98.084 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 98.084 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 98.084 * [taylor]: Taking taylor expansion of (* 2 PI) in k 98.084 * [taylor]: Taking taylor expansion of 2 in k 98.084 * [backup-simplify]: Simplify 2 into 2 98.084 * [taylor]: Taking taylor expansion of PI in k 98.084 * [backup-simplify]: Simplify PI into PI 98.085 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 98.086 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 98.086 * [taylor]: Taking taylor expansion of (log n) in k 98.086 * [taylor]: Taking taylor expansion of n in k 98.086 * [backup-simplify]: Simplify n into n 98.086 * [backup-simplify]: Simplify (log n) into (log n) 98.086 * [backup-simplify]: Simplify (- 1) into -1 98.087 * [backup-simplify]: Simplify (+ 0 -1) into -1 98.087 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 98.088 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 98.089 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 98.090 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 98.091 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 98.092 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 98.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 98.093 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 98.095 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 98.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 98.095 * [backup-simplify]: Simplify (- 0) into 0 98.095 * [backup-simplify]: Simplify (+ 0 0) into 0 98.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 98.097 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 98.097 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 98.099 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 98.099 * [taylor]: Taking taylor expansion of 0 in k 98.099 * [backup-simplify]: Simplify 0 into 0 98.099 * [backup-simplify]: Simplify 0 into 0 98.099 * [backup-simplify]: Simplify 0 into 0 98.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.100 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 98.102 * [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 98.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 98.102 * [backup-simplify]: Simplify (- 0) into 0 98.102 * [backup-simplify]: Simplify (+ 0 0) into 0 98.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 98.104 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 98.104 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 98.106 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 98.106 * [taylor]: Taking taylor expansion of 0 in k 98.106 * [backup-simplify]: Simplify 0 into 0 98.106 * [backup-simplify]: Simplify 0 into 0 98.106 * [backup-simplify]: Simplify 0 into 0 98.106 * [backup-simplify]: Simplify 0 into 0 98.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.107 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 98.110 * [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 98.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 98.111 * [backup-simplify]: Simplify (- 0) into 0 98.111 * [backup-simplify]: Simplify (+ 0 0) into 0 98.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 98.113 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 98.114 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 98.115 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 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 98.115 * [taylor]: Taking taylor expansion of 0 in k 98.115 * [backup-simplify]: Simplify 0 into 0 98.115 * [backup-simplify]: Simplify 0 into 0 98.116 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 98.116 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 98.116 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 98.117 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 98.117 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 98.117 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 98.117 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 98.117 * [taylor]: Taking taylor expansion of 1/2 in k 98.117 * [backup-simplify]: Simplify 1/2 into 1/2 98.117 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 98.117 * [taylor]: Taking taylor expansion of (/ 1 k) in k 98.117 * [taylor]: Taking taylor expansion of k in k 98.117 * [backup-simplify]: Simplify 0 into 0 98.117 * [backup-simplify]: Simplify 1 into 1 98.117 * [backup-simplify]: Simplify (/ 1 1) into 1 98.117 * [taylor]: Taking taylor expansion of 1 in k 98.117 * [backup-simplify]: Simplify 1 into 1 98.117 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 98.117 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 98.117 * [taylor]: Taking taylor expansion of -2 in k 98.117 * [backup-simplify]: Simplify -2 into -2 98.117 * [taylor]: Taking taylor expansion of (/ PI n) in k 98.117 * [taylor]: Taking taylor expansion of PI in k 98.117 * [backup-simplify]: Simplify PI into PI 98.117 * [taylor]: Taking taylor expansion of n in k 98.117 * [backup-simplify]: Simplify n into n 98.117 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 98.117 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 98.117 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 98.118 * [backup-simplify]: Simplify (+ 1 0) into 1 98.118 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 98.118 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 98.118 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 98.118 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 98.118 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 98.118 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 98.118 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 98.118 * [taylor]: Taking taylor expansion of 1/2 in n 98.118 * [backup-simplify]: Simplify 1/2 into 1/2 98.118 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 98.118 * [taylor]: Taking taylor expansion of (/ 1 k) in n 98.118 * [taylor]: Taking taylor expansion of k in n 98.118 * [backup-simplify]: Simplify k into k 98.118 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 98.118 * [taylor]: Taking taylor expansion of 1 in n 98.118 * [backup-simplify]: Simplify 1 into 1 98.118 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 98.118 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 98.118 * [taylor]: Taking taylor expansion of -2 in n 98.118 * [backup-simplify]: Simplify -2 into -2 98.118 * [taylor]: Taking taylor expansion of (/ PI n) in n 98.119 * [taylor]: Taking taylor expansion of PI in n 98.119 * [backup-simplify]: Simplify PI into PI 98.119 * [taylor]: Taking taylor expansion of n in n 98.119 * [backup-simplify]: Simplify 0 into 0 98.119 * [backup-simplify]: Simplify 1 into 1 98.119 * [backup-simplify]: Simplify (/ PI 1) into PI 98.119 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 98.120 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 98.120 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 98.120 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 98.121 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 98.121 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 98.122 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 98.122 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 98.122 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 98.122 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 98.122 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 98.122 * [taylor]: Taking taylor expansion of 1/2 in n 98.122 * [backup-simplify]: Simplify 1/2 into 1/2 98.122 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 98.122 * [taylor]: Taking taylor expansion of (/ 1 k) in n 98.122 * [taylor]: Taking taylor expansion of k in n 98.122 * [backup-simplify]: Simplify k into k 98.122 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 98.122 * [taylor]: Taking taylor expansion of 1 in n 98.122 * [backup-simplify]: Simplify 1 into 1 98.122 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 98.122 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 98.122 * [taylor]: Taking taylor expansion of -2 in n 98.122 * [backup-simplify]: Simplify -2 into -2 98.122 * [taylor]: Taking taylor expansion of (/ PI n) in n 98.122 * [taylor]: Taking taylor expansion of PI in n 98.122 * [backup-simplify]: Simplify PI into PI 98.122 * [taylor]: Taking taylor expansion of n in n 98.122 * [backup-simplify]: Simplify 0 into 0 98.122 * [backup-simplify]: Simplify 1 into 1 98.123 * [backup-simplify]: Simplify (/ PI 1) into PI 98.123 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 98.123 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 98.124 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 98.124 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 98.124 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 98.125 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 98.126 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 98.126 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 98.126 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 98.126 * [taylor]: Taking taylor expansion of 1/2 in k 98.126 * [backup-simplify]: Simplify 1/2 into 1/2 98.126 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 98.126 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 98.126 * [taylor]: Taking taylor expansion of (/ 1 k) in k 98.126 * [taylor]: Taking taylor expansion of k in k 98.126 * [backup-simplify]: Simplify 0 into 0 98.126 * [backup-simplify]: Simplify 1 into 1 98.126 * [backup-simplify]: Simplify (/ 1 1) into 1 98.126 * [taylor]: Taking taylor expansion of 1 in k 98.126 * [backup-simplify]: Simplify 1 into 1 98.126 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 98.126 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 98.126 * [taylor]: Taking taylor expansion of (* -2 PI) in k 98.126 * [taylor]: Taking taylor expansion of -2 in k 98.126 * [backup-simplify]: Simplify -2 into -2 98.126 * [taylor]: Taking taylor expansion of PI in k 98.126 * [backup-simplify]: Simplify PI into PI 98.127 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 98.127 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 98.127 * [taylor]: Taking taylor expansion of (log n) in k 98.127 * [taylor]: Taking taylor expansion of n in k 98.127 * [backup-simplify]: Simplify n into n 98.127 * [backup-simplify]: Simplify (log n) into (log n) 98.128 * [backup-simplify]: Simplify (+ 1 0) into 1 98.128 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 98.128 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 98.129 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 98.130 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 98.130 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 98.131 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 98.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 98.132 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 98.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 98.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 98.133 * [backup-simplify]: Simplify (+ 0 0) into 0 98.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 98.134 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 98.135 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 98.137 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 98.137 * [taylor]: Taking taylor expansion of 0 in k 98.137 * [backup-simplify]: Simplify 0 into 0 98.137 * [backup-simplify]: Simplify 0 into 0 98.137 * [backup-simplify]: Simplify 0 into 0 98.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.139 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 98.142 * [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 98.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 98.143 * [backup-simplify]: Simplify (+ 0 0) into 0 98.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 98.146 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 98.147 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 98.148 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 98.148 * [taylor]: Taking taylor expansion of 0 in k 98.148 * [backup-simplify]: Simplify 0 into 0 98.148 * [backup-simplify]: Simplify 0 into 0 98.148 * [backup-simplify]: Simplify 0 into 0 98.148 * [backup-simplify]: Simplify 0 into 0 98.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.149 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 98.152 * [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 98.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 98.153 * [backup-simplify]: Simplify (+ 0 0) into 0 98.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 98.154 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 98.155 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 98.157 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 98.157 * [taylor]: Taking taylor expansion of 0 in k 98.157 * [backup-simplify]: Simplify 0 into 0 98.157 * [backup-simplify]: Simplify 0 into 0 98.158 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 98.158 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 98.158 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 98.158 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 98.158 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 98.158 * [taylor]: Taking taylor expansion of 2 in n 98.158 * [backup-simplify]: Simplify 2 into 2 98.158 * [taylor]: Taking taylor expansion of (* n PI) in n 98.158 * [taylor]: Taking taylor expansion of n in n 98.159 * [backup-simplify]: Simplify 0 into 0 98.159 * [backup-simplify]: Simplify 1 into 1 98.159 * [taylor]: Taking taylor expansion of PI in n 98.159 * [backup-simplify]: Simplify PI into PI 98.159 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 98.159 * [taylor]: Taking taylor expansion of 2 in n 98.159 * [backup-simplify]: Simplify 2 into 2 98.159 * [taylor]: Taking taylor expansion of (* n PI) in n 98.159 * [taylor]: Taking taylor expansion of n in n 98.159 * [backup-simplify]: Simplify 0 into 0 98.159 * [backup-simplify]: Simplify 1 into 1 98.159 * [taylor]: Taking taylor expansion of PI in n 98.159 * [backup-simplify]: Simplify PI into PI 98.159 * [backup-simplify]: Simplify (* 0 PI) into 0 98.160 * [backup-simplify]: Simplify (* 2 0) into 0 98.160 * [backup-simplify]: Simplify 0 into 0 98.161 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 98.161 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 98.162 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 98.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 98.163 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 98.163 * [backup-simplify]: Simplify 0 into 0 98.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 98.166 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 98.166 * [backup-simplify]: Simplify 0 into 0 98.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 98.168 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 98.168 * [backup-simplify]: Simplify 0 into 0 98.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 98.171 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 98.171 * [backup-simplify]: Simplify 0 into 0 98.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 98.174 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 98.174 * [backup-simplify]: Simplify 0 into 0 98.176 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 98.178 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 98.178 * [backup-simplify]: Simplify 0 into 0 98.179 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 98.179 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 98.179 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 98.179 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 98.179 * [taylor]: Taking taylor expansion of 2 in n 98.179 * [backup-simplify]: Simplify 2 into 2 98.179 * [taylor]: Taking taylor expansion of (/ PI n) in n 98.179 * [taylor]: Taking taylor expansion of PI in n 98.179 * [backup-simplify]: Simplify PI into PI 98.180 * [taylor]: Taking taylor expansion of n in n 98.180 * [backup-simplify]: Simplify 0 into 0 98.180 * [backup-simplify]: Simplify 1 into 1 98.180 * [backup-simplify]: Simplify (/ PI 1) into PI 98.180 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 98.180 * [taylor]: Taking taylor expansion of 2 in n 98.180 * [backup-simplify]: Simplify 2 into 2 98.180 * [taylor]: Taking taylor expansion of (/ PI n) in n 98.180 * [taylor]: Taking taylor expansion of PI in n 98.180 * [backup-simplify]: Simplify PI into PI 98.180 * [taylor]: Taking taylor expansion of n in n 98.180 * [backup-simplify]: Simplify 0 into 0 98.180 * [backup-simplify]: Simplify 1 into 1 98.181 * [backup-simplify]: Simplify (/ PI 1) into PI 98.181 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 98.182 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 98.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 98.183 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 98.183 * [backup-simplify]: Simplify 0 into 0 98.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.185 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 98.185 * [backup-simplify]: Simplify 0 into 0 98.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.188 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 98.188 * [backup-simplify]: Simplify 0 into 0 98.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.190 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 98.190 * [backup-simplify]: Simplify 0 into 0 98.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.193 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 98.193 * [backup-simplify]: Simplify 0 into 0 98.194 * [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 98.195 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 98.196 * [backup-simplify]: Simplify 0 into 0 98.196 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 98.197 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 98.197 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 98.197 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 98.197 * [taylor]: Taking taylor expansion of -2 in n 98.197 * [backup-simplify]: Simplify -2 into -2 98.197 * [taylor]: Taking taylor expansion of (/ PI n) in n 98.197 * [taylor]: Taking taylor expansion of PI in n 98.197 * [backup-simplify]: Simplify PI into PI 98.197 * [taylor]: Taking taylor expansion of n in n 98.197 * [backup-simplify]: Simplify 0 into 0 98.197 * [backup-simplify]: Simplify 1 into 1 98.197 * [backup-simplify]: Simplify (/ PI 1) into PI 98.197 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 98.197 * [taylor]: Taking taylor expansion of -2 in n 98.197 * [backup-simplify]: Simplify -2 into -2 98.197 * [taylor]: Taking taylor expansion of (/ PI n) in n 98.197 * [taylor]: Taking taylor expansion of PI in n 98.198 * [backup-simplify]: Simplify PI into PI 98.198 * [taylor]: Taking taylor expansion of n in n 98.198 * [backup-simplify]: Simplify 0 into 0 98.198 * [backup-simplify]: Simplify 1 into 1 98.198 * [backup-simplify]: Simplify (/ PI 1) into PI 98.199 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 98.199 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 98.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 98.201 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 98.201 * [backup-simplify]: Simplify 0 into 0 98.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.203 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 98.203 * [backup-simplify]: Simplify 0 into 0 98.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.205 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 98.205 * [backup-simplify]: Simplify 0 into 0 98.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.207 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 98.207 * [backup-simplify]: Simplify 0 into 0 98.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.210 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 98.210 * [backup-simplify]: Simplify 0 into 0 98.211 * [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 98.213 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 98.213 * [backup-simplify]: Simplify 0 into 0 98.213 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 98.214 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 98.214 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (pow (/ 1 k) 1/4)) 98.214 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (pow (/ 1 k) 1/4)) in (n k) around 0 98.214 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (pow (/ 1 k) 1/4)) in k 98.214 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 98.214 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 98.214 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 98.215 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 98.215 * [taylor]: Taking taylor expansion of 1/2 in k 98.215 * [backup-simplify]: Simplify 1/2 into 1/2 98.215 * [taylor]: Taking taylor expansion of (- 1 k) in k 98.215 * [taylor]: Taking taylor expansion of 1 in k 98.215 * [backup-simplify]: Simplify 1 into 1 98.215 * [taylor]: Taking taylor expansion of k in k 98.215 * [backup-simplify]: Simplify 0 into 0 98.215 * [backup-simplify]: Simplify 1 into 1 98.215 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 98.215 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 98.215 * [taylor]: Taking taylor expansion of 2 in k 98.215 * [backup-simplify]: Simplify 2 into 2 98.215 * [taylor]: Taking taylor expansion of (* n PI) in k 98.215 * [taylor]: Taking taylor expansion of n in k 98.215 * [backup-simplify]: Simplify n into n 98.215 * [taylor]: Taking taylor expansion of PI in k 98.215 * [backup-simplify]: Simplify PI into PI 98.215 * [backup-simplify]: Simplify (* n PI) into (* n PI) 98.215 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 98.215 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 98.216 * [backup-simplify]: Simplify (- 0) into 0 98.216 * [backup-simplify]: Simplify (+ 1 0) into 1 98.216 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 98.217 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 98.217 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 98.217 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 98.217 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 98.217 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 98.217 * [taylor]: Taking taylor expansion of 1/4 in k 98.217 * [backup-simplify]: Simplify 1/4 into 1/4 98.217 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 98.217 * [taylor]: Taking taylor expansion of (/ 1 k) in k 98.217 * [taylor]: Taking taylor expansion of k in k 98.217 * [backup-simplify]: Simplify 0 into 0 98.217 * [backup-simplify]: Simplify 1 into 1 98.217 * [backup-simplify]: Simplify (/ 1 1) into 1 98.218 * [backup-simplify]: Simplify (log 1) into 0 98.218 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 98.218 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 98.218 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 98.218 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (pow (/ 1 k) 1/4)) in n 98.218 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 98.218 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 98.218 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 98.218 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 98.218 * [taylor]: Taking taylor expansion of 1/2 in n 98.218 * [backup-simplify]: Simplify 1/2 into 1/2 98.218 * [taylor]: Taking taylor expansion of (- 1 k) in n 98.219 * [taylor]: Taking taylor expansion of 1 in n 98.219 * [backup-simplify]: Simplify 1 into 1 98.219 * [taylor]: Taking taylor expansion of k in n 98.219 * [backup-simplify]: Simplify k into k 98.219 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 98.219 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 98.219 * [taylor]: Taking taylor expansion of 2 in n 98.219 * [backup-simplify]: Simplify 2 into 2 98.219 * [taylor]: Taking taylor expansion of (* n PI) in n 98.219 * [taylor]: Taking taylor expansion of n in n 98.219 * [backup-simplify]: Simplify 0 into 0 98.219 * [backup-simplify]: Simplify 1 into 1 98.219 * [taylor]: Taking taylor expansion of PI in n 98.219 * [backup-simplify]: Simplify PI into PI 98.220 * [backup-simplify]: Simplify (* 0 PI) into 0 98.220 * [backup-simplify]: Simplify (* 2 0) into 0 98.222 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 98.223 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 98.224 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 98.225 * [backup-simplify]: Simplify (- k) into (- k) 98.225 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 98.225 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 98.226 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 98.227 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 98.228 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 98.228 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 98.228 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 98.228 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 98.228 * [taylor]: Taking taylor expansion of 1/4 in n 98.228 * [backup-simplify]: Simplify 1/4 into 1/4 98.228 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 98.228 * [taylor]: Taking taylor expansion of (/ 1 k) in n 98.228 * [taylor]: Taking taylor expansion of k in n 98.228 * [backup-simplify]: Simplify k into k 98.229 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 98.229 * [backup-simplify]: Simplify (log (/ 1 k)) into (log (/ 1 k)) 98.229 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 98.229 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 98.229 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (pow (/ 1 k) 1/4)) in n 98.229 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 98.229 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 98.229 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 98.229 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 98.229 * [taylor]: Taking taylor expansion of 1/2 in n 98.229 * [backup-simplify]: Simplify 1/2 into 1/2 98.229 * [taylor]: Taking taylor expansion of (- 1 k) in n 98.229 * [taylor]: Taking taylor expansion of 1 in n 98.229 * [backup-simplify]: Simplify 1 into 1 98.229 * [taylor]: Taking taylor expansion of k in n 98.229 * [backup-simplify]: Simplify k into k 98.229 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 98.229 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 98.229 * [taylor]: Taking taylor expansion of 2 in n 98.229 * [backup-simplify]: Simplify 2 into 2 98.229 * [taylor]: Taking taylor expansion of (* n PI) in n 98.229 * [taylor]: Taking taylor expansion of n in n 98.229 * [backup-simplify]: Simplify 0 into 0 98.229 * [backup-simplify]: Simplify 1 into 1 98.229 * [taylor]: Taking taylor expansion of PI in n 98.229 * [backup-simplify]: Simplify PI into PI 98.230 * [backup-simplify]: Simplify (* 0 PI) into 0 98.230 * [backup-simplify]: Simplify (* 2 0) into 0 98.232 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 98.233 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 98.234 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 98.234 * [backup-simplify]: Simplify (- k) into (- k) 98.234 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 98.234 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 98.235 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 98.237 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 98.238 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 98.238 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 98.238 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 98.238 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 98.238 * [taylor]: Taking taylor expansion of 1/4 in n 98.238 * [backup-simplify]: Simplify 1/4 into 1/4 98.238 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 98.238 * [taylor]: Taking taylor expansion of (/ 1 k) in n 98.238 * [taylor]: Taking taylor expansion of k in n 98.238 * [backup-simplify]: Simplify k into k 98.238 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 98.238 * [backup-simplify]: Simplify (log (/ 1 k)) into (log (/ 1 k)) 98.238 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 98.238 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 98.239 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4)) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4)) 98.239 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4)) in k 98.239 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 98.239 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 98.240 * [taylor]: Taking taylor expansion of 1/2 in k 98.240 * [backup-simplify]: Simplify 1/2 into 1/2 98.240 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 98.240 * [taylor]: Taking taylor expansion of (- 1 k) in k 98.240 * [taylor]: Taking taylor expansion of 1 in k 98.240 * [backup-simplify]: Simplify 1 into 1 98.240 * [taylor]: Taking taylor expansion of k in k 98.240 * [backup-simplify]: Simplify 0 into 0 98.240 * [backup-simplify]: Simplify 1 into 1 98.240 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 98.240 * [taylor]: Taking taylor expansion of (log n) in k 98.240 * [taylor]: Taking taylor expansion of n in k 98.240 * [backup-simplify]: Simplify n into n 98.240 * [backup-simplify]: Simplify (log n) into (log n) 98.240 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 98.240 * [taylor]: Taking taylor expansion of (* 2 PI) in k 98.240 * [taylor]: Taking taylor expansion of 2 in k 98.240 * [backup-simplify]: Simplify 2 into 2 98.240 * [taylor]: Taking taylor expansion of PI in k 98.240 * [backup-simplify]: Simplify PI into PI 98.240 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 98.241 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 98.242 * [backup-simplify]: Simplify (- 0) into 0 98.242 * [backup-simplify]: Simplify (+ 1 0) into 1 98.243 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 98.244 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 98.245 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 98.246 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 98.246 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 98.246 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 98.246 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 98.246 * [taylor]: Taking taylor expansion of 1/4 in k 98.246 * [backup-simplify]: Simplify 1/4 into 1/4 98.246 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 98.246 * [taylor]: Taking taylor expansion of (/ 1 k) in k 98.246 * [taylor]: Taking taylor expansion of k in k 98.246 * [backup-simplify]: Simplify 0 into 0 98.246 * [backup-simplify]: Simplify 1 into 1 98.247 * [backup-simplify]: Simplify (/ 1 1) into 1 98.247 * [backup-simplify]: Simplify (log 1) into 0 98.247 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 98.248 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 98.248 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 98.249 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k -1/4)) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) 98.250 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) 98.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 98.251 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 k) 1)))) 1) into 0 98.251 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 k)))) into 0 98.252 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 98.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 98.254 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 98.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 98.256 * [backup-simplify]: Simplify (- 0) into 0 98.257 * [backup-simplify]: Simplify (+ 0 0) into 0 98.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 98.259 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 98.260 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 98.262 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 98.263 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (pow (/ 1 k) 1/4))) into 0 98.263 * [taylor]: Taking taylor expansion of 0 in k 98.263 * [backup-simplify]: Simplify 0 into 0 98.263 * [backup-simplify]: Simplify 0 into 0 98.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 98.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 98.265 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 98.266 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 98.267 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 98.268 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 98.268 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 98.270 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 98.270 * [backup-simplify]: Simplify (+ 0 0) into 0 98.271 * [backup-simplify]: Simplify (- 1) into -1 98.271 * [backup-simplify]: Simplify (+ 0 -1) into -1 98.273 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 98.275 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 98.281 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 98.284 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (pow k -1/4))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) 98.286 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) 98.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 98.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 k) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 k) 1)))) 2) into 0 98.287 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 k))))) into 0 98.288 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 98.289 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 98.290 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 98.291 * [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 98.292 * [backup-simplify]: Simplify (- 0) into 0 98.292 * [backup-simplify]: Simplify (+ 0 0) into 0 98.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 98.293 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 98.294 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 98.295 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 98.296 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (pow (/ 1 k) 1/4)))) into 0 98.296 * [taylor]: Taking taylor expansion of 0 in k 98.296 * [backup-simplify]: Simplify 0 into 0 98.296 * [backup-simplify]: Simplify 0 into 0 98.296 * [backup-simplify]: Simplify 0 into 0 98.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.298 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 98.299 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 98.299 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 98.300 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 98.301 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 98.301 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 98.303 * [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 98.303 * [backup-simplify]: Simplify (+ 0 0) into 0 98.303 * [backup-simplify]: Simplify (- 0) into 0 98.304 * [backup-simplify]: Simplify (+ 0 0) into 0 98.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 98.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 98.308 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 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))))) 98.316 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 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))))) (pow k -1/4)))) into (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) 98.322 * [backup-simplify]: Simplify (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) into (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) 98.335 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) (* k 1)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)))) into (- (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (pow k 7) 1/4))) (+ (* 1/4 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (pow (pow k 7) 1/4))) (* 1/8 (* (* (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 7) 1/4)))))) (+ (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 3) 1/4))) (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (pow k 3) 1/4))))) 98.336 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (sqrt (sqrt (/ 1 k)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (pow k 1/4)) 98.336 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (pow k 1/4)) in (n k) around 0 98.336 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (pow k 1/4)) in k 98.336 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 98.336 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 98.336 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 98.336 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 98.336 * [taylor]: Taking taylor expansion of 1/2 in k 98.336 * [backup-simplify]: Simplify 1/2 into 1/2 98.336 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 98.336 * [taylor]: Taking taylor expansion of 1 in k 98.336 * [backup-simplify]: Simplify 1 into 1 98.336 * [taylor]: Taking taylor expansion of (/ 1 k) in k 98.336 * [taylor]: Taking taylor expansion of k in k 98.336 * [backup-simplify]: Simplify 0 into 0 98.336 * [backup-simplify]: Simplify 1 into 1 98.336 * [backup-simplify]: Simplify (/ 1 1) into 1 98.337 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 98.337 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 98.337 * [taylor]: Taking taylor expansion of 2 in k 98.337 * [backup-simplify]: Simplify 2 into 2 98.337 * [taylor]: Taking taylor expansion of (/ PI n) in k 98.337 * [taylor]: Taking taylor expansion of PI in k 98.337 * [backup-simplify]: Simplify PI into PI 98.337 * [taylor]: Taking taylor expansion of n in k 98.337 * [backup-simplify]: Simplify n into n 98.337 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 98.337 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 98.337 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 98.337 * [backup-simplify]: Simplify (- 1) into -1 98.338 * [backup-simplify]: Simplify (+ 0 -1) into -1 98.338 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 98.338 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 98.339 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 98.339 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 98.339 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 98.339 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 98.339 * [taylor]: Taking taylor expansion of 1/4 in k 98.339 * [backup-simplify]: Simplify 1/4 into 1/4 98.339 * [taylor]: Taking taylor expansion of (log k) in k 98.339 * [taylor]: Taking taylor expansion of k in k 98.339 * [backup-simplify]: Simplify 0 into 0 98.339 * [backup-simplify]: Simplify 1 into 1 98.339 * [backup-simplify]: Simplify (log 1) into 0 98.340 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 98.340 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 98.340 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 98.340 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (pow k 1/4)) in n 98.340 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 98.340 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 98.340 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 98.340 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 98.340 * [taylor]: Taking taylor expansion of 1/2 in n 98.340 * [backup-simplify]: Simplify 1/2 into 1/2 98.340 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 98.340 * [taylor]: Taking taylor expansion of 1 in n 98.340 * [backup-simplify]: Simplify 1 into 1 98.340 * [taylor]: Taking taylor expansion of (/ 1 k) in n 98.340 * [taylor]: Taking taylor expansion of k in n 98.340 * [backup-simplify]: Simplify k into k 98.340 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 98.340 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 98.340 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 98.340 * [taylor]: Taking taylor expansion of 2 in n 98.340 * [backup-simplify]: Simplify 2 into 2 98.340 * [taylor]: Taking taylor expansion of (/ PI n) in n 98.341 * [taylor]: Taking taylor expansion of PI in n 98.341 * [backup-simplify]: Simplify PI into PI 98.341 * [taylor]: Taking taylor expansion of n in n 98.341 * [backup-simplify]: Simplify 0 into 0 98.341 * [backup-simplify]: Simplify 1 into 1 98.341 * [backup-simplify]: Simplify (/ PI 1) into PI 98.342 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 98.343 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 98.343 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 98.343 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 98.343 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 98.344 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 98.345 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 98.346 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 98.346 * [taylor]: Taking taylor expansion of (pow k 1/4) in n 98.346 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n 98.346 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n 98.346 * [taylor]: Taking taylor expansion of 1/4 in n 98.346 * [backup-simplify]: Simplify 1/4 into 1/4 98.346 * [taylor]: Taking taylor expansion of (log k) in n 98.347 * [taylor]: Taking taylor expansion of k in n 98.347 * [backup-simplify]: Simplify k into k 98.347 * [backup-simplify]: Simplify (log k) into (log k) 98.347 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 98.347 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 98.347 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (pow k 1/4)) in n 98.347 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 98.347 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 98.347 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 98.347 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 98.347 * [taylor]: Taking taylor expansion of 1/2 in n 98.347 * [backup-simplify]: Simplify 1/2 into 1/2 98.347 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 98.347 * [taylor]: Taking taylor expansion of 1 in n 98.347 * [backup-simplify]: Simplify 1 into 1 98.347 * [taylor]: Taking taylor expansion of (/ 1 k) in n 98.347 * [taylor]: Taking taylor expansion of k in n 98.347 * [backup-simplify]: Simplify k into k 98.347 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 98.347 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 98.347 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 98.347 * [taylor]: Taking taylor expansion of 2 in n 98.347 * [backup-simplify]: Simplify 2 into 2 98.347 * [taylor]: Taking taylor expansion of (/ PI n) in n 98.347 * [taylor]: Taking taylor expansion of PI in n 98.347 * [backup-simplify]: Simplify PI into PI 98.347 * [taylor]: Taking taylor expansion of n in n 98.347 * [backup-simplify]: Simplify 0 into 0 98.347 * [backup-simplify]: Simplify 1 into 1 98.348 * [backup-simplify]: Simplify (/ PI 1) into PI 98.348 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 98.349 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 98.349 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 98.349 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 98.349 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 98.351 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 98.352 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 98.353 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 98.353 * [taylor]: Taking taylor expansion of (pow k 1/4) in n 98.353 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n 98.353 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n 98.353 * [taylor]: Taking taylor expansion of 1/4 in n 98.353 * [backup-simplify]: Simplify 1/4 into 1/4 98.353 * [taylor]: Taking taylor expansion of (log k) in n 98.353 * [taylor]: Taking taylor expansion of k in n 98.353 * [backup-simplify]: Simplify k into k 98.353 * [backup-simplify]: Simplify (log k) into (log k) 98.353 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 98.353 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 98.355 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (pow k 1/4)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (pow k 1/4)) 98.355 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (pow k 1/4)) in k 98.355 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 98.355 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 98.355 * [taylor]: Taking taylor expansion of 1/2 in k 98.355 * [backup-simplify]: Simplify 1/2 into 1/2 98.355 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 98.355 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 98.355 * [taylor]: Taking taylor expansion of 1 in k 98.355 * [backup-simplify]: Simplify 1 into 1 98.355 * [taylor]: Taking taylor expansion of (/ 1 k) in k 98.355 * [taylor]: Taking taylor expansion of k in k 98.355 * [backup-simplify]: Simplify 0 into 0 98.355 * [backup-simplify]: Simplify 1 into 1 98.355 * [backup-simplify]: Simplify (/ 1 1) into 1 98.355 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 98.355 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 98.355 * [taylor]: Taking taylor expansion of (* 2 PI) in k 98.355 * [taylor]: Taking taylor expansion of 2 in k 98.356 * [backup-simplify]: Simplify 2 into 2 98.356 * [taylor]: Taking taylor expansion of PI in k 98.356 * [backup-simplify]: Simplify PI into PI 98.356 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 98.357 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 98.357 * [taylor]: Taking taylor expansion of (log n) in k 98.357 * [taylor]: Taking taylor expansion of n in k 98.357 * [backup-simplify]: Simplify n into n 98.357 * [backup-simplify]: Simplify (log n) into (log n) 98.357 * [backup-simplify]: Simplify (- 1) into -1 98.358 * [backup-simplify]: Simplify (+ 0 -1) into -1 98.358 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 98.359 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 98.360 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 98.361 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 98.362 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 98.362 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 98.362 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 98.362 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 98.362 * [taylor]: Taking taylor expansion of 1/4 in k 98.362 * [backup-simplify]: Simplify 1/4 into 1/4 98.362 * [taylor]: Taking taylor expansion of (log k) in k 98.363 * [taylor]: Taking taylor expansion of k in k 98.363 * [backup-simplify]: Simplify 0 into 0 98.363 * [backup-simplify]: Simplify 1 into 1 98.363 * [backup-simplify]: Simplify (log 1) into 0 98.363 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 98.363 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 98.364 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 98.365 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (pow k 1/4)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (pow k 1/4)) 98.366 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (pow k 1/4)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (pow k 1/4)) 98.367 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow k 1)))) 1) into 0 98.367 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 98.368 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 98.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 98.370 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 98.371 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 98.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 98.372 * [backup-simplify]: Simplify (- 0) into 0 98.372 * [backup-simplify]: Simplify (+ 0 0) into 0 98.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 98.374 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 98.375 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 98.377 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 98.379 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (pow k 1/4))) into 0 98.379 * [taylor]: Taking taylor expansion of 0 in k 98.379 * [backup-simplify]: Simplify 0 into 0 98.379 * [backup-simplify]: Simplify 0 into 0 98.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 98.381 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 98.381 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 98.382 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 98.383 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (pow k 1/4))) into 0 98.383 * [backup-simplify]: Simplify 0 into 0 98.385 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow k 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow k 1)))) 2) into 0 98.386 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 98.387 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 98.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.389 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 98.393 * [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 98.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 98.393 * [backup-simplify]: Simplify (- 0) into 0 98.396 * [backup-simplify]: Simplify (+ 0 0) into 0 98.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 98.398 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 98.400 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 98.402 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 98.404 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 98.404 * [taylor]: Taking taylor expansion of 0 in k 98.404 * [backup-simplify]: Simplify 0 into 0 98.404 * [backup-simplify]: Simplify 0 into 0 98.404 * [backup-simplify]: Simplify 0 into 0 98.407 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 98.407 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 98.408 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 98.409 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 98.411 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 98.411 * [backup-simplify]: Simplify 0 into 0 98.414 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow k 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow k 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow k 1)))) 6) into 0 98.415 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 98.416 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 98.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.418 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 98.424 * [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 98.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 98.425 * [backup-simplify]: Simplify (- 0) into 0 98.426 * [backup-simplify]: Simplify (+ 0 0) into 0 98.427 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 98.428 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 98.430 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 98.433 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 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 98.435 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 98.435 * [taylor]: Taking taylor expansion of 0 in k 98.435 * [backup-simplify]: Simplify 0 into 0 98.435 * [backup-simplify]: Simplify 0 into 0 98.436 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow (/ 1 k) 1/4)) into (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow (/ 1 k) 1/4)) 98.437 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (sqrt (/ 1 (- k))))) into (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) 98.437 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (n k) around 0 98.437 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 98.437 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 98.437 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 98.437 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 98.437 * [taylor]: Taking taylor expansion of (/ -1 k) in k 98.437 * [taylor]: Taking taylor expansion of -1 in k 98.437 * [backup-simplify]: Simplify -1 into -1 98.437 * [taylor]: Taking taylor expansion of k in k 98.437 * [backup-simplify]: Simplify 0 into 0 98.437 * [backup-simplify]: Simplify 1 into 1 98.438 * [backup-simplify]: Simplify (/ -1 1) into -1 98.438 * [backup-simplify]: Simplify (sqrt 0) into 0 98.440 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 98.440 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 98.441 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 98.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 98.444 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 98.446 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 98.448 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 98.448 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 98.448 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 98.449 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 98.449 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 98.449 * [taylor]: Taking taylor expansion of 1/2 in k 98.449 * [backup-simplify]: Simplify 1/2 into 1/2 98.449 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 98.449 * [taylor]: Taking taylor expansion of (/ 1 k) in k 98.449 * [taylor]: Taking taylor expansion of k in k 98.449 * [backup-simplify]: Simplify 0 into 0 98.449 * [backup-simplify]: Simplify 1 into 1 98.449 * [backup-simplify]: Simplify (/ 1 1) into 1 98.449 * [taylor]: Taking taylor expansion of 1 in k 98.449 * [backup-simplify]: Simplify 1 into 1 98.449 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 98.449 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 98.449 * [taylor]: Taking taylor expansion of -2 in k 98.449 * [backup-simplify]: Simplify -2 into -2 98.449 * [taylor]: Taking taylor expansion of (/ PI n) in k 98.449 * [taylor]: Taking taylor expansion of PI in k 98.449 * [backup-simplify]: Simplify PI into PI 98.449 * [taylor]: Taking taylor expansion of n in k 98.449 * [backup-simplify]: Simplify n into n 98.450 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 98.450 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 98.450 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 98.450 * [backup-simplify]: Simplify (+ 1 0) into 1 98.451 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 98.451 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 98.451 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 98.451 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 98.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 98.451 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 98.451 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 98.451 * [taylor]: Taking taylor expansion of (/ -1 k) in n 98.452 * [taylor]: Taking taylor expansion of -1 in n 98.452 * [backup-simplify]: Simplify -1 into -1 98.452 * [taylor]: Taking taylor expansion of k in n 98.452 * [backup-simplify]: Simplify k into k 98.452 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 98.452 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 98.452 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 98.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 98.452 * [backup-simplify]: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k))) 98.452 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt (/ -1 k)))) into (sqrt (/ 1 (sqrt (/ -1 k)))) 98.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 98.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0 98.452 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 98.453 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 98.453 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 98.453 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 98.453 * [taylor]: Taking taylor expansion of 1/2 in n 98.453 * [backup-simplify]: Simplify 1/2 into 1/2 98.453 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 98.453 * [taylor]: Taking taylor expansion of (/ 1 k) in n 98.453 * [taylor]: Taking taylor expansion of k in n 98.453 * [backup-simplify]: Simplify k into k 98.453 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 98.453 * [taylor]: Taking taylor expansion of 1 in n 98.453 * [backup-simplify]: Simplify 1 into 1 98.453 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 98.453 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 98.453 * [taylor]: Taking taylor expansion of -2 in n 98.453 * [backup-simplify]: Simplify -2 into -2 98.453 * [taylor]: Taking taylor expansion of (/ PI n) in n 98.453 * [taylor]: Taking taylor expansion of PI in n 98.453 * [backup-simplify]: Simplify PI into PI 98.453 * [taylor]: Taking taylor expansion of n in n 98.453 * [backup-simplify]: Simplify 0 into 0 98.453 * [backup-simplify]: Simplify 1 into 1 98.454 * [backup-simplify]: Simplify (/ PI 1) into PI 98.454 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 98.455 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 98.455 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 98.455 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 98.456 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 98.457 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 98.457 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 98.457 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 98.457 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 98.457 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 98.457 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 98.457 * [taylor]: Taking taylor expansion of (/ -1 k) in n 98.457 * [taylor]: Taking taylor expansion of -1 in n 98.457 * [backup-simplify]: Simplify -1 into -1 98.457 * [taylor]: Taking taylor expansion of k in n 98.457 * [backup-simplify]: Simplify k into k 98.457 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 98.457 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 98.458 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 98.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 98.458 * [backup-simplify]: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k))) 98.458 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt (/ -1 k)))) into (sqrt (/ 1 (sqrt (/ -1 k)))) 98.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 98.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0 98.458 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 98.458 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 98.458 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 98.458 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 98.458 * [taylor]: Taking taylor expansion of 1/2 in n 98.458 * [backup-simplify]: Simplify 1/2 into 1/2 98.458 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 98.458 * [taylor]: Taking taylor expansion of (/ 1 k) in n 98.458 * [taylor]: Taking taylor expansion of k in n 98.458 * [backup-simplify]: Simplify k into k 98.458 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 98.458 * [taylor]: Taking taylor expansion of 1 in n 98.458 * [backup-simplify]: Simplify 1 into 1 98.458 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 98.458 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 98.458 * [taylor]: Taking taylor expansion of -2 in n 98.458 * [backup-simplify]: Simplify -2 into -2 98.458 * [taylor]: Taking taylor expansion of (/ PI n) in n 98.458 * [taylor]: Taking taylor expansion of PI in n 98.458 * [backup-simplify]: Simplify PI into PI 98.458 * [taylor]: Taking taylor expansion of n in n 98.458 * [backup-simplify]: Simplify 0 into 0 98.458 * [backup-simplify]: Simplify 1 into 1 98.459 * [backup-simplify]: Simplify (/ PI 1) into PI 98.459 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 98.459 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 98.459 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 98.460 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 98.460 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 98.461 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 98.462 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 98.462 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 98.462 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) in k 98.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 98.463 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 98.463 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 98.463 * [taylor]: Taking taylor expansion of (/ -1 k) in k 98.463 * [taylor]: Taking taylor expansion of -1 in k 98.463 * [backup-simplify]: Simplify -1 into -1 98.463 * [taylor]: Taking taylor expansion of k in k 98.463 * [backup-simplify]: Simplify 0 into 0 98.463 * [backup-simplify]: Simplify 1 into 1 98.463 * [backup-simplify]: Simplify (/ -1 1) into -1 98.463 * [backup-simplify]: Simplify (sqrt 0) into 0 98.464 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 98.464 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 98.465 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 98.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 98.467 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 98.468 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 98.469 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 98.469 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 98.469 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 98.469 * [taylor]: Taking taylor expansion of 1/2 in k 98.469 * [backup-simplify]: Simplify 1/2 into 1/2 98.470 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 98.470 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 98.470 * [taylor]: Taking taylor expansion of (/ 1 k) in k 98.470 * [taylor]: Taking taylor expansion of k in k 98.470 * [backup-simplify]: Simplify 0 into 0 98.470 * [backup-simplify]: Simplify 1 into 1 98.470 * [backup-simplify]: Simplify (/ 1 1) into 1 98.470 * [taylor]: Taking taylor expansion of 1 in k 98.470 * [backup-simplify]: Simplify 1 into 1 98.470 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 98.470 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 98.470 * [taylor]: Taking taylor expansion of (* -2 PI) in k 98.470 * [taylor]: Taking taylor expansion of -2 in k 98.470 * [backup-simplify]: Simplify -2 into -2 98.470 * [taylor]: Taking taylor expansion of PI in k 98.470 * [backup-simplify]: Simplify PI into PI 98.470 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 98.471 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 98.471 * [taylor]: Taking taylor expansion of (log n) in k 98.471 * [taylor]: Taking taylor expansion of n in k 98.471 * [backup-simplify]: Simplify n into n 98.471 * [backup-simplify]: Simplify (log n) into (log n) 98.471 * [backup-simplify]: Simplify (+ 1 0) into 1 98.471 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 98.472 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 98.473 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 98.473 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 98.474 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 98.475 * [backup-simplify]: Simplify (* (sqrt +nan.0) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* (sqrt +nan.0) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 98.476 * [backup-simplify]: Simplify (* (sqrt +nan.0) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* (sqrt +nan.0) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 98.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 98.477 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 98.478 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 98.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 98.478 * [backup-simplify]: Simplify (+ 0 0) into 0 98.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 98.479 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 98.480 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 98.481 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 98.482 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt (/ -1 k)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 98.482 * [taylor]: Taking taylor expansion of 0 in k 98.482 * [backup-simplify]: Simplify 0 into 0 98.482 * [backup-simplify]: Simplify 0 into 0 98.484 * [backup-simplify]: Simplify (+ (* (sqrt +nan.0) 0) (* (/ +nan.0 (sqrt +nan.0)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt +nan.0)))) 98.485 * [backup-simplify]: Simplify (- (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt +nan.0)))) into (- (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt +nan.0)))) 98.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.487 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 98.491 * [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 98.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 98.492 * [backup-simplify]: Simplify (+ 0 0) into 0 98.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 98.494 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 98.496 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 98.498 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 98.499 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 98.500 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 98.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 98.501 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0 98.502 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0 98.502 * [taylor]: Taking taylor expansion of 0 in k 98.502 * [backup-simplify]: Simplify 0 into 0 98.502 * [backup-simplify]: Simplify 0 into 0 98.502 * [backup-simplify]: Simplify 0 into 0 98.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 98.512 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 98.517 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 98.530 * [backup-simplify]: Simplify (+ (* (sqrt +nan.0) 0) (+ (* (/ +nan.0 (sqrt +nan.0)) 0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt +nan.0)))))) 98.534 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt +nan.0)))))) 98.541 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) (sqrt +nan.0)))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) (sqrt +nan.0)))) (* (/ 1 (- k)) 1)) (* (sqrt +nan.0) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (* (sqrt +nan.0) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (* k (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (* (pow k 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (* (pow k 2) (pow (sqrt +nan.0) 3))))))))) 98.541 * * * * [progress]: [ 4 / 4 ] generating series at (2) 98.542 * [backup-simplify]: Simplify (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 98.542 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 98.542 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 98.542 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 98.542 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 98.542 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 98.542 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 98.542 * [taylor]: Taking taylor expansion of 1/2 in k 98.542 * [backup-simplify]: Simplify 1/2 into 1/2 98.542 * [taylor]: Taking taylor expansion of (- 1 k) in k 98.542 * [taylor]: Taking taylor expansion of 1 in k 98.542 * [backup-simplify]: Simplify 1 into 1 98.543 * [taylor]: Taking taylor expansion of k in k 98.543 * [backup-simplify]: Simplify 0 into 0 98.543 * [backup-simplify]: Simplify 1 into 1 98.543 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 98.543 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 98.543 * [taylor]: Taking taylor expansion of 2 in k 98.543 * [backup-simplify]: Simplify 2 into 2 98.543 * [taylor]: Taking taylor expansion of (* n PI) in k 98.543 * [taylor]: Taking taylor expansion of n in k 98.543 * [backup-simplify]: Simplify n into n 98.543 * [taylor]: Taking taylor expansion of PI in k 98.543 * [backup-simplify]: Simplify PI into PI 98.543 * [backup-simplify]: Simplify (* n PI) into (* n PI) 98.543 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 98.543 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 98.543 * [backup-simplify]: Simplify (- 0) into 0 98.544 * [backup-simplify]: Simplify (+ 1 0) into 1 98.544 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 98.544 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 98.545 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 98.545 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 98.545 * [taylor]: Taking taylor expansion of (/ 1 k) in k 98.545 * [taylor]: Taking taylor expansion of k in k 98.545 * [backup-simplify]: Simplify 0 into 0 98.545 * [backup-simplify]: Simplify 1 into 1 98.545 * [backup-simplify]: Simplify (/ 1 1) into 1 98.545 * [backup-simplify]: Simplify (sqrt 0) into 0 98.547 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 98.547 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 98.547 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 98.547 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 98.547 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 98.547 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 98.547 * [taylor]: Taking taylor expansion of 1/2 in n 98.547 * [backup-simplify]: Simplify 1/2 into 1/2 98.547 * [taylor]: Taking taylor expansion of (- 1 k) in n 98.547 * [taylor]: Taking taylor expansion of 1 in n 98.547 * [backup-simplify]: Simplify 1 into 1 98.547 * [taylor]: Taking taylor expansion of k in n 98.547 * [backup-simplify]: Simplify k into k 98.547 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 98.547 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 98.547 * [taylor]: Taking taylor expansion of 2 in n 98.547 * [backup-simplify]: Simplify 2 into 2 98.547 * [taylor]: Taking taylor expansion of (* n PI) in n 98.548 * [taylor]: Taking taylor expansion of n in n 98.548 * [backup-simplify]: Simplify 0 into 0 98.548 * [backup-simplify]: Simplify 1 into 1 98.548 * [taylor]: Taking taylor expansion of PI in n 98.548 * [backup-simplify]: Simplify PI into PI 98.548 * [backup-simplify]: Simplify (* 0 PI) into 0 98.548 * [backup-simplify]: Simplify (* 2 0) into 0 98.550 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 98.551 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 98.552 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 98.552 * [backup-simplify]: Simplify (- k) into (- k) 98.552 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 98.553 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 98.554 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 98.555 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 98.556 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 98.556 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 98.556 * [taylor]: Taking taylor expansion of (/ 1 k) in n 98.556 * [taylor]: Taking taylor expansion of k in n 98.556 * [backup-simplify]: Simplify k into k 98.556 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 98.557 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 98.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 98.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 98.557 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 98.557 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 98.557 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 98.557 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 98.557 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 98.557 * [taylor]: Taking taylor expansion of 1/2 in n 98.557 * [backup-simplify]: Simplify 1/2 into 1/2 98.557 * [taylor]: Taking taylor expansion of (- 1 k) in n 98.557 * [taylor]: Taking taylor expansion of 1 in n 98.557 * [backup-simplify]: Simplify 1 into 1 98.557 * [taylor]: Taking taylor expansion of k in n 98.557 * [backup-simplify]: Simplify k into k 98.557 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 98.557 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 98.557 * [taylor]: Taking taylor expansion of 2 in n 98.557 * [backup-simplify]: Simplify 2 into 2 98.557 * [taylor]: Taking taylor expansion of (* n PI) in n 98.557 * [taylor]: Taking taylor expansion of n in n 98.557 * [backup-simplify]: Simplify 0 into 0 98.557 * [backup-simplify]: Simplify 1 into 1 98.557 * [taylor]: Taking taylor expansion of PI in n 98.557 * [backup-simplify]: Simplify PI into PI 98.558 * [backup-simplify]: Simplify (* 0 PI) into 0 98.558 * [backup-simplify]: Simplify (* 2 0) into 0 98.560 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 98.561 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 98.562 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 98.562 * [backup-simplify]: Simplify (- k) into (- k) 98.562 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 98.562 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 98.564 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 98.565 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 98.566 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 98.566 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 98.566 * [taylor]: Taking taylor expansion of (/ 1 k) in n 98.566 * [taylor]: Taking taylor expansion of k in n 98.566 * [backup-simplify]: Simplify k into k 98.566 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 98.566 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 98.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 98.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 98.567 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) 98.568 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 98.568 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 98.568 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 98.568 * [taylor]: Taking taylor expansion of 1/2 in k 98.568 * [backup-simplify]: Simplify 1/2 into 1/2 98.568 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 98.568 * [taylor]: Taking taylor expansion of (- 1 k) in k 98.568 * [taylor]: Taking taylor expansion of 1 in k 98.568 * [backup-simplify]: Simplify 1 into 1 98.568 * [taylor]: Taking taylor expansion of k in k 98.568 * [backup-simplify]: Simplify 0 into 0 98.568 * [backup-simplify]: Simplify 1 into 1 98.568 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 98.568 * [taylor]: Taking taylor expansion of (log n) in k 98.568 * [taylor]: Taking taylor expansion of n in k 98.568 * [backup-simplify]: Simplify n into n 98.568 * [backup-simplify]: Simplify (log n) into (log n) 98.568 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 98.568 * [taylor]: Taking taylor expansion of (* 2 PI) in k 98.568 * [taylor]: Taking taylor expansion of 2 in k 98.568 * [backup-simplify]: Simplify 2 into 2 98.568 * [taylor]: Taking taylor expansion of PI in k 98.568 * [backup-simplify]: Simplify PI into PI 98.569 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 98.570 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 98.570 * [backup-simplify]: Simplify (- 0) into 0 98.570 * [backup-simplify]: Simplify (+ 1 0) into 1 98.572 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 98.573 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 98.574 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 98.575 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 98.575 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 98.575 * [taylor]: Taking taylor expansion of (/ 1 k) in k 98.575 * [taylor]: Taking taylor expansion of k in k 98.575 * [backup-simplify]: Simplify 0 into 0 98.575 * [backup-simplify]: Simplify 1 into 1 98.575 * [backup-simplify]: Simplify (/ 1 1) into 1 98.576 * [backup-simplify]: Simplify (sqrt 0) into 0 98.577 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 98.578 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 98.578 * [backup-simplify]: Simplify 0 into 0 98.579 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 98.580 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 98.582 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 98.582 * [backup-simplify]: Simplify (- 0) into 0 98.583 * [backup-simplify]: Simplify (+ 0 0) into 0 98.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 98.585 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 98.586 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 98.587 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 98.589 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 98.589 * [taylor]: Taking taylor expansion of 0 in k 98.589 * [backup-simplify]: Simplify 0 into 0 98.589 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 98.590 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 98.592 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 98.592 * [backup-simplify]: Simplify (+ 0 0) into 0 98.593 * [backup-simplify]: Simplify (- 1) into -1 98.593 * [backup-simplify]: Simplify (+ 0 -1) into -1 98.594 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 98.596 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 98.599 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 98.603 * [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))))))) 98.604 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 98.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 98.605 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 98.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 98.607 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 98.609 * [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 98.609 * [backup-simplify]: Simplify (- 0) into 0 98.609 * [backup-simplify]: Simplify (+ 0 0) into 0 98.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 98.611 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 98.611 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 98.613 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 98.614 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 98.614 * [taylor]: Taking taylor expansion of 0 in k 98.614 * [backup-simplify]: Simplify 0 into 0 98.614 * [backup-simplify]: Simplify 0 into 0 98.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 98.616 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 98.617 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 98.618 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 98.619 * [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 98.619 * [backup-simplify]: Simplify (+ 0 0) into 0 98.620 * [backup-simplify]: Simplify (- 0) into 0 98.620 * [backup-simplify]: Simplify (+ 0 0) into 0 98.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 98.622 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 98.625 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 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))))) 98.630 * [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)))))))) 98.632 * [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)))))))) 98.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 98.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 98.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 98.635 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 98.640 * [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 98.640 * [backup-simplify]: Simplify (- 0) into 0 98.641 * [backup-simplify]: Simplify (+ 0 0) into 0 98.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 98.643 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 98.645 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 98.647 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 98.648 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 98.648 * [taylor]: Taking taylor expansion of 0 in k 98.649 * [backup-simplify]: Simplify 0 into 0 98.649 * [backup-simplify]: Simplify 0 into 0 98.649 * [backup-simplify]: Simplify 0 into 0 98.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 98.653 * [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 98.654 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 98.657 * [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 98.657 * [backup-simplify]: Simplify (+ 0 0) into 0 98.657 * [backup-simplify]: Simplify (- 0) into 0 98.658 * [backup-simplify]: Simplify (+ 0 0) into 0 98.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 98.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 98.664 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 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))))))) 98.673 * [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)))))))))))))) 98.682 * [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)))))))))))))) 98.700 * [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)))))))))))))))))))))) 98.701 * [backup-simplify]: Simplify (/ (/ (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 98.701 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 98.701 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 98.701 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 98.701 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 98.701 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 98.701 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 98.702 * [taylor]: Taking taylor expansion of 1/2 in k 98.702 * [backup-simplify]: Simplify 1/2 into 1/2 98.702 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 98.702 * [taylor]: Taking taylor expansion of 1 in k 98.702 * [backup-simplify]: Simplify 1 into 1 98.702 * [taylor]: Taking taylor expansion of (/ 1 k) in k 98.702 * [taylor]: Taking taylor expansion of k in k 98.702 * [backup-simplify]: Simplify 0 into 0 98.702 * [backup-simplify]: Simplify 1 into 1 98.702 * [backup-simplify]: Simplify (/ 1 1) into 1 98.702 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 98.702 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 98.702 * [taylor]: Taking taylor expansion of 2 in k 98.702 * [backup-simplify]: Simplify 2 into 2 98.702 * [taylor]: Taking taylor expansion of (/ PI n) in k 98.702 * [taylor]: Taking taylor expansion of PI in k 98.702 * [backup-simplify]: Simplify PI into PI 98.702 * [taylor]: Taking taylor expansion of n in k 98.702 * [backup-simplify]: Simplify n into n 98.702 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 98.703 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 98.703 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 98.703 * [backup-simplify]: Simplify (- 1) into -1 98.703 * [backup-simplify]: Simplify (+ 0 -1) into -1 98.704 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 98.704 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 98.704 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 98.704 * [taylor]: Taking taylor expansion of (sqrt k) in k 98.704 * [taylor]: Taking taylor expansion of k in k 98.704 * [backup-simplify]: Simplify 0 into 0 98.704 * [backup-simplify]: Simplify 1 into 1 98.705 * [backup-simplify]: Simplify (sqrt 0) into 0 98.706 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 98.706 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 98.706 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 98.706 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 98.706 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 98.706 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 98.706 * [taylor]: Taking taylor expansion of 1/2 in n 98.706 * [backup-simplify]: Simplify 1/2 into 1/2 98.706 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 98.706 * [taylor]: Taking taylor expansion of 1 in n 98.706 * [backup-simplify]: Simplify 1 into 1 98.706 * [taylor]: Taking taylor expansion of (/ 1 k) in n 98.706 * [taylor]: Taking taylor expansion of k in n 98.706 * [backup-simplify]: Simplify k into k 98.707 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 98.707 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 98.707 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 98.707 * [taylor]: Taking taylor expansion of 2 in n 98.707 * [backup-simplify]: Simplify 2 into 2 98.707 * [taylor]: Taking taylor expansion of (/ PI n) in n 98.707 * [taylor]: Taking taylor expansion of PI in n 98.707 * [backup-simplify]: Simplify PI into PI 98.707 * [taylor]: Taking taylor expansion of n in n 98.707 * [backup-simplify]: Simplify 0 into 0 98.707 * [backup-simplify]: Simplify 1 into 1 98.707 * [backup-simplify]: Simplify (/ PI 1) into PI 98.708 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 98.709 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 98.709 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 98.709 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 98.709 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 98.710 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 98.711 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 98.712 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 98.712 * [taylor]: Taking taylor expansion of (sqrt k) in n 98.712 * [taylor]: Taking taylor expansion of k in n 98.712 * [backup-simplify]: Simplify k into k 98.713 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 98.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 98.713 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 98.713 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 98.713 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 98.713 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 98.713 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 98.713 * [taylor]: Taking taylor expansion of 1/2 in n 98.713 * [backup-simplify]: Simplify 1/2 into 1/2 98.713 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 98.713 * [taylor]: Taking taylor expansion of 1 in n 98.713 * [backup-simplify]: Simplify 1 into 1 98.713 * [taylor]: Taking taylor expansion of (/ 1 k) in n 98.713 * [taylor]: Taking taylor expansion of k in n 98.713 * [backup-simplify]: Simplify k into k 98.713 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 98.713 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 98.713 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 98.713 * [taylor]: Taking taylor expansion of 2 in n 98.713 * [backup-simplify]: Simplify 2 into 2 98.713 * [taylor]: Taking taylor expansion of (/ PI n) in n 98.713 * [taylor]: Taking taylor expansion of PI in n 98.713 * [backup-simplify]: Simplify PI into PI 98.713 * [taylor]: Taking taylor expansion of n in n 98.713 * [backup-simplify]: Simplify 0 into 0 98.713 * [backup-simplify]: Simplify 1 into 1 98.714 * [backup-simplify]: Simplify (/ PI 1) into PI 98.714 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 98.715 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 98.715 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 98.715 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 98.716 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 98.717 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 98.718 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 98.719 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 98.719 * [taylor]: Taking taylor expansion of (sqrt k) in n 98.719 * [taylor]: Taking taylor expansion of k in n 98.719 * [backup-simplify]: Simplify k into k 98.719 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 98.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 98.720 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) 98.720 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 98.721 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 98.721 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 98.721 * [taylor]: Taking taylor expansion of 1/2 in k 98.721 * [backup-simplify]: Simplify 1/2 into 1/2 98.721 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 98.721 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 98.721 * [taylor]: Taking taylor expansion of 1 in k 98.721 * [backup-simplify]: Simplify 1 into 1 98.721 * [taylor]: Taking taylor expansion of (/ 1 k) in k 98.721 * [taylor]: Taking taylor expansion of k in k 98.721 * [backup-simplify]: Simplify 0 into 0 98.721 * [backup-simplify]: Simplify 1 into 1 98.721 * [backup-simplify]: Simplify (/ 1 1) into 1 98.721 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 98.721 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 98.721 * [taylor]: Taking taylor expansion of (* 2 PI) in k 98.721 * [taylor]: Taking taylor expansion of 2 in k 98.721 * [backup-simplify]: Simplify 2 into 2 98.721 * [taylor]: Taking taylor expansion of PI in k 98.721 * [backup-simplify]: Simplify PI into PI 98.722 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 98.723 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 98.723 * [taylor]: Taking taylor expansion of (log n) in k 98.723 * [taylor]: Taking taylor expansion of n in k 98.723 * [backup-simplify]: Simplify n into n 98.723 * [backup-simplify]: Simplify (log n) into (log n) 98.723 * [backup-simplify]: Simplify (- 1) into -1 98.724 * [backup-simplify]: Simplify (+ 0 -1) into -1 98.724 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 98.725 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 98.726 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 98.727 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 98.728 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 98.728 * [taylor]: Taking taylor expansion of (sqrt k) in k 98.728 * [taylor]: Taking taylor expansion of k in k 98.728 * [backup-simplify]: Simplify 0 into 0 98.728 * [backup-simplify]: Simplify 1 into 1 98.728 * [backup-simplify]: Simplify (sqrt 0) into 0 98.730 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 98.731 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 98.731 * [backup-simplify]: Simplify 0 into 0 98.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 98.733 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 98.734 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 98.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 98.735 * [backup-simplify]: Simplify (- 0) into 0 98.735 * [backup-simplify]: Simplify (+ 0 0) into 0 98.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 98.737 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 98.739 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 98.741 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 98.742 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 98.742 * [taylor]: Taking taylor expansion of 0 in k 98.742 * [backup-simplify]: Simplify 0 into 0 98.742 * [backup-simplify]: Simplify 0 into 0 98.744 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 98.745 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 98.746 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 98.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.747 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 98.751 * [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 98.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 98.754 * [backup-simplify]: Simplify (- 0) into 0 98.754 * [backup-simplify]: Simplify (+ 0 0) into 0 98.755 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 98.757 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 98.758 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 98.761 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 98.762 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 98.762 * [taylor]: Taking taylor expansion of 0 in k 98.762 * [backup-simplify]: Simplify 0 into 0 98.762 * [backup-simplify]: Simplify 0 into 0 98.762 * [backup-simplify]: Simplify 0 into 0 98.765 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 98.767 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 98.768 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 98.769 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 98.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.771 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 98.777 * [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 98.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 98.778 * [backup-simplify]: Simplify (- 0) into 0 98.778 * [backup-simplify]: Simplify (+ 0 0) into 0 98.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 98.781 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 98.782 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 98.785 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 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 98.788 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 98.788 * [taylor]: Taking taylor expansion of 0 in k 98.788 * [backup-simplify]: Simplify 0 into 0 98.788 * [backup-simplify]: Simplify 0 into 0 98.788 * [backup-simplify]: Simplify 0 into 0 98.788 * [backup-simplify]: Simplify 0 into 0 98.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 98.794 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 98.795 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 98.799 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 98.800 * [backup-simplify]: Simplify (/ (/ (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k))))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 98.800 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 98.800 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 98.800 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 98.800 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 98.800 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 98.800 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 98.800 * [taylor]: Taking taylor expansion of 1/2 in k 98.800 * [backup-simplify]: Simplify 1/2 into 1/2 98.800 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 98.800 * [taylor]: Taking taylor expansion of (/ 1 k) in k 98.800 * [taylor]: Taking taylor expansion of k in k 98.801 * [backup-simplify]: Simplify 0 into 0 98.801 * [backup-simplify]: Simplify 1 into 1 98.801 * [backup-simplify]: Simplify (/ 1 1) into 1 98.801 * [taylor]: Taking taylor expansion of 1 in k 98.801 * [backup-simplify]: Simplify 1 into 1 98.801 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 98.801 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 98.801 * [taylor]: Taking taylor expansion of -2 in k 98.801 * [backup-simplify]: Simplify -2 into -2 98.801 * [taylor]: Taking taylor expansion of (/ PI n) in k 98.801 * [taylor]: Taking taylor expansion of PI in k 98.801 * [backup-simplify]: Simplify PI into PI 98.801 * [taylor]: Taking taylor expansion of n in k 98.801 * [backup-simplify]: Simplify n into n 98.801 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 98.801 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 98.801 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 98.802 * [backup-simplify]: Simplify (+ 1 0) into 1 98.802 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 98.802 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 98.803 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 98.803 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 98.803 * [taylor]: Taking taylor expansion of (/ -1 k) in k 98.803 * [taylor]: Taking taylor expansion of -1 in k 98.803 * [backup-simplify]: Simplify -1 into -1 98.803 * [taylor]: Taking taylor expansion of k in k 98.803 * [backup-simplify]: Simplify 0 into 0 98.803 * [backup-simplify]: Simplify 1 into 1 98.803 * [backup-simplify]: Simplify (/ -1 1) into -1 98.804 * [backup-simplify]: Simplify (sqrt 0) into 0 98.805 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 98.805 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 98.805 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 98.805 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 98.805 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 98.805 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 98.805 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 98.805 * [taylor]: Taking taylor expansion of 1/2 in n 98.806 * [backup-simplify]: Simplify 1/2 into 1/2 98.806 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 98.806 * [taylor]: Taking taylor expansion of (/ 1 k) in n 98.806 * [taylor]: Taking taylor expansion of k in n 98.806 * [backup-simplify]: Simplify k into k 98.806 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 98.806 * [taylor]: Taking taylor expansion of 1 in n 98.806 * [backup-simplify]: Simplify 1 into 1 98.806 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 98.806 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 98.806 * [taylor]: Taking taylor expansion of -2 in n 98.806 * [backup-simplify]: Simplify -2 into -2 98.806 * [taylor]: Taking taylor expansion of (/ PI n) in n 98.806 * [taylor]: Taking taylor expansion of PI in n 98.806 * [backup-simplify]: Simplify PI into PI 98.806 * [taylor]: Taking taylor expansion of n in n 98.806 * [backup-simplify]: Simplify 0 into 0 98.806 * [backup-simplify]: Simplify 1 into 1 98.806 * [backup-simplify]: Simplify (/ PI 1) into PI 98.807 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 98.808 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 98.808 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 98.808 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 98.809 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 98.810 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 98.812 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 98.812 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 98.812 * [taylor]: Taking taylor expansion of (/ -1 k) in n 98.812 * [taylor]: Taking taylor expansion of -1 in n 98.812 * [backup-simplify]: Simplify -1 into -1 98.812 * [taylor]: Taking taylor expansion of k in n 98.812 * [backup-simplify]: Simplify k into k 98.812 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 98.812 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 98.812 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 98.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 98.813 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 98.813 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 98.813 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 98.813 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 98.813 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 98.813 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 98.814 * [taylor]: Taking taylor expansion of 1/2 in n 98.814 * [backup-simplify]: Simplify 1/2 into 1/2 98.814 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 98.814 * [taylor]: Taking taylor expansion of (/ 1 k) in n 98.814 * [taylor]: Taking taylor expansion of k in n 98.814 * [backup-simplify]: Simplify k into k 98.814 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 98.814 * [taylor]: Taking taylor expansion of 1 in n 98.814 * [backup-simplify]: Simplify 1 into 1 98.814 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 98.814 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 98.814 * [taylor]: Taking taylor expansion of -2 in n 98.814 * [backup-simplify]: Simplify -2 into -2 98.814 * [taylor]: Taking taylor expansion of (/ PI n) in n 98.814 * [taylor]: Taking taylor expansion of PI in n 98.814 * [backup-simplify]: Simplify PI into PI 98.814 * [taylor]: Taking taylor expansion of n in n 98.814 * [backup-simplify]: Simplify 0 into 0 98.814 * [backup-simplify]: Simplify 1 into 1 98.814 * [backup-simplify]: Simplify (/ PI 1) into PI 98.815 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 98.816 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 98.816 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 98.816 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 98.817 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 98.818 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 98.820 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 98.820 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 98.820 * [taylor]: Taking taylor expansion of (/ -1 k) in n 98.820 * [taylor]: Taking taylor expansion of -1 in n 98.820 * [backup-simplify]: Simplify -1 into -1 98.820 * [taylor]: Taking taylor expansion of k in n 98.820 * [backup-simplify]: Simplify k into k 98.820 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 98.820 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 98.820 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 98.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 98.821 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 98.821 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 98.821 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 98.821 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 98.821 * [taylor]: Taking taylor expansion of 1/2 in k 98.821 * [backup-simplify]: Simplify 1/2 into 1/2 98.821 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 98.822 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 98.822 * [taylor]: Taking taylor expansion of (/ 1 k) in k 98.822 * [taylor]: Taking taylor expansion of k in k 98.822 * [backup-simplify]: Simplify 0 into 0 98.822 * [backup-simplify]: Simplify 1 into 1 98.822 * [backup-simplify]: Simplify (/ 1 1) into 1 98.822 * [taylor]: Taking taylor expansion of 1 in k 98.822 * [backup-simplify]: Simplify 1 into 1 98.822 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 98.822 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 98.822 * [taylor]: Taking taylor expansion of (* -2 PI) in k 98.822 * [taylor]: Taking taylor expansion of -2 in k 98.822 * [backup-simplify]: Simplify -2 into -2 98.822 * [taylor]: Taking taylor expansion of PI in k 98.822 * [backup-simplify]: Simplify PI into PI 98.823 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 98.824 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 98.824 * [taylor]: Taking taylor expansion of (log n) in k 98.824 * [taylor]: Taking taylor expansion of n in k 98.824 * [backup-simplify]: Simplify n into n 98.824 * [backup-simplify]: Simplify (log n) into (log n) 98.824 * [backup-simplify]: Simplify (+ 1 0) into 1 98.824 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 98.825 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 98.826 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 98.827 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 98.828 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 98.828 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 98.828 * [taylor]: Taking taylor expansion of (/ -1 k) in k 98.828 * [taylor]: Taking taylor expansion of -1 in k 98.828 * [backup-simplify]: Simplify -1 into -1 98.829 * [taylor]: Taking taylor expansion of k in k 98.829 * [backup-simplify]: Simplify 0 into 0 98.829 * [backup-simplify]: Simplify 1 into 1 98.829 * [backup-simplify]: Simplify (/ -1 1) into -1 98.829 * [backup-simplify]: Simplify (sqrt 0) into 0 98.831 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 98.832 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 98.833 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 98.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 98.835 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 98.836 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 98.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 98.836 * [backup-simplify]: Simplify (+ 0 0) into 0 98.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 98.837 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 98.838 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 98.839 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 98.840 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 98.840 * [taylor]: Taking taylor expansion of 0 in k 98.840 * [backup-simplify]: Simplify 0 into 0 98.840 * [backup-simplify]: Simplify 0 into 0 98.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 98.842 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 98.843 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 98.844 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 98.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.845 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 98.847 * [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 98.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 98.847 * [backup-simplify]: Simplify (+ 0 0) into 0 98.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 98.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 98.849 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 98.851 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 98.851 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 98.851 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 98.852 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 98.852 * [taylor]: Taking taylor expansion of 0 in k 98.852 * [backup-simplify]: Simplify 0 into 0 98.852 * [backup-simplify]: Simplify 0 into 0 98.852 * [backup-simplify]: Simplify 0 into 0 98.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 98.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 98.857 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 98.858 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 98.860 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 98.860 * * * [progress]: simplifying candidates 98.860 * * * * [progress]: [ 1 / 667 ] simplifiying candidate # 98.861 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 98.861 * * [simplify]: iters left: 6 (13 enodes) 98.865 * * [simplify]: iters left: 5 (54 enodes) 98.886 * * [simplify]: iters left: 4 (97 enodes) 98.913 * * [simplify]: iters left: 3 (244 enodes) 99.026 * * [simplify]: Extracting #0: cost 1 inf + 0 99.026 * * [simplify]: Extracting #1: cost 32 inf + 0 99.027 * * [simplify]: Extracting #2: cost 126 inf + 2 99.028 * * [simplify]: Extracting #3: cost 173 inf + 75 99.030 * * [simplify]: Extracting #4: cost 127 inf + 6635 99.041 * * [simplify]: Extracting #5: cost 15 inf + 36816 99.056 * * [simplify]: Extracting #6: cost 0 inf + 41489 99.070 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 99.070 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 99.070 * * * * [progress]: [ 2 / 667 ] simplifiying candidate # 99.071 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 99.071 * * [simplify]: iters left: 6 (12 enodes) 99.075 * * [simplify]: iters left: 5 (52 enodes) 99.084 * * [simplify]: iters left: 4 (90 enodes) 99.101 * * [simplify]: iters left: 3 (203 enodes) 99.175 * * [simplify]: Extracting #0: cost 1 inf + 0 99.175 * * [simplify]: Extracting #1: cost 29 inf + 0 99.175 * * [simplify]: Extracting #2: cost 112 inf + 2 99.176 * * [simplify]: Extracting #3: cost 149 inf + 341 99.179 * * [simplify]: Extracting #4: cost 110 inf + 5554 99.186 * * [simplify]: Extracting #5: cost 30 inf + 23496 99.197 * * [simplify]: Extracting #6: cost 1 inf + 31878 99.208 * * [simplify]: Extracting #7: cost 0 inf + 32142 99.214 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 99.214 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 99.214 * * * * [progress]: [ 3 / 667 ] simplifiying candidate # 99.214 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 99.214 * * [simplify]: iters left: 6 (11 enodes) 99.218 * * [simplify]: iters left: 5 (51 enodes) 99.226 * * [simplify]: iters left: 4 (97 enodes) 99.251 * * [simplify]: iters left: 3 (199 enodes) 99.305 * * [simplify]: Extracting #0: cost 1 inf + 0 99.305 * * [simplify]: Extracting #1: cost 32 inf + 0 99.306 * * [simplify]: Extracting #2: cost 113 inf + 2 99.306 * * [simplify]: Extracting #3: cost 154 inf + 200 99.307 * * [simplify]: Extracting #4: cost 123 inf + 3386 99.310 * * [simplify]: Extracting #5: cost 47 inf + 17339 99.315 * * [simplify]: Extracting #6: cost 3 inf + 27690 99.326 * * [simplify]: Extracting #7: cost 0 inf + 28612 99.337 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 99.337 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 99.337 * * * * [progress]: [ 4 / 667 ] simplifiying candidate # 99.338 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 99.338 * * [simplify]: iters left: 6 (11 enodes) 99.344 * * [simplify]: iters left: 5 (51 enodes) 99.362 * * [simplify]: iters left: 4 (97 enodes) 99.395 * * [simplify]: iters left: 3 (199 enodes) 99.458 * * [simplify]: Extracting #0: cost 1 inf + 0 99.458 * * [simplify]: Extracting #1: cost 32 inf + 0 99.458 * * [simplify]: Extracting #2: cost 113 inf + 2 99.459 * * [simplify]: Extracting #3: cost 154 inf + 200 99.460 * * [simplify]: Extracting #4: cost 123 inf + 3386 99.462 * * [simplify]: Extracting #5: cost 47 inf + 17339 99.468 * * [simplify]: Extracting #6: cost 3 inf + 27690 99.474 * * [simplify]: Extracting #7: cost 0 inf + 28612 99.479 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 99.479 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 99.479 * * * * [progress]: [ 5 / 667 ] simplifiying candidate # 99.480 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 99.480 * * [simplify]: iters left: 6 (6 enodes) 99.482 * * [simplify]: iters left: 5 (27 enodes) 99.491 * * [simplify]: iters left: 4 (47 enodes) 99.502 * * [simplify]: iters left: 3 (59 enodes) 99.520 * * [simplify]: iters left: 2 (77 enodes) 99.543 * * [simplify]: iters left: 1 (104 enodes) 99.565 * * [simplify]: Extracting #0: cost 1 inf + 0 99.566 * * [simplify]: Extracting #1: cost 9 inf + 0 99.566 * * [simplify]: Extracting #2: cost 18 inf + 3 99.566 * * [simplify]: Extracting #3: cost 15 inf + 131 99.566 * * [simplify]: Extracting #4: cost 2 inf + 962 99.566 * * [simplify]: Extracting #5: cost 0 inf + 1086 99.567 * [simplify]: Simplified to (* 1/2 (- 1 k)) 99.567 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 99.567 * * * * [progress]: [ 6 / 667 ] simplifiying candidate # 99.567 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 99.567 * * [simplify]: iters left: 6 (6 enodes) 99.570 * * [simplify]: iters left: 5 (27 enodes) 99.575 * * [simplify]: iters left: 4 (47 enodes) 99.582 * * [simplify]: iters left: 3 (59 enodes) 99.591 * * [simplify]: iters left: 2 (77 enodes) 99.610 * * [simplify]: iters left: 1 (104 enodes) 99.623 * * [simplify]: Extracting #0: cost 1 inf + 0 99.623 * * [simplify]: Extracting #1: cost 9 inf + 0 99.623 * * [simplify]: Extracting #2: cost 18 inf + 3 99.623 * * [simplify]: Extracting #3: cost 15 inf + 131 99.623 * * [simplify]: Extracting #4: cost 2 inf + 962 99.624 * * [simplify]: Extracting #5: cost 0 inf + 1086 99.624 * [simplify]: Simplified to (* 1/2 (- 1 k)) 99.624 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 99.624 * * * * [progress]: [ 7 / 667 ] simplifiying candidate # 99.624 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 99.625 * * [simplify]: iters left: 6 (6 enodes) 99.627 * * [simplify]: iters left: 5 (27 enodes) 99.632 * * [simplify]: iters left: 4 (47 enodes) 99.640 * * [simplify]: iters left: 3 (59 enodes) 99.657 * * [simplify]: iters left: 2 (77 enodes) 99.676 * * [simplify]: iters left: 1 (104 enodes) 99.689 * * [simplify]: Extracting #0: cost 1 inf + 0 99.689 * * [simplify]: Extracting #1: cost 9 inf + 0 99.691 * * [simplify]: Extracting #2: cost 18 inf + 3 99.691 * * [simplify]: Extracting #3: cost 15 inf + 131 99.691 * * [simplify]: Extracting #4: cost 2 inf + 962 99.691 * * [simplify]: Extracting #5: cost 0 inf + 1086 99.692 * [simplify]: Simplified to (* 1/2 (- 1 k)) 99.692 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 99.692 * * * * [progress]: [ 8 / 667 ] simplifiying candidate # 99.692 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 99.692 * * [simplify]: iters left: 5 (8 enodes) 99.696 * * [simplify]: iters left: 4 (35 enodes) 99.704 * * [simplify]: iters left: 3 (63 enodes) 99.726 * * [simplify]: iters left: 2 (108 enodes) 99.742 * * [simplify]: iters left: 1 (162 enodes) 99.784 * * [simplify]: Extracting #0: cost 1 inf + 0 99.784 * * [simplify]: Extracting #1: cost 14 inf + 0 99.784 * * [simplify]: Extracting #2: cost 44 inf + 2 99.785 * * [simplify]: Extracting #3: cost 39 inf + 94 99.786 * * [simplify]: Extracting #4: cost 24 inf + 2779 99.788 * * [simplify]: Extracting #5: cost 3 inf + 12838 99.792 * * [simplify]: Extracting #6: cost 0 inf + 14804 99.796 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 99.796 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (/ (sqrt (* (* PI 2) n)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 99.796 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 99.796 * * [simplify]: iters left: 5 (8 enodes) 99.803 * * [simplify]: iters left: 4 (31 enodes) 99.813 * * [simplify]: iters left: 3 (51 enodes) 99.829 * * [simplify]: iters left: 2 (85 enodes) 99.857 * * [simplify]: iters left: 1 (152 enodes) 99.899 * * [simplify]: Extracting #0: cost 1 inf + 0 99.899 * * [simplify]: Extracting #1: cost 13 inf + 0 99.900 * * [simplify]: Extracting #2: cost 59 inf + 1 99.900 * * [simplify]: Extracting #3: cost 76 inf + 9 99.900 * * [simplify]: Extracting #4: cost 41 inf + 3303 99.902 * * [simplify]: Extracting #5: cost 16 inf + 10676 99.905 * * [simplify]: Extracting #6: cost 0 inf + 21028 99.908 * * [simplify]: Extracting #7: cost 0 inf + 20456 99.910 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 99.910 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (/ (/ (sqrt (* (* PI 2) n)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 99.910 * * * * [progress]: [ 9 / 667 ] simplifiying candidate # 99.911 * [simplify]: Simplifying (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 99.911 * * [simplify]: iters left: 6 (12 enodes) 99.918 * * [simplify]: iters left: 5 (51 enodes) 99.934 * * [simplify]: iters left: 4 (79 enodes) 99.959 * * [simplify]: iters left: 3 (118 enodes) 99.985 * * [simplify]: iters left: 2 (199 enodes) 100.042 * * [simplify]: iters left: 1 (360 enodes) 100.237 * * [simplify]: Extracting #0: cost 1 inf + 0 100.237 * * [simplify]: Extracting #1: cost 27 inf + 0 100.237 * * [simplify]: Extracting #2: cost 115 inf + 1 100.238 * * [simplify]: Extracting #3: cost 207 inf + 175 100.239 * * [simplify]: Extracting #4: cost 217 inf + 429 100.240 * * [simplify]: Extracting #5: cost 222 inf + 429 100.241 * * [simplify]: Extracting #6: cost 216 inf + 1004 100.245 * * [simplify]: Extracting #7: cost 107 inf + 27512 100.272 * * [simplify]: Extracting #8: cost 20 inf + 75005 100.311 * * [simplify]: Extracting #9: cost 0 inf + 91941 100.345 * * [simplify]: Extracting #10: cost 0 inf + 91455 100.367 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 100.367 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 100.367 * * * * [progress]: [ 10 / 667 ] simplifiying candidate # 100.368 * [simplify]: Simplifying (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) 100.368 * * [simplify]: iters left: 6 (11 enodes) 100.372 * * [simplify]: iters left: 5 (48 enodes) 100.387 * * [simplify]: iters left: 4 (74 enodes) 100.410 * * [simplify]: iters left: 3 (105 enodes) 100.443 * * [simplify]: iters left: 2 (161 enodes) 100.494 * * [simplify]: iters left: 1 (278 enodes) 100.619 * * [simplify]: Extracting #0: cost 1 inf + 0 100.619 * * [simplify]: Extracting #1: cost 29 inf + 0 100.620 * * [simplify]: Extracting #2: cost 105 inf + 1 100.621 * * [simplify]: Extracting #3: cost 135 inf + 174 100.622 * * [simplify]: Extracting #4: cost 134 inf + 388 100.623 * * [simplify]: Extracting #5: cost 131 inf + 556 100.627 * * [simplify]: Extracting #6: cost 91 inf + 9824 100.637 * * [simplify]: Extracting #7: cost 47 inf + 29501 100.649 * * [simplify]: Extracting #8: cost 4 inf + 67518 100.663 * * [simplify]: Extracting #9: cost 0 inf + 71195 100.691 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) 100.691 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 100.692 * * * * [progress]: [ 11 / 667 ] simplifiying candidate # 100.692 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) 100.692 * * [simplify]: iters left: 6 (14 enodes) 100.700 * * [simplify]: iters left: 5 (59 enodes) 100.719 * * [simplify]: iters left: 4 (104 enodes) 100.739 * * [simplify]: iters left: 3 (186 enodes) 100.796 * * [simplify]: iters left: 2 (434 enodes) 101.084 * * [simplify]: Extracting #0: cost 1 inf + 0 101.085 * * [simplify]: Extracting #1: cost 12 inf + 0 101.085 * * [simplify]: Extracting #2: cost 111 inf + 1 101.087 * * [simplify]: Extracting #3: cost 232 inf + 215 101.090 * * [simplify]: Extracting #4: cost 231 inf + 1718 101.097 * * [simplify]: Extracting #5: cost 169 inf + 16571 101.117 * * [simplify]: Extracting #6: cost 40 inf + 55999 101.144 * * [simplify]: Extracting #7: cost 18 inf + 67518 101.175 * * [simplify]: Extracting #8: cost 0 inf + 84772 101.212 * * [simplify]: Extracting #9: cost 0 inf + 84654 101.243 * * [simplify]: Extracting #10: cost 0 inf + 84576 101.274 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 101.274 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 101.274 * * * * [progress]: [ 12 / 667 ] simplifiying candidate # 101.275 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) 101.275 * * [simplify]: iters left: 6 (13 enodes) 101.282 * * [simplify]: iters left: 5 (52 enodes) 101.299 * * [simplify]: iters left: 4 (82 enodes) 101.313 * * [simplify]: iters left: 3 (136 enodes) 101.338 * * [simplify]: iters left: 2 (272 enodes) 101.425 * * [simplify]: Extracting #0: cost 1 inf + 0 101.425 * * [simplify]: Extracting #1: cost 12 inf + 0 101.425 * * [simplify]: Extracting #2: cost 87 inf + 1 101.425 * * [simplify]: Extracting #3: cost 151 inf + 6 101.426 * * [simplify]: Extracting #4: cost 144 inf + 992 101.427 * * [simplify]: Extracting #5: cost 131 inf + 2339 101.430 * * [simplify]: Extracting #6: cost 59 inf + 21693 101.438 * * [simplify]: Extracting #7: cost 9 inf + 46808 101.448 * * [simplify]: Extracting #8: cost 0 inf + 55030 101.464 * * [simplify]: Extracting #9: cost 0 inf + 54610 101.483 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) 101.484 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 101.484 * * * * [progress]: [ 13 / 667 ] simplifiying candidate # 101.484 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 101.484 * * [simplify]: iters left: 6 (12 enodes) 101.491 * * [simplify]: iters left: 5 (47 enodes) 101.509 * * [simplify]: iters left: 4 (83 enodes) 101.521 * * [simplify]: iters left: 3 (123 enodes) 101.543 * * [simplify]: iters left: 2 (221 enodes) 101.633 * * [simplify]: iters left: 1 (477 enodes) 102.001 * * [simplify]: Extracting #0: cost 1 inf + 0 102.001 * * [simplify]: Extracting #1: cost 35 inf + 0 102.001 * * [simplify]: Extracting #2: cost 138 inf + 1 102.002 * * [simplify]: Extracting #3: cost 228 inf + 136 102.003 * * [simplify]: Extracting #4: cost 229 inf + 431 102.005 * * [simplify]: Extracting #5: cost 217 inf + 2424 102.011 * * [simplify]: Extracting #6: cost 111 inf + 29660 102.025 * * [simplify]: Extracting #7: cost 11 inf + 91583 102.063 * * [simplify]: Extracting #8: cost 0 inf + 104455 102.105 * * [simplify]: Extracting #9: cost 0 inf + 104205 102.124 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) 102.124 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 102.124 * * * * [progress]: [ 14 / 667 ] simplifiying candidate # 102.124 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 102.124 * * [simplify]: iters left: 6 (13 enodes) 102.128 * * [simplify]: iters left: 5 (52 enodes) 102.139 * * [simplify]: iters left: 4 (80 enodes) 102.164 * * [simplify]: iters left: 3 (128 enodes) 102.209 * * [simplify]: iters left: 2 (246 enodes) 102.267 * * [simplify]: iters left: 1 (493 enodes) 102.646 * * [simplify]: Extracting #0: cost 1 inf + 0 102.646 * * [simplify]: Extracting #1: cost 31 inf + 0 102.650 * * [simplify]: Extracting #2: cost 206 inf + 1 102.652 * * [simplify]: Extracting #3: cost 425 inf + 2480 102.655 * * [simplify]: Extracting #4: cost 372 inf + 13330 102.659 * * [simplify]: Extracting #5: cost 360 inf + 14710 102.669 * * [simplify]: Extracting #6: cost 162 inf + 63449 102.689 * * [simplify]: Extracting #7: cost 30 inf + 126334 102.716 * * [simplify]: Extracting #8: cost 1 inf + 157531 102.759 * * [simplify]: Extracting #9: cost 0 inf + 158689 102.787 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 102.787 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 102.787 * * * * [progress]: [ 15 / 667 ] simplifiying candidate # 102.787 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) 102.788 * * [simplify]: iters left: 6 (12 enodes) 102.795 * * [simplify]: iters left: 5 (47 enodes) 102.805 * * [simplify]: iters left: 4 (71 enodes) 102.816 * * [simplify]: iters left: 3 (109 enodes) 102.843 * * [simplify]: iters left: 2 (192 enodes) 102.881 * * [simplify]: iters left: 1 (370 enodes) 103.105 * * [simplify]: Extracting #0: cost 1 inf + 0 103.105 * * [simplify]: Extracting #1: cost 29 inf + 0 103.105 * * [simplify]: Extracting #2: cost 139 inf + 1 103.106 * * [simplify]: Extracting #3: cost 266 inf + 174 103.107 * * [simplify]: Extracting #4: cost 252 inf + 1981 103.109 * * [simplify]: Extracting #5: cost 219 inf + 5566 103.111 * * [simplify]: Extracting #6: cost 214 inf + 6097 103.118 * * [simplify]: Extracting #7: cost 116 inf + 28010 103.143 * * [simplify]: Extracting #8: cost 19 inf + 79263 103.164 * * [simplify]: Extracting #9: cost 0 inf + 97892 103.187 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 103.187 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 103.187 * * * * [progress]: [ 16 / 667 ] simplifiying candidate # 103.188 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) 103.188 * * [simplify]: iters left: 6 (11 enodes) 103.194 * * [simplify]: iters left: 5 (42 enodes) 103.207 * * [simplify]: iters left: 4 (64 enodes) 103.218 * * [simplify]: iters left: 3 (98 enodes) 103.234 * * [simplify]: iters left: 2 (156 enodes) 103.286 * * [simplify]: iters left: 1 (280 enodes) 103.400 * * [simplify]: Extracting #0: cost 1 inf + 0 103.400 * * [simplify]: Extracting #1: cost 30 inf + 0 103.400 * * [simplify]: Extracting #2: cost 111 inf + 1 103.401 * * [simplify]: Extracting #3: cost 134 inf + 133 103.401 * * [simplify]: Extracting #4: cost 129 inf + 429 103.402 * * [simplify]: Extracting #5: cost 117 inf + 1953 103.406 * * [simplify]: Extracting #6: cost 58 inf + 26132 103.415 * * [simplify]: Extracting #7: cost 8 inf + 66348 103.426 * * [simplify]: Extracting #8: cost 0 inf + 71787 103.436 * * [simplify]: Extracting #9: cost 0 inf + 71708 103.455 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (- 1 k))) 103.455 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 103.455 * * * * [progress]: [ 17 / 667 ] simplifiying candidate # 103.455 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 103.455 * * [simplify]: iters left: 6 (10 enodes) 103.461 * * [simplify]: iters left: 5 (41 enodes) 103.475 * * [simplify]: iters left: 4 (66 enodes) 103.490 * * [simplify]: iters left: 3 (116 enodes) 103.513 * * [simplify]: iters left: 2 (219 enodes) 103.599 * * [simplify]: Extracting #0: cost 1 inf + 0 103.599 * * [simplify]: Extracting #1: cost 12 inf + 0 103.599 * * [simplify]: Extracting #2: cost 69 inf + 1 103.599 * * [simplify]: Extracting #3: cost 115 inf + 6 103.600 * * [simplify]: Extracting #4: cost 104 inf + 1247 103.602 * * [simplify]: Extracting #5: cost 56 inf + 11061 103.606 * * [simplify]: Extracting #6: cost 4 inf + 34062 103.612 * * [simplify]: Extracting #7: cost 0 inf + 35882 103.622 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 103.622 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 103.622 * * * * [progress]: [ 18 / 667 ] simplifiying candidate # 103.623 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 103.623 * * [simplify]: iters left: 5 (9 enodes) 103.628 * * [simplify]: iters left: 4 (36 enodes) 103.640 * * [simplify]: iters left: 3 (57 enodes) 103.664 * * [simplify]: iters left: 2 (96 enodes) 103.697 * * [simplify]: iters left: 1 (171 enodes) 103.758 * * [simplify]: Extracting #0: cost 1 inf + 0 103.759 * * [simplify]: Extracting #1: cost 12 inf + 0 103.759 * * [simplify]: Extracting #2: cost 50 inf + 1 103.759 * * [simplify]: Extracting #3: cost 75 inf + 6 103.760 * * [simplify]: Extracting #4: cost 59 inf + 1253 103.761 * * [simplify]: Extracting #5: cost 25 inf + 8058 103.764 * * [simplify]: Extracting #6: cost 3 inf + 20149 103.767 * * [simplify]: Extracting #7: cost 0 inf + 22178 103.771 * * [simplify]: Extracting #8: cost 0 inf + 22007 103.776 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 103.776 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 103.776 * * * * [progress]: [ 19 / 667 ] simplifiying candidate # 103.777 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 103.777 * * [simplify]: iters left: 5 (8 enodes) 103.780 * * [simplify]: iters left: 4 (34 enodes) 103.788 * * [simplify]: iters left: 3 (64 enodes) 103.809 * * [simplify]: iters left: 2 (105 enodes) 103.841 * * [simplify]: iters left: 1 (177 enodes) 103.896 * * [simplify]: Extracting #0: cost 1 inf + 0 103.896 * * [simplify]: Extracting #1: cost 17 inf + 0 103.896 * * [simplify]: Extracting #2: cost 34 inf + 46 103.896 * * [simplify]: Extracting #3: cost 26 inf + 466 103.897 * * [simplify]: Extracting #4: cost 11 inf + 6543 103.898 * * [simplify]: Extracting #5: cost 1 inf + 10885 103.899 * * [simplify]: Extracting #6: cost 0 inf + 11179 103.901 * [simplify]: Simplified to (* (* PI 2) n) 103.901 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 103.901 * * * * [progress]: [ 20 / 667 ] simplifiying candidate # 103.901 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) 103.901 * * [simplify]: iters left: 6 (14 enodes) 103.906 * * [simplify]: iters left: 5 (54 enodes) 103.921 * * [simplify]: iters left: 4 (79 enodes) 103.941 * * [simplify]: iters left: 3 (128 enodes) 103.964 * * [simplify]: iters left: 2 (254 enodes) 104.055 * * [simplify]: Extracting #0: cost 1 inf + 0 104.055 * * [simplify]: Extracting #1: cost 12 inf + 0 104.056 * * [simplify]: Extracting #2: cost 76 inf + 1 104.056 * * [simplify]: Extracting #3: cost 138 inf + 6 104.057 * * [simplify]: Extracting #4: cost 117 inf + 3214 104.058 * * [simplify]: Extracting #5: cost 98 inf + 5726 104.061 * * [simplify]: Extracting #6: cost 51 inf + 18620 104.070 * * [simplify]: Extracting #7: cost 10 inf + 39784 104.085 * * [simplify]: Extracting #8: cost 0 inf + 50138 104.105 * * [simplify]: Extracting #9: cost 0 inf + 49797 104.121 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 104.121 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 104.121 * * * * [progress]: [ 21 / 667 ] simplifiying candidate # 104.121 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) 104.121 * * [simplify]: iters left: 6 (13 enodes) 104.127 * * [simplify]: iters left: 5 (49 enodes) 104.134 * * [simplify]: iters left: 4 (70 enodes) 104.145 * * [simplify]: iters left: 3 (109 enodes) 104.175 * * [simplify]: iters left: 2 (197 enodes) 104.228 * * [simplify]: iters left: 1 (370 enodes) 104.421 * * [simplify]: Extracting #0: cost 1 inf + 0 104.421 * * [simplify]: Extracting #1: cost 28 inf + 0 104.421 * * [simplify]: Extracting #2: cost 150 inf + 1 104.422 * * [simplify]: Extracting #3: cost 242 inf + 301 104.423 * * [simplify]: Extracting #4: cost 245 inf + 553 104.425 * * [simplify]: Extracting #5: cost 208 inf + 4623 104.436 * * [simplify]: Extracting #6: cost 97 inf + 34974 104.471 * * [simplify]: Extracting #7: cost 10 inf + 85759 104.501 * * [simplify]: Extracting #8: cost 0 inf + 94394 104.523 * * [simplify]: Extracting #9: cost 0 inf + 90300 104.559 * * [simplify]: Extracting #10: cost 0 inf + 89488 104.587 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 104.587 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 104.587 * * * * [progress]: [ 22 / 667 ] simplifiying candidate # 104.587 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) 104.587 * * [simplify]: iters left: 6 (12 enodes) 104.592 * * [simplify]: iters left: 5 (44 enodes) 104.598 * * [simplify]: iters left: 4 (63 enodes) 104.620 * * [simplify]: iters left: 3 (96 enodes) 104.638 * * [simplify]: iters left: 2 (161 enodes) 104.683 * * [simplify]: iters left: 1 (288 enodes) 104.818 * * [simplify]: Extracting #0: cost 1 inf + 0 104.818 * * [simplify]: Extracting #1: cost 29 inf + 0 104.818 * * [simplify]: Extracting #2: cost 96 inf + 1 104.821 * * [simplify]: Extracting #3: cost 129 inf + 215 104.822 * * [simplify]: Extracting #4: cost 122 inf + 512 104.824 * * [simplify]: Extracting #5: cost 70 inf + 10943 104.831 * * [simplify]: Extracting #6: cost 29 inf + 36569 104.848 * * [simplify]: Extracting #7: cost 0 inf + 63057 104.865 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 104.866 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 104.866 * * * * [progress]: [ 23 / 667 ] simplifiying candidate # 104.866 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 104.866 * * [simplify]: iters left: 6 (13 enodes) 104.873 * * [simplify]: iters left: 5 (51 enodes) 104.889 * * [simplify]: iters left: 4 (76 enodes) 104.913 * * [simplify]: iters left: 3 (124 enodes) 104.937 * * [simplify]: iters left: 2 (250 enodes) 105.035 * * [simplify]: Extracting #0: cost 1 inf + 0 105.035 * * [simplify]: Extracting #1: cost 13 inf + 0 105.036 * * [simplify]: Extracting #2: cost 76 inf + 1 105.036 * * [simplify]: Extracting #3: cost 136 inf + 209 105.038 * * [simplify]: Extracting #4: cost 123 inf + 2644 105.040 * * [simplify]: Extracting #5: cost 99 inf + 5724 105.045 * * [simplify]: Extracting #6: cost 53 inf + 17456 105.051 * * [simplify]: Extracting #7: cost 9 inf + 40672 105.060 * * [simplify]: Extracting #8: cost 0 inf + 48738 105.068 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 105.068 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 105.068 * * * * [progress]: [ 24 / 667 ] simplifiying candidate # 105.068 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) 105.068 * * [simplify]: iters left: 6 (12 enodes) 105.072 * * [simplify]: iters left: 5 (46 enodes) 105.080 * * [simplify]: iters left: 4 (67 enodes) 105.092 * * [simplify]: iters left: 3 (106 enodes) 105.111 * * [simplify]: iters left: 2 (197 enodes) 105.157 * * [simplify]: iters left: 1 (374 enodes) 105.387 * * [simplify]: Extracting #0: cost 1 inf + 0 105.387 * * [simplify]: Extracting #1: cost 30 inf + 0 105.388 * * [simplify]: Extracting #2: cost 143 inf + 1 105.389 * * [simplify]: Extracting #3: cost 252 inf + 299 105.392 * * [simplify]: Extracting #4: cost 234 inf + 2830 105.396 * * [simplify]: Extracting #5: cost 202 inf + 7223 105.407 * * [simplify]: Extracting #6: cost 103 inf + 25697 105.427 * * [simplify]: Extracting #7: cost 36 inf + 61529 105.445 * * [simplify]: Extracting #8: cost 1 inf + 97588 105.473 * * [simplify]: Extracting #9: cost 0 inf + 97455 105.507 * * [simplify]: Extracting #10: cost 0 inf + 97044 105.531 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 105.531 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 105.531 * * * * [progress]: [ 25 / 667 ] simplifiying candidate # 105.531 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 105.531 * * [simplify]: iters left: 6 (11 enodes) 105.535 * * [simplify]: iters left: 5 (41 enodes) 105.543 * * [simplify]: iters left: 4 (60 enodes) 105.555 * * [simplify]: iters left: 3 (94 enodes) 105.585 * * [simplify]: iters left: 2 (156 enodes) 105.625 * * [simplify]: iters left: 1 (285 enodes) 105.757 * * [simplify]: Extracting #0: cost 1 inf + 0 105.757 * * [simplify]: Extracting #1: cost 29 inf + 0 105.757 * * [simplify]: Extracting #2: cost 102 inf + 1 105.758 * * [simplify]: Extracting #3: cost 133 inf + 216 105.759 * * [simplify]: Extracting #4: cost 126 inf + 512 105.761 * * [simplify]: Extracting #5: cost 70 inf + 19530 105.769 * * [simplify]: Extracting #6: cost 8 inf + 59419 105.778 * * [simplify]: Extracting #7: cost 0 inf + 65794 105.788 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 105.788 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 105.788 * * * * [progress]: [ 26 / 667 ] simplifiying candidate # 105.788 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 105.788 * * [simplify]: iters left: 6 (10 enodes) 105.792 * * [simplify]: iters left: 5 (41 enodes) 105.799 * * [simplify]: iters left: 4 (66 enodes) 105.811 * * [simplify]: iters left: 3 (116 enodes) 105.836 * * [simplify]: iters left: 2 (219 enodes) 105.937 * * [simplify]: Extracting #0: cost 1 inf + 0 105.937 * * [simplify]: Extracting #1: cost 12 inf + 0 105.937 * * [simplify]: Extracting #2: cost 69 inf + 1 105.938 * * [simplify]: Extracting #3: cost 115 inf + 6 105.939 * * [simplify]: Extracting #4: cost 104 inf + 1247 105.943 * * [simplify]: Extracting #5: cost 56 inf + 11061 105.953 * * [simplify]: Extracting #6: cost 4 inf + 34062 105.964 * * [simplify]: Extracting #7: cost 0 inf + 35882 105.975 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 105.975 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 105.975 * * * * [progress]: [ 27 / 667 ] simplifiying candidate # 105.976 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 105.976 * * [simplify]: iters left: 5 (9 enodes) 105.981 * * [simplify]: iters left: 4 (36 enodes) 105.993 * * [simplify]: iters left: 3 (57 enodes) 106.012 * * [simplify]: iters left: 2 (96 enodes) 106.046 * * [simplify]: iters left: 1 (171 enodes) 106.117 * * [simplify]: Extracting #0: cost 1 inf + 0 106.117 * * [simplify]: Extracting #1: cost 12 inf + 0 106.117 * * [simplify]: Extracting #2: cost 50 inf + 1 106.118 * * [simplify]: Extracting #3: cost 75 inf + 6 106.118 * * [simplify]: Extracting #4: cost 59 inf + 1253 106.119 * * [simplify]: Extracting #5: cost 25 inf + 8058 106.122 * * [simplify]: Extracting #6: cost 3 inf + 20149 106.126 * * [simplify]: Extracting #7: cost 0 inf + 22178 106.130 * * [simplify]: Extracting #8: cost 0 inf + 22007 106.133 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 106.133 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 106.133 * * * * [progress]: [ 28 / 667 ] simplifiying candidate # 106.134 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 106.134 * * [simplify]: iters left: 5 (8 enodes) 106.137 * * [simplify]: iters left: 4 (34 enodes) 106.149 * * [simplify]: iters left: 3 (64 enodes) 106.171 * * [simplify]: iters left: 2 (105 enodes) 106.192 * * [simplify]: iters left: 1 (177 enodes) 106.236 * * [simplify]: Extracting #0: cost 1 inf + 0 106.236 * * [simplify]: Extracting #1: cost 17 inf + 0 106.236 * * [simplify]: Extracting #2: cost 34 inf + 46 106.236 * * [simplify]: Extracting #3: cost 26 inf + 466 106.237 * * [simplify]: Extracting #4: cost 11 inf + 6543 106.238 * * [simplify]: Extracting #5: cost 1 inf + 10885 106.240 * * [simplify]: Extracting #6: cost 0 inf + 11179 106.241 * [simplify]: Simplified to (* (* PI 2) n) 106.241 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 106.241 * * * * [progress]: [ 29 / 667 ] simplifiying candidate # 106.241 * [simplify]: Simplifying (pow (* n (* 2 PI)) 1) 106.242 * * [simplify]: iters left: 5 (7 enodes) 106.244 * * [simplify]: iters left: 4 (30 enodes) 106.251 * * [simplify]: iters left: 3 (58 enodes) 106.265 * * [simplify]: iters left: 2 (99 enodes) 106.292 * * [simplify]: iters left: 1 (171 enodes) 106.330 * * [simplify]: Extracting #0: cost 1 inf + 0 106.330 * * [simplify]: Extracting #1: cost 18 inf + 0 106.330 * * [simplify]: Extracting #2: cost 35 inf + 46 106.331 * * [simplify]: Extracting #3: cost 25 inf + 1347 106.332 * * [simplify]: Extracting #4: cost 14 inf + 5442 106.335 * * [simplify]: Extracting #5: cost 7 inf + 7909 106.338 * * [simplify]: Extracting #6: cost 0 inf + 11764 106.341 * [simplify]: Simplified to (* (* PI 2) n) 106.341 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 106.341 * * * * [progress]: [ 30 / 667 ] simplifiying candidate # 106.342 * [simplify]: Simplifying (pow (* n (* 2 PI)) (- 1 k)) 106.342 * * [simplify]: iters left: 5 (9 enodes) 106.346 * * [simplify]: iters left: 4 (38 enodes) 106.362 * * [simplify]: iters left: 3 (64 enodes) 106.373 * * [simplify]: iters left: 2 (102 enodes) 106.390 * * [simplify]: iters left: 1 (175 enodes) 106.448 * * [simplify]: Extracting #0: cost 1 inf + 0 106.448 * * [simplify]: Extracting #1: cost 13 inf + 0 106.448 * * [simplify]: Extracting #2: cost 60 inf + 1 106.449 * * [simplify]: Extracting #3: cost 84 inf + 132 106.450 * * [simplify]: Extracting #4: cost 53 inf + 3484 106.454 * * [simplify]: Extracting #5: cost 20 inf + 12286 106.460 * * [simplify]: Extracting #6: cost 1 inf + 23776 106.468 * * [simplify]: Extracting #7: cost 0 inf + 24443 106.481 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1 k)) 106.481 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (- 1 k)) (/ 1 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 106.481 * * * * [progress]: [ 31 / 667 ] simplifiying candidate # 106.482 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 106.482 * * [simplify]: iters left: 5 (7 enodes) 106.486 * * [simplify]: iters left: 4 (32 enodes) 106.497 * * [simplify]: iters left: 3 (57 enodes) 106.515 * * [simplify]: iters left: 2 (90 enodes) 106.547 * * [simplify]: iters left: 1 (170 enodes) 106.604 * * [simplify]: Extracting #0: cost 1 inf + 0 106.604 * * [simplify]: Extracting #1: cost 13 inf + 0 106.604 * * [simplify]: Extracting #2: cost 54 inf + 2 106.605 * * [simplify]: Extracting #3: cost 89 inf + 6 106.607 * * [simplify]: Extracting #4: cost 78 inf + 1344 106.609 * * [simplify]: Extracting #5: cost 20 inf + 14664 106.613 * * [simplify]: Extracting #6: cost 1 inf + 22045 106.616 * * [simplify]: Extracting #7: cost 0 inf + 21300 106.623 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 106.623 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 106.623 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 106.623 * * [simplify]: iters left: 5 (8 enodes) 106.629 * * [simplify]: iters left: 4 (36 enodes) 106.641 * * [simplify]: iters left: 3 (57 enodes) 106.653 * * [simplify]: iters left: 2 (92 enodes) 106.672 * * [simplify]: iters left: 1 (188 enodes) 106.742 * * [simplify]: Extracting #0: cost 1 inf + 0 106.742 * * [simplify]: Extracting #1: cost 13 inf + 0 106.743 * * [simplify]: Extracting #2: cost 57 inf + 1 106.743 * * [simplify]: Extracting #3: cost 92 inf + 6 106.744 * * [simplify]: Extracting #4: cost 85 inf + 1386 106.747 * * [simplify]: Extracting #5: cost 34 inf + 8770 106.754 * * [simplify]: Extracting #6: cost 1 inf + 23636 106.761 * * [simplify]: Extracting #7: cost 0 inf + 24512 106.768 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 106.768 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 106.768 * * * * [progress]: [ 32 / 667 ] simplifiying candidate # 106.769 * * * * [progress]: [ 33 / 667 ] simplifiying candidate # 106.769 * [simplify]: Simplifying (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 106.769 * * [simplify]: iters left: 6 (11 enodes) 106.775 * * [simplify]: iters left: 5 (50 enodes) 106.786 * * [simplify]: iters left: 4 (97 enodes) 106.803 * * [simplify]: iters left: 3 (196 enodes) 106.864 * * [simplify]: Extracting #0: cost 1 inf + 0 106.864 * * [simplify]: Extracting #1: cost 46 inf + 0 106.864 * * [simplify]: Extracting #2: cost 129 inf + 1 106.865 * * [simplify]: Extracting #3: cost 177 inf + 448 106.867 * * [simplify]: Extracting #4: cost 122 inf + 10236 106.871 * * [simplify]: Extracting #5: cost 25 inf + 29555 106.881 * * [simplify]: Extracting #6: cost 1 inf + 37116 106.894 * * [simplify]: Extracting #7: cost 0 inf + 37231 106.906 * [simplify]: Simplified to (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) 106.906 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (/ (- 1 k) (/ 2 (log (* (* PI 2) n))))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 106.907 * * * * [progress]: [ 34 / 667 ] simplifiying candidate # 106.907 * [simplify]: Simplifying (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 106.907 * * [simplify]: iters left: 6 (11 enodes) 106.913 * * [simplify]: iters left: 5 (48 enodes) 106.929 * * [simplify]: iters left: 4 (79 enodes) 106.950 * * [simplify]: iters left: 3 (127 enodes) 106.984 * * [simplify]: iters left: 2 (246 enodes) 107.074 * * [simplify]: iters left: 1 (490 enodes) 107.322 * * [simplify]: Extracting #0: cost 1 inf + 0 107.322 * * [simplify]: Extracting #1: cost 26 inf + 0 107.323 * * [simplify]: Extracting #2: cost 134 inf + 0 107.324 * * [simplify]: Extracting #3: cost 269 inf + 4 107.327 * * [simplify]: Extracting #4: cost 292 inf + 99 107.334 * * [simplify]: Extracting #5: cost 275 inf + 1794 107.341 * * [simplify]: Extracting #6: cost 198 inf + 15073 107.361 * * [simplify]: Extracting #7: cost 85 inf + 83281 107.397 * * [simplify]: Extracting #8: cost 12 inf + 138789 107.436 * * [simplify]: Extracting #9: cost 2 inf + 147165 107.474 * * [simplify]: Extracting #10: cost 0 inf + 149137 107.513 * [simplify]: Simplified to (exp (pow (* (* PI 2) n) (/ (- 1 k) 2))) 107.513 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (log (exp (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 107.514 * * * * [progress]: [ 35 / 667 ] simplifiying candidate # 107.514 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 107.514 * * [simplify]: iters left: 6 (12 enodes) 107.520 * * [simplify]: iters left: 5 (51 enodes) 107.529 * * [simplify]: iters left: 4 (84 enodes) 107.543 * * [simplify]: iters left: 3 (127 enodes) 107.581 * * [simplify]: iters left: 2 (212 enodes) 107.634 * * [simplify]: iters left: 1 (389 enodes) 107.855 * * [simplify]: Extracting #0: cost 1 inf + 0 107.855 * * [simplify]: Extracting #1: cost 3 inf + 0 107.855 * * [simplify]: Extracting #2: cost 5 inf + 0 107.855 * * [simplify]: Extracting #3: cost 34 inf + 0 107.856 * * [simplify]: Extracting #4: cost 117 inf + 1 107.857 * * [simplify]: Extracting #5: cost 168 inf + 176 107.859 * * [simplify]: Extracting #6: cost 164 inf + 851 107.864 * * [simplify]: Extracting #7: cost 84 inf + 17972 107.877 * * [simplify]: Extracting #8: cost 22 inf + 49496 107.897 * * [simplify]: Extracting #9: cost 0 inf + 68747 107.917 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 107.917 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 107.918 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 107.918 * * [simplify]: iters left: 6 (11 enodes) 107.924 * * [simplify]: iters left: 5 (48 enodes) 107.940 * * [simplify]: iters left: 4 (77 enodes) 107.954 * * [simplify]: iters left: 3 (120 enodes) 107.978 * * [simplify]: iters left: 2 (218 enodes) 108.037 * * [simplify]: iters left: 1 (392 enodes) 108.202 * * [simplify]: Extracting #0: cost 1 inf + 0 108.202 * * [simplify]: Extracting #1: cost 3 inf + 0 108.202 * * [simplify]: Extracting #2: cost 33 inf + 0 108.203 * * [simplify]: Extracting #3: cost 116 inf + 1 108.204 * * [simplify]: Extracting #4: cost 186 inf + 176 108.205 * * [simplify]: Extracting #5: cost 178 inf + 974 108.207 * * [simplify]: Extracting #6: cost 110 inf + 10321 108.222 * * [simplify]: Extracting #7: cost 37 inf + 43607 108.243 * * [simplify]: Extracting #8: cost 0 inf + 72098 108.258 * * [simplify]: Extracting #9: cost 0 inf + 70260 108.286 * * [simplify]: Extracting #10: cost 0 inf + 69886 108.317 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 108.317 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 108.317 * * * * [progress]: [ 36 / 667 ] simplifiying candidate # 108.318 * [simplify]: Simplifying (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 108.318 * * [simplify]: iters left: 6 (12 enodes) 108.325 * * [simplify]: iters left: 5 (54 enodes) 108.345 * * [simplify]: iters left: 4 (107 enodes) 108.388 * * [simplify]: iters left: 3 (222 enodes) 108.457 * * [simplify]: iters left: 2 (473 enodes) 108.737 * * [simplify]: Extracting #0: cost 1 inf + 0 108.737 * * [simplify]: Extracting #1: cost 48 inf + 0 108.738 * * [simplify]: Extracting #2: cost 137 inf + 3 108.740 * * [simplify]: Extracting #3: cost 189 inf + 5 108.742 * * [simplify]: Extracting #4: cost 190 inf + 930 108.750 * * [simplify]: Extracting #5: cost 117 inf + 25147 108.778 * * [simplify]: Extracting #6: cost 39 inf + 85008 108.811 * * [simplify]: Extracting #7: cost 0 inf + 119923 108.831 * * [simplify]: Extracting #8: cost 0 inf + 116409 108.858 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3) 108.858 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (cbrt (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 108.858 * * * * [progress]: [ 37 / 667 ] simplifiying candidate # 108.858 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 108.858 * * [simplify]: iters left: 6 (11 enodes) 108.865 * * [simplify]: iters left: 5 (48 enodes) 108.880 * * [simplify]: iters left: 4 (78 enodes) 108.906 * * [simplify]: iters left: 3 (122 enodes) 108.944 * * [simplify]: iters left: 2 (223 enodes) 108.988 * * [simplify]: iters left: 1 (408 enodes) 109.122 * * [simplify]: Extracting #0: cost 1 inf + 0 109.123 * * [simplify]: Extracting #1: cost 4 inf + 0 109.123 * * [simplify]: Extracting #2: cost 37 inf + 0 109.123 * * [simplify]: Extracting #3: cost 135 inf + 1 109.124 * * [simplify]: Extracting #4: cost 179 inf + 220 109.125 * * [simplify]: Extracting #5: cost 164 inf + 2131 109.128 * * [simplify]: Extracting #6: cost 85 inf + 15047 109.136 * * [simplify]: Extracting #7: cost 22 inf + 54880 109.154 * * [simplify]: Extracting #8: cost 0 inf + 75621 109.166 * * [simplify]: Extracting #9: cost 0 inf + 75008 109.179 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 109.179 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 109.180 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 109.180 * * [simplify]: iters left: 6 (11 enodes) 109.183 * * [simplify]: iters left: 5 (48 enodes) 109.196 * * [simplify]: iters left: 4 (78 enodes) 109.221 * * [simplify]: iters left: 3 (122 enodes) 109.246 * * [simplify]: iters left: 2 (223 enodes) 109.328 * * [simplify]: iters left: 1 (408 enodes) 109.487 * * [simplify]: Extracting #0: cost 1 inf + 0 109.487 * * [simplify]: Extracting #1: cost 4 inf + 0 109.488 * * [simplify]: Extracting #2: cost 37 inf + 0 109.488 * * [simplify]: Extracting #3: cost 135 inf + 1 109.489 * * [simplify]: Extracting #4: cost 179 inf + 220 109.490 * * [simplify]: Extracting #5: cost 164 inf + 2131 109.493 * * [simplify]: Extracting #6: cost 85 inf + 15047 109.505 * * [simplify]: Extracting #7: cost 22 inf + 54880 109.526 * * [simplify]: Extracting #8: cost 0 inf + 75621 109.547 * * [simplify]: Extracting #9: cost 0 inf + 75008 109.568 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 109.568 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 109.568 * * * * [progress]: [ 38 / 667 ] simplifiying candidate # 109.569 * * * * [progress]: [ 39 / 667 ] simplifiying candidate # 109.569 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 109.569 * * [simplify]: iters left: 6 (11 enodes) 109.576 * * [simplify]: iters left: 5 (51 enodes) 109.593 * * [simplify]: iters left: 4 (87 enodes) 109.627 * * [simplify]: iters left: 3 (146 enodes) 109.656 * * [simplify]: iters left: 2 (263 enodes) 109.728 * * [simplify]: iters left: 1 (485 enodes) 109.955 * * [simplify]: Extracting #0: cost 1 inf + 0 109.955 * * [simplify]: Extracting #1: cost 27 inf + 0 109.955 * * [simplify]: Extracting #2: cost 109 inf + 1 109.956 * * [simplify]: Extracting #3: cost 198 inf + 178 109.957 * * [simplify]: Extracting #4: cost 189 inf + 1807 109.960 * * [simplify]: Extracting #5: cost 91 inf + 13674 109.968 * * [simplify]: Extracting #6: cost 24 inf + 43528 109.987 * * [simplify]: Extracting #7: cost 0 inf + 64461 110.009 * * [simplify]: Extracting #8: cost 0 inf + 64381 110.019 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 110.020 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 110.020 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 110.020 * * [simplify]: iters left: 6 (11 enodes) 110.023 * * [simplify]: iters left: 5 (51 enodes) 110.033 * * [simplify]: iters left: 4 (87 enodes) 110.049 * * [simplify]: iters left: 3 (146 enodes) 110.091 * * [simplify]: iters left: 2 (263 enodes) 110.160 * * [simplify]: iters left: 1 (485 enodes) 110.406 * * [simplify]: Extracting #0: cost 1 inf + 0 110.406 * * [simplify]: Extracting #1: cost 27 inf + 0 110.407 * * [simplify]: Extracting #2: cost 109 inf + 1 110.408 * * [simplify]: Extracting #3: cost 198 inf + 178 110.410 * * [simplify]: Extracting #4: cost 189 inf + 1807 110.417 * * [simplify]: Extracting #5: cost 91 inf + 13674 110.432 * * [simplify]: Extracting #6: cost 24 inf + 43528 110.454 * * [simplify]: Extracting #7: cost 0 inf + 64461 110.476 * * [simplify]: Extracting #8: cost 0 inf + 64381 110.498 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 110.498 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 110.498 * * * * [progress]: [ 40 / 667 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))> 110.499 * [simplify]: Simplifying (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 110.499 * * [simplify]: iters left: 6 (11 enodes) 110.505 * * [simplify]: iters left: 5 (45 enodes) 110.519 * * [simplify]: iters left: 4 (74 enodes) 110.546 * * [simplify]: iters left: 3 (118 enodes) 110.572 * * [simplify]: iters left: 2 (216 enodes) 110.618 * * [simplify]: iters left: 1 (387 enodes) 110.789 * * [simplify]: Extracting #0: cost 1 inf + 0 110.789 * * [simplify]: Extracting #1: cost 2 inf + 0 110.789 * * [simplify]: Extracting #2: cost 29 inf + 0 110.790 * * [simplify]: Extracting #3: cost 109 inf + 1 110.790 * * [simplify]: Extracting #4: cost 168 inf + 218 110.791 * * [simplify]: Extracting #5: cost 167 inf + 602 110.793 * * [simplify]: Extracting #6: cost 91 inf + 10560 110.799 * * [simplify]: Extracting #7: cost 41 inf + 32686 110.812 * * [simplify]: Extracting #8: cost 0 inf + 64601 110.827 * * [simplify]: Extracting #9: cost 0 inf + 64241 110.848 * [simplify]: Simplified to (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) 110.848 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (posit16->real (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 110.848 * * * * [progress]: [ 41 / 667 ] simplifiying candidate # 110.848 * [simplify]: Simplifying (* n (* 2 PI)) 110.849 * * [simplify]: iters left: 4 (5 enodes) 110.852 * * [simplify]: iters left: 3 (19 enodes) 110.858 * * [simplify]: iters left: 2 (27 enodes) 110.865 * * [simplify]: iters left: 1 (32 enodes) 110.875 * * [simplify]: Extracting #0: cost 1 inf + 0 110.875 * * [simplify]: Extracting #1: cost 8 inf + 0 110.875 * * [simplify]: Extracting #2: cost 7 inf + 45 110.875 * * [simplify]: Extracting #3: cost 0 inf + 421 110.875 * [simplify]: Simplified to (* (* PI 2) n) 110.875 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 110.876 * * * * [progress]: [ 42 / 667 ] simplifiying candidate # 110.876 * [simplify]: Simplifying (* n (* 2 PI)) 110.876 * * [simplify]: iters left: 4 (5 enodes) 110.879 * * [simplify]: iters left: 3 (19 enodes) 110.884 * * [simplify]: iters left: 2 (27 enodes) 110.888 * * [simplify]: iters left: 1 (32 enodes) 110.892 * * [simplify]: Extracting #0: cost 1 inf + 0 110.892 * * [simplify]: Extracting #1: cost 8 inf + 0 110.893 * * [simplify]: Extracting #2: cost 7 inf + 45 110.893 * * [simplify]: Extracting #3: cost 0 inf + 421 110.893 * [simplify]: Simplified to (* (* PI 2) n) 110.893 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 110.893 * * * * [progress]: [ 43 / 667 ] simplifiying candidate # 110.893 * * * * [progress]: [ 44 / 667 ] simplifiying candidate # 110.893 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 110.893 * * [simplify]: iters left: 5 (8 enodes) 110.896 * * [simplify]: iters left: 4 (28 enodes) 110.901 * * [simplify]: iters left: 3 (36 enodes) 110.906 * * [simplify]: iters left: 2 (42 enodes) 110.912 * * [simplify]: Extracting #0: cost 1 inf + 0 110.912 * * [simplify]: Extracting #1: cost 8 inf + 0 110.912 * * [simplify]: Extracting #2: cost 17 inf + 0 110.912 * * [simplify]: Extracting #3: cost 12 inf + 145 110.912 * * [simplify]: Extracting #4: cost 5 inf + 1197 110.913 * * [simplify]: Extracting #5: cost 1 inf + 1925 110.913 * * [simplify]: Extracting #6: cost 0 inf + 2107 110.913 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 110.913 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 110.913 * * * * [progress]: [ 45 / 667 ] simplifiying candidate # 110.914 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 110.914 * * [simplify]: iters left: 5 (7 enodes) 110.917 * * [simplify]: iters left: 4 (26 enodes) 110.925 * * [simplify]: iters left: 3 (35 enodes) 110.932 * * [simplify]: iters left: 2 (44 enodes) 110.938 * * [simplify]: Extracting #0: cost 1 inf + 0 110.938 * * [simplify]: Extracting #1: cost 8 inf + 0 110.938 * * [simplify]: Extracting #2: cost 18 inf + 0 110.938 * * [simplify]: Extracting #3: cost 15 inf + 74 110.939 * * [simplify]: Extracting #4: cost 8 inf + 554 110.939 * * [simplify]: Extracting #5: cost 0 inf + 1911 110.939 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 110.939 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 110.939 * * * * [progress]: [ 46 / 667 ] simplifiying candidate # 110.939 * [simplify]: Simplifying (log (* n (* 2 PI))) 110.940 * * [simplify]: iters left: 5 (6 enodes) 110.941 * * [simplify]: iters left: 4 (25 enodes) 110.946 * * [simplify]: iters left: 3 (44 enodes) 110.952 * * [simplify]: iters left: 2 (62 enodes) 110.966 * * [simplify]: iters left: 1 (70 enodes) 110.979 * * [simplify]: Extracting #0: cost 1 inf + 0 110.979 * * [simplify]: Extracting #1: cost 9 inf + 0 110.979 * * [simplify]: Extracting #2: cost 22 inf + 0 110.979 * * [simplify]: Extracting #3: cost 19 inf + 228 110.979 * * [simplify]: Extracting #4: cost 6 inf + 1211 110.980 * * [simplify]: Extracting #5: cost 1 inf + 1713 110.980 * * [simplify]: Extracting #6: cost 0 inf + 1825 110.981 * [simplify]: Simplified to (log (* (* PI 2) n)) 110.981 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (exp (log (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 110.981 * * * * [progress]: [ 47 / 667 ] simplifiying candidate # 110.981 * [simplify]: Simplifying (exp (* n (* 2 PI))) 110.981 * * [simplify]: iters left: 5 (6 enodes) 110.983 * * [simplify]: iters left: 4 (24 enodes) 110.987 * * [simplify]: iters left: 3 (41 enodes) 110.994 * * [simplify]: iters left: 2 (77 enodes) 111.007 * * [simplify]: iters left: 1 (133 enodes) 111.043 * * [simplify]: Extracting #0: cost 1 inf + 0 111.044 * * [simplify]: Extracting #1: cost 35 inf + 0 111.044 * * [simplify]: Extracting #2: cost 76 inf + 902 111.046 * * [simplify]: Extracting #3: cost 70 inf + 5088 111.047 * * [simplify]: Extracting #4: cost 26 inf + 14704 111.050 * * [simplify]: Extracting #5: cost 3 inf + 20923 111.052 * * [simplify]: Extracting #6: cost 0 inf + 21902 111.054 * [simplify]: Simplified to (* (exp (* n PI)) (exp (* n PI))) 111.054 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (log (* (exp (* n PI)) (exp (* n PI)))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 111.054 * * * * [progress]: [ 48 / 667 ] simplifiying candidate # 111.055 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 111.055 * * [simplify]: iters left: 6 (11 enodes) 111.059 * * [simplify]: iters left: 5 (48 enodes) 111.068 * * [simplify]: iters left: 4 (121 enodes) 111.117 * * [simplify]: iters left: 3 (348 enodes) 111.381 * * [simplify]: Extracting #0: cost 1 inf + 0 111.381 * * [simplify]: Extracting #1: cost 67 inf + 0 111.383 * * [simplify]: Extracting #2: cost 165 inf + 786 111.388 * * [simplify]: Extracting #3: cost 81 inf + 10746 111.400 * * [simplify]: Extracting #4: cost 9 inf + 26018 111.417 * * [simplify]: Extracting #5: cost 0 inf + 28546 111.429 * * [simplify]: Extracting #6: cost 0 inf + 28506 111.442 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 111.442 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 111.442 * * * * [progress]: [ 49 / 667 ] simplifiying candidate # 111.443 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 111.443 * * [simplify]: iters left: 6 (9 enodes) 111.449 * * [simplify]: iters left: 5 (45 enodes) 111.466 * * [simplify]: iters left: 4 (117 enodes) 111.522 * * [simplify]: iters left: 3 (377 enodes) 111.791 * * [simplify]: Extracting #0: cost 1 inf + 0 111.792 * * [simplify]: Extracting #1: cost 79 inf + 0 111.793 * * [simplify]: Extracting #2: cost 191 inf + 659 111.797 * * [simplify]: Extracting #3: cost 100 inf + 13238 111.806 * * [simplify]: Extracting #4: cost 6 inf + 31685 111.819 * * [simplify]: Extracting #5: cost 0 inf + 32539 111.838 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 111.838 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 111.839 * * * * [progress]: [ 50 / 667 ] simplifiying candidate # 111.839 * [simplify]: Simplifying (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) 111.839 * * [simplify]: iters left: 6 (7 enodes) 111.842 * * [simplify]: iters left: 5 (25 enodes) 111.846 * * [simplify]: iters left: 4 (33 enodes) 111.851 * * [simplify]: iters left: 3 (39 enodes) 111.857 * * [simplify]: Extracting #0: cost 1 inf + 0 111.857 * * [simplify]: Extracting #1: cost 3 inf + 0 111.857 * * [simplify]: Extracting #2: cost 5 inf + 0 111.857 * * [simplify]: Extracting #3: cost 12 inf + 0 111.857 * * [simplify]: Extracting #4: cost 11 inf + 45 111.857 * * [simplify]: Extracting #5: cost 5 inf + 500 111.857 * * [simplify]: Extracting #6: cost 1 inf + 950 111.858 * * [simplify]: Extracting #7: cost 0 inf + 1153 111.858 * [simplify]: Simplified to (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) 111.858 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (* (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 111.858 * [simplify]: Simplifying (cbrt (* n (* 2 PI))) 111.858 * * [simplify]: iters left: 5 (6 enodes) 111.860 * * [simplify]: iters left: 4 (22 enodes) 111.864 * * [simplify]: iters left: 3 (30 enodes) 111.868 * * [simplify]: iters left: 2 (35 enodes) 111.872 * * [simplify]: Extracting #0: cost 1 inf + 0 111.873 * * [simplify]: Extracting #1: cost 3 inf + 0 111.873 * * [simplify]: Extracting #2: cost 10 inf + 0 111.873 * * [simplify]: Extracting #3: cost 10 inf + 3 111.873 * * [simplify]: Extracting #4: cost 6 inf + 171 111.873 * * [simplify]: Extracting #5: cost 1 inf + 584 111.873 * * [simplify]: Extracting #6: cost 0 inf + 747 111.873 * [simplify]: Simplified to (cbrt (* (* PI 2) n)) 111.873 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (/ (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 111.873 * * * * [progress]: [ 51 / 667 ] simplifiying candidate # 111.874 * [simplify]: Simplifying (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI))) 111.874 * * [simplify]: iters left: 6 (7 enodes) 111.878 * * [simplify]: iters left: 5 (35 enodes) 111.889 * * [simplify]: iters left: 4 (120 enodes) 111.950 * * [simplify]: iters left: 3 (434 enodes) 112.397 * * [simplify]: Extracting #0: cost 1 inf + 0 112.398 * * [simplify]: Extracting #1: cost 75 inf + 0 112.400 * * [simplify]: Extracting #2: cost 190 inf + 661 112.408 * * [simplify]: Extracting #3: cost 73 inf + 17047 112.421 * * [simplify]: Extracting #4: cost 3 inf + 27583 112.430 * * [simplify]: Extracting #5: cost 0 inf + 27781 112.444 * * [simplify]: Extracting #6: cost 0 inf + 27740 112.464 * [simplify]: Simplified to (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n))) 112.464 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (cbrt (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 112.464 * * * * [progress]: [ 52 / 667 ] simplifiying candidate # 112.465 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 112.465 * * [simplify]: iters left: 5 (6 enodes) 112.468 * * [simplify]: iters left: 4 (22 enodes) 112.475 * * [simplify]: iters left: 3 (30 enodes) 112.483 * * [simplify]: iters left: 2 (35 enodes) 112.492 * * [simplify]: Extracting #0: cost 1 inf + 0 112.492 * * [simplify]: Extracting #1: cost 3 inf + 0 112.492 * * [simplify]: Extracting #2: cost 10 inf + 0 112.492 * * [simplify]: Extracting #3: cost 10 inf + 3 112.492 * * [simplify]: Extracting #4: cost 6 inf + 171 112.492 * * [simplify]: Extracting #5: cost 1 inf + 544 112.493 * * [simplify]: Extracting #6: cost 0 inf + 667 112.493 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 112.493 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (* (sqrt (* (* PI 2) n)) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 112.493 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 112.493 * * [simplify]: iters left: 5 (6 enodes) 112.497 * * [simplify]: iters left: 4 (22 enodes) 112.503 * * [simplify]: iters left: 3 (30 enodes) 112.511 * * [simplify]: iters left: 2 (35 enodes) 112.520 * * [simplify]: Extracting #0: cost 1 inf + 0 112.520 * * [simplify]: Extracting #1: cost 3 inf + 0 112.520 * * [simplify]: Extracting #2: cost 10 inf + 0 112.521 * * [simplify]: Extracting #3: cost 10 inf + 3 112.521 * * [simplify]: Extracting #4: cost 6 inf + 171 112.521 * * [simplify]: Extracting #5: cost 1 inf + 544 112.521 * * [simplify]: Extracting #6: cost 0 inf + 667 112.522 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 112.522 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (/ (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 112.522 * * * * [progress]: [ 53 / 667 ] simplifiying candidate # 112.522 * * * * [progress]: [ 54 / 667 ] simplifiying candidate # 112.522 * [simplify]: Simplifying (* n 2) 112.522 * * [simplify]: iters left: 2 (3 enodes) 112.524 * * [simplify]: iters left: 1 (10 enodes) 112.527 * * [simplify]: Extracting #0: cost 1 inf + 0 112.527 * * [simplify]: Extracting #1: cost 4 inf + 0 112.527 * * [simplify]: Extracting #2: cost 2 inf + 2 112.528 * * [simplify]: Extracting #3: cost 0 inf + 86 112.528 * [simplify]: Simplified to (* n 2) 112.528 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 112.528 * * * * [progress]: [ 55 / 667 ] simplifiying candidate # 112.528 * [simplify]: Simplifying (* (cbrt n) (* 2 PI)) 112.528 * * [simplify]: iters left: 4 (6 enodes) 112.531 * * [simplify]: iters left: 3 (22 enodes) 112.538 * * [simplify]: iters left: 2 (30 enodes) 112.547 * * [simplify]: iters left: 1 (35 enodes) 112.556 * * [simplify]: Extracting #0: cost 1 inf + 0 112.556 * * [simplify]: Extracting #1: cost 8 inf + 0 112.556 * * [simplify]: Extracting #2: cost 10 inf + 44 112.557 * * [simplify]: Extracting #3: cost 8 inf + 87 112.557 * * [simplify]: Extracting #4: cost 5 inf + 453 112.557 * * [simplify]: Extracting #5: cost 0 inf + 1063 112.558 * [simplify]: Simplified to (* (cbrt n) (* 2 PI)) 112.558 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (/ (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 112.558 * * * * [progress]: [ 56 / 667 ] simplifiying candidate # 112.558 * [simplify]: Simplifying (* (sqrt n) (* 2 PI)) 112.558 * * [simplify]: iters left: 4 (6 enodes) 112.562 * * [simplify]: iters left: 3 (22 enodes) 112.568 * * [simplify]: iters left: 2 (30 enodes) 112.578 * * [simplify]: iters left: 1 (35 enodes) 112.587 * * [simplify]: Extracting #0: cost 1 inf + 0 112.587 * * [simplify]: Extracting #1: cost 8 inf + 0 112.587 * * [simplify]: Extracting #2: cost 10 inf + 44 112.587 * * [simplify]: Extracting #3: cost 8 inf + 87 112.587 * * [simplify]: Extracting #4: cost 5 inf + 333 112.588 * * [simplify]: Extracting #5: cost 0 inf + 743 112.588 * [simplify]: Simplified to (* (sqrt n) (* 2 PI)) 112.588 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (/ (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 112.588 * * * * [progress]: [ 57 / 667 ] simplifiying candidate # 112.589 * [simplify]: Simplifying (* n (* 2 PI)) 112.589 * * [simplify]: iters left: 4 (5 enodes) 112.591 * * [simplify]: iters left: 3 (19 enodes) 112.597 * * [simplify]: iters left: 2 (27 enodes) 112.605 * * [simplify]: iters left: 1 (32 enodes) 112.612 * * [simplify]: Extracting #0: cost 1 inf + 0 112.612 * * [simplify]: Extracting #1: cost 8 inf + 0 112.612 * * [simplify]: Extracting #2: cost 7 inf + 45 112.613 * * [simplify]: Extracting #3: cost 0 inf + 421 112.613 * [simplify]: Simplified to (* (* PI 2) n) 112.613 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (/ (/ (pow (* 1 (* (* PI 2) n)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 112.613 * * * * [progress]: [ 58 / 667 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))> 112.613 * [simplify]: Simplifying (real->posit16 (* n (* 2 PI))) 112.614 * * [simplify]: iters left: 5 (6 enodes) 112.616 * * [simplify]: iters left: 4 (19 enodes) 112.619 * * [simplify]: iters left: 3 (27 enodes) 112.623 * * [simplify]: iters left: 2 (32 enodes) 112.627 * * [simplify]: Extracting #0: cost 1 inf + 0 112.627 * * [simplify]: Extracting #1: cost 2 inf + 0 112.627 * * [simplify]: Extracting #2: cost 8 inf + 0 112.627 * * [simplify]: Extracting #3: cost 7 inf + 45 112.627 * * [simplify]: Extracting #4: cost 1 inf + 379 112.627 * * [simplify]: Extracting #5: cost 0 inf + 421 112.628 * [simplify]: Simplified to (real->posit16 (* (* PI 2) n)) 112.628 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (posit16->real (real->posit16 (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 112.628 * * * * [progress]: [ 59 / 667 ] simplifiying candidate # 112.628 * * * * [progress]: [ 60 / 667 ] simplifiying candidate # 112.628 * * * * [progress]: [ 61 / 667 ] simplifiying candidate # 112.628 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) 112.628 * * [simplify]: iters left: 6 (17 enodes) 112.633 * * [simplify]: iters left: 5 (68 enodes) 112.643 * * [simplify]: iters left: 4 (114 enodes) 112.682 * * [simplify]: iters left: 3 (299 enodes) 112.824 * * [simplify]: Extracting #0: cost 1 inf + 0 112.825 * * [simplify]: Extracting #1: cost 39 inf + 0 112.825 * * [simplify]: Extracting #2: cost 118 inf + 0 112.826 * * [simplify]: Extracting #3: cost 179 inf + 73 112.828 * * [simplify]: Extracting #4: cost 179 inf + 3926 112.839 * * [simplify]: Extracting #5: cost 57 inf + 37043 112.859 * * [simplify]: Extracting #6: cost 5 inf + 56567 112.873 * * [simplify]: Extracting #7: cost 0 inf + 57140 112.883 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt (sqrt k)))) 112.883 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 112.883 * * * * [progress]: [ 62 / 667 ] simplifiying candidate # 112.884 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) 112.884 * * [simplify]: iters left: 6 (16 enodes) 112.889 * * [simplify]: iters left: 5 (66 enodes) 112.906 * * [simplify]: iters left: 4 (107 enodes) 112.941 * * [simplify]: iters left: 3 (243 enodes) 113.005 * * [simplify]: Extracting #0: cost 1 inf + 0 113.005 * * [simplify]: Extracting #1: cost 28 inf + 0 113.006 * * [simplify]: Extracting #2: cost 104 inf + 0 113.006 * * [simplify]: Extracting #3: cost 160 inf + 2 113.007 * * [simplify]: Extracting #4: cost 174 inf + 1762 113.010 * * [simplify]: Extracting #5: cost 75 inf + 21744 113.017 * * [simplify]: Extracting #6: cost 8 inf + 41880 113.025 * * [simplify]: Extracting #7: cost 0 inf + 44980 113.034 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt (sqrt k)))) 113.034 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 113.034 * * * * [progress]: [ 63 / 667 ] simplifiying candidate # 113.034 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) 113.035 * * [simplify]: iters left: 6 (15 enodes) 113.039 * * [simplify]: iters left: 5 (65 enodes) 113.056 * * [simplify]: iters left: 4 (114 enodes) 113.098 * * [simplify]: iters left: 3 (228 enodes) 113.169 * * [simplify]: Extracting #0: cost 1 inf + 0 113.169 * * [simplify]: Extracting #1: cost 21 inf + 0 113.170 * * [simplify]: Extracting #2: cost 94 inf + 0 113.171 * * [simplify]: Extracting #3: cost 151 inf + 73 113.172 * * [simplify]: Extracting #4: cost 168 inf + 1635 113.177 * * [simplify]: Extracting #5: cost 85 inf + 15887 113.193 * * [simplify]: Extracting #6: cost 15 inf + 32598 113.207 * * [simplify]: Extracting #7: cost 0 inf + 38098 113.222 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt (sqrt k)))) 113.222 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 113.222 * * * * [progress]: [ 64 / 667 ] simplifiying candidate # 113.223 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) 113.223 * * [simplify]: iters left: 6 (15 enodes) 113.231 * * [simplify]: iters left: 5 (65 enodes) 113.253 * * [simplify]: iters left: 4 (114 enodes) 113.291 * * [simplify]: iters left: 3 (228 enodes) 113.358 * * [simplify]: Extracting #0: cost 1 inf + 0 113.358 * * [simplify]: Extracting #1: cost 21 inf + 0 113.359 * * [simplify]: Extracting #2: cost 94 inf + 0 113.359 * * [simplify]: Extracting #3: cost 151 inf + 73 113.360 * * [simplify]: Extracting #4: cost 168 inf + 1635 113.362 * * [simplify]: Extracting #5: cost 85 inf + 15887 113.368 * * [simplify]: Extracting #6: cost 15 inf + 32598 113.376 * * [simplify]: Extracting #7: cost 0 inf + 38098 113.383 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt (sqrt k)))) 113.384 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 113.384 * * * * [progress]: [ 65 / 667 ] simplifiying candidate # 113.384 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt (sqrt k)))) 113.384 * * [simplify]: iters left: 6 (15 enodes) 113.388 * * [simplify]: iters left: 5 (64 enodes) 113.405 * * [simplify]: iters left: 4 (114 enodes) 113.436 * * [simplify]: iters left: 3 (219 enodes) 113.502 * * [simplify]: Extracting #0: cost 1 inf + 0 113.502 * * [simplify]: Extracting #1: cost 20 inf + 0 113.502 * * [simplify]: Extracting #2: cost 114 inf + 0 113.503 * * [simplify]: Extracting #3: cost 191 inf + 2 113.506 * * [simplify]: Extracting #4: cost 154 inf + 8210 113.516 * * [simplify]: Extracting #5: cost 38 inf + 34159 113.530 * * [simplify]: Extracting #6: cost 1 inf + 46388 113.546 * * [simplify]: Extracting #7: cost 0 inf + 45337 113.553 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) 113.553 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 113.554 * * * * [progress]: [ 66 / 667 ] simplifiying candidate # 113.554 * [simplify]: Simplifying (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 113.554 * * [simplify]: iters left: 6 (14 enodes) 113.558 * * [simplify]: iters left: 5 (60 enodes) 113.569 * * [simplify]: iters left: 4 (105 enodes) 113.593 * * [simplify]: iters left: 3 (188 enodes) 113.641 * * [simplify]: iters left: 2 (451 enodes) 113.925 * * [simplify]: Extracting #0: cost 1 inf + 0 113.925 * * [simplify]: Extracting #1: cost 96 inf + 0 113.927 * * [simplify]: Extracting #2: cost 454 inf + 0 113.931 * * [simplify]: Extracting #3: cost 606 inf + 75 114.289 * * [simplify]: Extracting #4: cost 524 inf + 17975 114.326 * * [simplify]: Extracting #5: cost 127 inf + 132565 114.388 * * [simplify]: Extracting #6: cost 12 inf + 180117 114.434 * * [simplify]: Extracting #7: cost 0 inf + 186835 114.474 * * [simplify]: Extracting #8: cost 0 inf + 186675 114.517 * * [simplify]: Extracting #9: cost 0 inf + 186595 114.580 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt (sqrt k)))) 114.581 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 114.581 * * * * [progress]: [ 67 / 667 ] simplifiying candidate # 114.581 * [simplify]: Simplifying (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 114.581 * * [simplify]: iters left: 6 (14 enodes) 114.589 * * [simplify]: iters left: 5 (57 enodes) 114.600 * * [simplify]: iters left: 4 (92 enodes) 114.615 * * [simplify]: iters left: 3 (137 enodes) 114.655 * * [simplify]: iters left: 2 (235 enodes) 114.701 * * [simplify]: iters left: 1 (485 enodes) 114.924 * * [simplify]: Extracting #0: cost 1 inf + 0 114.925 * * [simplify]: Extracting #1: cost 21 inf + 0 114.925 * * [simplify]: Extracting #2: cost 106 inf + 0 114.926 * * [simplify]: Extracting #3: cost 225 inf + 3 114.927 * * [simplify]: Extracting #4: cost 256 inf + 224 114.928 * * [simplify]: Extracting #5: cost 240 inf + 2665 114.932 * * [simplify]: Extracting #6: cost 144 inf + 30025 114.948 * * [simplify]: Extracting #7: cost 24 inf + 128228 114.980 * * [simplify]: Extracting #8: cost 0 inf + 149579 115.003 * [simplify]: Simplified to (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 115.003 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (log (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt k)))) 115.003 * * * * [progress]: [ 68 / 667 ] simplifiying candidate # 115.004 * [simplify]: Simplifying (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 115.004 * * [simplify]: iters left: 6 (17 enodes) 115.009 * * [simplify]: iters left: 5 (75 enodes) 115.031 * * [simplify]: iters left: 4 (170 enodes) 115.085 * * [simplify]: Extracting #0: cost 1 inf + 0 115.085 * * [simplify]: Extracting #1: cost 50 inf + 0 115.086 * * [simplify]: Extracting #2: cost 115 inf + 1 115.087 * * [simplify]: Extracting #3: cost 142 inf + 2 115.088 * * [simplify]: Extracting #4: cost 136 inf + 592 115.092 * * [simplify]: Extracting #5: cost 84 inf + 19155 115.111 * * [simplify]: Extracting #6: cost 8 inf + 59106 115.135 * * [simplify]: Extracting #7: cost 0 inf + 64610 115.155 * [simplify]: Simplified to (/ (/ (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k)) 115.155 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (/ (/ (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (sqrt k)))) 115.156 * * * * [progress]: [ 69 / 667 ] simplifiying candidate # 115.156 * [simplify]: Simplifying (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 115.156 * * [simplify]: iters left: 6 (15 enodes) 115.163 * * [simplify]: iters left: 5 (60 enodes) 115.181 * * [simplify]: iters left: 4 (95 enodes) 115.211 * * [simplify]: iters left: 3 (144 enodes) 115.256 * * [simplify]: iters left: 2 (241 enodes) 115.348 * * [simplify]: iters left: 1 (479 enodes) 115.558 * * [simplify]: Extracting #0: cost 1 inf + 0 115.558 * * [simplify]: Extracting #1: cost 3 inf + 0 115.558 * * [simplify]: Extracting #2: cost 5 inf + 0 115.559 * * [simplify]: Extracting #3: cost 53 inf + 0 115.559 * * [simplify]: Extracting #4: cost 153 inf + 0 115.560 * * [simplify]: Extracting #5: cost 227 inf + 3 115.561 * * [simplify]: Extracting #6: cost 219 inf + 2587 115.565 * * [simplify]: Extracting #7: cost 151 inf + 18513 115.581 * * [simplify]: Extracting #8: cost 44 inf + 93202 115.618 * * [simplify]: Extracting #9: cost 0 inf + 131412 115.660 * * [simplify]: Extracting #10: cost 0 inf + 130430 115.702 * [simplify]: Simplified to (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 115.702 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt k)))) 115.702 * [simplify]: Simplifying (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 115.703 * * [simplify]: iters left: 6 (14 enodes) 115.710 * * [simplify]: iters left: 5 (57 enodes) 115.733 * * [simplify]: iters left: 4 (92 enodes) 115.757 * * [simplify]: iters left: 3 (137 enodes) 115.781 * * [simplify]: iters left: 2 (233 enodes) 115.832 * * [simplify]: iters left: 1 (473 enodes) 116.047 * * [simplify]: Extracting #0: cost 1 inf + 0 116.047 * * [simplify]: Extracting #1: cost 3 inf + 0 116.047 * * [simplify]: Extracting #2: cost 54 inf + 0 116.048 * * [simplify]: Extracting #3: cost 159 inf + 0 116.049 * * [simplify]: Extracting #4: cost 227 inf + 3 116.050 * * [simplify]: Extracting #5: cost 222 inf + 3486 116.054 * * [simplify]: Extracting #6: cost 142 inf + 30155 116.067 * * [simplify]: Extracting #7: cost 30 inf + 109011 116.107 * * [simplify]: Extracting #8: cost 0 inf + 138216 116.146 * * [simplify]: Extracting #9: cost 0 inf + 138043 116.183 * [simplify]: Simplified to (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 116.184 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt k)))) 116.184 * * * * [progress]: [ 70 / 667 ] simplifiying candidate # 116.184 * [simplify]: Simplifying (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 116.184 * * [simplify]: iters left: 6 (15 enodes) 116.193 * * [simplify]: iters left: 5 (67 enodes) 116.206 * * [simplify]: iters left: 4 (133 enodes) 116.235 * * [simplify]: iters left: 3 (282 enodes) 116.355 * * [simplify]: Extracting #0: cost 1 inf + 0 116.356 * * [simplify]: Extracting #1: cost 69 inf + 0 116.357 * * [simplify]: Extracting #2: cost 201 inf + 1 116.359 * * [simplify]: Extracting #3: cost 241 inf + 448 116.362 * * [simplify]: Extracting #4: cost 227 inf + 3943 116.370 * * [simplify]: Extracting #5: cost 138 inf + 50129 116.394 * * [simplify]: Extracting #6: cost 9 inf + 142019 116.431 * * [simplify]: Extracting #7: cost 0 inf + 148334 116.465 * * [simplify]: Extracting #8: cost 0 inf + 147830 116.495 * [simplify]: Simplified to (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 116.495 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) (sqrt (sqrt k)))) 116.495 * * * * [progress]: [ 71 / 667 ] simplifiying candidate # 116.496 * [simplify]: Simplifying (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 116.496 * * [simplify]: iters left: 6 (14 enodes) 116.503 * * [simplify]: iters left: 5 (57 enodes) 116.522 * * [simplify]: iters left: 4 (92 enodes) 116.552 * * [simplify]: iters left: 3 (137 enodes) 116.598 * * [simplify]: iters left: 2 (233 enodes) 116.656 * * [simplify]: iters left: 1 (473 enodes) 116.868 * * [simplify]: Extracting #0: cost 1 inf + 0 116.868 * * [simplify]: Extracting #1: cost 3 inf + 0 116.868 * * [simplify]: Extracting #2: cost 54 inf + 0 116.869 * * [simplify]: Extracting #3: cost 159 inf + 0 116.871 * * [simplify]: Extracting #4: cost 227 inf + 3 116.874 * * [simplify]: Extracting #5: cost 222 inf + 3406 116.881 * * [simplify]: Extracting #6: cost 142 inf + 30075 116.908 * * [simplify]: Extracting #7: cost 30 inf + 108931 116.947 * * [simplify]: Extracting #8: cost 0 inf + 138136 116.976 * * [simplify]: Extracting #9: cost 0 inf + 137963 117.004 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 117.004 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt k)))) 117.005 * [simplify]: Simplifying (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 117.005 * * [simplify]: iters left: 6 (14 enodes) 117.013 * * [simplify]: iters left: 5 (57 enodes) 117.032 * * [simplify]: iters left: 4 (92 enodes) 117.056 * * [simplify]: iters left: 3 (137 enodes) 117.084 * * [simplify]: iters left: 2 (233 enodes) 117.173 * * [simplify]: iters left: 1 (473 enodes) 117.392 * * [simplify]: Extracting #0: cost 1 inf + 0 117.392 * * [simplify]: Extracting #1: cost 3 inf + 0 117.392 * * [simplify]: Extracting #2: cost 54 inf + 0 117.393 * * [simplify]: Extracting #3: cost 159 inf + 0 117.393 * * [simplify]: Extracting #4: cost 227 inf + 3 117.395 * * [simplify]: Extracting #5: cost 222 inf + 3406 117.399 * * [simplify]: Extracting #6: cost 142 inf + 30075 117.421 * * [simplify]: Extracting #7: cost 30 inf + 108931 117.455 * * [simplify]: Extracting #8: cost 0 inf + 138136 117.474 * * [simplify]: Extracting #9: cost 0 inf + 137963 117.497 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 117.497 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt k)))) 117.498 * * * * [progress]: [ 72 / 667 ] simplifiying candidate # 117.498 * [simplify]: Simplifying (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 117.498 * * [simplify]: iters left: 6 (11 enodes) 117.501 * * [simplify]: iters left: 5 (48 enodes) 117.510 * * [simplify]: iters left: 4 (80 enodes) 117.532 * * [simplify]: iters left: 3 (132 enodes) 117.561 * * [simplify]: iters left: 2 (259 enodes) 117.617 * * [simplify]: Extracting #0: cost 1 inf + 0 117.618 * * [simplify]: Extracting #1: cost 23 inf + 0 117.618 * * [simplify]: Extracting #2: cost 80 inf + 0 117.618 * * [simplify]: Extracting #3: cost 129 inf + 2 117.619 * * [simplify]: Extracting #4: cost 136 inf + 179 117.619 * * [simplify]: Extracting #5: cost 129 inf + 1305 117.621 * * [simplify]: Extracting #6: cost 75 inf + 9015 117.624 * * [simplify]: Extracting #7: cost 44 inf + 21634 117.631 * * [simplify]: Extracting #8: cost 3 inf + 51383 117.643 * * [simplify]: Extracting #9: cost 0 inf + 53874 117.657 * [simplify]: Simplified to (- (pow (* (* PI 2) n) (/ (- 1 k) 2))) 117.657 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (- (pow (* (* PI 2) n) (/ (- 1 k) 2))) (- (sqrt (sqrt k)))) (sqrt (sqrt k)))) 117.658 * [simplify]: Simplifying (- (sqrt (sqrt k))) 117.658 * * [simplify]: iters left: 4 (4 enodes) 117.659 * * [simplify]: iters left: 3 (12 enodes) 117.662 * * [simplify]: Extracting #0: cost 1 inf + 0 117.662 * * [simplify]: Extracting #1: cost 3 inf + 0 117.662 * * [simplify]: Extracting #2: cost 5 inf + 0 117.662 * * [simplify]: Extracting #3: cost 7 inf + 0 117.662 * * [simplify]: Extracting #4: cost 6 inf + 1 117.662 * * [simplify]: Extracting #5: cost 0 inf + 487 117.663 * [simplify]: Simplified to (- (sqrt (sqrt k))) 117.663 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (sqrt (sqrt k)))) (sqrt (sqrt k)))) 117.663 * * * * [progress]: [ 73 / 667 ] simplifiying candidate # 117.663 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 117.663 * * [simplify]: iters left: 6 (12 enodes) 117.670 * * [simplify]: iters left: 5 (49 enodes) 117.691 * * [simplify]: iters left: 4 (82 enodes) 117.717 * * [simplify]: iters left: 3 (140 enodes) 117.749 * * [simplify]: iters left: 2 (287 enodes) 117.850 * * [simplify]: Extracting #0: cost 1 inf + 0 117.850 * * [simplify]: Extracting #1: cost 57 inf + 0 117.851 * * [simplify]: Extracting #2: cost 157 inf + 0 117.852 * * [simplify]: Extracting #3: cost 219 inf + 3 117.854 * * [simplify]: Extracting #4: cost 231 inf + 11 117.856 * * [simplify]: Extracting #5: cost 200 inf + 6067 117.861 * * [simplify]: Extracting #6: cost 135 inf + 24607 117.869 * * [simplify]: Extracting #7: cost 60 inf + 73883 117.884 * * [simplify]: Extracting #8: cost 0 inf + 120004 117.908 * * [simplify]: Extracting #9: cost 0 inf + 119963 117.924 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 117.924 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 117.924 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) 117.924 * * [simplify]: iters left: 6 (12 enodes) 117.928 * * [simplify]: iters left: 5 (48 enodes) 117.941 * * [simplify]: iters left: 4 (71 enodes) 117.963 * * [simplify]: iters left: 3 (115 enodes) 118.006 * * [simplify]: iters left: 2 (229 enodes) 118.074 * * [simplify]: iters left: 1 (480 enodes) 118.281 * * [simplify]: Extracting #0: cost 1 inf + 0 118.281 * * [simplify]: Extracting #1: cost 57 inf + 0 118.282 * * [simplify]: Extracting #2: cost 161 inf + 0 118.282 * * [simplify]: Extracting #3: cost 252 inf + 3 118.283 * * [simplify]: Extracting #4: cost 271 inf + 100 118.285 * * [simplify]: Extracting #5: cost 252 inf + 2413 118.291 * * [simplify]: Extracting #6: cost 135 inf + 39909 118.320 * * [simplify]: Extracting #7: cost 10 inf + 131155 118.339 * * [simplify]: Extracting #8: cost 0 inf + 140030 118.361 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) 118.362 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 118.362 * * * * [progress]: [ 74 / 667 ] simplifiying candidate # 118.362 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 118.362 * * [simplify]: iters left: 6 (12 enodes) 118.369 * * [simplify]: iters left: 5 (48 enodes) 118.387 * * [simplify]: iters left: 4 (75 enodes) 118.400 * * [simplify]: iters left: 3 (114 enodes) 118.425 * * [simplify]: iters left: 2 (210 enodes) 118.489 * * [simplify]: iters left: 1 (451 enodes) 118.676 * * [simplify]: Extracting #0: cost 1 inf + 0 118.677 * * [simplify]: Extracting #1: cost 47 inf + 0 118.677 * * [simplify]: Extracting #2: cost 148 inf + 0 118.679 * * [simplify]: Extracting #3: cost 226 inf + 4 118.681 * * [simplify]: Extracting #4: cost 243 inf + 16 118.684 * * [simplify]: Extracting #5: cost 224 inf + 3407 118.698 * * [simplify]: Extracting #6: cost 75 inf + 67805 118.724 * * [simplify]: Extracting #7: cost 7 inf + 119548 118.742 * * [simplify]: Extracting #8: cost 0 inf + 125156 118.760 * * [simplify]: Extracting #9: cost 0 inf + 124523 118.789 * [simplify]: Simplified to (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) 118.789 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 118.790 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) 118.790 * * [simplify]: iters left: 6 (12 enodes) 118.796 * * [simplify]: iters left: 5 (48 enodes) 118.811 * * [simplify]: iters left: 4 (71 enodes) 118.824 * * [simplify]: iters left: 3 (115 enodes) 118.854 * * [simplify]: iters left: 2 (229 enodes) 118.913 * * [simplify]: iters left: 1 (480 enodes) 119.173 * * [simplify]: Extracting #0: cost 1 inf + 0 119.173 * * [simplify]: Extracting #1: cost 57 inf + 0 119.174 * * [simplify]: Extracting #2: cost 161 inf + 0 119.176 * * [simplify]: Extracting #3: cost 252 inf + 3 119.178 * * [simplify]: Extracting #4: cost 271 inf + 100 119.180 * * [simplify]: Extracting #5: cost 252 inf + 2453 119.192 * * [simplify]: Extracting #6: cost 135 inf + 39989 119.226 * * [simplify]: Extracting #7: cost 10 inf + 131235 119.257 * * [simplify]: Extracting #8: cost 0 inf + 140110 119.288 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) 119.288 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 119.289 * * * * [progress]: [ 75 / 667 ] simplifiying candidate # 119.289 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 119.289 * * [simplify]: iters left: 6 (12 enodes) 119.296 * * [simplify]: iters left: 5 (48 enodes) 119.304 * * [simplify]: iters left: 4 (75 enodes) 119.317 * * [simplify]: iters left: 3 (114 enodes) 119.352 * * [simplify]: iters left: 2 (210 enodes) 119.407 * * [simplify]: iters left: 1 (451 enodes) 119.625 * * [simplify]: Extracting #0: cost 1 inf + 0 119.625 * * [simplify]: Extracting #1: cost 47 inf + 0 119.626 * * [simplify]: Extracting #2: cost 147 inf + 0 119.627 * * [simplify]: Extracting #3: cost 225 inf + 4 119.629 * * [simplify]: Extracting #4: cost 243 inf + 16 119.632 * * [simplify]: Extracting #5: cost 226 inf + 3085 119.642 * * [simplify]: Extracting #6: cost 100 inf + 47747 119.673 * * [simplify]: Extracting #7: cost 16 inf + 111228 119.702 * * [simplify]: Extracting #8: cost 0 inf + 125156 119.732 * * [simplify]: Extracting #9: cost 0 inf + 124523 119.756 * [simplify]: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (fabs (cbrt k)))) 119.756 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (fabs (cbrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 119.756 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) 119.756 * * [simplify]: iters left: 6 (12 enodes) 119.760 * * [simplify]: iters left: 5 (48 enodes) 119.769 * * [simplify]: iters left: 4 (71 enodes) 119.781 * * [simplify]: iters left: 3 (115 enodes) 119.822 * * [simplify]: iters left: 2 (229 enodes) 119.895 * * [simplify]: iters left: 1 (480 enodes) 120.081 * * [simplify]: Extracting #0: cost 1 inf + 0 120.081 * * [simplify]: Extracting #1: cost 57 inf + 0 120.082 * * [simplify]: Extracting #2: cost 161 inf + 0 120.083 * * [simplify]: Extracting #3: cost 252 inf + 3 120.084 * * [simplify]: Extracting #4: cost 271 inf + 100 120.085 * * [simplify]: Extracting #5: cost 252 inf + 2533 120.091 * * [simplify]: Extracting #6: cost 135 inf + 40069 120.113 * * [simplify]: Extracting #7: cost 10 inf + 131315 120.155 * * [simplify]: Extracting #8: cost 0 inf + 140190 120.193 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) 120.193 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 120.193 * * * * [progress]: [ 76 / 667 ] simplifiying candidate # 120.193 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 120.193 * * [simplify]: iters left: 6 (11 enodes) 120.200 * * [simplify]: iters left: 5 (44 enodes) 120.215 * * [simplify]: iters left: 4 (71 enodes) 120.238 * * [simplify]: iters left: 3 (114 enodes) 120.277 * * [simplify]: iters left: 2 (211 enodes) 120.364 * * [simplify]: iters left: 1 (464 enodes) 120.565 * * [simplify]: Extracting #0: cost 1 inf + 0 120.565 * * [simplify]: Extracting #1: cost 47 inf + 0 120.566 * * [simplify]: Extracting #2: cost 161 inf + 0 120.567 * * [simplify]: Extracting #3: cost 238 inf + 4 120.568 * * [simplify]: Extracting #4: cost 257 inf + 16 120.573 * * [simplify]: Extracting #5: cost 229 inf + 7000 120.583 * * [simplify]: Extracting #6: cost 120 inf + 34994 120.600 * * [simplify]: Extracting #7: cost 23 inf + 102713 120.630 * * [simplify]: Extracting #8: cost 0 inf + 120609 120.650 * * [simplify]: Extracting #9: cost 0 inf + 118855 120.688 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 120.689 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 120.689 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 120.689 * * [simplify]: iters left: 6 (12 enodes) 120.696 * * [simplify]: iters left: 5 (48 enodes) 120.715 * * [simplify]: iters left: 4 (71 enodes) 120.728 * * [simplify]: iters left: 3 (115 enodes) 120.755 * * [simplify]: iters left: 2 (229 enodes) 120.828 * * [simplify]: iters left: 1 (480 enodes) 121.027 * * [simplify]: Extracting #0: cost 1 inf + 0 121.027 * * [simplify]: Extracting #1: cost 57 inf + 0 121.028 * * [simplify]: Extracting #2: cost 161 inf + 0 121.030 * * [simplify]: Extracting #3: cost 252 inf + 3 121.032 * * [simplify]: Extracting #4: cost 271 inf + 100 121.035 * * [simplify]: Extracting #5: cost 252 inf + 2333 121.042 * * [simplify]: Extracting #6: cost 135 inf + 38909 121.062 * * [simplify]: Extracting #7: cost 10 inf + 127715 121.092 * * [simplify]: Extracting #8: cost 0 inf + 136350 121.129 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 121.129 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 121.129 * * * * [progress]: [ 77 / 667 ] simplifiying candidate # 121.129 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) 121.129 * * [simplify]: iters left: 6 (10 enodes) 121.139 * * [simplify]: iters left: 5 (41 enodes) 121.153 * * [simplify]: iters left: 4 (66 enodes) 121.174 * * [simplify]: iters left: 3 (107 enodes) 121.215 * * [simplify]: iters left: 2 (204 enodes) 121.294 * * [simplify]: iters left: 1 (422 enodes) 121.553 * * [simplify]: Extracting #0: cost 1 inf + 0 121.553 * * [simplify]: Extracting #1: cost 57 inf + 0 121.555 * * [simplify]: Extracting #2: cost 161 inf + 3 121.556 * * [simplify]: Extracting #3: cost 213 inf + 8 121.559 * * [simplify]: Extracting #4: cost 186 inf + 5099 121.571 * * [simplify]: Extracting #5: cost 70 inf + 44506 121.595 * * [simplify]: Extracting #6: cost 4 inf + 89418 121.624 * * [simplify]: Extracting #7: cost 0 inf + 90611 121.655 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 121.656 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 121.656 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 121.656 * * [simplify]: iters left: 6 (11 enodes) 121.663 * * [simplify]: iters left: 5 (45 enodes) 121.677 * * [simplify]: iters left: 4 (68 enodes) 121.704 * * [simplify]: iters left: 3 (112 enodes) 121.748 * * [simplify]: iters left: 2 (229 enodes) 121.818 * * [simplify]: iters left: 1 (483 enodes) 122.067 * * [simplify]: Extracting #0: cost 1 inf + 0 122.067 * * [simplify]: Extracting #1: cost 52 inf + 0 122.068 * * [simplify]: Extracting #2: cost 155 inf + 0 122.068 * * [simplify]: Extracting #3: cost 249 inf + 3 122.071 * * [simplify]: Extracting #4: cost 232 inf + 8863 122.107 * * [simplify]: Extracting #5: cost 65 inf + 99107 122.164 * * [simplify]: Extracting #6: cost 0 inf + 124579 122.200 * * [simplify]: Extracting #7: cost 0 inf + 111979 122.239 * * [simplify]: Extracting #8: cost 0 inf + 110086 122.281 * * [simplify]: Extracting #9: cost 0 inf + 110006 122.323 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 122.323 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 122.323 * * * * [progress]: [ 78 / 667 ] simplifiying candidate # 122.324 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 122.324 * * [simplify]: iters left: 6 (11 enodes) 122.332 * * [simplify]: iters left: 5 (44 enodes) 122.348 * * [simplify]: iters left: 4 (71 enodes) 122.371 * * [simplify]: iters left: 3 (114 enodes) 122.410 * * [simplify]: iters left: 2 (211 enodes) 122.470 * * [simplify]: iters left: 1 (464 enodes) 122.732 * * [simplify]: Extracting #0: cost 1 inf + 0 122.732 * * [simplify]: Extracting #1: cost 47 inf + 0 122.733 * * [simplify]: Extracting #2: cost 161 inf + 0 122.735 * * [simplify]: Extracting #3: cost 238 inf + 4 122.737 * * [simplify]: Extracting #4: cost 257 inf + 16 122.740 * * [simplify]: Extracting #5: cost 229 inf + 7000 122.749 * * [simplify]: Extracting #6: cost 120 inf + 34994 122.766 * * [simplify]: Extracting #7: cost 23 inf + 102713 122.804 * * [simplify]: Extracting #8: cost 0 inf + 120609 122.839 * * [simplify]: Extracting #9: cost 0 inf + 118855 122.859 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 122.859 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 122.859 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 122.859 * * [simplify]: iters left: 6 (12 enodes) 122.863 * * [simplify]: iters left: 5 (48 enodes) 122.872 * * [simplify]: iters left: 4 (71 enodes) 122.895 * * [simplify]: iters left: 3 (115 enodes) 122.921 * * [simplify]: iters left: 2 (229 enodes) 122.968 * * [simplify]: iters left: 1 (480 enodes) 123.203 * * [simplify]: Extracting #0: cost 1 inf + 0 123.203 * * [simplify]: Extracting #1: cost 57 inf + 0 123.204 * * [simplify]: Extracting #2: cost 161 inf + 0 123.206 * * [simplify]: Extracting #3: cost 252 inf + 3 123.208 * * [simplify]: Extracting #4: cost 271 inf + 100 123.211 * * [simplify]: Extracting #5: cost 252 inf + 2333 123.223 * * [simplify]: Extracting #6: cost 135 inf + 38909 123.239 * * [simplify]: Extracting #7: cost 10 inf + 127715 123.268 * * [simplify]: Extracting #8: cost 0 inf + 136350 123.287 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 123.287 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 123.287 * * * * [progress]: [ 79 / 667 ] simplifiying candidate # 123.288 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 123.288 * * [simplify]: iters left: 6 (9 enodes) 123.291 * * [simplify]: iters left: 5 (38 enodes) 123.298 * * [simplify]: iters left: 4 (63 enodes) 123.316 * * [simplify]: iters left: 3 (104 enodes) 123.335 * * [simplify]: iters left: 2 (197 enodes) 123.386 * * [simplify]: iters left: 1 (427 enodes) 123.617 * * [simplify]: Extracting #0: cost 1 inf + 0 123.617 * * [simplify]: Extracting #1: cost 58 inf + 0 123.617 * * [simplify]: Extracting #2: cost 160 inf + 3 123.618 * * [simplify]: Extracting #3: cost 212 inf + 8 123.619 * * [simplify]: Extracting #4: cost 189 inf + 3421 123.624 * * [simplify]: Extracting #5: cost 94 inf + 28955 123.635 * * [simplify]: Extracting #6: cost 13 inf + 88735 123.650 * * [simplify]: Extracting #7: cost 0 inf + 94184 123.672 * * [simplify]: Extracting #8: cost 0 inf + 91292 123.699 * * [simplify]: Extracting #9: cost 0 inf + 90659 123.718 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 123.718 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 123.718 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 123.718 * * [simplify]: iters left: 6 (11 enodes) 123.725 * * [simplify]: iters left: 5 (45 enodes) 123.735 * * [simplify]: iters left: 4 (68 enodes) 123.747 * * [simplify]: iters left: 3 (112 enodes) 123.777 * * [simplify]: iters left: 2 (229 enodes) 123.846 * * [simplify]: iters left: 1 (483 enodes) 124.059 * * [simplify]: Extracting #0: cost 1 inf + 0 124.060 * * [simplify]: Extracting #1: cost 52 inf + 0 124.060 * * [simplify]: Extracting #2: cost 155 inf + 0 124.061 * * [simplify]: Extracting #3: cost 249 inf + 3 124.063 * * [simplify]: Extracting #4: cost 232 inf + 8863 124.090 * * [simplify]: Extracting #5: cost 65 inf + 99107 124.138 * * [simplify]: Extracting #6: cost 0 inf + 124579 124.170 * * [simplify]: Extracting #7: cost 0 inf + 111979 124.225 * * [simplify]: Extracting #8: cost 0 inf + 110086 124.256 * * [simplify]: Extracting #9: cost 0 inf + 110006 124.300 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 124.300 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 124.300 * * * * [progress]: [ 80 / 667 ] simplifiying candidate # 124.300 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 124.300 * * [simplify]: iters left: 6 (11 enodes) 124.304 * * [simplify]: iters left: 5 (44 enodes) 124.312 * * [simplify]: iters left: 4 (71 enodes) 124.328 * * [simplify]: iters left: 3 (114 enodes) 124.368 * * [simplify]: iters left: 2 (211 enodes) 124.424 * * [simplify]: iters left: 1 (464 enodes) 124.653 * * [simplify]: Extracting #0: cost 1 inf + 0 124.653 * * [simplify]: Extracting #1: cost 47 inf + 0 124.654 * * [simplify]: Extracting #2: cost 161 inf + 0 124.654 * * [simplify]: Extracting #3: cost 238 inf + 4 124.655 * * [simplify]: Extracting #4: cost 257 inf + 16 124.657 * * [simplify]: Extracting #5: cost 229 inf + 7000 124.667 * * [simplify]: Extracting #6: cost 120 inf + 34994 124.683 * * [simplify]: Extracting #7: cost 23 inf + 102713 124.703 * * [simplify]: Extracting #8: cost 0 inf + 120609 124.731 * * [simplify]: Extracting #9: cost 0 inf + 118855 124.771 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 124.771 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 124.771 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 124.771 * * [simplify]: iters left: 6 (12 enodes) 124.778 * * [simplify]: iters left: 5 (48 enodes) 124.793 * * [simplify]: iters left: 4 (71 enodes) 124.805 * * [simplify]: iters left: 3 (115 enodes) 124.834 * * [simplify]: iters left: 2 (229 enodes) 124.924 * * [simplify]: iters left: 1 (480 enodes) 125.157 * * [simplify]: Extracting #0: cost 1 inf + 0 125.157 * * [simplify]: Extracting #1: cost 57 inf + 0 125.158 * * [simplify]: Extracting #2: cost 161 inf + 0 125.160 * * [simplify]: Extracting #3: cost 252 inf + 3 125.162 * * [simplify]: Extracting #4: cost 271 inf + 100 125.165 * * [simplify]: Extracting #5: cost 252 inf + 2333 125.177 * * [simplify]: Extracting #6: cost 135 inf + 38909 125.215 * * [simplify]: Extracting #7: cost 10 inf + 127715 125.243 * * [simplify]: Extracting #8: cost 0 inf + 136350 125.262 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 125.262 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 125.262 * * * * [progress]: [ 81 / 667 ] simplifiying candidate # 125.263 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 125.263 * * [simplify]: iters left: 6 (8 enodes) 125.268 * * [simplify]: iters left: 5 (33 enodes) 125.280 * * [simplify]: iters left: 4 (56 enodes) 125.300 * * [simplify]: iters left: 3 (104 enodes) 125.346 * * [simplify]: iters left: 2 (223 enodes) 125.428 * * [simplify]: Extracting #0: cost 1 inf + 0 125.428 * * [simplify]: Extracting #1: cost 32 inf + 0 125.428 * * [simplify]: Extracting #2: cost 98 inf + 3 125.428 * * [simplify]: Extracting #3: cost 138 inf + 7 125.429 * * [simplify]: Extracting #4: cost 130 inf + 1348 125.432 * * [simplify]: Extracting #5: cost 55 inf + 20399 125.438 * * [simplify]: Extracting #6: cost 2 inf + 49414 125.448 * * [simplify]: Extracting #7: cost 0 inf + 50164 125.459 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 125.459 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 125.459 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 125.459 * * [simplify]: iters left: 6 (11 enodes) 125.466 * * [simplify]: iters left: 5 (45 enodes) 125.481 * * [simplify]: iters left: 4 (68 enodes) 125.504 * * [simplify]: iters left: 3 (112 enodes) 125.547 * * [simplify]: iters left: 2 (229 enodes) 125.641 * * [simplify]: iters left: 1 (483 enodes) 125.882 * * [simplify]: Extracting #0: cost 1 inf + 0 125.883 * * [simplify]: Extracting #1: cost 52 inf + 0 125.883 * * [simplify]: Extracting #2: cost 155 inf + 0 125.884 * * [simplify]: Extracting #3: cost 249 inf + 3 125.886 * * [simplify]: Extracting #4: cost 232 inf + 8863 125.908 * * [simplify]: Extracting #5: cost 65 inf + 99107 125.956 * * [simplify]: Extracting #6: cost 0 inf + 124579 126.000 * * [simplify]: Extracting #7: cost 0 inf + 111979 126.037 * * [simplify]: Extracting #8: cost 0 inf + 110086 126.083 * * [simplify]: Extracting #9: cost 0 inf + 110006 126.139 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 126.139 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 126.140 * * * * [progress]: [ 82 / 667 ] simplifiying candidate # 126.140 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 126.140 * * [simplify]: iters left: 6 (17 enodes) 126.149 * * [simplify]: iters left: 5 (72 enodes) 126.173 * * [simplify]: iters left: 4 (116 enodes) 126.209 * * [simplify]: iters left: 3 (166 enodes) 126.260 * * [simplify]: iters left: 2 (267 enodes) 126.327 * * [simplify]: iters left: 1 (445 enodes) 126.476 * * [simplify]: Extracting #0: cost 1 inf + 0 126.476 * * [simplify]: Extracting #1: cost 11 inf + 0 126.476 * * [simplify]: Extracting #2: cost 22 inf + 0 126.477 * * [simplify]: Extracting #3: cost 52 inf + 0 126.477 * * [simplify]: Extracting #4: cost 132 inf + 1 126.479 * * [simplify]: Extracting #5: cost 187 inf + 260 126.481 * * [simplify]: Extracting #6: cost 155 inf + 3856 126.488 * * [simplify]: Extracting #7: cost 73 inf + 22117 126.506 * * [simplify]: Extracting #8: cost 17 inf + 61994 126.531 * * [simplify]: Extracting #9: cost 0 inf + 76113 126.555 * * [simplify]: Extracting #10: cost 0 inf + 74676 126.584 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) 126.584 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 126.584 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) 126.585 * * [simplify]: iters left: 6 (15 enodes) 126.594 * * [simplify]: iters left: 5 (60 enodes) 126.612 * * [simplify]: iters left: 4 (93 enodes) 126.627 * * [simplify]: iters left: 3 (136 enodes) 126.655 * * [simplify]: iters left: 2 (217 enodes) 126.709 * * [simplify]: iters left: 1 (396 enodes) 126.870 * * [simplify]: Extracting #0: cost 1 inf + 0 126.870 * * [simplify]: Extracting #1: cost 4 inf + 0 126.870 * * [simplify]: Extracting #2: cost 8 inf + 0 126.870 * * [simplify]: Extracting #3: cost 38 inf + 0 126.871 * * [simplify]: Extracting #4: cost 116 inf + 1 126.871 * * [simplify]: Extracting #5: cost 172 inf + 219 126.873 * * [simplify]: Extracting #6: cost 123 inf + 7290 126.883 * * [simplify]: Extracting #7: cost 38 inf + 34184 126.903 * * [simplify]: Extracting #8: cost 1 inf + 64786 126.920 * * [simplify]: Extracting #9: cost 0 inf + 64378 126.931 * * [simplify]: Extracting #10: cost 0 inf + 64327 126.942 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) 126.942 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 126.942 * * * * [progress]: [ 83 / 667 ] simplifiying candidate # 126.943 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 126.943 * * [simplify]: iters left: 6 (17 enodes) 126.948 * * [simplify]: iters left: 5 (69 enodes) 126.975 * * [simplify]: iters left: 4 (106 enodes) 127.005 * * [simplify]: iters left: 3 (151 enodes) 127.031 * * [simplify]: iters left: 2 (232 enodes) 127.106 * * [simplify]: iters left: 1 (417 enodes) 127.256 * * [simplify]: Extracting #0: cost 1 inf + 0 127.256 * * [simplify]: Extracting #1: cost 7 inf + 0 127.256 * * [simplify]: Extracting #2: cost 15 inf + 0 127.256 * * [simplify]: Extracting #3: cost 44 inf + 0 127.256 * * [simplify]: Extracting #4: cost 124 inf + 1 127.257 * * [simplify]: Extracting #5: cost 176 inf + 760 127.259 * * [simplify]: Extracting #6: cost 124 inf + 9929 127.266 * * [simplify]: Extracting #7: cost 16 inf + 53877 127.277 * * [simplify]: Extracting #8: cost 0 inf + 65852 127.297 * * [simplify]: Extracting #9: cost 0 inf + 64878 127.314 * * [simplify]: Extracting #10: cost 0 inf + 64838 127.324 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt (sqrt k)))) 127.325 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 127.325 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) 127.325 * * [simplify]: iters left: 6 (15 enodes) 127.329 * * [simplify]: iters left: 5 (60 enodes) 127.341 * * [simplify]: iters left: 4 (93 enodes) 127.366 * * [simplify]: iters left: 3 (136 enodes) 127.396 * * [simplify]: iters left: 2 (217 enodes) 127.457 * * [simplify]: iters left: 1 (396 enodes) 127.642 * * [simplify]: Extracting #0: cost 1 inf + 0 127.642 * * [simplify]: Extracting #1: cost 4 inf + 0 127.642 * * [simplify]: Extracting #2: cost 8 inf + 0 127.642 * * [simplify]: Extracting #3: cost 38 inf + 0 127.643 * * [simplify]: Extracting #4: cost 116 inf + 1 127.643 * * [simplify]: Extracting #5: cost 172 inf + 219 127.645 * * [simplify]: Extracting #6: cost 123 inf + 7330 127.650 * * [simplify]: Extracting #7: cost 38 inf + 34264 127.674 * * [simplify]: Extracting #8: cost 1 inf + 64866 127.696 * * [simplify]: Extracting #9: cost 0 inf + 64458 127.717 * * [simplify]: Extracting #10: cost 0 inf + 64407 127.739 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) 127.740 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 127.740 * * * * [progress]: [ 84 / 667 ] simplifiying candidate # 127.740 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 127.740 * * [simplify]: iters left: 6 (17 enodes) 127.749 * * [simplify]: iters left: 5 (69 enodes) 127.772 * * [simplify]: iters left: 4 (106 enodes) 127.804 * * [simplify]: iters left: 3 (151 enodes) 127.831 * * [simplify]: iters left: 2 (232 enodes) 127.888 * * [simplify]: iters left: 1 (417 enodes) 128.065 * * [simplify]: Extracting #0: cost 1 inf + 0 128.065 * * [simplify]: Extracting #1: cost 7 inf + 0 128.065 * * [simplify]: Extracting #2: cost 14 inf + 0 128.066 * * [simplify]: Extracting #3: cost 43 inf + 0 128.066 * * [simplify]: Extracting #4: cost 124 inf + 1 128.068 * * [simplify]: Extracting #5: cost 176 inf + 760 128.072 * * [simplify]: Extracting #6: cost 123 inf + 10050 128.085 * * [simplify]: Extracting #7: cost 18 inf + 52837 128.111 * * [simplify]: Extracting #8: cost 0 inf + 66063 128.131 * * [simplify]: Extracting #9: cost 0 inf + 64878 128.142 * * [simplify]: Extracting #10: cost 0 inf + 64838 128.152 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (fabs (cbrt k)))) 128.152 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (fabs (cbrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 128.153 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) 128.153 * * [simplify]: iters left: 6 (15 enodes) 128.157 * * [simplify]: iters left: 5 (60 enodes) 128.174 * * [simplify]: iters left: 4 (93 enodes) 128.203 * * [simplify]: iters left: 3 (136 enodes) 128.233 * * [simplify]: iters left: 2 (217 enodes) 128.307 * * [simplify]: iters left: 1 (396 enodes) 128.483 * * [simplify]: Extracting #0: cost 1 inf + 0 128.483 * * [simplify]: Extracting #1: cost 4 inf + 0 128.483 * * [simplify]: Extracting #2: cost 8 inf + 0 128.483 * * [simplify]: Extracting #3: cost 38 inf + 0 128.484 * * [simplify]: Extracting #4: cost 116 inf + 1 128.485 * * [simplify]: Extracting #5: cost 172 inf + 219 128.489 * * [simplify]: Extracting #6: cost 123 inf + 7410 128.500 * * [simplify]: Extracting #7: cost 38 inf + 34344 128.516 * * [simplify]: Extracting #8: cost 1 inf + 64946 128.527 * * [simplify]: Extracting #9: cost 0 inf + 64538 128.547 * * [simplify]: Extracting #10: cost 0 inf + 64487 128.568 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) 128.568 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 128.568 * * * * [progress]: [ 85 / 667 ] simplifiying candidate # 128.568 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 128.568 * * [simplify]: iters left: 6 (16 enodes) 128.573 * * [simplify]: iters left: 5 (65 enodes) 128.585 * * [simplify]: iters left: 4 (102 enodes) 128.606 * * [simplify]: iters left: 3 (144 enodes) 128.652 * * [simplify]: iters left: 2 (224 enodes) 128.728 * * [simplify]: iters left: 1 (400 enodes) 128.875 * * [simplify]: Extracting #0: cost 1 inf + 0 128.875 * * [simplify]: Extracting #1: cost 7 inf + 0 128.875 * * [simplify]: Extracting #2: cost 14 inf + 0 128.875 * * [simplify]: Extracting #3: cost 44 inf + 0 128.876 * * [simplify]: Extracting #4: cost 122 inf + 1 128.877 * * [simplify]: Extracting #5: cost 163 inf + 761 128.882 * * [simplify]: Extracting #6: cost 112 inf + 9923 128.893 * * [simplify]: Extracting #7: cost 43 inf + 34109 128.912 * * [simplify]: Extracting #8: cost 0 inf + 68313 128.924 * * [simplify]: Extracting #9: cost 0 inf + 67369 128.934 * * [simplify]: Extracting #10: cost 0 inf + 67330 128.945 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 128.945 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 128.945 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 128.946 * * [simplify]: iters left: 6 (15 enodes) 128.953 * * [simplify]: iters left: 5 (60 enodes) 128.972 * * [simplify]: iters left: 4 (93 enodes) 129.000 * * [simplify]: iters left: 3 (136 enodes) 129.024 * * [simplify]: iters left: 2 (217 enodes) 129.079 * * [simplify]: iters left: 1 (396 enodes) 129.235 * * [simplify]: Extracting #0: cost 1 inf + 0 129.235 * * [simplify]: Extracting #1: cost 4 inf + 0 129.235 * * [simplify]: Extracting #2: cost 8 inf + 0 129.235 * * [simplify]: Extracting #3: cost 38 inf + 0 129.235 * * [simplify]: Extracting #4: cost 116 inf + 1 129.236 * * [simplify]: Extracting #5: cost 172 inf + 219 129.238 * * [simplify]: Extracting #6: cost 123 inf + 7210 129.249 * * [simplify]: Extracting #7: cost 38 inf + 34064 129.260 * * [simplify]: Extracting #8: cost 1 inf + 64626 129.272 * * [simplify]: Extracting #9: cost 0 inf + 64218 129.283 * * [simplify]: Extracting #10: cost 0 inf + 64167 129.301 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 129.301 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 129.301 * * * * [progress]: [ 86 / 667 ] simplifiying candidate # 129.301 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) 129.302 * * [simplify]: iters left: 6 (15 enodes) 129.312 * * [simplify]: iters left: 5 (62 enodes) 129.332 * * [simplify]: iters left: 4 (99 enodes) 129.361 * * [simplify]: iters left: 3 (145 enodes) 129.409 * * [simplify]: iters left: 2 (231 enodes) 129.489 * * [simplify]: iters left: 1 (413 enodes) 129.668 * * [simplify]: Extracting #0: cost 1 inf + 0 129.668 * * [simplify]: Extracting #1: cost 5 inf + 0 129.668 * * [simplify]: Extracting #2: cost 7 inf + 1 129.668 * * [simplify]: Extracting #3: cost 34 inf + 1 129.669 * * [simplify]: Extracting #4: cost 111 inf + 2 129.669 * * [simplify]: Extracting #5: cost 167 inf + 218 129.670 * * [simplify]: Extracting #6: cost 166 inf + 811 129.673 * * [simplify]: Extracting #7: cost 86 inf + 13536 129.680 * * [simplify]: Extracting #8: cost 26 inf + 45786 129.695 * * [simplify]: Extracting #9: cost 1 inf + 66079 129.706 * * [simplify]: Extracting #10: cost 0 inf + 65876 129.717 * * [simplify]: Extracting #11: cost 0 inf + 65797 129.728 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 129.728 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 129.729 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 129.729 * * [simplify]: iters left: 6 (14 enodes) 129.733 * * [simplify]: iters left: 5 (57 enodes) 129.743 * * [simplify]: iters left: 4 (90 enodes) 129.758 * * [simplify]: iters left: 3 (129 enodes) 129.783 * * [simplify]: iters left: 2 (209 enodes) 129.859 * * [simplify]: iters left: 1 (388 enodes) 129.982 * * [simplify]: Extracting #0: cost 1 inf + 0 129.982 * * [simplify]: Extracting #1: cost 4 inf + 0 129.982 * * [simplify]: Extracting #2: cost 8 inf + 0 129.983 * * [simplify]: Extracting #3: cost 37 inf + 0 129.983 * * [simplify]: Extracting #4: cost 114 inf + 124 129.984 * * [simplify]: Extracting #5: cost 155 inf + 794 129.986 * * [simplify]: Extracting #6: cost 102 inf + 7947 129.992 * * [simplify]: Extracting #7: cost 43 inf + 35589 130.001 * * [simplify]: Extracting #8: cost 7 inf + 63835 130.011 * * [simplify]: Extracting #9: cost 0 inf + 70037 130.021 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 130.021 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 130.021 * * * * [progress]: [ 87 / 667 ] simplifiying candidate # 130.022 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 130.022 * * [simplify]: iters left: 6 (16 enodes) 130.026 * * [simplify]: iters left: 5 (65 enodes) 130.041 * * [simplify]: iters left: 4 (102 enodes) 130.063 * * [simplify]: iters left: 3 (144 enodes) 130.109 * * [simplify]: iters left: 2 (224 enodes) 130.171 * * [simplify]: iters left: 1 (400 enodes) 130.331 * * [simplify]: Extracting #0: cost 1 inf + 0 130.331 * * [simplify]: Extracting #1: cost 7 inf + 0 130.331 * * [simplify]: Extracting #2: cost 14 inf + 0 130.331 * * [simplify]: Extracting #3: cost 44 inf + 0 130.332 * * [simplify]: Extracting #4: cost 122 inf + 1 130.333 * * [simplify]: Extracting #5: cost 163 inf + 761 130.337 * * [simplify]: Extracting #6: cost 112 inf + 9923 130.348 * * [simplify]: Extracting #7: cost 43 inf + 34109 130.371 * * [simplify]: Extracting #8: cost 0 inf + 68313 130.389 * * [simplify]: Extracting #9: cost 0 inf + 67369 130.400 * * [simplify]: Extracting #10: cost 0 inf + 67330 130.410 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 130.411 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 130.411 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 130.411 * * [simplify]: iters left: 6 (15 enodes) 130.415 * * [simplify]: iters left: 5 (60 enodes) 130.426 * * [simplify]: iters left: 4 (93 enodes) 130.447 * * [simplify]: iters left: 3 (136 enodes) 130.494 * * [simplify]: iters left: 2 (217 enodes) 130.547 * * [simplify]: iters left: 1 (396 enodes) 130.723 * * [simplify]: Extracting #0: cost 1 inf + 0 130.723 * * [simplify]: Extracting #1: cost 4 inf + 0 130.723 * * [simplify]: Extracting #2: cost 8 inf + 0 130.723 * * [simplify]: Extracting #3: cost 38 inf + 0 130.723 * * [simplify]: Extracting #4: cost 116 inf + 1 130.724 * * [simplify]: Extracting #5: cost 172 inf + 219 130.726 * * [simplify]: Extracting #6: cost 123 inf + 7210 130.731 * * [simplify]: Extracting #7: cost 38 inf + 34064 130.741 * * [simplify]: Extracting #8: cost 1 inf + 64626 130.757 * * [simplify]: Extracting #9: cost 0 inf + 64218 130.783 * * [simplify]: Extracting #10: cost 0 inf + 64167 130.798 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 130.798 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 130.798 * * * * [progress]: [ 88 / 667 ] simplifiying candidate # 130.798 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 130.799 * * [simplify]: iters left: 6 (14 enodes) 130.803 * * [simplify]: iters left: 5 (59 enodes) 130.813 * * [simplify]: iters left: 4 (96 enodes) 130.832 * * [simplify]: iters left: 3 (138 enodes) 130.868 * * [simplify]: iters left: 2 (219 enodes) 130.927 * * [simplify]: iters left: 1 (402 enodes) 131.066 * * [simplify]: Extracting #0: cost 1 inf + 0 131.066 * * [simplify]: Extracting #1: cost 5 inf + 0 131.066 * * [simplify]: Extracting #2: cost 7 inf + 1 131.066 * * [simplify]: Extracting #3: cost 35 inf + 1 131.067 * * [simplify]: Extracting #4: cost 110 inf + 2 131.068 * * [simplify]: Extracting #5: cost 169 inf + 218 131.070 * * [simplify]: Extracting #6: cost 169 inf + 1019 131.074 * * [simplify]: Extracting #7: cost 103 inf + 9959 131.087 * * [simplify]: Extracting #8: cost 30 inf + 40108 131.107 * * [simplify]: Extracting #9: cost 0 inf + 66758 131.119 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 131.119 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 131.119 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 131.119 * * [simplify]: iters left: 6 (14 enodes) 131.123 * * [simplify]: iters left: 5 (57 enodes) 131.133 * * [simplify]: iters left: 4 (90 enodes) 131.159 * * [simplify]: iters left: 3 (129 enodes) 131.181 * * [simplify]: iters left: 2 (209 enodes) 131.256 * * [simplify]: iters left: 1 (388 enodes) 131.393 * * [simplify]: Extracting #0: cost 1 inf + 0 131.393 * * [simplify]: Extracting #1: cost 4 inf + 0 131.394 * * [simplify]: Extracting #2: cost 8 inf + 0 131.394 * * [simplify]: Extracting #3: cost 37 inf + 0 131.394 * * [simplify]: Extracting #4: cost 114 inf + 124 131.395 * * [simplify]: Extracting #5: cost 155 inf + 794 131.397 * * [simplify]: Extracting #6: cost 102 inf + 7947 131.402 * * [simplify]: Extracting #7: cost 43 inf + 35589 131.412 * * [simplify]: Extracting #8: cost 7 inf + 63835 131.434 * * [simplify]: Extracting #9: cost 0 inf + 70037 131.450 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 131.451 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 131.451 * * * * [progress]: [ 89 / 667 ] simplifiying candidate # 131.451 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 131.451 * * [simplify]: iters left: 6 (16 enodes) 131.456 * * [simplify]: iters left: 5 (65 enodes) 131.467 * * [simplify]: iters left: 4 (102 enodes) 131.497 * * [simplify]: iters left: 3 (144 enodes) 131.529 * * [simplify]: iters left: 2 (224 enodes) 131.590 * * [simplify]: iters left: 1 (400 enodes) 131.753 * * [simplify]: Extracting #0: cost 1 inf + 0 131.753 * * [simplify]: Extracting #1: cost 7 inf + 0 131.753 * * [simplify]: Extracting #2: cost 14 inf + 0 131.753 * * [simplify]: Extracting #3: cost 44 inf + 0 131.754 * * [simplify]: Extracting #4: cost 122 inf + 1 131.755 * * [simplify]: Extracting #5: cost 163 inf + 761 131.759 * * [simplify]: Extracting #6: cost 112 inf + 9923 131.764 * * [simplify]: Extracting #7: cost 43 inf + 34109 131.774 * * [simplify]: Extracting #8: cost 0 inf + 68313 131.784 * * [simplify]: Extracting #9: cost 0 inf + 67369 131.799 * * [simplify]: Extracting #10: cost 0 inf + 67330 131.813 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 131.813 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 131.814 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 131.814 * * [simplify]: iters left: 6 (15 enodes) 131.818 * * [simplify]: iters left: 5 (60 enodes) 131.829 * * [simplify]: iters left: 4 (93 enodes) 131.858 * * [simplify]: iters left: 3 (136 enodes) 131.880 * * [simplify]: iters left: 2 (217 enodes) 131.955 * * [simplify]: iters left: 1 (396 enodes) 132.141 * * [simplify]: Extracting #0: cost 1 inf + 0 132.141 * * [simplify]: Extracting #1: cost 4 inf + 0 132.141 * * [simplify]: Extracting #2: cost 8 inf + 0 132.141 * * [simplify]: Extracting #3: cost 38 inf + 0 132.142 * * [simplify]: Extracting #4: cost 116 inf + 1 132.142 * * [simplify]: Extracting #5: cost 172 inf + 219 132.144 * * [simplify]: Extracting #6: cost 123 inf + 7210 132.153 * * [simplify]: Extracting #7: cost 38 inf + 34064 132.165 * * [simplify]: Extracting #8: cost 1 inf + 64626 132.187 * * [simplify]: Extracting #9: cost 0 inf + 64218 132.210 * * [simplify]: Extracting #10: cost 0 inf + 64167 132.233 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 132.233 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 132.233 * * * * [progress]: [ 90 / 667 ] simplifiying candidate # 132.234 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 132.234 * * [simplify]: iters left: 6 (13 enodes) 132.242 * * [simplify]: iters left: 5 (54 enodes) 132.260 * * [simplify]: iters left: 4 (95 enodes) 132.288 * * [simplify]: iters left: 3 (139 enodes) 132.315 * * [simplify]: iters left: 2 (220 enodes) 132.368 * * [simplify]: iters left: 1 (398 enodes) 132.520 * * [simplify]: Extracting #0: cost 1 inf + 0 132.520 * * [simplify]: Extracting #1: cost 5 inf + 0 132.520 * * [simplify]: Extracting #2: cost 7 inf + 1 132.520 * * [simplify]: Extracting #3: cost 36 inf + 1 132.520 * * [simplify]: Extracting #4: cost 116 inf + 2 132.521 * * [simplify]: Extracting #5: cost 176 inf + 176 132.523 * * [simplify]: Extracting #6: cost 148 inf + 5073 132.528 * * [simplify]: Extracting #7: cost 49 inf + 28737 132.541 * * [simplify]: Extracting #8: cost 2 inf + 65576 132.562 * * [simplify]: Extracting #9: cost 0 inf + 64747 132.592 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 132.592 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 132.593 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 132.593 * * [simplify]: iters left: 6 (14 enodes) 132.600 * * [simplify]: iters left: 5 (57 enodes) 132.618 * * [simplify]: iters left: 4 (90 enodes) 132.635 * * [simplify]: iters left: 3 (129 enodes) 132.660 * * [simplify]: iters left: 2 (209 enodes) 132.736 * * [simplify]: iters left: 1 (388 enodes) 132.885 * * [simplify]: Extracting #0: cost 1 inf + 0 132.885 * * [simplify]: Extracting #1: cost 4 inf + 0 132.885 * * [simplify]: Extracting #2: cost 8 inf + 0 132.885 * * [simplify]: Extracting #3: cost 37 inf + 0 132.891 * * [simplify]: Extracting #4: cost 114 inf + 124 132.892 * * [simplify]: Extracting #5: cost 155 inf + 794 132.897 * * [simplify]: Extracting #6: cost 102 inf + 7947 132.908 * * [simplify]: Extracting #7: cost 43 inf + 35589 132.926 * * [simplify]: Extracting #8: cost 7 inf + 63835 132.947 * * [simplify]: Extracting #9: cost 0 inf + 70037 132.965 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 132.965 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 132.966 * * * * [progress]: [ 91 / 667 ] simplifiying candidate # 132.966 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 132.966 * * [simplify]: iters left: 6 (16 enodes) 132.971 * * [simplify]: iters left: 5 (65 enodes) 132.982 * * [simplify]: iters left: 4 (101 enodes) 133.005 * * [simplify]: iters left: 3 (139 enodes) 133.031 * * [simplify]: iters left: 2 (219 enodes) 133.104 * * [simplify]: iters left: 1 (400 enodes) 133.298 * * [simplify]: Extracting #0: cost 1 inf + 0 133.298 * * [simplify]: Extracting #1: cost 6 inf + 0 133.298 * * [simplify]: Extracting #2: cost 13 inf + 0 133.299 * * [simplify]: Extracting #3: cost 42 inf + 0 133.299 * * [simplify]: Extracting #4: cost 130 inf + 1 133.301 * * [simplify]: Extracting #5: cost 166 inf + 345 133.305 * * [simplify]: Extracting #6: cost 112 inf + 9866 133.320 * * [simplify]: Extracting #7: cost 19 inf + 54924 133.344 * * [simplify]: Extracting #8: cost 0 inf + 65631 133.359 * * [simplify]: Extracting #9: cost 0 inf + 63824 133.374 * * [simplify]: Extracting #10: cost 0 inf + 63624 133.390 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 133.390 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 133.390 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) 133.391 * * [simplify]: iters left: 6 (15 enodes) 133.398 * * [simplify]: iters left: 5 (60 enodes) 133.418 * * [simplify]: iters left: 4 (94 enodes) 133.447 * * [simplify]: iters left: 3 (137 enodes) 133.492 * * [simplify]: iters left: 2 (222 enodes) 133.557 * * [simplify]: iters left: 1 (404 enodes) 133.742 * * [simplify]: Extracting #0: cost 1 inf + 0 133.742 * * [simplify]: Extracting #1: cost 4 inf + 0 133.742 * * [simplify]: Extracting #2: cost 9 inf + 0 133.742 * * [simplify]: Extracting #3: cost 43 inf + 0 133.743 * * [simplify]: Extracting #4: cost 137 inf + 1 133.744 * * [simplify]: Extracting #5: cost 177 inf + 220 133.747 * * [simplify]: Extracting #6: cost 136 inf + 7017 133.759 * * [simplify]: Extracting #7: cost 42 inf + 38013 133.769 * * [simplify]: Extracting #8: cost 0 inf + 67464 133.780 * * [simplify]: Extracting #9: cost 0 inf + 66896 133.793 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) 133.793 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 133.793 * * * * [progress]: [ 92 / 667 ] simplifiying candidate # 133.794 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 133.794 * * [simplify]: iters left: 6 (16 enodes) 133.807 * * [simplify]: iters left: 5 (64 enodes) 133.826 * * [simplify]: iters left: 4 (98 enodes) 133.841 * * [simplify]: iters left: 3 (137 enodes) 133.872 * * [simplify]: iters left: 2 (217 enodes) 133.922 * * [simplify]: iters left: 1 (391 enodes) 134.033 * * [simplify]: Extracting #0: cost 1 inf + 0 134.033 * * [simplify]: Extracting #1: cost 4 inf + 0 134.033 * * [simplify]: Extracting #2: cost 10 inf + 0 134.033 * * [simplify]: Extracting #3: cost 44 inf + 0 134.034 * * [simplify]: Extracting #4: cost 129 inf + 1 134.035 * * [simplify]: Extracting #5: cost 175 inf + 220 134.038 * * [simplify]: Extracting #6: cost 124 inf + 6125 134.052 * * [simplify]: Extracting #7: cost 49 inf + 24184 134.069 * * [simplify]: Extracting #8: cost 7 inf + 58631 134.088 * * [simplify]: Extracting #9: cost 0 inf + 64002 134.099 * * [simplify]: Extracting #10: cost 0 inf + 62730 134.110 * * [simplify]: Extracting #11: cost 0 inf + 62307 134.120 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) 134.120 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 134.120 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) 134.120 * * [simplify]: iters left: 6 (15 enodes) 134.125 * * [simplify]: iters left: 5 (60 enodes) 134.135 * * [simplify]: iters left: 4 (94 enodes) 134.160 * * [simplify]: iters left: 3 (137 enodes) 134.184 * * [simplify]: iters left: 2 (222 enodes) 134.237 * * [simplify]: iters left: 1 (404 enodes) 134.412 * * [simplify]: Extracting #0: cost 1 inf + 0 134.412 * * [simplify]: Extracting #1: cost 4 inf + 0 134.412 * * [simplify]: Extracting #2: cost 9 inf + 0 134.413 * * [simplify]: Extracting #3: cost 43 inf + 0 134.413 * * [simplify]: Extracting #4: cost 137 inf + 1 134.414 * * [simplify]: Extracting #5: cost 177 inf + 220 134.415 * * [simplify]: Extracting #6: cost 136 inf + 7057 134.421 * * [simplify]: Extracting #7: cost 42 inf + 38093 134.436 * * [simplify]: Extracting #8: cost 0 inf + 67544 134.451 * * [simplify]: Extracting #9: cost 0 inf + 66976 134.473 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) 134.473 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 134.473 * * * * [progress]: [ 93 / 667 ] simplifiying candidate # 134.473 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 134.474 * * [simplify]: iters left: 6 (16 enodes) 134.482 * * [simplify]: iters left: 5 (64 enodes) 134.497 * * [simplify]: iters left: 4 (98 enodes) 134.512 * * [simplify]: iters left: 3 (137 enodes) 134.548 * * [simplify]: iters left: 2 (217 enodes) 134.598 * * [simplify]: iters left: 1 (391 enodes) 134.775 * * [simplify]: Extracting #0: cost 1 inf + 0 134.775 * * [simplify]: Extracting #1: cost 4 inf + 0 134.775 * * [simplify]: Extracting #2: cost 9 inf + 0 134.775 * * [simplify]: Extracting #3: cost 43 inf + 0 134.776 * * [simplify]: Extracting #4: cost 129 inf + 1 134.777 * * [simplify]: Extracting #5: cost 175 inf + 220 134.778 * * [simplify]: Extracting #6: cost 124 inf + 6206 134.783 * * [simplify]: Extracting #7: cost 37 inf + 33510 134.797 * * [simplify]: Extracting #8: cost 1 inf + 64107 134.818 * * [simplify]: Extracting #9: cost 0 inf + 62074 134.840 * * [simplify]: Extracting #10: cost 0 inf + 61492 134.861 * * [simplify]: Extracting #11: cost 0 inf + 61453 134.886 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k)))) 134.886 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 134.887 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) 134.887 * * [simplify]: iters left: 6 (15 enodes) 134.895 * * [simplify]: iters left: 5 (60 enodes) 134.915 * * [simplify]: iters left: 4 (94 enodes) 134.944 * * [simplify]: iters left: 3 (137 enodes) 134.988 * * [simplify]: iters left: 2 (222 enodes) 135.072 * * [simplify]: iters left: 1 (404 enodes) 135.267 * * [simplify]: Extracting #0: cost 1 inf + 0 135.267 * * [simplify]: Extracting #1: cost 4 inf + 0 135.267 * * [simplify]: Extracting #2: cost 9 inf + 0 135.267 * * [simplify]: Extracting #3: cost 43 inf + 0 135.268 * * [simplify]: Extracting #4: cost 137 inf + 1 135.270 * * [simplify]: Extracting #5: cost 177 inf + 220 135.273 * * [simplify]: Extracting #6: cost 136 inf + 7137 135.280 * * [simplify]: Extracting #7: cost 42 inf + 38173 135.291 * * [simplify]: Extracting #8: cost 0 inf + 67624 135.302 * * [simplify]: Extracting #9: cost 0 inf + 67056 135.319 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) 135.319 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 135.319 * * * * [progress]: [ 94 / 667 ] simplifiying candidate # 135.320 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 135.320 * * [simplify]: iters left: 6 (15 enodes) 135.328 * * [simplify]: iters left: 5 (60 enodes) 135.345 * * [simplify]: iters left: 4 (94 enodes) 135.360 * * [simplify]: iters left: 3 (137 enodes) 135.392 * * [simplify]: iters left: 2 (222 enodes) 135.455 * * [simplify]: iters left: 1 (404 enodes) 135.612 * * [simplify]: Extracting #0: cost 1 inf + 0 135.612 * * [simplify]: Extracting #1: cost 4 inf + 0 135.612 * * [simplify]: Extracting #2: cost 9 inf + 0 135.612 * * [simplify]: Extracting #3: cost 43 inf + 0 135.613 * * [simplify]: Extracting #4: cost 137 inf + 1 135.613 * * [simplify]: Extracting #5: cost 177 inf + 220 135.616 * * [simplify]: Extracting #6: cost 136 inf + 6937 135.627 * * [simplify]: Extracting #7: cost 42 inf + 37893 135.649 * * [simplify]: Extracting #8: cost 0 inf + 67304 135.672 * * [simplify]: Extracting #9: cost 0 inf + 66736 135.687 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 135.687 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 135.687 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 135.687 * * [simplify]: iters left: 6 (15 enodes) 135.691 * * [simplify]: iters left: 5 (60 enodes) 135.702 * * [simplify]: iters left: 4 (94 enodes) 135.721 * * [simplify]: iters left: 3 (137 enodes) 135.769 * * [simplify]: iters left: 2 (222 enodes) 135.828 * * [simplify]: iters left: 1 (404 enodes) 135.984 * * [simplify]: Extracting #0: cost 1 inf + 0 135.984 * * [simplify]: Extracting #1: cost 4 inf + 0 135.984 * * [simplify]: Extracting #2: cost 9 inf + 0 135.985 * * [simplify]: Extracting #3: cost 43 inf + 0 135.985 * * [simplify]: Extracting #4: cost 137 inf + 1 135.986 * * [simplify]: Extracting #5: cost 177 inf + 220 135.987 * * [simplify]: Extracting #6: cost 136 inf + 6937 135.993 * * [simplify]: Extracting #7: cost 42 inf + 37893 136.009 * * [simplify]: Extracting #8: cost 0 inf + 67304 136.031 * * [simplify]: Extracting #9: cost 0 inf + 66736 136.053 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 136.053 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 136.053 * * * * [progress]: [ 95 / 667 ] simplifiying candidate # 136.054 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) 136.054 * * [simplify]: iters left: 6 (14 enodes) 136.059 * * [simplify]: iters left: 5 (57 enodes) 136.069 * * [simplify]: iters left: 4 (91 enodes) 136.083 * * [simplify]: iters left: 3 (131 enodes) 136.122 * * [simplify]: iters left: 2 (212 enodes) 136.181 * * [simplify]: iters left: 1 (394 enodes) 136.320 * * [simplify]: Extracting #0: cost 1 inf + 0 136.320 * * [simplify]: Extracting #1: cost 5 inf + 0 136.321 * * [simplify]: Extracting #2: cost 35 inf + 1 136.321 * * [simplify]: Extracting #3: cost 122 inf + 2 136.322 * * [simplify]: Extracting #4: cost 159 inf + 219 136.324 * * [simplify]: Extracting #5: cost 157 inf + 560 136.327 * * [simplify]: Extracting #6: cost 100 inf + 5971 136.334 * * [simplify]: Extracting #7: cost 54 inf + 17737 136.344 * * [simplify]: Extracting #8: cost 9 inf + 55020 136.353 * * [simplify]: Extracting #9: cost 0 inf + 64730 136.363 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 136.363 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 136.363 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 136.363 * * [simplify]: iters left: 6 (14 enodes) 136.367 * * [simplify]: iters left: 5 (57 enodes) 136.377 * * [simplify]: iters left: 4 (91 enodes) 136.396 * * [simplify]: iters left: 3 (129 enodes) 136.429 * * [simplify]: iters left: 2 (209 enodes) 136.477 * * [simplify]: iters left: 1 (391 enodes) 136.632 * * [simplify]: Extracting #0: cost 1 inf + 0 136.632 * * [simplify]: Extracting #1: cost 4 inf + 0 136.632 * * [simplify]: Extracting #2: cost 9 inf + 0 136.632 * * [simplify]: Extracting #3: cost 45 inf + 0 136.633 * * [simplify]: Extracting #4: cost 130 inf + 124 136.633 * * [simplify]: Extracting #5: cost 160 inf + 631 136.635 * * [simplify]: Extracting #6: cost 102 inf + 9929 136.642 * * [simplify]: Extracting #7: cost 31 inf + 43075 136.662 * * [simplify]: Extracting #8: cost 0 inf + 70081 136.683 * * [simplify]: Extracting #9: cost 0 inf + 68537 136.700 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 136.700 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 136.700 * * * * [progress]: [ 96 / 667 ] simplifiying candidate # 136.700 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 136.700 * * [simplify]: iters left: 6 (15 enodes) 136.708 * * [simplify]: iters left: 5 (60 enodes) 136.718 * * [simplify]: iters left: 4 (94 enodes) 136.740 * * [simplify]: iters left: 3 (137 enodes) 136.764 * * [simplify]: iters left: 2 (222 enodes) 136.847 * * [simplify]: iters left: 1 (404 enodes) 137.084 * * [simplify]: Extracting #0: cost 1 inf + 0 137.084 * * [simplify]: Extracting #1: cost 4 inf + 0 137.084 * * [simplify]: Extracting #2: cost 9 inf + 0 137.084 * * [simplify]: Extracting #3: cost 43 inf + 0 137.085 * * [simplify]: Extracting #4: cost 137 inf + 1 137.086 * * [simplify]: Extracting #5: cost 177 inf + 220 137.089 * * [simplify]: Extracting #6: cost 136 inf + 6937 137.101 * * [simplify]: Extracting #7: cost 42 inf + 37893 137.122 * * [simplify]: Extracting #8: cost 0 inf + 67304 137.144 * * [simplify]: Extracting #9: cost 0 inf + 66736 137.162 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 137.162 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 137.163 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 137.163 * * [simplify]: iters left: 6 (15 enodes) 137.167 * * [simplify]: iters left: 5 (60 enodes) 137.178 * * [simplify]: iters left: 4 (94 enodes) 137.203 * * [simplify]: iters left: 3 (137 enodes) 137.228 * * [simplify]: iters left: 2 (222 enodes) 137.297 * * [simplify]: iters left: 1 (404 enodes) 137.490 * * [simplify]: Extracting #0: cost 1 inf + 0 137.490 * * [simplify]: Extracting #1: cost 4 inf + 0 137.490 * * [simplify]: Extracting #2: cost 9 inf + 0 137.490 * * [simplify]: Extracting #3: cost 43 inf + 0 137.490 * * [simplify]: Extracting #4: cost 137 inf + 1 137.491 * * [simplify]: Extracting #5: cost 177 inf + 220 137.493 * * [simplify]: Extracting #6: cost 136 inf + 6937 137.505 * * [simplify]: Extracting #7: cost 42 inf + 37893 137.526 * * [simplify]: Extracting #8: cost 0 inf + 67304 137.540 * * [simplify]: Extracting #9: cost 0 inf + 66736 137.551 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 137.551 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 137.552 * * * * [progress]: [ 97 / 667 ] simplifiying candidate # 137.552 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 137.552 * * [simplify]: iters left: 6 (13 enodes) 137.557 * * [simplify]: iters left: 5 (54 enodes) 137.573 * * [simplify]: iters left: 4 (88 enodes) 137.600 * * [simplify]: iters left: 3 (129 enodes) 137.643 * * [simplify]: iters left: 2 (210 enodes) 137.719 * * [simplify]: iters left: 1 (396 enodes) 137.941 * * [simplify]: Extracting #0: cost 1 inf + 0 137.941 * * [simplify]: Extracting #1: cost 5 inf + 0 137.941 * * [simplify]: Extracting #2: cost 37 inf + 1 137.942 * * [simplify]: Extracting #3: cost 132 inf + 2 137.943 * * [simplify]: Extracting #4: cost 179 inf + 177 137.945 * * [simplify]: Extracting #5: cost 164 inf + 1348 137.950 * * [simplify]: Extracting #6: cost 87 inf + 12163 137.964 * * [simplify]: Extracting #7: cost 26 inf + 48032 137.986 * * [simplify]: Extracting #8: cost 0 inf + 71186 137.997 * * [simplify]: Extracting #9: cost 0 inf + 70673 138.011 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 138.011 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 138.011 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 138.011 * * [simplify]: iters left: 6 (14 enodes) 138.017 * * [simplify]: iters left: 5 (57 enodes) 138.029 * * [simplify]: iters left: 4 (91 enodes) 138.053 * * [simplify]: iters left: 3 (129 enodes) 138.075 * * [simplify]: iters left: 2 (209 enodes) 138.136 * * [simplify]: iters left: 1 (391 enodes) 138.325 * * [simplify]: Extracting #0: cost 1 inf + 0 138.325 * * [simplify]: Extracting #1: cost 4 inf + 0 138.325 * * [simplify]: Extracting #2: cost 9 inf + 0 138.325 * * [simplify]: Extracting #3: cost 45 inf + 0 138.326 * * [simplify]: Extracting #4: cost 130 inf + 124 138.327 * * [simplify]: Extracting #5: cost 160 inf + 631 138.332 * * [simplify]: Extracting #6: cost 102 inf + 9929 138.349 * * [simplify]: Extracting #7: cost 31 inf + 43075 138.369 * * [simplify]: Extracting #8: cost 0 inf + 70081 138.390 * * [simplify]: Extracting #9: cost 0 inf + 68537 138.412 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 138.413 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 138.413 * * * * [progress]: [ 98 / 667 ] simplifiying candidate # 138.413 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 138.413 * * [simplify]: iters left: 6 (15 enodes) 138.421 * * [simplify]: iters left: 5 (60 enodes) 138.440 * * [simplify]: iters left: 4 (94 enodes) 138.469 * * [simplify]: iters left: 3 (137 enodes) 138.506 * * [simplify]: iters left: 2 (222 enodes) 138.563 * * [simplify]: iters left: 1 (404 enodes) 138.755 * * [simplify]: Extracting #0: cost 1 inf + 0 138.756 * * [simplify]: Extracting #1: cost 4 inf + 0 138.756 * * [simplify]: Extracting #2: cost 9 inf + 0 138.756 * * [simplify]: Extracting #3: cost 43 inf + 0 138.757 * * [simplify]: Extracting #4: cost 137 inf + 1 138.759 * * [simplify]: Extracting #5: cost 177 inf + 220 138.762 * * [simplify]: Extracting #6: cost 136 inf + 6937 138.773 * * [simplify]: Extracting #7: cost 42 inf + 37893 138.789 * * [simplify]: Extracting #8: cost 0 inf + 67304 138.804 * * [simplify]: Extracting #9: cost 0 inf + 66736 138.815 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 138.815 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 138.815 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 138.816 * * [simplify]: iters left: 6 (15 enodes) 138.820 * * [simplify]: iters left: 5 (60 enodes) 138.838 * * [simplify]: iters left: 4 (94 enodes) 138.867 * * [simplify]: iters left: 3 (137 enodes) 138.911 * * [simplify]: iters left: 2 (222 enodes) 138.979 * * [simplify]: iters left: 1 (404 enodes) 139.496 * * [simplify]: Extracting #0: cost 1 inf + 0 139.497 * * [simplify]: Extracting #1: cost 4 inf + 0 139.497 * * [simplify]: Extracting #2: cost 9 inf + 0 139.497 * * [simplify]: Extracting #3: cost 43 inf + 0 139.497 * * [simplify]: Extracting #4: cost 137 inf + 1 139.498 * * [simplify]: Extracting #5: cost 177 inf + 220 139.499 * * [simplify]: Extracting #6: cost 136 inf + 6937 139.505 * * [simplify]: Extracting #7: cost 42 inf + 37893 139.516 * * [simplify]: Extracting #8: cost 0 inf + 67304 139.532 * * [simplify]: Extracting #9: cost 0 inf + 66736 139.546 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 139.546 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 139.546 * * * * [progress]: [ 99 / 667 ] simplifiying candidate # 139.547 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 139.547 * * [simplify]: iters left: 6 (12 enodes) 139.550 * * [simplify]: iters left: 5 (49 enodes) 139.562 * * [simplify]: iters left: 4 (83 enodes) 139.583 * * [simplify]: iters left: 3 (128 enodes) 139.612 * * [simplify]: iters left: 2 (214 enodes) 139.678 * * [simplify]: iters left: 1 (396 enodes) 139.864 * * [simplify]: Extracting #0: cost 1 inf + 0 139.865 * * [simplify]: Extracting #1: cost 5 inf + 0 139.865 * * [simplify]: Extracting #2: cost 37 inf + 1 139.865 * * [simplify]: Extracting #3: cost 138 inf + 2 139.867 * * [simplify]: Extracting #4: cost 176 inf + 177 139.869 * * [simplify]: Extracting #5: cost 162 inf + 1348 139.882 * * [simplify]: Extracting #6: cost 74 inf + 21379 139.901 * * [simplify]: Extracting #7: cost 8 inf + 59921 139.915 * * [simplify]: Extracting #8: cost 0 inf + 67086 139.929 * * [simplify]: Extracting #9: cost 0 inf + 66965 139.941 * * [simplify]: Extracting #10: cost 0 inf + 66925 139.956 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 139.956 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 139.956 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 139.957 * * [simplify]: iters left: 6 (14 enodes) 139.965 * * [simplify]: iters left: 5 (57 enodes) 139.983 * * [simplify]: iters left: 4 (91 enodes) 140.013 * * [simplify]: iters left: 3 (129 enodes) 140.056 * * [simplify]: iters left: 2 (209 enodes) 140.127 * * [simplify]: iters left: 1 (391 enodes) 140.283 * * [simplify]: Extracting #0: cost 1 inf + 0 140.283 * * [simplify]: Extracting #1: cost 4 inf + 0 140.283 * * [simplify]: Extracting #2: cost 9 inf + 0 140.283 * * [simplify]: Extracting #3: cost 45 inf + 0 140.284 * * [simplify]: Extracting #4: cost 130 inf + 124 140.285 * * [simplify]: Extracting #5: cost 160 inf + 631 140.289 * * [simplify]: Extracting #6: cost 102 inf + 9929 140.302 * * [simplify]: Extracting #7: cost 31 inf + 43075 140.323 * * [simplify]: Extracting #8: cost 0 inf + 70081 140.348 * * [simplify]: Extracting #9: cost 0 inf + 68537 140.362 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 140.362 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 140.362 * * * * [progress]: [ 100 / 667 ] simplifiying candidate # 140.362 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 140.362 * * [simplify]: iters left: 6 (7 enodes) 140.365 * * [simplify]: iters left: 5 (25 enodes) 140.369 * * [simplify]: iters left: 4 (29 enodes) 140.373 * * [simplify]: Extracting #0: cost 1 inf + 0 140.374 * * [simplify]: Extracting #1: cost 6 inf + 0 140.374 * * [simplify]: Extracting #2: cost 9 inf + 1 140.374 * * [simplify]: Extracting #3: cost 11 inf + 1 140.374 * * [simplify]: Extracting #4: cost 13 inf + 1 140.374 * * [simplify]: Extracting #5: cost 12 inf + 2 140.374 * * [simplify]: Extracting #6: cost 8 inf + 246 140.374 * * [simplify]: Extracting #7: cost 5 inf + 810 140.374 * * [simplify]: Extracting #8: cost 1 inf + 1616 140.374 * * [simplify]: Extracting #9: cost 0 inf + 1858 140.375 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 140.375 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 140.375 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) 140.375 * * [simplify]: iters left: 6 (14 enodes) 140.380 * * [simplify]: iters left: 5 (57 enodes) 140.392 * * [simplify]: iters left: 4 (92 enodes) 140.420 * * [simplify]: iters left: 3 (137 enodes) 140.449 * * [simplify]: iters left: 2 (233 enodes) 140.507 * * [simplify]: iters left: 1 (473 enodes) 140.702 * * [simplify]: Extracting #0: cost 1 inf + 0 140.702 * * [simplify]: Extracting #1: cost 53 inf + 0 140.703 * * [simplify]: Extracting #2: cost 159 inf + 0 140.705 * * [simplify]: Extracting #3: cost 227 inf + 3 140.707 * * [simplify]: Extracting #4: cost 242 inf + 225 140.713 * * [simplify]: Extracting #5: cost 229 inf + 1751 140.720 * * [simplify]: Extracting #6: cost 144 inf + 19181 140.743 * * [simplify]: Extracting #7: cost 46 inf + 98815 140.782 * * [simplify]: Extracting #8: cost 2 inf + 142709 140.821 * * [simplify]: Extracting #9: cost 0 inf + 144914 140.862 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) 140.862 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 140.862 * * * * [progress]: [ 101 / 667 ] simplifiying candidate # 140.863 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 140.863 * * [simplify]: iters left: 6 (7 enodes) 140.866 * * [simplify]: iters left: 5 (24 enodes) 140.877 * * [simplify]: iters left: 4 (26 enodes) 140.884 * * [simplify]: Extracting #0: cost 1 inf + 0 140.884 * * [simplify]: Extracting #1: cost 4 inf + 0 140.884 * * [simplify]: Extracting #2: cost 6 inf + 1 140.884 * * [simplify]: Extracting #3: cost 9 inf + 1 140.884 * * [simplify]: Extracting #4: cost 11 inf + 1 140.884 * * [simplify]: Extracting #5: cost 8 inf + 84 140.885 * * [simplify]: Extracting #6: cost 2 inf + 1052 140.885 * * [simplify]: Extracting #7: cost 0 inf + 1374 140.885 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 140.885 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 140.886 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) 140.886 * * [simplify]: iters left: 6 (14 enodes) 140.892 * * [simplify]: iters left: 5 (57 enodes) 140.901 * * [simplify]: iters left: 4 (92 enodes) 140.916 * * [simplify]: iters left: 3 (137 enodes) 140.958 * * [simplify]: iters left: 2 (233 enodes) 141.050 * * [simplify]: iters left: 1 (473 enodes) 141.286 * * [simplify]: Extracting #0: cost 1 inf + 0 141.287 * * [simplify]: Extracting #1: cost 53 inf + 0 141.287 * * [simplify]: Extracting #2: cost 159 inf + 0 141.289 * * [simplify]: Extracting #3: cost 227 inf + 3 141.291 * * [simplify]: Extracting #4: cost 242 inf + 225 141.294 * * [simplify]: Extracting #5: cost 229 inf + 1831 141.300 * * [simplify]: Extracting #6: cost 144 inf + 19261 141.317 * * [simplify]: Extracting #7: cost 46 inf + 98895 141.342 * * [simplify]: Extracting #8: cost 2 inf + 142789 141.381 * * [simplify]: Extracting #9: cost 0 inf + 144994 141.419 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) 141.420 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 141.420 * * * * [progress]: [ 102 / 667 ] simplifiying candidate # 141.420 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) 141.420 * * [simplify]: iters left: 6 (7 enodes) 141.424 * * [simplify]: iters left: 5 (24 enodes) 141.431 * * [simplify]: iters left: 4 (26 enodes) 141.436 * * [simplify]: Extracting #0: cost 1 inf + 0 141.436 * * [simplify]: Extracting #1: cost 4 inf + 0 141.436 * * [simplify]: Extracting #2: cost 5 inf + 1 141.436 * * [simplify]: Extracting #3: cost 8 inf + 1 141.437 * * [simplify]: Extracting #4: cost 11 inf + 1 141.437 * * [simplify]: Extracting #5: cost 8 inf + 164 141.437 * * [simplify]: Extracting #6: cost 2 inf + 1092 141.437 * * [simplify]: Extracting #7: cost 0 inf + 1374 141.437 * [simplify]: Simplified to (/ 1 (sqrt (fabs (cbrt k)))) 141.437 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 141.437 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) 141.437 * * [simplify]: iters left: 6 (14 enodes) 141.441 * * [simplify]: iters left: 5 (57 enodes) 141.453 * * [simplify]: iters left: 4 (92 enodes) 141.469 * * [simplify]: iters left: 3 (137 enodes) 141.514 * * [simplify]: iters left: 2 (233 enodes) 141.586 * * [simplify]: iters left: 1 (473 enodes) 141.749 * * [simplify]: Extracting #0: cost 1 inf + 0 141.749 * * [simplify]: Extracting #1: cost 53 inf + 0 141.749 * * [simplify]: Extracting #2: cost 159 inf + 0 141.750 * * [simplify]: Extracting #3: cost 227 inf + 3 141.751 * * [simplify]: Extracting #4: cost 242 inf + 225 141.753 * * [simplify]: Extracting #5: cost 229 inf + 1871 141.756 * * [simplify]: Extracting #6: cost 144 inf + 19341 141.768 * * [simplify]: Extracting #7: cost 46 inf + 98975 141.791 * * [simplify]: Extracting #8: cost 2 inf + 142869 141.815 * * [simplify]: Extracting #9: cost 0 inf + 145074 141.855 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) 141.855 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 141.856 * * * * [progress]: [ 103 / 667 ] simplifiying candidate # 141.856 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 141.856 * * [simplify]: iters left: 5 (6 enodes) 141.859 * * [simplify]: iters left: 4 (20 enodes) 141.862 * * [simplify]: iters left: 3 (22 enodes) 141.865 * * [simplify]: Extracting #0: cost 1 inf + 0 141.866 * * [simplify]: Extracting #1: cost 4 inf + 0 141.866 * * [simplify]: Extracting #2: cost 5 inf + 1 141.866 * * [simplify]: Extracting #3: cost 7 inf + 1 141.866 * * [simplify]: Extracting #4: cost 9 inf + 1 141.866 * * [simplify]: Extracting #5: cost 8 inf + 2 141.866 * * [simplify]: Extracting #6: cost 1 inf + 650 141.866 * * [simplify]: Extracting #7: cost 0 inf + 812 141.866 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 141.866 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 141.866 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 141.866 * * [simplify]: iters left: 6 (14 enodes) 141.871 * * [simplify]: iters left: 5 (57 enodes) 141.881 * * [simplify]: iters left: 4 (92 enodes) 141.903 * * [simplify]: iters left: 3 (137 enodes) 141.947 * * [simplify]: iters left: 2 (233 enodes) 141.994 * * [simplify]: iters left: 1 (473 enodes) 142.252 * * [simplify]: Extracting #0: cost 1 inf + 0 142.252 * * [simplify]: Extracting #1: cost 53 inf + 0 142.253 * * [simplify]: Extracting #2: cost 159 inf + 0 142.255 * * [simplify]: Extracting #3: cost 227 inf + 3 142.257 * * [simplify]: Extracting #4: cost 242 inf + 225 142.259 * * [simplify]: Extracting #5: cost 229 inf + 1711 142.266 * * [simplify]: Extracting #6: cost 144 inf + 18781 142.290 * * [simplify]: Extracting #7: cost 46 inf + 96415 142.310 * * [simplify]: Extracting #8: cost 2 inf + 139189 142.333 * * [simplify]: Extracting #9: cost 0 inf + 141394 142.359 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 142.359 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 142.359 * * * * [progress]: [ 104 / 667 ] simplifiying candidate # 142.360 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 142.360 * * [simplify]: iters left: 4 (4 enodes) 142.364 * * [simplify]: iters left: 3 (14 enodes) 142.368 * * [simplify]: iters left: 2 (16 enodes) 142.372 * * [simplify]: Extracting #0: cost 1 inf + 0 142.372 * * [simplify]: Extracting #1: cost 0 inf + 1 142.372 * [simplify]: Simplified to 1 142.373 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 142.373 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 142.373 * * [simplify]: iters left: 6 (13 enodes) 142.380 * * [simplify]: iters left: 5 (54 enodes) 142.398 * * [simplify]: iters left: 4 (89 enodes) 142.425 * * [simplify]: iters left: 3 (138 enodes) 142.472 * * [simplify]: iters left: 2 (235 enodes) 142.563 * * [simplify]: iters left: 1 (482 enodes) 142.809 * * [simplify]: Extracting #0: cost 1 inf + 0 142.809 * * [simplify]: Extracting #1: cost 47 inf + 0 142.810 * * [simplify]: Extracting #2: cost 151 inf + 0 142.812 * * [simplify]: Extracting #3: cost 236 inf + 3 142.814 * * [simplify]: Extracting #4: cost 233 inf + 1878 142.821 * * [simplify]: Extracting #5: cost 131 inf + 29831 142.839 * * [simplify]: Extracting #6: cost 25 inf + 106782 142.866 * * [simplify]: Extracting #7: cost 0 inf + 125615 142.908 * * [simplify]: Extracting #8: cost 0 inf + 123839 142.937 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 142.937 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* 1 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 142.937 * * * * [progress]: [ 105 / 667 ] simplifiying candidate # 142.937 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 142.938 * * [simplify]: iters left: 5 (6 enodes) 142.939 * * [simplify]: iters left: 4 (20 enodes) 142.943 * * [simplify]: iters left: 3 (22 enodes) 142.950 * * [simplify]: Extracting #0: cost 1 inf + 0 142.950 * * [simplify]: Extracting #1: cost 4 inf + 0 142.950 * * [simplify]: Extracting #2: cost 5 inf + 1 142.950 * * [simplify]: Extracting #3: cost 7 inf + 1 142.950 * * [simplify]: Extracting #4: cost 9 inf + 1 142.950 * * [simplify]: Extracting #5: cost 8 inf + 2 142.951 * * [simplify]: Extracting #6: cost 1 inf + 650 142.951 * * [simplify]: Extracting #7: cost 0 inf + 812 142.951 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 142.951 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 142.952 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 142.952 * * [simplify]: iters left: 6 (14 enodes) 142.960 * * [simplify]: iters left: 5 (57 enodes) 142.978 * * [simplify]: iters left: 4 (92 enodes) 143.006 * * [simplify]: iters left: 3 (137 enodes) 143.051 * * [simplify]: iters left: 2 (233 enodes) 143.143 * * [simplify]: iters left: 1 (473 enodes) 143.375 * * [simplify]: Extracting #0: cost 1 inf + 0 143.375 * * [simplify]: Extracting #1: cost 53 inf + 0 143.376 * * [simplify]: Extracting #2: cost 159 inf + 0 143.376 * * [simplify]: Extracting #3: cost 227 inf + 3 143.381 * * [simplify]: Extracting #4: cost 242 inf + 225 143.382 * * [simplify]: Extracting #5: cost 229 inf + 1711 143.385 * * [simplify]: Extracting #6: cost 144 inf + 18781 143.401 * * [simplify]: Extracting #7: cost 46 inf + 96415 143.439 * * [simplify]: Extracting #8: cost 2 inf + 139189 143.460 * * [simplify]: Extracting #9: cost 0 inf + 141394 143.489 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 143.489 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 143.489 * * * * [progress]: [ 106 / 667 ] simplifiying candidate # 143.490 * [simplify]: Simplifying (/ 1 (sqrt 1)) 143.490 * * [simplify]: iters left: 3 (3 enodes) 143.498 * * [simplify]: iters left: 2 (11 enodes) 143.501 * * [simplify]: iters left: 1 (13 enodes) 143.504 * * [simplify]: Extracting #0: cost 1 inf + 0 143.504 * * [simplify]: Extracting #1: cost 0 inf + 1 143.504 * [simplify]: Simplified to 1 143.504 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 143.505 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 143.505 * * [simplify]: iters left: 6 (13 enodes) 143.512 * * [simplify]: iters left: 5 (54 enodes) 143.527 * * [simplify]: iters left: 4 (89 enodes) 143.542 * * [simplify]: iters left: 3 (138 enodes) 143.580 * * [simplify]: iters left: 2 (235 enodes) 143.649 * * [simplify]: iters left: 1 (482 enodes) 143.862 * * [simplify]: Extracting #0: cost 1 inf + 0 143.862 * * [simplify]: Extracting #1: cost 47 inf + 0 143.862 * * [simplify]: Extracting #2: cost 151 inf + 0 143.863 * * [simplify]: Extracting #3: cost 236 inf + 3 143.864 * * [simplify]: Extracting #4: cost 233 inf + 1878 143.875 * * [simplify]: Extracting #5: cost 131 inf + 29831 143.903 * * [simplify]: Extracting #6: cost 25 inf + 106782 143.938 * * [simplify]: Extracting #7: cost 0 inf + 125615 143.990 * * [simplify]: Extracting #8: cost 0 inf + 123839 144.029 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 144.029 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* 1 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 144.029 * * * * [progress]: [ 107 / 667 ] simplifiying candidate # 144.030 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 144.030 * * [simplify]: iters left: 5 (6 enodes) 144.031 * * [simplify]: iters left: 4 (20 enodes) 144.036 * * [simplify]: iters left: 3 (22 enodes) 144.039 * * [simplify]: Extracting #0: cost 1 inf + 0 144.039 * * [simplify]: Extracting #1: cost 4 inf + 0 144.040 * * [simplify]: Extracting #2: cost 5 inf + 1 144.040 * * [simplify]: Extracting #3: cost 7 inf + 1 144.040 * * [simplify]: Extracting #4: cost 9 inf + 1 144.040 * * [simplify]: Extracting #5: cost 8 inf + 2 144.040 * * [simplify]: Extracting #6: cost 1 inf + 650 144.040 * * [simplify]: Extracting #7: cost 0 inf + 812 144.040 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 144.040 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 144.040 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 144.040 * * [simplify]: iters left: 6 (14 enodes) 144.046 * * [simplify]: iters left: 5 (57 enodes) 144.064 * * [simplify]: iters left: 4 (92 enodes) 144.093 * * [simplify]: iters left: 3 (137 enodes) 144.138 * * [simplify]: iters left: 2 (233 enodes) 144.196 * * [simplify]: iters left: 1 (473 enodes) 144.409 * * [simplify]: Extracting #0: cost 1 inf + 0 144.409 * * [simplify]: Extracting #1: cost 53 inf + 0 144.410 * * [simplify]: Extracting #2: cost 159 inf + 0 144.411 * * [simplify]: Extracting #3: cost 227 inf + 3 144.412 * * [simplify]: Extracting #4: cost 242 inf + 225 144.413 * * [simplify]: Extracting #5: cost 229 inf + 1711 144.417 * * [simplify]: Extracting #6: cost 144 inf + 18781 144.429 * * [simplify]: Extracting #7: cost 46 inf + 96415 144.452 * * [simplify]: Extracting #8: cost 2 inf + 139189 144.486 * * [simplify]: Extracting #9: cost 0 inf + 141394 144.507 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 144.507 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 144.507 * * * * [progress]: [ 108 / 667 ] simplifiying candidate # 144.507 * [simplify]: Simplifying (/ 1 1) 144.507 * * [simplify]: iters left: 2 (2 enodes) 144.509 * * [simplify]: iters left: 1 (6 enodes) 144.510 * * [simplify]: Extracting #0: cost 1 inf + 0 144.510 * * [simplify]: Extracting #1: cost 0 inf + 1 144.510 * [simplify]: Simplified to 1 144.510 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 144.510 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 144.510 * * [simplify]: iters left: 6 (13 enodes) 144.514 * * [simplify]: iters left: 5 (54 enodes) 144.525 * * [simplify]: iters left: 4 (89 enodes) 144.553 * * [simplify]: iters left: 3 (138 enodes) 144.577 * * [simplify]: iters left: 2 (235 enodes) 144.662 * * [simplify]: iters left: 1 (482 enodes) 144.879 * * [simplify]: Extracting #0: cost 1 inf + 0 144.880 * * [simplify]: Extracting #1: cost 47 inf + 0 144.880 * * [simplify]: Extracting #2: cost 151 inf + 0 144.881 * * [simplify]: Extracting #3: cost 236 inf + 3 144.882 * * [simplify]: Extracting #4: cost 233 inf + 1878 144.886 * * [simplify]: Extracting #5: cost 131 inf + 29831 144.907 * * [simplify]: Extracting #6: cost 25 inf + 106782 144.965 * * [simplify]: Extracting #7: cost 0 inf + 125615 144.996 * * [simplify]: Extracting #8: cost 0 inf + 123839 145.045 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 145.045 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* 1 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 145.045 * * * * [progress]: [ 109 / 667 ] simplifiying candidate # 145.046 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 145.046 * * [simplify]: iters left: 6 (16 enodes) 145.055 * * [simplify]: iters left: 5 (68 enodes) 145.076 * * [simplify]: iters left: 4 (112 enodes) 145.116 * * [simplify]: iters left: 3 (191 enodes) 145.159 * * [simplify]: iters left: 2 (377 enodes) 145.294 * * [simplify]: Extracting #0: cost 1 inf + 0 145.295 * * [simplify]: Extracting #1: cost 54 inf + 0 145.295 * * [simplify]: Extracting #2: cost 149 inf + 0 145.297 * * [simplify]: Extracting #3: cost 230 inf + 2 145.298 * * [simplify]: Extracting #4: cost 246 inf + 181 145.299 * * [simplify]: Extracting #5: cost 222 inf + 3042 145.304 * * [simplify]: Extracting #6: cost 142 inf + 24166 145.330 * * [simplify]: Extracting #7: cost 23 inf + 113772 145.349 * * [simplify]: Extracting #8: cost 0 inf + 133605 145.382 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 145.382 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 145.382 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) 145.382 * * [simplify]: iters left: 6 (15 enodes) 145.391 * * [simplify]: iters left: 5 (63 enodes) 145.412 * * [simplify]: iters left: 4 (101 enodes) 145.448 * * [simplify]: iters left: 3 (162 enodes) 145.482 * * [simplify]: iters left: 2 (299 enodes) 145.564 * * [simplify]: Extracting #0: cost 1 inf + 0 145.564 * * [simplify]: Extracting #1: cost 30 inf + 0 145.564 * * [simplify]: Extracting #2: cost 72 inf + 0 145.564 * * [simplify]: Extracting #3: cost 140 inf + 2 145.565 * * [simplify]: Extracting #4: cost 155 inf + 223 145.566 * * [simplify]: Extracting #5: cost 151 inf + 1136 145.570 * * [simplify]: Extracting #6: cost 81 inf + 13642 145.584 * * [simplify]: Extracting #7: cost 12 inf + 51491 145.599 * * [simplify]: Extracting #8: cost 0 inf + 60480 145.609 * * [simplify]: Extracting #9: cost 0 inf + 59785 145.619 * * [simplify]: Extracting #10: cost 0 inf + 59543 145.629 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt (sqrt k)))) 145.629 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 145.629 * * * * [progress]: [ 110 / 667 ] simplifiying candidate # 145.630 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 145.630 * * [simplify]: iters left: 6 (16 enodes) 145.634 * * [simplify]: iters left: 5 (67 enodes) 145.650 * * [simplify]: iters left: 4 (105 enodes) 145.671 * * [simplify]: iters left: 3 (169 enodes) 145.703 * * [simplify]: iters left: 2 (309 enodes) 145.778 * * [simplify]: Extracting #0: cost 1 inf + 0 145.779 * * [simplify]: Extracting #1: cost 30 inf + 0 145.779 * * [simplify]: Extracting #2: cost 74 inf + 0 145.780 * * [simplify]: Extracting #3: cost 143 inf + 2 145.781 * * [simplify]: Extracting #4: cost 158 inf + 181 145.782 * * [simplify]: Extracting #5: cost 155 inf + 1012 145.787 * * [simplify]: Extracting #6: cost 73 inf + 19652 145.802 * * [simplify]: Extracting #7: cost 5 inf + 58363 145.810 * * [simplify]: Extracting #8: cost 0 inf + 60228 145.819 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) 145.819 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 145.819 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) 145.819 * * [simplify]: iters left: 6 (15 enodes) 145.827 * * [simplify]: iters left: 5 (63 enodes) 145.838 * * [simplify]: iters left: 4 (101 enodes) 145.857 * * [simplify]: iters left: 3 (162 enodes) 145.896 * * [simplify]: iters left: 2 (299 enodes) 146.012 * * [simplify]: Extracting #0: cost 1 inf + 0 146.012 * * [simplify]: Extracting #1: cost 30 inf + 0 146.012 * * [simplify]: Extracting #2: cost 72 inf + 0 146.013 * * [simplify]: Extracting #3: cost 140 inf + 2 146.014 * * [simplify]: Extracting #4: cost 155 inf + 223 146.016 * * [simplify]: Extracting #5: cost 151 inf + 1136 146.020 * * [simplify]: Extracting #6: cost 81 inf + 13722 146.036 * * [simplify]: Extracting #7: cost 12 inf + 51571 146.057 * * [simplify]: Extracting #8: cost 0 inf + 60560 146.080 * * [simplify]: Extracting #9: cost 0 inf + 59865 146.091 * * [simplify]: Extracting #10: cost 0 inf + 59623 146.102 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (cbrt (sqrt k)))) 146.102 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 146.102 * * * * [progress]: [ 111 / 667 ] simplifiying candidate # 146.102 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 146.103 * * [simplify]: iters left: 6 (16 enodes) 146.107 * * [simplify]: iters left: 5 (67 enodes) 146.121 * * [simplify]: iters left: 4 (105 enodes) 146.155 * * [simplify]: iters left: 3 (169 enodes) 146.219 * * [simplify]: iters left: 2 (309 enodes) 146.340 * * [simplify]: Extracting #0: cost 1 inf + 0 146.340 * * [simplify]: Extracting #1: cost 30 inf + 0 146.341 * * [simplify]: Extracting #2: cost 73 inf + 0 146.345 * * [simplify]: Extracting #3: cost 142 inf + 2 146.346 * * [simplify]: Extracting #4: cost 158 inf + 181 146.347 * * [simplify]: Extracting #5: cost 155 inf + 1012 146.352 * * [simplify]: Extracting #6: cost 73 inf + 19652 146.369 * * [simplify]: Extracting #7: cost 5 inf + 58363 146.378 * * [simplify]: Extracting #8: cost 0 inf + 60228 146.386 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (fabs (cbrt k)))) 146.386 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (fabs (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 146.386 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) 146.386 * * [simplify]: iters left: 6 (15 enodes) 146.391 * * [simplify]: iters left: 5 (63 enodes) 146.402 * * [simplify]: iters left: 4 (101 enodes) 146.433 * * [simplify]: iters left: 3 (162 enodes) 146.494 * * [simplify]: iters left: 2 (299 enodes) 146.567 * * [simplify]: Extracting #0: cost 1 inf + 0 146.567 * * [simplify]: Extracting #1: cost 30 inf + 0 146.567 * * [simplify]: Extracting #2: cost 72 inf + 0 146.568 * * [simplify]: Extracting #3: cost 140 inf + 2 146.568 * * [simplify]: Extracting #4: cost 155 inf + 223 146.569 * * [simplify]: Extracting #5: cost 151 inf + 1136 146.571 * * [simplify]: Extracting #6: cost 81 inf + 13802 146.578 * * [simplify]: Extracting #7: cost 12 inf + 51651 146.589 * * [simplify]: Extracting #8: cost 0 inf + 60640 146.599 * * [simplify]: Extracting #9: cost 0 inf + 59945 146.609 * * [simplify]: Extracting #10: cost 0 inf + 59703 146.618 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (cbrt k)))) 146.618 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 146.618 * * * * [progress]: [ 112 / 667 ] simplifiying candidate # 146.619 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 146.619 * * [simplify]: iters left: 6 (15 enodes) 146.624 * * [simplify]: iters left: 5 (63 enodes) 146.635 * * [simplify]: iters left: 4 (101 enodes) 146.655 * * [simplify]: iters left: 3 (162 enodes) 146.696 * * [simplify]: iters left: 2 (299 enodes) 146.757 * * [simplify]: Extracting #0: cost 1 inf + 0 146.757 * * [simplify]: Extracting #1: cost 30 inf + 0 146.757 * * [simplify]: Extracting #2: cost 72 inf + 0 146.757 * * [simplify]: Extracting #3: cost 140 inf + 2 146.758 * * [simplify]: Extracting #4: cost 155 inf + 223 146.759 * * [simplify]: Extracting #5: cost 151 inf + 1136 146.761 * * [simplify]: Extracting #6: cost 81 inf + 13402 146.768 * * [simplify]: Extracting #7: cost 12 inf + 50411 146.779 * * [simplify]: Extracting #8: cost 0 inf + 59000 146.789 * * [simplify]: Extracting #9: cost 0 inf + 58305 146.800 * * [simplify]: Extracting #10: cost 0 inf + 58063 146.820 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) 146.820 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 146.820 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 146.820 * * [simplify]: iters left: 6 (15 enodes) 146.829 * * [simplify]: iters left: 5 (63 enodes) 146.854 * * [simplify]: iters left: 4 (101 enodes) 146.887 * * [simplify]: iters left: 3 (162 enodes) 146.926 * * [simplify]: iters left: 2 (299 enodes) 147.005 * * [simplify]: Extracting #0: cost 1 inf + 0 147.005 * * [simplify]: Extracting #1: cost 30 inf + 0 147.006 * * [simplify]: Extracting #2: cost 72 inf + 0 147.006 * * [simplify]: Extracting #3: cost 140 inf + 2 147.007 * * [simplify]: Extracting #4: cost 155 inf + 223 147.009 * * [simplify]: Extracting #5: cost 151 inf + 1136 147.013 * * [simplify]: Extracting #6: cost 81 inf + 13402 147.023 * * [simplify]: Extracting #7: cost 12 inf + 50411 147.033 * * [simplify]: Extracting #8: cost 0 inf + 59000 147.043 * * [simplify]: Extracting #9: cost 0 inf + 58305 147.065 * * [simplify]: Extracting #10: cost 0 inf + 58063 147.079 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) 147.079 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 147.079 * * * * [progress]: [ 113 / 667 ] simplifiying candidate # 147.080 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) 147.080 * * [simplify]: iters left: 6 (14 enodes) 147.086 * * [simplify]: iters left: 5 (60 enodes) 147.096 * * [simplify]: iters left: 4 (96 enodes) 147.118 * * [simplify]: iters left: 3 (156 enodes) 147.176 * * [simplify]: iters left: 2 (290 enodes) 147.239 * * [simplify]: Extracting #0: cost 1 inf + 0 147.240 * * [simplify]: Extracting #1: cost 25 inf + 0 147.240 * * [simplify]: Extracting #2: cost 88 inf + 2 147.240 * * [simplify]: Extracting #3: cost 132 inf + 51 147.241 * * [simplify]: Extracting #4: cost 129 inf + 600 147.243 * * [simplify]: Extracting #5: cost 65 inf + 11302 147.248 * * [simplify]: Extracting #6: cost 5 inf + 38141 147.259 * * [simplify]: Extracting #7: cost 0 inf + 40671 147.266 * * [simplify]: Extracting #8: cost 0 inf + 40418 147.274 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 147.274 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 147.274 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 147.274 * * [simplify]: iters left: 6 (14 enodes) 147.279 * * [simplify]: iters left: 5 (60 enodes) 147.289 * * [simplify]: iters left: 4 (98 enodes) 147.307 * * [simplify]: iters left: 3 (160 enodes) 147.356 * * [simplify]: iters left: 2 (297 enodes) 147.451 * * [simplify]: Extracting #0: cost 1 inf + 0 147.451 * * [simplify]: Extracting #1: cost 30 inf + 0 147.451 * * [simplify]: Extracting #2: cost 74 inf + 0 147.452 * * [simplify]: Extracting #3: cost 138 inf + 2 147.453 * * [simplify]: Extracting #4: cost 145 inf + 473 147.456 * * [simplify]: Extracting #5: cost 104 inf + 5234 147.465 * * [simplify]: Extracting #6: cost 34 inf + 34336 147.483 * * [simplify]: Extracting #7: cost 2 inf + 57757 147.499 * * [simplify]: Extracting #8: cost 0 inf + 58887 147.515 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 147.515 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 147.515 * * * * [progress]: [ 114 / 667 ] simplifiying candidate # 147.515 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 147.515 * * [simplify]: iters left: 6 (15 enodes) 147.522 * * [simplify]: iters left: 5 (63 enodes) 147.533 * * [simplify]: iters left: 4 (101 enodes) 147.550 * * [simplify]: iters left: 3 (162 enodes) 147.600 * * [simplify]: iters left: 2 (299 enodes) 147.660 * * [simplify]: Extracting #0: cost 1 inf + 0 147.660 * * [simplify]: Extracting #1: cost 30 inf + 0 147.660 * * [simplify]: Extracting #2: cost 72 inf + 0 147.661 * * [simplify]: Extracting #3: cost 140 inf + 2 147.661 * * [simplify]: Extracting #4: cost 155 inf + 223 147.662 * * [simplify]: Extracting #5: cost 151 inf + 1136 147.664 * * [simplify]: Extracting #6: cost 81 inf + 13402 147.675 * * [simplify]: Extracting #7: cost 12 inf + 50411 147.685 * * [simplify]: Extracting #8: cost 0 inf + 59000 147.696 * * [simplify]: Extracting #9: cost 0 inf + 58305 147.712 * * [simplify]: Extracting #10: cost 0 inf + 58063 147.731 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) 147.731 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 147.731 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 147.731 * * [simplify]: iters left: 6 (15 enodes) 147.738 * * [simplify]: iters left: 5 (63 enodes) 147.749 * * [simplify]: iters left: 4 (101 enodes) 147.767 * * [simplify]: iters left: 3 (162 enodes) 147.824 * * [simplify]: iters left: 2 (299 enodes) 147.909 * * [simplify]: Extracting #0: cost 1 inf + 0 147.909 * * [simplify]: Extracting #1: cost 30 inf + 0 147.909 * * [simplify]: Extracting #2: cost 72 inf + 0 147.910 * * [simplify]: Extracting #3: cost 140 inf + 2 147.911 * * [simplify]: Extracting #4: cost 155 inf + 223 147.913 * * [simplify]: Extracting #5: cost 151 inf + 1136 147.917 * * [simplify]: Extracting #6: cost 81 inf + 13402 147.931 * * [simplify]: Extracting #7: cost 12 inf + 50411 147.942 * * [simplify]: Extracting #8: cost 0 inf + 59000 147.952 * * [simplify]: Extracting #9: cost 0 inf + 58305 147.962 * * [simplify]: Extracting #10: cost 0 inf + 58063 147.972 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) 147.972 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 147.972 * * * * [progress]: [ 115 / 667 ] simplifiying candidate # 147.972 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 147.973 * * [simplify]: iters left: 6 (13 enodes) 147.977 * * [simplify]: iters left: 5 (57 enodes) 147.994 * * [simplify]: iters left: 4 (93 enodes) 148.027 * * [simplify]: iters left: 3 (153 enodes) 148.069 * * [simplify]: iters left: 2 (288 enodes) 148.159 * * [simplify]: Extracting #0: cost 1 inf + 0 148.159 * * [simplify]: Extracting #1: cost 26 inf + 0 148.159 * * [simplify]: Extracting #2: cost 88 inf + 2 148.160 * * [simplify]: Extracting #3: cost 135 inf + 9 148.161 * * [simplify]: Extracting #4: cost 128 inf + 890 148.167 * * [simplify]: Extracting #5: cost 41 inf + 20076 148.173 * * [simplify]: Extracting #6: cost 2 inf + 39417 148.181 * * [simplify]: Extracting #7: cost 0 inf + 40189 148.188 * * [simplify]: Extracting #8: cost 0 inf + 40150 148.195 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 148.195 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 148.196 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 148.196 * * [simplify]: iters left: 6 (14 enodes) 148.201 * * [simplify]: iters left: 5 (60 enodes) 148.216 * * [simplify]: iters left: 4 (98 enodes) 148.235 * * [simplify]: iters left: 3 (160 enodes) 148.275 * * [simplify]: iters left: 2 (297 enodes) 148.363 * * [simplify]: Extracting #0: cost 1 inf + 0 148.363 * * [simplify]: Extracting #1: cost 30 inf + 0 148.363 * * [simplify]: Extracting #2: cost 74 inf + 0 148.364 * * [simplify]: Extracting #3: cost 138 inf + 2 148.364 * * [simplify]: Extracting #4: cost 145 inf + 473 148.366 * * [simplify]: Extracting #5: cost 104 inf + 5234 148.370 * * [simplify]: Extracting #6: cost 34 inf + 34336 148.378 * * [simplify]: Extracting #7: cost 2 inf + 57757 148.386 * * [simplify]: Extracting #8: cost 0 inf + 58887 148.397 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 148.397 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 148.397 * * * * [progress]: [ 116 / 667 ] simplifiying candidate # 148.398 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 148.398 * * [simplify]: iters left: 6 (15 enodes) 148.406 * * [simplify]: iters left: 5 (63 enodes) 148.430 * * [simplify]: iters left: 4 (101 enodes) 148.462 * * [simplify]: iters left: 3 (162 enodes) 148.495 * * [simplify]: iters left: 2 (299 enodes) 148.608 * * [simplify]: Extracting #0: cost 1 inf + 0 148.609 * * [simplify]: Extracting #1: cost 30 inf + 0 148.609 * * [simplify]: Extracting #2: cost 72 inf + 0 148.610 * * [simplify]: Extracting #3: cost 140 inf + 2 148.611 * * [simplify]: Extracting #4: cost 155 inf + 223 148.612 * * [simplify]: Extracting #5: cost 151 inf + 1136 148.617 * * [simplify]: Extracting #6: cost 81 inf + 13402 148.632 * * [simplify]: Extracting #7: cost 12 inf + 50411 148.652 * * [simplify]: Extracting #8: cost 0 inf + 59000 148.662 * * [simplify]: Extracting #9: cost 0 inf + 58305 148.672 * * [simplify]: Extracting #10: cost 0 inf + 58063 148.687 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) 148.687 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 148.687 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 148.687 * * [simplify]: iters left: 6 (15 enodes) 148.696 * * [simplify]: iters left: 5 (63 enodes) 148.717 * * [simplify]: iters left: 4 (101 enodes) 148.741 * * [simplify]: iters left: 3 (162 enodes) 148.779 * * [simplify]: iters left: 2 (299 enodes) 148.880 * * [simplify]: Extracting #0: cost 1 inf + 0 148.880 * * [simplify]: Extracting #1: cost 30 inf + 0 148.880 * * [simplify]: Extracting #2: cost 72 inf + 0 148.880 * * [simplify]: Extracting #3: cost 140 inf + 2 148.881 * * [simplify]: Extracting #4: cost 155 inf + 223 148.882 * * [simplify]: Extracting #5: cost 151 inf + 1136 148.884 * * [simplify]: Extracting #6: cost 81 inf + 13402 148.892 * * [simplify]: Extracting #7: cost 12 inf + 50411 148.904 * * [simplify]: Extracting #8: cost 0 inf + 59000 148.914 * * [simplify]: Extracting #9: cost 0 inf + 58305 148.934 * * [simplify]: Extracting #10: cost 0 inf + 58063 148.948 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) 148.948 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 148.948 * * * * [progress]: [ 117 / 667 ] simplifiying candidate # 148.949 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 148.949 * * [simplify]: iters left: 6 (12 enodes) 148.953 * * [simplify]: iters left: 5 (52 enodes) 148.962 * * [simplify]: iters left: 4 (90 enodes) 148.978 * * [simplify]: iters left: 3 (158 enodes) 149.020 * * [simplify]: iters left: 2 (296 enodes) 149.145 * * [simplify]: Extracting #0: cost 1 inf + 0 149.145 * * [simplify]: Extracting #1: cost 29 inf + 0 149.146 * * [simplify]: Extracting #2: cost 109 inf + 2 149.147 * * [simplify]: Extracting #3: cost 157 inf + 219 149.148 * * [simplify]: Extracting #4: cost 154 inf + 764 149.152 * * [simplify]: Extracting #5: cost 81 inf + 14337 149.165 * * [simplify]: Extracting #6: cost 6 inf + 56302 149.183 * * [simplify]: Extracting #7: cost 0 inf + 60534 149.200 * * [simplify]: Extracting #8: cost 0 inf + 60272 149.210 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 149.210 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 149.210 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 149.210 * * [simplify]: iters left: 6 (14 enodes) 149.215 * * [simplify]: iters left: 5 (60 enodes) 149.226 * * [simplify]: iters left: 4 (98 enodes) 149.243 * * [simplify]: iters left: 3 (160 enodes) 149.285 * * [simplify]: iters left: 2 (297 enodes) 149.396 * * [simplify]: Extracting #0: cost 1 inf + 0 149.396 * * [simplify]: Extracting #1: cost 30 inf + 0 149.397 * * [simplify]: Extracting #2: cost 74 inf + 0 149.397 * * [simplify]: Extracting #3: cost 138 inf + 2 149.399 * * [simplify]: Extracting #4: cost 145 inf + 473 149.402 * * [simplify]: Extracting #5: cost 104 inf + 5234 149.411 * * [simplify]: Extracting #6: cost 34 inf + 34336 149.425 * * [simplify]: Extracting #7: cost 2 inf + 57757 149.441 * * [simplify]: Extracting #8: cost 0 inf + 58887 149.458 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 149.458 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 149.458 * * * * [progress]: [ 118 / 667 ] simplifiying candidate # 149.458 * * * * [progress]: [ 119 / 667 ] simplifiying candidate # 149.458 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 149.458 * * [simplify]: iters left: 4 (5 enodes) 149.462 * * [simplify]: iters left: 3 (17 enodes) 149.467 * * [simplify]: iters left: 2 (19 enodes) 149.470 * * [simplify]: Extracting #0: cost 1 inf + 0 149.470 * * [simplify]: Extracting #1: cost 4 inf + 0 149.470 * * [simplify]: Extracting #2: cost 5 inf + 1 149.470 * * [simplify]: Extracting #3: cost 7 inf + 1 149.470 * * [simplify]: Extracting #4: cost 0 inf + 490 149.470 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 149.470 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (sqrt (sqrt k)))) 149.470 * * * * [progress]: [ 120 / 667 ] simplifiying candidate # 149.471 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 149.471 * * [simplify]: iters left: 6 (13 enodes) 149.475 * * [simplify]: iters left: 5 (54 enodes) 149.485 * * [simplify]: iters left: 4 (85 enodes) 149.502 * * [simplify]: iters left: 3 (129 enodes) 149.528 * * [simplify]: iters left: 2 (231 enodes) 149.583 * * [simplify]: iters left: 1 (414 enodes) 149.758 * * [simplify]: Extracting #0: cost 1 inf + 0 149.758 * * [simplify]: Extracting #1: cost 6 inf + 0 149.758 * * [simplify]: Extracting #2: cost 41 inf + 0 149.758 * * [simplify]: Extracting #3: cost 135 inf + 1 149.759 * * [simplify]: Extracting #4: cost 175 inf + 588 149.760 * * [simplify]: Extracting #5: cost 140 inf + 4184 149.764 * * [simplify]: Extracting #6: cost 75 inf + 18889 149.773 * * [simplify]: Extracting #7: cost 8 inf + 68398 149.791 * * [simplify]: Extracting #8: cost 0 inf + 73201 149.816 * * [simplify]: Extracting #9: cost 0 inf + 72608 149.840 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 149.840 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))) 149.841 * * * * [progress]: [ 121 / 667 ] simplifiying candidate # 149.841 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 149.841 * * [simplify]: iters left: 6 (15 enodes) 149.849 * * [simplify]: iters left: 5 (62 enodes) 149.870 * * [simplify]: iters left: 4 (103 enodes) 149.901 * * [simplify]: iters left: 3 (163 enodes) 149.960 * * [simplify]: iters left: 2 (305 enodes) 150.085 * * [simplify]: Extracting #0: cost 1 inf + 0 150.085 * * [simplify]: Extracting #1: cost 54 inf + 0 150.086 * * [simplify]: Extracting #2: cost 144 inf + 0 150.086 * * [simplify]: Extracting #3: cost 215 inf + 2 150.087 * * [simplify]: Extracting #4: cost 223 inf + 221 150.089 * * [simplify]: Extracting #5: cost 202 inf + 4261 150.096 * * [simplify]: Extracting #6: cost 81 inf + 55459 150.127 * * [simplify]: Extracting #7: cost 3 inf + 110612 150.151 * * [simplify]: Extracting #8: cost 0 inf + 110322 150.173 * * [simplify]: Extracting #9: cost 0 inf + 110162 150.213 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 150.213 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))) 150.214 * * * * [progress]: [ 122 / 667 ] simplifiying candidate # 150.214 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 150.214 * * [simplify]: iters left: 6 (15 enodes) 150.222 * * [simplify]: iters left: 5 (61 enodes) 150.241 * * [simplify]: iters left: 4 (96 enodes) 150.271 * * [simplify]: iters left: 3 (145 enodes) 150.311 * * [simplify]: iters left: 2 (246 enodes) 150.385 * * [simplify]: iters left: 1 (490 enodes) 150.607 * * [simplify]: Extracting #0: cost 1 inf + 0 150.607 * * [simplify]: Extracting #1: cost 47 inf + 0 150.608 * * [simplify]: Extracting #2: cost 147 inf + 0 150.609 * * [simplify]: Extracting #3: cost 227 inf + 3 150.611 * * [simplify]: Extracting #4: cost 244 inf + 183 150.614 * * [simplify]: Extracting #5: cost 213 inf + 6434 150.623 * * [simplify]: Extracting #6: cost 90 inf + 66421 150.643 * * [simplify]: Extracting #7: cost 1 inf + 137840 150.668 * * [simplify]: Extracting #8: cost 0 inf + 136986 150.690 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) 150.690 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))) 150.690 * * * * [progress]: [ 123 / 667 ] simplifiying candidate # 150.690 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 150.690 * * [simplify]: iters left: 6 (15 enodes) 150.701 * * [simplify]: iters left: 5 (61 enodes) 150.718 * * [simplify]: iters left: 4 (96 enodes) 150.733 * * [simplify]: iters left: 3 (145 enodes) 150.766 * * [simplify]: iters left: 2 (246 enodes) 150.843 * * [simplify]: iters left: 1 (490 enodes) 151.071 * * [simplify]: Extracting #0: cost 1 inf + 0 151.072 * * [simplify]: Extracting #1: cost 47 inf + 0 151.073 * * [simplify]: Extracting #2: cost 146 inf + 0 151.074 * * [simplify]: Extracting #3: cost 226 inf + 3 151.076 * * [simplify]: Extracting #4: cost 244 inf + 183 151.079 * * [simplify]: Extracting #5: cost 213 inf + 6434 151.102 * * [simplify]: Extracting #6: cost 90 inf + 66421 151.140 * * [simplify]: Extracting #7: cost 1 inf + 137840 151.180 * * [simplify]: Extracting #8: cost 0 inf + 136986 151.220 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) 151.220 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))) 151.220 * * * * [progress]: [ 124 / 667 ] simplifiying candidate # 151.221 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 151.221 * * [simplify]: iters left: 6 (14 enodes) 151.229 * * [simplify]: iters left: 5 (57 enodes) 151.247 * * [simplify]: iters left: 4 (92 enodes) 151.279 * * [simplify]: iters left: 3 (137 enodes) 151.309 * * [simplify]: iters left: 2 (233 enodes) 151.366 * * [simplify]: iters left: 1 (473 enodes) 151.612 * * [simplify]: Extracting #0: cost 1 inf + 0 151.613 * * [simplify]: Extracting #1: cost 53 inf + 0 151.613 * * [simplify]: Extracting #2: cost 159 inf + 0 151.614 * * [simplify]: Extracting #3: cost 227 inf + 3 151.615 * * [simplify]: Extracting #4: cost 242 inf + 225 151.616 * * [simplify]: Extracting #5: cost 229 inf + 1711 151.620 * * [simplify]: Extracting #6: cost 144 inf + 18781 151.637 * * [simplify]: Extracting #7: cost 46 inf + 96415 151.676 * * [simplify]: Extracting #8: cost 2 inf + 139189 151.700 * * [simplify]: Extracting #9: cost 0 inf + 141394 151.728 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 151.728 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))) 151.728 * * * * [progress]: [ 125 / 667 ] simplifiying candidate # 151.728 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt 1))) 151.729 * * [simplify]: iters left: 6 (13 enodes) 151.735 * * [simplify]: iters left: 5 (54 enodes) 151.745 * * [simplify]: iters left: 4 (87 enodes) 151.762 * * [simplify]: iters left: 3 (134 enodes) 151.807 * * [simplify]: iters left: 2 (227 enodes) 151.891 * * [simplify]: iters left: 1 (459 enodes) 152.123 * * [simplify]: Extracting #0: cost 1 inf + 0 152.123 * * [simplify]: Extracting #1: cost 56 inf + 0 152.124 * * [simplify]: Extracting #2: cost 164 inf + 2 152.126 * * [simplify]: Extracting #3: cost 226 inf + 176 152.128 * * [simplify]: Extracting #4: cost 211 inf + 1595 152.132 * * [simplify]: Extracting #5: cost 109 inf + 27791 152.147 * * [simplify]: Extracting #6: cost 8 inf + 95981 152.171 * * [simplify]: Extracting #7: cost 0 inf + 102854 152.208 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 152.208 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 152.208 * * * * [progress]: [ 126 / 667 ] simplifiying candidate # 152.208 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 152.208 * * [simplify]: iters left: 6 (14 enodes) 152.212 * * [simplify]: iters left: 5 (57 enodes) 152.222 * * [simplify]: iters left: 4 (92 enodes) 152.238 * * [simplify]: iters left: 3 (137 enodes) 152.283 * * [simplify]: iters left: 2 (233 enodes) 152.376 * * [simplify]: iters left: 1 (473 enodes) 152.563 * * [simplify]: Extracting #0: cost 1 inf + 0 152.563 * * [simplify]: Extracting #1: cost 53 inf + 0 152.564 * * [simplify]: Extracting #2: cost 159 inf + 0 152.566 * * [simplify]: Extracting #3: cost 227 inf + 3 152.568 * * [simplify]: Extracting #4: cost 242 inf + 225 152.570 * * [simplify]: Extracting #5: cost 229 inf + 1711 152.577 * * [simplify]: Extracting #6: cost 144 inf + 18781 152.604 * * [simplify]: Extracting #7: cost 46 inf + 96415 152.636 * * [simplify]: Extracting #8: cost 2 inf + 139189 152.656 * * [simplify]: Extracting #9: cost 0 inf + 141394 152.682 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 152.682 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))) 152.683 * * * * [progress]: [ 127 / 667 ] simplifiying candidate # 152.683 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) 152.683 * * [simplify]: iters left: 6 (12 enodes) 152.691 * * [simplify]: iters left: 5 (51 enodes) 152.707 * * [simplify]: iters left: 4 (84 enodes) 152.735 * * [simplify]: iters left: 3 (131 enodes) 152.775 * * [simplify]: iters left: 2 (224 enodes) 152.840 * * [simplify]: iters left: 1 (449 enodes) 153.037 * * [simplify]: Extracting #0: cost 1 inf + 0 153.038 * * [simplify]: Extracting #1: cost 62 inf + 0 153.039 * * [simplify]: Extracting #2: cost 171 inf + 2 153.040 * * [simplify]: Extracting #3: cost 232 inf + 176 153.043 * * [simplify]: Extracting #4: cost 217 inf + 1766 153.055 * * [simplify]: Extracting #5: cost 95 inf + 46550 153.085 * * [simplify]: Extracting #6: cost 4 inf + 103776 153.107 * * [simplify]: Extracting #7: cost 0 inf + 106713 153.127 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 153.127 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 153.127 * * * * [progress]: [ 128 / 667 ] simplifiying candidate # 153.128 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 153.128 * * [simplify]: iters left: 6 (14 enodes) 153.132 * * [simplify]: iters left: 5 (57 enodes) 153.143 * * [simplify]: iters left: 4 (92 enodes) 153.161 * * [simplify]: iters left: 3 (137 enodes) 153.206 * * [simplify]: iters left: 2 (233 enodes) 153.287 * * [simplify]: iters left: 1 (473 enodes) 153.514 * * [simplify]: Extracting #0: cost 1 inf + 0 153.514 * * [simplify]: Extracting #1: cost 53 inf + 0 153.514 * * [simplify]: Extracting #2: cost 159 inf + 0 153.515 * * [simplify]: Extracting #3: cost 227 inf + 3 153.520 * * [simplify]: Extracting #4: cost 242 inf + 225 153.522 * * [simplify]: Extracting #5: cost 229 inf + 1711 153.525 * * [simplify]: Extracting #6: cost 144 inf + 18781 153.540 * * [simplify]: Extracting #7: cost 46 inf + 96415 153.580 * * [simplify]: Extracting #8: cost 2 inf + 139189 153.603 * * [simplify]: Extracting #9: cost 0 inf + 141394 153.627 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 153.627 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))) 153.628 * * * * [progress]: [ 129 / 667 ] simplifiying candidate # 153.628 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) 153.628 * * [simplify]: iters left: 6 (11 enodes) 153.634 * * [simplify]: iters left: 5 (46 enodes) 153.643 * * [simplify]: iters left: 4 (77 enodes) 153.658 * * [simplify]: iters left: 3 (131 enodes) 153.685 * * [simplify]: iters left: 2 (250 enodes) 153.762 * * [simplify]: Extracting #0: cost 1 inf + 0 153.762 * * [simplify]: Extracting #1: cost 31 inf + 0 153.763 * * [simplify]: Extracting #2: cost 106 inf + 2 153.764 * * [simplify]: Extracting #3: cost 143 inf + 217 153.765 * * [simplify]: Extracting #4: cost 137 inf + 845 153.768 * * [simplify]: Extracting #5: cost 94 inf + 5732 153.774 * * [simplify]: Extracting #6: cost 46 inf + 26137 153.787 * * [simplify]: Extracting #7: cost 2 inf + 57094 153.802 * * [simplify]: Extracting #8: cost 0 inf + 57619 153.818 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 153.818 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 153.818 * * * * [progress]: [ 130 / 667 ] simplifiying candidate # 153.818 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 153.818 * * [simplify]: iters left: 6 (11 enodes) 153.824 * * [simplify]: iters left: 5 (45 enodes) 153.837 * * [simplify]: iters left: 4 (68 enodes) 153.851 * * [simplify]: iters left: 3 (110 enodes) 153.876 * * [simplify]: iters left: 2 (217 enodes) 153.930 * * [simplify]: iters left: 1 (409 enodes) 154.117 * * [simplify]: Extracting #0: cost 1 inf + 0 154.117 * * [simplify]: Extracting #1: cost 6 inf + 0 154.117 * * [simplify]: Extracting #2: cost 42 inf + 0 154.118 * * [simplify]: Extracting #3: cost 137 inf + 1 154.120 * * [simplify]: Extracting #4: cost 192 inf + 1045 154.125 * * [simplify]: Extracting #5: cost 129 inf + 15057 154.143 * * [simplify]: Extracting #6: cost 17 inf + 65999 154.168 * * [simplify]: Extracting #7: cost 0 inf + 75164 154.189 * * [simplify]: Extracting #8: cost 0 inf + 75042 154.210 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 154.210 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))) (sqrt (sqrt k)))) 154.211 * * * * [progress]: [ 131 / 667 ] simplifiying candidate # 154.211 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 154.211 * * [simplify]: iters left: 6 (14 enodes) 154.219 * * [simplify]: iters left: 5 (57 enodes) 154.238 * * [simplify]: iters left: 4 (90 enodes) 154.265 * * [simplify]: iters left: 3 (128 enodes) 154.307 * * [simplify]: iters left: 2 (208 enodes) 154.387 * * [simplify]: iters left: 1 (391 enodes) 154.541 * * [simplify]: Extracting #0: cost 1 inf + 0 154.541 * * [simplify]: Extracting #1: cost 4 inf + 0 154.541 * * [simplify]: Extracting #2: cost 8 inf + 0 154.541 * * [simplify]: Extracting #3: cost 39 inf + 0 154.542 * * [simplify]: Extracting #4: cost 119 inf + 43 154.543 * * [simplify]: Extracting #5: cost 174 inf + 340 154.546 * * [simplify]: Extracting #6: cost 122 inf + 9169 154.555 * * [simplify]: Extracting #7: cost 62 inf + 21307 154.566 * * [simplify]: Extracting #8: cost 14 inf + 55874 154.576 * * [simplify]: Extracting #9: cost 0 inf + 69901 154.586 * * [simplify]: Extracting #10: cost 0 inf + 69057 154.599 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 154.600 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))) (sqrt (sqrt k)))) 154.600 * * * * [progress]: [ 132 / 667 ] simplifiying candidate # 154.600 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 154.600 * * [simplify]: iters left: 6 (14 enodes) 154.607 * * [simplify]: iters left: 5 (57 enodes) 154.627 * * [simplify]: iters left: 4 (91 enodes) 154.650 * * [simplify]: iters left: 3 (129 enodes) 154.687 * * [simplify]: iters left: 2 (209 enodes) 154.766 * * [simplify]: iters left: 1 (390 enodes) 154.917 * * [simplify]: Extracting #0: cost 1 inf + 0 154.918 * * [simplify]: Extracting #1: cost 4 inf + 0 154.918 * * [simplify]: Extracting #2: cost 9 inf + 0 154.918 * * [simplify]: Extracting #3: cost 43 inf + 0 154.919 * * [simplify]: Extracting #4: cost 133 inf + 43 154.920 * * [simplify]: Extracting #5: cost 163 inf + 425 154.923 * * [simplify]: Extracting #6: cost 112 inf + 6631 154.930 * * [simplify]: Extracting #7: cost 64 inf + 15667 154.946 * * [simplify]: Extracting #8: cost 27 inf + 43813 154.963 * * [simplify]: Extracting #9: cost 0 inf + 66144 154.974 * * [simplify]: Extracting #10: cost 0 inf + 65050 154.984 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 154.984 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))) (sqrt (sqrt k)))) 154.984 * * * * [progress]: [ 133 / 667 ] simplifiying candidate # 154.984 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 154.985 * * [simplify]: iters left: 6 (13 enodes) 154.988 * * [simplify]: iters left: 5 (54 enodes) 154.998 * * [simplify]: iters left: 4 (85 enodes) 155.015 * * [simplify]: iters left: 3 (129 enodes) 155.064 * * [simplify]: iters left: 2 (231 enodes) 155.112 * * [simplify]: iters left: 1 (414 enodes) 155.232 * * [simplify]: Extracting #0: cost 1 inf + 0 155.232 * * [simplify]: Extracting #1: cost 6 inf + 0 155.232 * * [simplify]: Extracting #2: cost 41 inf + 0 155.232 * * [simplify]: Extracting #3: cost 135 inf + 1 155.233 * * [simplify]: Extracting #4: cost 175 inf + 588 155.234 * * [simplify]: Extracting #5: cost 140 inf + 4184 155.238 * * [simplify]: Extracting #6: cost 75 inf + 18889 155.249 * * [simplify]: Extracting #7: cost 8 inf + 68398 155.262 * * [simplify]: Extracting #8: cost 0 inf + 73201 155.278 * * [simplify]: Extracting #9: cost 0 inf + 72608 155.291 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 155.291 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))) 155.291 * * * * [progress]: [ 134 / 667 ] simplifiying candidate # 155.292 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 155.292 * * [simplify]: iters left: 6 (14 enodes) 155.297 * * [simplify]: iters left: 5 (60 enodes) 155.316 * * [simplify]: iters left: 4 (98 enodes) 155.348 * * [simplify]: iters left: 3 (157 enodes) 155.397 * * [simplify]: iters left: 2 (285 enodes) 155.480 * * [simplify]: Extracting #0: cost 1 inf + 0 155.480 * * [simplify]: Extracting #1: cost 6 inf + 0 155.480 * * [simplify]: Extracting #2: cost 26 inf + 0 155.481 * * [simplify]: Extracting #3: cost 95 inf + 1 155.482 * * [simplify]: Extracting #4: cost 120 inf + 343 155.484 * * [simplify]: Extracting #5: cost 77 inf + 6024 155.493 * * [simplify]: Extracting #6: cost 13 inf + 27206 155.503 * * [simplify]: Extracting #7: cost 0 inf + 36170 155.517 * * [simplify]: Extracting #8: cost 0 inf + 35675 155.528 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) 155.528 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k))))) (sqrt (sqrt k)))) 155.528 * * * * [progress]: [ 135 / 667 ] simplifiying candidate # 155.528 * [simplify]: Simplifying (* (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ k 2))) 155.528 * * [simplify]: iters left: 6 (11 enodes) 155.534 * * [simplify]: iters left: 5 (41 enodes) 155.547 * * [simplify]: iters left: 4 (65 enodes) 155.564 * * [simplify]: iters left: 3 (111 enodes) 155.584 * * [simplify]: iters left: 2 (212 enodes) 155.650 * * [simplify]: Extracting #0: cost 1 inf + 0 155.650 * * [simplify]: Extracting #1: cost 38 inf + 0 155.651 * * [simplify]: Extracting #2: cost 104 inf + 0 155.651 * * [simplify]: Extracting #3: cost 139 inf + 2 155.652 * * [simplify]: Extracting #4: cost 124 inf + 841 155.654 * * [simplify]: Extracting #5: cost 65 inf + 18087 155.661 * * [simplify]: Extracting #6: cost 7 inf + 55762 155.669 * * [simplify]: Extracting #7: cost 0 inf + 61607 155.679 * [simplify]: Simplified to (* (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ k 2))) 155.679 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))) (sqrt (sqrt k)))) 155.679 * * * * [progress]: [ 136 / 667 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt k))))> 155.680 * [simplify]: Simplifying (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 155.680 * * [simplify]: iters left: 6 (14 enodes) 155.687 * * [simplify]: iters left: 5 (54 enodes) 155.704 * * [simplify]: iters left: 4 (89 enodes) 155.735 * * [simplify]: iters left: 3 (134 enodes) 155.768 * * [simplify]: iters left: 2 (230 enodes) 155.833 * * [simplify]: iters left: 1 (477 enodes) 156.071 * * [simplify]: Extracting #0: cost 1 inf + 0 156.071 * * [simplify]: Extracting #1: cost 2 inf + 0 156.071 * * [simplify]: Extracting #2: cost 50 inf + 0 156.072 * * [simplify]: Extracting #3: cost 158 inf + 0 156.072 * * [simplify]: Extracting #4: cost 236 inf + 3 156.074 * * [simplify]: Extracting #5: cost 236 inf + 1377 156.078 * * [simplify]: Extracting #6: cost 151 inf + 23504 156.092 * * [simplify]: Extracting #7: cost 25 inf + 119433 156.114 * * [simplify]: Extracting #8: cost 0 inf + 141111 156.139 * * [simplify]: Extracting #9: cost 0 inf + 140268 156.180 * [simplify]: Simplified to (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 156.181 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (posit16->real (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt k)))) 156.181 * * * * [progress]: [ 137 / 667 ] simplifiying candidate # 156.181 * * * * [progress]: [ 138 / 667 ] simplifiying candidate # 156.181 * [simplify]: Simplifying (- (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 156.181 * * [simplify]: iters left: 6 (18 enodes) 156.191 * * [simplify]: iters left: 5 (74 enodes) 156.215 * * [simplify]: iters left: 4 (131 enodes) 156.276 * * [simplify]: iters left: 3 (373 enodes) 156.480 * * [simplify]: Extracting #0: cost 1 inf + 0 156.480 * * [simplify]: Extracting #1: cost 65 inf + 0 156.481 * * [simplify]: Extracting #2: cost 180 inf + 0 156.481 * * [simplify]: Extracting #3: cost 241 inf + 73 156.483 * * [simplify]: Extracting #4: cost 230 inf + 7629 156.496 * * [simplify]: Extracting #5: cost 65 inf + 58673 156.512 * * [simplify]: Extracting #6: cost 1 inf + 86718 156.544 * * [simplify]: Extracting #7: cost 0 inf + 87292 156.576 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 156.576 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))))) 156.577 * * * * [progress]: [ 139 / 667 ] simplifiying candidate # 156.577 * [simplify]: Simplifying (- (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 156.577 * * [simplify]: iters left: 6 (17 enodes) 156.587 * * [simplify]: iters left: 5 (72 enodes) 156.610 * * [simplify]: iters left: 4 (124 enodes) 156.660 * * [simplify]: iters left: 3 (301 enodes) 156.767 * * [simplify]: Extracting #0: cost 1 inf + 0 156.767 * * [simplify]: Extracting #1: cost 42 inf + 0 156.768 * * [simplify]: Extracting #2: cost 146 inf + 0 156.768 * * [simplify]: Extracting #3: cost 202 inf + 2 156.770 * * [simplify]: Extracting #4: cost 183 inf + 9826 156.778 * * [simplify]: Extracting #5: cost 38 inf + 50039 156.790 * * [simplify]: Extracting #6: cost 0 inf + 63115 156.809 * * [simplify]: Extracting #7: cost 0 inf + 63113 156.833 * [simplify]: Simplified to (- (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 156.833 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))))) 156.833 * * * * [progress]: [ 140 / 667 ] simplifiying candidate # 156.833 * [simplify]: Simplifying (- (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 156.833 * * [simplify]: iters left: 6 (16 enodes) 156.842 * * [simplify]: iters left: 5 (71 enodes) 156.865 * * [simplify]: iters left: 4 (131 enodes) 156.890 * * [simplify]: iters left: 3 (270 enodes) 156.973 * * [simplify]: Extracting #0: cost 1 inf + 0 156.974 * * [simplify]: Extracting #1: cost 31 inf + 0 156.974 * * [simplify]: Extracting #2: cost 113 inf + 0 156.974 * * [simplify]: Extracting #3: cost 178 inf + 2 156.975 * * [simplify]: Extracting #4: cost 196 inf + 1377 156.977 * * [simplify]: Extracting #5: cost 126 inf + 12295 156.987 * * [simplify]: Extracting #6: cost 28 inf + 38175 156.997 * * [simplify]: Extracting #7: cost 0 inf + 48975 157.006 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 157.006 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))))) 157.006 * * * * [progress]: [ 141 / 667 ] simplifiying candidate # 157.006 * [simplify]: Simplifying (- (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 157.007 * * [simplify]: iters left: 6 (16 enodes) 157.011 * * [simplify]: iters left: 5 (71 enodes) 157.025 * * [simplify]: iters left: 4 (131 enodes) 157.051 * * [simplify]: iters left: 3 (270 enodes) 157.150 * * [simplify]: Extracting #0: cost 1 inf + 0 157.150 * * [simplify]: Extracting #1: cost 31 inf + 0 157.150 * * [simplify]: Extracting #2: cost 113 inf + 0 157.151 * * [simplify]: Extracting #3: cost 178 inf + 2 157.151 * * [simplify]: Extracting #4: cost 196 inf + 1377 157.154 * * [simplify]: Extracting #5: cost 126 inf + 12295 157.164 * * [simplify]: Extracting #6: cost 28 inf + 38175 157.184 * * [simplify]: Extracting #7: cost 0 inf + 48975 157.193 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 157.194 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))))) 157.194 * * * * [progress]: [ 142 / 667 ] simplifiying candidate # 157.194 * [simplify]: Simplifying (- (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 157.194 * * [simplify]: iters left: 6 (16 enodes) 157.199 * * [simplify]: iters left: 5 (70 enodes) 157.212 * * [simplify]: iters left: 4 (131 enodes) 157.234 * * [simplify]: iters left: 3 (253 enodes) 157.321 * * [simplify]: Extracting #0: cost 1 inf + 0 157.321 * * [simplify]: Extracting #1: cost 28 inf + 0 157.321 * * [simplify]: Extracting #2: cost 139 inf + 0 157.322 * * [simplify]: Extracting #3: cost 216 inf + 2 157.323 * * [simplify]: Extracting #4: cost 190 inf + 5857 157.329 * * [simplify]: Extracting #5: cost 57 inf + 36883 157.338 * * [simplify]: Extracting #6: cost 3 inf + 55738 157.358 * * [simplify]: Extracting #7: cost 0 inf + 56722 157.379 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 157.379 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))))) 157.379 * * * * [progress]: [ 143 / 667 ] simplifiying candidate # 157.379 * [simplify]: Simplifying (- (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 157.380 * * [simplify]: iters left: 6 (16 enodes) 157.387 * * [simplify]: iters left: 5 (67 enodes) 157.398 * * [simplify]: iters left: 4 (116 enodes) 157.418 * * [simplify]: iters left: 3 (215 enodes) 157.473 * * [simplify]: Extracting #0: cost 1 inf + 0 157.473 * * [simplify]: Extracting #1: cost 16 inf + 0 157.474 * * [simplify]: Extracting #2: cost 102 inf + 0 157.474 * * [simplify]: Extracting #3: cost 165 inf + 2 157.475 * * [simplify]: Extracting #4: cost 190 inf + 79 157.476 * * [simplify]: Extracting #5: cost 143 inf + 9052 157.482 * * [simplify]: Extracting #6: cost 19 inf + 43354 157.489 * * [simplify]: Extracting #7: cost 0 inf + 51721 157.498 * * [simplify]: Extracting #8: cost 0 inf + 51621 157.513 * [simplify]: Simplified to (- (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 157.513 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))))) 157.514 * * * * [progress]: [ 144 / 667 ] simplifiying candidate # 157.514 * [simplify]: Simplifying (log (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 157.514 * * [simplify]: iters left: 6 (15 enodes) 157.521 * * [simplify]: iters left: 5 (65 enodes) 157.535 * * [simplify]: iters left: 4 (112 enodes) 157.556 * * [simplify]: iters left: 3 (188 enodes) 157.598 * * [simplify]: iters left: 2 (382 enodes) 157.728 * * [simplify]: Extracting #0: cost 1 inf + 0 157.728 * * [simplify]: Extracting #1: cost 32 inf + 0 157.728 * * [simplify]: Extracting #2: cost 173 inf + 0 157.730 * * [simplify]: Extracting #3: cost 329 inf + 3 157.739 * * [simplify]: Extracting #4: cost 348 inf + 2617 157.747 * * [simplify]: Extracting #5: cost 232 inf + 27195 157.774 * * [simplify]: Extracting #6: cost 61 inf + 110754 157.812 * * [simplify]: Extracting #7: cost 1 inf + 150742 157.835 * * [simplify]: Extracting #8: cost 0 inf + 150337 157.861 * [simplify]: Simplified to (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))) 157.861 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))))) 157.861 * * * * [progress]: [ 145 / 667 ] simplifiying candidate # 157.861 * [simplify]: Simplifying (exp (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 157.861 * * [simplify]: iters left: 6 (15 enodes) 157.866 * * [simplify]: iters left: 5 (62 enodes) 157.878 * * [simplify]: iters left: 4 (99 enodes) 157.906 * * [simplify]: iters left: 3 (154 enodes) 157.932 * * [simplify]: iters left: 2 (275 enodes) 158.025 * * [simplify]: Extracting #0: cost 1 inf + 0 158.025 * * [simplify]: Extracting #1: cost 13 inf + 0 158.025 * * [simplify]: Extracting #2: cost 79 inf + 0 158.026 * * [simplify]: Extracting #3: cost 183 inf + 1 158.028 * * [simplify]: Extracting #4: cost 197 inf + 3931 158.034 * * [simplify]: Extracting #5: cost 131 inf + 22169 158.049 * * [simplify]: Extracting #6: cost 25 inf + 88560 158.065 * * [simplify]: Extracting #7: cost 1 inf + 108213 158.080 * * [simplify]: Extracting #8: cost 0 inf + 107028 158.106 * * [simplify]: Extracting #9: cost 0 inf + 106908 158.133 * [simplify]: Simplified to (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 158.133 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 158.134 * * * * [progress]: [ 146 / 667 ] simplifiying candidate # 158.134 * [simplify]: Simplifying (/ (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 158.134 * * [simplify]: iters left: 6 (18 enodes) 158.145 * * [simplify]: iters left: 5 (82 enodes) 158.177 * * [simplify]: iters left: 4 (223 enodes) 158.275 * * [simplify]: Extracting #0: cost 1 inf + 0 158.275 * * [simplify]: Extracting #1: cost 74 inf + 0 158.277 * * [simplify]: Extracting #2: cost 194 inf + 42 158.279 * * [simplify]: Extracting #3: cost 226 inf + 449 158.281 * * [simplify]: Extracting #4: cost 218 inf + 1531 158.286 * * [simplify]: Extracting #5: cost 167 inf + 18163 158.299 * * [simplify]: Extracting #6: cost 41 inf + 93427 158.322 * * [simplify]: Extracting #7: cost 0 inf + 121739 158.351 * * [simplify]: Extracting #8: cost 0 inf + 121419 158.373 * * [simplify]: Extracting #9: cost 0 inf + 121099 158.397 * [simplify]: Simplified to (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) k) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 158.398 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) k) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 158.398 * * * * [progress]: [ 147 / 667 ] simplifiying candidate # 158.398 * [simplify]: Simplifying (/ (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 158.398 * * [simplify]: iters left: 6 (18 enodes) 158.403 * * [simplify]: iters left: 5 (82 enodes) 158.423 * * [simplify]: iters left: 4 (198 enodes) 158.497 * * [simplify]: Extracting #0: cost 1 inf + 0 158.497 * * [simplify]: Extracting #1: cost 67 inf + 0 158.498 * * [simplify]: Extracting #2: cost 158 inf + 1 158.498 * * [simplify]: Extracting #3: cost 178 inf + 3 158.499 * * [simplify]: Extracting #4: cost 176 inf + 382 158.501 * * [simplify]: Extracting #5: cost 135 inf + 10603 158.517 * * [simplify]: Extracting #6: cost 24 inf + 77572 158.548 * * [simplify]: Extracting #7: cost 0 inf + 93456 158.579 * * [simplify]: Extracting #8: cost 0 inf + 93136 158.611 * [simplify]: Simplified to (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))) 158.611 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))) 158.611 * * * * [progress]: [ 148 / 667 ] simplifiying candidate # 158.611 * [simplify]: Simplifying (* (cbrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 158.612 * * [simplify]: iters left: 6 (16 enodes) 158.616 * * [simplify]: iters left: 5 (65 enodes) 158.628 * * [simplify]: iters left: 4 (102 enodes) 158.646 * * [simplify]: iters left: 3 (158 enodes) 158.692 * * [simplify]: iters left: 2 (279 enodes) 158.789 * * [simplify]: Extracting #0: cost 1 inf + 0 158.789 * * [simplify]: Extracting #1: cost 3 inf + 0 158.789 * * [simplify]: Extracting #2: cost 5 inf + 0 158.790 * * [simplify]: Extracting #3: cost 54 inf + 0 158.790 * * [simplify]: Extracting #4: cost 138 inf + 0 158.790 * * [simplify]: Extracting #5: cost 199 inf + 3 158.792 * * [simplify]: Extracting #6: cost 175 inf + 6429 158.798 * * [simplify]: Extracting #7: cost 69 inf + 56408 158.819 * * [simplify]: Extracting #8: cost 1 inf + 103611 158.834 * * [simplify]: Extracting #9: cost 0 inf + 100884 158.853 * * [simplify]: Extracting #10: cost 0 inf + 100713 158.869 * [simplify]: Simplified to (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 158.869 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 158.869 * [simplify]: Simplifying (cbrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 158.869 * * [simplify]: iters left: 6 (15 enodes) 158.873 * * [simplify]: iters left: 5 (62 enodes) 158.884 * * [simplify]: iters left: 4 (99 enodes) 158.908 * * [simplify]: iters left: 3 (152 enodes) 158.937 * * [simplify]: iters left: 2 (268 enodes) 159.047 * * [simplify]: Extracting #0: cost 1 inf + 0 159.047 * * [simplify]: Extracting #1: cost 3 inf + 0 159.048 * * [simplify]: Extracting #2: cost 52 inf + 0 159.048 * * [simplify]: Extracting #3: cost 132 inf + 0 159.049 * * [simplify]: Extracting #4: cost 192 inf + 3 159.051 * * [simplify]: Extracting #5: cost 175 inf + 4074 159.056 * * [simplify]: Extracting #6: cost 117 inf + 18053 159.075 * * [simplify]: Extracting #7: cost 17 inf + 88132 159.100 * * [simplify]: Extracting #8: cost 0 inf + 99593 159.126 * * [simplify]: Extracting #9: cost 0 inf + 99079 159.153 * [simplify]: Simplified to (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 159.153 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 159.154 * * * * [progress]: [ 149 / 667 ] simplifiying candidate # 159.154 * [simplify]: Simplifying (* (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 159.154 * * [simplify]: iters left: 6 (16 enodes) 159.163 * * [simplify]: iters left: 5 (72 enodes) 159.189 * * [simplify]: iters left: 4 (146 enodes) 159.252 * * [simplify]: iters left: 3 (359 enodes) 159.484 * * [simplify]: Extracting #0: cost 1 inf + 0 159.484 * * [simplify]: Extracting #1: cost 97 inf + 0 159.485 * * [simplify]: Extracting #2: cost 289 inf + 2 159.486 * * [simplify]: Extracting #3: cost 324 inf + 671 159.488 * * [simplify]: Extracting #4: cost 312 inf + 3077 159.493 * * [simplify]: Extracting #5: cost 235 inf + 33667 159.515 * * [simplify]: Extracting #6: cost 47 inf + 164972 159.551 * * [simplify]: Extracting #7: cost 0 inf + 203797 159.588 * [simplify]: Simplified to (* (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 159.588 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 159.588 * * * * [progress]: [ 150 / 667 ] simplifiying candidate # 159.588 * [simplify]: Simplifying (sqrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 159.588 * * [simplify]: iters left: 6 (15 enodes) 159.595 * * [simplify]: iters left: 5 (62 enodes) 159.615 * * [simplify]: iters left: 4 (99 enodes) 159.646 * * [simplify]: iters left: 3 (153 enodes) 159.697 * * [simplify]: iters left: 2 (269 enodes) 159.789 * * [simplify]: Extracting #0: cost 1 inf + 0 159.789 * * [simplify]: Extracting #1: cost 4 inf + 0 159.790 * * [simplify]: Extracting #2: cost 60 inf + 0 159.791 * * [simplify]: Extracting #3: cost 138 inf + 0 159.792 * * [simplify]: Extracting #4: cost 194 inf + 3 159.794 * * [simplify]: Extracting #5: cost 169 inf + 5067 159.803 * * [simplify]: Extracting #6: cost 88 inf + 37235 159.824 * * [simplify]: Extracting #7: cost 10 inf + 90851 159.848 * * [simplify]: Extracting #8: cost 0 inf + 98290 159.862 * * [simplify]: Extracting #9: cost 0 inf + 98159 159.875 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 159.876 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 159.876 * [simplify]: Simplifying (sqrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 159.876 * * [simplify]: iters left: 6 (15 enodes) 159.887 * * [simplify]: iters left: 5 (62 enodes) 159.908 * * [simplify]: iters left: 4 (99 enodes) 159.938 * * [simplify]: iters left: 3 (153 enodes) 159.989 * * [simplify]: iters left: 2 (269 enodes) 160.049 * * [simplify]: Extracting #0: cost 1 inf + 0 160.049 * * [simplify]: Extracting #1: cost 4 inf + 0 160.049 * * [simplify]: Extracting #2: cost 60 inf + 0 160.050 * * [simplify]: Extracting #3: cost 138 inf + 0 160.051 * * [simplify]: Extracting #4: cost 194 inf + 3 160.054 * * [simplify]: Extracting #5: cost 169 inf + 5067 160.063 * * [simplify]: Extracting #6: cost 88 inf + 37235 160.085 * * [simplify]: Extracting #7: cost 10 inf + 90851 160.098 * * [simplify]: Extracting #8: cost 0 inf + 98290 160.113 * * [simplify]: Extracting #9: cost 0 inf + 98159 160.128 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 160.128 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 160.129 * * * * [progress]: [ 151 / 667 ] simplifiying candidate # 160.129 * [simplify]: Simplifying (- (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 160.129 * * [simplify]: iters left: 6 (14 enodes) 160.137 * * [simplify]: iters left: 5 (59 enodes) 160.156 * * [simplify]: iters left: 4 (99 enodes) 160.186 * * [simplify]: iters left: 3 (155 enodes) 160.242 * * [simplify]: iters left: 2 (291 enodes) 160.361 * * [simplify]: Extracting #0: cost 1 inf + 0 160.362 * * [simplify]: Extracting #1: cost 39 inf + 0 160.362 * * [simplify]: Extracting #2: cost 128 inf + 0 160.363 * * [simplify]: Extracting #3: cost 193 inf + 1 160.365 * * [simplify]: Extracting #4: cost 186 inf + 4276 160.373 * * [simplify]: Extracting #5: cost 143 inf + 12044 160.384 * * [simplify]: Extracting #6: cost 75 inf + 49398 160.409 * * [simplify]: Extracting #7: cost 9 inf + 99894 160.427 * * [simplify]: Extracting #8: cost 0 inf + 105953 160.441 * * [simplify]: Extracting #9: cost 0 inf + 105742 160.463 * [simplify]: Simplified to (- (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 160.463 * [simplify]: Simplified (2 1) to (λ (k n) (/ (- (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (- (sqrt (sqrt k))))) 160.464 * [simplify]: Simplifying (- (sqrt (sqrt k))) 160.464 * * [simplify]: iters left: 4 (4 enodes) 160.466 * * [simplify]: iters left: 3 (12 enodes) 160.469 * * [simplify]: Extracting #0: cost 1 inf + 0 160.469 * * [simplify]: Extracting #1: cost 3 inf + 0 160.469 * * [simplify]: Extracting #2: cost 5 inf + 0 160.469 * * [simplify]: Extracting #3: cost 7 inf + 0 160.469 * * [simplify]: Extracting #4: cost 6 inf + 1 160.469 * * [simplify]: Extracting #5: cost 0 inf + 487 160.469 * [simplify]: Simplified to (- (sqrt (sqrt k))) 160.470 * [simplify]: Simplified (2 2) to (λ (k n) (/ (- (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (- (sqrt (sqrt k))))) 160.470 * * * * [progress]: [ 152 / 667 ] simplifiying candidate # 160.470 * [simplify]: Simplifying (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 160.470 * * [simplify]: iters left: 6 (18 enodes) 160.479 * * [simplify]: iters left: 5 (75 enodes) 160.505 * * [simplify]: iters left: 4 (121 enodes) 160.542 * * [simplify]: iters left: 3 (177 enodes) 160.584 * * [simplify]: iters left: 2 (294 enodes) 160.656 * * [simplify]: Extracting #0: cost 1 inf + 0 160.657 * * [simplify]: Extracting #1: cost 11 inf + 0 160.657 * * [simplify]: Extracting #2: cost 22 inf + 0 160.657 * * [simplify]: Extracting #3: cost 52 inf + 0 160.657 * * [simplify]: Extracting #4: cost 95 inf + 0 160.657 * * [simplify]: Extracting #5: cost 152 inf + 3 160.658 * * [simplify]: Extracting #6: cost 139 inf + 2267 160.662 * * [simplify]: Extracting #7: cost 66 inf + 28484 160.678 * * [simplify]: Extracting #8: cost 3 inf + 64469 160.694 * * [simplify]: Extracting #9: cost 0 inf + 65261 160.703 * * [simplify]: Extracting #10: cost 0 inf + 65181 160.712 * [simplify]: Simplified to (* (/ (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 160.712 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 160.713 * [simplify]: Simplifying (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 160.713 * * [simplify]: iters left: 6 (16 enodes) 160.719 * * [simplify]: iters left: 5 (63 enodes) 160.737 * * [simplify]: iters left: 4 (98 enodes) 160.767 * * [simplify]: iters left: 3 (142 enodes) 160.798 * * [simplify]: iters left: 2 (238 enodes) 160.861 * * [simplify]: iters left: 1 (482 enodes) 161.084 * * [simplify]: Extracting #0: cost 1 inf + 0 161.084 * * [simplify]: Extracting #1: cost 4 inf + 0 161.084 * * [simplify]: Extracting #2: cost 8 inf + 0 161.085 * * [simplify]: Extracting #3: cost 57 inf + 0 161.086 * * [simplify]: Extracting #4: cost 157 inf + 0 161.087 * * [simplify]: Extracting #5: cost 226 inf + 4 161.090 * * [simplify]: Extracting #6: cost 214 inf + 5242 161.108 * * [simplify]: Extracting #7: cost 72 inf + 78159 161.144 * * [simplify]: Extracting #8: cost 0 inf + 129980 161.183 * * [simplify]: Extracting #9: cost 0 inf + 128245 161.204 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 161.205 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 161.205 * * * * [progress]: [ 153 / 667 ] simplifiying candidate # 161.205 * [simplify]: Simplifying (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 161.205 * * [simplify]: iters left: 6 (19 enodes) 161.210 * * [simplify]: iters left: 5 (75 enodes) 161.222 * * [simplify]: iters left: 4 (110 enodes) 161.241 * * [simplify]: iters left: 3 (162 enodes) 161.288 * * [simplify]: iters left: 2 (276 enodes) 161.363 * * [simplify]: Extracting #0: cost 1 inf + 0 161.363 * * [simplify]: Extracting #1: cost 7 inf + 0 161.364 * * [simplify]: Extracting #2: cost 15 inf + 0 161.364 * * [simplify]: Extracting #3: cost 47 inf + 0 161.364 * * [simplify]: Extracting #4: cost 90 inf + 0 161.364 * * [simplify]: Extracting #5: cost 145 inf + 3 161.365 * * [simplify]: Extracting #6: cost 134 inf + 2100 161.367 * * [simplify]: Extracting #7: cost 80 inf + 15908 161.379 * * [simplify]: Extracting #8: cost 24 inf + 43426 161.397 * * [simplify]: Extracting #9: cost 2 inf + 58992 161.416 * * [simplify]: Extracting #10: cost 0 inf + 59710 161.436 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 161.436 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 161.436 * [simplify]: Simplifying (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 161.436 * * [simplify]: iters left: 6 (17 enodes) 161.445 * * [simplify]: iters left: 5 (66 enodes) 161.465 * * [simplify]: iters left: 4 (101 enodes) 161.495 * * [simplify]: iters left: 3 (145 enodes) 161.539 * * [simplify]: iters left: 2 (241 enodes) 161.586 * * [simplify]: iters left: 1 (486 enodes) 161.801 * * [simplify]: Extracting #0: cost 1 inf + 0 161.801 * * [simplify]: Extracting #1: cost 4 inf + 0 161.801 * * [simplify]: Extracting #2: cost 8 inf + 0 161.801 * * [simplify]: Extracting #3: cost 60 inf + 0 161.802 * * [simplify]: Extracting #4: cost 171 inf + 0 161.803 * * [simplify]: Extracting #5: cost 242 inf + 4 161.804 * * [simplify]: Extracting #6: cost 221 inf + 9552 161.819 * * [simplify]: Extracting #7: cost 59 inf + 107413 161.858 * * [simplify]: Extracting #8: cost 0 inf + 149274 161.886 * * [simplify]: Extracting #9: cost 0 inf + 148874 161.908 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 161.909 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 161.910 * * * * [progress]: [ 154 / 667 ] simplifiying candidate # 161.910 * [simplify]: Simplifying (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 161.910 * * [simplify]: iters left: 6 (20 enodes) 161.915 * * [simplify]: iters left: 5 (78 enodes) 161.929 * * [simplify]: iters left: 4 (117 enodes) 161.947 * * [simplify]: iters left: 3 (164 enodes) 161.975 * * [simplify]: iters left: 2 (260 enodes) 162.060 * * [simplify]: Extracting #0: cost 1 inf + 0 162.060 * * [simplify]: Extracting #1: cost 7 inf + 0 162.060 * * [simplify]: Extracting #2: cost 14 inf + 0 162.060 * * [simplify]: Extracting #3: cost 46 inf + 0 162.061 * * [simplify]: Extracting #4: cost 91 inf + 0 162.061 * * [simplify]: Extracting #5: cost 144 inf + 447 162.063 * * [simplify]: Extracting #6: cost 135 inf + 2226 162.067 * * [simplify]: Extracting #7: cost 81 inf + 13914 162.078 * * [simplify]: Extracting #8: cost 16 inf + 50594 162.086 * * [simplify]: Extracting #9: cost 0 inf + 61613 162.096 * * [simplify]: Extracting #10: cost 0 inf + 61351 162.104 * [simplify]: Simplified to (/ (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) 162.104 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 162.104 * [simplify]: Simplifying (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 162.105 * * [simplify]: iters left: 6 (18 enodes) 162.110 * * [simplify]: iters left: 5 (69 enodes) 162.127 * * [simplify]: iters left: 4 (104 enodes) 162.152 * * [simplify]: iters left: 3 (152 enodes) 162.188 * * [simplify]: iters left: 2 (249 enodes) 162.253 * * [simplify]: iters left: 1 (493 enodes) 162.455 * * [simplify]: Extracting #0: cost 1 inf + 0 162.455 * * [simplify]: Extracting #1: cost 4 inf + 0 162.455 * * [simplify]: Extracting #2: cost 8 inf + 0 162.455 * * [simplify]: Extracting #3: cost 55 inf + 0 162.456 * * [simplify]: Extracting #4: cost 162 inf + 0 162.457 * * [simplify]: Extracting #5: cost 234 inf + 4 162.460 * * [simplify]: Extracting #6: cost 231 inf + 2078 162.469 * * [simplify]: Extracting #7: cost 159 inf + 16038 162.481 * * [simplify]: Extracting #8: cost 46 inf + 95095 162.500 * * [simplify]: Extracting #9: cost 3 inf + 135883 162.538 * * [simplify]: Extracting #10: cost 0 inf + 138166 162.576 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 162.576 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 162.577 * * * * [progress]: [ 155 / 667 ] simplifiying candidate # 162.577 * [simplify]: Simplifying (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 162.577 * * [simplify]: iters left: 6 (17 enodes) 162.583 * * [simplify]: iters left: 5 (68 enodes) 162.596 * * [simplify]: iters left: 4 (107 enodes) 162.614 * * [simplify]: iters left: 3 (159 enodes) 162.649 * * [simplify]: iters left: 2 (256 enodes) 162.709 * * [simplify]: Extracting #0: cost 1 inf + 0 162.709 * * [simplify]: Extracting #1: cost 7 inf + 0 162.709 * * [simplify]: Extracting #2: cost 14 inf + 0 162.709 * * [simplify]: Extracting #3: cost 44 inf + 0 162.709 * * [simplify]: Extracting #4: cost 87 inf + 0 162.709 * * [simplify]: Extracting #5: cost 142 inf + 3 162.710 * * [simplify]: Extracting #6: cost 137 inf + 1336 162.712 * * [simplify]: Extracting #7: cost 82 inf + 14945 162.718 * * [simplify]: Extracting #8: cost 25 inf + 43401 162.725 * * [simplify]: Extracting #9: cost 2 inf + 60596 162.740 * * [simplify]: Extracting #10: cost 0 inf + 61785 162.752 * [simplify]: Simplified to (/ (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 162.752 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 162.752 * [simplify]: Simplifying (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 162.752 * * [simplify]: iters left: 6 (16 enodes) 162.757 * * [simplify]: iters left: 5 (63 enodes) 162.768 * * [simplify]: iters left: 4 (98 enodes) 162.796 * * [simplify]: iters left: 3 (142 enodes) 162.843 * * [simplify]: iters left: 2 (238 enodes) 162.913 * * [simplify]: iters left: 1 (482 enodes) 163.164 * * [simplify]: Extracting #0: cost 1 inf + 0 163.164 * * [simplify]: Extracting #1: cost 4 inf + 0 163.164 * * [simplify]: Extracting #2: cost 8 inf + 0 163.164 * * [simplify]: Extracting #3: cost 57 inf + 0 163.165 * * [simplify]: Extracting #4: cost 157 inf + 0 163.165 * * [simplify]: Extracting #5: cost 226 inf + 4 163.168 * * [simplify]: Extracting #6: cost 214 inf + 5202 163.186 * * [simplify]: Extracting #7: cost 72 inf + 78039 163.221 * * [simplify]: Extracting #8: cost 0 inf + 129820 163.239 * * [simplify]: Extracting #9: cost 0 inf + 128085 163.261 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 163.261 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 163.261 * * * * [progress]: [ 156 / 667 ] simplifiying candidate # 163.261 * [simplify]: Simplifying (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt 1))) 163.262 * * [simplify]: iters left: 6 (18 enodes) 163.267 * * [simplify]: iters left: 5 (71 enodes) 163.279 * * [simplify]: iters left: 4 (110 enodes) 163.297 * * [simplify]: iters left: 3 (162 enodes) 163.342 * * [simplify]: iters left: 2 (260 enodes) 163.404 * * [simplify]: Extracting #0: cost 1 inf + 0 163.404 * * [simplify]: Extracting #1: cost 5 inf + 0 163.404 * * [simplify]: Extracting #2: cost 7 inf + 1 163.404 * * [simplify]: Extracting #3: cost 36 inf + 1 163.404 * * [simplify]: Extracting #4: cost 80 inf + 1 163.405 * * [simplify]: Extracting #5: cost 138 inf + 3 163.405 * * [simplify]: Extracting #6: cost 140 inf + 1138 163.407 * * [simplify]: Extracting #7: cost 83 inf + 12683 163.418 * * [simplify]: Extracting #8: cost 20 inf + 45149 163.429 * * [simplify]: Extracting #9: cost 0 inf + 60663 163.437 * * [simplify]: Extracting #10: cost 0 inf + 60240 163.448 * [simplify]: Simplified to (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 163.448 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 163.448 * [simplify]: Simplifying (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 163.448 * * [simplify]: iters left: 6 (15 enodes) 163.453 * * [simplify]: iters left: 5 (60 enodes) 163.464 * * [simplify]: iters left: 4 (95 enodes) 163.494 * * [simplify]: iters left: 3 (144 enodes) 163.527 * * [simplify]: iters left: 2 (241 enodes) 163.609 * * [simplify]: iters left: 1 (479 enodes) 163.789 * * [simplify]: Extracting #0: cost 1 inf + 0 163.789 * * [simplify]: Extracting #1: cost 4 inf + 0 163.790 * * [simplify]: Extracting #2: cost 8 inf + 0 163.790 * * [simplify]: Extracting #3: cost 57 inf + 0 163.791 * * [simplify]: Extracting #4: cost 154 inf + 1 163.793 * * [simplify]: Extracting #5: cost 222 inf + 248 163.796 * * [simplify]: Extracting #6: cost 212 inf + 3324 163.803 * * [simplify]: Extracting #7: cost 151 inf + 18049 163.834 * * [simplify]: Extracting #8: cost 45 inf + 92033 163.875 * * [simplify]: Extracting #9: cost 0 inf + 131412 163.911 * * [simplify]: Extracting #10: cost 0 inf + 130430 163.932 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 163.932 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 163.932 * * * * [progress]: [ 157 / 667 ] simplifiying candidate # 163.932 * [simplify]: Simplifying (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 163.933 * * [simplify]: iters left: 6 (17 enodes) 163.938 * * [simplify]: iters left: 5 (68 enodes) 163.955 * * [simplify]: iters left: 4 (107 enodes) 163.981 * * [simplify]: iters left: 3 (159 enodes) 164.008 * * [simplify]: iters left: 2 (256 enodes) 164.060 * * [simplify]: Extracting #0: cost 1 inf + 0 164.060 * * [simplify]: Extracting #1: cost 7 inf + 0 164.060 * * [simplify]: Extracting #2: cost 14 inf + 0 164.060 * * [simplify]: Extracting #3: cost 44 inf + 0 164.060 * * [simplify]: Extracting #4: cost 87 inf + 0 164.061 * * [simplify]: Extracting #5: cost 142 inf + 3 164.062 * * [simplify]: Extracting #6: cost 137 inf + 1336 164.064 * * [simplify]: Extracting #7: cost 82 inf + 14945 164.069 * * [simplify]: Extracting #8: cost 25 inf + 43401 164.078 * * [simplify]: Extracting #9: cost 2 inf + 60596 164.094 * * [simplify]: Extracting #10: cost 0 inf + 61785 164.107 * [simplify]: Simplified to (/ (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 164.107 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 164.107 * [simplify]: Simplifying (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 164.107 * * [simplify]: iters left: 6 (16 enodes) 164.112 * * [simplify]: iters left: 5 (63 enodes) 164.124 * * [simplify]: iters left: 4 (98 enodes) 164.142 * * [simplify]: iters left: 3 (142 enodes) 164.174 * * [simplify]: iters left: 2 (238 enodes) 164.230 * * [simplify]: iters left: 1 (482 enodes) 164.384 * * [simplify]: Extracting #0: cost 1 inf + 0 164.384 * * [simplify]: Extracting #1: cost 4 inf + 0 164.384 * * [simplify]: Extracting #2: cost 8 inf + 0 164.384 * * [simplify]: Extracting #3: cost 57 inf + 0 164.385 * * [simplify]: Extracting #4: cost 157 inf + 0 164.387 * * [simplify]: Extracting #5: cost 226 inf + 4 164.390 * * [simplify]: Extracting #6: cost 214 inf + 5202 164.408 * * [simplify]: Extracting #7: cost 72 inf + 78039 164.430 * * [simplify]: Extracting #8: cost 0 inf + 129820 164.453 * * [simplify]: Extracting #9: cost 0 inf + 128085 164.491 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 164.491 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 164.492 * * * * [progress]: [ 158 / 667 ] simplifiying candidate # 164.492 * [simplify]: Simplifying (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt 1)) 164.492 * * [simplify]: iters left: 6 (17 enodes) 164.502 * * [simplify]: iters left: 5 (68 enodes) 164.524 * * [simplify]: iters left: 4 (107 enodes) 164.557 * * [simplify]: iters left: 3 (160 enodes) 164.608 * * [simplify]: iters left: 2 (258 enodes) 164.671 * * [simplify]: Extracting #0: cost 1 inf + 0 164.671 * * [simplify]: Extracting #1: cost 5 inf + 0 164.671 * * [simplify]: Extracting #2: cost 7 inf + 1 164.671 * * [simplify]: Extracting #3: cost 36 inf + 1 164.672 * * [simplify]: Extracting #4: cost 79 inf + 1 164.672 * * [simplify]: Extracting #5: cost 136 inf + 3 164.673 * * [simplify]: Extracting #6: cost 138 inf + 553 164.674 * * [simplify]: Extracting #7: cost 91 inf + 9268 164.678 * * [simplify]: Extracting #8: cost 27 inf + 38646 164.685 * * [simplify]: Extracting #9: cost 3 inf + 56960 164.693 * * [simplify]: Extracting #10: cost 0 inf + 58660 164.702 * [simplify]: Simplified to (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 164.702 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 164.702 * [simplify]: Simplifying (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 164.702 * * [simplify]: iters left: 6 (15 enodes) 164.706 * * [simplify]: iters left: 5 (60 enodes) 164.720 * * [simplify]: iters left: 4 (95 enodes) 164.735 * * [simplify]: iters left: 3 (144 enodes) 164.774 * * [simplify]: iters left: 2 (241 enodes) 164.863 * * [simplify]: iters left: 1 (479 enodes) 165.123 * * [simplify]: Extracting #0: cost 1 inf + 0 165.123 * * [simplify]: Extracting #1: cost 4 inf + 0 165.123 * * [simplify]: Extracting #2: cost 8 inf + 0 165.123 * * [simplify]: Extracting #3: cost 57 inf + 0 165.124 * * [simplify]: Extracting #4: cost 154 inf + 1 165.125 * * [simplify]: Extracting #5: cost 222 inf + 248 165.128 * * [simplify]: Extracting #6: cost 212 inf + 3324 165.135 * * [simplify]: Extracting #7: cost 151 inf + 18049 165.161 * * [simplify]: Extracting #8: cost 45 inf + 92033 165.207 * * [simplify]: Extracting #9: cost 0 inf + 131412 165.249 * * [simplify]: Extracting #10: cost 0 inf + 130430 165.288 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 165.288 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt 1)) (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 165.288 * * * * [progress]: [ 159 / 667 ] simplifiying candidate # 165.289 * [simplify]: Simplifying (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 165.289 * * [simplify]: iters left: 6 (17 enodes) 165.293 * * [simplify]: iters left: 5 (68 enodes) 165.305 * * [simplify]: iters left: 4 (107 enodes) 165.324 * * [simplify]: iters left: 3 (159 enodes) 165.358 * * [simplify]: iters left: 2 (256 enodes) 165.435 * * [simplify]: Extracting #0: cost 1 inf + 0 165.435 * * [simplify]: Extracting #1: cost 7 inf + 0 165.436 * * [simplify]: Extracting #2: cost 14 inf + 0 165.436 * * [simplify]: Extracting #3: cost 44 inf + 0 165.436 * * [simplify]: Extracting #4: cost 87 inf + 0 165.437 * * [simplify]: Extracting #5: cost 142 inf + 3 165.438 * * [simplify]: Extracting #6: cost 137 inf + 1336 165.442 * * [simplify]: Extracting #7: cost 82 inf + 14945 165.452 * * [simplify]: Extracting #8: cost 25 inf + 43401 165.468 * * [simplify]: Extracting #9: cost 2 inf + 60596 165.484 * * [simplify]: Extracting #10: cost 0 inf + 61785 165.499 * [simplify]: Simplified to (/ (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 165.499 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 165.500 * [simplify]: Simplifying (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 165.500 * * [simplify]: iters left: 6 (16 enodes) 165.504 * * [simplify]: iters left: 5 (63 enodes) 165.515 * * [simplify]: iters left: 4 (98 enodes) 165.531 * * [simplify]: iters left: 3 (142 enodes) 165.570 * * [simplify]: iters left: 2 (238 enodes) 165.635 * * [simplify]: iters left: 1 (482 enodes) 165.880 * * [simplify]: Extracting #0: cost 1 inf + 0 165.880 * * [simplify]: Extracting #1: cost 4 inf + 0 165.880 * * [simplify]: Extracting #2: cost 8 inf + 0 165.880 * * [simplify]: Extracting #3: cost 57 inf + 0 165.881 * * [simplify]: Extracting #4: cost 157 inf + 0 165.882 * * [simplify]: Extracting #5: cost 226 inf + 4 165.885 * * [simplify]: Extracting #6: cost 214 inf + 5202 165.904 * * [simplify]: Extracting #7: cost 72 inf + 78039 165.939 * * [simplify]: Extracting #8: cost 0 inf + 129820 165.964 * * [simplify]: Extracting #9: cost 0 inf + 128085 165.982 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 165.982 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 165.982 * * * * [progress]: [ 160 / 667 ] simplifiying candidate # 165.982 * [simplify]: Simplifying (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 1) 165.982 * * [simplify]: iters left: 6 (16 enodes) 165.987 * * [simplify]: iters left: 5 (63 enodes) 166.001 * * [simplify]: iters left: 4 (106 enodes) 166.030 * * [simplify]: iters left: 3 (151 enodes) 166.077 * * [simplify]: iters left: 2 (247 enodes) 166.144 * * [simplify]: iters left: 1 (497 enodes) 166.381 * * [simplify]: Extracting #0: cost 1 inf + 0 166.381 * * [simplify]: Extracting #1: cost 5 inf + 0 166.381 * * [simplify]: Extracting #2: cost 7 inf + 1 166.381 * * [simplify]: Extracting #3: cost 50 inf + 1 166.382 * * [simplify]: Extracting #4: cost 150 inf + 1 166.384 * * [simplify]: Extracting #5: cost 232 inf + 4 166.386 * * [simplify]: Extracting #6: cost 232 inf + 1842 166.393 * * [simplify]: Extracting #7: cost 159 inf + 18002 166.412 * * [simplify]: Extracting #8: cost 64 inf + 72514 166.445 * * [simplify]: Extracting #9: cost 7 inf + 124596 166.464 * * [simplify]: Extracting #10: cost 0 inf + 129413 166.487 * [simplify]: Simplified to (* (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 166.487 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 166.487 * [simplify]: Simplifying (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 166.488 * * [simplify]: iters left: 6 (15 enodes) 166.492 * * [simplify]: iters left: 5 (60 enodes) 166.502 * * [simplify]: iters left: 4 (95 enodes) 166.519 * * [simplify]: iters left: 3 (144 enodes) 166.554 * * [simplify]: iters left: 2 (241 enodes) 167.023 * * [simplify]: iters left: 1 (479 enodes) 167.271 * * [simplify]: Extracting #0: cost 1 inf + 0 167.272 * * [simplify]: Extracting #1: cost 4 inf + 0 167.272 * * [simplify]: Extracting #2: cost 8 inf + 0 167.272 * * [simplify]: Extracting #3: cost 57 inf + 0 167.273 * * [simplify]: Extracting #4: cost 154 inf + 1 167.274 * * [simplify]: Extracting #5: cost 222 inf + 248 167.277 * * [simplify]: Extracting #6: cost 212 inf + 3324 167.284 * * [simplify]: Extracting #7: cost 151 inf + 18049 167.311 * * [simplify]: Extracting #8: cost 45 inf + 92033 167.352 * * [simplify]: Extracting #9: cost 0 inf + 131412 167.398 * * [simplify]: Extracting #10: cost 0 inf + 130430 167.441 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 167.441 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 1) (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 167.441 * * * * [progress]: [ 161 / 667 ] simplifiying candidate # 167.442 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 167.442 * * [simplify]: iters left: 6 (17 enodes) 167.450 * * [simplify]: iters left: 5 (68 enodes) 167.474 * * [simplify]: iters left: 4 (105 enodes) 167.506 * * [simplify]: iters left: 3 (154 enodes) 167.547 * * [simplify]: iters left: 2 (251 enodes) 167.624 * * [simplify]: iters left: 1 (494 enodes) 167.863 * * [simplify]: Extracting #0: cost 1 inf + 0 167.863 * * [simplify]: Extracting #1: cost 6 inf + 0 167.864 * * [simplify]: Extracting #2: cost 12 inf + 0 167.864 * * [simplify]: Extracting #3: cost 58 inf + 0 167.865 * * [simplify]: Extracting #4: cost 161 inf + 0 167.866 * * [simplify]: Extracting #5: cost 242 inf + 4 167.869 * * [simplify]: Extracting #6: cost 243 inf + 1372 167.876 * * [simplify]: Extracting #7: cost 159 inf + 18758 167.891 * * [simplify]: Extracting #8: cost 36 inf + 106430 167.910 * * [simplify]: Extracting #9: cost 0 inf + 136716 167.933 * * [simplify]: Extracting #10: cost 0 inf + 136293 167.960 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 167.960 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 167.961 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 167.961 * * [simplify]: iters left: 6 (16 enodes) 167.968 * * [simplify]: iters left: 5 (63 enodes) 167.979 * * [simplify]: iters left: 4 (98 enodes) 167.995 * * [simplify]: iters left: 3 (142 enodes) 168.020 * * [simplify]: iters left: 2 (238 enodes) 168.085 * * [simplify]: iters left: 1 (482 enodes) 168.265 * * [simplify]: Extracting #0: cost 1 inf + 0 168.265 * * [simplify]: Extracting #1: cost 4 inf + 0 168.265 * * [simplify]: Extracting #2: cost 8 inf + 0 168.265 * * [simplify]: Extracting #3: cost 57 inf + 0 168.265 * * [simplify]: Extracting #4: cost 157 inf + 0 168.266 * * [simplify]: Extracting #5: cost 226 inf + 4 168.268 * * [simplify]: Extracting #6: cost 214 inf + 5242 168.279 * * [simplify]: Extracting #7: cost 72 inf + 78039 168.300 * * [simplify]: Extracting #8: cost 0 inf + 129820 168.326 * * [simplify]: Extracting #9: cost 0 inf + 128085 168.348 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 168.348 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 168.348 * * * * [progress]: [ 162 / 667 ] simplifiying candidate # 168.348 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 168.349 * * [simplify]: iters left: 6 (18 enodes) 168.354 * * [simplify]: iters left: 5 (70 enodes) 168.365 * * [simplify]: iters left: 4 (101 enodes) 168.395 * * [simplify]: iters left: 3 (150 enodes) 168.449 * * [simplify]: iters left: 2 (267 enodes) 168.539 * * [simplify]: Extracting #0: cost 1 inf + 0 168.539 * * [simplify]: Extracting #1: cost 4 inf + 0 168.539 * * [simplify]: Extracting #2: cost 9 inf + 0 168.539 * * [simplify]: Extracting #3: cost 41 inf + 0 168.539 * * [simplify]: Extracting #4: cost 85 inf + 0 168.539 * * [simplify]: Extracting #5: cost 140 inf + 3 168.540 * * [simplify]: Extracting #6: cost 130 inf + 1903 168.542 * * [simplify]: Extracting #7: cost 74 inf + 15260 168.547 * * [simplify]: Extracting #8: cost 14 inf + 47236 168.556 * * [simplify]: Extracting #9: cost 0 inf + 57050 168.571 * * [simplify]: Extracting #10: cost 0 inf + 57049 168.578 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 168.578 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 168.578 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 168.579 * * [simplify]: iters left: 6 (17 enodes) 168.583 * * [simplify]: iters left: 5 (66 enodes) 168.595 * * [simplify]: iters left: 4 (101 enodes) 168.625 * * [simplify]: iters left: 3 (145 enodes) 168.659 * * [simplify]: iters left: 2 (241 enodes) 168.717 * * [simplify]: iters left: 1 (486 enodes) 168.928 * * [simplify]: Extracting #0: cost 1 inf + 0 168.928 * * [simplify]: Extracting #1: cost 4 inf + 0 168.928 * * [simplify]: Extracting #2: cost 8 inf + 0 168.928 * * [simplify]: Extracting #3: cost 60 inf + 0 168.929 * * [simplify]: Extracting #4: cost 171 inf + 0 168.930 * * [simplify]: Extracting #5: cost 242 inf + 4 168.932 * * [simplify]: Extracting #6: cost 221 inf + 9552 168.949 * * [simplify]: Extracting #7: cost 59 inf + 107333 168.987 * * [simplify]: Extracting #8: cost 0 inf + 149114 169.032 * * [simplify]: Extracting #9: cost 0 inf + 148714 169.053 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 169.053 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 169.053 * * * * [progress]: [ 163 / 667 ] simplifiying candidate # 169.053 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 169.053 * * [simplify]: iters left: 6 (19 enodes) 169.059 * * [simplify]: iters left: 5 (73 enodes) 169.070 * * [simplify]: iters left: 4 (104 enodes) 169.087 * * [simplify]: iters left: 3 (153 enodes) 169.136 * * [simplify]: iters left: 2 (267 enodes) 169.231 * * [simplify]: Extracting #0: cost 1 inf + 0 169.231 * * [simplify]: Extracting #1: cost 4 inf + 0 169.231 * * [simplify]: Extracting #2: cost 8 inf + 0 169.231 * * [simplify]: Extracting #3: cost 40 inf + 0 169.231 * * [simplify]: Extracting #4: cost 85 inf + 0 169.232 * * [simplify]: Extracting #5: cost 140 inf + 326 169.234 * * [simplify]: Extracting #6: cost 116 inf + 4877 169.243 * * [simplify]: Extracting #7: cost 37 inf + 39557 169.254 * * [simplify]: Extracting #8: cost 1 inf + 59254 169.264 * * [simplify]: Extracting #9: cost 0 inf + 58849 169.272 * * [simplify]: Extracting #10: cost 0 inf + 58597 169.282 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) 169.282 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 169.282 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 169.282 * * [simplify]: iters left: 6 (18 enodes) 169.292 * * [simplify]: iters left: 5 (69 enodes) 169.314 * * [simplify]: iters left: 4 (104 enodes) 169.346 * * [simplify]: iters left: 3 (152 enodes) 169.399 * * [simplify]: iters left: 2 (249 enodes) 169.455 * * [simplify]: iters left: 1 (493 enodes) 169.709 * * [simplify]: Extracting #0: cost 1 inf + 0 169.710 * * [simplify]: Extracting #1: cost 4 inf + 0 169.710 * * [simplify]: Extracting #2: cost 8 inf + 0 169.710 * * [simplify]: Extracting #3: cost 55 inf + 0 169.711 * * [simplify]: Extracting #4: cost 162 inf + 0 169.712 * * [simplify]: Extracting #5: cost 234 inf + 4 169.715 * * [simplify]: Extracting #6: cost 231 inf + 2078 169.721 * * [simplify]: Extracting #7: cost 159 inf + 15958 169.745 * * [simplify]: Extracting #8: cost 46 inf + 94935 169.772 * * [simplify]: Extracting #9: cost 3 inf + 135723 169.791 * * [simplify]: Extracting #10: cost 0 inf + 138006 169.812 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 169.812 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 169.813 * * * * [progress]: [ 164 / 667 ] simplifiying candidate # 169.813 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 169.813 * * [simplify]: iters left: 6 (16 enodes) 169.818 * * [simplify]: iters left: 5 (63 enodes) 169.829 * * [simplify]: iters left: 4 (98 enodes) 169.850 * * [simplify]: iters left: 3 (142 enodes) 169.896 * * [simplify]: iters left: 2 (238 enodes) 169.990 * * [simplify]: iters left: 1 (482 enodes) 170.180 * * [simplify]: Extracting #0: cost 1 inf + 0 170.180 * * [simplify]: Extracting #1: cost 4 inf + 0 170.180 * * [simplify]: Extracting #2: cost 8 inf + 0 170.180 * * [simplify]: Extracting #3: cost 57 inf + 0 170.180 * * [simplify]: Extracting #4: cost 157 inf + 0 170.181 * * [simplify]: Extracting #5: cost 226 inf + 4 170.183 * * [simplify]: Extracting #6: cost 214 inf + 5202 170.194 * * [simplify]: Extracting #7: cost 72 inf + 77919 170.228 * * [simplify]: Extracting #8: cost 0 inf + 129660 170.250 * * [simplify]: Extracting #9: cost 0 inf + 127925 170.278 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 170.279 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 170.279 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 170.279 * * [simplify]: iters left: 6 (16 enodes) 170.288 * * [simplify]: iters left: 5 (63 enodes) 170.304 * * [simplify]: iters left: 4 (98 enodes) 170.320 * * [simplify]: iters left: 3 (142 enodes) 170.366 * * [simplify]: iters left: 2 (238 enodes) 170.427 * * [simplify]: iters left: 1 (482 enodes) 170.649 * * [simplify]: Extracting #0: cost 1 inf + 0 170.649 * * [simplify]: Extracting #1: cost 4 inf + 0 170.650 * * [simplify]: Extracting #2: cost 8 inf + 0 170.650 * * [simplify]: Extracting #3: cost 57 inf + 0 170.651 * * [simplify]: Extracting #4: cost 157 inf + 0 170.652 * * [simplify]: Extracting #5: cost 226 inf + 4 170.655 * * [simplify]: Extracting #6: cost 214 inf + 5202 170.674 * * [simplify]: Extracting #7: cost 72 inf + 77919 170.709 * * [simplify]: Extracting #8: cost 0 inf + 129660 170.745 * * [simplify]: Extracting #9: cost 0 inf + 127925 170.767 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 170.767 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 170.767 * * * * [progress]: [ 165 / 667 ] simplifiying candidate # 170.768 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt 1))) 170.768 * * [simplify]: iters left: 6 (17 enodes) 170.774 * * [simplify]: iters left: 5 (66 enodes) 170.788 * * [simplify]: iters left: 4 (101 enodes) 170.815 * * [simplify]: iters left: 3 (147 enodes) 170.860 * * [simplify]: iters left: 2 (243 enodes) 170.955 * * [simplify]: iters left: 1 (497 enodes) 171.198 * * [simplify]: Extracting #0: cost 1 inf + 0 171.198 * * [simplify]: Extracting #1: cost 4 inf + 0 171.198 * * [simplify]: Extracting #2: cost 43 inf + 1 171.198 * * [simplify]: Extracting #3: cost 142 inf + 1 171.199 * * [simplify]: Extracting #4: cost 228 inf + 4 171.201 * * [simplify]: Extracting #5: cost 218 inf + 2540 171.204 * * [simplify]: Extracting #6: cost 141 inf + 20767 171.222 * * [simplify]: Extracting #7: cost 40 inf + 92746 171.260 * * [simplify]: Extracting #8: cost 0 inf + 122638 171.296 * * [simplify]: Extracting #9: cost 0 inf + 122065 171.316 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 171.316 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 171.316 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 171.316 * * [simplify]: iters left: 6 (15 enodes) 171.320 * * [simplify]: iters left: 5 (60 enodes) 171.338 * * [simplify]: iters left: 4 (95 enodes) 171.364 * * [simplify]: iters left: 3 (144 enodes) 171.390 * * [simplify]: iters left: 2 (241 enodes) 171.469 * * [simplify]: iters left: 1 (479 enodes) 171.656 * * [simplify]: Extracting #0: cost 1 inf + 0 171.656 * * [simplify]: Extracting #1: cost 4 inf + 0 171.656 * * [simplify]: Extracting #2: cost 8 inf + 0 171.657 * * [simplify]: Extracting #3: cost 57 inf + 0 171.657 * * [simplify]: Extracting #4: cost 154 inf + 1 171.659 * * [simplify]: Extracting #5: cost 222 inf + 248 171.662 * * [simplify]: Extracting #6: cost 212 inf + 3324 171.668 * * [simplify]: Extracting #7: cost 151 inf + 17929 171.695 * * [simplify]: Extracting #8: cost 45 inf + 91873 171.737 * * [simplify]: Extracting #9: cost 0 inf + 131252 171.768 * * [simplify]: Extracting #10: cost 0 inf + 130270 171.794 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 171.794 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 171.794 * * * * [progress]: [ 166 / 667 ] simplifiying candidate # 171.794 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 171.794 * * [simplify]: iters left: 6 (16 enodes) 171.803 * * [simplify]: iters left: 5 (63 enodes) 171.820 * * [simplify]: iters left: 4 (98 enodes) 171.836 * * [simplify]: iters left: 3 (142 enodes) 171.878 * * [simplify]: iters left: 2 (238 enodes) 171.943 * * [simplify]: iters left: 1 (482 enodes) 172.161 * * [simplify]: Extracting #0: cost 1 inf + 0 172.161 * * [simplify]: Extracting #1: cost 4 inf + 0 172.161 * * [simplify]: Extracting #2: cost 8 inf + 0 172.161 * * [simplify]: Extracting #3: cost 57 inf + 0 172.161 * * [simplify]: Extracting #4: cost 157 inf + 0 172.162 * * [simplify]: Extracting #5: cost 226 inf + 4 172.170 * * [simplify]: Extracting #6: cost 214 inf + 5202 172.189 * * [simplify]: Extracting #7: cost 72 inf + 77919 172.212 * * [simplify]: Extracting #8: cost 0 inf + 129660 172.239 * * [simplify]: Extracting #9: cost 0 inf + 127925 172.275 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 172.275 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 172.276 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 172.276 * * [simplify]: iters left: 6 (16 enodes) 172.284 * * [simplify]: iters left: 5 (63 enodes) 172.305 * * [simplify]: iters left: 4 (98 enodes) 172.335 * * [simplify]: iters left: 3 (142 enodes) 172.375 * * [simplify]: iters left: 2 (238 enodes) 172.427 * * [simplify]: iters left: 1 (482 enodes) 172.630 * * [simplify]: Extracting #0: cost 1 inf + 0 172.630 * * [simplify]: Extracting #1: cost 4 inf + 0 172.630 * * [simplify]: Extracting #2: cost 8 inf + 0 172.630 * * [simplify]: Extracting #3: cost 57 inf + 0 172.631 * * [simplify]: Extracting #4: cost 157 inf + 0 172.633 * * [simplify]: Extracting #5: cost 226 inf + 4 172.636 * * [simplify]: Extracting #6: cost 214 inf + 5202 172.655 * * [simplify]: Extracting #7: cost 72 inf + 77919 172.690 * * [simplify]: Extracting #8: cost 0 inf + 129660 172.726 * * [simplify]: Extracting #9: cost 0 inf + 127925 172.766 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 172.766 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 172.766 * * * * [progress]: [ 167 / 667 ] simplifiying candidate # 172.767 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt 1)) 172.767 * * [simplify]: iters left: 6 (16 enodes) 172.776 * * [simplify]: iters left: 5 (63 enodes) 172.796 * * [simplify]: iters left: 4 (98 enodes) 172.823 * * [simplify]: iters left: 3 (144 enodes) 172.848 * * [simplify]: iters left: 2 (240 enodes) 172.915 * * [simplify]: iters left: 1 (483 enodes) 173.155 * * [simplify]: Extracting #0: cost 1 inf + 0 173.155 * * [simplify]: Extracting #1: cost 4 inf + 0 173.155 * * [simplify]: Extracting #2: cost 48 inf + 1 173.156 * * [simplify]: Extracting #3: cost 148 inf + 1 173.157 * * [simplify]: Extracting #4: cost 218 inf + 4 173.165 * * [simplify]: Extracting #5: cost 209 inf + 6391 173.176 * * [simplify]: Extracting #6: cost 121 inf + 37072 173.208 * * [simplify]: Extracting #7: cost 18 inf + 109771 173.245 * * [simplify]: Extracting #8: cost 0 inf + 126780 173.284 * * [simplify]: Extracting #9: cost 0 inf + 126622 173.306 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 173.306 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 173.307 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 173.307 * * [simplify]: iters left: 6 (15 enodes) 173.311 * * [simplify]: iters left: 5 (60 enodes) 173.327 * * [simplify]: iters left: 4 (95 enodes) 173.357 * * [simplify]: iters left: 3 (144 enodes) 173.404 * * [simplify]: iters left: 2 (241 enodes) 173.457 * * [simplify]: iters left: 1 (479 enodes) 173.640 * * [simplify]: Extracting #0: cost 1 inf + 0 173.640 * * [simplify]: Extracting #1: cost 4 inf + 0 173.640 * * [simplify]: Extracting #2: cost 8 inf + 0 173.640 * * [simplify]: Extracting #3: cost 57 inf + 0 173.641 * * [simplify]: Extracting #4: cost 154 inf + 1 173.643 * * [simplify]: Extracting #5: cost 222 inf + 248 173.646 * * [simplify]: Extracting #6: cost 212 inf + 3324 173.652 * * [simplify]: Extracting #7: cost 151 inf + 17929 173.679 * * [simplify]: Extracting #8: cost 45 inf + 91873 173.724 * * [simplify]: Extracting #9: cost 0 inf + 131252 173.745 * * [simplify]: Extracting #10: cost 0 inf + 130270 173.773 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 173.773 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 173.774 * * * * [progress]: [ 168 / 667 ] simplifiying candidate # 173.774 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 173.774 * * [simplify]: iters left: 6 (16 enodes) 173.782 * * [simplify]: iters left: 5 (63 enodes) 173.795 * * [simplify]: iters left: 4 (98 enodes) 173.812 * * [simplify]: iters left: 3 (142 enodes) 173.855 * * [simplify]: iters left: 2 (238 enodes) 173.938 * * [simplify]: iters left: 1 (482 enodes) 174.132 * * [simplify]: Extracting #0: cost 1 inf + 0 174.132 * * [simplify]: Extracting #1: cost 4 inf + 0 174.132 * * [simplify]: Extracting #2: cost 8 inf + 0 174.132 * * [simplify]: Extracting #3: cost 57 inf + 0 174.133 * * [simplify]: Extracting #4: cost 157 inf + 0 174.134 * * [simplify]: Extracting #5: cost 226 inf + 4 174.137 * * [simplify]: Extracting #6: cost 214 inf + 5202 174.156 * * [simplify]: Extracting #7: cost 72 inf + 77919 174.192 * * [simplify]: Extracting #8: cost 0 inf + 129660 174.219 * * [simplify]: Extracting #9: cost 0 inf + 127925 174.241 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 174.242 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 174.242 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 174.242 * * [simplify]: iters left: 6 (16 enodes) 174.251 * * [simplify]: iters left: 5 (63 enodes) 174.264 * * [simplify]: iters left: 4 (98 enodes) 174.279 * * [simplify]: iters left: 3 (142 enodes) 174.312 * * [simplify]: iters left: 2 (238 enodes) 174.363 * * [simplify]: iters left: 1 (482 enodes) 174.563 * * [simplify]: Extracting #0: cost 1 inf + 0 174.563 * * [simplify]: Extracting #1: cost 4 inf + 0 174.563 * * [simplify]: Extracting #2: cost 8 inf + 0 174.563 * * [simplify]: Extracting #3: cost 57 inf + 0 174.564 * * [simplify]: Extracting #4: cost 157 inf + 0 174.566 * * [simplify]: Extracting #5: cost 226 inf + 4 174.569 * * [simplify]: Extracting #6: cost 214 inf + 5202 174.583 * * [simplify]: Extracting #7: cost 72 inf + 77919 174.601 * * [simplify]: Extracting #8: cost 0 inf + 129660 174.637 * * [simplify]: Extracting #9: cost 0 inf + 127925 174.662 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 174.662 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 174.662 * * * * [progress]: [ 169 / 667 ] simplifiying candidate # 174.662 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 1) 174.662 * * [simplify]: iters left: 6 (15 enodes) 174.667 * * [simplify]: iters left: 5 (58 enodes) 174.682 * * [simplify]: iters left: 4 (93 enodes) 174.710 * * [simplify]: iters left: 3 (139 enodes) 174.736 * * [simplify]: iters left: 2 (235 enodes) 174.798 * * [simplify]: iters left: 1 (474 enodes) 175.031 * * [simplify]: Extracting #0: cost 1 inf + 0 175.031 * * [simplify]: Extracting #1: cost 4 inf + 0 175.031 * * [simplify]: Extracting #2: cost 50 inf + 1 175.032 * * [simplify]: Extracting #3: cost 162 inf + 1 175.034 * * [simplify]: Extracting #4: cost 232 inf + 4 175.036 * * [simplify]: Extracting #5: cost 223 inf + 3368 175.044 * * [simplify]: Extracting #6: cost 143 inf + 25159 175.069 * * [simplify]: Extracting #7: cost 41 inf + 106031 175.090 * * [simplify]: Extracting #8: cost 0 inf + 144634 175.119 * * [simplify]: Extracting #9: cost 0 inf + 140337 175.149 * * [simplify]: Extracting #10: cost 0 inf + 138894 175.182 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 175.182 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 175.182 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 175.182 * * [simplify]: iters left: 6 (15 enodes) 175.187 * * [simplify]: iters left: 5 (60 enodes) 175.197 * * [simplify]: iters left: 4 (95 enodes) 175.214 * * [simplify]: iters left: 3 (144 enodes) 175.257 * * [simplify]: iters left: 2 (241 enodes) 175.317 * * [simplify]: iters left: 1 (479 enodes) 175.521 * * [simplify]: Extracting #0: cost 1 inf + 0 175.521 * * [simplify]: Extracting #1: cost 4 inf + 0 175.522 * * [simplify]: Extracting #2: cost 8 inf + 0 175.522 * * [simplify]: Extracting #3: cost 57 inf + 0 175.522 * * [simplify]: Extracting #4: cost 154 inf + 1 175.523 * * [simplify]: Extracting #5: cost 222 inf + 248 175.524 * * [simplify]: Extracting #6: cost 212 inf + 3324 175.528 * * [simplify]: Extracting #7: cost 151 inf + 17929 175.541 * * [simplify]: Extracting #8: cost 45 inf + 91873 175.562 * * [simplify]: Extracting #9: cost 0 inf + 131252 175.587 * * [simplify]: Extracting #10: cost 0 inf + 130270 175.610 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 175.610 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 1) (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 175.610 * * * * [progress]: [ 170 / 667 ] simplifiying candidate # 175.611 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 175.611 * * [simplify]: iters left: 6 (13 enodes) 175.618 * * [simplify]: iters left: 5 (56 enodes) 175.637 * * [simplify]: iters left: 4 (104 enodes) 175.655 * * [simplify]: iters left: 3 (200 enodes) 175.733 * * [simplify]: Extracting #0: cost 1 inf + 0 175.733 * * [simplify]: Extracting #1: cost 46 inf + 0 175.734 * * [simplify]: Extracting #2: cost 128 inf + 0 175.735 * * [simplify]: Extracting #3: cost 162 inf + 3 175.736 * * [simplify]: Extracting #4: cost 152 inf + 1049 175.739 * * [simplify]: Extracting #5: cost 116 inf + 7759 175.748 * * [simplify]: Extracting #6: cost 39 inf + 47310 175.766 * * [simplify]: Extracting #7: cost 0 inf + 73602 175.785 * * [simplify]: Extracting #8: cost 0 inf + 73483 175.804 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 175.804 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 175.805 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 175.805 * * [simplify]: iters left: 6 (13 enodes) 175.812 * * [simplify]: iters left: 5 (53 enodes) 175.829 * * [simplify]: iters left: 4 (86 enodes) 175.842 * * [simplify]: iters left: 3 (138 enodes) 175.883 * * [simplify]: iters left: 2 (273 enodes) 175.995 * * [simplify]: Extracting #0: cost 1 inf + 0 175.995 * * [simplify]: Extracting #1: cost 57 inf + 0 175.995 * * [simplify]: Extracting #2: cost 155 inf + 0 175.996 * * [simplify]: Extracting #3: cost 220 inf + 2 175.997 * * [simplify]: Extracting #4: cost 229 inf + 53 175.998 * * [simplify]: Extracting #5: cost 198 inf + 5670 176.001 * * [simplify]: Extracting #6: cost 141 inf + 20858 176.009 * * [simplify]: Extracting #7: cost 48 inf + 81611 176.036 * * [simplify]: Extracting #8: cost 1 inf + 120250 176.057 * * [simplify]: Extracting #9: cost 0 inf + 121114 176.075 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 176.075 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 176.075 * * * * [progress]: [ 171 / 667 ] simplifiying candidate # 176.075 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 176.075 * * [simplify]: iters left: 6 (16 enodes) 176.084 * * [simplify]: iters left: 5 (64 enodes) 176.104 * * [simplify]: iters left: 4 (106 enodes) 176.123 * * [simplify]: iters left: 3 (209 enodes) 176.197 * * [simplify]: Extracting #0: cost 1 inf + 0 176.197 * * [simplify]: Extracting #1: cost 56 inf + 0 176.198 * * [simplify]: Extracting #2: cost 141 inf + 0 176.199 * * [simplify]: Extracting #3: cost 182 inf + 1 176.200 * * [simplify]: Extracting #4: cost 187 inf + 9 176.203 * * [simplify]: Extracting #5: cost 150 inf + 6051 176.213 * * [simplify]: Extracting #6: cost 69 inf + 45526 176.234 * * [simplify]: Extracting #7: cost 4 inf + 89986 176.258 * * [simplify]: Extracting #8: cost 0 inf + 92581 176.282 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 176.283 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 176.283 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 176.283 * * [simplify]: iters left: 6 (15 enodes) 176.291 * * [simplify]: iters left: 5 (59 enodes) 176.301 * * [simplify]: iters left: 4 (96 enodes) 176.320 * * [simplify]: iters left: 3 (164 enodes) 176.374 * * [simplify]: iters left: 2 (347 enodes) 176.494 * * [simplify]: Extracting #0: cost 1 inf + 0 176.494 * * [simplify]: Extracting #1: cost 88 inf + 0 176.496 * * [simplify]: Extracting #2: cost 243 inf + 0 176.498 * * [simplify]: Extracting #3: cost 312 inf + 2 176.500 * * [simplify]: Extracting #4: cost 324 inf + 53 176.503 * * [simplify]: Extracting #5: cost 305 inf + 1818 176.516 * * [simplify]: Extracting #6: cost 205 inf + 39479 176.535 * * [simplify]: Extracting #7: cost 26 inf + 174185 176.575 * * [simplify]: Extracting #8: cost 0 inf + 193568 176.624 * * [simplify]: Extracting #9: cost 0 inf + 192833 176.675 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 176.675 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 176.676 * * * * [progress]: [ 172 / 667 ] simplifiying candidate # 176.676 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 176.676 * * [simplify]: iters left: 6 (17 enodes) 176.685 * * [simplify]: iters left: 5 (67 enodes) 176.708 * * [simplify]: iters left: 4 (109 enodes) 176.745 * * [simplify]: iters left: 3 (215 enodes) 176.825 * * [simplify]: Extracting #0: cost 1 inf + 0 176.825 * * [simplify]: Extracting #1: cost 58 inf + 0 176.826 * * [simplify]: Extracting #2: cost 141 inf + 0 176.827 * * [simplify]: Extracting #3: cost 183 inf + 1 176.829 * * [simplify]: Extracting #4: cost 190 inf + 9 176.831 * * [simplify]: Extracting #5: cost 151 inf + 6492 176.844 * * [simplify]: Extracting #6: cost 50 inf + 57328 176.868 * * [simplify]: Extracting #7: cost 2 inf + 91955 176.894 * * [simplify]: Extracting #8: cost 0 inf + 93090 176.918 * [simplify]: Simplified to (/ (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt k)))) 176.918 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 176.919 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 176.919 * * [simplify]: iters left: 6 (16 enodes) 176.928 * * [simplify]: iters left: 5 (62 enodes) 176.952 * * [simplify]: iters left: 4 (99 enodes) 176.983 * * [simplify]: iters left: 3 (163 enodes) 177.016 * * [simplify]: iters left: 2 (341 enodes) 177.143 * * [simplify]: Extracting #0: cost 1 inf + 0 177.143 * * [simplify]: Extracting #1: cost 89 inf + 0 177.144 * * [simplify]: Extracting #2: cost 240 inf + 0 177.145 * * [simplify]: Extracting #3: cost 310 inf + 2 177.146 * * [simplify]: Extracting #4: cost 320 inf + 53 177.147 * * [simplify]: Extracting #5: cost 297 inf + 2439 177.153 * * [simplify]: Extracting #6: cost 181 inf + 57849 177.173 * * [simplify]: Extracting #7: cost 25 inf + 178644 177.222 * * [simplify]: Extracting #8: cost 0 inf + 199252 177.262 * * [simplify]: Extracting #9: cost 0 inf + 198427 177.296 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (cbrt (sqrt (sqrt k))))) 177.296 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (cbrt (sqrt (sqrt k))))))) 177.296 * * * * [progress]: [ 173 / 667 ] simplifiying candidate # 177.296 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 177.296 * * [simplify]: iters left: 6 (14 enodes) 177.300 * * [simplify]: iters left: 5 (57 enodes) 177.311 * * [simplify]: iters left: 4 (103 enodes) 177.336 * * [simplify]: iters left: 3 (204 enodes) 177.399 * * [simplify]: Extracting #0: cost 1 inf + 0 177.399 * * [simplify]: Extracting #1: cost 57 inf + 0 177.400 * * [simplify]: Extracting #2: cost 140 inf + 0 177.400 * * [simplify]: Extracting #3: cost 179 inf + 1 177.401 * * [simplify]: Extracting #4: cost 181 inf + 9 177.403 * * [simplify]: Extracting #5: cost 135 inf + 14168 177.411 * * [simplify]: Extracting #6: cost 28 inf + 66479 177.422 * * [simplify]: Extracting #7: cost 0 inf + 85040 177.437 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 177.437 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 177.438 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 177.438 * * [simplify]: iters left: 6 (14 enodes) 177.449 * * [simplify]: iters left: 5 (56 enodes) 177.466 * * [simplify]: iters left: 4 (93 enodes) 177.482 * * [simplify]: iters left: 3 (157 enodes) 177.532 * * [simplify]: iters left: 2 (335 enodes) 177.696 * * [simplify]: Extracting #0: cost 1 inf + 0 177.696 * * [simplify]: Extracting #1: cost 90 inf + 0 177.697 * * [simplify]: Extracting #2: cost 242 inf + 0 177.698 * * [simplify]: Extracting #3: cost 311 inf + 2 177.699 * * [simplify]: Extracting #4: cost 320 inf + 53 177.701 * * [simplify]: Extracting #5: cost 297 inf + 2836 177.704 * * [simplify]: Extracting #6: cost 229 inf + 21362 177.731 * * [simplify]: Extracting #7: cost 51 inf + 152540 177.755 * * [simplify]: Extracting #8: cost 1 inf + 194302 177.791 * * [simplify]: Extracting #9: cost 0 inf + 193247 177.829 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 177.830 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 177.830 * * * * [progress]: [ 174 / 667 ] simplifiying candidate # 177.830 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) 177.830 * * [simplify]: iters left: 6 (15 enodes) 177.841 * * [simplify]: iters left: 5 (60 enodes) 177.861 * * [simplify]: iters left: 4 (100 enodes) 177.880 * * [simplify]: iters left: 3 (176 enodes) 177.945 * * [simplify]: iters left: 2 (445 enodes) 178.282 * * [simplify]: Extracting #0: cost 1 inf + 0 178.282 * * [simplify]: Extracting #1: cost 112 inf + 0 178.284 * * [simplify]: Extracting #2: cost 281 inf + 1 178.285 * * [simplify]: Extracting #3: cost 328 inf + 4 178.287 * * [simplify]: Extracting #4: cost 340 inf + 11 178.288 * * [simplify]: Extracting #5: cost 336 inf + 427 178.291 * * [simplify]: Extracting #6: cost 277 inf + 11507 178.318 * * [simplify]: Extracting #7: cost 92 inf + 135885 178.356 * * [simplify]: Extracting #8: cost 1 inf + 206355 178.424 * * [simplify]: Extracting #9: cost 0 inf + 204994 178.463 * * [simplify]: Extracting #10: cost 0 inf + 204790 178.512 * * [simplify]: Extracting #11: cost 0 inf + 204749 178.572 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 178.572 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 178.572 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 178.572 * * [simplify]: iters left: 6 (13 enodes) 178.576 * * [simplify]: iters left: 5 (53 enodes) 178.586 * * [simplify]: iters left: 4 (90 enodes) 178.607 * * [simplify]: iters left: 3 (154 enodes) 178.654 * * [simplify]: iters left: 2 (332 enodes) 178.785 * * [simplify]: Extracting #0: cost 1 inf + 0 178.786 * * [simplify]: Extracting #1: cost 89 inf + 0 178.787 * * [simplify]: Extracting #2: cost 239 inf + 0 178.788 * * [simplify]: Extracting #3: cost 312 inf + 2 178.789 * * [simplify]: Extracting #4: cost 298 inf + 2934 178.792 * * [simplify]: Extracting #5: cost 250 inf + 12566 178.801 * * [simplify]: Extracting #6: cost 118 inf + 92747 178.822 * * [simplify]: Extracting #7: cost 4 inf + 181321 178.847 * * [simplify]: Extracting #8: cost 0 inf + 182198 178.888 * * [simplify]: Extracting #9: cost 0 inf + 182067 178.912 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 178.913 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 178.913 * * * * [progress]: [ 175 / 667 ] simplifiying candidate # 178.913 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 178.913 * * [simplify]: iters left: 6 (14 enodes) 178.920 * * [simplify]: iters left: 5 (57 enodes) 178.937 * * [simplify]: iters left: 4 (103 enodes) 178.973 * * [simplify]: iters left: 3 (204 enodes) 179.047 * * [simplify]: Extracting #0: cost 1 inf + 0 179.047 * * [simplify]: Extracting #1: cost 57 inf + 0 179.048 * * [simplify]: Extracting #2: cost 140 inf + 0 179.048 * * [simplify]: Extracting #3: cost 179 inf + 1 179.049 * * [simplify]: Extracting #4: cost 181 inf + 9 179.050 * * [simplify]: Extracting #5: cost 135 inf + 14168 179.062 * * [simplify]: Extracting #6: cost 28 inf + 66479 179.084 * * [simplify]: Extracting #7: cost 0 inf + 85040 179.098 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 179.098 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 179.098 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 179.099 * * [simplify]: iters left: 6 (14 enodes) 179.103 * * [simplify]: iters left: 5 (56 enodes) 179.113 * * [simplify]: iters left: 4 (93 enodes) 179.134 * * [simplify]: iters left: 3 (157 enodes) 179.170 * * [simplify]: iters left: 2 (335 enodes) 179.311 * * [simplify]: Extracting #0: cost 1 inf + 0 179.312 * * [simplify]: Extracting #1: cost 90 inf + 0 179.312 * * [simplify]: Extracting #2: cost 242 inf + 0 179.313 * * [simplify]: Extracting #3: cost 311 inf + 2 179.315 * * [simplify]: Extracting #4: cost 320 inf + 53 179.316 * * [simplify]: Extracting #5: cost 297 inf + 2836 179.320 * * [simplify]: Extracting #6: cost 229 inf + 21362 179.338 * * [simplify]: Extracting #7: cost 51 inf + 152540 179.374 * * [simplify]: Extracting #8: cost 1 inf + 194302 179.413 * * [simplify]: Extracting #9: cost 0 inf + 193247 179.463 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 179.463 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 179.464 * * * * [progress]: [ 176 / 667 ] simplifiying candidate # 179.464 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 179.464 * * [simplify]: iters left: 6 (14 enodes) 179.473 * * [simplify]: iters left: 5 (57 enodes) 179.488 * * [simplify]: iters left: 4 (97 enodes) 179.504 * * [simplify]: iters left: 3 (175 enodes) 179.558 * * [simplify]: iters left: 2 (444 enodes) 179.888 * * [simplify]: Extracting #0: cost 1 inf + 0 179.889 * * [simplify]: Extracting #1: cost 108 inf + 0 179.890 * * [simplify]: Extracting #2: cost 277 inf + 1 179.891 * * [simplify]: Extracting #3: cost 325 inf + 4 179.893 * * [simplify]: Extracting #4: cost 337 inf + 11 179.895 * * [simplify]: Extracting #5: cost 308 inf + 4830 179.900 * * [simplify]: Extracting #6: cost 212 inf + 40728 179.939 * * [simplify]: Extracting #7: cost 58 inf + 151700 179.996 * * [simplify]: Extracting #8: cost 0 inf + 194810 180.053 * * [simplify]: Extracting #9: cost 0 inf + 193782 180.088 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 180.088 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 180.088 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 180.088 * * [simplify]: iters left: 6 (13 enodes) 180.092 * * [simplify]: iters left: 5 (53 enodes) 180.108 * * [simplify]: iters left: 4 (90 enodes) 180.136 * * [simplify]: iters left: 3 (154 enodes) 180.193 * * [simplify]: iters left: 2 (332 enodes) 180.343 * * [simplify]: Extracting #0: cost 1 inf + 0 180.344 * * [simplify]: Extracting #1: cost 89 inf + 0 180.345 * * [simplify]: Extracting #2: cost 239 inf + 0 180.347 * * [simplify]: Extracting #3: cost 312 inf + 2 180.350 * * [simplify]: Extracting #4: cost 298 inf + 2934 180.355 * * [simplify]: Extracting #5: cost 250 inf + 12566 180.374 * * [simplify]: Extracting #6: cost 118 inf + 92747 180.415 * * [simplify]: Extracting #7: cost 4 inf + 181321 180.455 * * [simplify]: Extracting #8: cost 0 inf + 182198 180.477 * * [simplify]: Extracting #9: cost 0 inf + 182067 180.511 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 180.511 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 180.511 * * * * [progress]: [ 177 / 667 ] simplifiying candidate # 180.511 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 180.512 * * [simplify]: iters left: 6 (14 enodes) 180.520 * * [simplify]: iters left: 5 (57 enodes) 180.539 * * [simplify]: iters left: 4 (103 enodes) 180.577 * * [simplify]: iters left: 3 (204 enodes) 180.637 * * [simplify]: Extracting #0: cost 1 inf + 0 180.637 * * [simplify]: Extracting #1: cost 57 inf + 0 180.638 * * [simplify]: Extracting #2: cost 140 inf + 0 180.638 * * [simplify]: Extracting #3: cost 179 inf + 1 180.639 * * [simplify]: Extracting #4: cost 181 inf + 9 180.641 * * [simplify]: Extracting #5: cost 135 inf + 14168 180.649 * * [simplify]: Extracting #6: cost 28 inf + 66479 180.664 * * [simplify]: Extracting #7: cost 0 inf + 85040 180.679 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 180.680 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 180.680 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 180.680 * * [simplify]: iters left: 6 (14 enodes) 180.688 * * [simplify]: iters left: 5 (56 enodes) 180.707 * * [simplify]: iters left: 4 (93 enodes) 180.737 * * [simplify]: iters left: 3 (157 enodes) 180.795 * * [simplify]: iters left: 2 (335 enodes) 180.947 * * [simplify]: Extracting #0: cost 1 inf + 0 180.948 * * [simplify]: Extracting #1: cost 90 inf + 0 180.949 * * [simplify]: Extracting #2: cost 242 inf + 0 180.951 * * [simplify]: Extracting #3: cost 311 inf + 2 180.954 * * [simplify]: Extracting #4: cost 320 inf + 53 180.957 * * [simplify]: Extracting #5: cost 297 inf + 2836 180.964 * * [simplify]: Extracting #6: cost 229 inf + 21362 180.996 * * [simplify]: Extracting #7: cost 51 inf + 152540 181.044 * * [simplify]: Extracting #8: cost 1 inf + 194302 181.074 * * [simplify]: Extracting #9: cost 0 inf + 193247 181.102 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 181.102 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 181.103 * * * * [progress]: [ 178 / 667 ] simplifiying candidate # 181.103 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 181.103 * * [simplify]: iters left: 6 (13 enodes) 181.107 * * [simplify]: iters left: 5 (52 enodes) 181.117 * * [simplify]: iters left: 4 (94 enodes) 181.144 * * [simplify]: iters left: 3 (187 enodes) 181.203 * * [simplify]: iters left: 2 (487 enodes) 181.611 * * [simplify]: Extracting #0: cost 1 inf + 0 181.611 * * [simplify]: Extracting #1: cost 104 inf + 0 181.613 * * [simplify]: Extracting #2: cost 297 inf + 1 181.617 * * [simplify]: Extracting #3: cost 343 inf + 4 181.620 * * [simplify]: Extracting #4: cost 353 inf + 11 181.624 * * [simplify]: Extracting #5: cost 344 inf + 1069 181.631 * * [simplify]: Extracting #6: cost 277 inf + 17668 181.662 * * [simplify]: Extracting #7: cost 102 inf + 133547 181.726 * * [simplify]: Extracting #8: cost 0 inf + 213057 181.773 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 181.773 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 181.774 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 181.774 * * [simplify]: iters left: 6 (13 enodes) 181.781 * * [simplify]: iters left: 5 (53 enodes) 181.798 * * [simplify]: iters left: 4 (90 enodes) 181.827 * * [simplify]: iters left: 3 (154 enodes) 181.885 * * [simplify]: iters left: 2 (332 enodes) 181.979 * * [simplify]: Extracting #0: cost 1 inf + 0 181.979 * * [simplify]: Extracting #1: cost 89 inf + 0 181.980 * * [simplify]: Extracting #2: cost 239 inf + 0 181.981 * * [simplify]: Extracting #3: cost 312 inf + 2 181.982 * * [simplify]: Extracting #4: cost 298 inf + 2934 181.985 * * [simplify]: Extracting #5: cost 250 inf + 12566 181.995 * * [simplify]: Extracting #6: cost 118 inf + 92747 182.015 * * [simplify]: Extracting #7: cost 4 inf + 181321 182.041 * * [simplify]: Extracting #8: cost 0 inf + 182198 182.064 * * [simplify]: Extracting #9: cost 0 inf + 182067 182.088 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 182.088 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 182.089 * * * * [progress]: [ 179 / 667 ] simplifiying candidate # 182.089 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 182.089 * * [simplify]: iters left: 6 (16 enodes) 182.094 * * [simplify]: iters left: 5 (64 enodes) 182.105 * * [simplify]: iters left: 4 (102 enodes) 182.130 * * [simplify]: iters left: 3 (195 enodes) 182.215 * * [simplify]: Extracting #0: cost 1 inf + 0 182.215 * * [simplify]: Extracting #1: cost 54 inf + 0 182.216 * * [simplify]: Extracting #2: cost 129 inf + 0 182.217 * * [simplify]: Extracting #3: cost 167 inf + 1 182.218 * * [simplify]: Extracting #4: cost 174 inf + 9 182.219 * * [simplify]: Extracting #5: cost 164 inf + 1124 182.222 * * [simplify]: Extracting #6: cost 117 inf + 8699 182.238 * * [simplify]: Extracting #7: cost 39 inf + 53907 182.259 * * [simplify]: Extracting #8: cost 1 inf + 79005 182.281 * * [simplify]: Extracting #9: cost 0 inf + 79991 182.303 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 182.303 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 182.304 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 182.304 * * [simplify]: iters left: 6 (15 enodes) 182.309 * * [simplify]: iters left: 5 (59 enodes) 182.320 * * [simplify]: iters left: 4 (96 enodes) 182.337 * * [simplify]: iters left: 3 (164 enodes) 182.401 * * [simplify]: iters left: 2 (347 enodes) 182.571 * * [simplify]: Extracting #0: cost 1 inf + 0 182.572 * * [simplify]: Extracting #1: cost 88 inf + 0 182.573 * * [simplify]: Extracting #2: cost 243 inf + 0 182.575 * * [simplify]: Extracting #3: cost 312 inf + 2 182.577 * * [simplify]: Extracting #4: cost 324 inf + 53 182.580 * * [simplify]: Extracting #5: cost 305 inf + 1858 182.589 * * [simplify]: Extracting #6: cost 205 inf + 39479 182.608 * * [simplify]: Extracting #7: cost 26 inf + 174185 182.651 * * [simplify]: Extracting #8: cost 0 inf + 193568 182.676 * * [simplify]: Extracting #9: cost 0 inf + 192833 182.719 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 182.719 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 182.719 * * * * [progress]: [ 180 / 667 ] simplifiying candidate # 182.720 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 182.720 * * [simplify]: iters left: 6 (13 enodes) 182.727 * * [simplify]: iters left: 5 (53 enodes) 182.742 * * [simplify]: iters left: 4 (82 enodes) 182.758 * * [simplify]: iters left: 3 (128 enodes) 182.788 * * [simplify]: iters left: 2 (258 enodes) 182.888 * * [simplify]: Extracting #0: cost 1 inf + 0 182.888 * * [simplify]: Extracting #1: cost 63 inf + 0 182.889 * * [simplify]: Extracting #2: cost 155 inf + 0 182.891 * * [simplify]: Extracting #3: cost 215 inf + 3 182.893 * * [simplify]: Extracting #4: cost 198 inf + 3686 182.899 * * [simplify]: Extracting #5: cost 126 inf + 26821 182.916 * * [simplify]: Extracting #6: cost 36 inf + 80475 182.940 * * [simplify]: Extracting #7: cost 2 inf + 104969 182.966 * * [simplify]: Extracting #8: cost 0 inf + 106630 182.995 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 182.995 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 182.996 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 182.996 * * [simplify]: iters left: 6 (13 enodes) 183.003 * * [simplify]: iters left: 5 (53 enodes) 183.020 * * [simplify]: iters left: 4 (82 enodes) 183.045 * * [simplify]: iters left: 3 (129 enodes) 183.090 * * [simplify]: iters left: 2 (245 enodes) 183.201 * * [simplify]: Extracting #0: cost 1 inf + 0 183.201 * * [simplify]: Extracting #1: cost 50 inf + 0 183.202 * * [simplify]: Extracting #2: cost 132 inf + 0 183.203 * * [simplify]: Extracting #3: cost 196 inf + 2 183.205 * * [simplify]: Extracting #4: cost 179 inf + 3064 183.209 * * [simplify]: Extracting #5: cost 129 inf + 13596 183.222 * * [simplify]: Extracting #6: cost 48 inf + 62867 183.233 * * [simplify]: Extracting #7: cost 4 inf + 98966 183.245 * * [simplify]: Extracting #8: cost 0 inf + 100782 183.269 * * [simplify]: Extracting #9: cost 0 inf + 100258 183.293 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 183.293 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 183.293 * * * * [progress]: [ 181 / 667 ] simplifiying candidate # 183.293 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 183.293 * * [simplify]: iters left: 6 (17 enodes) 183.302 * * [simplify]: iters left: 5 (66 enodes) 183.323 * * [simplify]: iters left: 4 (99 enodes) 183.347 * * [simplify]: iters left: 3 (168 enodes) 183.385 * * [simplify]: iters left: 2 (364 enodes) 183.499 * * [simplify]: Extracting #0: cost 1 inf + 0 183.499 * * [simplify]: Extracting #1: cost 85 inf + 0 183.500 * * [simplify]: Extracting #2: cost 236 inf + 0 183.501 * * [simplify]: Extracting #3: cost 310 inf + 3 183.502 * * [simplify]: Extracting #4: cost 322 inf + 11 183.504 * * [simplify]: Extracting #5: cost 289 inf + 7018 183.511 * * [simplify]: Extracting #6: cost 150 inf + 76989 183.535 * * [simplify]: Extracting #7: cost 22 inf + 164717 183.562 * * [simplify]: Extracting #8: cost 0 inf + 181105 183.602 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (fabs (cbrt k)))) 183.602 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 183.603 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 183.603 * * [simplify]: iters left: 6 (16 enodes) 183.609 * * [simplify]: iters left: 5 (62 enodes) 183.620 * * [simplify]: iters left: 4 (99 enodes) 183.638 * * [simplify]: iters left: 3 (163 enodes) 183.702 * * [simplify]: iters left: 2 (341 enodes) 183.833 * * [simplify]: Extracting #0: cost 1 inf + 0 183.833 * * [simplify]: Extracting #1: cost 89 inf + 0 183.834 * * [simplify]: Extracting #2: cost 240 inf + 0 183.835 * * [simplify]: Extracting #3: cost 310 inf + 2 183.836 * * [simplify]: Extracting #4: cost 320 inf + 53 183.837 * * [simplify]: Extracting #5: cost 297 inf + 2519 183.844 * * [simplify]: Extracting #6: cost 181 inf + 57929 183.876 * * [simplify]: Extracting #7: cost 25 inf + 178724 183.915 * * [simplify]: Extracting #8: cost 0 inf + 199332 183.957 * * [simplify]: Extracting #9: cost 0 inf + 198507 183.992 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (cbrt (sqrt k))))) 183.992 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (cbrt (sqrt k))))))) 183.992 * * * * [progress]: [ 182 / 667 ] simplifiying candidate # 183.992 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 183.992 * * [simplify]: iters left: 6 (15 enodes) 184.002 * * [simplify]: iters left: 5 (59 enodes) 184.023 * * [simplify]: iters left: 4 (96 enodes) 184.049 * * [simplify]: iters left: 3 (160 enodes) 184.080 * * [simplify]: iters left: 2 (338 enodes) 184.208 * * [simplify]: Extracting #0: cost 1 inf + 0 184.209 * * [simplify]: Extracting #1: cost 88 inf + 0 184.209 * * [simplify]: Extracting #2: cost 239 inf + 0 184.210 * * [simplify]: Extracting #3: cost 305 inf + 3 184.211 * * [simplify]: Extracting #4: cost 316 inf + 11 184.214 * * [simplify]: Extracting #5: cost 257 inf + 16019 184.239 * * [simplify]: Extracting #6: cost 55 inf + 136585 184.270 * * [simplify]: Extracting #7: cost 0 inf + 175885 184.296 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 184.296 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 184.296 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 184.296 * * [simplify]: iters left: 6 (15 enodes) 184.301 * * [simplify]: iters left: 5 (59 enodes) 184.314 * * [simplify]: iters left: 4 (96 enodes) 184.337 * * [simplify]: iters left: 3 (164 enodes) 184.389 * * [simplify]: iters left: 2 (347 enodes) 184.528 * * [simplify]: Extracting #0: cost 1 inf + 0 184.529 * * [simplify]: Extracting #1: cost 88 inf + 0 184.530 * * [simplify]: Extracting #2: cost 243 inf + 0 184.532 * * [simplify]: Extracting #3: cost 312 inf + 2 184.534 * * [simplify]: Extracting #4: cost 324 inf + 53 184.537 * * [simplify]: Extracting #5: cost 305 inf + 1778 184.546 * * [simplify]: Extracting #6: cost 205 inf + 38759 184.584 * * [simplify]: Extracting #7: cost 26 inf + 169985 184.633 * * [simplify]: Extracting #8: cost 0 inf + 188488 184.685 * * [simplify]: Extracting #9: cost 0 inf + 187753 184.732 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 184.732 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 184.732 * * * * [progress]: [ 183 / 667 ] simplifiying candidate # 184.733 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) 184.733 * * [simplify]: iters left: 6 (15 enodes) 184.743 * * [simplify]: iters left: 5 (59 enodes) 184.756 * * [simplify]: iters left: 4 (91 enodes) 184.771 * * [simplify]: iters left: 3 (150 enodes) 184.806 * * [simplify]: iters left: 2 (322 enodes) 184.995 * * [simplify]: Extracting #0: cost 1 inf + 0 184.995 * * [simplify]: Extracting #1: cost 73 inf + 0 184.996 * * [simplify]: Extracting #2: cost 166 inf + 1 184.998 * * [simplify]: Extracting #3: cost 207 inf + 4 185.000 * * [simplify]: Extracting #4: cost 219 inf + 11 185.003 * * [simplify]: Extracting #5: cost 199 inf + 2467 185.010 * * [simplify]: Extracting #6: cost 129 inf + 25728 185.030 * * [simplify]: Extracting #7: cost 40 inf + 82969 185.062 * * [simplify]: Extracting #8: cost 0 inf + 113494 185.095 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) 185.095 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 185.095 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 185.095 * * [simplify]: iters left: 6 (14 enodes) 185.103 * * [simplify]: iters left: 5 (56 enodes) 185.121 * * [simplify]: iters left: 4 (93 enodes) 185.156 * * [simplify]: iters left: 3 (157 enodes) 185.207 * * [simplify]: iters left: 2 (335 enodes) 185.333 * * [simplify]: Extracting #0: cost 1 inf + 0 185.334 * * [simplify]: Extracting #1: cost 90 inf + 0 185.335 * * [simplify]: Extracting #2: cost 243 inf + 0 185.337 * * [simplify]: Extracting #3: cost 313 inf + 2 185.346 * * [simplify]: Extracting #4: cost 294 inf + 4753 185.356 * * [simplify]: Extracting #5: cost 204 inf + 40665 185.394 * * [simplify]: Extracting #6: cost 29 inf + 169120 185.441 * * [simplify]: Extracting #7: cost 0 inf + 190312 185.489 * * [simplify]: Extracting #8: cost 0 inf + 188105 185.538 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 185.538 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 185.539 * * * * [progress]: [ 184 / 667 ] simplifiying candidate # 185.539 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 185.539 * * [simplify]: iters left: 6 (15 enodes) 185.548 * * [simplify]: iters left: 5 (59 enodes) 185.568 * * [simplify]: iters left: 4 (96 enodes) 185.598 * * [simplify]: iters left: 3 (160 enodes) 185.652 * * [simplify]: iters left: 2 (338 enodes) 185.769 * * [simplify]: Extracting #0: cost 1 inf + 0 185.770 * * [simplify]: Extracting #1: cost 88 inf + 0 185.770 * * [simplify]: Extracting #2: cost 239 inf + 0 185.771 * * [simplify]: Extracting #3: cost 305 inf + 3 185.772 * * [simplify]: Extracting #4: cost 316 inf + 11 185.775 * * [simplify]: Extracting #5: cost 257 inf + 16019 185.789 * * [simplify]: Extracting #6: cost 55 inf + 136585 185.815 * * [simplify]: Extracting #7: cost 0 inf + 175885 185.850 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 185.850 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 185.850 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 185.850 * * [simplify]: iters left: 6 (15 enodes) 185.854 * * [simplify]: iters left: 5 (59 enodes) 185.865 * * [simplify]: iters left: 4 (96 enodes) 185.886 * * [simplify]: iters left: 3 (164 enodes) 185.926 * * [simplify]: iters left: 2 (347 enodes) 186.074 * * [simplify]: Extracting #0: cost 1 inf + 0 186.075 * * [simplify]: Extracting #1: cost 88 inf + 0 186.075 * * [simplify]: Extracting #2: cost 243 inf + 0 186.076 * * [simplify]: Extracting #3: cost 312 inf + 2 186.077 * * [simplify]: Extracting #4: cost 324 inf + 53 186.079 * * [simplify]: Extracting #5: cost 305 inf + 1778 186.084 * * [simplify]: Extracting #6: cost 205 inf + 38759 186.103 * * [simplify]: Extracting #7: cost 26 inf + 169985 186.147 * * [simplify]: Extracting #8: cost 0 inf + 188488 186.186 * * [simplify]: Extracting #9: cost 0 inf + 187753 186.221 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 186.221 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 186.222 * * * * [progress]: [ 185 / 667 ] simplifiying candidate # 186.222 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 186.222 * * [simplify]: iters left: 6 (14 enodes) 186.227 * * [simplify]: iters left: 5 (56 enodes) 186.237 * * [simplify]: iters left: 4 (88 enodes) 186.251 * * [simplify]: iters left: 3 (147 enodes) 186.286 * * [simplify]: iters left: 2 (313 enodes) 186.471 * * [simplify]: Extracting #0: cost 1 inf + 0 186.471 * * [simplify]: Extracting #1: cost 68 inf + 0 186.472 * * [simplify]: Extracting #2: cost 173 inf + 1 186.474 * * [simplify]: Extracting #3: cost 215 inf + 4 186.476 * * [simplify]: Extracting #4: cost 227 inf + 11 186.479 * * [simplify]: Extracting #5: cost 206 inf + 3302 186.485 * * [simplify]: Extracting #6: cost 145 inf + 18176 186.505 * * [simplify]: Extracting #7: cost 18 inf + 99007 186.536 * * [simplify]: Extracting #8: cost 1 inf + 112311 186.568 * * [simplify]: Extracting #9: cost 0 inf + 113176 186.594 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) 186.594 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 186.594 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 186.594 * * [simplify]: iters left: 6 (14 enodes) 186.599 * * [simplify]: iters left: 5 (56 enodes) 186.609 * * [simplify]: iters left: 4 (93 enodes) 186.629 * * [simplify]: iters left: 3 (157 enodes) 186.668 * * [simplify]: iters left: 2 (335 enodes) 186.782 * * [simplify]: Extracting #0: cost 1 inf + 0 186.783 * * [simplify]: Extracting #1: cost 90 inf + 0 186.784 * * [simplify]: Extracting #2: cost 243 inf + 0 186.786 * * [simplify]: Extracting #3: cost 313 inf + 2 186.790 * * [simplify]: Extracting #4: cost 294 inf + 4753 186.800 * * [simplify]: Extracting #5: cost 204 inf + 40665 186.837 * * [simplify]: Extracting #6: cost 29 inf + 169120 186.875 * * [simplify]: Extracting #7: cost 0 inf + 190312 186.909 * * [simplify]: Extracting #8: cost 0 inf + 188105 186.939 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 186.939 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 186.939 * * * * [progress]: [ 186 / 667 ] simplifiying candidate # 186.940 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 186.940 * * [simplify]: iters left: 6 (15 enodes) 186.944 * * [simplify]: iters left: 5 (59 enodes) 186.955 * * [simplify]: iters left: 4 (96 enodes) 186.985 * * [simplify]: iters left: 3 (160 enodes) 187.037 * * [simplify]: iters left: 2 (338 enodes) 187.197 * * [simplify]: Extracting #0: cost 1 inf + 0 187.198 * * [simplify]: Extracting #1: cost 88 inf + 0 187.199 * * [simplify]: Extracting #2: cost 239 inf + 0 187.201 * * [simplify]: Extracting #3: cost 305 inf + 3 187.203 * * [simplify]: Extracting #4: cost 316 inf + 11 187.208 * * [simplify]: Extracting #5: cost 257 inf + 16019 187.226 * * [simplify]: Extracting #6: cost 55 inf + 136585 187.253 * * [simplify]: Extracting #7: cost 0 inf + 175885 187.283 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 187.283 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 187.284 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 187.284 * * [simplify]: iters left: 6 (15 enodes) 187.288 * * [simplify]: iters left: 5 (59 enodes) 187.298 * * [simplify]: iters left: 4 (96 enodes) 187.326 * * [simplify]: iters left: 3 (164 enodes) 187.390 * * [simplify]: iters left: 2 (347 enodes) 187.507 * * [simplify]: Extracting #0: cost 1 inf + 0 187.507 * * [simplify]: Extracting #1: cost 88 inf + 0 187.508 * * [simplify]: Extracting #2: cost 243 inf + 0 187.509 * * [simplify]: Extracting #3: cost 312 inf + 2 187.510 * * [simplify]: Extracting #4: cost 324 inf + 53 187.511 * * [simplify]: Extracting #5: cost 305 inf + 1778 187.516 * * [simplify]: Extracting #6: cost 205 inf + 38759 187.546 * * [simplify]: Extracting #7: cost 26 inf + 169985 187.578 * * [simplify]: Extracting #8: cost 0 inf + 188488 187.604 * * [simplify]: Extracting #9: cost 0 inf + 187753 187.633 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 187.633 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 187.633 * * * * [progress]: [ 187 / 667 ] simplifiying candidate # 187.634 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 187.634 * * [simplify]: iters left: 6 (13 enodes) 187.638 * * [simplify]: iters left: 5 (51 enodes) 187.647 * * [simplify]: iters left: 4 (84 enodes) 187.679 * * [simplify]: iters left: 3 (145 enodes) 187.729 * * [simplify]: iters left: 2 (337 enodes) 187.938 * * [simplify]: Extracting #0: cost 1 inf + 0 187.939 * * [simplify]: Extracting #1: cost 68 inf + 0 187.940 * * [simplify]: Extracting #2: cost 176 inf + 1 187.941 * * [simplify]: Extracting #3: cost 219 inf + 4 187.943 * * [simplify]: Extracting #4: cost 229 inf + 11 187.946 * * [simplify]: Extracting #5: cost 201 inf + 3806 187.953 * * [simplify]: Extracting #6: cost 120 inf + 29596 187.983 * * [simplify]: Extracting #7: cost 14 inf + 107469 188.004 * * [simplify]: Extracting #8: cost 0 inf + 116292 188.023 * * [simplify]: Extracting #9: cost 0 inf + 116121 188.052 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) 188.052 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 188.052 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 188.052 * * [simplify]: iters left: 6 (14 enodes) 188.056 * * [simplify]: iters left: 5 (56 enodes) 188.067 * * [simplify]: iters left: 4 (93 enodes) 188.096 * * [simplify]: iters left: 3 (157 enodes) 188.128 * * [simplify]: iters left: 2 (335 enodes) 188.266 * * [simplify]: Extracting #0: cost 1 inf + 0 188.267 * * [simplify]: Extracting #1: cost 90 inf + 0 188.267 * * [simplify]: Extracting #2: cost 243 inf + 0 188.268 * * [simplify]: Extracting #3: cost 313 inf + 2 188.270 * * [simplify]: Extracting #4: cost 294 inf + 4753 188.280 * * [simplify]: Extracting #5: cost 204 inf + 40665 188.299 * * [simplify]: Extracting #6: cost 29 inf + 169120 188.323 * * [simplify]: Extracting #7: cost 0 inf + 190312 188.354 * * [simplify]: Extracting #8: cost 0 inf + 188105 188.393 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 188.393 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 188.394 * * * * [progress]: [ 188 / 667 ] simplifiying candidate # 188.394 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 188.394 * * [simplify]: iters left: 6 (17 enodes) 188.399 * * [simplify]: iters left: 5 (67 enodes) 188.410 * * [simplify]: iters left: 4 (105 enodes) 188.433 * * [simplify]: iters left: 3 (198 enodes) 188.509 * * [simplify]: Extracting #0: cost 1 inf + 0 188.509 * * [simplify]: Extracting #1: cost 53 inf + 0 188.510 * * [simplify]: Extracting #2: cost 127 inf + 0 188.511 * * [simplify]: Extracting #3: cost 167 inf + 1 188.512 * * [simplify]: Extracting #4: cost 176 inf + 9 188.514 * * [simplify]: Extracting #5: cost 146 inf + 4790 188.521 * * [simplify]: Extracting #6: cost 59 inf + 43284 188.531 * * [simplify]: Extracting #7: cost 1 inf + 82330 188.542 * * [simplify]: Extracting #8: cost 0 inf + 83356 188.552 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) 188.552 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))))) 188.553 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) 188.553 * * [simplify]: iters left: 6 (16 enodes) 188.557 * * [simplify]: iters left: 5 (62 enodes) 188.568 * * [simplify]: iters left: 4 (99 enodes) 188.588 * * [simplify]: iters left: 3 (163 enodes) 188.621 * * [simplify]: iters left: 2 (341 enodes) 188.727 * * [simplify]: Extracting #0: cost 1 inf + 0 188.727 * * [simplify]: Extracting #1: cost 89 inf + 0 188.729 * * [simplify]: Extracting #2: cost 240 inf + 0 188.731 * * [simplify]: Extracting #3: cost 310 inf + 2 188.738 * * [simplify]: Extracting #4: cost 320 inf + 53 188.741 * * [simplify]: Extracting #5: cost 297 inf + 2399 188.753 * * [simplify]: Extracting #6: cost 181 inf + 57849 188.781 * * [simplify]: Extracting #7: cost 25 inf + 178644 188.810 * * [simplify]: Extracting #8: cost 0 inf + 199252 188.862 * * [simplify]: Extracting #9: cost 0 inf + 198427 188.915 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 188.915 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 188.916 * * * * [progress]: [ 189 / 667 ] simplifiying candidate # 188.916 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 188.916 * * [simplify]: iters left: 6 (17 enodes) 188.922 * * [simplify]: iters left: 5 (66 enodes) 188.933 * * [simplify]: iters left: 4 (99 enodes) 188.952 * * [simplify]: iters left: 3 (168 enodes) 189.016 * * [simplify]: iters left: 2 (364 enodes) 189.166 * * [simplify]: Extracting #0: cost 1 inf + 0 189.167 * * [simplify]: Extracting #1: cost 85 inf + 0 189.168 * * [simplify]: Extracting #2: cost 236 inf + 0 189.170 * * [simplify]: Extracting #3: cost 310 inf + 3 189.172 * * [simplify]: Extracting #4: cost 322 inf + 11 189.176 * * [simplify]: Extracting #5: cost 283 inf + 9597 189.196 * * [simplify]: Extracting #6: cost 96 inf + 118763 189.222 * * [simplify]: Extracting #7: cost 2 inf + 182326 189.244 * * [simplify]: Extracting #8: cost 0 inf + 179308 189.282 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (fabs (cbrt k)))) 189.282 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))))) 189.282 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) 189.282 * * [simplify]: iters left: 6 (16 enodes) 189.287 * * [simplify]: iters left: 5 (62 enodes) 189.297 * * [simplify]: iters left: 4 (99 enodes) 189.316 * * [simplify]: iters left: 3 (163 enodes) 189.380 * * [simplify]: iters left: 2 (341 enodes) 189.503 * * [simplify]: Extracting #0: cost 1 inf + 0 189.503 * * [simplify]: Extracting #1: cost 89 inf + 0 189.504 * * [simplify]: Extracting #2: cost 240 inf + 0 189.505 * * [simplify]: Extracting #3: cost 310 inf + 2 189.506 * * [simplify]: Extracting #4: cost 320 inf + 53 189.508 * * [simplify]: Extracting #5: cost 297 inf + 2479 189.514 * * [simplify]: Extracting #6: cost 181 inf + 57929 189.540 * * [simplify]: Extracting #7: cost 25 inf + 178724 189.578 * * [simplify]: Extracting #8: cost 0 inf + 199332 189.630 * * [simplify]: Extracting #9: cost 0 inf + 198507 189.657 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 189.657 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 189.657 * * * * [progress]: [ 190 / 667 ] simplifiying candidate # 189.658 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 189.658 * * [simplify]: iters left: 6 (13 enodes) 189.662 * * [simplify]: iters left: 5 (53 enodes) 189.678 * * [simplify]: iters left: 4 (82 enodes) 189.704 * * [simplify]: iters left: 3 (129 enodes) 189.748 * * [simplify]: iters left: 2 (245 enodes) 189.856 * * [simplify]: Extracting #0: cost 1 inf + 0 189.856 * * [simplify]: Extracting #1: cost 50 inf + 0 189.857 * * [simplify]: Extracting #2: cost 133 inf + 0 189.858 * * [simplify]: Extracting #3: cost 195 inf + 3 189.860 * * [simplify]: Extracting #4: cost 181 inf + 2565 189.866 * * [simplify]: Extracting #5: cost 112 inf + 23044 189.885 * * [simplify]: Extracting #6: cost 13 inf + 84058 189.910 * * [simplify]: Extracting #7: cost 0 inf + 92471 189.939 * * [simplify]: Extracting #8: cost 0 inf + 92260 189.955 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 189.955 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))))) 189.955 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) 189.956 * * [simplify]: iters left: 6 (13 enodes) 189.960 * * [simplify]: iters left: 5 (53 enodes) 189.969 * * [simplify]: iters left: 4 (82 enodes) 189.983 * * [simplify]: iters left: 3 (129 enodes) 190.022 * * [simplify]: iters left: 2 (245 enodes) 190.109 * * [simplify]: Extracting #0: cost 1 inf + 0 190.109 * * [simplify]: Extracting #1: cost 50 inf + 0 190.110 * * [simplify]: Extracting #2: cost 132 inf + 0 190.111 * * [simplify]: Extracting #3: cost 196 inf + 2 190.113 * * [simplify]: Extracting #4: cost 179 inf + 3104 190.117 * * [simplify]: Extracting #5: cost 129 inf + 13676 190.130 * * [simplify]: Extracting #6: cost 48 inf + 62947 190.152 * * [simplify]: Extracting #7: cost 4 inf + 99046 190.180 * * [simplify]: Extracting #8: cost 0 inf + 100862 190.193 * * [simplify]: Extracting #9: cost 0 inf + 100338 190.205 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 190.205 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 190.205 * * * * [progress]: [ 191 / 667 ] simplifiying candidate # 190.206 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 190.206 * * [simplify]: iters left: 6 (16 enodes) 190.210 * * [simplify]: iters left: 5 (62 enodes) 190.230 * * [simplify]: iters left: 4 (95 enodes) 190.261 * * [simplify]: iters left: 3 (164 enodes) 190.316 * * [simplify]: iters left: 2 (363 enodes) 190.474 * * [simplify]: Extracting #0: cost 1 inf + 0 190.474 * * [simplify]: Extracting #1: cost 87 inf + 0 190.475 * * [simplify]: Extracting #2: cost 238 inf + 0 190.477 * * [simplify]: Extracting #3: cost 309 inf + 3 190.480 * * [simplify]: Extracting #4: cost 322 inf + 11 190.484 * * [simplify]: Extracting #5: cost 278 inf + 8591 190.502 * * [simplify]: Extracting #6: cost 131 inf + 71992 190.546 * * [simplify]: Extracting #7: cost 18 inf + 157944 190.594 * * [simplify]: Extracting #8: cost 0 inf + 173464 190.642 * * [simplify]: Extracting #9: cost 0 inf + 172800 190.689 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) 190.690 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 190.690 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 190.690 * * [simplify]: iters left: 6 (16 enodes) 190.698 * * [simplify]: iters left: 5 (62 enodes) 190.721 * * [simplify]: iters left: 4 (99 enodes) 190.753 * * [simplify]: iters left: 3 (163 enodes) 190.797 * * [simplify]: iters left: 2 (341 enodes) 190.915 * * [simplify]: Extracting #0: cost 1 inf + 0 190.915 * * [simplify]: Extracting #1: cost 89 inf + 0 190.916 * * [simplify]: Extracting #2: cost 240 inf + 0 190.918 * * [simplify]: Extracting #3: cost 310 inf + 2 190.921 * * [simplify]: Extracting #4: cost 320 inf + 53 190.923 * * [simplify]: Extracting #5: cost 297 inf + 2359 190.936 * * [simplify]: Extracting #6: cost 181 inf + 56449 190.975 * * [simplify]: Extracting #7: cost 25 inf + 174204 191.024 * * [simplify]: Extracting #8: cost 0 inf + 194172 191.071 * * [simplify]: Extracting #9: cost 0 inf + 193347 191.098 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 191.098 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 191.098 * * * * [progress]: [ 192 / 667 ] simplifiying candidate # 191.098 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) 191.099 * * [simplify]: iters left: 6 (15 enodes) 191.109 * * [simplify]: iters left: 5 (59 enodes) 191.128 * * [simplify]: iters left: 4 (91 enodes) 191.157 * * [simplify]: iters left: 3 (150 enodes) 191.196 * * [simplify]: iters left: 2 (322 enodes) 191.418 * * [simplify]: Extracting #0: cost 1 inf + 0 191.418 * * [simplify]: Extracting #1: cost 73 inf + 0 191.418 * * [simplify]: Extracting #2: cost 165 inf + 1 191.419 * * [simplify]: Extracting #3: cost 206 inf + 4 191.420 * * [simplify]: Extracting #4: cost 219 inf + 11 191.422 * * [simplify]: Extracting #5: cost 193 inf + 4059 191.427 * * [simplify]: Extracting #6: cost 97 inf + 49060 191.440 * * [simplify]: Extracting #7: cost 23 inf + 98550 191.469 * * [simplify]: Extracting #8: cost 0 inf + 113412 191.501 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) 191.501 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 191.502 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 191.502 * * [simplify]: iters left: 6 (15 enodes) 191.510 * * [simplify]: iters left: 5 (59 enodes) 191.534 * * [simplify]: iters left: 4 (96 enodes) 191.554 * * [simplify]: iters left: 3 (164 enodes) 191.587 * * [simplify]: iters left: 2 (347 enodes) 191.755 * * [simplify]: Extracting #0: cost 1 inf + 0 191.756 * * [simplify]: Extracting #1: cost 88 inf + 0 191.757 * * [simplify]: Extracting #2: cost 243 inf + 0 191.759 * * [simplify]: Extracting #3: cost 313 inf + 2 191.761 * * [simplify]: Extracting #4: cost 306 inf + 1530 191.771 * * [simplify]: Extracting #5: cost 216 inf + 37721 191.807 * * [simplify]: Extracting #6: cost 26 inf + 168497 191.853 * * [simplify]: Extracting #7: cost 0 inf + 185806 191.879 * * [simplify]: Extracting #8: cost 0 inf + 185031 191.925 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 191.925 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 191.925 * * * * [progress]: [ 193 / 667 ] simplifiying candidate # 191.925 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 191.926 * * [simplify]: iters left: 6 (16 enodes) 191.934 * * [simplify]: iters left: 5 (62 enodes) 191.954 * * [simplify]: iters left: 4 (95 enodes) 191.985 * * [simplify]: iters left: 3 (164 enodes) 192.053 * * [simplify]: iters left: 2 (363 enodes) 192.173 * * [simplify]: Extracting #0: cost 1 inf + 0 192.173 * * [simplify]: Extracting #1: cost 87 inf + 0 192.174 * * [simplify]: Extracting #2: cost 238 inf + 0 192.175 * * [simplify]: Extracting #3: cost 309 inf + 3 192.176 * * [simplify]: Extracting #4: cost 322 inf + 11 192.178 * * [simplify]: Extracting #5: cost 278 inf + 8591 192.187 * * [simplify]: Extracting #6: cost 131 inf + 71992 192.216 * * [simplify]: Extracting #7: cost 18 inf + 157944 192.252 * * [simplify]: Extracting #8: cost 0 inf + 173464 192.284 * * [simplify]: Extracting #9: cost 0 inf + 172800 192.312 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) 192.312 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 192.312 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 192.312 * * [simplify]: iters left: 6 (16 enodes) 192.317 * * [simplify]: iters left: 5 (62 enodes) 192.338 * * [simplify]: iters left: 4 (99 enodes) 192.369 * * [simplify]: iters left: 3 (163 enodes) 192.403 * * [simplify]: iters left: 2 (341 enodes) 192.577 * * [simplify]: Extracting #0: cost 1 inf + 0 192.577 * * [simplify]: Extracting #1: cost 89 inf + 0 192.579 * * [simplify]: Extracting #2: cost 240 inf + 0 192.581 * * [simplify]: Extracting #3: cost 310 inf + 2 192.583 * * [simplify]: Extracting #4: cost 320 inf + 53 192.586 * * [simplify]: Extracting #5: cost 297 inf + 2359 192.598 * * [simplify]: Extracting #6: cost 181 inf + 56449 192.632 * * [simplify]: Extracting #7: cost 25 inf + 174204 192.657 * * [simplify]: Extracting #8: cost 0 inf + 194172 192.685 * * [simplify]: Extracting #9: cost 0 inf + 193347 192.723 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 192.723 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 192.724 * * * * [progress]: [ 194 / 667 ] simplifiying candidate # 192.724 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) 192.724 * * [simplify]: iters left: 6 (14 enodes) 192.734 * * [simplify]: iters left: 5 (56 enodes) 192.752 * * [simplify]: iters left: 4 (88 enodes) 192.779 * * [simplify]: iters left: 3 (147 enodes) 192.831 * * [simplify]: iters left: 2 (313 enodes) 192.979 * * [simplify]: Extracting #0: cost 1 inf + 0 192.979 * * [simplify]: Extracting #1: cost 68 inf + 0 192.983 * * [simplify]: Extracting #2: cost 172 inf + 1 192.984 * * [simplify]: Extracting #3: cost 214 inf + 4 192.985 * * [simplify]: Extracting #4: cost 227 inf + 11 192.987 * * [simplify]: Extracting #5: cost 205 inf + 3465 192.989 * * [simplify]: Extracting #6: cost 146 inf + 17682 193.000 * * [simplify]: Extracting #7: cost 18 inf + 99007 193.025 * * [simplify]: Extracting #8: cost 1 inf + 112311 193.045 * * [simplify]: Extracting #9: cost 0 inf + 113176 193.061 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) 193.061 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 193.062 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 193.062 * * [simplify]: iters left: 6 (15 enodes) 193.066 * * [simplify]: iters left: 5 (59 enodes) 193.085 * * [simplify]: iters left: 4 (96 enodes) 193.101 * * [simplify]: iters left: 3 (164 enodes) 193.151 * * [simplify]: iters left: 2 (347 enodes) 193.331 * * [simplify]: Extracting #0: cost 1 inf + 0 193.331 * * [simplify]: Extracting #1: cost 88 inf + 0 193.332 * * [simplify]: Extracting #2: cost 243 inf + 0 193.334 * * [simplify]: Extracting #3: cost 313 inf + 2 193.337 * * [simplify]: Extracting #4: cost 306 inf + 1530 193.347 * * [simplify]: Extracting #5: cost 216 inf + 37721 193.384 * * [simplify]: Extracting #6: cost 26 inf + 168497 193.432 * * [simplify]: Extracting #7: cost 0 inf + 185806 193.479 * * [simplify]: Extracting #8: cost 0 inf + 185031 193.946 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 193.946 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 193.946 * * * * [progress]: [ 195 / 667 ] simplifiying candidate # 193.947 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 193.947 * * [simplify]: iters left: 6 (16 enodes) 193.956 * * [simplify]: iters left: 5 (62 enodes) 193.975 * * [simplify]: iters left: 4 (95 enodes) 194.005 * * [simplify]: iters left: 3 (164 enodes) 194.065 * * [simplify]: iters left: 2 (363 enodes) 194.196 * * [simplify]: Extracting #0: cost 1 inf + 0 194.197 * * [simplify]: Extracting #1: cost 87 inf + 0 194.198 * * [simplify]: Extracting #2: cost 238 inf + 0 194.200 * * [simplify]: Extracting #3: cost 309 inf + 3 194.202 * * [simplify]: Extracting #4: cost 322 inf + 11 194.206 * * [simplify]: Extracting #5: cost 278 inf + 8591 194.224 * * [simplify]: Extracting #6: cost 131 inf + 71992 194.264 * * [simplify]: Extracting #7: cost 18 inf + 157944 194.302 * * [simplify]: Extracting #8: cost 0 inf + 173464 194.334 * * [simplify]: Extracting #9: cost 0 inf + 172800 194.366 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) 194.366 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 194.367 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 194.367 * * [simplify]: iters left: 6 (16 enodes) 194.371 * * [simplify]: iters left: 5 (62 enodes) 194.384 * * [simplify]: iters left: 4 (99 enodes) 194.411 * * [simplify]: iters left: 3 (163 enodes) 194.442 * * [simplify]: iters left: 2 (341 enodes) 194.564 * * [simplify]: Extracting #0: cost 1 inf + 0 194.565 * * [simplify]: Extracting #1: cost 89 inf + 0 194.566 * * [simplify]: Extracting #2: cost 240 inf + 0 194.573 * * [simplify]: Extracting #3: cost 310 inf + 2 194.575 * * [simplify]: Extracting #4: cost 320 inf + 53 194.578 * * [simplify]: Extracting #5: cost 297 inf + 2359 194.588 * * [simplify]: Extracting #6: cost 181 inf + 56449 194.608 * * [simplify]: Extracting #7: cost 25 inf + 174204 194.644 * * [simplify]: Extracting #8: cost 0 inf + 194172 194.696 * * [simplify]: Extracting #9: cost 0 inf + 193347 194.749 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 194.749 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 194.749 * * * * [progress]: [ 196 / 667 ] simplifiying candidate # 194.750 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) 194.750 * * [simplify]: iters left: 6 (13 enodes) 194.757 * * [simplify]: iters left: 5 (51 enodes) 194.775 * * [simplify]: iters left: 4 (84 enodes) 194.803 * * [simplify]: iters left: 3 (145 enodes) 194.844 * * [simplify]: iters left: 2 (337 enodes) 195.077 * * [simplify]: Extracting #0: cost 1 inf + 0 195.078 * * [simplify]: Extracting #1: cost 68 inf + 0 195.079 * * [simplify]: Extracting #2: cost 175 inf + 1 195.080 * * [simplify]: Extracting #3: cost 218 inf + 4 195.082 * * [simplify]: Extracting #4: cost 229 inf + 11 195.085 * * [simplify]: Extracting #5: cost 200 inf + 4007 195.093 * * [simplify]: Extracting #6: cost 119 inf + 29757 195.112 * * [simplify]: Extracting #7: cost 14 inf + 107469 195.130 * * [simplify]: Extracting #8: cost 0 inf + 116292 195.160 * * [simplify]: Extracting #9: cost 0 inf + 116121 195.194 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) 195.194 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 195.195 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 195.195 * * [simplify]: iters left: 6 (15 enodes) 195.202 * * [simplify]: iters left: 5 (59 enodes) 195.223 * * [simplify]: iters left: 4 (96 enodes) 195.254 * * [simplify]: iters left: 3 (164 enodes) 195.297 * * [simplify]: iters left: 2 (347 enodes) 195.430 * * [simplify]: Extracting #0: cost 1 inf + 0 195.431 * * [simplify]: Extracting #1: cost 88 inf + 0 195.431 * * [simplify]: Extracting #2: cost 243 inf + 0 195.432 * * [simplify]: Extracting #3: cost 313 inf + 2 195.434 * * [simplify]: Extracting #4: cost 306 inf + 1530 195.438 * * [simplify]: Extracting #5: cost 216 inf + 37721 195.457 * * [simplify]: Extracting #6: cost 26 inf + 168497 195.495 * * [simplify]: Extracting #7: cost 0 inf + 185806 195.522 * * [simplify]: Extracting #8: cost 0 inf + 185031 195.550 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 195.550 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 195.550 * * * * [progress]: [ 197 / 667 ] simplifiying candidate # 195.551 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 195.551 * * [simplify]: iters left: 6 (14 enodes) 195.555 * * [simplify]: iters left: 5 (57 enodes) 195.566 * * [simplify]: iters left: 4 (99 enodes) 195.590 * * [simplify]: iters left: 3 (187 enodes) 195.668 * * [simplify]: iters left: 2 (499 enodes) 195.974 * * [simplify]: Extracting #0: cost 1 inf + 0 195.974 * * [simplify]: Extracting #1: cost 165 inf + 0 195.976 * * [simplify]: Extracting #2: cost 498 inf + 0 195.978 * * [simplify]: Extracting #3: cost 566 inf + 3 195.983 * * [simplify]: Extracting #4: cost 577 inf + 11 195.989 * * [simplify]: Extracting #5: cost 522 inf + 11987 196.017 * * [simplify]: Extracting #6: cost 253 inf + 178482 196.091 * * [simplify]: Extracting #7: cost 9 inf + 359195 196.167 * * [simplify]: Extracting #8: cost 0 inf + 358492 196.232 * * [simplify]: Extracting #9: cost 0 inf + 358230 196.307 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 196.307 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 196.307 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 196.307 * * [simplify]: iters left: 6 (14 enodes) 196.316 * * [simplify]: iters left: 5 (56 enodes) 196.336 * * [simplify]: iters left: 4 (93 enodes) 196.366 * * [simplify]: iters left: 3 (157 enodes) 196.407 * * [simplify]: iters left: 2 (335 enodes) 196.528 * * [simplify]: Extracting #0: cost 1 inf + 0 196.529 * * [simplify]: Extracting #1: cost 90 inf + 0 196.530 * * [simplify]: Extracting #2: cost 242 inf + 0 196.532 * * [simplify]: Extracting #3: cost 311 inf + 2 196.534 * * [simplify]: Extracting #4: cost 320 inf + 53 196.537 * * [simplify]: Extracting #5: cost 297 inf + 2836 196.544 * * [simplify]: Extracting #6: cost 229 inf + 21442 196.577 * * [simplify]: Extracting #7: cost 51 inf + 152140 196.625 * * [simplify]: Extracting #8: cost 1 inf + 194182 196.677 * * [simplify]: Extracting #9: cost 0 inf + 193127 196.723 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 196.723 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 196.723 * * * * [progress]: [ 198 / 667 ] simplifiying candidate # 196.723 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 196.723 * * [simplify]: iters left: 6 (15 enodes) 196.727 * * [simplify]: iters left: 5 (59 enodes) 196.737 * * [simplify]: iters left: 4 (96 enodes) 196.764 * * [simplify]: iters left: 3 (160 enodes) 196.803 * * [simplify]: iters left: 2 (338 enodes) 196.958 * * [simplify]: Extracting #0: cost 1 inf + 0 196.958 * * [simplify]: Extracting #1: cost 88 inf + 0 196.959 * * [simplify]: Extracting #2: cost 238 inf + 0 196.960 * * [simplify]: Extracting #3: cost 304 inf + 3 196.961 * * [simplify]: Extracting #4: cost 315 inf + 11 196.963 * * [simplify]: Extracting #5: cost 271 inf + 6982 196.975 * * [simplify]: Extracting #6: cost 142 inf + 78584 196.998 * * [simplify]: Extracting #7: cost 14 inf + 168344 197.034 * * [simplify]: Extracting #8: cost 0 inf + 176126 197.055 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 197.055 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 197.055 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 197.055 * * [simplify]: iters left: 6 (15 enodes) 197.060 * * [simplify]: iters left: 5 (59 enodes) 197.078 * * [simplify]: iters left: 4 (96 enodes) 197.095 * * [simplify]: iters left: 3 (164 enodes) 197.133 * * [simplify]: iters left: 2 (347 enodes) 197.284 * * [simplify]: Extracting #0: cost 1 inf + 0 197.284 * * [simplify]: Extracting #1: cost 88 inf + 0 197.286 * * [simplify]: Extracting #2: cost 243 inf + 0 197.288 * * [simplify]: Extracting #3: cost 312 inf + 2 197.290 * * [simplify]: Extracting #4: cost 324 inf + 53 197.293 * * [simplify]: Extracting #5: cost 305 inf + 1778 197.303 * * [simplify]: Extracting #6: cost 205 inf + 38599 197.342 * * [simplify]: Extracting #7: cost 26 inf + 169625 197.366 * * [simplify]: Extracting #8: cost 0 inf + 188488 197.391 * * [simplify]: Extracting #9: cost 0 inf + 187753 197.419 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 197.419 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 197.419 * * * * [progress]: [ 199 / 667 ] simplifiying candidate # 197.420 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 197.420 * * [simplify]: iters left: 6 (16 enodes) 197.424 * * [simplify]: iters left: 5 (62 enodes) 197.437 * * [simplify]: iters left: 4 (95 enodes) 197.456 * * [simplify]: iters left: 3 (164 enodes) 197.519 * * [simplify]: iters left: 2 (363 enodes) 197.655 * * [simplify]: Extracting #0: cost 1 inf + 0 197.655 * * [simplify]: Extracting #1: cost 87 inf + 0 197.656 * * [simplify]: Extracting #2: cost 238 inf + 0 197.657 * * [simplify]: Extracting #3: cost 309 inf + 3 197.658 * * [simplify]: Extracting #4: cost 322 inf + 11 197.661 * * [simplify]: Extracting #5: cost 270 inf + 11930 197.683 * * [simplify]: Extracting #6: cost 59 inf + 119172 197.734 * * [simplify]: Extracting #7: cost 1 inf + 155216 197.781 * * [simplify]: Extracting #8: cost 0 inf + 154766 197.810 * * [simplify]: Extracting #9: cost 0 inf + 154514 197.855 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) 197.855 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 197.855 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 197.856 * * [simplify]: iters left: 6 (16 enodes) 197.864 * * [simplify]: iters left: 5 (62 enodes) 197.884 * * [simplify]: iters left: 4 (99 enodes) 197.914 * * [simplify]: iters left: 3 (163 enodes) 197.974 * * [simplify]: iters left: 2 (341 enodes) 198.121 * * [simplify]: Extracting #0: cost 1 inf + 0 198.122 * * [simplify]: Extracting #1: cost 89 inf + 0 198.123 * * [simplify]: Extracting #2: cost 240 inf + 0 198.125 * * [simplify]: Extracting #3: cost 310 inf + 2 198.127 * * [simplify]: Extracting #4: cost 320 inf + 53 198.131 * * [simplify]: Extracting #5: cost 297 inf + 2399 198.143 * * [simplify]: Extracting #6: cost 181 inf + 56609 198.186 * * [simplify]: Extracting #7: cost 25 inf + 174324 198.212 * * [simplify]: Extracting #8: cost 0 inf + 194132 198.256 * * [simplify]: Extracting #9: cost 0 inf + 193307 198.310 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))) 198.310 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))))) 198.310 * * * * [progress]: [ 200 / 667 ] simplifiying candidate # 198.310 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 198.310 * * [simplify]: iters left: 6 (12 enodes) 198.314 * * [simplify]: iters left: 5 (49 enodes) 198.323 * * [simplify]: iters left: 4 (78 enodes) 198.337 * * [simplify]: iters left: 3 (129 enodes) 198.381 * * [simplify]: iters left: 2 (250 enodes) 198.466 * * [simplify]: Extracting #0: cost 1 inf + 0 198.466 * * [simplify]: Extracting #1: cost 50 inf + 0 198.467 * * [simplify]: Extracting #2: cost 133 inf + 0 198.467 * * [simplify]: Extracting #3: cost 193 inf + 3 198.468 * * [simplify]: Extracting #4: cost 169 inf + 5895 198.474 * * [simplify]: Extracting #5: cost 64 inf + 51254 198.486 * * [simplify]: Extracting #6: cost 1 inf + 82300 198.498 * * [simplify]: Extracting #7: cost 0 inf + 81099 198.520 * * [simplify]: Extracting #8: cost 0 inf + 80557 198.546 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 198.546 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 198.547 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 198.547 * * [simplify]: iters left: 6 (13 enodes) 198.554 * * [simplify]: iters left: 5 (53 enodes) 198.571 * * [simplify]: iters left: 4 (82 enodes) 198.596 * * [simplify]: iters left: 3 (129 enodes) 198.638 * * [simplify]: iters left: 2 (245 enodes) 198.716 * * [simplify]: Extracting #0: cost 1 inf + 0 198.716 * * [simplify]: Extracting #1: cost 50 inf + 0 198.717 * * [simplify]: Extracting #2: cost 132 inf + 0 198.718 * * [simplify]: Extracting #3: cost 196 inf + 2 198.720 * * [simplify]: Extracting #4: cost 179 inf + 2904 198.724 * * [simplify]: Extracting #5: cost 129 inf + 13116 198.730 * * [simplify]: Extracting #6: cost 48 inf + 60547 198.741 * * [simplify]: Extracting #7: cost 4 inf + 95366 198.756 * * [simplify]: Extracting #8: cost 0 inf + 97062 198.779 * * [simplify]: Extracting #9: cost 0 inf + 96538 198.803 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 198.803 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 198.803 * * * * [progress]: [ 201 / 667 ] simplifiying candidate # 198.804 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 198.804 * * [simplify]: iters left: 6 (14 enodes) 198.814 * * [simplify]: iters left: 5 (55 enodes) 198.831 * * [simplify]: iters left: 4 (87 enodes) 198.859 * * [simplify]: iters left: 3 (146 enodes) 198.919 * * [simplify]: iters left: 2 (316 enodes) 199.153 * * [simplify]: Extracting #0: cost 1 inf + 0 199.153 * * [simplify]: Extracting #1: cost 71 inf + 0 199.154 * * [simplify]: Extracting #2: cost 156 inf + 1 199.156 * * [simplify]: Extracting #3: cost 198 inf + 4 199.158 * * [simplify]: Extracting #4: cost 210 inf + 11 199.161 * * [simplify]: Extracting #5: cost 178 inf + 4809 199.178 * * [simplify]: Extracting #6: cost 52 inf + 56583 199.201 * * [simplify]: Extracting #7: cost 1 inf + 83761 199.218 * * [simplify]: Extracting #8: cost 0 inf + 83978 199.236 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 199.236 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 199.236 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 199.237 * * [simplify]: iters left: 6 (13 enodes) 199.241 * * [simplify]: iters left: 5 (53 enodes) 199.253 * * [simplify]: iters left: 4 (90 enodes) 199.268 * * [simplify]: iters left: 3 (154 enodes) 199.305 * * [simplify]: iters left: 2 (332 enodes) 199.456 * * [simplify]: Extracting #0: cost 1 inf + 0 199.457 * * [simplify]: Extracting #1: cost 89 inf + 0 199.458 * * [simplify]: Extracting #2: cost 239 inf + 0 199.464 * * [simplify]: Extracting #3: cost 312 inf + 2 199.467 * * [simplify]: Extracting #4: cost 298 inf + 2814 199.472 * * [simplify]: Extracting #5: cost 250 inf + 12246 199.491 * * [simplify]: Extracting #6: cost 118 inf + 90187 199.520 * * [simplify]: Extracting #7: cost 4 inf + 176281 199.543 * * [simplify]: Extracting #8: cost 0 inf + 177118 199.571 * * [simplify]: Extracting #9: cost 0 inf + 176987 199.605 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 199.605 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 199.605 * * * * [progress]: [ 202 / 667 ] simplifiying candidate # 199.605 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 199.605 * * [simplify]: iters left: 6 (12 enodes) 199.612 * * [simplify]: iters left: 5 (49 enodes) 199.629 * * [simplify]: iters left: 4 (78 enodes) 199.645 * * [simplify]: iters left: 3 (129 enodes) 199.672 * * [simplify]: iters left: 2 (250 enodes) 199.755 * * [simplify]: Extracting #0: cost 1 inf + 0 199.755 * * [simplify]: Extracting #1: cost 50 inf + 0 199.756 * * [simplify]: Extracting #2: cost 133 inf + 0 199.757 * * [simplify]: Extracting #3: cost 193 inf + 3 199.759 * * [simplify]: Extracting #4: cost 169 inf + 5895 199.770 * * [simplify]: Extracting #5: cost 64 inf + 51254 199.792 * * [simplify]: Extracting #6: cost 1 inf + 82300 199.819 * * [simplify]: Extracting #7: cost 0 inf + 81099 199.842 * * [simplify]: Extracting #8: cost 0 inf + 80557 199.866 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 199.867 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 199.867 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 199.867 * * [simplify]: iters left: 6 (13 enodes) 199.874 * * [simplify]: iters left: 5 (53 enodes) 199.893 * * [simplify]: iters left: 4 (82 enodes) 199.909 * * [simplify]: iters left: 3 (129 enodes) 199.938 * * [simplify]: iters left: 2 (245 enodes) 200.024 * * [simplify]: Extracting #0: cost 1 inf + 0 200.024 * * [simplify]: Extracting #1: cost 50 inf + 0 200.025 * * [simplify]: Extracting #2: cost 132 inf + 0 200.026 * * [simplify]: Extracting #3: cost 196 inf + 2 200.027 * * [simplify]: Extracting #4: cost 179 inf + 2904 200.029 * * [simplify]: Extracting #5: cost 129 inf + 13116 200.036 * * [simplify]: Extracting #6: cost 48 inf + 60547 200.049 * * [simplify]: Extracting #7: cost 4 inf + 95366 200.068 * * [simplify]: Extracting #8: cost 0 inf + 97062 200.081 * * [simplify]: Extracting #9: cost 0 inf + 96538 200.094 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 200.094 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 200.094 * * * * [progress]: [ 203 / 667 ] simplifiying candidate # 200.094 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 200.095 * * [simplify]: iters left: 6 (13 enodes) 200.101 * * [simplify]: iters left: 5 (52 enodes) 200.119 * * [simplify]: iters left: 4 (84 enodes) 200.146 * * [simplify]: iters left: 3 (141 enodes) 200.176 * * [simplify]: iters left: 2 (308 enodes) 200.361 * * [simplify]: Extracting #0: cost 1 inf + 0 200.361 * * [simplify]: Extracting #1: cost 70 inf + 0 200.362 * * [simplify]: Extracting #2: cost 182 inf + 1 200.364 * * [simplify]: Extracting #3: cost 223 inf + 4 200.366 * * [simplify]: Extracting #4: cost 235 inf + 11 200.369 * * [simplify]: Extracting #5: cost 196 inf + 6312 200.386 * * [simplify]: Extracting #6: cost 56 inf + 71698 200.420 * * [simplify]: Extracting #7: cost 1 inf + 102854 200.440 * * [simplify]: Extracting #8: cost 0 inf + 101598 200.461 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 200.462 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 200.462 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 200.462 * * [simplify]: iters left: 6 (13 enodes) 200.469 * * [simplify]: iters left: 5 (53 enodes) 200.485 * * [simplify]: iters left: 4 (90 enodes) 200.501 * * [simplify]: iters left: 3 (154 enodes) 200.544 * * [simplify]: iters left: 2 (332 enodes) 200.698 * * [simplify]: Extracting #0: cost 1 inf + 0 200.698 * * [simplify]: Extracting #1: cost 89 inf + 0 200.700 * * [simplify]: Extracting #2: cost 239 inf + 0 200.702 * * [simplify]: Extracting #3: cost 312 inf + 2 200.704 * * [simplify]: Extracting #4: cost 298 inf + 2814 200.710 * * [simplify]: Extracting #5: cost 250 inf + 12246 200.728 * * [simplify]: Extracting #6: cost 118 inf + 90187 200.748 * * [simplify]: Extracting #7: cost 4 inf + 176281 200.775 * * [simplify]: Extracting #8: cost 0 inf + 177118 200.811 * * [simplify]: Extracting #9: cost 0 inf + 176987 200.833 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 200.834 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 200.834 * * * * [progress]: [ 204 / 667 ] simplifiying candidate # 200.834 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 200.834 * * [simplify]: iters left: 6 (12 enodes) 200.838 * * [simplify]: iters left: 5 (49 enodes) 200.848 * * [simplify]: iters left: 4 (78 enodes) 200.873 * * [simplify]: iters left: 3 (129 enodes) 200.903 * * [simplify]: iters left: 2 (250 enodes) 200.964 * * [simplify]: Extracting #0: cost 1 inf + 0 200.964 * * [simplify]: Extracting #1: cost 50 inf + 0 200.964 * * [simplify]: Extracting #2: cost 133 inf + 0 200.965 * * [simplify]: Extracting #3: cost 193 inf + 3 200.966 * * [simplify]: Extracting #4: cost 169 inf + 5895 200.972 * * [simplify]: Extracting #5: cost 64 inf + 51254 200.984 * * [simplify]: Extracting #6: cost 1 inf + 82300 200.998 * * [simplify]: Extracting #7: cost 0 inf + 81099 201.009 * * [simplify]: Extracting #8: cost 0 inf + 80557 201.021 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 201.021 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 201.022 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 201.022 * * [simplify]: iters left: 6 (13 enodes) 201.026 * * [simplify]: iters left: 5 (53 enodes) 201.035 * * [simplify]: iters left: 4 (82 enodes) 201.053 * * [simplify]: iters left: 3 (129 enodes) 201.087 * * [simplify]: iters left: 2 (245 enodes) 201.157 * * [simplify]: Extracting #0: cost 1 inf + 0 201.157 * * [simplify]: Extracting #1: cost 50 inf + 0 201.158 * * [simplify]: Extracting #2: cost 132 inf + 0 201.159 * * [simplify]: Extracting #3: cost 196 inf + 2 201.161 * * [simplify]: Extracting #4: cost 179 inf + 2904 201.165 * * [simplify]: Extracting #5: cost 129 inf + 13116 201.182 * * [simplify]: Extracting #6: cost 48 inf + 60547 201.204 * * [simplify]: Extracting #7: cost 4 inf + 95366 201.228 * * [simplify]: Extracting #8: cost 0 inf + 97062 201.252 * * [simplify]: Extracting #9: cost 0 inf + 96538 201.271 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 201.271 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 201.271 * * * * [progress]: [ 205 / 667 ] simplifiying candidate # 201.272 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 1) 201.272 * * [simplify]: iters left: 6 (12 enodes) 201.275 * * [simplify]: iters left: 5 (47 enodes) 201.284 * * [simplify]: iters left: 4 (80 enodes) 201.301 * * [simplify]: iters left: 3 (145 enodes) 201.364 * * [simplify]: iters left: 2 (337 enodes) 201.522 * * [simplify]: Extracting #0: cost 1 inf + 0 201.522 * * [simplify]: Extracting #1: cost 69 inf + 0 201.523 * * [simplify]: Extracting #2: cost 185 inf + 1 201.525 * * [simplify]: Extracting #3: cost 227 inf + 4 201.527 * * [simplify]: Extracting #4: cost 238 inf + 11 201.530 * * [simplify]: Extracting #5: cost 205 inf + 4926 201.541 * * [simplify]: Extracting #6: cost 120 inf + 40294 201.568 * * [simplify]: Extracting #7: cost 38 inf + 95276 201.606 * * [simplify]: Extracting #8: cost 0 inf + 119183 201.641 * * [simplify]: Extracting #9: cost 0 inf + 117713 201.665 * * [simplify]: Extracting #10: cost 0 inf + 117451 201.682 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 201.682 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 201.683 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 201.683 * * [simplify]: iters left: 6 (13 enodes) 201.690 * * [simplify]: iters left: 5 (53 enodes) 201.707 * * [simplify]: iters left: 4 (90 enodes) 201.737 * * [simplify]: iters left: 3 (154 enodes) 201.768 * * [simplify]: iters left: 2 (332 enodes) 201.883 * * [simplify]: Extracting #0: cost 1 inf + 0 201.884 * * [simplify]: Extracting #1: cost 89 inf + 0 201.885 * * [simplify]: Extracting #2: cost 239 inf + 0 201.887 * * [simplify]: Extracting #3: cost 312 inf + 2 201.890 * * [simplify]: Extracting #4: cost 298 inf + 2814 201.895 * * [simplify]: Extracting #5: cost 250 inf + 12246 201.911 * * [simplify]: Extracting #6: cost 118 inf + 90187 201.935 * * [simplify]: Extracting #7: cost 4 inf + 176281 201.975 * * [simplify]: Extracting #8: cost 0 inf + 177118 201.998 * * [simplify]: Extracting #9: cost 0 inf + 176987 202.045 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 202.045 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 202.045 * * * * [progress]: [ 206 / 667 ] simplifiying candidate # 202.046 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 202.046 * * [simplify]: iters left: 6 (15 enodes) 202.057 * * [simplify]: iters left: 5 (60 enodes) 202.076 * * [simplify]: iters left: 4 (92 enodes) 202.101 * * [simplify]: iters left: 3 (154 enodes) 202.143 * * [simplify]: iters left: 2 (357 enodes) 202.334 * * [simplify]: Extracting #0: cost 1 inf + 0 202.335 * * [simplify]: Extracting #1: cost 89 inf + 0 202.336 * * [simplify]: Extracting #2: cost 232 inf + 1 202.337 * * [simplify]: Extracting #3: cost 274 inf + 4 202.338 * * [simplify]: Extracting #4: cost 286 inf + 11 202.341 * * [simplify]: Extracting #5: cost 262 inf + 2877 202.348 * * [simplify]: Extracting #6: cost 201 inf + 18669 202.373 * * [simplify]: Extracting #7: cost 34 inf + 138199 202.403 * * [simplify]: Extracting #8: cost 0 inf + 157598 202.429 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 202.430 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 202.430 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 202.430 * * [simplify]: iters left: 6 (13 enodes) 202.434 * * [simplify]: iters left: 5 (53 enodes) 202.445 * * [simplify]: iters left: 4 (90 enodes) 202.474 * * [simplify]: iters left: 3 (154 enodes) 202.535 * * [simplify]: iters left: 2 (332 enodes) 202.658 * * [simplify]: Extracting #0: cost 1 inf + 0 202.658 * * [simplify]: Extracting #1: cost 89 inf + 0 202.660 * * [simplify]: Extracting #2: cost 240 inf + 0 202.662 * * [simplify]: Extracting #3: cost 313 inf + 2 202.664 * * [simplify]: Extracting #4: cost 300 inf + 2125 202.670 * * [simplify]: Extracting #5: cost 243 inf + 15252 202.701 * * [simplify]: Extracting #6: cost 46 inf + 154248 202.728 * * [simplify]: Extracting #7: cost 1 inf + 184886 202.750 * * [simplify]: Extracting #8: cost 0 inf + 183035 202.772 * * [simplify]: Extracting #9: cost 0 inf + 182773 202.812 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 202.812 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 202.812 * * * * [progress]: [ 207 / 667 ] simplifiying candidate # 202.813 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 202.813 * * [simplify]: iters left: 6 (15 enodes) 202.823 * * [simplify]: iters left: 5 (59 enodes) 202.845 * * [simplify]: iters left: 4 (87 enodes) 202.871 * * [simplify]: iters left: 3 (141 enodes) 202.917 * * [simplify]: iters left: 2 (287 enodes) 203.020 * * [simplify]: Extracting #0: cost 1 inf + 0 203.021 * * [simplify]: Extracting #1: cost 62 inf + 0 203.021 * * [simplify]: Extracting #2: cost 148 inf + 1 203.023 * * [simplify]: Extracting #3: cost 190 inf + 4 203.024 * * [simplify]: Extracting #4: cost 202 inf + 11 203.026 * * [simplify]: Extracting #5: cost 179 inf + 3721 203.035 * * [simplify]: Extracting #6: cost 86 inf + 35384 203.058 * * [simplify]: Extracting #7: cost 3 inf + 93232 203.071 * * [simplify]: Extracting #8: cost 0 inf + 94906 203.084 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) 203.085 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 203.085 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 203.085 * * [simplify]: iters left: 6 (14 enodes) 203.093 * * [simplify]: iters left: 5 (56 enodes) 203.112 * * [simplify]: iters left: 4 (93 enodes) 203.141 * * [simplify]: iters left: 3 (157 enodes) 203.202 * * [simplify]: iters left: 2 (335 enodes) 203.317 * * [simplify]: Extracting #0: cost 1 inf + 0 203.317 * * [simplify]: Extracting #1: cost 90 inf + 0 203.318 * * [simplify]: Extracting #2: cost 242 inf + 0 203.319 * * [simplify]: Extracting #3: cost 312 inf + 2 203.320 * * [simplify]: Extracting #4: cost 309 inf + 787 203.324 * * [simplify]: Extracting #5: cost 237 inf + 23661 203.346 * * [simplify]: Extracting #6: cost 44 inf + 154087 203.388 * * [simplify]: Extracting #7: cost 0 inf + 187878 203.418 * * [simplify]: Extracting #8: cost 0 inf + 187202 203.458 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) 203.458 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))))) 203.458 * * * * [progress]: [ 208 / 667 ] simplifiying candidate # 203.459 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 203.459 * * [simplify]: iters left: 6 (15 enodes) 203.465 * * [simplify]: iters left: 5 (59 enodes) 203.475 * * [simplify]: iters left: 4 (87 enodes) 203.491 * * [simplify]: iters left: 3 (141 enodes) 203.540 * * [simplify]: iters left: 2 (287 enodes) 203.696 * * [simplify]: Extracting #0: cost 1 inf + 0 203.696 * * [simplify]: Extracting #1: cost 62 inf + 0 203.697 * * [simplify]: Extracting #2: cost 147 inf + 1 203.698 * * [simplify]: Extracting #3: cost 189 inf + 4 203.700 * * [simplify]: Extracting #4: cost 202 inf + 11 203.702 * * [simplify]: Extracting #5: cost 180 inf + 3600 203.711 * * [simplify]: Extracting #6: cost 85 inf + 35759 203.738 * * [simplify]: Extracting #7: cost 3 inf + 93232 203.763 * * [simplify]: Extracting #8: cost 0 inf + 94906 203.785 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) 203.785 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 203.786 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 203.786 * * [simplify]: iters left: 6 (15 enodes) 203.790 * * [simplify]: iters left: 5 (59 enodes) 203.800 * * [simplify]: iters left: 4 (96 enodes) 203.817 * * [simplify]: iters left: 3 (164 enodes) 203.880 * * [simplify]: iters left: 2 (347 enodes) 204.007 * * [simplify]: Extracting #0: cost 1 inf + 0 204.007 * * [simplify]: Extracting #1: cost 88 inf + 0 204.008 * * [simplify]: Extracting #2: cost 243 inf + 0 204.010 * * [simplify]: Extracting #3: cost 313 inf + 2 204.013 * * [simplify]: Extracting #4: cost 298 inf + 3266 204.023 * * [simplify]: Extracting #5: cost 200 inf + 42070 204.047 * * [simplify]: Extracting #6: cost 28 inf + 163627 204.078 * * [simplify]: Extracting #7: cost 0 inf + 185610 204.125 * * [simplify]: Extracting #8: cost 0 inf + 185413 204.169 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 204.169 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 204.169 * * * * [progress]: [ 209 / 667 ] simplifiying candidate # 204.169 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 204.170 * * [simplify]: iters left: 6 (14 enodes) 204.175 * * [simplify]: iters left: 5 (55 enodes) 204.185 * * [simplify]: iters left: 4 (83 enodes) 204.201 * * [simplify]: iters left: 3 (137 enodes) 204.232 * * [simplify]: iters left: 2 (283 enodes) 204.379 * * [simplify]: Extracting #0: cost 1 inf + 0 204.379 * * [simplify]: Extracting #1: cost 56 inf + 0 204.379 * * [simplify]: Extracting #2: cost 144 inf + 1 204.380 * * [simplify]: Extracting #3: cost 187 inf + 4 204.381 * * [simplify]: Extracting #4: cost 199 inf + 11 204.382 * * [simplify]: Extracting #5: cost 183 inf + 2538 204.385 * * [simplify]: Extracting #6: cost 122 inf + 14425 204.394 * * [simplify]: Extracting #7: cost 29 inf + 71170 204.416 * * [simplify]: Extracting #8: cost 0 inf + 89323 204.441 * * [simplify]: Extracting #9: cost 0 inf + 88537 204.465 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 204.465 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 204.466 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 204.466 * * [simplify]: iters left: 6 (13 enodes) 204.473 * * [simplify]: iters left: 5 (53 enodes) 204.492 * * [simplify]: iters left: 4 (90 enodes) 204.520 * * [simplify]: iters left: 3 (154 enodes) 204.579 * * [simplify]: iters left: 2 (332 enodes) 204.689 * * [simplify]: Extracting #0: cost 1 inf + 0 204.689 * * [simplify]: Extracting #1: cost 89 inf + 0 204.691 * * [simplify]: Extracting #2: cost 240 inf + 0 204.693 * * [simplify]: Extracting #3: cost 313 inf + 2 204.695 * * [simplify]: Extracting #4: cost 300 inf + 2125 204.701 * * [simplify]: Extracting #5: cost 243 inf + 14972 204.733 * * [simplify]: Extracting #6: cost 46 inf + 150408 204.782 * * [simplify]: Extracting #7: cost 1 inf + 179846 204.807 * * [simplify]: Extracting #8: cost 0 inf + 177955 204.838 * * [simplify]: Extracting #9: cost 0 inf + 177693 204.861 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 204.861 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 204.861 * * * * [progress]: [ 210 / 667 ] simplifiying candidate # 204.861 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) 204.861 * * [simplify]: iters left: 6 (11 enodes) 204.869 * * [simplify]: iters left: 5 (46 enodes) 204.883 * * [simplify]: iters left: 4 (74 enodes) 204.895 * * [simplify]: iters left: 3 (115 enodes) 204.922 * * [simplify]: iters left: 2 (222 enodes) 204.986 * * [simplify]: Extracting #0: cost 1 inf + 0 204.986 * * [simplify]: Extracting #1: cost 34 inf + 0 204.986 * * [simplify]: Extracting #2: cost 98 inf + 3 204.987 * * [simplify]: Extracting #3: cost 135 inf + 6 204.987 * * [simplify]: Extracting #4: cost 118 inf + 1788 204.989 * * [simplify]: Extracting #5: cost 64 inf + 10674 204.994 * * [simplify]: Extracting #6: cost 10 inf + 40227 205.004 * * [simplify]: Extracting #7: cost 0 inf + 45674 205.011 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 205.011 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 205.011 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 205.011 * * [simplify]: iters left: 6 (12 enodes) 205.015 * * [simplify]: iters left: 5 (50 enodes) 205.024 * * [simplify]: iters left: 4 (75 enodes) 205.037 * * [simplify]: iters left: 3 (127 enodes) 205.072 * * [simplify]: iters left: 2 (264 enodes) 205.175 * * [simplify]: Extracting #0: cost 1 inf + 0 205.175 * * [simplify]: Extracting #1: cost 50 inf + 0 205.176 * * [simplify]: Extracting #2: cost 131 inf + 0 205.177 * * [simplify]: Extracting #3: cost 191 inf + 125 205.183 * * [simplify]: Extracting #4: cost 178 inf + 2744 205.186 * * [simplify]: Extracting #5: cost 112 inf + 21978 205.195 * * [simplify]: Extracting #6: cost 9 inf + 85058 205.207 * * [simplify]: Extracting #7: cost 0 inf + 91019 205.219 * * [simplify]: Extracting #8: cost 0 inf + 90978 205.234 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 205.234 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 205.234 * * * * [progress]: [ 211 / 667 ] simplifiying candidate # 205.234 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 205.235 * * [simplify]: iters left: 6 (14 enodes) 205.244 * * [simplify]: iters left: 5 (55 enodes) 205.259 * * [simplify]: iters left: 4 (83 enodes) 205.273 * * [simplify]: iters left: 3 (137 enodes) 205.321 * * [simplify]: iters left: 2 (283 enodes) 205.449 * * [simplify]: Extracting #0: cost 1 inf + 0 205.449 * * [simplify]: Extracting #1: cost 56 inf + 0 205.450 * * [simplify]: Extracting #2: cost 144 inf + 1 205.452 * * [simplify]: Extracting #3: cost 187 inf + 4 205.454 * * [simplify]: Extracting #4: cost 199 inf + 11 205.456 * * [simplify]: Extracting #5: cost 183 inf + 2538 205.460 * * [simplify]: Extracting #6: cost 122 inf + 14425 205.477 * * [simplify]: Extracting #7: cost 29 inf + 71170 205.502 * * [simplify]: Extracting #8: cost 0 inf + 89323 205.531 * * [simplify]: Extracting #9: cost 0 inf + 88537 205.543 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 205.543 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 205.544 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 205.544 * * [simplify]: iters left: 6 (13 enodes) 205.548 * * [simplify]: iters left: 5 (53 enodes) 205.557 * * [simplify]: iters left: 4 (90 enodes) 205.573 * * [simplify]: iters left: 3 (154 enodes) 205.616 * * [simplify]: iters left: 2 (332 enodes) 205.740 * * [simplify]: Extracting #0: cost 1 inf + 0 205.740 * * [simplify]: Extracting #1: cost 89 inf + 0 205.741 * * [simplify]: Extracting #2: cost 240 inf + 0 205.742 * * [simplify]: Extracting #3: cost 313 inf + 2 205.744 * * [simplify]: Extracting #4: cost 300 inf + 2125 205.746 * * [simplify]: Extracting #5: cost 243 inf + 14972 205.770 * * [simplify]: Extracting #6: cost 46 inf + 150408 205.815 * * [simplify]: Extracting #7: cost 1 inf + 179846 205.865 * * [simplify]: Extracting #8: cost 0 inf + 177955 205.911 * * [simplify]: Extracting #9: cost 0 inf + 177693 205.957 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 205.957 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 205.958 * * * * [progress]: [ 212 / 667 ] simplifiying candidate # 205.958 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) (sqrt 1)) 205.958 * * [simplify]: iters left: 6 (11 enodes) 205.963 * * [simplify]: iters left: 5 (46 enodes) 205.971 * * [simplify]: iters left: 4 (74 enodes) 205.985 * * [simplify]: iters left: 3 (115 enodes) 206.012 * * [simplify]: iters left: 2 (222 enodes) 206.084 * * [simplify]: Extracting #0: cost 1 inf + 0 206.084 * * [simplify]: Extracting #1: cost 34 inf + 0 206.084 * * [simplify]: Extracting #2: cost 98 inf + 3 206.085 * * [simplify]: Extracting #3: cost 135 inf + 6 206.086 * * [simplify]: Extracting #4: cost 118 inf + 1788 206.087 * * [simplify]: Extracting #5: cost 64 inf + 10674 206.092 * * [simplify]: Extracting #6: cost 10 inf + 40227 206.098 * * [simplify]: Extracting #7: cost 0 inf + 45674 206.104 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 206.104 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 206.104 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 206.104 * * [simplify]: iters left: 6 (12 enodes) 206.108 * * [simplify]: iters left: 5 (50 enodes) 206.118 * * [simplify]: iters left: 4 (75 enodes) 206.137 * * [simplify]: iters left: 3 (127 enodes) 206.171 * * [simplify]: iters left: 2 (264 enodes) 206.246 * * [simplify]: Extracting #0: cost 1 inf + 0 206.246 * * [simplify]: Extracting #1: cost 50 inf + 0 206.247 * * [simplify]: Extracting #2: cost 131 inf + 0 206.247 * * [simplify]: Extracting #3: cost 191 inf + 125 206.248 * * [simplify]: Extracting #4: cost 178 inf + 2744 206.251 * * [simplify]: Extracting #5: cost 112 inf + 21978 206.264 * * [simplify]: Extracting #6: cost 9 inf + 85058 206.280 * * [simplify]: Extracting #7: cost 0 inf + 91019 206.303 * * [simplify]: Extracting #8: cost 0 inf + 90978 206.326 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 206.326 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 206.326 * * * * [progress]: [ 213 / 667 ] simplifiying candidate # 206.327 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 206.327 * * [simplify]: iters left: 6 (14 enodes) 206.336 * * [simplify]: iters left: 5 (55 enodes) 206.347 * * [simplify]: iters left: 4 (83 enodes) 206.361 * * [simplify]: iters left: 3 (137 enodes) 206.393 * * [simplify]: iters left: 2 (283 enodes) 206.528 * * [simplify]: Extracting #0: cost 1 inf + 0 206.529 * * [simplify]: Extracting #1: cost 56 inf + 0 206.529 * * [simplify]: Extracting #2: cost 144 inf + 1 206.530 * * [simplify]: Extracting #3: cost 187 inf + 4 206.531 * * [simplify]: Extracting #4: cost 199 inf + 11 206.532 * * [simplify]: Extracting #5: cost 183 inf + 2538 206.534 * * [simplify]: Extracting #6: cost 122 inf + 14425 206.546 * * [simplify]: Extracting #7: cost 29 inf + 71170 206.571 * * [simplify]: Extracting #8: cost 0 inf + 89323 206.602 * * [simplify]: Extracting #9: cost 0 inf + 88537 206.621 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 206.621 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 206.622 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 206.622 * * [simplify]: iters left: 6 (13 enodes) 206.626 * * [simplify]: iters left: 5 (53 enodes) 206.635 * * [simplify]: iters left: 4 (90 enodes) 206.657 * * [simplify]: iters left: 3 (154 enodes) 206.714 * * [simplify]: iters left: 2 (332 enodes) 206.861 * * [simplify]: Extracting #0: cost 1 inf + 0 206.861 * * [simplify]: Extracting #1: cost 89 inf + 0 206.863 * * [simplify]: Extracting #2: cost 240 inf + 0 206.865 * * [simplify]: Extracting #3: cost 313 inf + 2 206.868 * * [simplify]: Extracting #4: cost 300 inf + 2125 206.873 * * [simplify]: Extracting #5: cost 243 inf + 14972 206.904 * * [simplify]: Extracting #6: cost 46 inf + 150408 206.929 * * [simplify]: Extracting #7: cost 1 inf + 179846 206.970 * * [simplify]: Extracting #8: cost 0 inf + 177955 207.015 * * [simplify]: Extracting #9: cost 0 inf + 177693 207.039 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 207.039 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 207.039 * * * * [progress]: [ 214 / 667 ] simplifiying candidate # 207.040 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) 1) 207.040 * * [simplify]: iters left: 6 (11 enodes) 207.045 * * [simplify]: iters left: 5 (44 enodes) 207.058 * * [simplify]: iters left: 4 (72 enodes) 207.071 * * [simplify]: iters left: 3 (109 enodes) 207.093 * * [simplify]: iters left: 2 (211 enodes) 207.168 * * [simplify]: iters left: 1 (494 enodes) 207.571 * * [simplify]: Extracting #0: cost 1 inf + 0 207.571 * * [simplify]: Extracting #1: cost 59 inf + 0 207.573 * * [simplify]: Extracting #2: cost 180 inf + 3 207.574 * * [simplify]: Extracting #3: cost 231 inf + 8 207.577 * * [simplify]: Extracting #4: cost 224 inf + 1008 207.583 * * [simplify]: Extracting #5: cost 140 inf + 16784 207.604 * * [simplify]: Extracting #6: cost 51 inf + 74789 207.632 * * [simplify]: Extracting #7: cost 3 inf + 112796 207.661 * * [simplify]: Extracting #8: cost 0 inf + 113962 207.682 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 207.682 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 207.682 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 207.682 * * [simplify]: iters left: 6 (12 enodes) 207.688 * * [simplify]: iters left: 5 (50 enodes) 207.697 * * [simplify]: iters left: 4 (75 enodes) 207.713 * * [simplify]: iters left: 3 (127 enodes) 207.751 * * [simplify]: iters left: 2 (264 enodes) 207.844 * * [simplify]: Extracting #0: cost 1 inf + 0 207.845 * * [simplify]: Extracting #1: cost 50 inf + 0 207.845 * * [simplify]: Extracting #2: cost 131 inf + 0 207.846 * * [simplify]: Extracting #3: cost 191 inf + 125 207.847 * * [simplify]: Extracting #4: cost 178 inf + 2744 207.850 * * [simplify]: Extracting #5: cost 112 inf + 21978 207.859 * * [simplify]: Extracting #6: cost 9 inf + 85058 207.876 * * [simplify]: Extracting #7: cost 0 inf + 91019 207.899 * * [simplify]: Extracting #8: cost 0 inf + 90978 207.922 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 207.922 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 207.922 * * * * [progress]: [ 215 / 667 ] simplifiying candidate # 207.922 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 207.923 * * [simplify]: iters left: 6 (14 enodes) 207.930 * * [simplify]: iters left: 5 (57 enodes) 207.940 * * [simplify]: iters left: 4 (99 enodes) 207.961 * * [simplify]: iters left: 3 (187 enodes) 208.041 * * [simplify]: iters left: 2 (499 enodes) 208.355 * * [simplify]: Extracting #0: cost 1 inf + 0 208.355 * * [simplify]: Extracting #1: cost 165 inf + 0 208.357 * * [simplify]: Extracting #2: cost 498 inf + 0 208.359 * * [simplify]: Extracting #3: cost 566 inf + 3 208.362 * * [simplify]: Extracting #4: cost 577 inf + 11 208.366 * * [simplify]: Extracting #5: cost 522 inf + 11987 208.392 * * [simplify]: Extracting #6: cost 253 inf + 178482 208.460 * * [simplify]: Extracting #7: cost 9 inf + 359195 208.536 * * [simplify]: Extracting #8: cost 0 inf + 358492 208.599 * * [simplify]: Extracting #9: cost 0 inf + 358230 208.651 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 208.652 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 208.652 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 208.652 * * [simplify]: iters left: 6 (14 enodes) 208.656 * * [simplify]: iters left: 5 (56 enodes) 208.668 * * [simplify]: iters left: 4 (93 enodes) 208.698 * * [simplify]: iters left: 3 (157 enodes) 208.745 * * [simplify]: iters left: 2 (335 enodes) 208.896 * * [simplify]: Extracting #0: cost 1 inf + 0 208.896 * * [simplify]: Extracting #1: cost 90 inf + 0 208.898 * * [simplify]: Extracting #2: cost 242 inf + 0 208.900 * * [simplify]: Extracting #3: cost 311 inf + 2 208.903 * * [simplify]: Extracting #4: cost 320 inf + 53 208.906 * * [simplify]: Extracting #5: cost 297 inf + 2836 208.912 * * [simplify]: Extracting #6: cost 229 inf + 21442 208.935 * * [simplify]: Extracting #7: cost 51 inf + 152140 208.961 * * [simplify]: Extracting #8: cost 1 inf + 194182 209.003 * * [simplify]: Extracting #9: cost 0 inf + 193127 209.036 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 209.036 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 209.037 * * * * [progress]: [ 216 / 667 ] simplifiying candidate # 209.037 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 209.037 * * [simplify]: iters left: 6 (15 enodes) 209.045 * * [simplify]: iters left: 5 (59 enodes) 209.065 * * [simplify]: iters left: 4 (96 enodes) 209.090 * * [simplify]: iters left: 3 (160 enodes) 209.124 * * [simplify]: iters left: 2 (338 enodes) 209.270 * * [simplify]: Extracting #0: cost 1 inf + 0 209.271 * * [simplify]: Extracting #1: cost 88 inf + 0 209.272 * * [simplify]: Extracting #2: cost 238 inf + 0 209.274 * * [simplify]: Extracting #3: cost 304 inf + 3 209.277 * * [simplify]: Extracting #4: cost 315 inf + 11 209.281 * * [simplify]: Extracting #5: cost 271 inf + 6982 209.297 * * [simplify]: Extracting #6: cost 142 inf + 78584 209.339 * * [simplify]: Extracting #7: cost 14 inf + 168344 209.383 * * [simplify]: Extracting #8: cost 0 inf + 176126 209.426 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 209.427 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 209.427 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 209.427 * * [simplify]: iters left: 6 (15 enodes) 209.435 * * [simplify]: iters left: 5 (59 enodes) 209.453 * * [simplify]: iters left: 4 (96 enodes) 209.472 * * [simplify]: iters left: 3 (164 enodes) 209.507 * * [simplify]: iters left: 2 (347 enodes) 209.622 * * [simplify]: Extracting #0: cost 1 inf + 0 209.622 * * [simplify]: Extracting #1: cost 88 inf + 0 209.623 * * [simplify]: Extracting #2: cost 243 inf + 0 209.624 * * [simplify]: Extracting #3: cost 312 inf + 2 209.625 * * [simplify]: Extracting #4: cost 324 inf + 53 209.627 * * [simplify]: Extracting #5: cost 305 inf + 1778 209.631 * * [simplify]: Extracting #6: cost 205 inf + 38599 209.659 * * [simplify]: Extracting #7: cost 26 inf + 169625 209.685 * * [simplify]: Extracting #8: cost 0 inf + 188488 209.727 * * [simplify]: Extracting #9: cost 0 inf + 187753 209.753 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 209.753 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 209.753 * * * * [progress]: [ 217 / 667 ] simplifiying candidate # 209.753 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 209.753 * * [simplify]: iters left: 6 (16 enodes) 209.758 * * [simplify]: iters left: 5 (62 enodes) 209.772 * * [simplify]: iters left: 4 (95 enodes) 209.789 * * [simplify]: iters left: 3 (164 enodes) 209.838 * * [simplify]: iters left: 2 (363 enodes) 209.964 * * [simplify]: Extracting #0: cost 1 inf + 0 209.964 * * [simplify]: Extracting #1: cost 87 inf + 0 209.965 * * [simplify]: Extracting #2: cost 238 inf + 0 209.968 * * [simplify]: Extracting #3: cost 309 inf + 3 209.970 * * [simplify]: Extracting #4: cost 322 inf + 11 209.975 * * [simplify]: Extracting #5: cost 270 inf + 11930 209.999 * * [simplify]: Extracting #6: cost 59 inf + 119172 210.038 * * [simplify]: Extracting #7: cost 1 inf + 155216 210.071 * * [simplify]: Extracting #8: cost 0 inf + 154766 210.108 * * [simplify]: Extracting #9: cost 0 inf + 154514 210.140 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) 210.140 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 210.141 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 210.141 * * [simplify]: iters left: 6 (16 enodes) 210.150 * * [simplify]: iters left: 5 (62 enodes) 210.163 * * [simplify]: iters left: 4 (99 enodes) 210.182 * * [simplify]: iters left: 3 (163 enodes) 210.219 * * [simplify]: iters left: 2 (341 enodes) 210.341 * * [simplify]: Extracting #0: cost 1 inf + 0 210.342 * * [simplify]: Extracting #1: cost 89 inf + 0 210.343 * * [simplify]: Extracting #2: cost 240 inf + 0 210.345 * * [simplify]: Extracting #3: cost 310 inf + 2 210.347 * * [simplify]: Extracting #4: cost 320 inf + 53 210.350 * * [simplify]: Extracting #5: cost 297 inf + 2399 210.367 * * [simplify]: Extracting #6: cost 181 inf + 56609 210.394 * * [simplify]: Extracting #7: cost 25 inf + 174324 210.420 * * [simplify]: Extracting #8: cost 0 inf + 194132 210.447 * * [simplify]: Extracting #9: cost 0 inf + 193307 210.478 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))) 210.478 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))))) 210.478 * * * * [progress]: [ 218 / 667 ] simplifiying candidate # 210.478 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 210.478 * * [simplify]: iters left: 6 (12 enodes) 210.485 * * [simplify]: iters left: 5 (49 enodes) 210.502 * * [simplify]: iters left: 4 (78 enodes) 210.527 * * [simplify]: iters left: 3 (129 enodes) 210.570 * * [simplify]: iters left: 2 (250 enodes) 210.641 * * [simplify]: Extracting #0: cost 1 inf + 0 210.641 * * [simplify]: Extracting #1: cost 50 inf + 0 210.641 * * [simplify]: Extracting #2: cost 133 inf + 0 210.642 * * [simplify]: Extracting #3: cost 193 inf + 3 210.643 * * [simplify]: Extracting #4: cost 169 inf + 5895 210.649 * * [simplify]: Extracting #5: cost 64 inf + 51254 210.661 * * [simplify]: Extracting #6: cost 1 inf + 82300 210.688 * * [simplify]: Extracting #7: cost 0 inf + 81099 210.711 * * [simplify]: Extracting #8: cost 0 inf + 80557 210.735 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 210.735 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 210.735 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 210.736 * * [simplify]: iters left: 6 (13 enodes) 210.742 * * [simplify]: iters left: 5 (53 enodes) 210.760 * * [simplify]: iters left: 4 (82 enodes) 210.785 * * [simplify]: iters left: 3 (129 enodes) 210.832 * * [simplify]: iters left: 2 (245 enodes) 210.899 * * [simplify]: Extracting #0: cost 1 inf + 0 210.899 * * [simplify]: Extracting #1: cost 50 inf + 0 210.899 * * [simplify]: Extracting #2: cost 132 inf + 0 210.900 * * [simplify]: Extracting #3: cost 196 inf + 2 210.901 * * [simplify]: Extracting #4: cost 179 inf + 2904 210.904 * * [simplify]: Extracting #5: cost 129 inf + 13116 210.917 * * [simplify]: Extracting #6: cost 48 inf + 60547 210.942 * * [simplify]: Extracting #7: cost 4 inf + 95366 210.955 * * [simplify]: Extracting #8: cost 0 inf + 97062 210.967 * * [simplify]: Extracting #9: cost 0 inf + 96538 210.979 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 210.979 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 210.979 * * * * [progress]: [ 219 / 667 ] simplifiying candidate # 210.979 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 210.979 * * [simplify]: iters left: 6 (14 enodes) 210.985 * * [simplify]: iters left: 5 (55 enodes) 211.001 * * [simplify]: iters left: 4 (87 enodes) 211.029 * * [simplify]: iters left: 3 (146 enodes) 211.088 * * [simplify]: iters left: 2 (316 enodes) 211.262 * * [simplify]: Extracting #0: cost 1 inf + 0 211.262 * * [simplify]: Extracting #1: cost 71 inf + 0 211.263 * * [simplify]: Extracting #2: cost 156 inf + 1 211.263 * * [simplify]: Extracting #3: cost 198 inf + 4 211.264 * * [simplify]: Extracting #4: cost 210 inf + 11 211.266 * * [simplify]: Extracting #5: cost 178 inf + 4809 211.275 * * [simplify]: Extracting #6: cost 52 inf + 56583 211.292 * * [simplify]: Extracting #7: cost 1 inf + 83761 211.324 * * [simplify]: Extracting #8: cost 0 inf + 83978 211.362 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 211.362 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 211.362 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 211.362 * * [simplify]: iters left: 6 (13 enodes) 211.369 * * [simplify]: iters left: 5 (53 enodes) 211.388 * * [simplify]: iters left: 4 (90 enodes) 211.406 * * [simplify]: iters left: 3 (154 enodes) 211.442 * * [simplify]: iters left: 2 (332 enodes) 211.576 * * [simplify]: Extracting #0: cost 1 inf + 0 211.576 * * [simplify]: Extracting #1: cost 89 inf + 0 211.577 * * [simplify]: Extracting #2: cost 239 inf + 0 211.578 * * [simplify]: Extracting #3: cost 312 inf + 2 211.579 * * [simplify]: Extracting #4: cost 298 inf + 2814 211.582 * * [simplify]: Extracting #5: cost 250 inf + 12246 211.591 * * [simplify]: Extracting #6: cost 118 inf + 90187 211.625 * * [simplify]: Extracting #7: cost 4 inf + 176281 211.648 * * [simplify]: Extracting #8: cost 0 inf + 177118 211.691 * * [simplify]: Extracting #9: cost 0 inf + 176987 211.725 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 211.725 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 211.725 * * * * [progress]: [ 220 / 667 ] simplifiying candidate # 211.726 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 211.726 * * [simplify]: iters left: 6 (12 enodes) 211.729 * * [simplify]: iters left: 5 (49 enodes) 211.738 * * [simplify]: iters left: 4 (78 enodes) 211.759 * * [simplify]: iters left: 3 (129 enodes) 211.801 * * [simplify]: iters left: 2 (250 enodes) 211.868 * * [simplify]: Extracting #0: cost 1 inf + 0 211.869 * * [simplify]: Extracting #1: cost 50 inf + 0 211.869 * * [simplify]: Extracting #2: cost 133 inf + 0 211.870 * * [simplify]: Extracting #3: cost 193 inf + 3 211.871 * * [simplify]: Extracting #4: cost 169 inf + 5895 211.877 * * [simplify]: Extracting #5: cost 64 inf + 51254 211.896 * * [simplify]: Extracting #6: cost 1 inf + 82300 211.911 * * [simplify]: Extracting #7: cost 0 inf + 81099 211.923 * * [simplify]: Extracting #8: cost 0 inf + 80557 211.934 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 211.934 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 211.934 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 211.934 * * [simplify]: iters left: 6 (13 enodes) 211.938 * * [simplify]: iters left: 5 (53 enodes) 211.947 * * [simplify]: iters left: 4 (82 enodes) 211.964 * * [simplify]: iters left: 3 (129 enodes) 211.990 * * [simplify]: iters left: 2 (245 enodes) 212.071 * * [simplify]: Extracting #0: cost 1 inf + 0 212.071 * * [simplify]: Extracting #1: cost 50 inf + 0 212.072 * * [simplify]: Extracting #2: cost 132 inf + 0 212.073 * * [simplify]: Extracting #3: cost 196 inf + 2 212.075 * * [simplify]: Extracting #4: cost 179 inf + 2904 212.083 * * [simplify]: Extracting #5: cost 129 inf + 13116 212.096 * * [simplify]: Extracting #6: cost 48 inf + 60547 212.118 * * [simplify]: Extracting #7: cost 4 inf + 95366 212.142 * * [simplify]: Extracting #8: cost 0 inf + 97062 212.156 * * [simplify]: Extracting #9: cost 0 inf + 96538 212.168 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 212.168 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 212.168 * * * * [progress]: [ 221 / 667 ] simplifiying candidate # 212.168 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 212.169 * * [simplify]: iters left: 6 (13 enodes) 212.174 * * [simplify]: iters left: 5 (52 enodes) 212.184 * * [simplify]: iters left: 4 (84 enodes) 212.213 * * [simplify]: iters left: 3 (141 enodes) 212.268 * * [simplify]: iters left: 2 (308 enodes) 212.405 * * [simplify]: Extracting #0: cost 1 inf + 0 212.405 * * [simplify]: Extracting #1: cost 70 inf + 0 212.406 * * [simplify]: Extracting #2: cost 182 inf + 1 212.408 * * [simplify]: Extracting #3: cost 223 inf + 4 212.410 * * [simplify]: Extracting #4: cost 235 inf + 11 212.412 * * [simplify]: Extracting #5: cost 196 inf + 6312 212.420 * * [simplify]: Extracting #6: cost 56 inf + 71698 212.444 * * [simplify]: Extracting #7: cost 1 inf + 102854 212.478 * * [simplify]: Extracting #8: cost 0 inf + 101598 212.517 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 212.517 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 212.518 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 212.518 * * [simplify]: iters left: 6 (13 enodes) 212.525 * * [simplify]: iters left: 5 (53 enodes) 212.544 * * [simplify]: iters left: 4 (90 enodes) 212.573 * * [simplify]: iters left: 3 (154 enodes) 212.631 * * [simplify]: iters left: 2 (332 enodes) 212.805 * * [simplify]: Extracting #0: cost 1 inf + 0 212.805 * * [simplify]: Extracting #1: cost 89 inf + 0 212.807 * * [simplify]: Extracting #2: cost 239 inf + 0 212.809 * * [simplify]: Extracting #3: cost 312 inf + 2 212.812 * * [simplify]: Extracting #4: cost 298 inf + 2814 212.817 * * [simplify]: Extracting #5: cost 250 inf + 12246 212.836 * * [simplify]: Extracting #6: cost 118 inf + 90187 212.876 * * [simplify]: Extracting #7: cost 4 inf + 176281 212.922 * * [simplify]: Extracting #8: cost 0 inf + 177118 212.957 * * [simplify]: Extracting #9: cost 0 inf + 176987 212.980 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 212.980 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 212.980 * * * * [progress]: [ 222 / 667 ] simplifiying candidate # 212.980 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 212.980 * * [simplify]: iters left: 6 (12 enodes) 212.984 * * [simplify]: iters left: 5 (49 enodes) 212.993 * * [simplify]: iters left: 4 (78 enodes) 213.009 * * [simplify]: iters left: 3 (129 enodes) 213.056 * * [simplify]: iters left: 2 (250 enodes) 213.161 * * [simplify]: Extracting #0: cost 1 inf + 0 213.162 * * [simplify]: Extracting #1: cost 50 inf + 0 213.162 * * [simplify]: Extracting #2: cost 133 inf + 0 213.163 * * [simplify]: Extracting #3: cost 193 inf + 3 213.166 * * [simplify]: Extracting #4: cost 169 inf + 5895 213.177 * * [simplify]: Extracting #5: cost 64 inf + 51254 213.204 * * [simplify]: Extracting #6: cost 1 inf + 82300 213.219 * * [simplify]: Extracting #7: cost 0 inf + 81099 213.231 * * [simplify]: Extracting #8: cost 0 inf + 80557 213.247 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 213.247 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 213.247 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 213.248 * * [simplify]: iters left: 6 (13 enodes) 213.255 * * [simplify]: iters left: 5 (53 enodes) 213.273 * * [simplify]: iters left: 4 (82 enodes) 213.299 * * [simplify]: iters left: 3 (129 enodes) 213.347 * * [simplify]: iters left: 2 (245 enodes) 213.453 * * [simplify]: Extracting #0: cost 1 inf + 0 213.453 * * [simplify]: Extracting #1: cost 50 inf + 0 213.454 * * [simplify]: Extracting #2: cost 132 inf + 0 213.460 * * [simplify]: Extracting #3: cost 196 inf + 2 213.462 * * [simplify]: Extracting #4: cost 179 inf + 2904 213.466 * * [simplify]: Extracting #5: cost 129 inf + 13116 213.479 * * [simplify]: Extracting #6: cost 48 inf + 60547 213.500 * * [simplify]: Extracting #7: cost 4 inf + 95366 213.512 * * [simplify]: Extracting #8: cost 0 inf + 97062 213.524 * * [simplify]: Extracting #9: cost 0 inf + 96538 213.545 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 213.545 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 213.545 * * * * [progress]: [ 223 / 667 ] simplifiying candidate # 213.545 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 1) 213.545 * * [simplify]: iters left: 6 (12 enodes) 213.553 * * [simplify]: iters left: 5 (47 enodes) 213.569 * * [simplify]: iters left: 4 (80 enodes) 213.599 * * [simplify]: iters left: 3 (145 enodes) 213.658 * * [simplify]: iters left: 2 (337 enodes) 213.917 * * [simplify]: Extracting #0: cost 1 inf + 0 213.917 * * [simplify]: Extracting #1: cost 69 inf + 0 213.918 * * [simplify]: Extracting #2: cost 185 inf + 1 213.920 * * [simplify]: Extracting #3: cost 227 inf + 4 213.922 * * [simplify]: Extracting #4: cost 238 inf + 11 213.925 * * [simplify]: Extracting #5: cost 205 inf + 4926 213.935 * * [simplify]: Extracting #6: cost 120 inf + 40294 213.967 * * [simplify]: Extracting #7: cost 38 inf + 95276 214.001 * * [simplify]: Extracting #8: cost 0 inf + 119183 214.025 * * [simplify]: Extracting #9: cost 0 inf + 117713 214.042 * * [simplify]: Extracting #10: cost 0 inf + 117451 214.077 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 214.077 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 214.078 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 214.078 * * [simplify]: iters left: 6 (13 enodes) 214.085 * * [simplify]: iters left: 5 (53 enodes) 214.105 * * [simplify]: iters left: 4 (90 enodes) 214.134 * * [simplify]: iters left: 3 (154 enodes) 214.176 * * [simplify]: iters left: 2 (332 enodes) 214.305 * * [simplify]: Extracting #0: cost 1 inf + 0 214.306 * * [simplify]: Extracting #1: cost 89 inf + 0 214.307 * * [simplify]: Extracting #2: cost 239 inf + 0 214.313 * * [simplify]: Extracting #3: cost 312 inf + 2 214.315 * * [simplify]: Extracting #4: cost 298 inf + 2814 214.321 * * [simplify]: Extracting #5: cost 250 inf + 12246 214.340 * * [simplify]: Extracting #6: cost 118 inf + 90187 214.369 * * [simplify]: Extracting #7: cost 4 inf + 176281 214.393 * * [simplify]: Extracting #8: cost 0 inf + 177118 214.427 * * [simplify]: Extracting #9: cost 0 inf + 176987 214.461 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 214.461 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 214.462 * * * * [progress]: [ 224 / 667 ] simplifiying candidate # 214.462 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 214.462 * * [simplify]: iters left: 6 (14 enodes) 214.469 * * [simplify]: iters left: 5 (57 enodes) 214.479 * * [simplify]: iters left: 4 (89 enodes) 214.494 * * [simplify]: iters left: 3 (151 enodes) 214.560 * * [simplify]: iters left: 2 (353 enodes) 214.749 * * [simplify]: Extracting #0: cost 1 inf + 0 214.749 * * [simplify]: Extracting #1: cost 85 inf + 0 214.750 * * [simplify]: Extracting #2: cost 221 inf + 1 214.751 * * [simplify]: Extracting #3: cost 264 inf + 4 214.752 * * [simplify]: Extracting #4: cost 276 inf + 11 214.754 * * [simplify]: Extracting #5: cost 246 inf + 6079 214.763 * * [simplify]: Extracting #6: cost 101 inf + 77766 214.791 * * [simplify]: Extracting #7: cost 7 inf + 143626 214.834 * * [simplify]: Extracting #8: cost 0 inf + 148310 214.881 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 214.881 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 214.881 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 214.882 * * [simplify]: iters left: 6 (13 enodes) 214.889 * * [simplify]: iters left: 5 (53 enodes) 214.906 * * [simplify]: iters left: 4 (90 enodes) 214.936 * * [simplify]: iters left: 3 (154 enodes) 214.997 * * [simplify]: iters left: 2 (332 enodes) 215.151 * * [simplify]: Extracting #0: cost 1 inf + 0 215.151 * * [simplify]: Extracting #1: cost 89 inf + 0 215.152 * * [simplify]: Extracting #2: cost 240 inf + 0 215.154 * * [simplify]: Extracting #3: cost 313 inf + 2 215.157 * * [simplify]: Extracting #4: cost 300 inf + 2125 215.163 * * [simplify]: Extracting #5: cost 243 inf + 15252 215.184 * * [simplify]: Extracting #6: cost 46 inf + 154248 215.207 * * [simplify]: Extracting #7: cost 1 inf + 184886 215.237 * * [simplify]: Extracting #8: cost 0 inf + 183035 215.269 * * [simplify]: Extracting #9: cost 0 inf + 182773 215.292 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 215.292 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 215.292 * * * * [progress]: [ 225 / 667 ] simplifiying candidate # 215.292 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 215.292 * * [simplify]: iters left: 6 (14 enodes) 215.298 * * [simplify]: iters left: 5 (56 enodes) 215.309 * * [simplify]: iters left: 4 (84 enodes) 215.336 * * [simplify]: iters left: 3 (138 enodes) 215.363 * * [simplify]: iters left: 2 (284 enodes) 215.496 * * [simplify]: Extracting #0: cost 1 inf + 0 215.497 * * [simplify]: Extracting #1: cost 60 inf + 0 215.498 * * [simplify]: Extracting #2: cost 151 inf + 1 215.499 * * [simplify]: Extracting #3: cost 194 inf + 4 215.500 * * [simplify]: Extracting #4: cost 206 inf + 11 215.503 * * [simplify]: Extracting #5: cost 180 inf + 4217 215.507 * * [simplify]: Extracting #6: cost 134 inf + 11273 215.519 * * [simplify]: Extracting #7: cost 53 inf + 61502 215.534 * * [simplify]: Extracting #8: cost 1 inf + 98037 215.548 * * [simplify]: Extracting #9: cost 0 inf + 97865 215.574 * * [simplify]: Extracting #10: cost 0 inf + 97654 215.600 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) 215.600 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 215.601 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 215.601 * * [simplify]: iters left: 6 (14 enodes) 215.608 * * [simplify]: iters left: 5 (56 enodes) 215.627 * * [simplify]: iters left: 4 (93 enodes) 215.656 * * [simplify]: iters left: 3 (157 enodes) 215.718 * * [simplify]: iters left: 2 (335 enodes) 215.846 * * [simplify]: Extracting #0: cost 1 inf + 0 215.847 * * [simplify]: Extracting #1: cost 90 inf + 0 215.847 * * [simplify]: Extracting #2: cost 242 inf + 0 215.848 * * [simplify]: Extracting #3: cost 312 inf + 2 215.850 * * [simplify]: Extracting #4: cost 309 inf + 787 215.853 * * [simplify]: Extracting #5: cost 237 inf + 23661 215.885 * * [simplify]: Extracting #6: cost 44 inf + 154087 215.931 * * [simplify]: Extracting #7: cost 0 inf + 187878 215.955 * * [simplify]: Extracting #8: cost 0 inf + 187202 215.992 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) 215.992 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))))) 215.992 * * * * [progress]: [ 226 / 667 ] simplifiying candidate # 215.993 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 215.993 * * [simplify]: iters left: 6 (14 enodes) 215.999 * * [simplify]: iters left: 5 (56 enodes) 216.008 * * [simplify]: iters left: 4 (84 enodes) 216.033 * * [simplify]: iters left: 3 (138 enodes) 216.063 * * [simplify]: iters left: 2 (284 enodes) 216.212 * * [simplify]: Extracting #0: cost 1 inf + 0 216.212 * * [simplify]: Extracting #1: cost 60 inf + 0 216.213 * * [simplify]: Extracting #2: cost 150 inf + 1 216.214 * * [simplify]: Extracting #3: cost 193 inf + 4 216.215 * * [simplify]: Extracting #4: cost 206 inf + 11 216.219 * * [simplify]: Extracting #5: cost 180 inf + 4217 216.221 * * [simplify]: Extracting #6: cost 134 inf + 11273 216.228 * * [simplify]: Extracting #7: cost 53 inf + 61502 216.240 * * [simplify]: Extracting #8: cost 1 inf + 98037 216.253 * * [simplify]: Extracting #9: cost 0 inf + 97865 216.266 * * [simplify]: Extracting #10: cost 0 inf + 97654 216.279 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) 216.279 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 216.280 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 216.280 * * [simplify]: iters left: 6 (15 enodes) 216.286 * * [simplify]: iters left: 5 (59 enodes) 216.296 * * [simplify]: iters left: 4 (96 enodes) 216.314 * * [simplify]: iters left: 3 (164 enodes) 216.366 * * [simplify]: iters left: 2 (347 enodes) 216.510 * * [simplify]: Extracting #0: cost 1 inf + 0 216.510 * * [simplify]: Extracting #1: cost 88 inf + 0 216.511 * * [simplify]: Extracting #2: cost 243 inf + 0 216.512 * * [simplify]: Extracting #3: cost 313 inf + 2 216.517 * * [simplify]: Extracting #4: cost 298 inf + 3266 216.521 * * [simplify]: Extracting #5: cost 200 inf + 42070 216.558 * * [simplify]: Extracting #6: cost 28 inf + 163627 216.607 * * [simplify]: Extracting #7: cost 0 inf + 185610 216.648 * * [simplify]: Extracting #8: cost 0 inf + 185413 216.683 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 216.683 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 216.684 * * * * [progress]: [ 227 / 667 ] simplifiying candidate # 216.684 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 216.684 * * [simplify]: iters left: 6 (13 enodes) 216.693 * * [simplify]: iters left: 5 (52 enodes) 216.710 * * [simplify]: iters left: 4 (80 enodes) 216.732 * * [simplify]: iters left: 3 (134 enodes) 216.760 * * [simplify]: iters left: 2 (280 enodes) 216.894 * * [simplify]: Extracting #0: cost 1 inf + 0 216.894 * * [simplify]: Extracting #1: cost 58 inf + 0 216.895 * * [simplify]: Extracting #2: cost 149 inf + 1 216.897 * * [simplify]: Extracting #3: cost 190 inf + 4 216.898 * * [simplify]: Extracting #4: cost 202 inf + 11 216.901 * * [simplify]: Extracting #5: cost 178 inf + 4235 216.915 * * [simplify]: Extracting #6: cost 56 inf + 62396 216.927 * * [simplify]: Extracting #7: cost 0 inf + 92380 216.940 * * [simplify]: Extracting #8: cost 0 inf + 91980 216.962 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 216.962 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 216.963 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 216.963 * * [simplify]: iters left: 6 (13 enodes) 216.970 * * [simplify]: iters left: 5 (53 enodes) 216.988 * * [simplify]: iters left: 4 (90 enodes) 217.016 * * [simplify]: iters left: 3 (154 enodes) 217.046 * * [simplify]: iters left: 2 (332 enodes) 217.178 * * [simplify]: Extracting #0: cost 1 inf + 0 217.178 * * [simplify]: Extracting #1: cost 89 inf + 0 217.179 * * [simplify]: Extracting #2: cost 240 inf + 0 217.181 * * [simplify]: Extracting #3: cost 313 inf + 2 217.184 * * [simplify]: Extracting #4: cost 300 inf + 2125 217.192 * * [simplify]: Extracting #5: cost 243 inf + 14972 217.208 * * [simplify]: Extracting #6: cost 46 inf + 150408 217.238 * * [simplify]: Extracting #7: cost 1 inf + 179846 217.275 * * [simplify]: Extracting #8: cost 0 inf + 177955 217.299 * * [simplify]: Extracting #9: cost 0 inf + 177693 217.345 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 217.345 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 217.346 * * * * [progress]: [ 228 / 667 ] simplifiying candidate # 217.346 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (sqrt (sqrt 1))) 217.346 * * [simplify]: iters left: 6 (11 enodes) 217.356 * * [simplify]: iters left: 5 (46 enodes) 217.371 * * [simplify]: iters left: 4 (74 enodes) 217.383 * * [simplify]: iters left: 3 (115 enodes) 217.404 * * [simplify]: iters left: 2 (222 enodes) 217.477 * * [simplify]: Extracting #0: cost 1 inf + 0 217.477 * * [simplify]: Extracting #1: cost 34 inf + 0 217.477 * * [simplify]: Extracting #2: cost 98 inf + 3 217.478 * * [simplify]: Extracting #3: cost 135 inf + 6 217.478 * * [simplify]: Extracting #4: cost 118 inf + 1918 217.482 * * [simplify]: Extracting #5: cost 64 inf + 10755 217.491 * * [simplify]: Extracting #6: cost 11 inf + 39853 217.503 * * [simplify]: Extracting #7: cost 0 inf + 45674 217.515 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 217.515 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 217.515 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 217.515 * * [simplify]: iters left: 6 (12 enodes) 217.522 * * [simplify]: iters left: 5 (50 enodes) 217.543 * * [simplify]: iters left: 4 (75 enodes) 217.567 * * [simplify]: iters left: 3 (127 enodes) 217.614 * * [simplify]: iters left: 2 (264 enodes) 217.701 * * [simplify]: Extracting #0: cost 1 inf + 0 217.701 * * [simplify]: Extracting #1: cost 50 inf + 0 217.702 * * [simplify]: Extracting #2: cost 131 inf + 0 217.703 * * [simplify]: Extracting #3: cost 191 inf + 125 217.705 * * [simplify]: Extracting #4: cost 178 inf + 2744 217.711 * * [simplify]: Extracting #5: cost 112 inf + 21978 217.731 * * [simplify]: Extracting #6: cost 9 inf + 85058 217.754 * * [simplify]: Extracting #7: cost 0 inf + 91019 217.766 * * [simplify]: Extracting #8: cost 0 inf + 90978 217.780 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 217.780 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 217.780 * * * * [progress]: [ 229 / 667 ] simplifiying candidate # 217.780 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 217.780 * * [simplify]: iters left: 6 (13 enodes) 217.787 * * [simplify]: iters left: 5 (52 enodes) 217.804 * * [simplify]: iters left: 4 (80 enodes) 217.829 * * [simplify]: iters left: 3 (134 enodes) 217.880 * * [simplify]: iters left: 2 (280 enodes) 217.988 * * [simplify]: Extracting #0: cost 1 inf + 0 217.988 * * [simplify]: Extracting #1: cost 58 inf + 0 217.989 * * [simplify]: Extracting #2: cost 149 inf + 1 217.991 * * [simplify]: Extracting #3: cost 190 inf + 4 217.996 * * [simplify]: Extracting #4: cost 202 inf + 11 217.999 * * [simplify]: Extracting #5: cost 178 inf + 4235 218.013 * * [simplify]: Extracting #6: cost 56 inf + 62396 218.038 * * [simplify]: Extracting #7: cost 0 inf + 92380 218.063 * * [simplify]: Extracting #8: cost 0 inf + 91980 218.081 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 218.081 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 218.082 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 218.082 * * [simplify]: iters left: 6 (13 enodes) 218.086 * * [simplify]: iters left: 5 (53 enodes) 218.096 * * [simplify]: iters left: 4 (90 enodes) 218.111 * * [simplify]: iters left: 3 (154 enodes) 218.161 * * [simplify]: iters left: 2 (332 enodes) 218.277 * * [simplify]: Extracting #0: cost 1 inf + 0 218.278 * * [simplify]: Extracting #1: cost 89 inf + 0 218.278 * * [simplify]: Extracting #2: cost 240 inf + 0 218.280 * * [simplify]: Extracting #3: cost 313 inf + 2 218.283 * * [simplify]: Extracting #4: cost 300 inf + 2125 218.288 * * [simplify]: Extracting #5: cost 243 inf + 14972 218.319 * * [simplify]: Extracting #6: cost 46 inf + 150408 218.344 * * [simplify]: Extracting #7: cost 1 inf + 179846 218.389 * * [simplify]: Extracting #8: cost 0 inf + 177955 218.435 * * [simplify]: Extracting #9: cost 0 inf + 177693 218.482 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 218.482 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 218.482 * * * * [progress]: [ 230 / 667 ] simplifiying candidate # 218.483 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (sqrt 1)) 218.483 * * [simplify]: iters left: 6 (10 enodes) 218.490 * * [simplify]: iters left: 5 (43 enodes) 218.505 * * [simplify]: iters left: 4 (71 enodes) 218.516 * * [simplify]: iters left: 3 (112 enodes) 218.539 * * [simplify]: iters left: 2 (215 enodes) 218.639 * * [simplify]: iters left: 1 (494 enodes) 219.048 * * [simplify]: Extracting #0: cost 1 inf + 0 219.049 * * [simplify]: Extracting #1: cost 56 inf + 0 219.049 * * [simplify]: Extracting #2: cost 181 inf + 3 219.050 * * [simplify]: Extracting #3: cost 241 inf + 8 219.052 * * [simplify]: Extracting #4: cost 228 inf + 1426 219.055 * * [simplify]: Extracting #5: cost 152 inf + 10231 219.063 * * [simplify]: Extracting #6: cost 66 inf + 64247 219.081 * * [simplify]: Extracting #7: cost 0 inf + 112175 219.108 * * [simplify]: Extracting #8: cost 0 inf + 110960 219.127 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 219.127 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 219.127 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 219.127 * * [simplify]: iters left: 6 (12 enodes) 219.131 * * [simplify]: iters left: 5 (50 enodes) 219.148 * * [simplify]: iters left: 4 (75 enodes) 219.172 * * [simplify]: iters left: 3 (127 enodes) 219.218 * * [simplify]: iters left: 2 (264 enodes) 219.291 * * [simplify]: Extracting #0: cost 1 inf + 0 219.291 * * [simplify]: Extracting #1: cost 50 inf + 0 219.292 * * [simplify]: Extracting #2: cost 131 inf + 0 219.292 * * [simplify]: Extracting #3: cost 191 inf + 125 219.293 * * [simplify]: Extracting #4: cost 178 inf + 2744 219.296 * * [simplify]: Extracting #5: cost 112 inf + 21978 219.306 * * [simplify]: Extracting #6: cost 9 inf + 85058 219.317 * * [simplify]: Extracting #7: cost 0 inf + 91019 219.329 * * [simplify]: Extracting #8: cost 0 inf + 90978 219.343 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 219.343 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 219.343 * * * * [progress]: [ 231 / 667 ] simplifiying candidate # 219.343 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 219.343 * * [simplify]: iters left: 6 (13 enodes) 219.349 * * [simplify]: iters left: 5 (52 enodes) 219.366 * * [simplify]: iters left: 4 (80 enodes) 219.389 * * [simplify]: iters left: 3 (134 enodes) 219.419 * * [simplify]: iters left: 2 (280 enodes) 219.547 * * [simplify]: Extracting #0: cost 1 inf + 0 219.547 * * [simplify]: Extracting #1: cost 58 inf + 0 219.547 * * [simplify]: Extracting #2: cost 149 inf + 1 219.548 * * [simplify]: Extracting #3: cost 190 inf + 4 219.549 * * [simplify]: Extracting #4: cost 202 inf + 11 219.550 * * [simplify]: Extracting #5: cost 178 inf + 4235 219.557 * * [simplify]: Extracting #6: cost 56 inf + 62396 219.581 * * [simplify]: Extracting #7: cost 0 inf + 92380 219.607 * * [simplify]: Extracting #8: cost 0 inf + 91980 219.621 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 219.621 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 219.621 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 219.621 * * [simplify]: iters left: 6 (13 enodes) 219.625 * * [simplify]: iters left: 5 (53 enodes) 219.635 * * [simplify]: iters left: 4 (90 enodes) 219.658 * * [simplify]: iters left: 3 (154 enodes) 219.694 * * [simplify]: iters left: 2 (332 enodes) 219.834 * * [simplify]: Extracting #0: cost 1 inf + 0 219.835 * * [simplify]: Extracting #1: cost 89 inf + 0 219.835 * * [simplify]: Extracting #2: cost 240 inf + 0 219.836 * * [simplify]: Extracting #3: cost 313 inf + 2 219.838 * * [simplify]: Extracting #4: cost 300 inf + 2125 219.841 * * [simplify]: Extracting #5: cost 243 inf + 14972 219.861 * * [simplify]: Extracting #6: cost 46 inf + 150408 219.900 * * [simplify]: Extracting #7: cost 1 inf + 179846 219.936 * * [simplify]: Extracting #8: cost 0 inf + 177955 219.960 * * [simplify]: Extracting #9: cost 0 inf + 177693 220.008 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 220.009 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 220.009 * * * * [progress]: [ 232 / 667 ] simplifiying candidate # 220.009 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 1) 220.009 * * [simplify]: iters left: 6 (10 enodes) 220.017 * * [simplify]: iters left: 5 (41 enodes) 220.028 * * [simplify]: iters left: 4 (69 enodes) 220.040 * * [simplify]: iters left: 3 (110 enodes) 220.064 * * [simplify]: iters left: 2 (213 enodes) 220.132 * * [simplify]: iters left: 1 (495 enodes) 220.561 * * [simplify]: Extracting #0: cost 1 inf + 0 220.562 * * [simplify]: Extracting #1: cost 57 inf + 0 220.563 * * [simplify]: Extracting #2: cost 187 inf + 3 220.565 * * [simplify]: Extracting #3: cost 249 inf + 8 220.568 * * [simplify]: Extracting #4: cost 228 inf + 2288 220.575 * * [simplify]: Extracting #5: cost 156 inf + 12577 220.593 * * [simplify]: Extracting #6: cost 80 inf + 60372 220.628 * * [simplify]: Extracting #7: cost 0 inf + 120346 220.661 * * [simplify]: Extracting #8: cost 0 inf + 118054 220.693 * * [simplify]: Extracting #9: cost 0 inf + 117923 220.713 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 220.713 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 220.713 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 220.713 * * [simplify]: iters left: 6 (12 enodes) 220.717 * * [simplify]: iters left: 5 (50 enodes) 220.726 * * [simplify]: iters left: 4 (75 enodes) 220.739 * * [simplify]: iters left: 3 (127 enodes) 220.784 * * [simplify]: iters left: 2 (264 enodes) 220.855 * * [simplify]: Extracting #0: cost 1 inf + 0 220.855 * * [simplify]: Extracting #1: cost 50 inf + 0 220.855 * * [simplify]: Extracting #2: cost 131 inf + 0 220.856 * * [simplify]: Extracting #3: cost 191 inf + 125 220.860 * * [simplify]: Extracting #4: cost 178 inf + 2744 220.863 * * [simplify]: Extracting #5: cost 112 inf + 21978 220.872 * * [simplify]: Extracting #6: cost 9 inf + 85058 220.893 * * [simplify]: Extracting #7: cost 0 inf + 91019 220.915 * * [simplify]: Extracting #8: cost 0 inf + 90978 220.928 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 220.928 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 220.928 * * * * [progress]: [ 233 / 667 ] simplifiying candidate # 220.928 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 220.929 * * [simplify]: iters left: 6 (14 enodes) 220.933 * * [simplify]: iters left: 5 (57 enodes) 220.945 * * [simplify]: iters left: 4 (99 enodes) 220.976 * * [simplify]: iters left: 3 (187 enodes) 221.028 * * [simplify]: iters left: 2 (499 enodes) 221.378 * * [simplify]: Extracting #0: cost 1 inf + 0 221.379 * * [simplify]: Extracting #1: cost 165 inf + 0 221.380 * * [simplify]: Extracting #2: cost 498 inf + 0 221.383 * * [simplify]: Extracting #3: cost 566 inf + 3 221.385 * * [simplify]: Extracting #4: cost 577 inf + 11 221.389 * * [simplify]: Extracting #5: cost 522 inf + 11987 221.411 * * [simplify]: Extracting #6: cost 253 inf + 178482 221.476 * * [simplify]: Extracting #7: cost 9 inf + 359195 221.538 * * [simplify]: Extracting #8: cost 0 inf + 358492 221.618 * * [simplify]: Extracting #9: cost 0 inf + 358230 221.703 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 221.703 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 221.703 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 221.703 * * [simplify]: iters left: 6 (14 enodes) 221.711 * * [simplify]: iters left: 5 (56 enodes) 221.731 * * [simplify]: iters left: 4 (93 enodes) 221.760 * * [simplify]: iters left: 3 (157 enodes) 221.816 * * [simplify]: iters left: 2 (335 enodes) 221.976 * * [simplify]: Extracting #0: cost 1 inf + 0 221.976 * * [simplify]: Extracting #1: cost 90 inf + 0 221.977 * * [simplify]: Extracting #2: cost 242 inf + 0 221.978 * * [simplify]: Extracting #3: cost 311 inf + 2 221.979 * * [simplify]: Extracting #4: cost 320 inf + 53 221.981 * * [simplify]: Extracting #5: cost 297 inf + 2836 221.984 * * [simplify]: Extracting #6: cost 229 inf + 21442 222.000 * * [simplify]: Extracting #7: cost 51 inf + 152140 222.025 * * [simplify]: Extracting #8: cost 1 inf + 194182 222.051 * * [simplify]: Extracting #9: cost 0 inf + 193127 222.076 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 222.076 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 222.076 * * * * [progress]: [ 234 / 667 ] simplifiying candidate # 222.076 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 222.077 * * [simplify]: iters left: 6 (15 enodes) 222.081 * * [simplify]: iters left: 5 (59 enodes) 222.092 * * [simplify]: iters left: 4 (96 enodes) 222.109 * * [simplify]: iters left: 3 (160 enodes) 222.160 * * [simplify]: iters left: 2 (338 enodes) 222.276 * * [simplify]: Extracting #0: cost 1 inf + 0 222.277 * * [simplify]: Extracting #1: cost 88 inf + 0 222.278 * * [simplify]: Extracting #2: cost 238 inf + 0 222.279 * * [simplify]: Extracting #3: cost 304 inf + 3 222.281 * * [simplify]: Extracting #4: cost 315 inf + 11 222.283 * * [simplify]: Extracting #5: cost 271 inf + 6982 222.290 * * [simplify]: Extracting #6: cost 142 inf + 78584 222.312 * * [simplify]: Extracting #7: cost 14 inf + 168344 222.359 * * [simplify]: Extracting #8: cost 0 inf + 176126 222.402 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 222.402 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 222.402 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 222.403 * * [simplify]: iters left: 6 (15 enodes) 222.411 * * [simplify]: iters left: 5 (59 enodes) 222.430 * * [simplify]: iters left: 4 (96 enodes) 222.461 * * [simplify]: iters left: 3 (164 enodes) 222.502 * * [simplify]: iters left: 2 (347 enodes) 222.628 * * [simplify]: Extracting #0: cost 1 inf + 0 222.628 * * [simplify]: Extracting #1: cost 88 inf + 0 222.629 * * [simplify]: Extracting #2: cost 243 inf + 0 222.630 * * [simplify]: Extracting #3: cost 312 inf + 2 222.631 * * [simplify]: Extracting #4: cost 324 inf + 53 222.633 * * [simplify]: Extracting #5: cost 305 inf + 1778 222.637 * * [simplify]: Extracting #6: cost 205 inf + 38599 222.658 * * [simplify]: Extracting #7: cost 26 inf + 169625 222.701 * * [simplify]: Extracting #8: cost 0 inf + 188488 222.731 * * [simplify]: Extracting #9: cost 0 inf + 187753 222.779 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 222.779 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 222.780 * * * * [progress]: [ 235 / 667 ] simplifiying candidate # 222.780 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 222.780 * * [simplify]: iters left: 6 (16 enodes) 222.789 * * [simplify]: iters left: 5 (62 enodes) 222.808 * * [simplify]: iters left: 4 (95 enodes) 222.824 * * [simplify]: iters left: 3 (164 enodes) 222.859 * * [simplify]: iters left: 2 (363 enodes) 222.978 * * [simplify]: Extracting #0: cost 1 inf + 0 222.978 * * [simplify]: Extracting #1: cost 87 inf + 0 222.979 * * [simplify]: Extracting #2: cost 238 inf + 0 222.980 * * [simplify]: Extracting #3: cost 309 inf + 3 222.981 * * [simplify]: Extracting #4: cost 322 inf + 11 222.983 * * [simplify]: Extracting #5: cost 270 inf + 11930 223.005 * * [simplify]: Extracting #6: cost 59 inf + 119172 223.039 * * [simplify]: Extracting #7: cost 1 inf + 155216 223.065 * * [simplify]: Extracting #8: cost 0 inf + 154766 223.092 * * [simplify]: Extracting #9: cost 0 inf + 154514 223.128 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) 223.129 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 223.129 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 223.129 * * [simplify]: iters left: 6 (16 enodes) 223.137 * * [simplify]: iters left: 5 (62 enodes) 223.157 * * [simplify]: iters left: 4 (99 enodes) 223.185 * * [simplify]: iters left: 3 (163 enodes) 223.222 * * [simplify]: iters left: 2 (341 enodes) 223.362 * * [simplify]: Extracting #0: cost 1 inf + 0 223.363 * * [simplify]: Extracting #1: cost 89 inf + 0 223.364 * * [simplify]: Extracting #2: cost 240 inf + 0 223.366 * * [simplify]: Extracting #3: cost 310 inf + 2 223.368 * * [simplify]: Extracting #4: cost 320 inf + 53 223.371 * * [simplify]: Extracting #5: cost 297 inf + 2399 223.383 * * [simplify]: Extracting #6: cost 181 inf + 56609 223.427 * * [simplify]: Extracting #7: cost 25 inf + 174324 223.477 * * [simplify]: Extracting #8: cost 0 inf + 194132 223.512 * * [simplify]: Extracting #9: cost 0 inf + 193307 223.551 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))) 223.552 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))))) 223.552 * * * * [progress]: [ 236 / 667 ] simplifiying candidate # 223.554 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 223.554 * * [simplify]: iters left: 6 (12 enodes) 223.561 * * [simplify]: iters left: 5 (49 enodes) 223.578 * * [simplify]: iters left: 4 (78 enodes) 223.603 * * [simplify]: iters left: 3 (129 enodes) 223.630 * * [simplify]: iters left: 2 (250 enodes) 223.688 * * [simplify]: Extracting #0: cost 1 inf + 0 223.689 * * [simplify]: Extracting #1: cost 50 inf + 0 223.689 * * [simplify]: Extracting #2: cost 133 inf + 0 223.690 * * [simplify]: Extracting #3: cost 193 inf + 3 223.691 * * [simplify]: Extracting #4: cost 169 inf + 5895 223.696 * * [simplify]: Extracting #5: cost 64 inf + 51254 223.718 * * [simplify]: Extracting #6: cost 1 inf + 82300 223.741 * * [simplify]: Extracting #7: cost 0 inf + 81099 223.756 * * [simplify]: Extracting #8: cost 0 inf + 80557 224.140 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 224.141 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 224.141 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 224.141 * * [simplify]: iters left: 6 (13 enodes) 224.145 * * [simplify]: iters left: 5 (53 enodes) 224.154 * * [simplify]: iters left: 4 (82 enodes) 224.168 * * [simplify]: iters left: 3 (129 enodes) 224.213 * * [simplify]: iters left: 2 (245 enodes) 224.300 * * [simplify]: Extracting #0: cost 1 inf + 0 224.300 * * [simplify]: Extracting #1: cost 50 inf + 0 224.301 * * [simplify]: Extracting #2: cost 132 inf + 0 224.302 * * [simplify]: Extracting #3: cost 196 inf + 2 224.304 * * [simplify]: Extracting #4: cost 179 inf + 2904 224.308 * * [simplify]: Extracting #5: cost 129 inf + 13116 224.321 * * [simplify]: Extracting #6: cost 48 inf + 60547 224.337 * * [simplify]: Extracting #7: cost 4 inf + 95366 224.349 * * [simplify]: Extracting #8: cost 0 inf + 97062 224.370 * * [simplify]: Extracting #9: cost 0 inf + 96538 224.394 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 224.394 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 224.394 * * * * [progress]: [ 237 / 667 ] simplifiying candidate # 224.395 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 224.395 * * [simplify]: iters left: 6 (14 enodes) 224.400 * * [simplify]: iters left: 5 (55 enodes) 224.410 * * [simplify]: iters left: 4 (87 enodes) 224.424 * * [simplify]: iters left: 3 (146 enodes) 224.470 * * [simplify]: iters left: 2 (316 enodes) 224.643 * * [simplify]: Extracting #0: cost 1 inf + 0 224.643 * * [simplify]: Extracting #1: cost 71 inf + 0 224.643 * * [simplify]: Extracting #2: cost 156 inf + 1 224.644 * * [simplify]: Extracting #3: cost 198 inf + 4 224.645 * * [simplify]: Extracting #4: cost 210 inf + 11 224.646 * * [simplify]: Extracting #5: cost 178 inf + 4809 224.655 * * [simplify]: Extracting #6: cost 52 inf + 56583 224.682 * * [simplify]: Extracting #7: cost 1 inf + 83761 224.704 * * [simplify]: Extracting #8: cost 0 inf + 83978 224.732 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 224.732 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 224.733 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 224.733 * * [simplify]: iters left: 6 (13 enodes) 224.740 * * [simplify]: iters left: 5 (53 enodes) 224.757 * * [simplify]: iters left: 4 (90 enodes) 224.780 * * [simplify]: iters left: 3 (154 enodes) 224.813 * * [simplify]: iters left: 2 (332 enodes) 224.954 * * [simplify]: Extracting #0: cost 1 inf + 0 224.954 * * [simplify]: Extracting #1: cost 89 inf + 0 224.955 * * [simplify]: Extracting #2: cost 239 inf + 0 224.956 * * [simplify]: Extracting #3: cost 312 inf + 2 224.958 * * [simplify]: Extracting #4: cost 298 inf + 2814 224.964 * * [simplify]: Extracting #5: cost 250 inf + 12246 224.973 * * [simplify]: Extracting #6: cost 118 inf + 90187 224.994 * * [simplify]: Extracting #7: cost 4 inf + 176281 225.035 * * [simplify]: Extracting #8: cost 0 inf + 177118 225.080 * * [simplify]: Extracting #9: cost 0 inf + 176987 225.119 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 225.119 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 225.119 * * * * [progress]: [ 238 / 667 ] simplifiying candidate # 225.119 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 225.120 * * [simplify]: iters left: 6 (12 enodes) 225.124 * * [simplify]: iters left: 5 (49 enodes) 225.132 * * [simplify]: iters left: 4 (78 enodes) 225.148 * * [simplify]: iters left: 3 (129 enodes) 225.177 * * [simplify]: iters left: 2 (250 enodes) 225.260 * * [simplify]: Extracting #0: cost 1 inf + 0 225.260 * * [simplify]: Extracting #1: cost 50 inf + 0 225.261 * * [simplify]: Extracting #2: cost 133 inf + 0 225.261 * * [simplify]: Extracting #3: cost 193 inf + 3 225.263 * * [simplify]: Extracting #4: cost 169 inf + 5895 225.274 * * [simplify]: Extracting #5: cost 64 inf + 51254 225.288 * * [simplify]: Extracting #6: cost 1 inf + 82300 225.302 * * [simplify]: Extracting #7: cost 0 inf + 81099 225.318 * * [simplify]: Extracting #8: cost 0 inf + 80557 225.341 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 225.341 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 225.342 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 225.342 * * [simplify]: iters left: 6 (13 enodes) 225.350 * * [simplify]: iters left: 5 (53 enodes) 225.367 * * [simplify]: iters left: 4 (82 enodes) 225.393 * * [simplify]: iters left: 3 (129 enodes) 225.438 * * [simplify]: iters left: 2 (245 enodes) 225.509 * * [simplify]: Extracting #0: cost 1 inf + 0 225.509 * * [simplify]: Extracting #1: cost 50 inf + 0 225.510 * * [simplify]: Extracting #2: cost 132 inf + 0 225.510 * * [simplify]: Extracting #3: cost 196 inf + 2 225.511 * * [simplify]: Extracting #4: cost 179 inf + 2904 225.514 * * [simplify]: Extracting #5: cost 129 inf + 13116 225.526 * * [simplify]: Extracting #6: cost 48 inf + 60547 225.542 * * [simplify]: Extracting #7: cost 4 inf + 95366 225.554 * * [simplify]: Extracting #8: cost 0 inf + 97062 225.573 * * [simplify]: Extracting #9: cost 0 inf + 96538 225.596 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 225.597 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 225.597 * * * * [progress]: [ 239 / 667 ] simplifiying candidate # 225.597 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 225.597 * * [simplify]: iters left: 6 (13 enodes) 225.606 * * [simplify]: iters left: 5 (52 enodes) 225.623 * * [simplify]: iters left: 4 (84 enodes) 225.649 * * [simplify]: iters left: 3 (141 enodes) 225.681 * * [simplify]: iters left: 2 (308 enodes) 225.795 * * [simplify]: Extracting #0: cost 1 inf + 0 225.795 * * [simplify]: Extracting #1: cost 70 inf + 0 225.795 * * [simplify]: Extracting #2: cost 182 inf + 1 225.796 * * [simplify]: Extracting #3: cost 223 inf + 4 225.797 * * [simplify]: Extracting #4: cost 235 inf + 11 225.799 * * [simplify]: Extracting #5: cost 196 inf + 6312 225.808 * * [simplify]: Extracting #6: cost 56 inf + 71698 225.832 * * [simplify]: Extracting #7: cost 1 inf + 102854 225.849 * * [simplify]: Extracting #8: cost 0 inf + 101598 225.867 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 225.867 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 225.867 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 225.867 * * [simplify]: iters left: 6 (13 enodes) 225.871 * * [simplify]: iters left: 5 (53 enodes) 225.883 * * [simplify]: iters left: 4 (90 enodes) 225.898 * * [simplify]: iters left: 3 (154 enodes) 225.937 * * [simplify]: iters left: 2 (332 enodes) 226.068 * * [simplify]: Extracting #0: cost 1 inf + 0 226.068 * * [simplify]: Extracting #1: cost 89 inf + 0 226.069 * * [simplify]: Extracting #2: cost 239 inf + 0 226.070 * * [simplify]: Extracting #3: cost 312 inf + 2 226.075 * * [simplify]: Extracting #4: cost 298 inf + 2814 226.078 * * [simplify]: Extracting #5: cost 250 inf + 12246 226.087 * * [simplify]: Extracting #6: cost 118 inf + 90187 226.109 * * [simplify]: Extracting #7: cost 4 inf + 176281 226.137 * * [simplify]: Extracting #8: cost 0 inf + 177118 226.169 * * [simplify]: Extracting #9: cost 0 inf + 176987 226.204 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 226.204 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 226.204 * * * * [progress]: [ 240 / 667 ] simplifiying candidate # 226.204 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 226.204 * * [simplify]: iters left: 6 (12 enodes) 226.209 * * [simplify]: iters left: 5 (49 enodes) 226.218 * * [simplify]: iters left: 4 (78 enodes) 226.231 * * [simplify]: iters left: 3 (129 enodes) 226.272 * * [simplify]: iters left: 2 (250 enodes) 226.369 * * [simplify]: Extracting #0: cost 1 inf + 0 226.369 * * [simplify]: Extracting #1: cost 50 inf + 0 226.369 * * [simplify]: Extracting #2: cost 133 inf + 0 226.370 * * [simplify]: Extracting #3: cost 193 inf + 3 226.371 * * [simplify]: Extracting #4: cost 169 inf + 5895 226.377 * * [simplify]: Extracting #5: cost 64 inf + 51254 226.394 * * [simplify]: Extracting #6: cost 1 inf + 82300 226.418 * * [simplify]: Extracting #7: cost 0 inf + 81099 226.430 * * [simplify]: Extracting #8: cost 0 inf + 80557 226.441 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 226.441 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 226.442 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 226.442 * * [simplify]: iters left: 6 (13 enodes) 226.446 * * [simplify]: iters left: 5 (53 enodes) 226.455 * * [simplify]: iters left: 4 (82 enodes) 226.477 * * [simplify]: iters left: 3 (129 enodes) 226.518 * * [simplify]: iters left: 2 (245 enodes) 226.600 * * [simplify]: Extracting #0: cost 1 inf + 0 226.601 * * [simplify]: Extracting #1: cost 50 inf + 0 226.601 * * [simplify]: Extracting #2: cost 132 inf + 0 226.601 * * [simplify]: Extracting #3: cost 196 inf + 2 226.603 * * [simplify]: Extracting #4: cost 179 inf + 2904 226.605 * * [simplify]: Extracting #5: cost 129 inf + 13116 226.611 * * [simplify]: Extracting #6: cost 48 inf + 60547 226.625 * * [simplify]: Extracting #7: cost 4 inf + 95366 226.637 * * [simplify]: Extracting #8: cost 0 inf + 97062 226.657 * * [simplify]: Extracting #9: cost 0 inf + 96538 226.677 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 226.677 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 226.677 * * * * [progress]: [ 241 / 667 ] simplifiying candidate # 226.678 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 1) 226.678 * * [simplify]: iters left: 6 (12 enodes) 226.684 * * [simplify]: iters left: 5 (47 enodes) 226.698 * * [simplify]: iters left: 4 (80 enodes) 226.725 * * [simplify]: iters left: 3 (145 enodes) 226.787 * * [simplify]: iters left: 2 (337 enodes) 226.997 * * [simplify]: Extracting #0: cost 1 inf + 0 226.998 * * [simplify]: Extracting #1: cost 69 inf + 0 226.998 * * [simplify]: Extracting #2: cost 185 inf + 1 226.999 * * [simplify]: Extracting #3: cost 227 inf + 4 227.000 * * [simplify]: Extracting #4: cost 238 inf + 11 227.001 * * [simplify]: Extracting #5: cost 205 inf + 4926 227.007 * * [simplify]: Extracting #6: cost 120 inf + 40294 227.034 * * [simplify]: Extracting #7: cost 38 inf + 95276 227.073 * * [simplify]: Extracting #8: cost 0 inf + 119183 227.103 * * [simplify]: Extracting #9: cost 0 inf + 117713 227.122 * * [simplify]: Extracting #10: cost 0 inf + 117451 227.157 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 227.157 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 227.157 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 227.157 * * [simplify]: iters left: 6 (13 enodes) 227.164 * * [simplify]: iters left: 5 (53 enodes) 227.182 * * [simplify]: iters left: 4 (90 enodes) 227.214 * * [simplify]: iters left: 3 (154 enodes) 227.248 * * [simplify]: iters left: 2 (332 enodes) 227.381 * * [simplify]: Extracting #0: cost 1 inf + 0 227.381 * * [simplify]: Extracting #1: cost 89 inf + 0 227.382 * * [simplify]: Extracting #2: cost 239 inf + 0 227.384 * * [simplify]: Extracting #3: cost 312 inf + 2 227.387 * * [simplify]: Extracting #4: cost 298 inf + 2814 227.390 * * [simplify]: Extracting #5: cost 250 inf + 12246 227.403 * * [simplify]: Extracting #6: cost 118 inf + 90187 227.424 * * [simplify]: Extracting #7: cost 4 inf + 176281 227.456 * * [simplify]: Extracting #8: cost 0 inf + 177118 227.483 * * [simplify]: Extracting #9: cost 0 inf + 176987 227.530 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 227.530 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 227.530 * * * * [progress]: [ 242 / 667 ] simplifiying candidate # 227.531 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 227.531 * * [simplify]: iters left: 6 (13 enodes) 227.538 * * [simplify]: iters left: 5 (52 enodes) 227.557 * * [simplify]: iters left: 4 (94 enodes) 227.591 * * [simplify]: iters left: 3 (194 enodes) 227.659 * * [simplify]: iters left: 2 (478 enodes) 228.050 * * [simplify]: Extracting #0: cost 1 inf + 0 228.050 * * [simplify]: Extracting #1: cost 104 inf + 0 228.052 * * [simplify]: Extracting #2: cost 327 inf + 1 228.056 * * [simplify]: Extracting #3: cost 369 inf + 4 228.059 * * [simplify]: Extracting #4: cost 379 inf + 11 228.066 * * [simplify]: Extracting #5: cost 301 inf + 22738 228.094 * * [simplify]: Extracting #6: cost 160 inf + 103082 228.147 * * [simplify]: Extracting #7: cost 15 inf + 216376 228.211 * * [simplify]: Extracting #8: cost 0 inf + 226237 228.286 * * [simplify]: Extracting #9: cost 0 inf + 226157 228.347 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 228.347 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 228.348 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 228.348 * * [simplify]: iters left: 6 (13 enodes) 228.352 * * [simplify]: iters left: 5 (53 enodes) 228.364 * * [simplify]: iters left: 4 (90 enodes) 228.385 * * [simplify]: iters left: 3 (154 enodes) 228.417 * * [simplify]: iters left: 2 (332 enodes) 228.534 * * [simplify]: Extracting #0: cost 1 inf + 0 228.534 * * [simplify]: Extracting #1: cost 89 inf + 0 228.535 * * [simplify]: Extracting #2: cost 240 inf + 0 228.537 * * [simplify]: Extracting #3: cost 313 inf + 2 228.539 * * [simplify]: Extracting #4: cost 300 inf + 2125 228.542 * * [simplify]: Extracting #5: cost 243 inf + 15252 228.557 * * [simplify]: Extracting #6: cost 46 inf + 154248 228.597 * * [simplify]: Extracting #7: cost 1 inf + 184886 228.636 * * [simplify]: Extracting #8: cost 0 inf + 183035 228.659 * * [simplify]: Extracting #9: cost 0 inf + 182773 228.683 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 228.683 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 228.683 * * * * [progress]: [ 243 / 667 ] simplifiying candidate # 228.683 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 228.683 * * [simplify]: iters left: 6 (13 enodes) 228.687 * * [simplify]: iters left: 5 (51 enodes) 228.704 * * [simplify]: iters left: 4 (85 enodes) 228.733 * * [simplify]: iters left: 3 (152 enodes) 228.777 * * [simplify]: iters left: 2 (340 enodes) 228.998 * * [simplify]: Extracting #0: cost 1 inf + 0 228.998 * * [simplify]: Extracting #1: cost 65 inf + 0 229.002 * * [simplify]: Extracting #2: cost 196 inf + 1 229.003 * * [simplify]: Extracting #3: cost 242 inf + 4 229.004 * * [simplify]: Extracting #4: cost 252 inf + 11 229.005 * * [simplify]: Extracting #5: cost 232 inf + 3061 229.008 * * [simplify]: Extracting #6: cost 159 inf + 21792 229.031 * * [simplify]: Extracting #7: cost 31 inf + 104687 229.068 * * [simplify]: Extracting #8: cost 0 inf + 129500 229.100 * * [simplify]: Extracting #9: cost 0 inf + 128996 229.120 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) 229.120 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 229.120 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 229.121 * * [simplify]: iters left: 6 (14 enodes) 229.129 * * [simplify]: iters left: 5 (56 enodes) 229.147 * * [simplify]: iters left: 4 (93 enodes) 229.176 * * [simplify]: iters left: 3 (157 enodes) 229.234 * * [simplify]: iters left: 2 (335 enodes) 229.408 * * [simplify]: Extracting #0: cost 1 inf + 0 229.408 * * [simplify]: Extracting #1: cost 90 inf + 0 229.409 * * [simplify]: Extracting #2: cost 242 inf + 0 229.412 * * [simplify]: Extracting #3: cost 312 inf + 2 229.414 * * [simplify]: Extracting #4: cost 309 inf + 787 229.421 * * [simplify]: Extracting #5: cost 237 inf + 23661 229.453 * * [simplify]: Extracting #6: cost 44 inf + 154087 229.500 * * [simplify]: Extracting #7: cost 0 inf + 187878 229.551 * * [simplify]: Extracting #8: cost 0 inf + 187202 229.575 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) 229.575 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))))) 229.575 * * * * [progress]: [ 244 / 667 ] simplifiying candidate # 229.575 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 229.575 * * [simplify]: iters left: 6 (13 enodes) 229.579 * * [simplify]: iters left: 5 (51 enodes) 229.593 * * [simplify]: iters left: 4 (85 enodes) 229.621 * * [simplify]: iters left: 3 (152 enodes) 229.659 * * [simplify]: iters left: 2 (340 enodes) 229.840 * * [simplify]: Extracting #0: cost 1 inf + 0 229.840 * * [simplify]: Extracting #1: cost 65 inf + 0 229.840 * * [simplify]: Extracting #2: cost 195 inf + 1 229.841 * * [simplify]: Extracting #3: cost 241 inf + 4 229.842 * * [simplify]: Extracting #4: cost 252 inf + 11 229.844 * * [simplify]: Extracting #5: cost 231 inf + 3222 229.847 * * [simplify]: Extracting #6: cost 158 inf + 21953 229.871 * * [simplify]: Extracting #7: cost 31 inf + 104687 229.909 * * [simplify]: Extracting #8: cost 0 inf + 129500 229.935 * * [simplify]: Extracting #9: cost 0 inf + 128996 229.954 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) 229.954 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 229.955 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 229.955 * * [simplify]: iters left: 6 (15 enodes) 229.959 * * [simplify]: iters left: 5 (59 enodes) 229.969 * * [simplify]: iters left: 4 (96 enodes) 229.999 * * [simplify]: iters left: 3 (164 enodes) 230.050 * * [simplify]: iters left: 2 (347 enodes) 230.158 * * [simplify]: Extracting #0: cost 1 inf + 0 230.158 * * [simplify]: Extracting #1: cost 88 inf + 0 230.159 * * [simplify]: Extracting #2: cost 243 inf + 0 230.160 * * [simplify]: Extracting #3: cost 313 inf + 2 230.162 * * [simplify]: Extracting #4: cost 298 inf + 3266 230.167 * * [simplify]: Extracting #5: cost 200 inf + 42070 230.202 * * [simplify]: Extracting #6: cost 28 inf + 163627 230.256 * * [simplify]: Extracting #7: cost 0 inf + 185610 230.303 * * [simplify]: Extracting #8: cost 0 inf + 185413 230.342 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 230.342 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 230.342 * * * * [progress]: [ 245 / 667 ] simplifiying candidate # 230.343 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) 1) (sqrt (sqrt (sqrt k)))) 230.343 * * [simplify]: iters left: 6 (12 enodes) 230.347 * * [simplify]: iters left: 5 (47 enodes) 230.355 * * [simplify]: iters left: 4 (81 enodes) 230.386 * * [simplify]: iters left: 3 (152 enodes) 230.448 * * [simplify]: iters left: 2 (341 enodes) 230.614 * * [simplify]: Extracting #0: cost 1 inf + 0 230.614 * * [simplify]: Extracting #1: cost 67 inf + 0 230.615 * * [simplify]: Extracting #2: cost 189 inf + 1 230.617 * * [simplify]: Extracting #3: cost 233 inf + 4 230.619 * * [simplify]: Extracting #4: cost 244 inf + 11 230.623 * * [simplify]: Extracting #5: cost 202 inf + 7514 230.650 * * [simplify]: Extracting #6: cost 27 inf + 89273 230.690 * * [simplify]: Extracting #7: cost 0 inf + 103817 230.729 * * [simplify]: Extracting #8: cost 0 inf + 102784 230.767 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 230.767 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 230.767 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 230.768 * * [simplify]: iters left: 6 (13 enodes) 230.775 * * [simplify]: iters left: 5 (53 enodes) 230.792 * * [simplify]: iters left: 4 (90 enodes) 230.823 * * [simplify]: iters left: 3 (154 enodes) 230.878 * * [simplify]: iters left: 2 (332 enodes) 231.023 * * [simplify]: Extracting #0: cost 1 inf + 0 231.023 * * [simplify]: Extracting #1: cost 89 inf + 0 231.024 * * [simplify]: Extracting #2: cost 240 inf + 0 231.026 * * [simplify]: Extracting #3: cost 313 inf + 2 231.029 * * [simplify]: Extracting #4: cost 300 inf + 2125 231.035 * * [simplify]: Extracting #5: cost 243 inf + 14972 231.070 * * [simplify]: Extracting #6: cost 46 inf + 150408 231.093 * * [simplify]: Extracting #7: cost 1 inf + 179846 231.132 * * [simplify]: Extracting #8: cost 0 inf + 177955 231.168 * * [simplify]: Extracting #9: cost 0 inf + 177693 231.201 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 231.201 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 231.201 * * * * [progress]: [ 246 / 667 ] simplifiying candidate # 231.202 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) 1) (sqrt (sqrt 1))) 231.202 * * [simplify]: iters left: 6 (11 enodes) 231.209 * * [simplify]: iters left: 5 (44 enodes) 231.216 * * [simplify]: iters left: 4 (71 enodes) 231.227 * * [simplify]: iters left: 3 (112 enodes) 231.250 * * [simplify]: iters left: 2 (215 enodes) 231.317 * * [simplify]: iters left: 1 (496 enodes) 231.707 * * [simplify]: Extracting #0: cost 1 inf + 0 231.708 * * [simplify]: Extracting #1: cost 60 inf + 0 231.709 * * [simplify]: Extracting #2: cost 191 inf + 3 231.711 * * [simplify]: Extracting #3: cost 254 inf + 8 231.714 * * [simplify]: Extracting #4: cost 239 inf + 1630 231.721 * * [simplify]: Extracting #5: cost 163 inf + 10693 231.731 * * [simplify]: Extracting #6: cost 83 inf + 58807 231.748 * * [simplify]: Extracting #7: cost 2 inf + 122429 231.776 * * [simplify]: Extracting #8: cost 0 inf + 122628 231.807 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 231.807 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 231.807 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 231.807 * * [simplify]: iters left: 6 (12 enodes) 231.811 * * [simplify]: iters left: 5 (50 enodes) 231.820 * * [simplify]: iters left: 4 (75 enodes) 231.837 * * [simplify]: iters left: 3 (127 enodes) 231.885 * * [simplify]: iters left: 2 (264 enodes) 231.953 * * [simplify]: Extracting #0: cost 1 inf + 0 231.954 * * [simplify]: Extracting #1: cost 50 inf + 0 231.954 * * [simplify]: Extracting #2: cost 131 inf + 0 231.954 * * [simplify]: Extracting #3: cost 191 inf + 125 231.955 * * [simplify]: Extracting #4: cost 178 inf + 2744 231.958 * * [simplify]: Extracting #5: cost 112 inf + 21978 231.968 * * [simplify]: Extracting #6: cost 9 inf + 85058 231.982 * * [simplify]: Extracting #7: cost 0 inf + 91019 231.997 * * [simplify]: Extracting #8: cost 0 inf + 90978 232.009 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 232.009 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 232.009 * * * * [progress]: [ 247 / 667 ] simplifiying candidate # 232.009 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) 1) (sqrt (sqrt (sqrt k)))) 232.009 * * [simplify]: iters left: 6 (12 enodes) 232.013 * * [simplify]: iters left: 5 (47 enodes) 232.021 * * [simplify]: iters left: 4 (81 enodes) 232.048 * * [simplify]: iters left: 3 (152 enodes) 232.109 * * [simplify]: iters left: 2 (341 enodes) 232.298 * * [simplify]: Extracting #0: cost 1 inf + 0 232.299 * * [simplify]: Extracting #1: cost 67 inf + 0 232.299 * * [simplify]: Extracting #2: cost 189 inf + 1 232.300 * * [simplify]: Extracting #3: cost 233 inf + 4 232.301 * * [simplify]: Extracting #4: cost 244 inf + 11 232.303 * * [simplify]: Extracting #5: cost 202 inf + 7514 232.314 * * [simplify]: Extracting #6: cost 27 inf + 89273 232.343 * * [simplify]: Extracting #7: cost 0 inf + 103817 232.382 * * [simplify]: Extracting #8: cost 0 inf + 102784 232.408 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 232.408 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 232.408 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 232.408 * * [simplify]: iters left: 6 (13 enodes) 232.412 * * [simplify]: iters left: 5 (53 enodes) 232.422 * * [simplify]: iters left: 4 (90 enodes) 232.445 * * [simplify]: iters left: 3 (154 enodes) 232.480 * * [simplify]: iters left: 2 (332 enodes) 232.629 * * [simplify]: Extracting #0: cost 1 inf + 0 232.629 * * [simplify]: Extracting #1: cost 89 inf + 0 232.630 * * [simplify]: Extracting #2: cost 240 inf + 0 232.632 * * [simplify]: Extracting #3: cost 313 inf + 2 232.635 * * [simplify]: Extracting #4: cost 300 inf + 2125 232.641 * * [simplify]: Extracting #5: cost 243 inf + 14972 232.659 * * [simplify]: Extracting #6: cost 46 inf + 150408 232.688 * * [simplify]: Extracting #7: cost 1 inf + 179846 232.734 * * [simplify]: Extracting #8: cost 0 inf + 177955 232.778 * * [simplify]: Extracting #9: cost 0 inf + 177693 232.826 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 232.826 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 232.826 * * * * [progress]: [ 248 / 667 ] simplifiying candidate # 232.826 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) 1) (sqrt 1)) 232.827 * * [simplify]: iters left: 6 (10 enodes) 232.834 * * [simplify]: iters left: 5 (41 enodes) 232.847 * * [simplify]: iters left: 4 (68 enodes) 232.859 * * [simplify]: iters left: 3 (109 enodes) 232.886 * * [simplify]: iters left: 2 (212 enodes) 232.966 * * [simplify]: iters left: 1 (496 enodes) 233.374 * * [simplify]: Extracting #0: cost 1 inf + 0 233.374 * * [simplify]: Extracting #1: cost 60 inf + 0 233.376 * * [simplify]: Extracting #2: cost 189 inf + 3 233.378 * * [simplify]: Extracting #3: cost 251 inf + 8 233.382 * * [simplify]: Extracting #4: cost 220 inf + 7376 233.398 * * [simplify]: Extracting #5: cost 57 inf + 82936 233.438 * * [simplify]: Extracting #6: cost 1 inf + 118098 233.483 * * [simplify]: Extracting #7: cost 0 inf + 117327 233.529 * * [simplify]: Extracting #8: cost 0 inf + 116967 233.560 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 233.560 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 233.560 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 233.560 * * [simplify]: iters left: 6 (12 enodes) 233.564 * * [simplify]: iters left: 5 (50 enodes) 233.574 * * [simplify]: iters left: 4 (75 enodes) 233.598 * * [simplify]: iters left: 3 (127 enodes) 233.630 * * [simplify]: iters left: 2 (264 enodes) 233.698 * * [simplify]: Extracting #0: cost 1 inf + 0 233.698 * * [simplify]: Extracting #1: cost 50 inf + 0 233.698 * * [simplify]: Extracting #2: cost 131 inf + 0 233.699 * * [simplify]: Extracting #3: cost 191 inf + 125 233.700 * * [simplify]: Extracting #4: cost 178 inf + 2744 233.703 * * [simplify]: Extracting #5: cost 112 inf + 21978 233.722 * * [simplify]: Extracting #6: cost 9 inf + 85058 233.740 * * [simplify]: Extracting #7: cost 0 inf + 91019 233.751 * * [simplify]: Extracting #8: cost 0 inf + 90978 233.765 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 233.766 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 233.766 * * * * [progress]: [ 249 / 667 ] simplifiying candidate # 233.766 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) 1) (sqrt (sqrt (sqrt k)))) 233.766 * * [simplify]: iters left: 6 (12 enodes) 233.770 * * [simplify]: iters left: 5 (47 enodes) 233.778 * * [simplify]: iters left: 4 (81 enodes) 233.800 * * [simplify]: iters left: 3 (152 enodes) 233.839 * * [simplify]: iters left: 2 (341 enodes) 234.040 * * [simplify]: Extracting #0: cost 1 inf + 0 234.040 * * [simplify]: Extracting #1: cost 67 inf + 0 234.041 * * [simplify]: Extracting #2: cost 189 inf + 1 234.043 * * [simplify]: Extracting #3: cost 233 inf + 4 234.045 * * [simplify]: Extracting #4: cost 244 inf + 11 234.049 * * [simplify]: Extracting #5: cost 202 inf + 7514 234.072 * * [simplify]: Extracting #6: cost 27 inf + 89273 234.112 * * [simplify]: Extracting #7: cost 0 inf + 103817 234.149 * * [simplify]: Extracting #8: cost 0 inf + 102784 234.183 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 234.183 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 234.183 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 234.184 * * [simplify]: iters left: 6 (13 enodes) 234.190 * * [simplify]: iters left: 5 (53 enodes) 234.199 * * [simplify]: iters left: 4 (90 enodes) 234.217 * * [simplify]: iters left: 3 (154 enodes) 234.275 * * [simplify]: iters left: 2 (332 enodes) 234.450 * * [simplify]: Extracting #0: cost 1 inf + 0 234.451 * * [simplify]: Extracting #1: cost 89 inf + 0 234.452 * * [simplify]: Extracting #2: cost 240 inf + 0 234.454 * * [simplify]: Extracting #3: cost 313 inf + 2 234.457 * * [simplify]: Extracting #4: cost 300 inf + 2125 234.462 * * [simplify]: Extracting #5: cost 243 inf + 14972 234.494 * * [simplify]: Extracting #6: cost 46 inf + 150408 234.537 * * [simplify]: Extracting #7: cost 1 inf + 179846 234.571 * * [simplify]: Extracting #8: cost 0 inf + 177955 234.600 * * [simplify]: Extracting #9: cost 0 inf + 177693 234.632 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 234.632 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 234.632 * * * * [progress]: [ 250 / 667 ] simplifiying candidate # 234.632 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) 1) 1) 234.632 * * [simplify]: iters left: 6 (9 enodes) 234.635 * * [simplify]: iters left: 5 (34 enodes) 234.642 * * [simplify]: iters left: 4 (63 enodes) 234.654 * * [simplify]: iters left: 3 (104 enodes) 234.679 * * [simplify]: iters left: 2 (206 enodes) 234.743 * * [simplify]: iters left: 1 (460 enodes) 235.025 * * [simplify]: Extracting #0: cost 1 inf + 0 235.025 * * [simplify]: Extracting #1: cost 50 inf + 0 235.025 * * [simplify]: Extracting #2: cost 172 inf + 3 235.026 * * [simplify]: Extracting #3: cost 231 inf + 8 235.028 * * [simplify]: Extracting #4: cost 206 inf + 3316 235.035 * * [simplify]: Extracting #5: cost 128 inf + 21101 235.047 * * [simplify]: Extracting #6: cost 31 inf + 88285 235.082 * * [simplify]: Extracting #7: cost 0 inf + 112209 235.119 * * [simplify]: Extracting #8: cost 0 inf + 109497 235.160 * * [simplify]: Extracting #9: cost 0 inf + 107231 235.201 * * [simplify]: Extracting #10: cost 0 inf + 106747 235.243 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 235.243 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 235.243 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 235.243 * * [simplify]: iters left: 6 (12 enodes) 235.250 * * [simplify]: iters left: 5 (50 enodes) 235.267 * * [simplify]: iters left: 4 (75 enodes) 235.291 * * [simplify]: iters left: 3 (127 enodes) 235.338 * * [simplify]: iters left: 2 (264 enodes) 235.422 * * [simplify]: Extracting #0: cost 1 inf + 0 235.423 * * [simplify]: Extracting #1: cost 50 inf + 0 235.423 * * [simplify]: Extracting #2: cost 131 inf + 0 235.424 * * [simplify]: Extracting #3: cost 191 inf + 125 235.425 * * [simplify]: Extracting #4: cost 178 inf + 2744 235.428 * * [simplify]: Extracting #5: cost 112 inf + 21978 235.437 * * [simplify]: Extracting #6: cost 9 inf + 85058 235.460 * * [simplify]: Extracting #7: cost 0 inf + 91019 235.483 * * [simplify]: Extracting #8: cost 0 inf + 90978 235.494 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 235.494 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 235.494 * * * * [progress]: [ 251 / 667 ] simplifiying candidate # 235.494 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 235.495 * * [simplify]: iters left: 6 (18 enodes) 235.500 * * [simplify]: iters left: 5 (79 enodes) 235.516 * * [simplify]: iters left: 4 (146 enodes) 235.564 * * [simplify]: iters left: 3 (233 enodes) 235.651 * * [simplify]: iters left: 2 (371 enodes) 235.738 * * [simplify]: Extracting #0: cost 1 inf + 0 235.738 * * [simplify]: Extracting #1: cost 23 inf + 0 235.738 * * [simplify]: Extracting #2: cost 52 inf + 0 235.738 * * [simplify]: Extracting #3: cost 63 inf + 3 235.739 * * [simplify]: Extracting #4: cost 113 inf + 5 235.740 * * [simplify]: Extracting #5: cost 140 inf + 923 235.745 * * [simplify]: Extracting #6: cost 74 inf + 20898 235.759 * * [simplify]: Extracting #7: cost 11 inf + 47215 235.775 * * [simplify]: Extracting #8: cost 1 inf + 54458 235.783 * * [simplify]: Extracting #9: cost 0 inf + 54712 235.792 * [simplify]: Simplified to (/ (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 235.792 * [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 (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 235.794 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 235.795 * * [simplify]: iters left: 6 (16 enodes) 235.799 * * [simplify]: iters left: 5 (65 enodes) 235.810 * * [simplify]: iters left: 4 (100 enodes) 235.830 * * [simplify]: iters left: 3 (139 enodes) 235.869 * * [simplify]: iters left: 2 (219 enodes) 235.918 * * [simplify]: iters left: 1 (399 enodes) 236.117 * * [simplify]: Extracting #0: cost 1 inf + 0 236.117 * * [simplify]: Extracting #1: cost 6 inf + 0 236.117 * * [simplify]: Extracting #2: cost 12 inf + 0 236.118 * * [simplify]: Extracting #3: cost 44 inf + 0 236.118 * * [simplify]: Extracting #4: cost 127 inf + 1 236.120 * * [simplify]: Extracting #5: cost 171 inf + 801 236.124 * * [simplify]: Extracting #6: cost 115 inf + 11048 236.143 * * [simplify]: Extracting #7: cost 12 inf + 68330 236.169 * * [simplify]: Extracting #8: cost 0 inf + 75500 236.182 * * [simplify]: Extracting #9: cost 0 inf + 74098 236.194 * * [simplify]: Extracting #10: cost 0 inf + 74018 236.212 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 236.212 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 236.213 * * * * [progress]: [ 252 / 667 ] simplifiying candidate # 236.213 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 236.213 * * [simplify]: iters left: 6 (21 enodes) 236.224 * * [simplify]: iters left: 5 (87 enodes) 236.251 * * [simplify]: iters left: 4 (151 enodes) 236.279 * * [simplify]: iters left: 3 (234 enodes) 236.331 * * [simplify]: iters left: 2 (361 enodes) 236.421 * * [simplify]: Extracting #0: cost 1 inf + 0 236.421 * * [simplify]: Extracting #1: cost 23 inf + 0 236.421 * * [simplify]: Extracting #2: cost 48 inf + 0 236.421 * * [simplify]: Extracting #3: cost 64 inf + 0 236.422 * * [simplify]: Extracting #4: cost 112 inf + 1 236.422 * * [simplify]: Extracting #5: cost 139 inf + 425 236.424 * * [simplify]: Extracting #6: cost 91 inf + 7458 236.431 * * [simplify]: Extracting #7: cost 23 inf + 38559 236.444 * * [simplify]: Extracting #8: cost 0 inf + 52478 236.456 * * [simplify]: Extracting #9: cost 0 inf + 52268 236.464 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) 236.464 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 236.464 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 236.464 * * [simplify]: iters left: 6 (18 enodes) 236.469 * * [simplify]: iters left: 5 (71 enodes) 236.482 * * [simplify]: iters left: 4 (109 enodes) 236.514 * * [simplify]: iters left: 3 (153 enodes) 236.566 * * [simplify]: iters left: 2 (234 enodes) 236.626 * * [simplify]: iters left: 1 (413 enodes) 236.793 * * [simplify]: Extracting #0: cost 1 inf + 0 236.793 * * [simplify]: Extracting #1: cost 8 inf + 0 236.793 * * [simplify]: Extracting #2: cost 17 inf + 0 236.794 * * [simplify]: Extracting #3: cost 48 inf + 0 236.794 * * [simplify]: Extracting #4: cost 127 inf + 1 236.796 * * [simplify]: Extracting #5: cost 180 inf + 343 236.799 * * [simplify]: Extracting #6: cost 123 inf + 10592 236.805 * * [simplify]: Extracting #7: cost 64 inf + 21419 236.813 * * [simplify]: Extracting #8: cost 17 inf + 56870 236.823 * * [simplify]: Extracting #9: cost 0 inf + 72605 236.836 * * [simplify]: Extracting #10: cost 0 inf + 71972 236.860 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 236.860 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 236.860 * * * * [progress]: [ 253 / 667 ] simplifiying candidate # 236.861 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 236.861 * * [simplify]: iters left: 6 (22 enodes) 236.872 * * [simplify]: iters left: 5 (90 enodes) 236.892 * * [simplify]: iters left: 4 (154 enodes) 236.923 * * [simplify]: iters left: 3 (237 enodes) 236.971 * * [simplify]: iters left: 2 (364 enodes) 237.076 * * [simplify]: Extracting #0: cost 1 inf + 0 237.077 * * [simplify]: Extracting #1: cost 23 inf + 0 237.077 * * [simplify]: Extracting #2: cost 47 inf + 0 237.077 * * [simplify]: Extracting #3: cost 64 inf + 0 237.078 * * [simplify]: Extracting #4: cost 117 inf + 1 237.079 * * [simplify]: Extracting #5: cost 142 inf + 1256 237.081 * * [simplify]: Extracting #6: cost 80 inf + 16216 237.087 * * [simplify]: Extracting #7: cost 17 inf + 43680 237.095 * * [simplify]: Extracting #8: cost 0 inf + 54448 237.103 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) 237.104 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 237.104 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 237.104 * * [simplify]: iters left: 6 (19 enodes) 237.111 * * [simplify]: iters left: 5 (74 enodes) 237.129 * * [simplify]: iters left: 4 (108 enodes) 237.153 * * [simplify]: iters left: 3 (153 enodes) 237.204 * * [simplify]: iters left: 2 (251 enodes) 237.266 * * [simplify]: iters left: 1 (421 enodes) 237.396 * * [simplify]: Extracting #0: cost 1 inf + 0 237.396 * * [simplify]: Extracting #1: cost 8 inf + 0 237.396 * * [simplify]: Extracting #2: cost 17 inf + 0 237.397 * * [simplify]: Extracting #3: cost 49 inf + 0 237.397 * * [simplify]: Extracting #4: cost 135 inf + 1 237.398 * * [simplify]: Extracting #5: cost 201 inf + 302 237.400 * * [simplify]: Extracting #6: cost 142 inf + 8166 237.412 * * [simplify]: Extracting #7: cost 27 inf + 56665 237.439 * * [simplify]: Extracting #8: cost 0 inf + 73897 237.450 * * [simplify]: Extracting #9: cost 0 inf + 73619 237.462 * * [simplify]: Extracting #10: cost 0 inf + 73579 237.476 * * [simplify]: Extracting #11: cost 0 inf + 73539 237.499 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 237.499 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 237.499 * * * * [progress]: [ 254 / 667 ] simplifiying candidate # 237.500 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 237.500 * * [simplify]: iters left: 6 (19 enodes) 237.510 * * [simplify]: iters left: 5 (80 enodes) 237.531 * * [simplify]: iters left: 4 (144 enodes) 237.559 * * [simplify]: iters left: 3 (227 enodes) 237.609 * * [simplify]: iters left: 2 (354 enodes) 237.727 * * [simplify]: Extracting #0: cost 1 inf + 0 237.727 * * [simplify]: Extracting #1: cost 23 inf + 0 237.727 * * [simplify]: Extracting #2: cost 46 inf + 0 237.727 * * [simplify]: Extracting #3: cost 60 inf + 0 237.727 * * [simplify]: Extracting #4: cost 110 inf + 1 237.728 * * [simplify]: Extracting #5: cost 136 inf + 841 237.730 * * [simplify]: Extracting #6: cost 83 inf + 15724 237.736 * * [simplify]: Extracting #7: cost 15 inf + 42353 237.744 * * [simplify]: Extracting #8: cost 0 inf + 51581 237.761 * * [simplify]: Extracting #9: cost 0 inf + 51016 237.777 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 237.778 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 237.778 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 237.778 * * [simplify]: iters left: 6 (17 enodes) 237.787 * * [simplify]: iters left: 5 (68 enodes) 237.810 * * [simplify]: iters left: 4 (106 enodes) 237.842 * * [simplify]: iters left: 3 (151 enodes) 237.890 * * [simplify]: iters left: 2 (232 enodes) 237.977 * * [simplify]: iters left: 1 (413 enodes) 238.161 * * [simplify]: Extracting #0: cost 1 inf + 0 238.161 * * [simplify]: Extracting #1: cost 8 inf + 0 238.161 * * [simplify]: Extracting #2: cost 16 inf + 0 238.161 * * [simplify]: Extracting #3: cost 45 inf + 0 238.162 * * [simplify]: Extracting #4: cost 128 inf + 1 238.163 * * [simplify]: Extracting #5: cost 182 inf + 219 238.167 * * [simplify]: Extracting #6: cost 131 inf + 9826 238.175 * * [simplify]: Extracting #7: cost 60 inf + 24044 238.191 * * [simplify]: Extracting #8: cost 16 inf + 59241 238.212 * * [simplify]: Extracting #9: cost 0 inf + 73377 238.223 * * [simplify]: Extracting #10: cost 0 inf + 72634 238.234 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 238.235 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 238.235 * * * * [progress]: [ 255 / 667 ] simplifiying candidate # 238.235 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) 238.235 * * [simplify]: iters left: 6 (20 enodes) 238.243 * * [simplify]: iters left: 5 (83 enodes) 238.273 * * [simplify]: iters left: 4 (137 enodes) 238.313 * * [simplify]: iters left: 3 (192 enodes) 238.364 * * [simplify]: iters left: 2 (308 enodes) 238.423 * * [simplify]: iters left: 1 (490 enodes) 238.621 * * [simplify]: Extracting #0: cost 1 inf + 0 238.621 * * [simplify]: Extracting #1: cost 13 inf + 0 238.622 * * [simplify]: Extracting #2: cost 24 inf + 1 238.622 * * [simplify]: Extracting #3: cost 53 inf + 1 238.623 * * [simplify]: Extracting #4: cost 132 inf + 2 238.624 * * [simplify]: Extracting #5: cost 174 inf + 344 238.627 * * [simplify]: Extracting #6: cost 119 inf + 12566 238.633 * * [simplify]: Extracting #7: cost 49 inf + 31875 238.643 * * [simplify]: Extracting #8: cost 9 inf + 64951 238.655 * * [simplify]: Extracting #9: cost 0 inf + 73937 238.678 * * [simplify]: Extracting #10: cost 0 inf + 73228 238.701 * * [simplify]: Extracting #11: cost 0 inf + 73059 238.724 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 238.724 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 238.724 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 238.724 * * [simplify]: iters left: 6 (16 enodes) 238.733 * * [simplify]: iters left: 5 (65 enodes) 238.753 * * [simplify]: iters left: 4 (103 enodes) 238.785 * * [simplify]: iters left: 3 (144 enodes) 238.826 * * [simplify]: iters left: 2 (224 enodes) 238.887 * * [simplify]: iters left: 1 (403 enodes) 239.060 * * [simplify]: Extracting #0: cost 1 inf + 0 239.061 * * [simplify]: Extracting #1: cost 8 inf + 0 239.061 * * [simplify]: Extracting #2: cost 16 inf + 0 239.061 * * [simplify]: Extracting #3: cost 49 inf + 0 239.061 * * [simplify]: Extracting #4: cost 127 inf + 2 239.063 * * [simplify]: Extracting #5: cost 170 inf + 585 239.067 * * [simplify]: Extracting #6: cost 116 inf + 12900 239.079 * * [simplify]: Extracting #7: cost 33 inf + 44804 239.100 * * [simplify]: Extracting #8: cost 0 inf + 75188 239.119 * * [simplify]: Extracting #9: cost 0 inf + 73776 239.131 * * [simplify]: Extracting #10: cost 0 inf + 73375 239.145 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 239.145 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 239.145 * * * * [progress]: [ 256 / 667 ] simplifiying candidate # 239.146 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 239.146 * * [simplify]: iters left: 6 (19 enodes) 239.151 * * [simplify]: iters left: 5 (80 enodes) 239.177 * * [simplify]: iters left: 4 (144 enodes) 239.222 * * [simplify]: iters left: 3 (227 enodes) 239.274 * * [simplify]: iters left: 2 (354 enodes) 239.353 * * [simplify]: Extracting #0: cost 1 inf + 0 239.353 * * [simplify]: Extracting #1: cost 23 inf + 0 239.353 * * [simplify]: Extracting #2: cost 46 inf + 0 239.353 * * [simplify]: Extracting #3: cost 60 inf + 0 239.354 * * [simplify]: Extracting #4: cost 110 inf + 1 239.354 * * [simplify]: Extracting #5: cost 136 inf + 841 239.356 * * [simplify]: Extracting #6: cost 83 inf + 15724 239.362 * * [simplify]: Extracting #7: cost 15 inf + 42353 239.370 * * [simplify]: Extracting #8: cost 0 inf + 51581 239.382 * * [simplify]: Extracting #9: cost 0 inf + 51016 239.398 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 239.399 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 239.399 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 239.399 * * [simplify]: iters left: 6 (17 enodes) 239.408 * * [simplify]: iters left: 5 (68 enodes) 239.429 * * [simplify]: iters left: 4 (106 enodes) 239.461 * * [simplify]: iters left: 3 (151 enodes) 239.499 * * [simplify]: iters left: 2 (232 enodes) 239.555 * * [simplify]: iters left: 1 (413 enodes) 239.742 * * [simplify]: Extracting #0: cost 1 inf + 0 239.742 * * [simplify]: Extracting #1: cost 8 inf + 0 239.742 * * [simplify]: Extracting #2: cost 16 inf + 0 239.742 * * [simplify]: Extracting #3: cost 45 inf + 0 239.742 * * [simplify]: Extracting #4: cost 128 inf + 1 239.743 * * [simplify]: Extracting #5: cost 182 inf + 219 239.745 * * [simplify]: Extracting #6: cost 131 inf + 9826 239.749 * * [simplify]: Extracting #7: cost 60 inf + 24044 239.764 * * [simplify]: Extracting #8: cost 16 inf + 59241 239.777 * * [simplify]: Extracting #9: cost 0 inf + 73377 239.791 * * [simplify]: Extracting #10: cost 0 inf + 72634 239.807 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 239.807 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 239.807 * * * * [progress]: [ 257 / 667 ] simplifiying candidate # 239.807 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 239.808 * * [simplify]: iters left: 6 (19 enodes) 239.818 * * [simplify]: iters left: 5 (80 enodes) 239.836 * * [simplify]: iters left: 4 (134 enodes) 239.858 * * [simplify]: iters left: 3 (192 enodes) 239.899 * * [simplify]: iters left: 2 (308 enodes) 239.997 * * [simplify]: iters left: 1 (498 enodes) 240.186 * * [simplify]: Extracting #0: cost 1 inf + 0 240.186 * * [simplify]: Extracting #1: cost 13 inf + 0 240.186 * * [simplify]: Extracting #2: cost 24 inf + 1 240.187 * * [simplify]: Extracting #3: cost 53 inf + 1 240.187 * * [simplify]: Extracting #4: cost 130 inf + 2 240.193 * * [simplify]: Extracting #5: cost 174 inf + 426 240.200 * * [simplify]: Extracting #6: cost 94 inf + 25752 240.218 * * [simplify]: Extracting #7: cost 4 inf + 71085 240.229 * * [simplify]: Extracting #8: cost 0 inf + 72329 240.241 * * [simplify]: Extracting #9: cost 0 inf + 71571 240.263 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) 240.263 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 240.264 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 240.264 * * [simplify]: iters left: 6 (16 enodes) 240.270 * * [simplify]: iters left: 5 (65 enodes) 240.281 * * [simplify]: iters left: 4 (103 enodes) 240.302 * * [simplify]: iters left: 3 (144 enodes) 240.347 * * [simplify]: iters left: 2 (224 enodes) 240.408 * * [simplify]: iters left: 1 (403 enodes) 240.585 * * [simplify]: Extracting #0: cost 1 inf + 0 240.585 * * [simplify]: Extracting #1: cost 8 inf + 0 240.585 * * [simplify]: Extracting #2: cost 16 inf + 0 240.585 * * [simplify]: Extracting #3: cost 49 inf + 0 240.586 * * [simplify]: Extracting #4: cost 127 inf + 2 240.587 * * [simplify]: Extracting #5: cost 170 inf + 585 240.589 * * [simplify]: Extracting #6: cost 116 inf + 12900 240.595 * * [simplify]: Extracting #7: cost 33 inf + 44804 240.606 * * [simplify]: Extracting #8: cost 0 inf + 75188 240.626 * * [simplify]: Extracting #9: cost 0 inf + 73776 240.638 * * [simplify]: Extracting #10: cost 0 inf + 73375 240.650 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 240.651 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 240.651 * * * * [progress]: [ 258 / 667 ] simplifiying candidate # 240.651 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 240.651 * * [simplify]: iters left: 6 (19 enodes) 240.658 * * [simplify]: iters left: 5 (80 enodes) 240.676 * * [simplify]: iters left: 4 (144 enodes) 240.701 * * [simplify]: iters left: 3 (227 enodes) 240.751 * * [simplify]: iters left: 2 (354 enodes) 240.844 * * [simplify]: Extracting #0: cost 1 inf + 0 240.844 * * [simplify]: Extracting #1: cost 23 inf + 0 240.845 * * [simplify]: Extracting #2: cost 46 inf + 0 240.845 * * [simplify]: Extracting #3: cost 60 inf + 0 240.845 * * [simplify]: Extracting #4: cost 110 inf + 1 240.846 * * [simplify]: Extracting #5: cost 136 inf + 841 240.848 * * [simplify]: Extracting #6: cost 83 inf + 15724 240.854 * * [simplify]: Extracting #7: cost 15 inf + 42353 240.862 * * [simplify]: Extracting #8: cost 0 inf + 51581 240.874 * * [simplify]: Extracting #9: cost 0 inf + 51016 240.890 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 240.890 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 240.891 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 240.891 * * [simplify]: iters left: 6 (17 enodes) 240.900 * * [simplify]: iters left: 5 (68 enodes) 240.923 * * [simplify]: iters left: 4 (106 enodes) 240.958 * * [simplify]: iters left: 3 (151 enodes) 241.006 * * [simplify]: iters left: 2 (232 enodes) 241.064 * * [simplify]: iters left: 1 (413 enodes) 241.239 * * [simplify]: Extracting #0: cost 1 inf + 0 241.239 * * [simplify]: Extracting #1: cost 8 inf + 0 241.240 * * [simplify]: Extracting #2: cost 16 inf + 0 241.240 * * [simplify]: Extracting #3: cost 45 inf + 0 241.241 * * [simplify]: Extracting #4: cost 128 inf + 1 241.242 * * [simplify]: Extracting #5: cost 182 inf + 219 241.246 * * [simplify]: Extracting #6: cost 131 inf + 9826 241.254 * * [simplify]: Extracting #7: cost 60 inf + 24044 241.275 * * [simplify]: Extracting #8: cost 16 inf + 59241 241.298 * * [simplify]: Extracting #9: cost 0 inf + 73377 241.317 * * [simplify]: Extracting #10: cost 0 inf + 72634 241.328 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 241.328 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 241.328 * * * * [progress]: [ 259 / 667 ] simplifiying candidate # 241.329 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 241.329 * * [simplify]: iters left: 6 (18 enodes) 241.334 * * [simplify]: iters left: 5 (75 enodes) 241.348 * * [simplify]: iters left: 4 (133 enodes) 241.395 * * [simplify]: iters left: 3 (207 enodes) 241.458 * * [simplify]: iters left: 2 (330 enodes) 241.520 * * [simplify]: Extracting #0: cost 1 inf + 0 241.520 * * [simplify]: Extracting #1: cost 13 inf + 0 241.520 * * [simplify]: Extracting #2: cost 24 inf + 1 241.520 * * [simplify]: Extracting #3: cost 38 inf + 1 241.520 * * [simplify]: Extracting #4: cost 88 inf + 2 241.521 * * [simplify]: Extracting #5: cost 120 inf + 134 241.522 * * [simplify]: Extracting #6: cost 78 inf + 6338 241.526 * * [simplify]: Extracting #7: cost 14 inf + 27503 241.534 * * [simplify]: Extracting #8: cost 0 inf + 36409 241.547 * * [simplify]: Extracting #9: cost 0 inf + 36198 241.560 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 241.560 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 241.561 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 241.561 * * [simplify]: iters left: 6 (16 enodes) 241.568 * * [simplify]: iters left: 5 (65 enodes) 241.580 * * [simplify]: iters left: 4 (103 enodes) 241.601 * * [simplify]: iters left: 3 (144 enodes) 241.636 * * [simplify]: iters left: 2 (224 enodes) 241.706 * * [simplify]: iters left: 1 (403 enodes) 241.870 * * [simplify]: Extracting #0: cost 1 inf + 0 241.871 * * [simplify]: Extracting #1: cost 8 inf + 0 241.871 * * [simplify]: Extracting #2: cost 16 inf + 0 241.871 * * [simplify]: Extracting #3: cost 49 inf + 0 241.871 * * [simplify]: Extracting #4: cost 127 inf + 2 241.872 * * [simplify]: Extracting #5: cost 170 inf + 585 241.874 * * [simplify]: Extracting #6: cost 116 inf + 12900 241.880 * * [simplify]: Extracting #7: cost 33 inf + 44804 241.895 * * [simplify]: Extracting #8: cost 0 inf + 75188 241.918 * * [simplify]: Extracting #9: cost 0 inf + 73776 241.942 * * [simplify]: Extracting #10: cost 0 inf + 73375 241.966 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 241.966 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 241.967 * * * * [progress]: [ 260 / 667 ] simplifiying candidate # 241.967 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 241.967 * * [simplify]: iters left: 6 (21 enodes) 241.978 * * [simplify]: iters left: 5 (85 enodes) 242.004 * * [simplify]: iters left: 4 (140 enodes) 242.031 * * [simplify]: iters left: 3 (225 enodes) 242.090 * * [simplify]: iters left: 2 (360 enodes) 242.181 * * [simplify]: Extracting #0: cost 1 inf + 0 242.181 * * [simplify]: Extracting #1: cost 24 inf + 0 242.182 * * [simplify]: Extracting #2: cost 50 inf + 0 242.182 * * [simplify]: Extracting #3: cost 67 inf + 0 242.182 * * [simplify]: Extracting #4: cost 119 inf + 1 242.183 * * [simplify]: Extracting #5: cost 146 inf + 717 242.184 * * [simplify]: Extracting #6: cost 103 inf + 8416 242.188 * * [simplify]: Extracting #7: cost 36 inf + 33189 242.197 * * [simplify]: Extracting #8: cost 2 inf + 55850 242.205 * * [simplify]: Extracting #9: cost 0 inf + 56636 242.214 * * [simplify]: Extracting #10: cost 0 inf + 56305 242.231 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) 242.231 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 242.232 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 242.232 * * [simplify]: iters left: 6 (18 enodes) 242.245 * * [simplify]: iters left: 5 (71 enodes) 242.268 * * [simplify]: iters left: 4 (109 enodes) 242.302 * * [simplify]: iters left: 3 (153 enodes) 242.350 * * [simplify]: iters left: 2 (234 enodes) 242.404 * * [simplify]: iters left: 1 (413 enodes) 242.569 * * [simplify]: Extracting #0: cost 1 inf + 0 242.569 * * [simplify]: Extracting #1: cost 8 inf + 0 242.569 * * [simplify]: Extracting #2: cost 17 inf + 0 242.570 * * [simplify]: Extracting #3: cost 48 inf + 0 242.570 * * [simplify]: Extracting #4: cost 127 inf + 1 242.571 * * [simplify]: Extracting #5: cost 180 inf + 343 242.575 * * [simplify]: Extracting #6: cost 123 inf + 10632 242.583 * * [simplify]: Extracting #7: cost 64 inf + 21419 242.599 * * [simplify]: Extracting #8: cost 17 inf + 56870 242.621 * * [simplify]: Extracting #9: cost 0 inf + 72605 242.641 * * [simplify]: Extracting #10: cost 0 inf + 71972 242.658 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 242.658 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 242.658 * * * * [progress]: [ 261 / 667 ] simplifiying candidate # 242.658 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 242.658 * * [simplify]: iters left: 6 (18 enodes) 242.663 * * [simplify]: iters left: 5 (74 enodes) 242.684 * * [simplify]: iters left: 4 (110 enodes) 242.721 * * [simplify]: iters left: 3 (166 enodes) 242.777 * * [simplify]: iters left: 2 (283 enodes) 242.853 * * [simplify]: iters left: 1 (472 enodes) 243.026 * * [simplify]: Extracting #0: cost 1 inf + 0 243.026 * * [simplify]: Extracting #1: cost 16 inf + 0 243.026 * * [simplify]: Extracting #2: cost 31 inf + 0 243.027 * * [simplify]: Extracting #3: cost 60 inf + 0 243.027 * * [simplify]: Extracting #4: cost 142 inf + 2 243.028 * * [simplify]: Extracting #5: cost 193 inf + 1228 243.029 * * [simplify]: Extracting #6: cost 164 inf + 4209 243.034 * * [simplify]: Extracting #7: cost 80 inf + 26935 243.046 * * [simplify]: Extracting #8: cost 6 inf + 81710 243.072 * * [simplify]: Extracting #9: cost 0 inf + 85803 243.087 * * [simplify]: Extracting #10: cost 0 inf + 85724 243.101 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 243.101 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 243.102 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 243.102 * * [simplify]: iters left: 6 (16 enodes) 243.106 * * [simplify]: iters left: 5 (65 enodes) 243.131 * * [simplify]: iters left: 4 (98 enodes) 243.160 * * [simplify]: iters left: 3 (138 enodes) 243.204 * * [simplify]: iters left: 2 (218 enodes) 243.274 * * [simplify]: iters left: 1 (395 enodes) 243.454 * * [simplify]: Extracting #0: cost 1 inf + 0 243.454 * * [simplify]: Extracting #1: cost 6 inf + 0 243.454 * * [simplify]: Extracting #2: cost 12 inf + 0 243.454 * * [simplify]: Extracting #3: cost 41 inf + 0 243.454 * * [simplify]: Extracting #4: cost 111 inf + 366 243.455 * * [simplify]: Extracting #5: cost 154 inf + 1279 243.458 * * [simplify]: Extracting #6: cost 99 inf + 16066 243.465 * * [simplify]: Extracting #7: cost 28 inf + 42019 243.479 * * [simplify]: Extracting #8: cost 0 inf + 63857 243.490 * * [simplify]: Extracting #9: cost 0 inf + 63529 243.502 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 243.502 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 243.502 * * * * [progress]: [ 262 / 667 ] simplifiying candidate # 243.503 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 243.503 * * [simplify]: iters left: 6 (22 enodes) 243.509 * * [simplify]: iters left: 5 (87 enodes) 243.530 * * [simplify]: iters left: 4 (135 enodes) 243.559 * * [simplify]: iters left: 3 (195 enodes) 243.598 * * [simplify]: iters left: 2 (286 enodes) 243.655 * * [simplify]: iters left: 1 (473 enodes) 243.823 * * [simplify]: Extracting #0: cost 1 inf + 0 243.823 * * [simplify]: Extracting #1: cost 15 inf + 0 243.823 * * [simplify]: Extracting #2: cost 32 inf + 0 243.824 * * [simplify]: Extracting #3: cost 67 inf + 0 243.824 * * [simplify]: Extracting #4: cost 146 inf + 1 243.828 * * [simplify]: Extracting #5: cost 200 inf + 385 243.830 * * [simplify]: Extracting #6: cost 136 inf + 12271 243.843 * * [simplify]: Extracting #7: cost 25 inf + 63630 243.867 * * [simplify]: Extracting #8: cost 0 inf + 83600 243.890 * * [simplify]: Extracting #9: cost 0 inf + 82067 243.904 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (/ (sqrt (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (fabs (cbrt (sqrt k))))) 243.904 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (/ (sqrt (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 243.905 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 243.905 * * [simplify]: iters left: 6 (19 enodes) 243.910 * * [simplify]: iters left: 5 (74 enodes) 243.922 * * [simplify]: iters left: 4 (108 enodes) 243.954 * * [simplify]: iters left: 3 (153 enodes) 244.007 * * [simplify]: iters left: 2 (251 enodes) 244.070 * * [simplify]: iters left: 1 (421 enodes) 244.233 * * [simplify]: Extracting #0: cost 1 inf + 0 244.233 * * [simplify]: Extracting #1: cost 8 inf + 0 244.233 * * [simplify]: Extracting #2: cost 17 inf + 0 244.233 * * [simplify]: Extracting #3: cost 49 inf + 0 244.233 * * [simplify]: Extracting #4: cost 135 inf + 1 244.234 * * [simplify]: Extracting #5: cost 201 inf + 302 244.236 * * [simplify]: Extracting #6: cost 142 inf + 8246 244.244 * * [simplify]: Extracting #7: cost 27 inf + 56745 244.260 * * [simplify]: Extracting #8: cost 0 inf + 73977 244.283 * * [simplify]: Extracting #9: cost 0 inf + 73699 244.307 * * [simplify]: Extracting #10: cost 0 inf + 73659 244.322 * * [simplify]: Extracting #11: cost 0 inf + 73619 244.334 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 244.334 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 244.334 * * * * [progress]: [ 263 / 667 ] simplifiying candidate # 244.334 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 244.335 * * [simplify]: iters left: 6 (20 enodes) 244.340 * * [simplify]: iters left: 5 (80 enodes) 244.362 * * [simplify]: iters left: 4 (128 enodes) 244.387 * * [simplify]: iters left: 3 (188 enodes) 244.434 * * [simplify]: iters left: 2 (279 enodes) 244.490 * * [simplify]: iters left: 1 (472 enodes) 244.657 * * [simplify]: Extracting #0: cost 1 inf + 0 244.657 * * [simplify]: Extracting #1: cost 15 inf + 0 244.657 * * [simplify]: Extracting #2: cost 32 inf + 0 244.658 * * [simplify]: Extracting #3: cost 65 inf + 0 244.658 * * [simplify]: Extracting #4: cost 152 inf + 1 244.659 * * [simplify]: Extracting #5: cost 205 inf + 590 244.661 * * [simplify]: Extracting #6: cost 129 inf + 11801 244.667 * * [simplify]: Extracting #7: cost 52 inf + 41336 244.679 * * [simplify]: Extracting #8: cost 7 inf + 80018 244.701 * * [simplify]: Extracting #9: cost 0 inf + 86494 244.727 * * [simplify]: Extracting #10: cost 0 inf + 86454 244.750 * [simplify]: Simplified to (/ (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 244.750 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 244.751 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 244.751 * * [simplify]: iters left: 6 (18 enodes) 244.756 * * [simplify]: iters left: 5 (71 enodes) 244.769 * * [simplify]: iters left: 4 (109 enodes) 244.802 * * [simplify]: iters left: 3 (153 enodes) 244.850 * * [simplify]: iters left: 2 (234 enodes) 244.940 * * [simplify]: iters left: 1 (413 enodes) 245.104 * * [simplify]: Extracting #0: cost 1 inf + 0 245.104 * * [simplify]: Extracting #1: cost 8 inf + 0 245.104 * * [simplify]: Extracting #2: cost 17 inf + 0 245.104 * * [simplify]: Extracting #3: cost 48 inf + 0 245.105 * * [simplify]: Extracting #4: cost 127 inf + 1 245.105 * * [simplify]: Extracting #5: cost 180 inf + 343 245.108 * * [simplify]: Extracting #6: cost 123 inf + 10512 245.112 * * [simplify]: Extracting #7: cost 64 inf + 21099 245.119 * * [simplify]: Extracting #8: cost 17 inf + 56550 245.130 * * [simplify]: Extracting #9: cost 0 inf + 72285 245.140 * * [simplify]: Extracting #10: cost 0 inf + 71652 245.150 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 245.150 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 245.150 * * * * [progress]: [ 264 / 667 ] simplifiying candidate # 245.151 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) 245.151 * * [simplify]: iters left: 6 (20 enodes) 245.157 * * [simplify]: iters left: 5 (80 enodes) 245.174 * * [simplify]: iters left: 4 (121 enodes) 245.197 * * [simplify]: iters left: 3 (172 enodes) 245.249 * * [simplify]: iters left: 2 (263 enodes) 245.319 * * [simplify]: iters left: 1 (449 enodes) 245.509 * * [simplify]: Extracting #0: cost 1 inf + 0 245.509 * * [simplify]: Extracting #1: cost 9 inf + 0 245.509 * * [simplify]: Extracting #2: cost 17 inf + 1 245.510 * * [simplify]: Extracting #3: cost 49 inf + 1 245.510 * * [simplify]: Extracting #4: cost 134 inf + 2 245.512 * * [simplify]: Extracting #5: cost 177 inf + 843 245.517 * * [simplify]: Extracting #6: cost 115 inf + 12584 245.524 * * [simplify]: Extracting #7: cost 26 inf + 55601 245.536 * * [simplify]: Extracting #8: cost 1 inf + 77577 245.548 * * [simplify]: Extracting #9: cost 0 inf + 76601 245.560 * * [simplify]: Extracting #10: cost 0 inf + 72749 245.576 * * [simplify]: Extracting #11: cost 0 inf + 72567 245.589 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt (sqrt k)))) 245.589 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 245.589 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 245.590 * * [simplify]: iters left: 6 (17 enodes) 245.595 * * [simplify]: iters left: 5 (68 enodes) 245.607 * * [simplify]: iters left: 4 (106 enodes) 245.624 * * [simplify]: iters left: 3 (151 enodes) 245.649 * * [simplify]: iters left: 2 (232 enodes) 245.732 * * [simplify]: iters left: 1 (413 enodes) 245.904 * * [simplify]: Extracting #0: cost 1 inf + 0 245.904 * * [simplify]: Extracting #1: cost 8 inf + 0 245.904 * * [simplify]: Extracting #2: cost 17 inf + 0 245.904 * * [simplify]: Extracting #3: cost 47 inf + 0 245.904 * * [simplify]: Extracting #4: cost 127 inf + 2 245.905 * * [simplify]: Extracting #5: cost 173 inf + 1326 245.907 * * [simplify]: Extracting #6: cost 124 inf + 10512 245.912 * * [simplify]: Extracting #7: cost 55 inf + 26917 245.921 * * [simplify]: Extracting #8: cost 12 inf + 62323 245.942 * * [simplify]: Extracting #9: cost 0 inf + 72422 245.964 * * [simplify]: Extracting #10: cost 0 inf + 72303 245.987 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 245.987 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 245.987 * * * * [progress]: [ 265 / 667 ] simplifiying candidate # 245.987 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 245.988 * * [simplify]: iters left: 6 (20 enodes) 245.997 * * [simplify]: iters left: 5 (80 enodes) 246.015 * * [simplify]: iters left: 4 (128 enodes) 246.036 * * [simplify]: iters left: 3 (188 enodes) 246.091 * * [simplify]: iters left: 2 (279 enodes) 246.167 * * [simplify]: iters left: 1 (472 enodes) 246.341 * * [simplify]: Extracting #0: cost 1 inf + 0 246.341 * * [simplify]: Extracting #1: cost 15 inf + 0 246.341 * * [simplify]: Extracting #2: cost 32 inf + 0 246.342 * * [simplify]: Extracting #3: cost 65 inf + 0 246.342 * * [simplify]: Extracting #4: cost 152 inf + 1 246.344 * * [simplify]: Extracting #5: cost 205 inf + 590 246.348 * * [simplify]: Extracting #6: cost 129 inf + 11801 246.353 * * [simplify]: Extracting #7: cost 52 inf + 41336 246.365 * * [simplify]: Extracting #8: cost 7 inf + 80018 246.381 * * [simplify]: Extracting #9: cost 0 inf + 86494 246.410 * * [simplify]: Extracting #10: cost 0 inf + 86454 246.437 * [simplify]: Simplified to (/ (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 246.437 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 246.438 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 246.438 * * [simplify]: iters left: 6 (18 enodes) 246.447 * * [simplify]: iters left: 5 (71 enodes) 246.465 * * [simplify]: iters left: 4 (109 enodes) 246.483 * * [simplify]: iters left: 3 (153 enodes) 246.525 * * [simplify]: iters left: 2 (234 enodes) 246.610 * * [simplify]: iters left: 1 (413 enodes) 246.797 * * [simplify]: Extracting #0: cost 1 inf + 0 246.797 * * [simplify]: Extracting #1: cost 8 inf + 0 246.797 * * [simplify]: Extracting #2: cost 17 inf + 0 246.797 * * [simplify]: Extracting #3: cost 48 inf + 0 246.798 * * [simplify]: Extracting #4: cost 127 inf + 1 246.799 * * [simplify]: Extracting #5: cost 180 inf + 343 246.803 * * [simplify]: Extracting #6: cost 123 inf + 10512 246.811 * * [simplify]: Extracting #7: cost 64 inf + 21099 246.827 * * [simplify]: Extracting #8: cost 17 inf + 56550 246.837 * * [simplify]: Extracting #9: cost 0 inf + 72285 246.847 * * [simplify]: Extracting #10: cost 0 inf + 71652 246.862 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 246.862 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 246.862 * * * * [progress]: [ 266 / 667 ] simplifiying candidate # 246.862 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 246.863 * * [simplify]: iters left: 6 (19 enodes) 246.873 * * [simplify]: iters left: 5 (77 enodes) 246.898 * * [simplify]: iters left: 4 (114 enodes) 246.934 * * [simplify]: iters left: 3 (172 enodes) 246.993 * * [simplify]: iters left: 2 (284 enodes) 247.067 * * [simplify]: iters left: 1 (470 enodes) 247.239 * * [simplify]: Extracting #0: cost 1 inf + 0 247.239 * * [simplify]: Extracting #1: cost 9 inf + 0 247.239 * * [simplify]: Extracting #2: cost 17 inf + 1 247.239 * * [simplify]: Extracting #3: cost 48 inf + 1 247.240 * * [simplify]: Extracting #4: cost 132 inf + 2 247.241 * * [simplify]: Extracting #5: cost 193 inf + 178 247.242 * * [simplify]: Extracting #6: cost 151 inf + 8259 247.252 * * [simplify]: Extracting #7: cost 21 inf + 62098 247.272 * * [simplify]: Extracting #8: cost 0 inf + 67897 247.306 * * [simplify]: Extracting #9: cost 0 inf + 65965 247.339 * * [simplify]: Extracting #10: cost 0 inf + 65874 247.372 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt (sqrt k)))) 247.372 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 247.373 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 247.373 * * [simplify]: iters left: 6 (17 enodes) 247.382 * * [simplify]: iters left: 5 (68 enodes) 247.394 * * [simplify]: iters left: 4 (106 enodes) 247.411 * * [simplify]: iters left: 3 (151 enodes) 247.453 * * [simplify]: iters left: 2 (232 enodes) 247.516 * * [simplify]: iters left: 1 (413 enodes) 247.685 * * [simplify]: Extracting #0: cost 1 inf + 0 247.685 * * [simplify]: Extracting #1: cost 8 inf + 0 247.685 * * [simplify]: Extracting #2: cost 17 inf + 0 247.685 * * [simplify]: Extracting #3: cost 47 inf + 0 247.686 * * [simplify]: Extracting #4: cost 127 inf + 2 247.687 * * [simplify]: Extracting #5: cost 173 inf + 1326 247.691 * * [simplify]: Extracting #6: cost 124 inf + 10512 247.700 * * [simplify]: Extracting #7: cost 55 inf + 26917 247.719 * * [simplify]: Extracting #8: cost 12 inf + 62323 247.730 * * [simplify]: Extracting #9: cost 0 inf + 72422 247.741 * * [simplify]: Extracting #10: cost 0 inf + 72303 247.762 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 247.762 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 247.762 * * * * [progress]: [ 267 / 667 ] simplifiying candidate # 247.762 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 247.763 * * [simplify]: iters left: 6 (20 enodes) 247.773 * * [simplify]: iters left: 5 (80 enodes) 247.792 * * [simplify]: iters left: 4 (128 enodes) 247.813 * * [simplify]: iters left: 3 (188 enodes) 247.847 * * [simplify]: iters left: 2 (279 enodes) 247.943 * * [simplify]: iters left: 1 (472 enodes) 248.130 * * [simplify]: Extracting #0: cost 1 inf + 0 248.130 * * [simplify]: Extracting #1: cost 15 inf + 0 248.131 * * [simplify]: Extracting #2: cost 32 inf + 0 248.131 * * [simplify]: Extracting #3: cost 65 inf + 0 248.132 * * [simplify]: Extracting #4: cost 152 inf + 1 248.133 * * [simplify]: Extracting #5: cost 205 inf + 590 248.138 * * [simplify]: Extracting #6: cost 129 inf + 11801 248.144 * * [simplify]: Extracting #7: cost 52 inf + 41336 248.156 * * [simplify]: Extracting #8: cost 7 inf + 80018 248.172 * * [simplify]: Extracting #9: cost 0 inf + 86494 248.194 * * [simplify]: Extracting #10: cost 0 inf + 86454 248.209 * [simplify]: Simplified to (/ (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 248.209 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 248.210 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 248.210 * * [simplify]: iters left: 6 (18 enodes) 248.214 * * [simplify]: iters left: 5 (71 enodes) 248.227 * * [simplify]: iters left: 4 (109 enodes) 248.256 * * [simplify]: iters left: 3 (153 enodes) 248.282 * * [simplify]: iters left: 2 (234 enodes) 248.328 * * [simplify]: iters left: 1 (413 enodes) 248.482 * * [simplify]: Extracting #0: cost 1 inf + 0 248.482 * * [simplify]: Extracting #1: cost 8 inf + 0 248.482 * * [simplify]: Extracting #2: cost 17 inf + 0 248.483 * * [simplify]: Extracting #3: cost 48 inf + 0 248.483 * * [simplify]: Extracting #4: cost 127 inf + 1 248.484 * * [simplify]: Extracting #5: cost 180 inf + 343 248.485 * * [simplify]: Extracting #6: cost 123 inf + 10512 248.492 * * [simplify]: Extracting #7: cost 64 inf + 21099 248.506 * * [simplify]: Extracting #8: cost 17 inf + 56550 248.516 * * [simplify]: Extracting #9: cost 0 inf + 72285 248.529 * * [simplify]: Extracting #10: cost 0 inf + 71652 248.543 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 248.543 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 248.544 * * * * [progress]: [ 268 / 667 ] simplifiying candidate # 248.544 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 248.544 * * [simplify]: iters left: 6 (18 enodes) 248.554 * * [simplify]: iters left: 5 (72 enodes) 248.570 * * [simplify]: iters left: 4 (112 enodes) 248.589 * * [simplify]: iters left: 3 (168 enodes) 248.642 * * [simplify]: iters left: 2 (275 enodes) 248.733 * * [simplify]: iters left: 1 (449 enodes) 248.909 * * [simplify]: Extracting #0: cost 1 inf + 0 248.909 * * [simplify]: Extracting #1: cost 9 inf + 0 248.909 * * [simplify]: Extracting #2: cost 17 inf + 1 248.910 * * [simplify]: Extracting #3: cost 47 inf + 1 248.910 * * [simplify]: Extracting #4: cost 127 inf + 2 248.912 * * [simplify]: Extracting #5: cost 182 inf + 260 248.915 * * [simplify]: Extracting #6: cost 127 inf + 8209 248.926 * * [simplify]: Extracting #7: cost 39 inf + 39165 248.940 * * [simplify]: Extracting #8: cost 0 inf + 68380 248.953 * * [simplify]: Extracting #9: cost 0 inf + 66768 248.969 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 248.984 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 248.985 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 248.985 * * [simplify]: iters left: 6 (17 enodes) 248.990 * * [simplify]: iters left: 5 (68 enodes) 249.002 * * [simplify]: iters left: 4 (106 enodes) 249.019 * * [simplify]: iters left: 3 (151 enodes) 249.045 * * [simplify]: iters left: 2 (232 enodes) 249.128 * * [simplify]: iters left: 1 (413 enodes) 249.319 * * [simplify]: Extracting #0: cost 1 inf + 0 249.319 * * [simplify]: Extracting #1: cost 8 inf + 0 249.319 * * [simplify]: Extracting #2: cost 17 inf + 0 249.319 * * [simplify]: Extracting #3: cost 47 inf + 0 249.320 * * [simplify]: Extracting #4: cost 127 inf + 2 249.321 * * [simplify]: Extracting #5: cost 173 inf + 1326 249.325 * * [simplify]: Extracting #6: cost 124 inf + 10512 249.334 * * [simplify]: Extracting #7: cost 55 inf + 26917 249.343 * * [simplify]: Extracting #8: cost 12 inf + 62323 249.354 * * [simplify]: Extracting #9: cost 0 inf + 72422 249.368 * * [simplify]: Extracting #10: cost 0 inf + 72303 249.391 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 249.391 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 249.391 * * * * [progress]: [ 269 / 667 ] simplifiying candidate # 249.391 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 249.392 * * [simplify]: iters left: 6 (22 enodes) 249.403 * * [simplify]: iters left: 5 (88 enodes) 249.434 * * [simplify]: iters left: 4 (143 enodes) 249.477 * * [simplify]: iters left: 3 (232 enodes) 249.553 * * [simplify]: iters left: 2 (365 enodes) 249.658 * * [simplify]: Extracting #0: cost 1 inf + 0 249.658 * * [simplify]: Extracting #1: cost 23 inf + 0 249.658 * * [simplify]: Extracting #2: cost 48 inf + 0 249.659 * * [simplify]: Extracting #3: cost 65 inf + 0 249.659 * * [simplify]: Extracting #4: cost 118 inf + 1 249.660 * * [simplify]: Extracting #5: cost 147 inf + 341 249.666 * * [simplify]: Extracting #6: cost 102 inf + 6325 249.673 * * [simplify]: Extracting #7: cost 38 inf + 29229 249.689 * * [simplify]: Extracting #8: cost 5 inf + 52555 249.706 * * [simplify]: Extracting #9: cost 0 inf + 55845 249.723 * * [simplify]: Extracting #10: cost 0 inf + 55585 249.740 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) 249.740 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))))) 249.740 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) 249.740 * * [simplify]: iters left: 6 (19 enodes) 249.746 * * [simplify]: iters left: 5 (74 enodes) 249.759 * * [simplify]: iters left: 4 (108 enodes) 249.777 * * [simplify]: iters left: 3 (153 enodes) 249.819 * * [simplify]: iters left: 2 (251 enodes) 249.887 * * [simplify]: iters left: 1 (421 enodes) 250.024 * * [simplify]: Extracting #0: cost 1 inf + 0 250.024 * * [simplify]: Extracting #1: cost 8 inf + 0 250.024 * * [simplify]: Extracting #2: cost 17 inf + 0 250.024 * * [simplify]: Extracting #3: cost 49 inf + 0 250.025 * * [simplify]: Extracting #4: cost 135 inf + 1 250.025 * * [simplify]: Extracting #5: cost 201 inf + 302 250.028 * * [simplify]: Extracting #6: cost 142 inf + 8206 250.037 * * [simplify]: Extracting #7: cost 27 inf + 56665 250.048 * * [simplify]: Extracting #8: cost 0 inf + 73897 250.064 * * [simplify]: Extracting #9: cost 0 inf + 73619 250.086 * * [simplify]: Extracting #10: cost 0 inf + 73579 250.109 * * [simplify]: Extracting #11: cost 0 inf + 73539 250.132 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) 250.132 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))))) 250.132 * * * * [progress]: [ 270 / 667 ] simplifiying candidate # 250.132 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 250.133 * * [simplify]: iters left: 6 (22 enodes) 250.144 * * [simplify]: iters left: 5 (87 enodes) 250.171 * * [simplify]: iters left: 4 (135 enodes) 250.214 * * [simplify]: iters left: 3 (195 enodes) 250.274 * * [simplify]: iters left: 2 (286 enodes) 250.350 * * [simplify]: iters left: 1 (473 enodes) 250.514 * * [simplify]: Extracting #0: cost 1 inf + 0 250.514 * * [simplify]: Extracting #1: cost 15 inf + 0 250.514 * * [simplify]: Extracting #2: cost 32 inf + 0 250.514 * * [simplify]: Extracting #3: cost 67 inf + 0 250.515 * * [simplify]: Extracting #4: cost 146 inf + 1 250.515 * * [simplify]: Extracting #5: cost 200 inf + 385 250.518 * * [simplify]: Extracting #6: cost 137 inf + 12070 250.527 * * [simplify]: Extracting #7: cost 26 inf + 63469 250.540 * * [simplify]: Extracting #8: cost 0 inf + 83600 250.558 * * [simplify]: Extracting #9: cost 0 inf + 82067 250.570 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (fabs (cbrt k))))) 250.570 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (fabs (cbrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))))) 250.571 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) 250.571 * * [simplify]: iters left: 6 (19 enodes) 250.576 * * [simplify]: iters left: 5 (74 enodes) 250.591 * * [simplify]: iters left: 4 (108 enodes) 250.609 * * [simplify]: iters left: 3 (153 enodes) 250.645 * * [simplify]: iters left: 2 (251 enodes) 250.696 * * [simplify]: iters left: 1 (421 enodes) 250.810 * * [simplify]: Extracting #0: cost 1 inf + 0 250.810 * * [simplify]: Extracting #1: cost 8 inf + 0 250.810 * * [simplify]: Extracting #2: cost 17 inf + 0 250.810 * * [simplify]: Extracting #3: cost 49 inf + 0 250.811 * * [simplify]: Extracting #4: cost 135 inf + 1 251.203 * * [simplify]: Extracting #5: cost 201 inf + 302 251.206 * * [simplify]: Extracting #6: cost 142 inf + 8246 251.221 * * [simplify]: Extracting #7: cost 27 inf + 56745 251.244 * * [simplify]: Extracting #8: cost 0 inf + 73977 251.259 * * [simplify]: Extracting #9: cost 0 inf + 73699 251.270 * * [simplify]: Extracting #10: cost 0 inf + 73659 251.282 * * [simplify]: Extracting #11: cost 0 inf + 73619 251.293 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) 251.293 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))))) 251.294 * * * * [progress]: [ 271 / 667 ] simplifiying candidate # 251.294 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 251.294 * * [simplify]: iters left: 6 (18 enodes) 251.299 * * [simplify]: iters left: 5 (74 enodes) 251.314 * * [simplify]: iters left: 4 (110 enodes) 251.333 * * [simplify]: iters left: 3 (163 enodes) 251.362 * * [simplify]: iters left: 2 (269 enodes) 251.450 * * [simplify]: iters left: 1 (460 enodes) 251.683 * * [simplify]: Extracting #0: cost 1 inf + 0 251.684 * * [simplify]: Extracting #1: cost 11 inf + 0 251.684 * * [simplify]: Extracting #2: cost 23 inf + 0 251.684 * * [simplify]: Extracting #3: cost 53 inf + 0 251.685 * * [simplify]: Extracting #4: cost 127 inf + 2 251.686 * * [simplify]: Extracting #5: cost 191 inf + 946 251.689 * * [simplify]: Extracting #6: cost 158 inf + 4507 251.697 * * [simplify]: Extracting #7: cost 70 inf + 22491 251.714 * * [simplify]: Extracting #8: cost 15 inf + 57104 251.727 * * [simplify]: Extracting #9: cost 0 inf + 69810 251.739 * * [simplify]: Extracting #10: cost 0 inf + 69310 251.759 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (fabs (cbrt k))) 251.759 * [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))))) (fabs (cbrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))))) 251.760 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) 251.760 * * [simplify]: iters left: 6 (16 enodes) 251.769 * * [simplify]: iters left: 5 (65 enodes) 251.793 * * [simplify]: iters left: 4 (98 enodes) 251.823 * * [simplify]: iters left: 3 (138 enodes) 251.867 * * [simplify]: iters left: 2 (218 enodes) 251.923 * * [simplify]: iters left: 1 (395 enodes) 252.092 * * [simplify]: Extracting #0: cost 1 inf + 0 252.092 * * [simplify]: Extracting #1: cost 6 inf + 0 252.092 * * [simplify]: Extracting #2: cost 12 inf + 0 252.092 * * [simplify]: Extracting #3: cost 41 inf + 0 252.093 * * [simplify]: Extracting #4: cost 111 inf + 446 252.094 * * [simplify]: Extracting #5: cost 154 inf + 1359 252.099 * * [simplify]: Extracting #6: cost 99 inf + 16146 252.106 * * [simplify]: Extracting #7: cost 28 inf + 42099 252.120 * * [simplify]: Extracting #8: cost 0 inf + 63937 252.133 * * [simplify]: Extracting #9: cost 0 inf + 63609 252.156 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 252.156 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 252.156 * * * * [progress]: [ 272 / 667 ] simplifiying candidate # 252.156 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 252.157 * * [simplify]: iters left: 6 (21 enodes) 252.167 * * [simplify]: iters left: 5 (83 enodes) 252.192 * * [simplify]: iters left: 4 (131 enodes) 252.213 * * [simplify]: iters left: 3 (191 enodes) 252.247 * * [simplify]: iters left: 2 (282 enodes) 252.328 * * [simplify]: iters left: 1 (465 enodes) 252.498 * * [simplify]: Extracting #0: cost 1 inf + 0 252.498 * * [simplify]: Extracting #1: cost 15 inf + 0 252.498 * * [simplify]: Extracting #2: cost 31 inf + 0 252.498 * * [simplify]: Extracting #3: cost 66 inf + 0 252.499 * * [simplify]: Extracting #4: cost 146 inf + 1 252.500 * * [simplify]: Extracting #5: cost 200 inf + 384 252.505 * * [simplify]: Extracting #6: cost 140 inf + 9809 252.516 * * [simplify]: Extracting #7: cost 57 inf + 37226 252.538 * * [simplify]: Extracting #8: cost 6 inf + 79647 252.562 * * [simplify]: Extracting #9: cost 0 inf + 84135 252.585 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 252.585 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 252.586 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 252.586 * * [simplify]: iters left: 6 (19 enodes) 252.596 * * [simplify]: iters left: 5 (74 enodes) 252.618 * * [simplify]: iters left: 4 (108 enodes) 252.651 * * [simplify]: iters left: 3 (153 enodes) 252.705 * * [simplify]: iters left: 2 (251 enodes) 252.775 * * [simplify]: iters left: 1 (421 enodes) 252.942 * * [simplify]: Extracting #0: cost 1 inf + 0 252.943 * * [simplify]: Extracting #1: cost 8 inf + 0 252.943 * * [simplify]: Extracting #2: cost 17 inf + 0 252.943 * * [simplify]: Extracting #3: cost 49 inf + 0 252.944 * * [simplify]: Extracting #4: cost 135 inf + 1 252.945 * * [simplify]: Extracting #5: cost 201 inf + 302 252.949 * * [simplify]: Extracting #6: cost 142 inf + 8206 252.964 * * [simplify]: Extracting #7: cost 27 inf + 56505 252.984 * * [simplify]: Extracting #8: cost 0 inf + 73577 252.995 * * [simplify]: Extracting #9: cost 0 inf + 73299 253.008 * * [simplify]: Extracting #10: cost 0 inf + 73259 253.032 * * [simplify]: Extracting #11: cost 0 inf + 73219 253.054 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 253.055 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 253.055 * * * * [progress]: [ 273 / 667 ] simplifiying candidate # 253.055 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) 253.055 * * [simplify]: iters left: 6 (20 enodes) 253.068 * * [simplify]: iters left: 5 (80 enodes) 253.093 * * [simplify]: iters left: 4 (121 enodes) 253.115 * * [simplify]: iters left: 3 (172 enodes) 253.153 * * [simplify]: iters left: 2 (263 enodes) 253.219 * * [simplify]: iters left: 1 (449 enodes) 253.374 * * [simplify]: Extracting #0: cost 1 inf + 0 253.375 * * [simplify]: Extracting #1: cost 9 inf + 0 253.375 * * [simplify]: Extracting #2: cost 16 inf + 1 253.375 * * [simplify]: Extracting #3: cost 48 inf + 1 253.376 * * [simplify]: Extracting #4: cost 134 inf + 2 253.377 * * [simplify]: Extracting #5: cost 177 inf + 843 253.382 * * [simplify]: Extracting #6: cost 113 inf + 13496 253.395 * * [simplify]: Extracting #7: cost 26 inf + 55814 253.406 * * [simplify]: Extracting #8: cost 1 inf + 77709 253.418 * * [simplify]: Extracting #9: cost 0 inf + 76731 253.430 * * [simplify]: Extracting #10: cost 0 inf + 72833 253.452 * * [simplify]: Extracting #11: cost 0 inf + 72651 253.470 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (fabs (cbrt k)))) 253.470 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 253.471 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 253.471 * * [simplify]: iters left: 6 (18 enodes) 253.476 * * [simplify]: iters left: 5 (71 enodes) 253.490 * * [simplify]: iters left: 4 (109 enodes) 253.518 * * [simplify]: iters left: 3 (153 enodes) 253.564 * * [simplify]: iters left: 2 (234 enodes) 253.629 * * [simplify]: iters left: 1 (413 enodes) 253.824 * * [simplify]: Extracting #0: cost 1 inf + 0 253.825 * * [simplify]: Extracting #1: cost 8 inf + 0 253.825 * * [simplify]: Extracting #2: cost 17 inf + 0 253.825 * * [simplify]: Extracting #3: cost 49 inf + 0 253.825 * * [simplify]: Extracting #4: cost 124 inf + 124 253.826 * * [simplify]: Extracting #5: cost 165 inf + 2311 253.829 * * [simplify]: Extracting #6: cost 108 inf + 13623 253.833 * * [simplify]: Extracting #7: cost 64 inf + 20939 253.840 * * [simplify]: Extracting #8: cost 17 inf + 56390 253.851 * * [simplify]: Extracting #9: cost 0 inf + 72125 253.868 * * [simplify]: Extracting #10: cost 0 inf + 71492 253.887 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 253.887 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 253.888 * * * * [progress]: [ 274 / 667 ] simplifiying candidate # 253.888 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 253.888 * * [simplify]: iters left: 6 (21 enodes) 253.899 * * [simplify]: iters left: 5 (83 enodes) 253.924 * * [simplify]: iters left: 4 (131 enodes) 253.966 * * [simplify]: iters left: 3 (191 enodes) 254.009 * * [simplify]: iters left: 2 (282 enodes) 254.111 * * [simplify]: iters left: 1 (465 enodes) 254.288 * * [simplify]: Extracting #0: cost 1 inf + 0 254.288 * * [simplify]: Extracting #1: cost 15 inf + 0 254.288 * * [simplify]: Extracting #2: cost 31 inf + 0 254.289 * * [simplify]: Extracting #3: cost 66 inf + 0 254.289 * * [simplify]: Extracting #4: cost 146 inf + 1 254.290 * * [simplify]: Extracting #5: cost 200 inf + 384 254.292 * * [simplify]: Extracting #6: cost 140 inf + 9809 254.298 * * [simplify]: Extracting #7: cost 57 inf + 37226 254.313 * * [simplify]: Extracting #8: cost 6 inf + 79647 254.325 * * [simplify]: Extracting #9: cost 0 inf + 84135 254.337 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 254.338 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 254.338 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 254.338 * * [simplify]: iters left: 6 (19 enodes) 254.347 * * [simplify]: iters left: 5 (74 enodes) 254.373 * * [simplify]: iters left: 4 (108 enodes) 254.390 * * [simplify]: iters left: 3 (153 enodes) 254.424 * * [simplify]: iters left: 2 (251 enodes) 254.485 * * [simplify]: iters left: 1 (421 enodes) 254.654 * * [simplify]: Extracting #0: cost 1 inf + 0 254.654 * * [simplify]: Extracting #1: cost 8 inf + 0 254.654 * * [simplify]: Extracting #2: cost 17 inf + 0 254.654 * * [simplify]: Extracting #3: cost 49 inf + 0 254.655 * * [simplify]: Extracting #4: cost 135 inf + 1 254.656 * * [simplify]: Extracting #5: cost 201 inf + 302 254.660 * * [simplify]: Extracting #6: cost 142 inf + 8206 254.673 * * [simplify]: Extracting #7: cost 27 inf + 56505 254.684 * * [simplify]: Extracting #8: cost 0 inf + 73577 254.696 * * [simplify]: Extracting #9: cost 0 inf + 73299 254.712 * * [simplify]: Extracting #10: cost 0 inf + 73259 254.735 * * [simplify]: Extracting #11: cost 0 inf + 73219 254.753 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 254.753 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 254.753 * * * * [progress]: [ 275 / 667 ] simplifiying candidate # 254.753 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) 254.753 * * [simplify]: iters left: 6 (19 enodes) 254.761 * * [simplify]: iters left: 5 (77 enodes) 254.773 * * [simplify]: iters left: 4 (114 enodes) 254.799 * * [simplify]: iters left: 3 (172 enodes) 254.830 * * [simplify]: iters left: 2 (284 enodes) 254.906 * * [simplify]: iters left: 1 (470 enodes) 255.077 * * [simplify]: Extracting #0: cost 1 inf + 0 255.077 * * [simplify]: Extracting #1: cost 9 inf + 0 255.077 * * [simplify]: Extracting #2: cost 16 inf + 1 255.078 * * [simplify]: Extracting #3: cost 47 inf + 1 255.078 * * [simplify]: Extracting #4: cost 132 inf + 2 255.080 * * [simplify]: Extracting #5: cost 193 inf + 178 255.083 * * [simplify]: Extracting #6: cost 151 inf + 8259 255.103 * * [simplify]: Extracting #7: cost 21 inf + 62098 255.126 * * [simplify]: Extracting #8: cost 0 inf + 67897 255.142 * * [simplify]: Extracting #9: cost 0 inf + 65965 255.171 * * [simplify]: Extracting #10: cost 0 inf + 65874 255.202 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (fabs (cbrt k)))) 255.203 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 255.203 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 255.204 * * [simplify]: iters left: 6 (18 enodes) 255.213 * * [simplify]: iters left: 5 (71 enodes) 255.236 * * [simplify]: iters left: 4 (109 enodes) 255.268 * * [simplify]: iters left: 3 (153 enodes) 255.316 * * [simplify]: iters left: 2 (234 enodes) 255.401 * * [simplify]: iters left: 1 (413 enodes) 255.548 * * [simplify]: Extracting #0: cost 1 inf + 0 255.548 * * [simplify]: Extracting #1: cost 8 inf + 0 255.548 * * [simplify]: Extracting #2: cost 17 inf + 0 255.548 * * [simplify]: Extracting #3: cost 49 inf + 0 255.548 * * [simplify]: Extracting #4: cost 124 inf + 124 255.549 * * [simplify]: Extracting #5: cost 165 inf + 2311 255.552 * * [simplify]: Extracting #6: cost 108 inf + 13623 255.557 * * [simplify]: Extracting #7: cost 64 inf + 20939 255.567 * * [simplify]: Extracting #8: cost 17 inf + 56390 255.578 * * [simplify]: Extracting #9: cost 0 inf + 72125 255.588 * * [simplify]: Extracting #10: cost 0 inf + 71492 255.604 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 255.604 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 255.604 * * * * [progress]: [ 276 / 667 ] simplifiying candidate # 255.604 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 255.604 * * [simplify]: iters left: 6 (21 enodes) 255.613 * * [simplify]: iters left: 5 (83 enodes) 255.627 * * [simplify]: iters left: 4 (131 enodes) 255.666 * * [simplify]: iters left: 3 (191 enodes) 255.726 * * [simplify]: iters left: 2 (282 enodes) 255.798 * * [simplify]: iters left: 1 (465 enodes) 255.987 * * [simplify]: Extracting #0: cost 1 inf + 0 255.987 * * [simplify]: Extracting #1: cost 15 inf + 0 255.988 * * [simplify]: Extracting #2: cost 31 inf + 0 255.988 * * [simplify]: Extracting #3: cost 66 inf + 0 255.989 * * [simplify]: Extracting #4: cost 146 inf + 1 255.991 * * [simplify]: Extracting #5: cost 200 inf + 384 255.995 * * [simplify]: Extracting #6: cost 140 inf + 9809 256.006 * * [simplify]: Extracting #7: cost 57 inf + 37226 256.028 * * [simplify]: Extracting #8: cost 6 inf + 79647 256.056 * * [simplify]: Extracting #9: cost 0 inf + 84135 256.080 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 256.080 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 256.081 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 256.081 * * [simplify]: iters left: 6 (19 enodes) 256.090 * * [simplify]: iters left: 5 (74 enodes) 256.102 * * [simplify]: iters left: 4 (108 enodes) 256.121 * * [simplify]: iters left: 3 (153 enodes) 256.162 * * [simplify]: iters left: 2 (251 enodes) 256.219 * * [simplify]: iters left: 1 (421 enodes) 256.411 * * [simplify]: Extracting #0: cost 1 inf + 0 256.411 * * [simplify]: Extracting #1: cost 8 inf + 0 256.411 * * [simplify]: Extracting #2: cost 17 inf + 0 256.411 * * [simplify]: Extracting #3: cost 49 inf + 0 256.411 * * [simplify]: Extracting #4: cost 135 inf + 1 256.412 * * [simplify]: Extracting #5: cost 201 inf + 302 256.414 * * [simplify]: Extracting #6: cost 142 inf + 8206 256.422 * * [simplify]: Extracting #7: cost 27 inf + 56505 256.433 * * [simplify]: Extracting #8: cost 0 inf + 73577 256.447 * * [simplify]: Extracting #9: cost 0 inf + 73299 256.470 * * [simplify]: Extracting #10: cost 0 inf + 73259 256.485 * * [simplify]: Extracting #11: cost 0 inf + 73219 256.496 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 256.496 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 256.496 * * * * [progress]: [ 277 / 667 ] simplifiying candidate # 256.497 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) 256.497 * * [simplify]: iters left: 6 (18 enodes) 256.502 * * [simplify]: iters left: 5 (72 enodes) 256.514 * * [simplify]: iters left: 4 (112 enodes) 256.533 * * [simplify]: iters left: 3 (168 enodes) 256.566 * * [simplify]: iters left: 2 (275 enodes) 256.647 * * [simplify]: iters left: 1 (449 enodes) 256.815 * * [simplify]: Extracting #0: cost 1 inf + 0 256.815 * * [simplify]: Extracting #1: cost 9 inf + 0 256.815 * * [simplify]: Extracting #2: cost 16 inf + 1 256.815 * * [simplify]: Extracting #3: cost 46 inf + 1 256.816 * * [simplify]: Extracting #4: cost 127 inf + 2 256.816 * * [simplify]: Extracting #5: cost 182 inf + 260 256.818 * * [simplify]: Extracting #6: cost 127 inf + 7544 256.822 * * [simplify]: Extracting #7: cost 60 inf + 22144 256.838 * * [simplify]: Extracting #8: cost 6 inf + 64799 256.861 * * [simplify]: Extracting #9: cost 0 inf + 70134 256.889 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 256.889 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 256.889 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 256.890 * * [simplify]: iters left: 6 (18 enodes) 256.899 * * [simplify]: iters left: 5 (71 enodes) 256.921 * * [simplify]: iters left: 4 (109 enodes) 256.954 * * [simplify]: iters left: 3 (153 enodes) 256.992 * * [simplify]: iters left: 2 (234 enodes) 257.046 * * [simplify]: iters left: 1 (413 enodes) 257.216 * * [simplify]: Extracting #0: cost 1 inf + 0 257.216 * * [simplify]: Extracting #1: cost 8 inf + 0 257.216 * * [simplify]: Extracting #2: cost 17 inf + 0 257.217 * * [simplify]: Extracting #3: cost 49 inf + 0 257.217 * * [simplify]: Extracting #4: cost 124 inf + 124 257.219 * * [simplify]: Extracting #5: cost 165 inf + 2311 257.224 * * [simplify]: Extracting #6: cost 108 inf + 13623 257.232 * * [simplify]: Extracting #7: cost 64 inf + 20939 257.247 * * [simplify]: Extracting #8: cost 17 inf + 56390 257.267 * * [simplify]: Extracting #9: cost 0 inf + 72125 257.287 * * [simplify]: Extracting #10: cost 0 inf + 71492 257.301 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 257.301 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 257.301 * * * * [progress]: [ 278 / 667 ] simplifiying candidate # 257.301 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 257.301 * * [simplify]: iters left: 6 (19 enodes) 257.307 * * [simplify]: iters left: 5 (78 enodes) 257.322 * * [simplify]: iters left: 4 (129 enodes) 257.359 * * [simplify]: iters left: 3 (219 enodes) 257.404 * * [simplify]: iters left: 2 (368 enodes) 257.491 * * [simplify]: Extracting #0: cost 1 inf + 0 257.491 * * [simplify]: Extracting #1: cost 23 inf + 0 257.491 * * [simplify]: Extracting #2: cost 47 inf + 0 257.491 * * [simplify]: Extracting #3: cost 61 inf + 0 257.492 * * [simplify]: Extracting #4: cost 111 inf + 1 257.493 * * [simplify]: Extracting #5: cost 135 inf + 714 257.496 * * [simplify]: Extracting #6: cost 90 inf + 6876 257.507 * * [simplify]: Extracting #7: cost 35 inf + 27950 257.523 * * [simplify]: Extracting #8: cost 0 inf + 51875 257.540 * * [simplify]: Extracting #9: cost 0 inf + 51835 257.557 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 257.557 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 257.558 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 257.558 * * [simplify]: iters left: 6 (17 enodes) 257.567 * * [simplify]: iters left: 5 (68 enodes) 257.589 * * [simplify]: iters left: 4 (106 enodes) 257.621 * * [simplify]: iters left: 3 (151 enodes) 257.672 * * [simplify]: iters left: 2 (232 enodes) 257.726 * * [simplify]: iters left: 1 (413 enodes) 257.939 * * [simplify]: Extracting #0: cost 1 inf + 0 257.939 * * [simplify]: Extracting #1: cost 8 inf + 0 257.939 * * [simplify]: Extracting #2: cost 16 inf + 0 257.939 * * [simplify]: Extracting #3: cost 45 inf + 0 257.940 * * [simplify]: Extracting #4: cost 128 inf + 1 257.941 * * [simplify]: Extracting #5: cost 182 inf + 219 257.945 * * [simplify]: Extracting #6: cost 131 inf + 9746 257.954 * * [simplify]: Extracting #7: cost 60 inf + 24044 257.970 * * [simplify]: Extracting #8: cost 16 inf + 59241 257.993 * * [simplify]: Extracting #9: cost 0 inf + 73377 258.015 * * [simplify]: Extracting #10: cost 0 inf + 72634 258.042 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 258.042 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 258.042 * * * * [progress]: [ 279 / 667 ] simplifiying candidate # 258.042 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 258.043 * * [simplify]: iters left: 6 (20 enodes) 258.052 * * [simplify]: iters left: 5 (80 enodes) 258.066 * * [simplify]: iters left: 4 (128 enodes) 258.092 * * [simplify]: iters left: 3 (188 enodes) 258.149 * * [simplify]: iters left: 2 (279 enodes) 258.235 * * [simplify]: iters left: 1 (472 enodes) 258.404 * * [simplify]: Extracting #0: cost 1 inf + 0 258.404 * * [simplify]: Extracting #1: cost 15 inf + 0 258.404 * * [simplify]: Extracting #2: cost 32 inf + 0 258.405 * * [simplify]: Extracting #3: cost 65 inf + 0 258.405 * * [simplify]: Extracting #4: cost 152 inf + 1 258.406 * * [simplify]: Extracting #5: cost 205 inf + 590 258.409 * * [simplify]: Extracting #6: cost 129 inf + 11721 258.414 * * [simplify]: Extracting #7: cost 54 inf + 40600 258.426 * * [simplify]: Extracting #8: cost 7 inf + 80018 258.449 * * [simplify]: Extracting #9: cost 0 inf + 86494 258.462 * * [simplify]: Extracting #10: cost 0 inf + 86454 258.475 * [simplify]: Simplified to (/ (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 258.475 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 258.475 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 258.475 * * [simplify]: iters left: 6 (18 enodes) 258.480 * * [simplify]: iters left: 5 (71 enodes) 258.501 * * [simplify]: iters left: 4 (109 enodes) 258.527 * * [simplify]: iters left: 3 (153 enodes) 258.556 * * [simplify]: iters left: 2 (234 enodes) 258.609 * * [simplify]: iters left: 1 (413 enodes) 258.793 * * [simplify]: Extracting #0: cost 1 inf + 0 258.793 * * [simplify]: Extracting #1: cost 8 inf + 0 258.793 * * [simplify]: Extracting #2: cost 17 inf + 0 258.794 * * [simplify]: Extracting #3: cost 48 inf + 0 258.794 * * [simplify]: Extracting #4: cost 127 inf + 1 258.795 * * [simplify]: Extracting #5: cost 180 inf + 343 258.797 * * [simplify]: Extracting #6: cost 123 inf + 10472 258.801 * * [simplify]: Extracting #7: cost 64 inf + 21099 258.808 * * [simplify]: Extracting #8: cost 17 inf + 56550 258.827 * * [simplify]: Extracting #9: cost 0 inf + 72285 258.840 * * [simplify]: Extracting #10: cost 0 inf + 71652 258.851 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 258.851 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 258.851 * * * * [progress]: [ 280 / 667 ] simplifiying candidate # 258.851 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 258.852 * * [simplify]: iters left: 6 (21 enodes) 258.857 * * [simplify]: iters left: 5 (83 enodes) 258.878 * * [simplify]: iters left: 4 (131 enodes) 258.907 * * [simplify]: iters left: 3 (191 enodes) 258.954 * * [simplify]: iters left: 2 (282 enodes) 259.022 * * [simplify]: iters left: 1 (465 enodes) 259.171 * * [simplify]: Extracting #0: cost 1 inf + 0 259.171 * * [simplify]: Extracting #1: cost 15 inf + 0 259.171 * * [simplify]: Extracting #2: cost 31 inf + 0 259.171 * * [simplify]: Extracting #3: cost 66 inf + 0 259.172 * * [simplify]: Extracting #4: cost 146 inf + 1 259.173 * * [simplify]: Extracting #5: cost 200 inf + 384 259.177 * * [simplify]: Extracting #6: cost 141 inf + 9982 259.190 * * [simplify]: Extracting #7: cost 58 inf + 36945 259.216 * * [simplify]: Extracting #8: cost 6 inf + 79607 259.233 * * [simplify]: Extracting #9: cost 0 inf + 84135 259.245 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 259.245 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 259.246 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 259.246 * * [simplify]: iters left: 6 (19 enodes) 259.251 * * [simplify]: iters left: 5 (74 enodes) 259.271 * * [simplify]: iters left: 4 (108 enodes) 259.305 * * [simplify]: iters left: 3 (153 enodes) 259.351 * * [simplify]: iters left: 2 (251 enodes) 259.409 * * [simplify]: iters left: 1 (421 enodes) 259.583 * * [simplify]: Extracting #0: cost 1 inf + 0 259.583 * * [simplify]: Extracting #1: cost 8 inf + 0 259.583 * * [simplify]: Extracting #2: cost 17 inf + 0 259.583 * * [simplify]: Extracting #3: cost 49 inf + 0 259.584 * * [simplify]: Extracting #4: cost 135 inf + 1 259.584 * * [simplify]: Extracting #5: cost 201 inf + 302 259.587 * * [simplify]: Extracting #6: cost 142 inf + 8126 259.601 * * [simplify]: Extracting #7: cost 27 inf + 56465 259.614 * * [simplify]: Extracting #8: cost 0 inf + 73577 259.628 * * [simplify]: Extracting #9: cost 0 inf + 73299 259.649 * * [simplify]: Extracting #10: cost 0 inf + 73259 259.672 * * [simplify]: Extracting #11: cost 0 inf + 73219 259.695 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 259.695 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 259.695 * * * * [progress]: [ 281 / 667 ] simplifiying candidate # 259.696 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 259.696 * * [simplify]: iters left: 6 (17 enodes) 259.705 * * [simplify]: iters left: 5 (70 enodes) 259.717 * * [simplify]: iters left: 4 (110 enodes) 259.736 * * [simplify]: iters left: 3 (162 enodes) 259.788 * * [simplify]: iters left: 2 (248 enodes) 259.874 * * [simplify]: iters left: 1 (427 enodes) 260.044 * * [simplify]: Extracting #0: cost 1 inf + 0 260.044 * * [simplify]: Extracting #1: cost 11 inf + 0 260.044 * * [simplify]: Extracting #2: cost 22 inf + 0 260.044 * * [simplify]: Extracting #3: cost 51 inf + 0 260.045 * * [simplify]: Extracting #4: cost 129 inf + 2 260.046 * * [simplify]: Extracting #5: cost 177 inf + 829 260.051 * * [simplify]: Extracting #6: cost 116 inf + 12891 260.064 * * [simplify]: Extracting #7: cost 34 inf + 45222 260.086 * * [simplify]: Extracting #8: cost 0 inf + 73548 260.107 * * [simplify]: Extracting #9: cost 0 inf + 72584 260.118 * * [simplify]: Extracting #10: cost 0 inf + 72544 260.135 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 260.136 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 260.136 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 260.136 * * [simplify]: iters left: 6 (16 enodes) 260.144 * * [simplify]: iters left: 5 (65 enodes) 260.155 * * [simplify]: iters left: 4 (98 enodes) 260.171 * * [simplify]: iters left: 3 (138 enodes) 260.217 * * [simplify]: iters left: 2 (218 enodes) 260.265 * * [simplify]: iters left: 1 (395 enodes) 260.430 * * [simplify]: Extracting #0: cost 1 inf + 0 260.430 * * [simplify]: Extracting #1: cost 6 inf + 0 260.430 * * [simplify]: Extracting #2: cost 12 inf + 0 260.430 * * [simplify]: Extracting #3: cost 41 inf + 0 260.430 * * [simplify]: Extracting #4: cost 111 inf + 286 260.431 * * [simplify]: Extracting #5: cost 154 inf + 1119 260.433 * * [simplify]: Extracting #6: cost 99 inf + 15746 260.440 * * [simplify]: Extracting #7: cost 28 inf + 41699 260.462 * * [simplify]: Extracting #8: cost 0 inf + 63537 260.486 * * [simplify]: Extracting #9: cost 0 inf + 63209 260.509 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 260.509 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 260.509 * * * * [progress]: [ 282 / 667 ] simplifiying candidate # 260.509 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 260.510 * * [simplify]: iters left: 6 (19 enodes) 260.521 * * [simplify]: iters left: 5 (76 enodes) 260.549 * * [simplify]: iters left: 4 (113 enodes) 260.583 * * [simplify]: iters left: 3 (171 enodes) 260.630 * * [simplify]: iters left: 2 (280 enodes) 260.693 * * [simplify]: iters left: 1 (451 enodes) 260.862 * * [simplify]: Extracting #0: cost 1 inf + 0 260.862 * * [simplify]: Extracting #1: cost 9 inf + 0 260.862 * * [simplify]: Extracting #2: cost 16 inf + 1 260.862 * * [simplify]: Extracting #3: cost 44 inf + 1 260.863 * * [simplify]: Extracting #4: cost 123 inf + 2 260.864 * * [simplify]: Extracting #5: cost 191 inf + 260 260.868 * * [simplify]: Extracting #6: cost 140 inf + 5807 260.877 * * [simplify]: Extracting #7: cost 59 inf + 25726 260.897 * * [simplify]: Extracting #8: cost 13 inf + 59570 260.920 * * [simplify]: Extracting #9: cost 0 inf + 68358 260.944 * * [simplify]: Extracting #10: cost 0 inf + 68226 260.968 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt (sqrt k)))) 260.968 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 260.969 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 260.969 * * [simplify]: iters left: 6 (16 enodes) 260.977 * * [simplify]: iters left: 5 (65 enodes) 260.999 * * [simplify]: iters left: 4 (103 enodes) 261.033 * * [simplify]: iters left: 3 (144 enodes) 261.078 * * [simplify]: iters left: 2 (224 enodes) 261.161 * * [simplify]: iters left: 1 (403 enodes) 261.333 * * [simplify]: Extracting #0: cost 1 inf + 0 261.333 * * [simplify]: Extracting #1: cost 8 inf + 0 261.333 * * [simplify]: Extracting #2: cost 16 inf + 0 261.334 * * [simplify]: Extracting #3: cost 49 inf + 0 261.334 * * [simplify]: Extracting #4: cost 127 inf + 2 261.336 * * [simplify]: Extracting #5: cost 170 inf + 545 261.340 * * [simplify]: Extracting #6: cost 116 inf + 12620 261.351 * * [simplify]: Extracting #7: cost 33 inf + 44484 261.363 * * [simplify]: Extracting #8: cost 0 inf + 74868 261.377 * * [simplify]: Extracting #9: cost 0 inf + 73456 261.391 * * [simplify]: Extracting #10: cost 0 inf + 73055 261.415 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 261.415 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 261.415 * * * * [progress]: [ 283 / 667 ] simplifiying candidate # 261.415 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 261.416 * * [simplify]: iters left: 6 (17 enodes) 261.424 * * [simplify]: iters left: 5 (70 enodes) 261.447 * * [simplify]: iters left: 4 (110 enodes) 261.481 * * [simplify]: iters left: 3 (162 enodes) 261.536 * * [simplify]: iters left: 2 (248 enodes) 261.622 * * [simplify]: iters left: 1 (427 enodes) 261.780 * * [simplify]: Extracting #0: cost 1 inf + 0 261.780 * * [simplify]: Extracting #1: cost 11 inf + 0 261.780 * * [simplify]: Extracting #2: cost 22 inf + 0 261.780 * * [simplify]: Extracting #3: cost 51 inf + 0 261.780 * * [simplify]: Extracting #4: cost 129 inf + 2 261.781 * * [simplify]: Extracting #5: cost 177 inf + 829 261.784 * * [simplify]: Extracting #6: cost 116 inf + 12891 261.790 * * [simplify]: Extracting #7: cost 34 inf + 45222 261.801 * * [simplify]: Extracting #8: cost 0 inf + 73548 261.818 * * [simplify]: Extracting #9: cost 0 inf + 72584 261.840 * * [simplify]: Extracting #10: cost 0 inf + 72544 261.852 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 261.852 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 261.853 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 261.853 * * [simplify]: iters left: 6 (16 enodes) 261.857 * * [simplify]: iters left: 5 (65 enodes) 261.869 * * [simplify]: iters left: 4 (98 enodes) 261.888 * * [simplify]: iters left: 3 (138 enodes) 261.923 * * [simplify]: iters left: 2 (218 enodes) 261.990 * * [simplify]: iters left: 1 (395 enodes) 262.136 * * [simplify]: Extracting #0: cost 1 inf + 0 262.136 * * [simplify]: Extracting #1: cost 6 inf + 0 262.136 * * [simplify]: Extracting #2: cost 12 inf + 0 262.136 * * [simplify]: Extracting #3: cost 41 inf + 0 262.137 * * [simplify]: Extracting #4: cost 111 inf + 286 262.137 * * [simplify]: Extracting #5: cost 154 inf + 1119 262.141 * * [simplify]: Extracting #6: cost 99 inf + 15746 262.156 * * [simplify]: Extracting #7: cost 28 inf + 41699 262.179 * * [simplify]: Extracting #8: cost 0 inf + 63537 262.201 * * [simplify]: Extracting #9: cost 0 inf + 63209 262.225 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 262.225 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 262.226 * * * * [progress]: [ 284 / 667 ] simplifiying candidate # 262.226 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 262.227 * * [simplify]: iters left: 6 (18 enodes) 262.235 * * [simplify]: iters left: 5 (73 enodes) 262.247 * * [simplify]: iters left: 4 (114 enodes) 262.276 * * [simplify]: iters left: 3 (171 enodes) 262.304 * * [simplify]: iters left: 2 (263 enodes) 262.356 * * [simplify]: iters left: 1 (440 enodes) 262.515 * * [simplify]: Extracting #0: cost 1 inf + 0 262.516 * * [simplify]: Extracting #1: cost 9 inf + 0 262.516 * * [simplify]: Extracting #2: cost 16 inf + 1 262.516 * * [simplify]: Extracting #3: cost 46 inf + 1 262.516 * * [simplify]: Extracting #4: cost 121 inf + 2 262.517 * * [simplify]: Extracting #5: cost 177 inf + 343 262.519 * * [simplify]: Extracting #6: cost 129 inf + 7086 262.526 * * [simplify]: Extracting #7: cost 41 inf + 41420 262.546 * * [simplify]: Extracting #8: cost 9 inf + 65514 262.567 * * [simplify]: Extracting #9: cost 1 inf + 69510 262.588 * * [simplify]: Extracting #10: cost 0 inf + 70085 262.604 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 262.604 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 262.605 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 262.605 * * [simplify]: iters left: 6 (16 enodes) 262.610 * * [simplify]: iters left: 5 (65 enodes) 262.621 * * [simplify]: iters left: 4 (103 enodes) 262.646 * * [simplify]: iters left: 3 (144 enodes) 262.685 * * [simplify]: iters left: 2 (224 enodes) 262.747 * * [simplify]: iters left: 1 (403 enodes) 262.885 * * [simplify]: Extracting #0: cost 1 inf + 0 262.885 * * [simplify]: Extracting #1: cost 8 inf + 0 262.885 * * [simplify]: Extracting #2: cost 16 inf + 0 262.885 * * [simplify]: Extracting #3: cost 49 inf + 0 262.886 * * [simplify]: Extracting #4: cost 127 inf + 2 262.887 * * [simplify]: Extracting #5: cost 170 inf + 545 262.892 * * [simplify]: Extracting #6: cost 116 inf + 12620 262.905 * * [simplify]: Extracting #7: cost 33 inf + 44484 262.927 * * [simplify]: Extracting #8: cost 0 inf + 74868 262.941 * * [simplify]: Extracting #9: cost 0 inf + 73456 262.953 * * [simplify]: Extracting #10: cost 0 inf + 73055 262.967 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 262.967 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 262.967 * * * * [progress]: [ 285 / 667 ] simplifiying candidate # 262.968 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 262.968 * * [simplify]: iters left: 6 (17 enodes) 262.977 * * [simplify]: iters left: 5 (70 enodes) 263.000 * * [simplify]: iters left: 4 (110 enodes) 263.034 * * [simplify]: iters left: 3 (162 enodes) 263.085 * * [simplify]: iters left: 2 (248 enodes) 263.131 * * [simplify]: iters left: 1 (427 enodes) 263.319 * * [simplify]: Extracting #0: cost 1 inf + 0 263.319 * * [simplify]: Extracting #1: cost 11 inf + 0 263.319 * * [simplify]: Extracting #2: cost 22 inf + 0 263.319 * * [simplify]: Extracting #3: cost 51 inf + 0 263.320 * * [simplify]: Extracting #4: cost 129 inf + 2 263.321 * * [simplify]: Extracting #5: cost 177 inf + 829 263.326 * * [simplify]: Extracting #6: cost 116 inf + 12891 263.339 * * [simplify]: Extracting #7: cost 34 inf + 45222 263.360 * * [simplify]: Extracting #8: cost 0 inf + 73548 263.382 * * [simplify]: Extracting #9: cost 0 inf + 72584 263.407 * * [simplify]: Extracting #10: cost 0 inf + 72544 263.429 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 263.429 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 263.429 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 263.430 * * [simplify]: iters left: 6 (16 enodes) 263.438 * * [simplify]: iters left: 5 (65 enodes) 263.460 * * [simplify]: iters left: 4 (98 enodes) 263.483 * * [simplify]: iters left: 3 (138 enodes) 263.514 * * [simplify]: iters left: 2 (218 enodes) 263.590 * * [simplify]: iters left: 1 (395 enodes) 263.741 * * [simplify]: Extracting #0: cost 1 inf + 0 263.742 * * [simplify]: Extracting #1: cost 6 inf + 0 263.742 * * [simplify]: Extracting #2: cost 12 inf + 0 263.742 * * [simplify]: Extracting #3: cost 41 inf + 0 263.742 * * [simplify]: Extracting #4: cost 111 inf + 286 263.743 * * [simplify]: Extracting #5: cost 154 inf + 1119 263.745 * * [simplify]: Extracting #6: cost 99 inf + 15746 263.753 * * [simplify]: Extracting #7: cost 28 inf + 41699 263.764 * * [simplify]: Extracting #8: cost 0 inf + 63537 263.784 * * [simplify]: Extracting #9: cost 0 inf + 63209 263.808 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 263.808 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 263.808 * * * * [progress]: [ 286 / 667 ] simplifiying candidate # 263.808 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 1) 263.809 * * [simplify]: iters left: 6 (17 enodes) 263.818 * * [simplify]: iters left: 5 (68 enodes) 263.841 * * [simplify]: iters left: 4 (112 enodes) 263.869 * * [simplify]: iters left: 3 (167 enodes) 263.904 * * [simplify]: iters left: 2 (257 enodes) 263.974 * * [simplify]: iters left: 1 (433 enodes) 264.115 * * [simplify]: Extracting #0: cost 1 inf + 0 264.115 * * [simplify]: Extracting #1: cost 9 inf + 0 264.115 * * [simplify]: Extracting #2: cost 16 inf + 1 264.115 * * [simplify]: Extracting #3: cost 46 inf + 1 264.116 * * [simplify]: Extracting #4: cost 123 inf + 2 264.117 * * [simplify]: Extracting #5: cost 170 inf + 261 264.126 * * [simplify]: Extracting #6: cost 116 inf + 6614 264.133 * * [simplify]: Extracting #7: cost 41 inf + 38575 264.144 * * [simplify]: Extracting #8: cost 1 inf + 69177 264.155 * * [simplify]: Extracting #9: cost 0 inf + 69599 264.174 * * [simplify]: Extracting #10: cost 0 inf + 69348 264.191 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 264.191 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 264.191 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 264.191 * * [simplify]: iters left: 6 (16 enodes) 264.196 * * [simplify]: iters left: 5 (65 enodes) 264.207 * * [simplify]: iters left: 4 (103 enodes) 264.237 * * [simplify]: iters left: 3 (144 enodes) 264.266 * * [simplify]: iters left: 2 (224 enodes) 264.324 * * [simplify]: iters left: 1 (403 enodes) 264.463 * * [simplify]: Extracting #0: cost 1 inf + 0 264.463 * * [simplify]: Extracting #1: cost 8 inf + 0 264.463 * * [simplify]: Extracting #2: cost 16 inf + 0 264.464 * * [simplify]: Extracting #3: cost 49 inf + 0 264.464 * * [simplify]: Extracting #4: cost 127 inf + 2 264.466 * * [simplify]: Extracting #5: cost 170 inf + 545 264.470 * * [simplify]: Extracting #6: cost 116 inf + 12620 264.478 * * [simplify]: Extracting #7: cost 33 inf + 44484 264.489 * * [simplify]: Extracting #8: cost 0 inf + 74868 264.503 * * [simplify]: Extracting #9: cost 0 inf + 73456 264.515 * * [simplify]: Extracting #10: cost 0 inf + 73055 264.527 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 264.527 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 264.527 * * * * [progress]: [ 287 / 667 ] simplifiying candidate # 264.528 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 264.528 * * [simplify]: iters left: 6 (20 enodes) 264.537 * * [simplify]: iters left: 5 (81 enodes) 264.562 * * [simplify]: iters left: 4 (125 enodes) 264.598 * * [simplify]: iters left: 3 (209 enodes) 264.637 * * [simplify]: iters left: 2 (340 enodes) 264.713 * * [simplify]: Extracting #0: cost 1 inf + 0 264.713 * * [simplify]: Extracting #1: cost 13 inf + 0 264.713 * * [simplify]: Extracting #2: cost 24 inf + 1 264.713 * * [simplify]: Extracting #3: cost 38 inf + 1 264.713 * * [simplify]: Extracting #4: cost 87 inf + 2 264.714 * * [simplify]: Extracting #5: cost 116 inf + 338 264.715 * * [simplify]: Extracting #6: cost 78 inf + 5926 264.721 * * [simplify]: Extracting #7: cost 11 inf + 29949 264.733 * * [simplify]: Extracting #8: cost 0 inf + 35437 264.740 * * [simplify]: Extracting #9: cost 0 inf + 35397 264.746 * * [simplify]: Extracting #10: cost 0 inf + 35357 264.753 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 264.753 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 264.753 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 264.753 * * [simplify]: iters left: 6 (16 enodes) 264.758 * * [simplify]: iters left: 5 (65 enodes) 264.774 * * [simplify]: iters left: 4 (103 enodes) 264.791 * * [simplify]: iters left: 3 (144 enodes) 264.826 * * [simplify]: iters left: 2 (224 enodes) 264.906 * * [simplify]: iters left: 1 (403 enodes) 265.044 * * [simplify]: Extracting #0: cost 1 inf + 0 265.045 * * [simplify]: Extracting #1: cost 8 inf + 0 265.045 * * [simplify]: Extracting #2: cost 16 inf + 0 265.045 * * [simplify]: Extracting #3: cost 49 inf + 0 265.045 * * [simplify]: Extracting #4: cost 127 inf + 2 265.046 * * [simplify]: Extracting #5: cost 169 inf + 746 265.048 * * [simplify]: Extracting #6: cost 116 inf + 12980 265.054 * * [simplify]: Extracting #7: cost 33 inf + 44804 265.065 * * [simplify]: Extracting #8: cost 0 inf + 75188 265.086 * * [simplify]: Extracting #9: cost 0 inf + 73776 265.112 * * [simplify]: Extracting #10: cost 0 inf + 73375 265.124 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 265.124 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 265.124 * * * * [progress]: [ 288 / 667 ] simplifiying candidate # 265.124 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 265.124 * * [simplify]: iters left: 6 (20 enodes) 265.132 * * [simplify]: iters left: 5 (80 enodes) 265.145 * * [simplify]: iters left: 4 (122 enodes) 265.177 * * [simplify]: iters left: 3 (183 enodes) 265.224 * * [simplify]: iters left: 2 (269 enodes) 265.280 * * [simplify]: iters left: 1 (458 enodes) 265.422 * * [simplify]: Extracting #0: cost 1 inf + 0 265.422 * * [simplify]: Extracting #1: cost 9 inf + 0 265.422 * * [simplify]: Extracting #2: cost 17 inf + 1 265.423 * * [simplify]: Extracting #3: cost 47 inf + 1 265.423 * * [simplify]: Extracting #4: cost 127 inf + 2 265.424 * * [simplify]: Extracting #5: cost 179 inf + 1430 265.426 * * [simplify]: Extracting #6: cost 107 inf + 16545 265.435 * * [simplify]: Extracting #7: cost 16 inf + 58715 265.449 * * [simplify]: Extracting #8: cost 0 inf + 69970 265.467 * * [simplify]: Extracting #9: cost 0 inf + 69759 265.489 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt (sqrt k)))) 265.489 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 265.490 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 265.490 * * [simplify]: iters left: 6 (17 enodes) 265.499 * * [simplify]: iters left: 5 (68 enodes) 265.521 * * [simplify]: iters left: 4 (106 enodes) 265.553 * * [simplify]: iters left: 3 (151 enodes) 265.604 * * [simplify]: iters left: 2 (232 enodes) 265.688 * * [simplify]: iters left: 1 (413 enodes) 265.843 * * [simplify]: Extracting #0: cost 1 inf + 0 265.843 * * [simplify]: Extracting #1: cost 8 inf + 0 265.843 * * [simplify]: Extracting #2: cost 17 inf + 0 265.843 * * [simplify]: Extracting #3: cost 47 inf + 0 265.844 * * [simplify]: Extracting #4: cost 127 inf + 2 265.844 * * [simplify]: Extracting #5: cost 173 inf + 1286 265.846 * * [simplify]: Extracting #6: cost 124 inf + 10432 265.851 * * [simplify]: Extracting #7: cost 55 inf + 26917 265.863 * * [simplify]: Extracting #8: cost 12 inf + 62323 265.874 * * [simplify]: Extracting #9: cost 0 inf + 72422 265.886 * * [simplify]: Extracting #10: cost 0 inf + 72303 265.907 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 265.907 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 265.907 * * * * [progress]: [ 289 / 667 ] simplifiying candidate # 265.908 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 265.908 * * [simplify]: iters left: 6 (20 enodes) 265.918 * * [simplify]: iters left: 5 (80 enodes) 265.932 * * [simplify]: iters left: 4 (122 enodes) 265.952 * * [simplify]: iters left: 3 (183 enodes) 265.982 * * [simplify]: iters left: 2 (269 enodes) 266.077 * * [simplify]: iters left: 1 (458 enodes) 266.283 * * [simplify]: Extracting #0: cost 1 inf + 0 266.283 * * [simplify]: Extracting #1: cost 9 inf + 0 266.283 * * [simplify]: Extracting #2: cost 16 inf + 1 266.283 * * [simplify]: Extracting #3: cost 46 inf + 1 266.284 * * [simplify]: Extracting #4: cost 127 inf + 2 266.286 * * [simplify]: Extracting #5: cost 179 inf + 1430 266.291 * * [simplify]: Extracting #6: cost 106 inf + 16706 266.304 * * [simplify]: Extracting #7: cost 15 inf + 58876 266.315 * * [simplify]: Extracting #8: cost 0 inf + 69970 266.327 * * [simplify]: Extracting #9: cost 0 inf + 69759 266.353 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (fabs (cbrt k)))) 266.354 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 266.354 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 266.354 * * [simplify]: iters left: 6 (18 enodes) 266.364 * * [simplify]: iters left: 5 (71 enodes) 266.386 * * [simplify]: iters left: 4 (109 enodes) 266.420 * * [simplify]: iters left: 3 (153 enodes) 266.468 * * [simplify]: iters left: 2 (234 enodes) 266.533 * * [simplify]: iters left: 1 (413 enodes) 266.704 * * [simplify]: Extracting #0: cost 1 inf + 0 266.704 * * [simplify]: Extracting #1: cost 8 inf + 0 266.704 * * [simplify]: Extracting #2: cost 17 inf + 0 266.705 * * [simplify]: Extracting #3: cost 49 inf + 0 266.705 * * [simplify]: Extracting #4: cost 123 inf + 365 266.706 * * [simplify]: Extracting #5: cost 163 inf + 2873 266.710 * * [simplify]: Extracting #6: cost 108 inf + 13703 266.718 * * [simplify]: Extracting #7: cost 64 inf + 20939 266.733 * * [simplify]: Extracting #8: cost 17 inf + 56390 266.754 * * [simplify]: Extracting #9: cost 0 inf + 72125 266.774 * * [simplify]: Extracting #10: cost 0 inf + 71492 266.796 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 266.796 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 266.796 * * * * [progress]: [ 290 / 667 ] simplifiying candidate # 266.796 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 266.797 * * [simplify]: iters left: 6 (19 enodes) 266.810 * * [simplify]: iters left: 5 (76 enodes) 266.838 * * [simplify]: iters left: 4 (114 enodes) 266.863 * * [simplify]: iters left: 3 (180 enodes) 266.902 * * [simplify]: iters left: 2 (284 enodes) 266.981 * * [simplify]: iters left: 1 (463 enodes) 267.139 * * [simplify]: Extracting #0: cost 1 inf + 0 267.139 * * [simplify]: Extracting #1: cost 9 inf + 0 267.139 * * [simplify]: Extracting #2: cost 16 inf + 1 267.139 * * [simplify]: Extracting #3: cost 45 inf + 1 267.140 * * [simplify]: Extracting #4: cost 124 inf + 2 267.142 * * [simplify]: Extracting #5: cost 175 inf + 843 267.146 * * [simplify]: Extracting #6: cost 115 inf + 10483 267.158 * * [simplify]: Extracting #7: cost 37 inf + 39385 267.181 * * [simplify]: Extracting #8: cost 2 inf + 70490 267.206 * * [simplify]: Extracting #9: cost 0 inf + 71801 267.220 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 267.220 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 267.220 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 267.220 * * [simplify]: iters left: 6 (16 enodes) 267.225 * * [simplify]: iters left: 5 (65 enodes) 267.236 * * [simplify]: iters left: 4 (103 enodes) 267.266 * * [simplify]: iters left: 3 (144 enodes) 267.293 * * [simplify]: iters left: 2 (224 enodes) 267.363 * * [simplify]: iters left: 1 (403 enodes) 267.511 * * [simplify]: Extracting #0: cost 1 inf + 0 267.511 * * [simplify]: Extracting #1: cost 8 inf + 0 267.511 * * [simplify]: Extracting #2: cost 16 inf + 0 267.511 * * [simplify]: Extracting #3: cost 49 inf + 0 267.512 * * [simplify]: Extracting #4: cost 127 inf + 2 267.512 * * [simplify]: Extracting #5: cost 169 inf + 666 267.515 * * [simplify]: Extracting #6: cost 116 inf + 12660 267.521 * * [simplify]: Extracting #7: cost 33 inf + 44484 267.535 * * [simplify]: Extracting #8: cost 0 inf + 74868 267.549 * * [simplify]: Extracting #9: cost 0 inf + 73456 267.573 * * [simplify]: Extracting #10: cost 0 inf + 73055 267.593 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 267.594 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 267.594 * * * * [progress]: [ 291 / 667 ] simplifiying candidate # 267.594 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) 267.594 * * [simplify]: iters left: 6 (16 enodes) 267.602 * * [simplify]: iters left: 5 (67 enodes) 267.613 * * [simplify]: iters left: 4 (106 enodes) 267.634 * * [simplify]: iters left: 3 (154 enodes) 267.684 * * [simplify]: iters left: 2 (235 enodes) 267.746 * * [simplify]: iters left: 1 (410 enodes) 267.917 * * [simplify]: Extracting #0: cost 1 inf + 0 267.917 * * [simplify]: Extracting #1: cost 5 inf + 0 267.917 * * [simplify]: Extracting #2: cost 7 inf + 1 267.917 * * [simplify]: Extracting #3: cost 34 inf + 1 267.918 * * [simplify]: Extracting #4: cost 106 inf + 2 267.919 * * [simplify]: Extracting #5: cost 164 inf + 176 267.921 * * [simplify]: Extracting #6: cost 166 inf + 478 267.925 * * [simplify]: Extracting #7: cost 99 inf + 9957 267.943 * * [simplify]: Extracting #8: cost 26 inf + 34729 267.958 * * [simplify]: Extracting #9: cost 3 inf + 50382 267.972 * * [simplify]: Extracting #10: cost 0 inf + 52824 267.997 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 267.997 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 267.998 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 267.998 * * [simplify]: iters left: 6 (15 enodes) 268.010 * * [simplify]: iters left: 5 (62 enodes) 268.031 * * [simplify]: iters left: 4 (95 enodes) 268.060 * * [simplify]: iters left: 3 (138 enodes) 268.105 * * [simplify]: iters left: 2 (223 enodes) 268.171 * * [simplify]: iters left: 1 (400 enodes) 268.317 * * [simplify]: Extracting #0: cost 1 inf + 0 268.317 * * [simplify]: Extracting #1: cost 6 inf + 0 268.317 * * [simplify]: Extracting #2: cost 12 inf + 0 268.318 * * [simplify]: Extracting #3: cost 37 inf + 164 268.318 * * [simplify]: Extracting #4: cost 112 inf + 246 268.319 * * [simplify]: Extracting #5: cost 157 inf + 1005 268.322 * * [simplify]: Extracting #6: cost 93 inf + 19311 268.332 * * [simplify]: Extracting #7: cost 5 inf + 66572 268.344 * * [simplify]: Extracting #8: cost 0 inf + 68278 268.363 * * [simplify]: Extracting #9: cost 0 inf + 66875 268.376 * * [simplify]: Extracting #10: cost 0 inf + 65666 268.389 * * [simplify]: Extracting #11: cost 0 inf + 65294 268.409 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 268.409 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 268.410 * * * * [progress]: [ 292 / 667 ] simplifiying candidate # 268.410 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 268.410 * * [simplify]: iters left: 6 (19 enodes) 268.427 * * [simplify]: iters left: 5 (76 enodes) 268.452 * * [simplify]: iters left: 4 (114 enodes) 268.487 * * [simplify]: iters left: 3 (180 enodes) 268.546 * * [simplify]: iters left: 2 (284 enodes) 268.613 * * [simplify]: iters left: 1 (463 enodes) 268.800 * * [simplify]: Extracting #0: cost 1 inf + 0 268.800 * * [simplify]: Extracting #1: cost 9 inf + 0 268.800 * * [simplify]: Extracting #2: cost 16 inf + 1 268.800 * * [simplify]: Extracting #3: cost 45 inf + 1 268.800 * * [simplify]: Extracting #4: cost 124 inf + 2 268.801 * * [simplify]: Extracting #5: cost 175 inf + 843 268.803 * * [simplify]: Extracting #6: cost 115 inf + 10483 268.810 * * [simplify]: Extracting #7: cost 37 inf + 39385 268.821 * * [simplify]: Extracting #8: cost 2 inf + 70490 268.844 * * [simplify]: Extracting #9: cost 0 inf + 71801 268.868 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 268.868 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 268.869 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 268.869 * * [simplify]: iters left: 6 (16 enodes) 268.877 * * [simplify]: iters left: 5 (65 enodes) 268.902 * * [simplify]: iters left: 4 (103 enodes) 268.934 * * [simplify]: iters left: 3 (144 enodes) 268.980 * * [simplify]: iters left: 2 (224 enodes) 269.036 * * [simplify]: iters left: 1 (403 enodes) 269.198 * * [simplify]: Extracting #0: cost 1 inf + 0 269.198 * * [simplify]: Extracting #1: cost 8 inf + 0 269.198 * * [simplify]: Extracting #2: cost 16 inf + 0 269.198 * * [simplify]: Extracting #3: cost 49 inf + 0 269.199 * * [simplify]: Extracting #4: cost 127 inf + 2 269.199 * * [simplify]: Extracting #5: cost 169 inf + 666 269.202 * * [simplify]: Extracting #6: cost 116 inf + 12660 269.208 * * [simplify]: Extracting #7: cost 33 inf + 44484 269.223 * * [simplify]: Extracting #8: cost 0 inf + 74868 269.242 * * [simplify]: Extracting #9: cost 0 inf + 73456 269.266 * * [simplify]: Extracting #10: cost 0 inf + 73055 269.280 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 269.280 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 269.280 * * * * [progress]: [ 293 / 667 ] simplifiying candidate # 269.280 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt 1)) 269.280 * * [simplify]: iters left: 6 (16 enodes) 269.288 * * [simplify]: iters left: 5 (67 enodes) 269.299 * * [simplify]: iters left: 4 (106 enodes) 269.326 * * [simplify]: iters left: 3 (154 enodes) 269.368 * * [simplify]: iters left: 2 (235 enodes) 269.411 * * [simplify]: iters left: 1 (410 enodes) 269.590 * * [simplify]: Extracting #0: cost 1 inf + 0 269.591 * * [simplify]: Extracting #1: cost 5 inf + 0 269.591 * * [simplify]: Extracting #2: cost 7 inf + 1 269.591 * * [simplify]: Extracting #3: cost 34 inf + 1 269.591 * * [simplify]: Extracting #4: cost 106 inf + 2 269.592 * * [simplify]: Extracting #5: cost 164 inf + 176 269.594 * * [simplify]: Extracting #6: cost 166 inf + 478 269.598 * * [simplify]: Extracting #7: cost 99 inf + 9957 269.616 * * [simplify]: Extracting #8: cost 26 inf + 34729 269.637 * * [simplify]: Extracting #9: cost 3 inf + 50382 269.651 * * [simplify]: Extracting #10: cost 0 inf + 52824 269.672 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 269.673 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 269.673 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 269.673 * * [simplify]: iters left: 6 (15 enodes) 269.682 * * [simplify]: iters left: 5 (62 enodes) 269.702 * * [simplify]: iters left: 4 (95 enodes) 269.717 * * [simplify]: iters left: 3 (138 enodes) 269.749 * * [simplify]: iters left: 2 (223 enodes) 269.805 * * [simplify]: iters left: 1 (400 enodes) 269.985 * * [simplify]: Extracting #0: cost 1 inf + 0 269.985 * * [simplify]: Extracting #1: cost 6 inf + 0 269.985 * * [simplify]: Extracting #2: cost 12 inf + 0 269.985 * * [simplify]: Extracting #3: cost 37 inf + 164 269.985 * * [simplify]: Extracting #4: cost 112 inf + 246 269.986 * * [simplify]: Extracting #5: cost 157 inf + 1005 269.989 * * [simplify]: Extracting #6: cost 93 inf + 19311 269.999 * * [simplify]: Extracting #7: cost 5 inf + 66572 270.020 * * [simplify]: Extracting #8: cost 0 inf + 68278 270.039 * * [simplify]: Extracting #9: cost 0 inf + 66875 270.052 * * [simplify]: Extracting #10: cost 0 inf + 65666 270.067 * * [simplify]: Extracting #11: cost 0 inf + 65294 270.087 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 270.088 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 270.088 * * * * [progress]: [ 294 / 667 ] simplifiying candidate # 270.088 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 270.088 * * [simplify]: iters left: 6 (19 enodes) 270.096 * * [simplify]: iters left: 5 (76 enodes) 270.108 * * [simplify]: iters left: 4 (114 enodes) 270.134 * * [simplify]: iters left: 3 (180 enodes) 270.176 * * [simplify]: iters left: 2 (284 enodes) 270.242 * * [simplify]: iters left: 1 (463 enodes) 270.441 * * [simplify]: Extracting #0: cost 1 inf + 0 270.441 * * [simplify]: Extracting #1: cost 9 inf + 0 270.441 * * [simplify]: Extracting #2: cost 16 inf + 1 270.441 * * [simplify]: Extracting #3: cost 45 inf + 1 270.442 * * [simplify]: Extracting #4: cost 124 inf + 2 270.444 * * [simplify]: Extracting #5: cost 175 inf + 843 270.448 * * [simplify]: Extracting #6: cost 115 inf + 10483 270.461 * * [simplify]: Extracting #7: cost 37 inf + 39385 270.483 * * [simplify]: Extracting #8: cost 2 inf + 70490 270.508 * * [simplify]: Extracting #9: cost 0 inf + 71801 270.533 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 270.533 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 270.533 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 270.534 * * [simplify]: iters left: 6 (16 enodes) 270.546 * * [simplify]: iters left: 5 (65 enodes) 270.562 * * [simplify]: iters left: 4 (103 enodes) 270.578 * * [simplify]: iters left: 3 (144 enodes) 270.615 * * [simplify]: iters left: 2 (224 enodes) 270.678 * * [simplify]: iters left: 1 (403 enodes) 270.845 * * [simplify]: Extracting #0: cost 1 inf + 0 270.845 * * [simplify]: Extracting #1: cost 8 inf + 0 270.845 * * [simplify]: Extracting #2: cost 16 inf + 0 270.845 * * [simplify]: Extracting #3: cost 49 inf + 0 270.846 * * [simplify]: Extracting #4: cost 127 inf + 2 270.846 * * [simplify]: Extracting #5: cost 169 inf + 666 270.849 * * [simplify]: Extracting #6: cost 116 inf + 12660 270.858 * * [simplify]: Extracting #7: cost 33 inf + 44484 270.870 * * [simplify]: Extracting #8: cost 0 inf + 74868 270.881 * * [simplify]: Extracting #9: cost 0 inf + 73456 270.893 * * [simplify]: Extracting #10: cost 0 inf + 73055 270.911 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 270.911 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 270.912 * * * * [progress]: [ 295 / 667 ] simplifiying candidate # 270.912 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) 1) 270.912 * * [simplify]: iters left: 6 (16 enodes) 270.924 * * [simplify]: iters left: 5 (65 enodes) 270.936 * * [simplify]: iters left: 4 (104 enodes) 270.955 * * [simplify]: iters left: 3 (149 enodes) 271.000 * * [simplify]: iters left: 2 (229 enodes) 271.062 * * [simplify]: iters left: 1 (415 enodes) 271.225 * * [simplify]: Extracting #0: cost 1 inf + 0 271.225 * * [simplify]: Extracting #1: cost 5 inf + 0 271.225 * * [simplify]: Extracting #2: cost 7 inf + 1 271.225 * * [simplify]: Extracting #3: cost 33 inf + 1 271.226 * * [simplify]: Extracting #4: cost 108 inf + 2 271.227 * * [simplify]: Extracting #5: cost 168 inf + 176 271.228 * * [simplify]: Extracting #6: cost 170 inf + 478 271.230 * * [simplify]: Extracting #7: cost 103 inf + 9587 271.235 * * [simplify]: Extracting #8: cost 39 inf + 32543 271.245 * * [simplify]: Extracting #9: cost 3 inf + 61116 271.268 * * [simplify]: Extracting #10: cost 0 inf + 63102 271.280 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 271.280 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 271.280 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 271.280 * * [simplify]: iters left: 6 (15 enodes) 271.285 * * [simplify]: iters left: 5 (62 enodes) 271.296 * * [simplify]: iters left: 4 (95 enodes) 271.321 * * [simplify]: iters left: 3 (138 enodes) 271.365 * * [simplify]: iters left: 2 (223 enodes) 271.425 * * [simplify]: iters left: 1 (400 enodes) 271.595 * * [simplify]: Extracting #0: cost 1 inf + 0 271.595 * * [simplify]: Extracting #1: cost 6 inf + 0 271.595 * * [simplify]: Extracting #2: cost 12 inf + 0 271.595 * * [simplify]: Extracting #3: cost 37 inf + 164 271.596 * * [simplify]: Extracting #4: cost 112 inf + 246 271.597 * * [simplify]: Extracting #5: cost 157 inf + 1005 271.604 * * [simplify]: Extracting #6: cost 93 inf + 19311 271.615 * * [simplify]: Extracting #7: cost 5 inf + 66572 271.627 * * [simplify]: Extracting #8: cost 0 inf + 68278 271.641 * * [simplify]: Extracting #9: cost 0 inf + 66875 271.667 * * [simplify]: Extracting #10: cost 0 inf + 65666 271.695 * * [simplify]: Extracting #11: cost 0 inf + 65294 271.721 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 271.721 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) 1) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 271.722 * * * * [progress]: [ 296 / 667 ] simplifiying candidate # 271.722 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 271.722 * * [simplify]: iters left: 6 (19 enodes) 271.732 * * [simplify]: iters left: 5 (78 enodes) 271.757 * * [simplify]: iters left: 4 (129 enodes) 271.799 * * [simplify]: iters left: 3 (219 enodes) 271.879 * * [simplify]: iters left: 2 (368 enodes) 271.964 * * [simplify]: Extracting #0: cost 1 inf + 0 271.964 * * [simplify]: Extracting #1: cost 23 inf + 0 271.964 * * [simplify]: Extracting #2: cost 47 inf + 0 271.965 * * [simplify]: Extracting #3: cost 61 inf + 0 271.965 * * [simplify]: Extracting #4: cost 111 inf + 1 271.965 * * [simplify]: Extracting #5: cost 135 inf + 714 271.967 * * [simplify]: Extracting #6: cost 90 inf + 6876 271.971 * * [simplify]: Extracting #7: cost 35 inf + 27950 271.987 * * [simplify]: Extracting #8: cost 0 inf + 51875 272.003 * * [simplify]: Extracting #9: cost 0 inf + 51835 272.019 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 272.019 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 272.019 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 272.019 * * [simplify]: iters left: 6 (17 enodes) 272.024 * * [simplify]: iters left: 5 (68 enodes) 272.036 * * [simplify]: iters left: 4 (106 enodes) 272.062 * * [simplify]: iters left: 3 (151 enodes) 272.109 * * [simplify]: iters left: 2 (232 enodes) 272.170 * * [simplify]: iters left: 1 (413 enodes) 272.361 * * [simplify]: Extracting #0: cost 1 inf + 0 272.361 * * [simplify]: Extracting #1: cost 8 inf + 0 272.361 * * [simplify]: Extracting #2: cost 16 inf + 0 272.361 * * [simplify]: Extracting #3: cost 45 inf + 0 272.362 * * [simplify]: Extracting #4: cost 128 inf + 1 272.362 * * [simplify]: Extracting #5: cost 182 inf + 219 272.366 * * [simplify]: Extracting #6: cost 131 inf + 9746 272.374 * * [simplify]: Extracting #7: cost 60 inf + 24044 272.387 * * [simplify]: Extracting #8: cost 16 inf + 59241 272.401 * * [simplify]: Extracting #9: cost 0 inf + 73377 272.418 * * [simplify]: Extracting #10: cost 0 inf + 72634 272.440 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 272.440 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 272.441 * * * * [progress]: [ 297 / 667 ] simplifiying candidate # 272.442 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 272.442 * * [simplify]: iters left: 6 (20 enodes) 272.452 * * [simplify]: iters left: 5 (80 enodes) 272.473 * * [simplify]: iters left: 4 (128 enodes) 272.493 * * [simplify]: iters left: 3 (188 enodes) 272.535 * * [simplify]: iters left: 2 (279 enodes) 272.604 * * [simplify]: iters left: 1 (472 enodes) 272.769 * * [simplify]: Extracting #0: cost 1 inf + 0 272.769 * * [simplify]: Extracting #1: cost 15 inf + 0 272.769 * * [simplify]: Extracting #2: cost 32 inf + 0 272.770 * * [simplify]: Extracting #3: cost 65 inf + 0 272.770 * * [simplify]: Extracting #4: cost 152 inf + 1 272.772 * * [simplify]: Extracting #5: cost 205 inf + 590 272.777 * * [simplify]: Extracting #6: cost 129 inf + 11721 272.792 * * [simplify]: Extracting #7: cost 54 inf + 40600 272.811 * * [simplify]: Extracting #8: cost 7 inf + 80018 272.824 * * [simplify]: Extracting #9: cost 0 inf + 86494 272.837 * * [simplify]: Extracting #10: cost 0 inf + 86454 272.861 * [simplify]: Simplified to (/ (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 272.861 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 272.862 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 272.862 * * [simplify]: iters left: 6 (18 enodes) 272.872 * * [simplify]: iters left: 5 (71 enodes) 272.889 * * [simplify]: iters left: 4 (109 enodes) 272.909 * * [simplify]: iters left: 3 (153 enodes) 272.948 * * [simplify]: iters left: 2 (234 enodes) 273.008 * * [simplify]: iters left: 1 (413 enodes) 273.195 * * [simplify]: Extracting #0: cost 1 inf + 0 273.195 * * [simplify]: Extracting #1: cost 8 inf + 0 273.195 * * [simplify]: Extracting #2: cost 17 inf + 0 273.195 * * [simplify]: Extracting #3: cost 48 inf + 0 273.196 * * [simplify]: Extracting #4: cost 127 inf + 1 273.197 * * [simplify]: Extracting #5: cost 180 inf + 343 273.200 * * [simplify]: Extracting #6: cost 123 inf + 10472 273.209 * * [simplify]: Extracting #7: cost 64 inf + 21099 273.228 * * [simplify]: Extracting #8: cost 17 inf + 56550 273.248 * * [simplify]: Extracting #9: cost 0 inf + 72285 273.261 * * [simplify]: Extracting #10: cost 0 inf + 71652 273.271 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 273.272 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 273.272 * * * * [progress]: [ 298 / 667 ] simplifiying candidate # 273.272 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 273.272 * * [simplify]: iters left: 6 (21 enodes) 273.278 * * [simplify]: iters left: 5 (83 enodes) 273.292 * * [simplify]: iters left: 4 (131 enodes) 273.317 * * [simplify]: iters left: 3 (191 enodes) 273.367 * * [simplify]: iters left: 2 (282 enodes) 273.444 * * [simplify]: iters left: 1 (465 enodes) 273.618 * * [simplify]: Extracting #0: cost 1 inf + 0 273.618 * * [simplify]: Extracting #1: cost 15 inf + 0 273.618 * * [simplify]: Extracting #2: cost 31 inf + 0 273.618 * * [simplify]: Extracting #3: cost 66 inf + 0 273.618 * * [simplify]: Extracting #4: cost 146 inf + 1 273.619 * * [simplify]: Extracting #5: cost 200 inf + 384 273.621 * * [simplify]: Extracting #6: cost 141 inf + 9982 273.626 * * [simplify]: Extracting #7: cost 58 inf + 36945 273.643 * * [simplify]: Extracting #8: cost 6 inf + 79607 273.656 * * [simplify]: Extracting #9: cost 0 inf + 84135 273.674 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 273.674 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 273.675 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 273.675 * * [simplify]: iters left: 6 (19 enodes) 273.683 * * [simplify]: iters left: 5 (74 enodes) 273.695 * * [simplify]: iters left: 4 (108 enodes) 273.716 * * [simplify]: iters left: 3 (153 enodes) 273.767 * * [simplify]: iters left: 2 (251 enodes) 273.855 * * [simplify]: iters left: 1 (421 enodes) 274.005 * * [simplify]: Extracting #0: cost 1 inf + 0 274.006 * * [simplify]: Extracting #1: cost 8 inf + 0 274.006 * * [simplify]: Extracting #2: cost 17 inf + 0 274.006 * * [simplify]: Extracting #3: cost 49 inf + 0 274.006 * * [simplify]: Extracting #4: cost 135 inf + 1 274.007 * * [simplify]: Extracting #5: cost 201 inf + 302 274.009 * * [simplify]: Extracting #6: cost 142 inf + 8126 274.020 * * [simplify]: Extracting #7: cost 27 inf + 56465 274.036 * * [simplify]: Extracting #8: cost 0 inf + 73577 274.059 * * [simplify]: Extracting #9: cost 0 inf + 73299 274.074 * * [simplify]: Extracting #10: cost 0 inf + 73259 274.087 * * [simplify]: Extracting #11: cost 0 inf + 73219 274.102 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 274.102 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 274.102 * * * * [progress]: [ 299 / 667 ] simplifiying candidate # 274.103 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 274.103 * * [simplify]: iters left: 6 (17 enodes) 274.112 * * [simplify]: iters left: 5 (70 enodes) 274.129 * * [simplify]: iters left: 4 (110 enodes) 274.149 * * [simplify]: iters left: 3 (162 enodes) 274.184 * * [simplify]: iters left: 2 (248 enodes) 274.260 * * [simplify]: iters left: 1 (427 enodes) 274.452 * * [simplify]: Extracting #0: cost 1 inf + 0 274.452 * * [simplify]: Extracting #1: cost 11 inf + 0 274.452 * * [simplify]: Extracting #2: cost 22 inf + 0 274.452 * * [simplify]: Extracting #3: cost 51 inf + 0 274.453 * * [simplify]: Extracting #4: cost 129 inf + 2 274.455 * * [simplify]: Extracting #5: cost 177 inf + 829 274.459 * * [simplify]: Extracting #6: cost 116 inf + 12891 274.469 * * [simplify]: Extracting #7: cost 34 inf + 45222 274.479 * * [simplify]: Extracting #8: cost 0 inf + 73548 274.498 * * [simplify]: Extracting #9: cost 0 inf + 72584 274.519 * * [simplify]: Extracting #10: cost 0 inf + 72544 274.533 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 274.533 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 274.534 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 274.534 * * [simplify]: iters left: 6 (16 enodes) 274.539 * * [simplify]: iters left: 5 (65 enodes) 274.550 * * [simplify]: iters left: 4 (98 enodes) 274.577 * * [simplify]: iters left: 3 (138 enodes) 274.602 * * [simplify]: iters left: 2 (218 enodes) 274.667 * * [simplify]: iters left: 1 (395 enodes) 274.795 * * [simplify]: Extracting #0: cost 1 inf + 0 274.795 * * [simplify]: Extracting #1: cost 6 inf + 0 274.795 * * [simplify]: Extracting #2: cost 12 inf + 0 274.795 * * [simplify]: Extracting #3: cost 41 inf + 0 274.796 * * [simplify]: Extracting #4: cost 111 inf + 286 274.797 * * [simplify]: Extracting #5: cost 154 inf + 1119 274.802 * * [simplify]: Extracting #6: cost 99 inf + 15746 274.816 * * [simplify]: Extracting #7: cost 28 inf + 41699 274.839 * * [simplify]: Extracting #8: cost 0 inf + 63537 274.856 * * [simplify]: Extracting #9: cost 0 inf + 63209 274.871 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 274.871 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 274.871 * * * * [progress]: [ 300 / 667 ] simplifiying candidate # 274.871 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 274.871 * * [simplify]: iters left: 6 (19 enodes) 274.878 * * [simplify]: iters left: 5 (76 enodes) 274.890 * * [simplify]: iters left: 4 (113 enodes) 274.917 * * [simplify]: iters left: 3 (171 enodes) 274.956 * * [simplify]: iters left: 2 (280 enodes) 275.014 * * [simplify]: iters left: 1 (451 enodes) 275.154 * * [simplify]: Extracting #0: cost 1 inf + 0 275.154 * * [simplify]: Extracting #1: cost 9 inf + 0 275.154 * * [simplify]: Extracting #2: cost 16 inf + 1 275.154 * * [simplify]: Extracting #3: cost 44 inf + 1 275.155 * * [simplify]: Extracting #4: cost 123 inf + 2 275.156 * * [simplify]: Extracting #5: cost 191 inf + 260 275.160 * * [simplify]: Extracting #6: cost 140 inf + 5807 275.169 * * [simplify]: Extracting #7: cost 59 inf + 25726 275.190 * * [simplify]: Extracting #8: cost 13 inf + 59570 275.214 * * [simplify]: Extracting #9: cost 0 inf + 68358 275.234 * * [simplify]: Extracting #10: cost 0 inf + 68226 275.250 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt (sqrt k)))) 275.250 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 275.250 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 275.250 * * [simplify]: iters left: 6 (16 enodes) 275.254 * * [simplify]: iters left: 5 (65 enodes) 275.268 * * [simplify]: iters left: 4 (103 enodes) 275.290 * * [simplify]: iters left: 3 (144 enodes) 275.314 * * [simplify]: iters left: 2 (224 enodes) 275.380 * * [simplify]: iters left: 1 (403 enodes) 275.539 * * [simplify]: Extracting #0: cost 1 inf + 0 275.539 * * [simplify]: Extracting #1: cost 8 inf + 0 275.539 * * [simplify]: Extracting #2: cost 16 inf + 0 275.539 * * [simplify]: Extracting #3: cost 49 inf + 0 275.540 * * [simplify]: Extracting #4: cost 127 inf + 2 275.546 * * [simplify]: Extracting #5: cost 170 inf + 545 275.551 * * [simplify]: Extracting #6: cost 116 inf + 12620 275.563 * * [simplify]: Extracting #7: cost 33 inf + 44484 275.585 * * [simplify]: Extracting #8: cost 0 inf + 74868 275.607 * * [simplify]: Extracting #9: cost 0 inf + 73456 275.630 * * [simplify]: Extracting #10: cost 0 inf + 73055 275.650 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 275.650 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 275.651 * * * * [progress]: [ 301 / 667 ] simplifiying candidate # 275.651 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 275.651 * * [simplify]: iters left: 6 (17 enodes) 275.656 * * [simplify]: iters left: 5 (70 enodes) 275.668 * * [simplify]: iters left: 4 (110 enodes) 275.689 * * [simplify]: iters left: 3 (162 enodes) 275.728 * * [simplify]: iters left: 2 (248 enodes) 275.797 * * [simplify]: iters left: 1 (427 enodes) 275.963 * * [simplify]: Extracting #0: cost 1 inf + 0 275.963 * * [simplify]: Extracting #1: cost 11 inf + 0 275.963 * * [simplify]: Extracting #2: cost 22 inf + 0 275.963 * * [simplify]: Extracting #3: cost 51 inf + 0 275.964 * * [simplify]: Extracting #4: cost 129 inf + 2 275.965 * * [simplify]: Extracting #5: cost 177 inf + 829 275.970 * * [simplify]: Extracting #6: cost 116 inf + 12891 275.988 * * [simplify]: Extracting #7: cost 34 inf + 45222 276.009 * * [simplify]: Extracting #8: cost 0 inf + 73548 276.031 * * [simplify]: Extracting #9: cost 0 inf + 72584 276.052 * * [simplify]: Extracting #10: cost 0 inf + 72544 276.073 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 276.074 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 276.074 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 276.074 * * [simplify]: iters left: 6 (16 enodes) 276.083 * * [simplify]: iters left: 5 (65 enodes) 276.104 * * [simplify]: iters left: 4 (98 enodes) 276.137 * * [simplify]: iters left: 3 (138 enodes) 276.165 * * [simplify]: iters left: 2 (218 enodes) 276.217 * * [simplify]: iters left: 1 (395 enodes) 276.351 * * [simplify]: Extracting #0: cost 1 inf + 0 276.351 * * [simplify]: Extracting #1: cost 6 inf + 0 276.351 * * [simplify]: Extracting #2: cost 12 inf + 0 276.351 * * [simplify]: Extracting #3: cost 41 inf + 0 276.352 * * [simplify]: Extracting #4: cost 111 inf + 286 276.353 * * [simplify]: Extracting #5: cost 154 inf + 1119 276.359 * * [simplify]: Extracting #6: cost 99 inf + 15746 276.368 * * [simplify]: Extracting #7: cost 28 inf + 41699 276.379 * * [simplify]: Extracting #8: cost 0 inf + 63537 276.391 * * [simplify]: Extracting #9: cost 0 inf + 63209 276.413 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 276.413 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 276.413 * * * * [progress]: [ 302 / 667 ] simplifiying candidate # 276.414 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 276.414 * * [simplify]: iters left: 6 (18 enodes) 276.420 * * [simplify]: iters left: 5 (73 enodes) 276.432 * * [simplify]: iters left: 4 (114 enodes) 276.459 * * [simplify]: iters left: 3 (171 enodes) 276.488 * * [simplify]: iters left: 2 (263 enodes) 276.546 * * [simplify]: iters left: 1 (440 enodes) 276.691 * * [simplify]: Extracting #0: cost 1 inf + 0 276.691 * * [simplify]: Extracting #1: cost 9 inf + 0 276.691 * * [simplify]: Extracting #2: cost 16 inf + 1 276.691 * * [simplify]: Extracting #3: cost 46 inf + 1 276.691 * * [simplify]: Extracting #4: cost 121 inf + 2 276.692 * * [simplify]: Extracting #5: cost 177 inf + 343 276.694 * * [simplify]: Extracting #6: cost 129 inf + 7086 276.700 * * [simplify]: Extracting #7: cost 41 inf + 41420 276.709 * * [simplify]: Extracting #8: cost 9 inf + 65514 276.720 * * [simplify]: Extracting #9: cost 1 inf + 69510 276.731 * * [simplify]: Extracting #10: cost 0 inf + 70085 276.742 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 276.742 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 276.742 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 276.742 * * [simplify]: iters left: 6 (16 enodes) 276.750 * * [simplify]: iters left: 5 (65 enodes) 276.761 * * [simplify]: iters left: 4 (103 enodes) 276.779 * * [simplify]: iters left: 3 (144 enodes) 276.819 * * [simplify]: iters left: 2 (224 enodes) 276.883 * * [simplify]: iters left: 1 (403 enodes) 276.999 * * [simplify]: Extracting #0: cost 1 inf + 0 276.999 * * [simplify]: Extracting #1: cost 8 inf + 0 277.000 * * [simplify]: Extracting #2: cost 16 inf + 0 277.000 * * [simplify]: Extracting #3: cost 49 inf + 0 277.000 * * [simplify]: Extracting #4: cost 127 inf + 2 277.002 * * [simplify]: Extracting #5: cost 170 inf + 545 277.006 * * [simplify]: Extracting #6: cost 116 inf + 12620 277.024 * * [simplify]: Extracting #7: cost 33 inf + 44484 277.040 * * [simplify]: Extracting #8: cost 0 inf + 74868 277.051 * * [simplify]: Extracting #9: cost 0 inf + 73456 277.063 * * [simplify]: Extracting #10: cost 0 inf + 73055 277.087 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 277.087 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 277.087 * * * * [progress]: [ 303 / 667 ] simplifiying candidate # 277.088 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 277.088 * * [simplify]: iters left: 6 (17 enodes) 277.097 * * [simplify]: iters left: 5 (70 enodes) 277.120 * * [simplify]: iters left: 4 (110 enodes) 277.157 * * [simplify]: iters left: 3 (162 enodes) 277.192 * * [simplify]: iters left: 2 (248 enodes) 277.275 * * [simplify]: iters left: 1 (427 enodes) 277.418 * * [simplify]: Extracting #0: cost 1 inf + 0 277.419 * * [simplify]: Extracting #1: cost 11 inf + 0 277.419 * * [simplify]: Extracting #2: cost 22 inf + 0 277.419 * * [simplify]: Extracting #3: cost 51 inf + 0 277.419 * * [simplify]: Extracting #4: cost 129 inf + 2 277.420 * * [simplify]: Extracting #5: cost 177 inf + 829 277.422 * * [simplify]: Extracting #6: cost 116 inf + 12891 277.432 * * [simplify]: Extracting #7: cost 34 inf + 45222 277.450 * * [simplify]: Extracting #8: cost 0 inf + 73548 277.471 * * [simplify]: Extracting #9: cost 0 inf + 72584 277.492 * * [simplify]: Extracting #10: cost 0 inf + 72544 277.504 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 277.504 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 277.504 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 277.505 * * [simplify]: iters left: 6 (16 enodes) 277.509 * * [simplify]: iters left: 5 (65 enodes) 277.521 * * [simplify]: iters left: 4 (98 enodes) 277.537 * * [simplify]: iters left: 3 (138 enodes) 277.568 * * [simplify]: iters left: 2 (218 enodes) 277.634 * * [simplify]: iters left: 1 (395 enodes) 277.838 * * [simplify]: Extracting #0: cost 1 inf + 0 277.838 * * [simplify]: Extracting #1: cost 6 inf + 0 277.838 * * [simplify]: Extracting #2: cost 12 inf + 0 277.838 * * [simplify]: Extracting #3: cost 41 inf + 0 277.839 * * [simplify]: Extracting #4: cost 111 inf + 286 277.841 * * [simplify]: Extracting #5: cost 154 inf + 1119 277.846 * * [simplify]: Extracting #6: cost 99 inf + 15746 277.859 * * [simplify]: Extracting #7: cost 28 inf + 41699 277.870 * * [simplify]: Extracting #8: cost 0 inf + 63537 277.882 * * [simplify]: Extracting #9: cost 0 inf + 63209 277.902 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 277.902 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 277.902 * * * * [progress]: [ 304 / 667 ] simplifiying candidate # 277.903 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 1) 277.903 * * [simplify]: iters left: 6 (17 enodes) 277.916 * * [simplify]: iters left: 5 (68 enodes) 277.939 * * [simplify]: iters left: 4 (112 enodes) 277.976 * * [simplify]: iters left: 3 (167 enodes) 278.030 * * [simplify]: iters left: 2 (257 enodes) 278.093 * * [simplify]: iters left: 1 (433 enodes) 278.303 * * [simplify]: Extracting #0: cost 1 inf + 0 278.303 * * [simplify]: Extracting #1: cost 9 inf + 0 278.303 * * [simplify]: Extracting #2: cost 16 inf + 1 278.303 * * [simplify]: Extracting #3: cost 46 inf + 1 278.304 * * [simplify]: Extracting #4: cost 123 inf + 2 278.304 * * [simplify]: Extracting #5: cost 170 inf + 261 278.306 * * [simplify]: Extracting #6: cost 116 inf + 6614 278.312 * * [simplify]: Extracting #7: cost 41 inf + 38575 278.322 * * [simplify]: Extracting #8: cost 1 inf + 69177 278.334 * * [simplify]: Extracting #9: cost 0 inf + 69599 278.355 * * [simplify]: Extracting #10: cost 0 inf + 69348 278.374 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 278.374 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 278.374 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 278.374 * * [simplify]: iters left: 6 (16 enodes) 278.382 * * [simplify]: iters left: 5 (65 enodes) 278.393 * * [simplify]: iters left: 4 (103 enodes) 278.415 * * [simplify]: iters left: 3 (144 enodes) 278.461 * * [simplify]: iters left: 2 (224 enodes) 278.521 * * [simplify]: iters left: 1 (403 enodes) 278.690 * * [simplify]: Extracting #0: cost 1 inf + 0 278.690 * * [simplify]: Extracting #1: cost 8 inf + 0 278.691 * * [simplify]: Extracting #2: cost 16 inf + 0 278.691 * * [simplify]: Extracting #3: cost 49 inf + 0 278.691 * * [simplify]: Extracting #4: cost 127 inf + 2 278.693 * * [simplify]: Extracting #5: cost 170 inf + 545 278.697 * * [simplify]: Extracting #6: cost 116 inf + 12620 279.133 * * [simplify]: Extracting #7: cost 33 inf + 44484 279.144 * * [simplify]: Extracting #8: cost 0 inf + 74868 279.155 * * [simplify]: Extracting #9: cost 0 inf + 73456 279.172 * * [simplify]: Extracting #10: cost 0 inf + 73055 279.196 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 279.196 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 279.197 * * * * [progress]: [ 305 / 667 ] simplifiying candidate # 279.197 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 279.197 * * [simplify]: iters left: 6 (19 enodes) 279.208 * * [simplify]: iters left: 5 (78 enodes) 279.233 * * [simplify]: iters left: 4 (122 enodes) 279.278 * * [simplify]: iters left: 3 (206 enodes) 279.348 * * [simplify]: iters left: 2 (340 enodes) 279.433 * * [simplify]: Extracting #0: cost 1 inf + 0 279.433 * * [simplify]: Extracting #1: cost 13 inf + 0 279.434 * * [simplify]: Extracting #2: cost 24 inf + 1 279.434 * * [simplify]: Extracting #3: cost 38 inf + 1 279.434 * * [simplify]: Extracting #4: cost 89 inf + 2 279.435 * * [simplify]: Extracting #5: cost 119 inf + 458 279.438 * * [simplify]: Extracting #6: cost 82 inf + 4962 279.443 * * [simplify]: Extracting #7: cost 34 inf + 16612 279.454 * * [simplify]: Extracting #8: cost 7 inf + 34415 279.466 * * [simplify]: Extracting #9: cost 0 inf + 39473 279.478 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 279.479 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 279.479 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 279.479 * * [simplify]: iters left: 6 (16 enodes) 279.488 * * [simplify]: iters left: 5 (65 enodes) 279.509 * * [simplify]: iters left: 4 (103 enodes) 279.543 * * [simplify]: iters left: 3 (144 enodes) 279.590 * * [simplify]: iters left: 2 (224 enodes) 279.673 * * [simplify]: iters left: 1 (403 enodes) 279.835 * * [simplify]: Extracting #0: cost 1 inf + 0 279.835 * * [simplify]: Extracting #1: cost 8 inf + 0 279.835 * * [simplify]: Extracting #2: cost 16 inf + 0 279.835 * * [simplify]: Extracting #3: cost 49 inf + 0 279.836 * * [simplify]: Extracting #4: cost 127 inf + 2 279.836 * * [simplify]: Extracting #5: cost 169 inf + 746 279.839 * * [simplify]: Extracting #6: cost 116 inf + 12980 279.845 * * [simplify]: Extracting #7: cost 33 inf + 44804 279.864 * * [simplify]: Extracting #8: cost 0 inf + 75188 279.887 * * [simplify]: Extracting #9: cost 0 inf + 73776 279.911 * * [simplify]: Extracting #10: cost 0 inf + 73375 279.934 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 279.934 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 279.935 * * * * [progress]: [ 306 / 667 ] simplifiying candidate # 279.935 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 279.935 * * [simplify]: iters left: 6 (19 enodes) 279.946 * * [simplify]: iters left: 5 (77 enodes) 279.959 * * [simplify]: iters left: 4 (115 enodes) 279.979 * * [simplify]: iters left: 3 (181 enodes) 280.035 * * [simplify]: iters left: 2 (288 enodes) 280.134 * * [simplify]: iters left: 1 (471 enodes) 280.326 * * [simplify]: Extracting #0: cost 1 inf + 0 280.327 * * [simplify]: Extracting #1: cost 9 inf + 0 280.327 * * [simplify]: Extracting #2: cost 17 inf + 1 280.327 * * [simplify]: Extracting #3: cost 47 inf + 1 280.328 * * [simplify]: Extracting #4: cost 132 inf + 2 280.329 * * [simplify]: Extracting #5: cost 185 inf + 136 280.332 * * [simplify]: Extracting #6: cost 148 inf + 3888 280.341 * * [simplify]: Extracting #7: cost 59 inf + 28089 280.365 * * [simplify]: Extracting #8: cost 8 inf + 66614 280.388 * * [simplify]: Extracting #9: cost 0 inf + 74493 280.411 * * [simplify]: Extracting #10: cost 0 inf + 74333 280.433 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt (sqrt k)))) 280.433 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 280.434 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 280.434 * * [simplify]: iters left: 6 (17 enodes) 280.443 * * [simplify]: iters left: 5 (68 enodes) 280.464 * * [simplify]: iters left: 4 (106 enodes) 280.496 * * [simplify]: iters left: 3 (151 enodes) 280.528 * * [simplify]: iters left: 2 (232 enodes) 280.577 * * [simplify]: iters left: 1 (413 enodes) 280.776 * * [simplify]: Extracting #0: cost 1 inf + 0 280.776 * * [simplify]: Extracting #1: cost 8 inf + 0 280.776 * * [simplify]: Extracting #2: cost 17 inf + 0 280.776 * * [simplify]: Extracting #3: cost 47 inf + 0 280.777 * * [simplify]: Extracting #4: cost 127 inf + 2 280.778 * * [simplify]: Extracting #5: cost 173 inf + 1286 280.782 * * [simplify]: Extracting #6: cost 124 inf + 10432 280.791 * * [simplify]: Extracting #7: cost 55 inf + 26917 280.809 * * [simplify]: Extracting #8: cost 12 inf + 62323 280.829 * * [simplify]: Extracting #9: cost 0 inf + 72422 280.843 * * [simplify]: Extracting #10: cost 0 inf + 72303 280.854 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 280.854 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 280.855 * * * * [progress]: [ 307 / 667 ] simplifiying candidate # 280.855 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 280.855 * * [simplify]: iters left: 6 (19 enodes) 280.866 * * [simplify]: iters left: 5 (77 enodes) 280.890 * * [simplify]: iters left: 4 (115 enodes) 280.909 * * [simplify]: iters left: 3 (181 enodes) 280.963 * * [simplify]: iters left: 2 (288 enodes) 281.055 * * [simplify]: iters left: 1 (471 enodes) 281.206 * * [simplify]: Extracting #0: cost 1 inf + 0 281.207 * * [simplify]: Extracting #1: cost 9 inf + 0 281.207 * * [simplify]: Extracting #2: cost 16 inf + 1 281.207 * * [simplify]: Extracting #3: cost 46 inf + 1 281.208 * * [simplify]: Extracting #4: cost 132 inf + 2 281.209 * * [simplify]: Extracting #5: cost 185 inf + 136 281.212 * * [simplify]: Extracting #6: cost 149 inf + 3727 281.221 * * [simplify]: Extracting #7: cost 60 inf + 27928 281.240 * * [simplify]: Extracting #8: cost 8 inf + 66614 281.262 * * [simplify]: Extracting #9: cost 0 inf + 74493 281.290 * * [simplify]: Extracting #10: cost 0 inf + 74333 281.305 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (fabs (cbrt k)))) 281.305 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 281.306 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 281.306 * * [simplify]: iters left: 6 (18 enodes) 281.311 * * [simplify]: iters left: 5 (71 enodes) 281.323 * * [simplify]: iters left: 4 (109 enodes) 281.341 * * [simplify]: iters left: 3 (153 enodes) 281.369 * * [simplify]: iters left: 2 (234 enodes) 281.442 * * [simplify]: iters left: 1 (413 enodes) 281.587 * * [simplify]: Extracting #0: cost 1 inf + 0 281.587 * * [simplify]: Extracting #1: cost 8 inf + 0 281.588 * * [simplify]: Extracting #2: cost 17 inf + 0 281.588 * * [simplify]: Extracting #3: cost 49 inf + 0 281.589 * * [simplify]: Extracting #4: cost 123 inf + 365 281.590 * * [simplify]: Extracting #5: cost 163 inf + 2873 281.595 * * [simplify]: Extracting #6: cost 108 inf + 13703 281.603 * * [simplify]: Extracting #7: cost 64 inf + 20939 281.619 * * [simplify]: Extracting #8: cost 17 inf + 56390 281.631 * * [simplify]: Extracting #9: cost 0 inf + 72125 281.641 * * [simplify]: Extracting #10: cost 0 inf + 71492 281.654 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 281.654 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 281.654 * * * * [progress]: [ 308 / 667 ] simplifiying candidate # 281.654 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 281.654 * * [simplify]: iters left: 6 (18 enodes) 281.661 * * [simplify]: iters left: 5 (73 enodes) 281.673 * * [simplify]: iters left: 4 (115 enodes) 281.693 * * [simplify]: iters left: 3 (180 enodes) 281.724 * * [simplify]: iters left: 2 (271 enodes) 281.817 * * [simplify]: iters left: 1 (449 enodes) 282.010 * * [simplify]: Extracting #0: cost 1 inf + 0 282.010 * * [simplify]: Extracting #1: cost 9 inf + 0 282.010 * * [simplify]: Extracting #2: cost 16 inf + 1 282.011 * * [simplify]: Extracting #3: cost 46 inf + 1 282.011 * * [simplify]: Extracting #4: cost 123 inf + 2 282.013 * * [simplify]: Extracting #5: cost 170 inf + 550 282.016 * * [simplify]: Extracting #6: cost 113 inf + 11088 282.030 * * [simplify]: Extracting #7: cost 23 inf + 53312 282.051 * * [simplify]: Extracting #8: cost 0 inf + 74065 282.073 * * [simplify]: Extracting #9: cost 0 inf + 73784 282.095 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 282.095 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 282.095 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 282.095 * * [simplify]: iters left: 6 (16 enodes) 282.108 * * [simplify]: iters left: 5 (65 enodes) 282.129 * * [simplify]: iters left: 4 (103 enodes) 282.160 * * [simplify]: iters left: 3 (144 enodes) 282.206 * * [simplify]: iters left: 2 (224 enodes) 282.269 * * [simplify]: iters left: 1 (403 enodes) 282.383 * * [simplify]: Extracting #0: cost 1 inf + 0 282.383 * * [simplify]: Extracting #1: cost 8 inf + 0 282.383 * * [simplify]: Extracting #2: cost 16 inf + 0 282.384 * * [simplify]: Extracting #3: cost 49 inf + 0 282.384 * * [simplify]: Extracting #4: cost 127 inf + 2 282.385 * * [simplify]: Extracting #5: cost 169 inf + 666 282.389 * * [simplify]: Extracting #6: cost 116 inf + 12660 282.405 * * [simplify]: Extracting #7: cost 33 inf + 44484 282.421 * * [simplify]: Extracting #8: cost 0 inf + 74868 282.432 * * [simplify]: Extracting #9: cost 0 inf + 73456 282.444 * * [simplify]: Extracting #10: cost 0 inf + 73055 282.467 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 282.467 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 282.468 * * * * [progress]: [ 309 / 667 ] simplifiying candidate # 282.468 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt (sqrt 1))) 282.468 * * [simplify]: iters left: 6 (16 enodes) 282.481 * * [simplify]: iters left: 5 (67 enodes) 282.502 * * [simplify]: iters left: 4 (106 enodes) 282.537 * * [simplify]: iters left: 3 (154 enodes) 282.583 * * [simplify]: iters left: 2 (235 enodes) 282.641 * * [simplify]: iters left: 1 (410 enodes) 282.805 * * [simplify]: Extracting #0: cost 1 inf + 0 282.805 * * [simplify]: Extracting #1: cost 5 inf + 0 282.805 * * [simplify]: Extracting #2: cost 7 inf + 1 282.805 * * [simplify]: Extracting #3: cost 34 inf + 1 282.805 * * [simplify]: Extracting #4: cost 106 inf + 2 282.806 * * [simplify]: Extracting #5: cost 164 inf + 176 282.807 * * [simplify]: Extracting #6: cost 166 inf + 478 282.809 * * [simplify]: Extracting #7: cost 99 inf + 10329 282.818 * * [simplify]: Extracting #8: cost 26 inf + 34729 282.839 * * [simplify]: Extracting #9: cost 3 inf + 50382 282.870 * * [simplify]: Extracting #10: cost 0 inf + 52824 282.897 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 282.897 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 282.897 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 282.898 * * [simplify]: iters left: 6 (15 enodes) 282.906 * * [simplify]: iters left: 5 (62 enodes) 282.923 * * [simplify]: iters left: 4 (95 enodes) 282.938 * * [simplify]: iters left: 3 (138 enodes) 282.961 * * [simplify]: iters left: 2 (223 enodes) 283.018 * * [simplify]: iters left: 1 (400 enodes) 283.207 * * [simplify]: Extracting #0: cost 1 inf + 0 283.207 * * [simplify]: Extracting #1: cost 6 inf + 0 283.207 * * [simplify]: Extracting #2: cost 12 inf + 0 283.207 * * [simplify]: Extracting #3: cost 37 inf + 164 283.208 * * [simplify]: Extracting #4: cost 112 inf + 246 283.209 * * [simplify]: Extracting #5: cost 157 inf + 1005 283.216 * * [simplify]: Extracting #6: cost 93 inf + 19311 283.229 * * [simplify]: Extracting #7: cost 5 inf + 66572 283.242 * * [simplify]: Extracting #8: cost 0 inf + 68278 283.259 * * [simplify]: Extracting #9: cost 0 inf + 66875 283.284 * * [simplify]: Extracting #10: cost 0 inf + 65666 283.310 * * [simplify]: Extracting #11: cost 0 inf + 65294 283.339 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 283.339 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt (sqrt 1))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 283.340 * * * * [progress]: [ 310 / 667 ] simplifiying candidate # 283.340 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 283.340 * * [simplify]: iters left: 6 (18 enodes) 283.351 * * [simplify]: iters left: 5 (73 enodes) 283.375 * * [simplify]: iters left: 4 (115 enodes) 283.411 * * [simplify]: iters left: 3 (180 enodes) 283.456 * * [simplify]: iters left: 2 (271 enodes) 283.514 * * [simplify]: iters left: 1 (449 enodes) 283.721 * * [simplify]: Extracting #0: cost 1 inf + 0 283.721 * * [simplify]: Extracting #1: cost 9 inf + 0 283.721 * * [simplify]: Extracting #2: cost 16 inf + 1 283.721 * * [simplify]: Extracting #3: cost 46 inf + 1 283.721 * * [simplify]: Extracting #4: cost 123 inf + 2 283.722 * * [simplify]: Extracting #5: cost 170 inf + 550 283.724 * * [simplify]: Extracting #6: cost 113 inf + 11088 283.731 * * [simplify]: Extracting #7: cost 23 inf + 53312 283.742 * * [simplify]: Extracting #8: cost 0 inf + 74065 283.752 * * [simplify]: Extracting #9: cost 0 inf + 73784 283.772 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 283.772 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 283.773 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 283.773 * * [simplify]: iters left: 6 (16 enodes) 283.777 * * [simplify]: iters left: 5 (65 enodes) 283.789 * * [simplify]: iters left: 4 (103 enodes) 283.810 * * [simplify]: iters left: 3 (144 enodes) 283.844 * * [simplify]: iters left: 2 (224 enodes) 283.915 * * [simplify]: iters left: 1 (403 enodes) 284.063 * * [simplify]: Extracting #0: cost 1 inf + 0 284.064 * * [simplify]: Extracting #1: cost 8 inf + 0 284.064 * * [simplify]: Extracting #2: cost 16 inf + 0 284.064 * * [simplify]: Extracting #3: cost 49 inf + 0 284.065 * * [simplify]: Extracting #4: cost 127 inf + 2 284.071 * * [simplify]: Extracting #5: cost 169 inf + 666 284.076 * * [simplify]: Extracting #6: cost 116 inf + 12660 284.088 * * [simplify]: Extracting #7: cost 33 inf + 44484 284.106 * * [simplify]: Extracting #8: cost 0 inf + 74868 284.117 * * [simplify]: Extracting #9: cost 0 inf + 73456 284.129 * * [simplify]: Extracting #10: cost 0 inf + 73055 284.147 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 284.148 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 284.148 * * * * [progress]: [ 311 / 667 ] simplifiying candidate # 284.148 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt 1)) 284.149 * * [simplify]: iters left: 6 (15 enodes) 284.158 * * [simplify]: iters left: 5 (64 enodes) 284.178 * * [simplify]: iters left: 4 (104 enodes) 284.212 * * [simplify]: iters left: 3 (148 enodes) 284.255 * * [simplify]: iters left: 2 (230 enodes) 284.310 * * [simplify]: iters left: 1 (406 enodes) 284.474 * * [simplify]: Extracting #0: cost 1 inf + 0 284.474 * * [simplify]: Extracting #1: cost 5 inf + 0 284.474 * * [simplify]: Extracting #2: cost 7 inf + 1 284.474 * * [simplify]: Extracting #3: cost 35 inf + 1 284.474 * * [simplify]: Extracting #4: cost 117 inf + 2 284.475 * * [simplify]: Extracting #5: cost 168 inf + 176 284.476 * * [simplify]: Extracting #6: cost 170 inf + 519 284.478 * * [simplify]: Extracting #7: cost 102 inf + 10292 284.485 * * [simplify]: Extracting #8: cost 21 inf + 53603 284.500 * * [simplify]: Extracting #9: cost 0 inf + 72170 284.512 * * [simplify]: Extracting #10: cost 0 inf + 70032 284.524 * * [simplify]: Extracting #11: cost 0 inf + 69982 284.542 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 284.543 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 284.543 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 284.543 * * [simplify]: iters left: 6 (15 enodes) 284.547 * * [simplify]: iters left: 5 (62 enodes) 284.558 * * [simplify]: iters left: 4 (95 enodes) 284.575 * * [simplify]: iters left: 3 (138 enodes) 284.620 * * [simplify]: iters left: 2 (223 enodes) 284.662 * * [simplify]: iters left: 1 (400 enodes) 284.831 * * [simplify]: Extracting #0: cost 1 inf + 0 284.831 * * [simplify]: Extracting #1: cost 6 inf + 0 284.831 * * [simplify]: Extracting #2: cost 12 inf + 0 284.832 * * [simplify]: Extracting #3: cost 37 inf + 164 284.832 * * [simplify]: Extracting #4: cost 112 inf + 246 284.833 * * [simplify]: Extracting #5: cost 157 inf + 1005 284.836 * * [simplify]: Extracting #6: cost 93 inf + 19311 284.846 * * [simplify]: Extracting #7: cost 5 inf + 66572 284.871 * * [simplify]: Extracting #8: cost 0 inf + 68278 284.896 * * [simplify]: Extracting #9: cost 0 inf + 66875 284.926 * * [simplify]: Extracting #10: cost 0 inf + 65666 284.951 * * [simplify]: Extracting #11: cost 0 inf + 65294 284.976 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 284.976 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 284.977 * * * * [progress]: [ 312 / 667 ] simplifiying candidate # 284.977 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 284.977 * * [simplify]: iters left: 6 (18 enodes) 284.988 * * [simplify]: iters left: 5 (73 enodes) 285.010 * * [simplify]: iters left: 4 (115 enodes) 285.029 * * [simplify]: iters left: 3 (180 enodes) 285.078 * * [simplify]: iters left: 2 (271 enodes) 285.137 * * [simplify]: iters left: 1 (449 enodes) 285.331 * * [simplify]: Extracting #0: cost 1 inf + 0 285.331 * * [simplify]: Extracting #1: cost 9 inf + 0 285.331 * * [simplify]: Extracting #2: cost 16 inf + 1 285.332 * * [simplify]: Extracting #3: cost 46 inf + 1 285.333 * * [simplify]: Extracting #4: cost 123 inf + 2 285.334 * * [simplify]: Extracting #5: cost 170 inf + 550 285.338 * * [simplify]: Extracting #6: cost 113 inf + 11088 285.353 * * [simplify]: Extracting #7: cost 23 inf + 53312 285.378 * * [simplify]: Extracting #8: cost 0 inf + 74065 285.400 * * [simplify]: Extracting #9: cost 0 inf + 73784 285.421 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 285.421 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 285.422 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 285.422 * * [simplify]: iters left: 6 (16 enodes) 285.430 * * [simplify]: iters left: 5 (65 enodes) 285.452 * * [simplify]: iters left: 4 (103 enodes) 285.483 * * [simplify]: iters left: 3 (144 enodes) 285.531 * * [simplify]: iters left: 2 (224 enodes) 285.610 * * [simplify]: iters left: 1 (403 enodes) 285.746 * * [simplify]: Extracting #0: cost 1 inf + 0 285.746 * * [simplify]: Extracting #1: cost 8 inf + 0 285.746 * * [simplify]: Extracting #2: cost 16 inf + 0 285.747 * * [simplify]: Extracting #3: cost 49 inf + 0 285.747 * * [simplify]: Extracting #4: cost 127 inf + 2 285.748 * * [simplify]: Extracting #5: cost 169 inf + 666 285.750 * * [simplify]: Extracting #6: cost 116 inf + 12660 285.756 * * [simplify]: Extracting #7: cost 33 inf + 44484 285.775 * * [simplify]: Extracting #8: cost 0 inf + 74868 285.798 * * [simplify]: Extracting #9: cost 0 inf + 73456 285.814 * * [simplify]: Extracting #10: cost 0 inf + 73055 285.826 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 285.826 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 285.826 * * * * [progress]: [ 313 / 667 ] simplifiying candidate # 285.827 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 1) 285.827 * * [simplify]: iters left: 6 (15 enodes) 285.835 * * [simplify]: iters left: 5 (62 enodes) 285.855 * * [simplify]: iters left: 4 (104 enodes) 285.886 * * [simplify]: iters left: 3 (149 enodes) 285.930 * * [simplify]: iters left: 2 (229 enodes) 285.979 * * [simplify]: iters left: 1 (415 enodes) 286.117 * * [simplify]: Extracting #0: cost 1 inf + 0 286.117 * * [simplify]: Extracting #1: cost 5 inf + 0 286.117 * * [simplify]: Extracting #2: cost 7 inf + 1 286.117 * * [simplify]: Extracting #3: cost 34 inf + 1 286.118 * * [simplify]: Extracting #4: cost 109 inf + 2 286.119 * * [simplify]: Extracting #5: cost 169 inf + 176 286.121 * * [simplify]: Extracting #6: cost 171 inf + 478 286.125 * * [simplify]: Extracting #7: cost 99 inf + 10500 286.136 * * [simplify]: Extracting #8: cost 36 inf + 34352 286.155 * * [simplify]: Extracting #9: cost 5 inf + 60229 286.176 * * [simplify]: Extracting #10: cost 0 inf + 64649 286.198 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 286.198 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 286.199 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 286.199 * * [simplify]: iters left: 6 (15 enodes) 286.207 * * [simplify]: iters left: 5 (62 enodes) 286.228 * * [simplify]: iters left: 4 (95 enodes) 286.256 * * [simplify]: iters left: 3 (138 enodes) 286.282 * * [simplify]: iters left: 2 (223 enodes) 286.332 * * [simplify]: iters left: 1 (400 enodes) 286.488 * * [simplify]: Extracting #0: cost 1 inf + 0 286.488 * * [simplify]: Extracting #1: cost 6 inf + 0 286.488 * * [simplify]: Extracting #2: cost 12 inf + 0 286.488 * * [simplify]: Extracting #3: cost 37 inf + 164 286.489 * * [simplify]: Extracting #4: cost 112 inf + 246 286.490 * * [simplify]: Extracting #5: cost 157 inf + 1005 286.493 * * [simplify]: Extracting #6: cost 93 inf + 19311 286.503 * * [simplify]: Extracting #7: cost 5 inf + 66572 286.515 * * [simplify]: Extracting #8: cost 0 inf + 68278 286.537 * * [simplify]: Extracting #9: cost 0 inf + 66875 286.550 * * [simplify]: Extracting #10: cost 0 inf + 65666 286.563 * * [simplify]: Extracting #11: cost 0 inf + 65294 286.585 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 286.585 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 1) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 286.585 * * * * [progress]: [ 314 / 667 ] simplifiying candidate # 286.585 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 286.586 * * [simplify]: iters left: 6 (19 enodes) 286.595 * * [simplify]: iters left: 5 (78 enodes) 286.608 * * [simplify]: iters left: 4 (129 enodes) 286.635 * * [simplify]: iters left: 3 (219 enodes) 286.680 * * [simplify]: iters left: 2 (368 enodes) 286.812 * * [simplify]: Extracting #0: cost 1 inf + 0 286.812 * * [simplify]: Extracting #1: cost 23 inf + 0 286.813 * * [simplify]: Extracting #2: cost 47 inf + 0 286.813 * * [simplify]: Extracting #3: cost 61 inf + 0 286.813 * * [simplify]: Extracting #4: cost 111 inf + 1 286.815 * * [simplify]: Extracting #5: cost 135 inf + 714 286.817 * * [simplify]: Extracting #6: cost 90 inf + 6876 286.826 * * [simplify]: Extracting #7: cost 35 inf + 27950 286.836 * * [simplify]: Extracting #8: cost 0 inf + 51875 286.844 * * [simplify]: Extracting #9: cost 0 inf + 51835 286.853 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 286.853 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 286.853 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 286.853 * * [simplify]: iters left: 6 (17 enodes) 286.863 * * [simplify]: iters left: 5 (68 enodes) 286.885 * * [simplify]: iters left: 4 (106 enodes) 286.916 * * [simplify]: iters left: 3 (151 enodes) 286.964 * * [simplify]: iters left: 2 (232 enodes) 287.015 * * [simplify]: iters left: 1 (413 enodes) 287.163 * * [simplify]: Extracting #0: cost 1 inf + 0 287.163 * * [simplify]: Extracting #1: cost 8 inf + 0 287.163 * * [simplify]: Extracting #2: cost 16 inf + 0 287.163 * * [simplify]: Extracting #3: cost 45 inf + 0 287.164 * * [simplify]: Extracting #4: cost 128 inf + 1 287.165 * * [simplify]: Extracting #5: cost 182 inf + 219 287.169 * * [simplify]: Extracting #6: cost 131 inf + 9746 287.178 * * [simplify]: Extracting #7: cost 60 inf + 24044 287.194 * * [simplify]: Extracting #8: cost 16 inf + 59241 287.217 * * [simplify]: Extracting #9: cost 0 inf + 73377 287.239 * * [simplify]: Extracting #10: cost 0 inf + 72634 287.254 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 287.254 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 287.254 * * * * [progress]: [ 315 / 667 ] simplifiying candidate # 287.255 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 287.255 * * [simplify]: iters left: 6 (20 enodes) 287.260 * * [simplify]: iters left: 5 (80 enodes) 287.274 * * [simplify]: iters left: 4 (128 enodes) 287.312 * * [simplify]: iters left: 3 (188 enodes) 287.349 * * [simplify]: iters left: 2 (279 enodes) 287.445 * * [simplify]: iters left: 1 (472 enodes) 287.607 * * [simplify]: Extracting #0: cost 1 inf + 0 287.607 * * [simplify]: Extracting #1: cost 15 inf + 0 287.607 * * [simplify]: Extracting #2: cost 32 inf + 0 287.608 * * [simplify]: Extracting #3: cost 65 inf + 0 287.608 * * [simplify]: Extracting #4: cost 152 inf + 1 287.610 * * [simplify]: Extracting #5: cost 205 inf + 590 287.615 * * [simplify]: Extracting #6: cost 129 inf + 11721 287.627 * * [simplify]: Extracting #7: cost 54 inf + 40600 287.650 * * [simplify]: Extracting #8: cost 7 inf + 80018 287.675 * * [simplify]: Extracting #9: cost 0 inf + 86494 287.695 * * [simplify]: Extracting #10: cost 0 inf + 86454 287.711 * [simplify]: Simplified to (/ (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 287.711 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 287.712 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 287.712 * * [simplify]: iters left: 6 (18 enodes) 287.717 * * [simplify]: iters left: 5 (71 enodes) 287.732 * * [simplify]: iters left: 4 (109 enodes) 287.749 * * [simplify]: iters left: 3 (153 enodes) 287.788 * * [simplify]: iters left: 2 (234 enodes) 287.849 * * [simplify]: iters left: 1 (413 enodes) 288.010 * * [simplify]: Extracting #0: cost 1 inf + 0 288.010 * * [simplify]: Extracting #1: cost 8 inf + 0 288.011 * * [simplify]: Extracting #2: cost 17 inf + 0 288.011 * * [simplify]: Extracting #3: cost 48 inf + 0 288.011 * * [simplify]: Extracting #4: cost 127 inf + 1 288.013 * * [simplify]: Extracting #5: cost 180 inf + 343 288.015 * * [simplify]: Extracting #6: cost 123 inf + 10472 288.020 * * [simplify]: Extracting #7: cost 64 inf + 21099 288.028 * * [simplify]: Extracting #8: cost 17 inf + 56550 288.038 * * [simplify]: Extracting #9: cost 0 inf + 72285 288.050 * * [simplify]: Extracting #10: cost 0 inf + 71652 288.070 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 288.070 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 288.071 * * * * [progress]: [ 316 / 667 ] simplifiying candidate # 288.071 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 288.071 * * [simplify]: iters left: 6 (21 enodes) 288.082 * * [simplify]: iters left: 5 (83 enodes) 288.099 * * [simplify]: iters left: 4 (131 enodes) 288.129 * * [simplify]: iters left: 3 (191 enodes) 288.179 * * [simplify]: iters left: 2 (282 enodes) 288.265 * * [simplify]: iters left: 1 (465 enodes) 288.433 * * [simplify]: Extracting #0: cost 1 inf + 0 288.433 * * [simplify]: Extracting #1: cost 15 inf + 0 288.433 * * [simplify]: Extracting #2: cost 31 inf + 0 288.433 * * [simplify]: Extracting #3: cost 66 inf + 0 288.434 * * [simplify]: Extracting #4: cost 146 inf + 1 288.435 * * [simplify]: Extracting #5: cost 200 inf + 384 288.437 * * [simplify]: Extracting #6: cost 141 inf + 9982 288.442 * * [simplify]: Extracting #7: cost 58 inf + 36945 288.453 * * [simplify]: Extracting #8: cost 6 inf + 79607 288.472 * * [simplify]: Extracting #9: cost 0 inf + 84135 288.488 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 288.488 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 288.488 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 288.489 * * [simplify]: iters left: 6 (19 enodes) 288.494 * * [simplify]: iters left: 5 (74 enodes) 288.506 * * [simplify]: iters left: 4 (108 enodes) 288.523 * * [simplify]: iters left: 3 (153 enodes) 288.551 * * [simplify]: iters left: 2 (251 enodes) 288.613 * * [simplify]: iters left: 1 (421 enodes) 288.764 * * [simplify]: Extracting #0: cost 1 inf + 0 288.764 * * [simplify]: Extracting #1: cost 8 inf + 0 288.764 * * [simplify]: Extracting #2: cost 17 inf + 0 288.764 * * [simplify]: Extracting #3: cost 49 inf + 0 288.764 * * [simplify]: Extracting #4: cost 135 inf + 1 288.765 * * [simplify]: Extracting #5: cost 201 inf + 302 288.767 * * [simplify]: Extracting #6: cost 142 inf + 8126 288.775 * * [simplify]: Extracting #7: cost 27 inf + 56465 288.787 * * [simplify]: Extracting #8: cost 0 inf + 73577 288.799 * * [simplify]: Extracting #9: cost 0 inf + 73299 288.810 * * [simplify]: Extracting #10: cost 0 inf + 73259 288.822 * * [simplify]: Extracting #11: cost 0 inf + 73219 288.836 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 288.836 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 288.836 * * * * [progress]: [ 317 / 667 ] simplifiying candidate # 288.837 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 288.837 * * [simplify]: iters left: 6 (17 enodes) 288.842 * * [simplify]: iters left: 5 (70 enodes) 288.865 * * [simplify]: iters left: 4 (110 enodes) 288.891 * * [simplify]: iters left: 3 (162 enodes) 288.920 * * [simplify]: iters left: 2 (248 enodes) 288.979 * * [simplify]: iters left: 1 (427 enodes) 289.143 * * [simplify]: Extracting #0: cost 1 inf + 0 289.143 * * [simplify]: Extracting #1: cost 11 inf + 0 289.143 * * [simplify]: Extracting #2: cost 22 inf + 0 289.143 * * [simplify]: Extracting #3: cost 51 inf + 0 289.144 * * [simplify]: Extracting #4: cost 129 inf + 2 289.145 * * [simplify]: Extracting #5: cost 177 inf + 829 289.147 * * [simplify]: Extracting #6: cost 116 inf + 12891 289.154 * * [simplify]: Extracting #7: cost 34 inf + 45222 289.165 * * [simplify]: Extracting #8: cost 0 inf + 73548 289.177 * * [simplify]: Extracting #9: cost 0 inf + 72584 289.199 * * [simplify]: Extracting #10: cost 0 inf + 72544 289.212 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 289.212 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 289.213 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 289.213 * * [simplify]: iters left: 6 (16 enodes) 289.217 * * [simplify]: iters left: 5 (65 enodes) 289.229 * * [simplify]: iters left: 4 (98 enodes) 289.245 * * [simplify]: iters left: 3 (138 enodes) 289.274 * * [simplify]: iters left: 2 (218 enodes) 289.347 * * [simplify]: iters left: 1 (395 enodes) 289.500 * * [simplify]: Extracting #0: cost 1 inf + 0 289.501 * * [simplify]: Extracting #1: cost 6 inf + 0 289.501 * * [simplify]: Extracting #2: cost 12 inf + 0 289.501 * * [simplify]: Extracting #3: cost 41 inf + 0 289.502 * * [simplify]: Extracting #4: cost 111 inf + 286 289.503 * * [simplify]: Extracting #5: cost 154 inf + 1119 289.507 * * [simplify]: Extracting #6: cost 99 inf + 15746 289.518 * * [simplify]: Extracting #7: cost 28 inf + 41699 289.530 * * [simplify]: Extracting #8: cost 0 inf + 63537 289.544 * * [simplify]: Extracting #9: cost 0 inf + 63209 289.567 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 289.567 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 289.567 * * * * [progress]: [ 318 / 667 ] simplifiying candidate # 289.567 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 289.568 * * [simplify]: iters left: 6 (19 enodes) 289.579 * * [simplify]: iters left: 5 (76 enodes) 289.600 * * [simplify]: iters left: 4 (113 enodes) 289.618 * * [simplify]: iters left: 3 (171 enodes) 289.650 * * [simplify]: iters left: 2 (280 enodes) 289.713 * * [simplify]: iters left: 1 (451 enodes) 289.881 * * [simplify]: Extracting #0: cost 1 inf + 0 289.881 * * [simplify]: Extracting #1: cost 9 inf + 0 289.881 * * [simplify]: Extracting #2: cost 16 inf + 1 289.881 * * [simplify]: Extracting #3: cost 44 inf + 1 289.882 * * [simplify]: Extracting #4: cost 123 inf + 2 289.883 * * [simplify]: Extracting #5: cost 191 inf + 260 289.887 * * [simplify]: Extracting #6: cost 140 inf + 5807 289.897 * * [simplify]: Extracting #7: cost 59 inf + 25726 289.916 * * [simplify]: Extracting #8: cost 13 inf + 59570 289.945 * * [simplify]: Extracting #9: cost 0 inf + 68358 289.968 * * [simplify]: Extracting #10: cost 0 inf + 68226 289.993 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt (sqrt k)))) 289.993 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 289.994 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 289.994 * * [simplify]: iters left: 6 (16 enodes) 290.003 * * [simplify]: iters left: 5 (65 enodes) 290.024 * * [simplify]: iters left: 4 (103 enodes) 290.054 * * [simplify]: iters left: 3 (144 enodes) 290.103 * * [simplify]: iters left: 2 (224 enodes) 290.182 * * [simplify]: iters left: 1 (403 enodes) 290.321 * * [simplify]: Extracting #0: cost 1 inf + 0 290.321 * * [simplify]: Extracting #1: cost 8 inf + 0 290.321 * * [simplify]: Extracting #2: cost 16 inf + 0 290.321 * * [simplify]: Extracting #3: cost 49 inf + 0 290.322 * * [simplify]: Extracting #4: cost 127 inf + 2 290.322 * * [simplify]: Extracting #5: cost 170 inf + 545 290.324 * * [simplify]: Extracting #6: cost 116 inf + 12620 290.331 * * [simplify]: Extracting #7: cost 33 inf + 44484 290.341 * * [simplify]: Extracting #8: cost 0 inf + 74868 290.352 * * [simplify]: Extracting #9: cost 0 inf + 73456 290.365 * * [simplify]: Extracting #10: cost 0 inf + 73055 290.379 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 290.379 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 290.380 * * * * [progress]: [ 319 / 667 ] simplifiying candidate # 290.380 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 290.380 * * [simplify]: iters left: 6 (17 enodes) 290.385 * * [simplify]: iters left: 5 (70 enodes) 290.406 * * [simplify]: iters left: 4 (110 enodes) 290.440 * * [simplify]: iters left: 3 (162 enodes) 290.491 * * [simplify]: iters left: 2 (248 enodes) 290.583 * * [simplify]: iters left: 1 (427 enodes) 290.717 * * [simplify]: Extracting #0: cost 1 inf + 0 290.717 * * [simplify]: Extracting #1: cost 11 inf + 0 290.717 * * [simplify]: Extracting #2: cost 22 inf + 0 290.717 * * [simplify]: Extracting #3: cost 51 inf + 0 290.718 * * [simplify]: Extracting #4: cost 129 inf + 2 290.719 * * [simplify]: Extracting #5: cost 177 inf + 829 290.721 * * [simplify]: Extracting #6: cost 116 inf + 12891 290.727 * * [simplify]: Extracting #7: cost 34 inf + 45222 290.746 * * [simplify]: Extracting #8: cost 0 inf + 73548 290.763 * * [simplify]: Extracting #9: cost 0 inf + 72584 290.774 * * [simplify]: Extracting #10: cost 0 inf + 72544 290.787 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 290.787 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 290.787 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 290.788 * * [simplify]: iters left: 6 (16 enodes) 290.801 * * [simplify]: iters left: 5 (65 enodes) 290.822 * * [simplify]: iters left: 4 (98 enodes) 290.843 * * [simplify]: iters left: 3 (138 enodes) 290.872 * * [simplify]: iters left: 2 (218 enodes) 290.956 * * [simplify]: iters left: 1 (395 enodes) 291.127 * * [simplify]: Extracting #0: cost 1 inf + 0 291.127 * * [simplify]: Extracting #1: cost 6 inf + 0 291.127 * * [simplify]: Extracting #2: cost 12 inf + 0 291.127 * * [simplify]: Extracting #3: cost 41 inf + 0 291.128 * * [simplify]: Extracting #4: cost 111 inf + 286 291.128 * * [simplify]: Extracting #5: cost 154 inf + 1119 291.131 * * [simplify]: Extracting #6: cost 99 inf + 15746 291.142 * * [simplify]: Extracting #7: cost 28 inf + 41699 291.153 * * [simplify]: Extracting #8: cost 0 inf + 63537 291.164 * * [simplify]: Extracting #9: cost 0 inf + 63209 291.186 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 291.187 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 291.187 * * * * [progress]: [ 320 / 667 ] simplifiying candidate # 291.187 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 291.187 * * [simplify]: iters left: 6 (18 enodes) 291.199 * * [simplify]: iters left: 5 (73 enodes) 291.222 * * [simplify]: iters left: 4 (114 enodes) 291.242 * * [simplify]: iters left: 3 (171 enodes) 291.281 * * [simplify]: iters left: 2 (263 enodes) 291.348 * * [simplify]: iters left: 1 (440 enodes) 291.538 * * [simplify]: Extracting #0: cost 1 inf + 0 291.538 * * [simplify]: Extracting #1: cost 9 inf + 0 291.538 * * [simplify]: Extracting #2: cost 16 inf + 1 291.538 * * [simplify]: Extracting #3: cost 46 inf + 1 291.539 * * [simplify]: Extracting #4: cost 121 inf + 2 291.540 * * [simplify]: Extracting #5: cost 177 inf + 343 291.542 * * [simplify]: Extracting #6: cost 129 inf + 7086 291.547 * * [simplify]: Extracting #7: cost 41 inf + 41420 291.557 * * [simplify]: Extracting #8: cost 9 inf + 65514 291.577 * * [simplify]: Extracting #9: cost 1 inf + 69510 291.598 * * [simplify]: Extracting #10: cost 0 inf + 70085 291.619 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 291.619 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 291.620 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 291.620 * * [simplify]: iters left: 6 (16 enodes) 291.628 * * [simplify]: iters left: 5 (65 enodes) 291.650 * * [simplify]: iters left: 4 (103 enodes) 291.681 * * [simplify]: iters left: 3 (144 enodes) 291.730 * * [simplify]: iters left: 2 (224 enodes) 291.785 * * [simplify]: iters left: 1 (403 enodes) 291.964 * * [simplify]: Extracting #0: cost 1 inf + 0 291.964 * * [simplify]: Extracting #1: cost 8 inf + 0 291.964 * * [simplify]: Extracting #2: cost 16 inf + 0 291.964 * * [simplify]: Extracting #3: cost 49 inf + 0 291.965 * * [simplify]: Extracting #4: cost 127 inf + 2 291.967 * * [simplify]: Extracting #5: cost 170 inf + 545 291.971 * * [simplify]: Extracting #6: cost 116 inf + 12620 291.983 * * [simplify]: Extracting #7: cost 33 inf + 44484 292.005 * * [simplify]: Extracting #8: cost 0 inf + 74868 292.027 * * [simplify]: Extracting #9: cost 0 inf + 73456 292.043 * * [simplify]: Extracting #10: cost 0 inf + 73055 292.054 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 292.055 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 292.055 * * * * [progress]: [ 321 / 667 ] simplifiying candidate # 292.055 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 292.055 * * [simplify]: iters left: 6 (17 enodes) 292.063 * * [simplify]: iters left: 5 (70 enodes) 292.085 * * [simplify]: iters left: 4 (110 enodes) 292.104 * * [simplify]: iters left: 3 (162 enodes) 292.137 * * [simplify]: iters left: 2 (248 enodes) 292.207 * * [simplify]: iters left: 1 (427 enodes) 292.402 * * [simplify]: Extracting #0: cost 1 inf + 0 292.402 * * [simplify]: Extracting #1: cost 11 inf + 0 292.402 * * [simplify]: Extracting #2: cost 22 inf + 0 292.403 * * [simplify]: Extracting #3: cost 51 inf + 0 292.403 * * [simplify]: Extracting #4: cost 129 inf + 2 292.405 * * [simplify]: Extracting #5: cost 177 inf + 829 292.409 * * [simplify]: Extracting #6: cost 116 inf + 12891 292.423 * * [simplify]: Extracting #7: cost 34 inf + 45222 292.443 * * [simplify]: Extracting #8: cost 0 inf + 73548 292.465 * * [simplify]: Extracting #9: cost 0 inf + 72584 292.486 * * [simplify]: Extracting #10: cost 0 inf + 72544 292.507 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 292.507 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 292.508 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 292.508 * * [simplify]: iters left: 6 (16 enodes) 292.517 * * [simplify]: iters left: 5 (65 enodes) 292.532 * * [simplify]: iters left: 4 (98 enodes) 292.548 * * [simplify]: iters left: 3 (138 enodes) 292.587 * * [simplify]: iters left: 2 (218 enodes) 292.648 * * [simplify]: iters left: 1 (395 enodes) 292.820 * * [simplify]: Extracting #0: cost 1 inf + 0 292.821 * * [simplify]: Extracting #1: cost 6 inf + 0 292.821 * * [simplify]: Extracting #2: cost 12 inf + 0 292.821 * * [simplify]: Extracting #3: cost 41 inf + 0 292.822 * * [simplify]: Extracting #4: cost 111 inf + 286 292.823 * * [simplify]: Extracting #5: cost 154 inf + 1119 292.828 * * [simplify]: Extracting #6: cost 99 inf + 15746 292.842 * * [simplify]: Extracting #7: cost 28 inf + 41699 292.869 * * [simplify]: Extracting #8: cost 0 inf + 63537 292.892 * * [simplify]: Extracting #9: cost 0 inf + 63209 292.913 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 292.913 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 292.913 * * * * [progress]: [ 322 / 667 ] simplifiying candidate # 292.913 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 1) 292.913 * * [simplify]: iters left: 6 (17 enodes) 292.918 * * [simplify]: iters left: 5 (68 enodes) 292.930 * * [simplify]: iters left: 4 (112 enodes) 292.957 * * [simplify]: iters left: 3 (167 enodes) 292.997 * * [simplify]: iters left: 2 (257 enodes) 293.065 * * [simplify]: iters left: 1 (433 enodes) 293.244 * * [simplify]: Extracting #0: cost 1 inf + 0 293.244 * * [simplify]: Extracting #1: cost 9 inf + 0 293.244 * * [simplify]: Extracting #2: cost 16 inf + 1 293.244 * * [simplify]: Extracting #3: cost 46 inf + 1 293.245 * * [simplify]: Extracting #4: cost 123 inf + 2 293.246 * * [simplify]: Extracting #5: cost 170 inf + 261 293.250 * * [simplify]: Extracting #6: cost 116 inf + 6614 293.261 * * [simplify]: Extracting #7: cost 41 inf + 38575 293.278 * * [simplify]: Extracting #8: cost 1 inf + 69177 293.292 * * [simplify]: Extracting #9: cost 0 inf + 69599 293.303 * * [simplify]: Extracting #10: cost 0 inf + 69348 293.325 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 293.325 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 293.326 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 293.326 * * [simplify]: iters left: 6 (16 enodes) 293.335 * * [simplify]: iters left: 5 (65 enodes) 293.356 * * [simplify]: iters left: 4 (103 enodes) 293.384 * * [simplify]: iters left: 3 (144 enodes) 293.411 * * [simplify]: iters left: 2 (224 enodes) 293.461 * * [simplify]: iters left: 1 (403 enodes) 293.596 * * [simplify]: Extracting #0: cost 1 inf + 0 293.596 * * [simplify]: Extracting #1: cost 8 inf + 0 293.596 * * [simplify]: Extracting #2: cost 16 inf + 0 293.596 * * [simplify]: Extracting #3: cost 49 inf + 0 293.596 * * [simplify]: Extracting #4: cost 127 inf + 2 293.597 * * [simplify]: Extracting #5: cost 170 inf + 545 293.599 * * [simplify]: Extracting #6: cost 116 inf + 12620 293.606 * * [simplify]: Extracting #7: cost 33 inf + 44484 293.618 * * [simplify]: Extracting #8: cost 0 inf + 74868 293.641 * * [simplify]: Extracting #9: cost 0 inf + 73456 293.654 * * [simplify]: Extracting #10: cost 0 inf + 73055 293.666 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 293.666 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 293.666 * * * * [progress]: [ 323 / 667 ] simplifiying candidate # 293.666 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 293.666 * * [simplify]: iters left: 6 (18 enodes) 293.677 * * [simplify]: iters left: 5 (73 enodes) 293.702 * * [simplify]: iters left: 4 (133 enodes) 293.740 * * [simplify]: iters left: 3 (214 enodes) 293.789 * * [simplify]: iters left: 2 (351 enodes) 293.885 * * [simplify]: Extracting #0: cost 1 inf + 0 293.885 * * [simplify]: Extracting #1: cost 13 inf + 0 293.885 * * [simplify]: Extracting #2: cost 24 inf + 1 293.885 * * [simplify]: Extracting #3: cost 38 inf + 1 293.885 * * [simplify]: Extracting #4: cost 90 inf + 2 293.886 * * [simplify]: Extracting #5: cost 124 inf + 50 293.889 * * [simplify]: Extracting #6: cost 88 inf + 4338 293.893 * * [simplify]: Extracting #7: cost 29 inf + 21934 293.898 * * [simplify]: Extracting #8: cost 4 inf + 34967 293.907 * * [simplify]: Extracting #9: cost 0 inf + 37619 293.920 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 293.920 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 293.921 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 293.921 * * [simplify]: iters left: 6 (16 enodes) 293.929 * * [simplify]: iters left: 5 (65 enodes) 293.945 * * [simplify]: iters left: 4 (103 enodes) 293.961 * * [simplify]: iters left: 3 (144 enodes) 294.003 * * [simplify]: iters left: 2 (224 enodes) 294.058 * * [simplify]: iters left: 1 (403 enodes) 294.185 * * [simplify]: Extracting #0: cost 1 inf + 0 294.186 * * [simplify]: Extracting #1: cost 8 inf + 0 294.186 * * [simplify]: Extracting #2: cost 16 inf + 0 294.186 * * [simplify]: Extracting #3: cost 49 inf + 0 294.186 * * [simplify]: Extracting #4: cost 127 inf + 2 294.187 * * [simplify]: Extracting #5: cost 169 inf + 746 294.189 * * [simplify]: Extracting #6: cost 116 inf + 12980 294.200 * * [simplify]: Extracting #7: cost 33 inf + 44804 294.212 * * [simplify]: Extracting #8: cost 0 inf + 75188 294.224 * * [simplify]: Extracting #9: cost 0 inf + 73776 294.236 * * [simplify]: Extracting #10: cost 0 inf + 73375 294.255 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 294.256 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 294.256 * * * * [progress]: [ 324 / 667 ] simplifiying candidate # 294.256 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 294.256 * * [simplify]: iters left: 6 (18 enodes) 294.265 * * [simplify]: iters left: 5 (72 enodes) 294.277 * * [simplify]: iters left: 4 (117 enodes) 294.311 * * [simplify]: iters left: 3 (175 enodes) 294.350 * * [simplify]: iters left: 2 (285 enodes) 294.412 * * [simplify]: iters left: 1 (467 enodes) 294.596 * * [simplify]: Extracting #0: cost 1 inf + 0 294.596 * * [simplify]: Extracting #1: cost 9 inf + 0 294.596 * * [simplify]: Extracting #2: cost 17 inf + 1 294.596 * * [simplify]: Extracting #3: cost 47 inf + 1 294.596 * * [simplify]: Extracting #4: cost 121 inf + 2 294.597 * * [simplify]: Extracting #5: cost 171 inf + 1637 294.600 * * [simplify]: Extracting #6: cost 108 inf + 14880 294.606 * * [simplify]: Extracting #7: cost 39 inf + 38648 294.617 * * [simplify]: Extracting #8: cost 1 inf + 67418 294.634 * * [simplify]: Extracting #9: cost 0 inf + 66232 294.646 * * [simplify]: Extracting #10: cost 0 inf + 66152 294.661 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt (sqrt k)))) 294.661 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 294.662 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 294.662 * * [simplify]: iters left: 6 (17 enodes) 294.670 * * [simplify]: iters left: 5 (68 enodes) 294.692 * * [simplify]: iters left: 4 (106 enodes) 294.711 * * [simplify]: iters left: 3 (151 enodes) 294.755 * * [simplify]: iters left: 2 (232 enodes) 294.816 * * [simplify]: iters left: 1 (413 enodes) 294.962 * * [simplify]: Extracting #0: cost 1 inf + 0 294.962 * * [simplify]: Extracting #1: cost 8 inf + 0 294.962 * * [simplify]: Extracting #2: cost 17 inf + 0 294.963 * * [simplify]: Extracting #3: cost 47 inf + 0 294.963 * * [simplify]: Extracting #4: cost 127 inf + 2 294.965 * * [simplify]: Extracting #5: cost 173 inf + 1286 294.968 * * [simplify]: Extracting #6: cost 124 inf + 10432 294.978 * * [simplify]: Extracting #7: cost 55 inf + 26917 294.995 * * [simplify]: Extracting #8: cost 12 inf + 62323 295.006 * * [simplify]: Extracting #9: cost 0 inf + 72422 295.018 * * [simplify]: Extracting #10: cost 0 inf + 72303 295.036 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 295.036 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 295.036 * * * * [progress]: [ 325 / 667 ] simplifiying candidate # 295.037 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 295.037 * * [simplify]: iters left: 6 (18 enodes) 295.046 * * [simplify]: iters left: 5 (72 enodes) 295.069 * * [simplify]: iters left: 4 (117 enodes) 295.095 * * [simplify]: iters left: 3 (175 enodes) 295.127 * * [simplify]: iters left: 2 (285 enodes) 295.204 * * [simplify]: iters left: 1 (467 enodes) 295.382 * * [simplify]: Extracting #0: cost 1 inf + 0 295.382 * * [simplify]: Extracting #1: cost 9 inf + 0 295.382 * * [simplify]: Extracting #2: cost 16 inf + 1 295.382 * * [simplify]: Extracting #3: cost 46 inf + 1 295.383 * * [simplify]: Extracting #4: cost 121 inf + 2 295.384 * * [simplify]: Extracting #5: cost 171 inf + 1637 295.386 * * [simplify]: Extracting #6: cost 105 inf + 16109 295.393 * * [simplify]: Extracting #7: cost 33 inf + 42762 295.411 * * [simplify]: Extracting #8: cost 1 inf + 67929 295.433 * * [simplify]: Extracting #9: cost 0 inf + 66996 295.453 * * [simplify]: Extracting #10: cost 0 inf + 66658 295.464 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (fabs (cbrt k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) 295.464 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (fabs (cbrt k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 295.465 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 295.465 * * [simplify]: iters left: 6 (18 enodes) 295.473 * * [simplify]: iters left: 5 (71 enodes) 295.491 * * [simplify]: iters left: 4 (109 enodes) 295.522 * * [simplify]: iters left: 3 (153 enodes) 295.558 * * [simplify]: iters left: 2 (234 enodes) 295.621 * * [simplify]: iters left: 1 (413 enodes) 295.766 * * [simplify]: Extracting #0: cost 1 inf + 0 295.766 * * [simplify]: Extracting #1: cost 8 inf + 0 295.766 * * [simplify]: Extracting #2: cost 17 inf + 0 295.766 * * [simplify]: Extracting #3: cost 49 inf + 0 295.767 * * [simplify]: Extracting #4: cost 123 inf + 365 295.767 * * [simplify]: Extracting #5: cost 163 inf + 2873 295.770 * * [simplify]: Extracting #6: cost 108 inf + 13703 295.774 * * [simplify]: Extracting #7: cost 64 inf + 20939 295.782 * * [simplify]: Extracting #8: cost 17 inf + 56390 295.792 * * [simplify]: Extracting #9: cost 0 inf + 72125 295.802 * * [simplify]: Extracting #10: cost 0 inf + 71492 295.812 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 295.812 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 295.812 * * * * [progress]: [ 326 / 667 ] simplifiying candidate # 295.812 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt (sqrt (sqrt k)))) 295.813 * * [simplify]: iters left: 6 (17 enodes) 295.818 * * [simplify]: iters left: 5 (68 enodes) 295.830 * * [simplify]: iters left: 4 (117 enodes) 295.866 * * [simplify]: iters left: 3 (174 enodes) 295.894 * * [simplify]: iters left: 2 (267 enodes) 295.977 * * [simplify]: iters left: 1 (442 enodes) 296.127 * * [simplify]: Extracting #0: cost 1 inf + 0 296.128 * * [simplify]: Extracting #1: cost 9 inf + 0 296.128 * * [simplify]: Extracting #2: cost 16 inf + 1 296.128 * * [simplify]: Extracting #3: cost 45 inf + 1 296.134 * * [simplify]: Extracting #4: cost 125 inf + 2 296.136 * * [simplify]: Extracting #5: cost 171 inf + 760 296.140 * * [simplify]: Extracting #6: cost 118 inf + 9526 296.150 * * [simplify]: Extracting #7: cost 49 inf + 29081 296.169 * * [simplify]: Extracting #8: cost 5 inf + 63111 296.194 * * [simplify]: Extracting #9: cost 0 inf + 67715 296.210 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 296.210 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 296.210 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 296.210 * * [simplify]: iters left: 6 (16 enodes) 296.215 * * [simplify]: iters left: 5 (65 enodes) 296.226 * * [simplify]: iters left: 4 (103 enodes) 296.249 * * [simplify]: iters left: 3 (144 enodes) 296.299 * * [simplify]: iters left: 2 (224 enodes) 296.380 * * [simplify]: iters left: 1 (403 enodes) 296.559 * * [simplify]: Extracting #0: cost 1 inf + 0 296.559 * * [simplify]: Extracting #1: cost 8 inf + 0 296.559 * * [simplify]: Extracting #2: cost 16 inf + 0 296.559 * * [simplify]: Extracting #3: cost 49 inf + 0 296.560 * * [simplify]: Extracting #4: cost 127 inf + 2 296.561 * * [simplify]: Extracting #5: cost 169 inf + 666 296.566 * * [simplify]: Extracting #6: cost 116 inf + 12660 296.578 * * [simplify]: Extracting #7: cost 33 inf + 44484 296.599 * * [simplify]: Extracting #8: cost 0 inf + 74868 296.621 * * [simplify]: Extracting #9: cost 0 inf + 73456 296.649 * * [simplify]: Extracting #10: cost 0 inf + 73055 296.672 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 296.672 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 296.672 * * * * [progress]: [ 327 / 667 ] simplifiying candidate # 296.673 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt (sqrt 1))) 296.673 * * [simplify]: iters left: 6 (16 enodes) 296.684 * * [simplify]: iters left: 5 (65 enodes) 296.704 * * [simplify]: iters left: 4 (103 enodes) 296.734 * * [simplify]: iters left: 3 (147 enodes) 296.779 * * [simplify]: iters left: 2 (233 enodes) 296.825 * * [simplify]: iters left: 1 (408 enodes) 296.967 * * [simplify]: Extracting #0: cost 1 inf + 0 296.967 * * [simplify]: Extracting #1: cost 5 inf + 0 296.967 * * [simplify]: Extracting #2: cost 7 inf + 1 296.967 * * [simplify]: Extracting #3: cost 34 inf + 1 296.968 * * [simplify]: Extracting #4: cost 113 inf + 2 296.969 * * [simplify]: Extracting #5: cost 164 inf + 176 296.971 * * [simplify]: Extracting #6: cost 165 inf + 643 296.974 * * [simplify]: Extracting #7: cost 107 inf + 8030 296.983 * * [simplify]: Extracting #8: cost 49 inf + 29041 297.004 * * [simplify]: Extracting #9: cost 3 inf + 68826 297.016 * * [simplify]: Extracting #10: cost 0 inf + 69708 297.028 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 297.028 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 297.028 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 297.028 * * [simplify]: iters left: 6 (15 enodes) 297.032 * * [simplify]: iters left: 5 (62 enodes) 297.051 * * [simplify]: iters left: 4 (95 enodes) 297.080 * * [simplify]: iters left: 3 (138 enodes) 297.124 * * [simplify]: iters left: 2 (223 enodes) 297.207 * * [simplify]: iters left: 1 (400 enodes) 297.400 * * [simplify]: Extracting #0: cost 1 inf + 0 297.400 * * [simplify]: Extracting #1: cost 6 inf + 0 297.400 * * [simplify]: Extracting #2: cost 12 inf + 0 297.400 * * [simplify]: Extracting #3: cost 37 inf + 164 297.401 * * [simplify]: Extracting #4: cost 112 inf + 246 297.401 * * [simplify]: Extracting #5: cost 157 inf + 1005 297.405 * * [simplify]: Extracting #6: cost 93 inf + 19311 297.418 * * [simplify]: Extracting #7: cost 5 inf + 66572 297.431 * * [simplify]: Extracting #8: cost 0 inf + 68278 297.445 * * [simplify]: Extracting #9: cost 0 inf + 66875 297.458 * * [simplify]: Extracting #10: cost 0 inf + 65666 297.471 * * [simplify]: Extracting #11: cost 0 inf + 65294 297.484 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 297.484 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt (sqrt 1))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 297.484 * * * * [progress]: [ 328 / 667 ] simplifiying candidate # 297.484 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt (sqrt (sqrt k)))) 297.484 * * [simplify]: iters left: 6 (17 enodes) 297.489 * * [simplify]: iters left: 5 (68 enodes) 297.504 * * [simplify]: iters left: 4 (117 enodes) 297.533 * * [simplify]: iters left: 3 (174 enodes) 297.587 * * [simplify]: iters left: 2 (267 enodes) 297.684 * * [simplify]: iters left: 1 (442 enodes) 297.872 * * [simplify]: Extracting #0: cost 1 inf + 0 297.872 * * [simplify]: Extracting #1: cost 9 inf + 0 297.872 * * [simplify]: Extracting #2: cost 16 inf + 1 297.872 * * [simplify]: Extracting #3: cost 45 inf + 1 297.872 * * [simplify]: Extracting #4: cost 125 inf + 2 297.873 * * [simplify]: Extracting #5: cost 171 inf + 760 297.875 * * [simplify]: Extracting #6: cost 118 inf + 9526 297.880 * * [simplify]: Extracting #7: cost 49 inf + 29081 297.891 * * [simplify]: Extracting #8: cost 5 inf + 63111 297.914 * * [simplify]: Extracting #9: cost 0 inf + 67715 297.926 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 297.926 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 297.926 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 297.927 * * [simplify]: iters left: 6 (16 enodes) 297.931 * * [simplify]: iters left: 5 (65 enodes) 297.942 * * [simplify]: iters left: 4 (103 enodes) 297.976 * * [simplify]: iters left: 3 (144 enodes) 298.014 * * [simplify]: iters left: 2 (224 enodes) 298.078 * * [simplify]: iters left: 1 (403 enodes) 298.209 * * [simplify]: Extracting #0: cost 1 inf + 0 298.210 * * [simplify]: Extracting #1: cost 8 inf + 0 298.210 * * [simplify]: Extracting #2: cost 16 inf + 0 298.210 * * [simplify]: Extracting #3: cost 49 inf + 0 298.210 * * [simplify]: Extracting #4: cost 127 inf + 2 298.211 * * [simplify]: Extracting #5: cost 169 inf + 666 298.213 * * [simplify]: Extracting #6: cost 116 inf + 12660 298.219 * * [simplify]: Extracting #7: cost 33 inf + 44484 298.230 * * [simplify]: Extracting #8: cost 0 inf + 74868 298.241 * * [simplify]: Extracting #9: cost 0 inf + 73456 298.268 * * [simplify]: Extracting #10: cost 0 inf + 73055 298.287 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 298.287 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 298.287 * * * * [progress]: [ 329 / 667 ] simplifiying candidate # 298.287 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt 1)) 298.288 * * [simplify]: iters left: 6 (15 enodes) 298.293 * * [simplify]: iters left: 5 (62 enodes) 298.303 * * [simplify]: iters left: 4 (100 enodes) 298.319 * * [simplify]: iters left: 3 (141 enodes) 298.356 * * [simplify]: iters left: 2 (222 enodes) 298.418 * * [simplify]: iters left: 1 (403 enodes) 298.576 * * [simplify]: Extracting #0: cost 1 inf + 0 298.576 * * [simplify]: Extracting #1: cost 5 inf + 0 298.576 * * [simplify]: Extracting #2: cost 7 inf + 1 298.576 * * [simplify]: Extracting #3: cost 33 inf + 1 298.577 * * [simplify]: Extracting #4: cost 108 inf + 2 298.577 * * [simplify]: Extracting #5: cost 161 inf + 176 298.578 * * [simplify]: Extracting #6: cost 164 inf + 477 298.580 * * [simplify]: Extracting #7: cost 93 inf + 10106 298.585 * * [simplify]: Extracting #8: cost 42 inf + 30038 298.593 * * [simplify]: Extracting #9: cost 7 inf + 59847 298.608 * * [simplify]: Extracting #10: cost 0 inf + 64855 298.631 * * [simplify]: Extracting #11: cost 0 inf + 63790 298.654 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 298.654 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 298.655 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 298.655 * * [simplify]: iters left: 6 (15 enodes) 298.663 * * [simplify]: iters left: 5 (62 enodes) 298.687 * * [simplify]: iters left: 4 (95 enodes) 298.703 * * [simplify]: iters left: 3 (138 enodes) 298.731 * * [simplify]: iters left: 2 (223 enodes) 298.780 * * [simplify]: iters left: 1 (400 enodes) 298.940 * * [simplify]: Extracting #0: cost 1 inf + 0 298.940 * * [simplify]: Extracting #1: cost 6 inf + 0 298.940 * * [simplify]: Extracting #2: cost 12 inf + 0 298.940 * * [simplify]: Extracting #3: cost 37 inf + 164 298.941 * * [simplify]: Extracting #4: cost 112 inf + 246 298.942 * * [simplify]: Extracting #5: cost 157 inf + 1005 298.953 * * [simplify]: Extracting #6: cost 93 inf + 19311 298.972 * * [simplify]: Extracting #7: cost 5 inf + 66572 298.996 * * [simplify]: Extracting #8: cost 0 inf + 68278 299.021 * * [simplify]: Extracting #9: cost 0 inf + 66875 299.047 * * [simplify]: Extracting #10: cost 0 inf + 65666 299.072 * * [simplify]: Extracting #11: cost 0 inf + 65294 299.097 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 299.097 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 299.098 * * * * [progress]: [ 330 / 667 ] simplifiying candidate # 299.098 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt (sqrt (sqrt k)))) 299.098 * * [simplify]: iters left: 6 (17 enodes) 299.105 * * [simplify]: iters left: 5 (68 enodes) 299.120 * * [simplify]: iters left: 4 (117 enodes) 299.139 * * [simplify]: iters left: 3 (174 enodes) 299.181 * * [simplify]: iters left: 2 (267 enodes) 299.239 * * [simplify]: iters left: 1 (442 enodes) 299.452 * * [simplify]: Extracting #0: cost 1 inf + 0 299.452 * * [simplify]: Extracting #1: cost 9 inf + 0 299.452 * * [simplify]: Extracting #2: cost 16 inf + 1 299.452 * * [simplify]: Extracting #3: cost 45 inf + 1 299.453 * * [simplify]: Extracting #4: cost 125 inf + 2 299.454 * * [simplify]: Extracting #5: cost 171 inf + 760 299.458 * * [simplify]: Extracting #6: cost 118 inf + 9526 299.469 * * [simplify]: Extracting #7: cost 49 inf + 29081 299.488 * * [simplify]: Extracting #8: cost 5 inf + 63111 299.513 * * [simplify]: Extracting #9: cost 0 inf + 67715 299.533 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 299.534 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 299.534 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 299.534 * * [simplify]: iters left: 6 (16 enodes) 299.539 * * [simplify]: iters left: 5 (65 enodes) 299.550 * * [simplify]: iters left: 4 (103 enodes) 299.577 * * [simplify]: iters left: 3 (144 enodes) 299.610 * * [simplify]: iters left: 2 (224 enodes) 299.671 * * [simplify]: iters left: 1 (403 enodes) 299.792 * * [simplify]: Extracting #0: cost 1 inf + 0 299.792 * * [simplify]: Extracting #1: cost 8 inf + 0 299.792 * * [simplify]: Extracting #2: cost 16 inf + 0 299.792 * * [simplify]: Extracting #3: cost 49 inf + 0 299.793 * * [simplify]: Extracting #4: cost 127 inf + 2 299.794 * * [simplify]: Extracting #5: cost 169 inf + 666 299.796 * * [simplify]: Extracting #6: cost 116 inf + 12660 299.802 * * [simplify]: Extracting #7: cost 33 inf + 44484 299.812 * * [simplify]: Extracting #8: cost 0 inf + 74868 299.827 * * [simplify]: Extracting #9: cost 0 inf + 73456 299.839 * * [simplify]: Extracting #10: cost 0 inf + 73055 299.851 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 299.851 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 299.851 * * * * [progress]: [ 331 / 667 ] simplifiying candidate # 299.851 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 1) 299.852 * * [simplify]: iters left: 6 (14 enodes) 299.856 * * [simplify]: iters left: 5 (55 enodes) 299.866 * * [simplify]: iters left: 4 (96 enodes) 299.887 * * [simplify]: iters left: 3 (136 enodes) 299.930 * * [simplify]: iters left: 2 (216 enodes) 300.014 * * [simplify]: iters left: 1 (404 enodes) 300.157 * * [simplify]: Extracting #0: cost 1 inf + 0 300.157 * * [simplify]: Extracting #1: cost 5 inf + 0 300.157 * * [simplify]: Extracting #2: cost 7 inf + 1 300.158 * * [simplify]: Extracting #3: cost 35 inf + 1 300.158 * * [simplify]: Extracting #4: cost 112 inf + 2 300.159 * * [simplify]: Extracting #5: cost 170 inf + 176 300.159 * * [simplify]: Extracting #6: cost 172 inf + 436 300.161 * * [simplify]: Extracting #7: cost 117 inf + 6030 300.165 * * [simplify]: Extracting #8: cost 61 inf + 17845 300.173 * * [simplify]: Extracting #9: cost 7 inf + 63088 300.186 * * [simplify]: Extracting #10: cost 0 inf + 68819 300.209 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 300.209 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 300.209 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 300.209 * * [simplify]: iters left: 6 (15 enodes) 300.218 * * [simplify]: iters left: 5 (62 enodes) 300.243 * * [simplify]: iters left: 4 (95 enodes) 300.272 * * [simplify]: iters left: 3 (138 enodes) 300.309 * * [simplify]: iters left: 2 (223 enodes) 300.374 * * [simplify]: iters left: 1 (400 enodes) 300.554 * * [simplify]: Extracting #0: cost 1 inf + 0 300.554 * * [simplify]: Extracting #1: cost 6 inf + 0 300.554 * * [simplify]: Extracting #2: cost 12 inf + 0 300.554 * * [simplify]: Extracting #3: cost 37 inf + 164 300.555 * * [simplify]: Extracting #4: cost 112 inf + 246 300.555 * * [simplify]: Extracting #5: cost 157 inf + 1005 300.559 * * [simplify]: Extracting #6: cost 93 inf + 19311 300.578 * * [simplify]: Extracting #7: cost 5 inf + 66572 300.603 * * [simplify]: Extracting #8: cost 0 inf + 68278 300.623 * * [simplify]: Extracting #9: cost 0 inf + 66875 300.636 * * [simplify]: Extracting #10: cost 0 inf + 65666 300.652 * * [simplify]: Extracting #11: cost 0 inf + 65294 300.670 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 300.670 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 1) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 300.670 * * * * [progress]: [ 332 / 667 ] simplifiying candidate # 300.670 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 300.670 * * [simplify]: iters left: 6 (17 enodes) 300.675 * * [simplify]: iters left: 5 (72 enodes) 300.690 * * [simplify]: iters left: 4 (119 enodes) 300.721 * * [simplify]: iters left: 3 (161 enodes) 300.750 * * [simplify]: iters left: 2 (248 enodes) 300.822 * * [simplify]: iters left: 1 (437 enodes) 300.986 * * [simplify]: Extracting #0: cost 1 inf + 0 300.986 * * [simplify]: Extracting #1: cost 10 inf + 0 300.986 * * [simplify]: Extracting #2: cost 31 inf + 0 300.986 * * [simplify]: Extracting #3: cost 72 inf + 2 300.987 * * [simplify]: Extracting #4: cost 154 inf + 7 300.989 * * [simplify]: Extracting #5: cost 178 inf + 4384 300.996 * * [simplify]: Extracting #6: cost 106 inf + 19175 301.009 * * [simplify]: Extracting #7: cost 19 inf + 59958 301.021 * * [simplify]: Extracting #8: cost 0 inf + 74726 301.033 * * [simplify]: Extracting #9: cost 0 inf + 74264 301.054 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 301.054 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 301.055 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 301.055 * * [simplify]: iters left: 6 (16 enodes) 301.063 * * [simplify]: iters left: 5 (65 enodes) 301.084 * * [simplify]: iters left: 4 (101 enodes) 301.104 * * [simplify]: iters left: 3 (139 enodes) 301.138 * * [simplify]: iters left: 2 (219 enodes) 301.195 * * [simplify]: iters left: 1 (400 enodes) 301.351 * * [simplify]: Extracting #0: cost 1 inf + 0 301.351 * * [simplify]: Extracting #1: cost 6 inf + 0 301.351 * * [simplify]: Extracting #2: cost 13 inf + 0 301.351 * * [simplify]: Extracting #3: cost 42 inf + 0 301.351 * * [simplify]: Extracting #4: cost 130 inf + 1 301.352 * * [simplify]: Extracting #5: cost 166 inf + 345 301.354 * * [simplify]: Extracting #6: cost 114 inf + 9464 301.362 * * [simplify]: Extracting #7: cost 18 inf + 55539 301.376 * * [simplify]: Extracting #8: cost 0 inf + 65631 301.396 * * [simplify]: Extracting #9: cost 0 inf + 63824 301.407 * * [simplify]: Extracting #10: cost 0 inf + 63624 301.422 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 301.422 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 301.423 * * * * [progress]: [ 333 / 667 ] simplifiying candidate # 301.423 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 301.423 * * [simplify]: iters left: 6 (20 enodes) 301.432 * * [simplify]: iters left: 5 (80 enodes) 301.446 * * [simplify]: iters left: 4 (124 enodes) 301.470 * * [simplify]: iters left: 3 (174 enodes) 301.505 * * [simplify]: iters left: 2 (256 enodes) 301.571 * * [simplify]: iters left: 1 (440 enodes) 301.742 * * [simplify]: Extracting #0: cost 1 inf + 0 301.742 * * [simplify]: Extracting #1: cost 12 inf + 0 301.742 * * [simplify]: Extracting #2: cost 27 inf + 0 301.742 * * [simplify]: Extracting #3: cost 63 inf + 0 301.743 * * [simplify]: Extracting #4: cost 157 inf + 1 301.744 * * [simplify]: Extracting #5: cost 198 inf + 802 301.746 * * [simplify]: Extracting #6: cost 135 inf + 12477 301.754 * * [simplify]: Extracting #7: cost 33 inf + 52017 301.780 * * [simplify]: Extracting #8: cost 1 inf + 77949 301.805 * * [simplify]: Extracting #9: cost 0 inf + 76965 301.829 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) 301.829 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 301.829 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 301.829 * * [simplify]: iters left: 6 (18 enodes) 301.838 * * [simplify]: iters left: 5 (71 enodes) 301.861 * * [simplify]: iters left: 4 (110 enodes) 301.885 * * [simplify]: iters left: 3 (154 enodes) 301.925 * * [simplify]: iters left: 2 (235 enodes) 301.976 * * [simplify]: iters left: 1 (415 enodes) 302.159 * * [simplify]: Extracting #0: cost 1 inf + 0 302.159 * * [simplify]: Extracting #1: cost 8 inf + 0 302.159 * * [simplify]: Extracting #2: cost 18 inf + 0 302.159 * * [simplify]: Extracting #3: cost 48 inf + 0 302.159 * * [simplify]: Extracting #4: cost 134 inf + 1 302.160 * * [simplify]: Extracting #5: cost 175 inf + 427 302.162 * * [simplify]: Extracting #6: cost 116 inf + 9544 302.167 * * [simplify]: Extracting #7: cost 41 inf + 31499 302.177 * * [simplify]: Extracting #8: cost 5 inf + 61313 302.194 * * [simplify]: Extracting #9: cost 0 inf + 66866 302.217 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 302.217 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 302.217 * * * * [progress]: [ 334 / 667 ] simplifiying candidate # 302.218 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 302.218 * * [simplify]: iters left: 6 (21 enodes) 302.229 * * [simplify]: iters left: 5 (83 enodes) 302.246 * * [simplify]: iters left: 4 (127 enodes) 302.265 * * [simplify]: iters left: 3 (177 enodes) 302.313 * * [simplify]: iters left: 2 (259 enodes) 302.371 * * [simplify]: iters left: 1 (442 enodes) 302.576 * * [simplify]: Extracting #0: cost 1 inf + 0 302.576 * * [simplify]: Extracting #1: cost 12 inf + 0 302.576 * * [simplify]: Extracting #2: cost 26 inf + 0 302.577 * * [simplify]: Extracting #3: cost 64 inf + 0 302.577 * * [simplify]: Extracting #4: cost 163 inf + 1 302.579 * * [simplify]: Extracting #5: cost 192 inf + 508 302.583 * * [simplify]: Extracting #6: cost 137 inf + 8021 302.594 * * [simplify]: Extracting #7: cost 56 inf + 36365 302.615 * * [simplify]: Extracting #8: cost 2 inf + 77326 302.630 * * [simplify]: Extracting #9: cost 0 inf + 78383 302.645 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) 302.645 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 302.646 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 302.646 * * [simplify]: iters left: 6 (19 enodes) 302.655 * * [simplify]: iters left: 5 (74 enodes) 302.667 * * [simplify]: iters left: 4 (109 enodes) 302.686 * * [simplify]: iters left: 3 (154 enodes) 302.739 * * [simplify]: iters left: 2 (252 enodes) 302.808 * * [simplify]: iters left: 1 (418 enodes) 302.958 * * [simplify]: Extracting #0: cost 1 inf + 0 302.959 * * [simplify]: Extracting #1: cost 8 inf + 0 302.959 * * [simplify]: Extracting #2: cost 18 inf + 0 302.959 * * [simplify]: Extracting #3: cost 51 inf + 0 302.960 * * [simplify]: Extracting #4: cost 143 inf + 1 302.961 * * [simplify]: Extracting #5: cost 191 inf + 970 302.966 * * [simplify]: Extracting #6: cost 120 inf + 10342 302.976 * * [simplify]: Extracting #7: cost 48 inf + 31694 302.996 * * [simplify]: Extracting #8: cost 9 inf + 63154 303.019 * * [simplify]: Extracting #9: cost 0 inf + 68679 303.041 * * [simplify]: Extracting #10: cost 0 inf + 68521 303.062 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 303.063 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 303.063 * * * * [progress]: [ 335 / 667 ] simplifiying candidate # 303.063 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 303.063 * * [simplify]: iters left: 6 (18 enodes) 303.073 * * [simplify]: iters left: 5 (73 enodes) 303.085 * * [simplify]: iters left: 4 (117 enodes) 303.109 * * [simplify]: iters left: 3 (167 enodes) 303.137 * * [simplify]: iters left: 2 (249 enodes) 303.207 * * [simplify]: iters left: 1 (428 enodes) 303.396 * * [simplify]: Extracting #0: cost 1 inf + 0 303.396 * * [simplify]: Extracting #1: cost 12 inf + 0 303.396 * * [simplify]: Extracting #2: cost 25 inf + 0 303.396 * * [simplify]: Extracting #3: cost 54 inf + 0 303.397 * * [simplify]: Extracting #4: cost 142 inf + 1 303.398 * * [simplify]: Extracting #5: cost 184 inf + 427 303.402 * * [simplify]: Extracting #6: cost 128 inf + 7823 303.415 * * [simplify]: Extracting #7: cost 32 inf + 49341 303.438 * * [simplify]: Extracting #8: cost 2 inf + 71538 303.450 * * [simplify]: Extracting #9: cost 0 inf + 71907 303.461 * * [simplify]: Extracting #10: cost 0 inf + 71009 303.484 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 303.484 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 303.485 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 303.485 * * [simplify]: iters left: 6 (17 enodes) 303.490 * * [simplify]: iters left: 5 (68 enodes) 303.505 * * [simplify]: iters left: 4 (107 enodes) 303.527 * * [simplify]: iters left: 3 (151 enodes) 303.558 * * [simplify]: iters left: 2 (232 enodes) 303.610 * * [simplify]: iters left: 1 (413 enodes) 303.747 * * [simplify]: Extracting #0: cost 1 inf + 0 303.747 * * [simplify]: Extracting #1: cost 8 inf + 0 303.747 * * [simplify]: Extracting #2: cost 17 inf + 0 303.747 * * [simplify]: Extracting #3: cost 46 inf + 0 303.748 * * [simplify]: Extracting #4: cost 136 inf + 1 303.748 * * [simplify]: Extracting #5: cost 176 inf + 385 303.754 * * [simplify]: Extracting #6: cost 122 inf + 8092 303.762 * * [simplify]: Extracting #7: cost 58 inf + 21732 303.778 * * [simplify]: Extracting #8: cost 15 inf + 55794 303.799 * * [simplify]: Extracting #9: cost 0 inf + 68246 303.820 * * [simplify]: Extracting #10: cost 0 inf + 67651 303.842 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 303.842 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 303.842 * * * * [progress]: [ 336 / 667 ] simplifiying candidate # 303.843 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) 303.843 * * [simplify]: iters left: 6 (19 enodes) 303.853 * * [simplify]: iters left: 5 (76 enodes) 303.866 * * [simplify]: iters left: 4 (112 enodes) 304.304 * * [simplify]: iters left: 3 (154 enodes) 304.356 * * [simplify]: iters left: 2 (258 enodes) 304.439 * * [simplify]: iters left: 1 (428 enodes) 304.648 * * [simplify]: Extracting #0: cost 1 inf + 0 304.648 * * [simplify]: Extracting #1: cost 7 inf + 0 304.648 * * [simplify]: Extracting #2: cost 13 inf + 1 304.649 * * [simplify]: Extracting #3: cost 43 inf + 1 304.649 * * [simplify]: Extracting #4: cost 129 inf + 2 304.651 * * [simplify]: Extracting #5: cost 180 inf + 261 304.654 * * [simplify]: Extracting #6: cost 140 inf + 5659 304.667 * * [simplify]: Extracting #7: cost 30 inf + 43663 304.681 * * [simplify]: Extracting #8: cost 0 inf + 61294 304.702 * * [simplify]: Extracting #9: cost 0 inf + 57873 304.737 * * [simplify]: Extracting #10: cost 0 inf + 57773 304.772 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 304.772 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 304.772 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 304.773 * * [simplify]: iters left: 6 (16 enodes) 304.777 * * [simplify]: iters left: 5 (65 enodes) 304.788 * * [simplify]: iters left: 4 (104 enodes) 304.809 * * [simplify]: iters left: 3 (144 enodes) 304.841 * * [simplify]: iters left: 2 (224 enodes) 304.886 * * [simplify]: iters left: 1 (402 enodes) 305.017 * * [simplify]: Extracting #0: cost 1 inf + 0 305.017 * * [simplify]: Extracting #1: cost 8 inf + 0 305.017 * * [simplify]: Extracting #2: cost 17 inf + 0 305.017 * * [simplify]: Extracting #3: cost 51 inf + 0 305.017 * * [simplify]: Extracting #4: cost 140 inf + 2 305.018 * * [simplify]: Extracting #5: cost 168 inf + 628 305.021 * * [simplify]: Extracting #6: cost 127 inf + 5490 305.027 * * [simplify]: Extracting #7: cost 78 inf + 15002 305.035 * * [simplify]: Extracting #8: cost 14 inf + 61096 305.046 * * [simplify]: Extracting #9: cost 0 inf + 74540 305.061 * * [simplify]: Extracting #10: cost 0 inf + 73856 305.083 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 305.083 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 305.083 * * * * [progress]: [ 337 / 667 ] simplifiying candidate # 305.083 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 305.084 * * [simplify]: iters left: 6 (18 enodes) 305.089 * * [simplify]: iters left: 5 (73 enodes) 305.102 * * [simplify]: iters left: 4 (117 enodes) 305.120 * * [simplify]: iters left: 3 (167 enodes) 305.157 * * [simplify]: iters left: 2 (249 enodes) 305.247 * * [simplify]: iters left: 1 (428 enodes) 305.461 * * [simplify]: Extracting #0: cost 1 inf + 0 305.461 * * [simplify]: Extracting #1: cost 12 inf + 0 305.461 * * [simplify]: Extracting #2: cost 25 inf + 0 305.462 * * [simplify]: Extracting #3: cost 54 inf + 0 305.462 * * [simplify]: Extracting #4: cost 142 inf + 1 305.463 * * [simplify]: Extracting #5: cost 184 inf + 427 305.465 * * [simplify]: Extracting #6: cost 128 inf + 7823 305.471 * * [simplify]: Extracting #7: cost 32 inf + 49341 305.486 * * [simplify]: Extracting #8: cost 2 inf + 71538 305.502 * * [simplify]: Extracting #9: cost 0 inf + 71907 305.514 * * [simplify]: Extracting #10: cost 0 inf + 71009 305.529 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 305.529 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 305.530 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 305.530 * * [simplify]: iters left: 6 (17 enodes) 305.539 * * [simplify]: iters left: 5 (68 enodes) 305.552 * * [simplify]: iters left: 4 (107 enodes) 305.569 * * [simplify]: iters left: 3 (151 enodes) 305.604 * * [simplify]: iters left: 2 (232 enodes) 305.656 * * [simplify]: iters left: 1 (413 enodes) 305.809 * * [simplify]: Extracting #0: cost 1 inf + 0 305.809 * * [simplify]: Extracting #1: cost 8 inf + 0 305.810 * * [simplify]: Extracting #2: cost 17 inf + 0 305.810 * * [simplify]: Extracting #3: cost 46 inf + 0 305.810 * * [simplify]: Extracting #4: cost 136 inf + 1 305.811 * * [simplify]: Extracting #5: cost 176 inf + 385 305.813 * * [simplify]: Extracting #6: cost 122 inf + 8092 305.818 * * [simplify]: Extracting #7: cost 58 inf + 21732 305.834 * * [simplify]: Extracting #8: cost 15 inf + 55794 305.847 * * [simplify]: Extracting #9: cost 0 inf + 68246 305.858 * * [simplify]: Extracting #10: cost 0 inf + 67651 305.871 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 305.871 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 305.871 * * * * [progress]: [ 338 / 667 ] simplifiying candidate # 305.872 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 305.872 * * [simplify]: iters left: 6 (18 enodes) 305.883 * * [simplify]: iters left: 5 (73 enodes) 305.905 * * [simplify]: iters left: 4 (113 enodes) 305.924 * * [simplify]: iters left: 3 (153 enodes) 305.958 * * [simplify]: iters left: 2 (241 enodes) 306.014 * * [simplify]: iters left: 1 (415 enodes) 306.146 * * [simplify]: Extracting #0: cost 1 inf + 0 306.146 * * [simplify]: Extracting #1: cost 7 inf + 0 306.146 * * [simplify]: Extracting #2: cost 13 inf + 1 306.146 * * [simplify]: Extracting #3: cost 45 inf + 1 306.146 * * [simplify]: Extracting #4: cost 134 inf + 2 306.147 * * [simplify]: Extracting #5: cost 177 inf + 385 306.149 * * [simplify]: Extracting #6: cost 108 inf + 10332 306.162 * * [simplify]: Extracting #7: cost 28 inf + 47049 306.187 * * [simplify]: Extracting #8: cost 0 inf + 71300 306.209 * * [simplify]: Extracting #9: cost 0 inf + 70848 306.231 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 306.232 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 306.232 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 306.232 * * [simplify]: iters left: 6 (16 enodes) 306.241 * * [simplify]: iters left: 5 (65 enodes) 306.262 * * [simplify]: iters left: 4 (104 enodes) 306.294 * * [simplify]: iters left: 3 (144 enodes) 306.327 * * [simplify]: iters left: 2 (224 enodes) 306.377 * * [simplify]: iters left: 1 (402 enodes) 306.544 * * [simplify]: Extracting #0: cost 1 inf + 0 306.545 * * [simplify]: Extracting #1: cost 8 inf + 0 306.545 * * [simplify]: Extracting #2: cost 17 inf + 0 306.545 * * [simplify]: Extracting #3: cost 51 inf + 0 306.545 * * [simplify]: Extracting #4: cost 140 inf + 2 306.546 * * [simplify]: Extracting #5: cost 168 inf + 628 306.547 * * [simplify]: Extracting #6: cost 127 inf + 5490 306.550 * * [simplify]: Extracting #7: cost 78 inf + 15002 306.558 * * [simplify]: Extracting #8: cost 14 inf + 61096 306.574 * * [simplify]: Extracting #9: cost 0 inf + 74540 306.595 * * [simplify]: Extracting #10: cost 0 inf + 73856 306.618 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 306.618 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 306.618 * * * * [progress]: [ 339 / 667 ] simplifiying candidate # 306.618 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 306.618 * * [simplify]: iters left: 6 (18 enodes) 306.626 * * [simplify]: iters left: 5 (73 enodes) 306.640 * * [simplify]: iters left: 4 (117 enodes) 306.659 * * [simplify]: iters left: 3 (167 enodes) 306.710 * * [simplify]: iters left: 2 (249 enodes) 306.777 * * [simplify]: iters left: 1 (428 enodes) 306.933 * * [simplify]: Extracting #0: cost 1 inf + 0 306.933 * * [simplify]: Extracting #1: cost 12 inf + 0 306.933 * * [simplify]: Extracting #2: cost 25 inf + 0 306.933 * * [simplify]: Extracting #3: cost 54 inf + 0 306.934 * * [simplify]: Extracting #4: cost 142 inf + 1 306.934 * * [simplify]: Extracting #5: cost 184 inf + 427 306.936 * * [simplify]: Extracting #6: cost 128 inf + 7823 306.947 * * [simplify]: Extracting #7: cost 32 inf + 49341 306.969 * * [simplify]: Extracting #8: cost 2 inf + 71538 306.987 * * [simplify]: Extracting #9: cost 0 inf + 71907 306.999 * * [simplify]: Extracting #10: cost 0 inf + 71009 307.011 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 307.011 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 307.011 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 307.011 * * [simplify]: iters left: 6 (17 enodes) 307.016 * * [simplify]: iters left: 5 (68 enodes) 307.031 * * [simplify]: iters left: 4 (107 enodes) 307.050 * * [simplify]: iters left: 3 (151 enodes) 307.098 * * [simplify]: iters left: 2 (232 enodes) 307.175 * * [simplify]: iters left: 1 (413 enodes) 307.326 * * [simplify]: Extracting #0: cost 1 inf + 0 307.326 * * [simplify]: Extracting #1: cost 8 inf + 0 307.326 * * [simplify]: Extracting #2: cost 17 inf + 0 307.326 * * [simplify]: Extracting #3: cost 46 inf + 0 307.330 * * [simplify]: Extracting #4: cost 136 inf + 1 307.331 * * [simplify]: Extracting #5: cost 176 inf + 385 307.333 * * [simplify]: Extracting #6: cost 122 inf + 8092 307.339 * * [simplify]: Extracting #7: cost 58 inf + 21732 307.355 * * [simplify]: Extracting #8: cost 15 inf + 55794 307.376 * * [simplify]: Extracting #9: cost 0 inf + 68246 307.398 * * [simplify]: Extracting #10: cost 0 inf + 67651 307.419 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 307.419 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 307.420 * * * * [progress]: [ 340 / 667 ] simplifiying candidate # 307.420 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 307.420 * * [simplify]: iters left: 6 (17 enodes) 307.430 * * [simplify]: iters left: 5 (68 enodes) 307.452 * * [simplify]: iters left: 4 (110 enodes) 307.489 * * [simplify]: iters left: 3 (161 enodes) 307.521 * * [simplify]: iters left: 2 (243 enodes) 307.601 * * [simplify]: iters left: 1 (418 enodes) 307.801 * * [simplify]: Extracting #0: cost 1 inf + 0 307.801 * * [simplify]: Extracting #1: cost 7 inf + 0 307.801 * * [simplify]: Extracting #2: cost 13 inf + 1 307.801 * * [simplify]: Extracting #3: cost 45 inf + 1 307.801 * * [simplify]: Extracting #4: cost 140 inf + 2 307.802 * * [simplify]: Extracting #5: cost 183 inf + 304 307.804 * * [simplify]: Extracting #6: cost 119 inf + 10005 307.810 * * [simplify]: Extracting #7: cost 49 inf + 32330 307.824 * * [simplify]: Extracting #8: cost 11 inf + 63973 307.839 * * [simplify]: Extracting #9: cost 0 inf + 72967 307.850 * * [simplify]: Extracting #10: cost 0 inf + 71935 307.873 * * [simplify]: Extracting #11: cost 0 inf + 71433 307.896 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 307.897 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 307.897 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 307.897 * * [simplify]: iters left: 6 (16 enodes) 307.906 * * [simplify]: iters left: 5 (65 enodes) 307.919 * * [simplify]: iters left: 4 (104 enodes) 307.935 * * [simplify]: iters left: 3 (144 enodes) 307.968 * * [simplify]: iters left: 2 (224 enodes) 308.019 * * [simplify]: iters left: 1 (402 enodes) 308.178 * * [simplify]: Extracting #0: cost 1 inf + 0 308.178 * * [simplify]: Extracting #1: cost 8 inf + 0 308.178 * * [simplify]: Extracting #2: cost 17 inf + 0 308.178 * * [simplify]: Extracting #3: cost 51 inf + 0 308.179 * * [simplify]: Extracting #4: cost 140 inf + 2 308.180 * * [simplify]: Extracting #5: cost 168 inf + 628 308.184 * * [simplify]: Extracting #6: cost 127 inf + 5490 308.190 * * [simplify]: Extracting #7: cost 78 inf + 15002 308.206 * * [simplify]: Extracting #8: cost 14 inf + 61096 308.230 * * [simplify]: Extracting #9: cost 0 inf + 74540 308.257 * * [simplify]: Extracting #10: cost 0 inf + 73856 308.275 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 308.275 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 308.275 * * * * [progress]: [ 341 / 667 ] simplifiying candidate # 308.275 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 308.276 * * [simplify]: iters left: 6 (20 enodes) 308.281 * * [simplify]: iters left: 5 (80 enodes) 308.295 * * [simplify]: iters left: 4 (124 enodes) 308.328 * * [simplify]: iters left: 3 (171 enodes) 308.377 * * [simplify]: iters left: 2 (254 enodes) 308.439 * * [simplify]: iters left: 1 (434 enodes) 308.623 * * [simplify]: Extracting #0: cost 1 inf + 0 308.623 * * [simplify]: Extracting #1: cost 10 inf + 0 308.624 * * [simplify]: Extracting #2: cost 25 inf + 0 308.624 * * [simplify]: Extracting #3: cost 64 inf + 0 308.625 * * [simplify]: Extracting #4: cost 163 inf + 1 308.626 * * [simplify]: Extracting #5: cost 191 inf + 633 308.631 * * [simplify]: Extracting #6: cost 116 inf + 10435 308.643 * * [simplify]: Extracting #7: cost 43 inf + 44314 308.665 * * [simplify]: Extracting #8: cost 3 inf + 78946 308.692 * * [simplify]: Extracting #9: cost 0 inf + 80834 308.716 * * [simplify]: Extracting #10: cost 0 inf + 80794 308.739 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 308.739 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 308.740 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 308.740 * * [simplify]: iters left: 6 (18 enodes) 308.750 * * [simplify]: iters left: 5 (71 enodes) 308.764 * * [simplify]: iters left: 4 (110 enodes) 308.782 * * [simplify]: iters left: 3 (154 enodes) 308.820 * * [simplify]: iters left: 2 (235 enodes) 308.874 * * [simplify]: iters left: 1 (415 enodes) 309.029 * * [simplify]: Extracting #0: cost 1 inf + 0 309.029 * * [simplify]: Extracting #1: cost 8 inf + 0 309.029 * * [simplify]: Extracting #2: cost 18 inf + 0 309.029 * * [simplify]: Extracting #3: cost 48 inf + 0 309.030 * * [simplify]: Extracting #4: cost 134 inf + 1 309.030 * * [simplify]: Extracting #5: cost 175 inf + 427 309.032 * * [simplify]: Extracting #6: cost 116 inf + 9584 309.037 * * [simplify]: Extracting #7: cost 41 inf + 31499 309.046 * * [simplify]: Extracting #8: cost 5 inf + 61313 309.062 * * [simplify]: Extracting #9: cost 0 inf + 66866 309.075 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 309.075 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 309.075 * * * * [progress]: [ 342 / 667 ] simplifiying candidate # 309.075 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 309.075 * * [simplify]: iters left: 6 (17 enodes) 309.080 * * [simplify]: iters left: 5 (69 enodes) 309.092 * * [simplify]: iters left: 4 (103 enodes) 309.120 * * [simplify]: iters left: 3 (145 enodes) 309.145 * * [simplify]: iters left: 2 (230 enodes) 309.203 * * [simplify]: iters left: 1 (414 enodes) 309.377 * * [simplify]: Extracting #0: cost 1 inf + 0 309.377 * * [simplify]: Extracting #1: cost 6 inf + 0 309.377 * * [simplify]: Extracting #2: cost 13 inf + 0 309.377 * * [simplify]: Extracting #3: cost 46 inf + 0 309.378 * * [simplify]: Extracting #4: cost 142 inf + 1 309.379 * * [simplify]: Extracting #5: cost 183 inf + 261 309.383 * * [simplify]: Extracting #6: cost 130 inf + 9118 309.397 * * [simplify]: Extracting #7: cost 29 inf + 52406 309.421 * * [simplify]: Extracting #8: cost 0 inf + 77195 309.444 * * [simplify]: Extracting #9: cost 0 inf + 75192 309.471 * * [simplify]: Extracting #10: cost 0 inf + 74384 309.492 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 309.492 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 309.492 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 309.493 * * [simplify]: iters left: 6 (16 enodes) 309.497 * * [simplify]: iters left: 5 (65 enodes) 309.508 * * [simplify]: iters left: 4 (99 enodes) 309.535 * * [simplify]: iters left: 3 (138 enodes) 309.578 * * [simplify]: iters left: 2 (218 enodes) 309.645 * * [simplify]: iters left: 1 (399 enodes) 309.824 * * [simplify]: Extracting #0: cost 1 inf + 0 309.824 * * [simplify]: Extracting #1: cost 6 inf + 0 309.824 * * [simplify]: Extracting #2: cost 13 inf + 0 309.824 * * [simplify]: Extracting #3: cost 46 inf + 0 309.825 * * [simplify]: Extracting #4: cost 131 inf + 84 309.826 * * [simplify]: Extracting #5: cost 172 inf + 751 309.827 * * [simplify]: Extracting #6: cost 126 inf + 5747 309.831 * * [simplify]: Extracting #7: cost 63 inf + 19014 309.839 * * [simplify]: Extracting #8: cost 12 inf + 57146 309.851 * * [simplify]: Extracting #9: cost 0 inf + 67544 309.872 * * [simplify]: Extracting #10: cost 0 inf + 67373 309.893 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 309.893 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 309.894 * * * * [progress]: [ 343 / 667 ] simplifiying candidate # 309.894 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 309.894 * * [simplify]: iters left: 6 (21 enodes) 309.905 * * [simplify]: iters left: 5 (82 enodes) 309.926 * * [simplify]: iters left: 4 (121 enodes) 309.946 * * [simplify]: iters left: 3 (161 enodes) 309.973 * * [simplify]: iters left: 2 (241 enodes) 310.029 * * [simplify]: iters left: 1 (426 enodes) 310.212 * * [simplify]: Extracting #0: cost 1 inf + 0 310.213 * * [simplify]: Extracting #1: cost 8 inf + 0 310.213 * * [simplify]: Extracting #2: cost 19 inf + 0 310.213 * * [simplify]: Extracting #3: cost 57 inf + 0 310.214 * * [simplify]: Extracting #4: cost 155 inf + 1 310.215 * * [simplify]: Extracting #5: cost 188 inf + 344 310.219 * * [simplify]: Extracting #6: cost 117 inf + 10278 310.233 * * [simplify]: Extracting #7: cost 31 inf + 50880 310.256 * * [simplify]: Extracting #8: cost 0 inf + 74571 310.279 * * [simplify]: Extracting #9: cost 0 inf + 73256 310.301 * * [simplify]: Extracting #10: cost 0 inf + 72837 310.325 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (sqrt (fabs (cbrt k)))) 310.325 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 310.325 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 310.326 * * [simplify]: iters left: 6 (19 enodes) 310.335 * * [simplify]: iters left: 5 (74 enodes) 310.360 * * [simplify]: iters left: 4 (109 enodes) 310.377 * * [simplify]: iters left: 3 (154 enodes) 310.417 * * [simplify]: iters left: 2 (252 enodes) 310.473 * * [simplify]: iters left: 1 (418 enodes) 310.684 * * [simplify]: Extracting #0: cost 1 inf + 0 310.684 * * [simplify]: Extracting #1: cost 8 inf + 0 310.685 * * [simplify]: Extracting #2: cost 18 inf + 0 310.685 * * [simplify]: Extracting #3: cost 51 inf + 0 310.685 * * [simplify]: Extracting #4: cost 143 inf + 1 310.687 * * [simplify]: Extracting #5: cost 191 inf + 970 310.691 * * [simplify]: Extracting #6: cost 120 inf + 10422 310.706 * * [simplify]: Extracting #7: cost 48 inf + 31774 310.727 * * [simplify]: Extracting #8: cost 9 inf + 63234 310.749 * * [simplify]: Extracting #9: cost 0 inf + 68759 310.770 * * [simplify]: Extracting #10: cost 0 inf + 68601 310.793 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 310.793 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 310.793 * * * * [progress]: [ 344 / 667 ] simplifiying candidate # 310.794 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 310.794 * * [simplify]: iters left: 6 (19 enodes) 310.805 * * [simplify]: iters left: 5 (75 enodes) 310.825 * * [simplify]: iters left: 4 (110 enodes) 310.844 * * [simplify]: iters left: 3 (152 enodes) 310.872 * * [simplify]: iters left: 2 (248 enodes) 310.929 * * [simplify]: iters left: 1 (420 enodes) 311.050 * * [simplify]: Extracting #0: cost 1 inf + 0 311.050 * * [simplify]: Extracting #1: cost 8 inf + 0 311.050 * * [simplify]: Extracting #2: cost 19 inf + 0 311.050 * * [simplify]: Extracting #3: cost 55 inf + 0 311.050 * * [simplify]: Extracting #4: cost 147 inf + 1 311.051 * * [simplify]: Extracting #5: cost 193 inf + 303 311.053 * * [simplify]: Extracting #6: cost 126 inf + 9210 311.059 * * [simplify]: Extracting #7: cost 45 inf + 34024 311.075 * * [simplify]: Extracting #8: cost 1 inf + 65012 311.102 * * [simplify]: Extracting #9: cost 0 inf + 61059 311.130 * * [simplify]: Extracting #10: cost 0 inf + 60142 311.158 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 311.158 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 311.159 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 311.159 * * [simplify]: iters left: 6 (18 enodes) 311.168 * * [simplify]: iters left: 5 (71 enodes) 311.181 * * [simplify]: iters left: 4 (110 enodes) 311.199 * * [simplify]: iters left: 3 (154 enodes) 311.246 * * [simplify]: iters left: 2 (235 enodes) 311.316 * * [simplify]: iters left: 1 (415 enodes) 311.506 * * [simplify]: Extracting #0: cost 1 inf + 0 311.506 * * [simplify]: Extracting #1: cost 8 inf + 0 311.506 * * [simplify]: Extracting #2: cost 18 inf + 0 311.506 * * [simplify]: Extracting #3: cost 48 inf + 0 311.507 * * [simplify]: Extracting #4: cost 134 inf + 1 311.508 * * [simplify]: Extracting #5: cost 175 inf + 427 311.511 * * [simplify]: Extracting #6: cost 116 inf + 9464 311.516 * * [simplify]: Extracting #7: cost 41 inf + 31219 311.526 * * [simplify]: Extracting #8: cost 5 inf + 60993 311.539 * * [simplify]: Extracting #9: cost 0 inf + 66546 311.555 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 311.555 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 311.556 * * * * [progress]: [ 345 / 667 ] simplifiying candidate # 311.556 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) 311.556 * * [simplify]: iters left: 6 (19 enodes) 311.569 * * [simplify]: iters left: 5 (75 enodes) 311.581 * * [simplify]: iters left: 4 (107 enodes) 311.598 * * [simplify]: iters left: 3 (152 enodes) 311.640 * * [simplify]: iters left: 2 (249 enodes) 311.698 * * [simplify]: iters left: 1 (420 enodes) 311.838 * * [simplify]: Extracting #0: cost 1 inf + 0 311.839 * * [simplify]: Extracting #1: cost 5 inf + 0 311.839 * * [simplify]: Extracting #2: cost 10 inf + 1 311.839 * * [simplify]: Extracting #3: cost 46 inf + 1 311.840 * * [simplify]: Extracting #4: cost 135 inf + 2 311.841 * * [simplify]: Extracting #5: cost 178 inf + 469 311.847 * * [simplify]: Extracting #6: cost 92 inf + 27015 311.860 * * [simplify]: Extracting #7: cost 16 inf + 54716 311.872 * * [simplify]: Extracting #8: cost 0 inf + 67310 311.883 * * [simplify]: Extracting #9: cost 0 inf + 65656 311.901 * * [simplify]: Extracting #10: cost 0 inf + 65456 311.915 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) 311.915 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 311.915 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 311.915 * * [simplify]: iters left: 6 (17 enodes) 311.920 * * [simplify]: iters left: 5 (68 enodes) 311.935 * * [simplify]: iters left: 4 (107 enodes) 311.957 * * [simplify]: iters left: 3 (151 enodes) 311.997 * * [simplify]: iters left: 2 (232 enodes) 312.064 * * [simplify]: iters left: 1 (413 enodes) 312.228 * * [simplify]: Extracting #0: cost 1 inf + 0 312.228 * * [simplify]: Extracting #1: cost 8 inf + 0 312.228 * * [simplify]: Extracting #2: cost 18 inf + 0 312.228 * * [simplify]: Extracting #3: cost 48 inf + 0 312.229 * * [simplify]: Extracting #4: cost 135 inf + 2 312.231 * * [simplify]: Extracting #5: cost 167 inf + 1120 312.235 * * [simplify]: Extracting #6: cost 110 inf + 9524 312.244 * * [simplify]: Extracting #7: cost 49 inf + 28564 312.260 * * [simplify]: Extracting #8: cost 10 inf + 59846 312.270 * * [simplify]: Extracting #9: cost 0 inf + 68204 312.283 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 312.283 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 312.283 * * * * [progress]: [ 346 / 667 ] simplifiying candidate # 312.284 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 312.284 * * [simplify]: iters left: 6 (19 enodes) 312.294 * * [simplify]: iters left: 5 (75 enodes) 312.317 * * [simplify]: iters left: 4 (110 enodes) 312.342 * * [simplify]: iters left: 3 (152 enodes) 312.383 * * [simplify]: iters left: 2 (248 enodes) 312.442 * * [simplify]: iters left: 1 (420 enodes) 312.667 * * [simplify]: Extracting #0: cost 1 inf + 0 312.667 * * [simplify]: Extracting #1: cost 8 inf + 0 312.667 * * [simplify]: Extracting #2: cost 19 inf + 0 312.668 * * [simplify]: Extracting #3: cost 55 inf + 0 312.668 * * [simplify]: Extracting #4: cost 147 inf + 1 312.670 * * [simplify]: Extracting #5: cost 193 inf + 303 312.674 * * [simplify]: Extracting #6: cost 126 inf + 9210 312.686 * * [simplify]: Extracting #7: cost 45 inf + 34024 312.714 * * [simplify]: Extracting #8: cost 1 inf + 65012 312.740 * * [simplify]: Extracting #9: cost 0 inf + 61059 312.770 * * [simplify]: Extracting #10: cost 0 inf + 60142 312.790 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 312.790 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 312.791 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 312.791 * * [simplify]: iters left: 6 (18 enodes) 312.796 * * [simplify]: iters left: 5 (71 enodes) 312.808 * * [simplify]: iters left: 4 (110 enodes) 312.833 * * [simplify]: iters left: 3 (154 enodes) 312.884 * * [simplify]: iters left: 2 (235 enodes) 312.937 * * [simplify]: iters left: 1 (415 enodes) 313.114 * * [simplify]: Extracting #0: cost 1 inf + 0 313.115 * * [simplify]: Extracting #1: cost 8 inf + 0 313.115 * * [simplify]: Extracting #2: cost 18 inf + 0 313.115 * * [simplify]: Extracting #3: cost 48 inf + 0 313.116 * * [simplify]: Extracting #4: cost 134 inf + 1 313.117 * * [simplify]: Extracting #5: cost 175 inf + 427 313.121 * * [simplify]: Extracting #6: cost 116 inf + 9464 313.131 * * [simplify]: Extracting #7: cost 41 inf + 31219 313.148 * * [simplify]: Extracting #8: cost 5 inf + 60993 313.173 * * [simplify]: Extracting #9: cost 0 inf + 66546 313.193 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 313.193 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 313.193 * * * * [progress]: [ 347 / 667 ] simplifiying candidate # 313.193 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 313.193 * * [simplify]: iters left: 6 (18 enodes) 313.203 * * [simplify]: iters left: 5 (72 enodes) 313.225 * * [simplify]: iters left: 4 (104 enodes) 313.241 * * [simplify]: iters left: 3 (152 enodes) 313.280 * * [simplify]: iters left: 2 (251 enodes) 313.361 * * [simplify]: iters left: 1 (430 enodes) 313.503 * * [simplify]: Extracting #0: cost 1 inf + 0 313.503 * * [simplify]: Extracting #1: cost 5 inf + 0 313.503 * * [simplify]: Extracting #2: cost 10 inf + 1 313.503 * * [simplify]: Extracting #3: cost 41 inf + 1 313.504 * * [simplify]: Extracting #4: cost 130 inf + 2 313.505 * * [simplify]: Extracting #5: cost 186 inf + 262 313.507 * * [simplify]: Extracting #6: cost 133 inf + 5455 313.511 * * [simplify]: Extracting #7: cost 57 inf + 19295 313.524 * * [simplify]: Extracting #8: cost 15 inf + 51709 313.534 * * [simplify]: Extracting #9: cost 0 inf + 64777 313.545 * * [simplify]: Extracting #10: cost 0 inf + 63929 313.563 * * [simplify]: Extracting #11: cost 0 inf + 63121 313.578 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) 313.578 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 313.578 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 313.578 * * [simplify]: iters left: 6 (17 enodes) 313.583 * * [simplify]: iters left: 5 (68 enodes) 313.594 * * [simplify]: iters left: 4 (107 enodes) 313.621 * * [simplify]: iters left: 3 (151 enodes) 313.669 * * [simplify]: iters left: 2 (232 enodes) 313.756 * * [simplify]: iters left: 1 (413 enodes) 313.946 * * [simplify]: Extracting #0: cost 1 inf + 0 313.946 * * [simplify]: Extracting #1: cost 8 inf + 0 313.946 * * [simplify]: Extracting #2: cost 18 inf + 0 313.946 * * [simplify]: Extracting #3: cost 48 inf + 0 313.946 * * [simplify]: Extracting #4: cost 135 inf + 2 313.947 * * [simplify]: Extracting #5: cost 167 inf + 1120 313.949 * * [simplify]: Extracting #6: cost 110 inf + 9524 313.953 * * [simplify]: Extracting #7: cost 49 inf + 28564 313.962 * * [simplify]: Extracting #8: cost 10 inf + 59846 313.972 * * [simplify]: Extracting #9: cost 0 inf + 68204 313.990 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 313.990 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 313.991 * * * * [progress]: [ 348 / 667 ] simplifiying candidate # 313.991 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 313.991 * * [simplify]: iters left: 6 (19 enodes) 314.000 * * [simplify]: iters left: 5 (75 enodes) 314.023 * * [simplify]: iters left: 4 (110 enodes) 314.047 * * [simplify]: iters left: 3 (152 enodes) 314.081 * * [simplify]: iters left: 2 (248 enodes) 314.140 * * [simplify]: iters left: 1 (420 enodes) 314.362 * * [simplify]: Extracting #0: cost 1 inf + 0 314.362 * * [simplify]: Extracting #1: cost 8 inf + 0 314.362 * * [simplify]: Extracting #2: cost 19 inf + 0 314.362 * * [simplify]: Extracting #3: cost 55 inf + 0 314.363 * * [simplify]: Extracting #4: cost 147 inf + 1 314.369 * * [simplify]: Extracting #5: cost 193 inf + 303 314.373 * * [simplify]: Extracting #6: cost 126 inf + 9210 314.380 * * [simplify]: Extracting #7: cost 45 inf + 34024 314.392 * * [simplify]: Extracting #8: cost 1 inf + 65012 314.408 * * [simplify]: Extracting #9: cost 0 inf + 61059 314.434 * * [simplify]: Extracting #10: cost 0 inf + 60142 314.448 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 314.448 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 314.448 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 314.449 * * [simplify]: iters left: 6 (18 enodes) 314.454 * * [simplify]: iters left: 5 (71 enodes) 314.467 * * [simplify]: iters left: 4 (110 enodes) 314.504 * * [simplify]: iters left: 3 (154 enodes) 314.553 * * [simplify]: iters left: 2 (235 enodes) 314.617 * * [simplify]: iters left: 1 (415 enodes) 314.805 * * [simplify]: Extracting #0: cost 1 inf + 0 314.805 * * [simplify]: Extracting #1: cost 8 inf + 0 314.805 * * [simplify]: Extracting #2: cost 18 inf + 0 314.805 * * [simplify]: Extracting #3: cost 48 inf + 0 314.806 * * [simplify]: Extracting #4: cost 134 inf + 1 314.806 * * [simplify]: Extracting #5: cost 175 inf + 427 314.808 * * [simplify]: Extracting #6: cost 116 inf + 9464 314.817 * * [simplify]: Extracting #7: cost 41 inf + 31219 314.828 * * [simplify]: Extracting #8: cost 5 inf + 60993 314.848 * * [simplify]: Extracting #9: cost 0 inf + 66546 314.868 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 314.868 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 314.868 * * * * [progress]: [ 349 / 667 ] simplifiying candidate # 314.869 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 314.869 * * [simplify]: iters left: 6 (17 enodes) 314.878 * * [simplify]: iters left: 5 (67 enodes) 314.896 * * [simplify]: iters left: 4 (104 enodes) 314.912 * * [simplify]: iters left: 3 (151 enodes) 314.953 * * [simplify]: iters left: 2 (233 enodes) 315.006 * * [simplify]: iters left: 1 (417 enodes) 315.210 * * [simplify]: Extracting #0: cost 1 inf + 0 315.210 * * [simplify]: Extracting #1: cost 5 inf + 0 315.210 * * [simplify]: Extracting #2: cost 10 inf + 1 315.210 * * [simplify]: Extracting #3: cost 45 inf + 1 315.211 * * [simplify]: Extracting #4: cost 142 inf + 2 315.212 * * [simplify]: Extracting #5: cost 184 inf + 302 315.216 * * [simplify]: Extracting #6: cost 124 inf + 8737 315.227 * * [simplify]: Extracting #7: cost 39 inf + 38231 315.239 * * [simplify]: Extracting #8: cost 1 inf + 72029 315.254 * * [simplify]: Extracting #9: cost 0 inf + 70050 315.272 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) 315.272 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 315.272 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 315.272 * * [simplify]: iters left: 6 (17 enodes) 315.282 * * [simplify]: iters left: 5 (68 enodes) 315.303 * * [simplify]: iters left: 4 (107 enodes) 315.328 * * [simplify]: iters left: 3 (151 enodes) 315.356 * * [simplify]: iters left: 2 (232 enodes) 315.412 * * [simplify]: iters left: 1 (413 enodes) 315.535 * * [simplify]: Extracting #0: cost 1 inf + 0 315.535 * * [simplify]: Extracting #1: cost 8 inf + 0 315.535 * * [simplify]: Extracting #2: cost 18 inf + 0 315.535 * * [simplify]: Extracting #3: cost 48 inf + 0 315.536 * * [simplify]: Extracting #4: cost 135 inf + 2 315.537 * * [simplify]: Extracting #5: cost 167 inf + 1120 315.539 * * [simplify]: Extracting #6: cost 110 inf + 9524 315.545 * * [simplify]: Extracting #7: cost 49 inf + 28564 315.554 * * [simplify]: Extracting #8: cost 10 inf + 59846 315.564 * * [simplify]: Extracting #9: cost 0 inf + 68204 315.574 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 315.575 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 315.575 * * * * [progress]: [ 350 / 667 ] simplifiying candidate # 315.575 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 315.575 * * [simplify]: iters left: 6 (21 enodes) 315.583 * * [simplify]: iters left: 5 (83 enodes) 315.614 * * [simplify]: iters left: 4 (127 enodes) 315.642 * * [simplify]: iters left: 3 (175 enodes) 315.671 * * [simplify]: iters left: 2 (258 enodes) 315.722 * * [simplify]: iters left: 1 (438 enodes) 315.871 * * [simplify]: Extracting #0: cost 1 inf + 0 315.871 * * [simplify]: Extracting #1: cost 10 inf + 0 315.871 * * [simplify]: Extracting #2: cost 24 inf + 0 315.871 * * [simplify]: Extracting #3: cost 63 inf + 0 315.872 * * [simplify]: Extracting #4: cost 158 inf + 1 315.872 * * [simplify]: Extracting #5: cost 191 inf + 345 315.874 * * [simplify]: Extracting #6: cost 125 inf + 9859 315.881 * * [simplify]: Extracting #7: cost 38 inf + 46249 315.893 * * [simplify]: Extracting #8: cost 5 inf + 74753 315.907 * * [simplify]: Extracting #9: cost 0 inf + 74936 315.928 * * [simplify]: Extracting #10: cost 0 inf + 73941 315.941 * * [simplify]: Extracting #11: cost 0 inf + 73249 315.961 * * [simplify]: Extracting #12: cost 0 inf + 72443 315.986 * [simplify]: Simplified to (/ (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt k)))) 315.986 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))))) 315.987 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) 315.987 * * [simplify]: iters left: 6 (19 enodes) 315.996 * * [simplify]: iters left: 5 (74 enodes) 316.019 * * [simplify]: iters left: 4 (109 enodes) 316.053 * * [simplify]: iters left: 3 (154 enodes) 316.105 * * [simplify]: iters left: 2 (252 enodes) 316.194 * * [simplify]: iters left: 1 (418 enodes) 316.402 * * [simplify]: Extracting #0: cost 1 inf + 0 316.403 * * [simplify]: Extracting #1: cost 8 inf + 0 316.403 * * [simplify]: Extracting #2: cost 18 inf + 0 316.403 * * [simplify]: Extracting #3: cost 51 inf + 0 316.403 * * [simplify]: Extracting #4: cost 143 inf + 1 316.404 * * [simplify]: Extracting #5: cost 191 inf + 970 316.406 * * [simplify]: Extracting #6: cost 120 inf + 10342 316.411 * * [simplify]: Extracting #7: cost 48 inf + 31694 316.422 * * [simplify]: Extracting #8: cost 9 inf + 63154 316.435 * * [simplify]: Extracting #9: cost 0 inf + 68679 316.446 * * [simplify]: Extracting #10: cost 0 inf + 68521 316.457 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) 316.458 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))))) 316.458 * * * * [progress]: [ 351 / 667 ] simplifiying candidate # 316.458 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 316.458 * * [simplify]: iters left: 6 (21 enodes) 316.468 * * [simplify]: iters left: 5 (82 enodes) 316.497 * * [simplify]: iters left: 4 (121 enodes) 316.533 * * [simplify]: iters left: 3 (161 enodes) 316.582 * * [simplify]: iters left: 2 (241 enodes) 316.657 * * [simplify]: iters left: 1 (426 enodes) 316.816 * * [simplify]: Extracting #0: cost 1 inf + 0 316.816 * * [simplify]: Extracting #1: cost 8 inf + 0 316.816 * * [simplify]: Extracting #2: cost 19 inf + 0 316.816 * * [simplify]: Extracting #3: cost 57 inf + 0 316.817 * * [simplify]: Extracting #4: cost 155 inf + 1 316.817 * * [simplify]: Extracting #5: cost 187 inf + 385 316.819 * * [simplify]: Extracting #6: cost 114 inf + 11336 316.828 * * [simplify]: Extracting #7: cost 24 inf + 53080 316.851 * * [simplify]: Extracting #8: cost 0 inf + 74361 316.864 * * [simplify]: Extracting #9: cost 0 inf + 73427 316.875 * * [simplify]: Extracting #10: cost 0 inf + 73008 316.894 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) 316.894 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))))) 316.898 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) 316.898 * * [simplify]: iters left: 6 (19 enodes) 316.907 * * [simplify]: iters left: 5 (74 enodes) 316.929 * * [simplify]: iters left: 4 (109 enodes) 316.947 * * [simplify]: iters left: 3 (154 enodes) 316.986 * * [simplify]: iters left: 2 (252 enodes) 317.062 * * [simplify]: iters left: 1 (418 enodes) 317.248 * * [simplify]: Extracting #0: cost 1 inf + 0 317.248 * * [simplify]: Extracting #1: cost 8 inf + 0 317.248 * * [simplify]: Extracting #2: cost 18 inf + 0 317.248 * * [simplify]: Extracting #3: cost 51 inf + 0 317.249 * * [simplify]: Extracting #4: cost 143 inf + 1 317.250 * * [simplify]: Extracting #5: cost 191 inf + 970 317.255 * * [simplify]: Extracting #6: cost 120 inf + 10422 317.265 * * [simplify]: Extracting #7: cost 48 inf + 31774 317.285 * * [simplify]: Extracting #8: cost 9 inf + 63234 317.308 * * [simplify]: Extracting #9: cost 0 inf + 68759 317.330 * * [simplify]: Extracting #10: cost 0 inf + 68601 317.352 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) 317.353 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))))) 317.353 * * * * [progress]: [ 352 / 667 ] simplifiying candidate # 317.353 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 317.353 * * [simplify]: iters left: 6 (17 enodes) 317.362 * * [simplify]: iters left: 5 (69 enodes) 317.383 * * [simplify]: iters left: 4 (103 enodes) 317.417 * * [simplify]: iters left: 3 (146 enodes) 317.464 * * [simplify]: iters left: 2 (227 enodes) 317.549 * * [simplify]: iters left: 1 (404 enodes) 317.743 * * [simplify]: Extracting #0: cost 1 inf + 0 317.743 * * [simplify]: Extracting #1: cost 6 inf + 0 317.743 * * [simplify]: Extracting #2: cost 14 inf + 0 317.743 * * [simplify]: Extracting #3: cost 48 inf + 0 317.744 * * [simplify]: Extracting #4: cost 135 inf + 2 317.745 * * [simplify]: Extracting #5: cost 170 inf + 1234 317.750 * * [simplify]: Extracting #6: cost 108 inf + 10722 317.760 * * [simplify]: Extracting #7: cost 38 inf + 35695 317.775 * * [simplify]: Extracting #8: cost 2 inf + 66087 317.785 * * [simplify]: Extracting #9: cost 0 inf + 67752 317.798 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 317.798 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))))) 317.799 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) 317.799 * * [simplify]: iters left: 6 (16 enodes) 317.807 * * [simplify]: iters left: 5 (65 enodes) 317.826 * * [simplify]: iters left: 4 (99 enodes) 317.842 * * [simplify]: iters left: 3 (138 enodes) 317.883 * * [simplify]: iters left: 2 (218 enodes) 317.933 * * [simplify]: iters left: 1 (399 enodes) 318.110 * * [simplify]: Extracting #0: cost 1 inf + 0 318.110 * * [simplify]: Extracting #1: cost 6 inf + 0 318.110 * * [simplify]: Extracting #2: cost 13 inf + 0 318.110 * * [simplify]: Extracting #3: cost 46 inf + 0 318.111 * * [simplify]: Extracting #4: cost 131 inf + 164 318.111 * * [simplify]: Extracting #5: cost 172 inf + 831 318.113 * * [simplify]: Extracting #6: cost 126 inf + 5827 318.117 * * [simplify]: Extracting #7: cost 63 inf + 19094 318.124 * * [simplify]: Extracting #8: cost 12 inf + 57226 318.135 * * [simplify]: Extracting #9: cost 0 inf + 67624 318.145 * * [simplify]: Extracting #10: cost 0 inf + 67453 318.164 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 318.164 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 318.165 * * * * [progress]: [ 353 / 667 ] simplifiying candidate # 318.165 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 318.165 * * [simplify]: iters left: 6 (20 enodes) 318.179 * * [simplify]: iters left: 5 (78 enodes) 318.203 * * [simplify]: iters left: 4 (117 enodes) 318.226 * * [simplify]: iters left: 3 (157 enodes) 318.256 * * [simplify]: iters left: 2 (237 enodes) 318.345 * * [simplify]: iters left: 1 (422 enodes) 318.573 * * [simplify]: Extracting #0: cost 1 inf + 0 318.573 * * [simplify]: Extracting #1: cost 8 inf + 0 318.573 * * [simplify]: Extracting #2: cost 18 inf + 0 318.573 * * [simplify]: Extracting #3: cost 57 inf + 0 318.574 * * [simplify]: Extracting #4: cost 156 inf + 1 318.575 * * [simplify]: Extracting #5: cost 190 inf + 386 318.579 * * [simplify]: Extracting #6: cost 125 inf + 9342 318.590 * * [simplify]: Extracting #7: cost 45 inf + 40025 318.611 * * [simplify]: Extracting #8: cost 3 inf + 74272 318.634 * * [simplify]: Extracting #9: cost 0 inf + 76491 318.655 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 318.655 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 318.656 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 318.656 * * [simplify]: iters left: 6 (19 enodes) 318.661 * * [simplify]: iters left: 5 (74 enodes) 318.673 * * [simplify]: iters left: 4 (109 enodes) 318.695 * * [simplify]: iters left: 3 (154 enodes) 318.746 * * [simplify]: iters left: 2 (252 enodes) 318.831 * * [simplify]: iters left: 1 (418 enodes) 318.986 * * [simplify]: Extracting #0: cost 1 inf + 0 318.986 * * [simplify]: Extracting #1: cost 8 inf + 0 318.986 * * [simplify]: Extracting #2: cost 18 inf + 0 318.986 * * [simplify]: Extracting #3: cost 51 inf + 0 318.986 * * [simplify]: Extracting #4: cost 143 inf + 1 318.987 * * [simplify]: Extracting #5: cost 191 inf + 970 318.989 * * [simplify]: Extracting #6: cost 120 inf + 10342 318.994 * * [simplify]: Extracting #7: cost 48 inf + 31534 319.008 * * [simplify]: Extracting #8: cost 9 inf + 62874 319.029 * * [simplify]: Extracting #9: cost 0 inf + 68359 319.051 * * [simplify]: Extracting #10: cost 0 inf + 68201 319.073 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 319.073 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 319.073 * * * * [progress]: [ 354 / 667 ] simplifiying candidate # 319.074 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) 319.074 * * [simplify]: iters left: 6 (19 enodes) 319.086 * * [simplify]: iters left: 5 (75 enodes) 319.109 * * [simplify]: iters left: 4 (107 enodes) 319.140 * * [simplify]: iters left: 3 (152 enodes) 319.171 * * [simplify]: iters left: 2 (249 enodes) 319.234 * * [simplify]: iters left: 1 (420 enodes) 319.404 * * [simplify]: Extracting #0: cost 1 inf + 0 319.404 * * [simplify]: Extracting #1: cost 5 inf + 0 319.404 * * [simplify]: Extracting #2: cost 9 inf + 1 319.404 * * [simplify]: Extracting #3: cost 45 inf + 1 319.405 * * [simplify]: Extracting #4: cost 135 inf + 2 319.406 * * [simplify]: Extracting #5: cost 178 inf + 469 319.413 * * [simplify]: Extracting #6: cost 90 inf + 27884 319.431 * * [simplify]: Extracting #7: cost 19 inf + 53932 319.451 * * [simplify]: Extracting #8: cost 0 inf + 67310 319.465 * * [simplify]: Extracting #9: cost 0 inf + 65656 319.476 * * [simplify]: Extracting #10: cost 0 inf + 65456 319.494 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k)))) 319.495 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 319.495 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 319.495 * * [simplify]: iters left: 6 (18 enodes) 319.504 * * [simplify]: iters left: 5 (71 enodes) 319.522 * * [simplify]: iters left: 4 (110 enodes) 319.539 * * [simplify]: iters left: 3 (154 enodes) 319.587 * * [simplify]: iters left: 2 (235 enodes) 319.656 * * [simplify]: iters left: 1 (415 enodes) 319.824 * * [simplify]: Extracting #0: cost 1 inf + 0 319.825 * * [simplify]: Extracting #1: cost 8 inf + 0 319.825 * * [simplify]: Extracting #2: cost 18 inf + 0 319.825 * * [simplify]: Extracting #3: cost 49 inf + 0 319.825 * * [simplify]: Extracting #4: cost 131 inf + 124 319.826 * * [simplify]: Extracting #5: cost 160 inf + 2062 319.828 * * [simplify]: Extracting #6: cost 98 inf + 11954 319.833 * * [simplify]: Extracting #7: cost 39 inf + 31916 319.846 * * [simplify]: Extracting #8: cost 5 inf + 60833 319.867 * * [simplify]: Extracting #9: cost 0 inf + 66386 319.890 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 319.891 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 319.891 * * * * [progress]: [ 355 / 667 ] simplifiying candidate # 319.891 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 319.892 * * [simplify]: iters left: 6 (20 enodes) 319.902 * * [simplify]: iters left: 5 (78 enodes) 319.925 * * [simplify]: iters left: 4 (117 enodes) 319.960 * * [simplify]: iters left: 3 (157 enodes) 320.009 * * [simplify]: iters left: 2 (237 enodes) 320.077 * * [simplify]: iters left: 1 (422 enodes) 320.245 * * [simplify]: Extracting #0: cost 1 inf + 0 320.245 * * [simplify]: Extracting #1: cost 8 inf + 0 320.245 * * [simplify]: Extracting #2: cost 18 inf + 0 320.245 * * [simplify]: Extracting #3: cost 57 inf + 0 320.246 * * [simplify]: Extracting #4: cost 156 inf + 1 320.247 * * [simplify]: Extracting #5: cost 190 inf + 386 320.249 * * [simplify]: Extracting #6: cost 125 inf + 9342 320.254 * * [simplify]: Extracting #7: cost 45 inf + 40025 320.265 * * [simplify]: Extracting #8: cost 3 inf + 74272 320.286 * * [simplify]: Extracting #9: cost 0 inf + 76491 320.298 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 320.298 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 320.298 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 320.298 * * [simplify]: iters left: 6 (19 enodes) 320.303 * * [simplify]: iters left: 5 (74 enodes) 320.319 * * [simplify]: iters left: 4 (109 enodes) 320.347 * * [simplify]: iters left: 3 (154 enodes) 320.374 * * [simplify]: iters left: 2 (252 enodes) 320.442 * * [simplify]: iters left: 1 (418 enodes) 320.617 * * [simplify]: Extracting #0: cost 1 inf + 0 320.617 * * [simplify]: Extracting #1: cost 8 inf + 0 320.617 * * [simplify]: Extracting #2: cost 18 inf + 0 320.617 * * [simplify]: Extracting #3: cost 51 inf + 0 320.617 * * [simplify]: Extracting #4: cost 143 inf + 1 320.618 * * [simplify]: Extracting #5: cost 191 inf + 970 320.621 * * [simplify]: Extracting #6: cost 120 inf + 10342 320.629 * * [simplify]: Extracting #7: cost 48 inf + 31534 320.645 * * [simplify]: Extracting #8: cost 9 inf + 62874 320.667 * * [simplify]: Extracting #9: cost 0 inf + 68359 320.688 * * [simplify]: Extracting #10: cost 0 inf + 68201 320.710 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 320.711 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 320.711 * * * * [progress]: [ 356 / 667 ] simplifiying candidate # 320.711 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) 320.711 * * [simplify]: iters left: 6 (18 enodes) 320.716 * * [simplify]: iters left: 5 (72 enodes) 320.728 * * [simplify]: iters left: 4 (104 enodes) 320.751 * * [simplify]: iters left: 3 (152 enodes) 320.778 * * [simplify]: iters left: 2 (251 enodes) 320.831 * * [simplify]: iters left: 1 (430 enodes) 321.016 * * [simplify]: Extracting #0: cost 1 inf + 0 321.016 * * [simplify]: Extracting #1: cost 5 inf + 0 321.016 * * [simplify]: Extracting #2: cost 9 inf + 1 321.016 * * [simplify]: Extracting #3: cost 40 inf + 1 321.016 * * [simplify]: Extracting #4: cost 130 inf + 2 321.017 * * [simplify]: Extracting #5: cost 186 inf + 262 321.019 * * [simplify]: Extracting #6: cost 133 inf + 5455 321.023 * * [simplify]: Extracting #7: cost 57 inf + 19295 321.030 * * [simplify]: Extracting #8: cost 15 inf + 51709 321.047 * * [simplify]: Extracting #9: cost 0 inf + 64777 321.068 * * [simplify]: Extracting #10: cost 0 inf + 63929 321.078 * * [simplify]: Extracting #11: cost 0 inf + 63121 321.089 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (fabs (cbrt k)))) 321.089 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 321.089 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 321.090 * * [simplify]: iters left: 6 (18 enodes) 321.095 * * [simplify]: iters left: 5 (71 enodes) 321.117 * * [simplify]: iters left: 4 (110 enodes) 321.148 * * [simplify]: iters left: 3 (154 enodes) 321.180 * * [simplify]: iters left: 2 (235 enodes) 321.229 * * [simplify]: iters left: 1 (415 enodes) 321.391 * * [simplify]: Extracting #0: cost 1 inf + 0 321.391 * * [simplify]: Extracting #1: cost 8 inf + 0 321.391 * * [simplify]: Extracting #2: cost 18 inf + 0 321.391 * * [simplify]: Extracting #3: cost 49 inf + 0 321.392 * * [simplify]: Extracting #4: cost 131 inf + 124 321.394 * * [simplify]: Extracting #5: cost 160 inf + 2062 321.398 * * [simplify]: Extracting #6: cost 98 inf + 11954 321.405 * * [simplify]: Extracting #7: cost 39 inf + 31916 321.418 * * [simplify]: Extracting #8: cost 5 inf + 60833 321.428 * * [simplify]: Extracting #9: cost 0 inf + 66386 321.438 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 321.438 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 321.438 * * * * [progress]: [ 357 / 667 ] simplifiying candidate # 321.438 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 321.438 * * [simplify]: iters left: 6 (20 enodes) 321.444 * * [simplify]: iters left: 5 (78 enodes) 321.456 * * [simplify]: iters left: 4 (117 enodes) 321.484 * * [simplify]: iters left: 3 (157 enodes) 321.513 * * [simplify]: iters left: 2 (237 enodes) 321.597 * * [simplify]: iters left: 1 (422 enodes) 321.768 * * [simplify]: Extracting #0: cost 1 inf + 0 321.768 * * [simplify]: Extracting #1: cost 8 inf + 0 321.768 * * [simplify]: Extracting #2: cost 18 inf + 0 321.768 * * [simplify]: Extracting #3: cost 57 inf + 0 321.769 * * [simplify]: Extracting #4: cost 156 inf + 1 321.769 * * [simplify]: Extracting #5: cost 190 inf + 386 321.772 * * [simplify]: Extracting #6: cost 125 inf + 9342 321.777 * * [simplify]: Extracting #7: cost 45 inf + 40025 321.788 * * [simplify]: Extracting #8: cost 3 inf + 74272 321.804 * * [simplify]: Extracting #9: cost 0 inf + 76491 321.830 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 321.830 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 321.831 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 321.831 * * [simplify]: iters left: 6 (19 enodes) 321.840 * * [simplify]: iters left: 5 (74 enodes) 321.862 * * [simplify]: iters left: 4 (109 enodes) 321.880 * * [simplify]: iters left: 3 (154 enodes) 321.916 * * [simplify]: iters left: 2 (252 enodes) 321.975 * * [simplify]: iters left: 1 (418 enodes) 322.121 * * [simplify]: Extracting #0: cost 1 inf + 0 322.121 * * [simplify]: Extracting #1: cost 8 inf + 0 322.121 * * [simplify]: Extracting #2: cost 18 inf + 0 322.121 * * [simplify]: Extracting #3: cost 51 inf + 0 322.122 * * [simplify]: Extracting #4: cost 143 inf + 1 322.123 * * [simplify]: Extracting #5: cost 191 inf + 970 322.125 * * [simplify]: Extracting #6: cost 120 inf + 10342 322.130 * * [simplify]: Extracting #7: cost 48 inf + 31534 322.142 * * [simplify]: Extracting #8: cost 9 inf + 62874 322.163 * * [simplify]: Extracting #9: cost 0 inf + 68359 322.175 * * [simplify]: Extracting #10: cost 0 inf + 68201 322.186 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 322.186 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 322.186 * * * * [progress]: [ 358 / 667 ] simplifiying candidate # 322.187 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) 322.187 * * [simplify]: iters left: 6 (17 enodes) 322.191 * * [simplify]: iters left: 5 (67 enodes) 322.209 * * [simplify]: iters left: 4 (104 enodes) 322.225 * * [simplify]: iters left: 3 (151 enodes) 322.265 * * [simplify]: iters left: 2 (233 enodes) 322.350 * * [simplify]: iters left: 1 (417 enodes) 322.521 * * [simplify]: Extracting #0: cost 1 inf + 0 322.521 * * [simplify]: Extracting #1: cost 5 inf + 0 322.521 * * [simplify]: Extracting #2: cost 9 inf + 1 322.521 * * [simplify]: Extracting #3: cost 44 inf + 1 322.521 * * [simplify]: Extracting #4: cost 142 inf + 2 322.522 * * [simplify]: Extracting #5: cost 184 inf + 302 322.524 * * [simplify]: Extracting #6: cost 122 inf + 9066 322.531 * * [simplify]: Extracting #7: cost 33 inf + 43237 322.544 * * [simplify]: Extracting #8: cost 1 inf + 72033 322.566 * * [simplify]: Extracting #9: cost 0 inf + 70049 322.588 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k)))) 322.589 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 322.589 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 322.589 * * [simplify]: iters left: 6 (18 enodes) 322.598 * * [simplify]: iters left: 5 (71 enodes) 322.621 * * [simplify]: iters left: 4 (110 enodes) 322.659 * * [simplify]: iters left: 3 (154 enodes) 322.684 * * [simplify]: iters left: 2 (235 enodes) 322.768 * * [simplify]: iters left: 1 (415 enodes) 322.947 * * [simplify]: Extracting #0: cost 1 inf + 0 322.948 * * [simplify]: Extracting #1: cost 8 inf + 0 322.948 * * [simplify]: Extracting #2: cost 18 inf + 0 322.948 * * [simplify]: Extracting #3: cost 49 inf + 0 322.949 * * [simplify]: Extracting #4: cost 131 inf + 124 322.950 * * [simplify]: Extracting #5: cost 160 inf + 2062 322.955 * * [simplify]: Extracting #6: cost 98 inf + 11954 322.965 * * [simplify]: Extracting #7: cost 39 inf + 31916 322.987 * * [simplify]: Extracting #8: cost 5 inf + 60833 323.006 * * [simplify]: Extracting #9: cost 0 inf + 66386 323.026 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 323.027 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 323.027 * * * * [progress]: [ 359 / 667 ] simplifiying candidate # 323.027 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 323.027 * * [simplify]: iters left: 6 (18 enodes) 323.037 * * [simplify]: iters left: 5 (73 enodes) 323.060 * * [simplify]: iters left: 4 (117 enodes) 323.095 * * [simplify]: iters left: 3 (164 enodes) 323.148 * * [simplify]: iters left: 2 (247 enodes) 323.235 * * [simplify]: iters left: 1 (429 enodes) 323.405 * * [simplify]: Extracting #0: cost 1 inf + 0 323.405 * * [simplify]: Extracting #1: cost 10 inf + 0 323.405 * * [simplify]: Extracting #2: cost 23 inf + 0 323.406 * * [simplify]: Extracting #3: cost 55 inf + 0 323.407 * * [simplify]: Extracting #4: cost 142 inf + 1 323.408 * * [simplify]: Extracting #5: cost 175 inf + 428 323.412 * * [simplify]: Extracting #6: cost 119 inf + 6975 323.423 * * [simplify]: Extracting #7: cost 36 inf + 41676 323.442 * * [simplify]: Extracting #8: cost 1 inf + 72052 323.456 * * [simplify]: Extracting #9: cost 0 inf + 72118 323.468 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 323.468 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 323.468 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 323.468 * * [simplify]: iters left: 6 (17 enodes) 323.475 * * [simplify]: iters left: 5 (68 enodes) 323.490 * * [simplify]: iters left: 4 (107 enodes) 323.507 * * [simplify]: iters left: 3 (151 enodes) 323.550 * * [simplify]: iters left: 2 (232 enodes) 323.614 * * [simplify]: iters left: 1 (413 enodes) 323.775 * * [simplify]: Extracting #0: cost 1 inf + 0 323.775 * * [simplify]: Extracting #1: cost 8 inf + 0 323.775 * * [simplify]: Extracting #2: cost 17 inf + 0 323.775 * * [simplify]: Extracting #3: cost 46 inf + 0 323.776 * * [simplify]: Extracting #4: cost 136 inf + 1 323.778 * * [simplify]: Extracting #5: cost 176 inf + 385 323.780 * * [simplify]: Extracting #6: cost 122 inf + 8012 323.784 * * [simplify]: Extracting #7: cost 58 inf + 21732 323.792 * * [simplify]: Extracting #8: cost 15 inf + 55794 323.804 * * [simplify]: Extracting #9: cost 0 inf + 68246 323.815 * * [simplify]: Extracting #10: cost 0 inf + 67651 323.833 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 323.833 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 323.833 * * * * [progress]: [ 360 / 667 ] simplifiying candidate # 323.833 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 323.833 * * [simplify]: iters left: 6 (19 enodes) 323.839 * * [simplify]: iters left: 5 (75 enodes) 323.854 * * [simplify]: iters left: 4 (110 enodes) 323.878 * * [simplify]: iters left: 3 (152 enodes) 323.920 * * [simplify]: iters left: 2 (248 enodes) 323.974 * * [simplify]: iters left: 1 (420 enodes) 324.126 * * [simplify]: Extracting #0: cost 1 inf + 0 324.126 * * [simplify]: Extracting #1: cost 8 inf + 0 324.126 * * [simplify]: Extracting #2: cost 19 inf + 0 324.127 * * [simplify]: Extracting #3: cost 55 inf + 0 324.127 * * [simplify]: Extracting #4: cost 147 inf + 1 324.129 * * [simplify]: Extracting #5: cost 193 inf + 303 324.133 * * [simplify]: Extracting #6: cost 121 inf + 12033 324.144 * * [simplify]: Extracting #7: cost 42 inf + 33950 324.156 * * [simplify]: Extracting #8: cost 2 inf + 64305 324.169 * * [simplify]: Extracting #9: cost 0 inf + 60968 324.193 * * [simplify]: Extracting #10: cost 0 inf + 60142 324.221 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 324.222 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 324.222 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 324.222 * * [simplify]: iters left: 6 (18 enodes) 324.231 * * [simplify]: iters left: 5 (71 enodes) 324.257 * * [simplify]: iters left: 4 (110 enodes) 324.289 * * [simplify]: iters left: 3 (154 enodes) 324.338 * * [simplify]: iters left: 2 (235 enodes) 324.417 * * [simplify]: iters left: 1 (415 enodes) 324.595 * * [simplify]: Extracting #0: cost 1 inf + 0 324.595 * * [simplify]: Extracting #1: cost 8 inf + 0 324.595 * * [simplify]: Extracting #2: cost 18 inf + 0 324.595 * * [simplify]: Extracting #3: cost 48 inf + 0 324.595 * * [simplify]: Extracting #4: cost 134 inf + 1 324.596 * * [simplify]: Extracting #5: cost 175 inf + 427 324.598 * * [simplify]: Extracting #6: cost 116 inf + 9464 324.603 * * [simplify]: Extracting #7: cost 41 inf + 31219 324.612 * * [simplify]: Extracting #8: cost 5 inf + 60993 324.621 * * [simplify]: Extracting #9: cost 0 inf + 66546 324.636 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 324.636 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 324.637 * * * * [progress]: [ 361 / 667 ] simplifiying candidate # 324.637 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 324.637 * * [simplify]: iters left: 6 (20 enodes) 324.647 * * [simplify]: iters left: 5 (78 enodes) 324.671 * * [simplify]: iters left: 4 (117 enodes) 324.701 * * [simplify]: iters left: 3 (157 enodes) 324.732 * * [simplify]: iters left: 2 (237 enodes) 324.791 * * [simplify]: iters left: 1 (422 enodes) 324.978 * * [simplify]: Extracting #0: cost 1 inf + 0 324.978 * * [simplify]: Extracting #1: cost 8 inf + 0 324.978 * * [simplify]: Extracting #2: cost 18 inf + 0 324.978 * * [simplify]: Extracting #3: cost 57 inf + 0 324.979 * * [simplify]: Extracting #4: cost 156 inf + 1 324.979 * * [simplify]: Extracting #5: cost 190 inf + 386 324.982 * * [simplify]: Extracting #6: cost 122 inf + 10573 324.987 * * [simplify]: Extracting #7: cost 43 inf + 38046 325.001 * * [simplify]: Extracting #8: cost 2 inf + 75047 325.022 * * [simplify]: Extracting #9: cost 0 inf + 76491 325.039 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 325.039 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 325.039 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 325.039 * * [simplify]: iters left: 6 (19 enodes) 325.045 * * [simplify]: iters left: 5 (74 enodes) 325.057 * * [simplify]: iters left: 4 (109 enodes) 325.080 * * [simplify]: iters left: 3 (154 enodes) 325.134 * * [simplify]: iters left: 2 (252 enodes) 325.188 * * [simplify]: iters left: 1 (418 enodes) 325.314 * * [simplify]: Extracting #0: cost 1 inf + 0 325.314 * * [simplify]: Extracting #1: cost 8 inf + 0 325.314 * * [simplify]: Extracting #2: cost 18 inf + 0 325.314 * * [simplify]: Extracting #3: cost 51 inf + 0 325.314 * * [simplify]: Extracting #4: cost 143 inf + 1 325.316 * * [simplify]: Extracting #5: cost 191 inf + 970 325.320 * * [simplify]: Extracting #6: cost 120 inf + 10262 325.325 * * [simplify]: Extracting #7: cost 48 inf + 31454 325.335 * * [simplify]: Extracting #8: cost 9 inf + 62874 325.351 * * [simplify]: Extracting #9: cost 0 inf + 68359 325.373 * * [simplify]: Extracting #10: cost 0 inf + 68201 325.399 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 325.400 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 325.400 * * * * [progress]: [ 362 / 667 ] simplifiying candidate # 325.400 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 325.400 * * [simplify]: iters left: 6 (16 enodes) 325.409 * * [simplify]: iters left: 5 (65 enodes) 325.429 * * [simplify]: iters left: 4 (99 enodes) 325.445 * * [simplify]: iters left: 3 (138 enodes) 325.474 * * [simplify]: iters left: 2 (218 enodes) 325.544 * * [simplify]: iters left: 1 (399 enodes) 325.689 * * [simplify]: Extracting #0: cost 1 inf + 0 325.689 * * [simplify]: Extracting #1: cost 6 inf + 0 325.689 * * [simplify]: Extracting #2: cost 13 inf + 0 325.689 * * [simplify]: Extracting #3: cost 46 inf + 0 325.690 * * [simplify]: Extracting #4: cost 131 inf + 84 325.691 * * [simplify]: Extracting #5: cost 172 inf + 671 325.695 * * [simplify]: Extracting #6: cost 126 inf + 5587 325.703 * * [simplify]: Extracting #7: cost 63 inf + 18774 325.719 * * [simplify]: Extracting #8: cost 12 inf + 56826 325.731 * * [simplify]: Extracting #9: cost 0 inf + 67224 325.741 * * [simplify]: Extracting #10: cost 0 inf + 67053 325.752 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 325.752 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 325.752 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 325.753 * * [simplify]: iters left: 6 (16 enodes) 325.758 * * [simplify]: iters left: 5 (65 enodes) 325.770 * * [simplify]: iters left: 4 (99 enodes) 325.788 * * [simplify]: iters left: 3 (138 enodes) 325.811 * * [simplify]: iters left: 2 (218 enodes) 325.867 * * [simplify]: iters left: 1 (399 enodes) 326.007 * * [simplify]: Extracting #0: cost 1 inf + 0 326.007 * * [simplify]: Extracting #1: cost 6 inf + 0 326.008 * * [simplify]: Extracting #2: cost 13 inf + 0 326.008 * * [simplify]: Extracting #3: cost 46 inf + 0 326.009 * * [simplify]: Extracting #4: cost 131 inf + 84 326.010 * * [simplify]: Extracting #5: cost 172 inf + 671 326.013 * * [simplify]: Extracting #6: cost 126 inf + 5587 326.021 * * [simplify]: Extracting #7: cost 63 inf + 18774 326.036 * * [simplify]: Extracting #8: cost 12 inf + 56826 326.056 * * [simplify]: Extracting #9: cost 0 inf + 67224 326.070 * * [simplify]: Extracting #10: cost 0 inf + 67053 326.080 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 326.080 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 326.080 * * * * [progress]: [ 363 / 667 ] simplifiying candidate # 326.080 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 326.081 * * [simplify]: iters left: 6 (18 enodes) 326.089 * * [simplify]: iters left: 5 (71 enodes) 326.108 * * [simplify]: iters left: 4 (107 enodes) 326.125 * * [simplify]: iters left: 3 (154 enodes) 326.157 * * [simplify]: iters left: 2 (236 enodes) 326.208 * * [simplify]: iters left: 1 (409 enodes) 326.369 * * [simplify]: Extracting #0: cost 1 inf + 0 326.369 * * [simplify]: Extracting #1: cost 5 inf + 0 326.369 * * [simplify]: Extracting #2: cost 9 inf + 1 326.370 * * [simplify]: Extracting #3: cost 40 inf + 1 326.370 * * [simplify]: Extracting #4: cost 124 inf + 2 326.371 * * [simplify]: Extracting #5: cost 166 inf + 466 326.373 * * [simplify]: Extracting #6: cost 119 inf + 6646 326.376 * * [simplify]: Extracting #7: cost 59 inf + 17287 326.386 * * [simplify]: Extracting #8: cost 29 inf + 36052 326.400 * * [simplify]: Extracting #9: cost 1 inf + 59112 326.410 * * [simplify]: Extracting #10: cost 0 inf + 59987 326.421 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 326.421 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 326.421 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 326.421 * * [simplify]: iters left: 6 (16 enodes) 326.426 * * [simplify]: iters left: 5 (65 enodes) 326.437 * * [simplify]: iters left: 4 (104 enodes) 326.460 * * [simplify]: iters left: 3 (144 enodes) 326.496 * * [simplify]: iters left: 2 (224 enodes) 326.557 * * [simplify]: iters left: 1 (402 enodes) 326.696 * * [simplify]: Extracting #0: cost 1 inf + 0 326.696 * * [simplify]: Extracting #1: cost 8 inf + 0 326.696 * * [simplify]: Extracting #2: cost 17 inf + 0 326.697 * * [simplify]: Extracting #3: cost 51 inf + 0 326.697 * * [simplify]: Extracting #4: cost 140 inf + 2 326.699 * * [simplify]: Extracting #5: cost 168 inf + 588 326.702 * * [simplify]: Extracting #6: cost 127 inf + 5330 326.709 * * [simplify]: Extracting #7: cost 78 inf + 14722 326.729 * * [simplify]: Extracting #8: cost 14 inf + 60776 326.749 * * [simplify]: Extracting #9: cost 0 inf + 74220 326.768 * * [simplify]: Extracting #10: cost 0 inf + 73536 326.791 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 326.791 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 326.791 * * * * [progress]: [ 364 / 667 ] simplifiying candidate # 326.792 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 326.792 * * [simplify]: iters left: 6 (16 enodes) 326.800 * * [simplify]: iters left: 5 (65 enodes) 326.819 * * [simplify]: iters left: 4 (99 enodes) 326.837 * * [simplify]: iters left: 3 (138 enodes) 326.875 * * [simplify]: iters left: 2 (218 enodes) 326.921 * * [simplify]: iters left: 1 (399 enodes) 327.041 * * [simplify]: Extracting #0: cost 1 inf + 0 327.041 * * [simplify]: Extracting #1: cost 6 inf + 0 327.042 * * [simplify]: Extracting #2: cost 13 inf + 0 327.042 * * [simplify]: Extracting #3: cost 46 inf + 0 327.042 * * [simplify]: Extracting #4: cost 131 inf + 84 327.043 * * [simplify]: Extracting #5: cost 172 inf + 671 327.045 * * [simplify]: Extracting #6: cost 126 inf + 5587 327.048 * * [simplify]: Extracting #7: cost 63 inf + 18774 327.060 * * [simplify]: Extracting #8: cost 12 inf + 56826 327.079 * * [simplify]: Extracting #9: cost 0 inf + 67224 327.101 * * [simplify]: Extracting #10: cost 0 inf + 67053 327.127 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 327.127 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 327.128 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 327.128 * * [simplify]: iters left: 6 (16 enodes) 327.136 * * [simplify]: iters left: 5 (65 enodes) 327.147 * * [simplify]: iters left: 4 (99 enodes) 327.164 * * [simplify]: iters left: 3 (138 enodes) 327.198 * * [simplify]: iters left: 2 (218 enodes) 327.272 * * [simplify]: iters left: 1 (399 enodes) 327.426 * * [simplify]: Extracting #0: cost 1 inf + 0 327.426 * * [simplify]: Extracting #1: cost 6 inf + 0 327.426 * * [simplify]: Extracting #2: cost 13 inf + 0 327.427 * * [simplify]: Extracting #3: cost 46 inf + 0 327.432 * * [simplify]: Extracting #4: cost 131 inf + 84 327.434 * * [simplify]: Extracting #5: cost 172 inf + 671 327.436 * * [simplify]: Extracting #6: cost 126 inf + 5587 327.439 * * [simplify]: Extracting #7: cost 63 inf + 18774 327.447 * * [simplify]: Extracting #8: cost 12 inf + 56826 327.458 * * [simplify]: Extracting #9: cost 0 inf + 67224 327.476 * * [simplify]: Extracting #10: cost 0 inf + 67053 327.486 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 327.486 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 327.486 * * * * [progress]: [ 365 / 667 ] simplifiying candidate # 327.487 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 327.487 * * [simplify]: iters left: 6 (17 enodes) 327.493 * * [simplify]: iters left: 5 (68 enodes) 327.505 * * [simplify]: iters left: 4 (104 enodes) 327.539 * * [simplify]: iters left: 3 (151 enodes) 327.572 * * [simplify]: iters left: 2 (233 enodes) 327.626 * * [simplify]: iters left: 1 (413 enodes) 327.805 * * [simplify]: Extracting #0: cost 1 inf + 0 327.805 * * [simplify]: Extracting #1: cost 5 inf + 0 327.806 * * [simplify]: Extracting #2: cost 9 inf + 1 327.806 * * [simplify]: Extracting #3: cost 39 inf + 1 327.806 * * [simplify]: Extracting #4: cost 124 inf + 2 327.808 * * [simplify]: Extracting #5: cost 166 inf + 469 327.812 * * [simplify]: Extracting #6: cost 100 inf + 10555 327.822 * * [simplify]: Extracting #7: cost 36 inf + 31929 327.840 * * [simplify]: Extracting #8: cost 2 inf + 59817 327.855 * * [simplify]: Extracting #9: cost 0 inf + 60119 327.865 * * [simplify]: Extracting #10: cost 0 inf + 59947 327.875 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 327.875 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 327.875 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 327.875 * * [simplify]: iters left: 6 (16 enodes) 327.881 * * [simplify]: iters left: 5 (65 enodes) 327.902 * * [simplify]: iters left: 4 (104 enodes) 327.934 * * [simplify]: iters left: 3 (144 enodes) 327.979 * * [simplify]: iters left: 2 (224 enodes) 328.036 * * [simplify]: iters left: 1 (402 enodes) 328.224 * * [simplify]: Extracting #0: cost 1 inf + 0 328.224 * * [simplify]: Extracting #1: cost 8 inf + 0 328.224 * * [simplify]: Extracting #2: cost 17 inf + 0 328.224 * * [simplify]: Extracting #3: cost 51 inf + 0 328.225 * * [simplify]: Extracting #4: cost 140 inf + 2 328.226 * * [simplify]: Extracting #5: cost 168 inf + 588 328.227 * * [simplify]: Extracting #6: cost 127 inf + 5330 328.231 * * [simplify]: Extracting #7: cost 78 inf + 14722 328.239 * * [simplify]: Extracting #8: cost 14 inf + 60776 328.254 * * [simplify]: Extracting #9: cost 0 inf + 74220 328.277 * * [simplify]: Extracting #10: cost 0 inf + 73536 328.299 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 328.299 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 328.300 * * * * [progress]: [ 366 / 667 ] simplifiying candidate # 328.300 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 328.300 * * [simplify]: iters left: 6 (16 enodes) 328.304 * * [simplify]: iters left: 5 (65 enodes) 328.315 * * [simplify]: iters left: 4 (99 enodes) 328.337 * * [simplify]: iters left: 3 (138 enodes) 328.382 * * [simplify]: iters left: 2 (218 enodes) 328.441 * * [simplify]: iters left: 1 (399 enodes) 328.623 * * [simplify]: Extracting #0: cost 1 inf + 0 328.623 * * [simplify]: Extracting #1: cost 6 inf + 0 328.623 * * [simplify]: Extracting #2: cost 13 inf + 0 328.623 * * [simplify]: Extracting #3: cost 46 inf + 0 328.623 * * [simplify]: Extracting #4: cost 131 inf + 84 328.624 * * [simplify]: Extracting #5: cost 172 inf + 671 328.626 * * [simplify]: Extracting #6: cost 126 inf + 5587 328.629 * * [simplify]: Extracting #7: cost 63 inf + 18774 328.637 * * [simplify]: Extracting #8: cost 12 inf + 56826 328.647 * * [simplify]: Extracting #9: cost 0 inf + 67224 328.658 * * [simplify]: Extracting #10: cost 0 inf + 67053 328.679 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 328.679 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 328.679 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 328.679 * * [simplify]: iters left: 6 (16 enodes) 328.688 * * [simplify]: iters left: 5 (65 enodes) 328.708 * * [simplify]: iters left: 4 (99 enodes) 328.729 * * [simplify]: iters left: 3 (138 enodes) 328.756 * * [simplify]: iters left: 2 (218 enodes) 328.816 * * [simplify]: iters left: 1 (399 enodes) 328.977 * * [simplify]: Extracting #0: cost 1 inf + 0 328.977 * * [simplify]: Extracting #1: cost 6 inf + 0 328.977 * * [simplify]: Extracting #2: cost 13 inf + 0 328.978 * * [simplify]: Extracting #3: cost 46 inf + 0 328.978 * * [simplify]: Extracting #4: cost 131 inf + 84 328.980 * * [simplify]: Extracting #5: cost 172 inf + 671 328.983 * * [simplify]: Extracting #6: cost 126 inf + 5587 328.991 * * [simplify]: Extracting #7: cost 63 inf + 18774 329.006 * * [simplify]: Extracting #8: cost 12 inf + 56826 329.017 * * [simplify]: Extracting #9: cost 0 inf + 67224 329.030 * * [simplify]: Extracting #10: cost 0 inf + 67053 329.041 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 329.041 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 329.041 * * * * [progress]: [ 367 / 667 ] simplifiying candidate # 329.041 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 1) 329.041 * * [simplify]: iters left: 6 (16 enodes) 329.046 * * [simplify]: iters left: 5 (63 enodes) 329.065 * * [simplify]: iters left: 4 (100 enodes) 329.097 * * [simplify]: iters left: 3 (143 enodes) 329.135 * * [simplify]: iters left: 2 (224 enodes) 329.182 * * [simplify]: iters left: 1 (400 enodes) 329.353 * * [simplify]: Extracting #0: cost 1 inf + 0 329.353 * * [simplify]: Extracting #1: cost 5 inf + 0 329.353 * * [simplify]: Extracting #2: cost 9 inf + 1 329.354 * * [simplify]: Extracting #3: cost 40 inf + 1 329.354 * * [simplify]: Extracting #4: cost 127 inf + 2 329.356 * * [simplify]: Extracting #5: cost 156 inf + 1472 329.360 * * [simplify]: Extracting #6: cost 100 inf + 11853 329.369 * * [simplify]: Extracting #7: cost 40 inf + 30455 329.388 * * [simplify]: Extracting #8: cost 3 inf + 61332 329.408 * * [simplify]: Extracting #9: cost 0 inf + 63873 329.429 * * [simplify]: Extracting #10: cost 0 inf + 63451 329.449 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 329.449 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 329.450 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 329.450 * * [simplify]: iters left: 6 (16 enodes) 329.458 * * [simplify]: iters left: 5 (65 enodes) 329.479 * * [simplify]: iters left: 4 (104 enodes) 329.514 * * [simplify]: iters left: 3 (144 enodes) 329.558 * * [simplify]: iters left: 2 (224 enodes) 329.611 * * [simplify]: iters left: 1 (402 enodes) 329.761 * * [simplify]: Extracting #0: cost 1 inf + 0 329.761 * * [simplify]: Extracting #1: cost 8 inf + 0 329.761 * * [simplify]: Extracting #2: cost 17 inf + 0 329.762 * * [simplify]: Extracting #3: cost 51 inf + 0 329.762 * * [simplify]: Extracting #4: cost 140 inf + 2 329.764 * * [simplify]: Extracting #5: cost 168 inf + 588 329.767 * * [simplify]: Extracting #6: cost 127 inf + 5330 329.774 * * [simplify]: Extracting #7: cost 78 inf + 14722 329.791 * * [simplify]: Extracting #8: cost 14 inf + 60776 329.802 * * [simplify]: Extracting #9: cost 0 inf + 74220 329.814 * * [simplify]: Extracting #10: cost 0 inf + 73536 329.837 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 329.837 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 329.837 * * * * [progress]: [ 368 / 667 ] simplifiying candidate # 329.838 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 329.838 * * [simplify]: iters left: 6 (19 enodes) 329.851 * * [simplify]: iters left: 5 (76 enodes) 329.871 * * [simplify]: iters left: 4 (110 enodes) 329.888 * * [simplify]: iters left: 3 (155 enodes) 329.918 * * [simplify]: iters left: 2 (253 enodes) 329.966 * * [simplify]: iters left: 1 (425 enodes) 330.156 * * [simplify]: Extracting #0: cost 1 inf + 0 330.156 * * [simplify]: Extracting #1: cost 7 inf + 0 330.157 * * [simplify]: Extracting #2: cost 13 inf + 1 330.157 * * [simplify]: Extracting #3: cost 43 inf + 1 330.158 * * [simplify]: Extracting #4: cost 131 inf + 2 330.159 * * [simplify]: Extracting #5: cost 176 inf + 345 330.163 * * [simplify]: Extracting #6: cost 115 inf + 9847 330.178 * * [simplify]: Extracting #7: cost 37 inf + 35767 330.209 * * [simplify]: Extracting #8: cost 3 inf + 59565 330.248 * * [simplify]: Extracting #9: cost 0 inf + 61951 330.282 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 330.282 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 330.282 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 330.282 * * [simplify]: iters left: 6 (16 enodes) 330.291 * * [simplify]: iters left: 5 (65 enodes) 330.312 * * [simplify]: iters left: 4 (104 enodes) 330.334 * * [simplify]: iters left: 3 (144 enodes) 330.358 * * [simplify]: iters left: 2 (224 enodes) 330.404 * * [simplify]: iters left: 1 (402 enodes) 330.964 * * [simplify]: Extracting #0: cost 1 inf + 0 330.964 * * [simplify]: Extracting #1: cost 8 inf + 0 330.964 * * [simplify]: Extracting #2: cost 17 inf + 0 330.964 * * [simplify]: Extracting #3: cost 51 inf + 0 330.965 * * [simplify]: Extracting #4: cost 140 inf + 2 330.966 * * [simplify]: Extracting #5: cost 167 inf + 789 330.970 * * [simplify]: Extracting #6: cost 127 inf + 5490 330.976 * * [simplify]: Extracting #7: cost 78 inf + 14922 330.992 * * [simplify]: Extracting #8: cost 14 inf + 61096 331.014 * * [simplify]: Extracting #9: cost 0 inf + 74540 331.037 * * [simplify]: Extracting #10: cost 0 inf + 73856 331.060 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 331.060 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 331.061 * * * * [progress]: [ 369 / 667 ] simplifiying candidate # 331.061 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 331.061 * * [simplify]: iters left: 6 (19 enodes) 331.074 * * [simplify]: iters left: 5 (75 enodes) 331.102 * * [simplify]: iters left: 4 (105 enodes) 331.124 * * [simplify]: iters left: 3 (150 enodes) 331.149 * * [simplify]: iters left: 2 (247 enodes) 331.208 * * [simplify]: iters left: 1 (426 enodes) 331.364 * * [simplify]: Extracting #0: cost 1 inf + 0 331.364 * * [simplify]: Extracting #1: cost 5 inf + 0 331.364 * * [simplify]: Extracting #2: cost 10 inf + 1 331.364 * * [simplify]: Extracting #3: cost 45 inf + 1 331.364 * * [simplify]: Extracting #4: cost 140 inf + 2 331.365 * * [simplify]: Extracting #5: cost 188 inf + 261 331.366 * * [simplify]: Extracting #6: cost 154 inf + 3592 331.369 * * [simplify]: Extracting #7: cost 72 inf + 18048 331.385 * * [simplify]: Extracting #8: cost 19 inf + 52692 331.407 * * [simplify]: Extracting #9: cost 0 inf + 71673 331.422 * * [simplify]: Extracting #10: cost 0 inf + 70152 331.434 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt (sqrt k)))) 331.434 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 331.434 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 331.435 * * [simplify]: iters left: 6 (17 enodes) 331.439 * * [simplify]: iters left: 5 (68 enodes) 331.458 * * [simplify]: iters left: 4 (107 enodes) 331.491 * * [simplify]: iters left: 3 (151 enodes) 331.517 * * [simplify]: iters left: 2 (232 enodes) 331.606 * * [simplify]: iters left: 1 (413 enodes) 331.784 * * [simplify]: Extracting #0: cost 1 inf + 0 331.784 * * [simplify]: Extracting #1: cost 8 inf + 0 331.784 * * [simplify]: Extracting #2: cost 18 inf + 0 331.784 * * [simplify]: Extracting #3: cost 48 inf + 0 331.785 * * [simplify]: Extracting #4: cost 135 inf + 2 331.786 * * [simplify]: Extracting #5: cost 166 inf + 1241 331.788 * * [simplify]: Extracting #6: cost 109 inf + 9979 331.792 * * [simplify]: Extracting #7: cost 51 inf + 26900 331.804 * * [simplify]: Extracting #8: cost 12 inf + 58010 331.818 * * [simplify]: Extracting #9: cost 0 inf + 68204 331.828 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 331.828 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 331.828 * * * * [progress]: [ 370 / 667 ] simplifiying candidate # 331.828 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 331.828 * * [simplify]: iters left: 6 (19 enodes) 331.836 * * [simplify]: iters left: 5 (75 enodes) 331.856 * * [simplify]: iters left: 4 (105 enodes) 331.886 * * [simplify]: iters left: 3 (150 enodes) 331.920 * * [simplify]: iters left: 2 (247 enodes) 331.977 * * [simplify]: iters left: 1 (426 enodes) 332.158 * * [simplify]: Extracting #0: cost 1 inf + 0 332.158 * * [simplify]: Extracting #1: cost 5 inf + 0 332.158 * * [simplify]: Extracting #2: cost 9 inf + 1 332.158 * * [simplify]: Extracting #3: cost 44 inf + 1 332.158 * * [simplify]: Extracting #4: cost 140 inf + 2 332.159 * * [simplify]: Extracting #5: cost 187 inf + 303 332.161 * * [simplify]: Extracting #6: cost 121 inf + 10844 332.168 * * [simplify]: Extracting #7: cost 26 inf + 49044 332.188 * * [simplify]: Extracting #8: cost 0 inf + 72825 332.200 * * [simplify]: Extracting #9: cost 0 inf + 70194 332.215 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (fabs (cbrt k)))) 332.215 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 332.215 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 332.215 * * [simplify]: iters left: 6 (18 enodes) 332.221 * * [simplify]: iters left: 5 (71 enodes) 332.238 * * [simplify]: iters left: 4 (110 enodes) 332.270 * * [simplify]: iters left: 3 (154 enodes) 332.317 * * [simplify]: iters left: 2 (235 enodes) 332.403 * * [simplify]: iters left: 1 (415 enodes) 332.544 * * [simplify]: Extracting #0: cost 1 inf + 0 332.545 * * [simplify]: Extracting #1: cost 8 inf + 0 332.545 * * [simplify]: Extracting #2: cost 18 inf + 0 332.545 * * [simplify]: Extracting #3: cost 49 inf + 0 332.545 * * [simplify]: Extracting #4: cost 130 inf + 365 332.546 * * [simplify]: Extracting #5: cost 158 inf + 2624 332.548 * * [simplify]: Extracting #6: cost 98 inf + 11954 332.553 * * [simplify]: Extracting #7: cost 39 inf + 31916 332.562 * * [simplify]: Extracting #8: cost 5 inf + 60833 332.572 * * [simplify]: Extracting #9: cost 0 inf + 66386 332.589 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 332.589 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 332.590 * * * * [progress]: [ 371 / 667 ] simplifiying candidate # 332.590 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 332.590 * * [simplify]: iters left: 6 (18 enodes) 332.603 * * [simplify]: iters left: 5 (71 enodes) 332.621 * * [simplify]: iters left: 4 (105 enodes) 332.637 * * [simplify]: iters left: 3 (149 enodes) 332.678 * * [simplify]: iters left: 2 (230 enodes) 332.751 * * [simplify]: iters left: 1 (410 enodes) 332.942 * * [simplify]: Extracting #0: cost 1 inf + 0 332.942 * * [simplify]: Extracting #1: cost 5 inf + 0 332.942 * * [simplify]: Extracting #2: cost 9 inf + 1 332.942 * * [simplify]: Extracting #3: cost 40 inf + 1 332.942 * * [simplify]: Extracting #4: cost 132 inf + 2 332.946 * * [simplify]: Extracting #5: cost 164 inf + 469 332.948 * * [simplify]: Extracting #6: cost 118 inf + 7259 332.953 * * [simplify]: Extracting #7: cost 33 inf + 37233 332.963 * * [simplify]: Extracting #8: cost 0 inf + 65000 332.974 * * [simplify]: Extracting #9: cost 0 inf + 64388 332.994 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 332.994 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 332.995 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 332.995 * * [simplify]: iters left: 6 (16 enodes) 333.003 * * [simplify]: iters left: 5 (65 enodes) 333.024 * * [simplify]: iters left: 4 (104 enodes) 333.045 * * [simplify]: iters left: 3 (144 enodes) 333.076 * * [simplify]: iters left: 2 (224 enodes) 333.126 * * [simplify]: iters left: 1 (402 enodes) 333.263 * * [simplify]: Extracting #0: cost 1 inf + 0 333.263 * * [simplify]: Extracting #1: cost 8 inf + 0 333.263 * * [simplify]: Extracting #2: cost 17 inf + 0 333.263 * * [simplify]: Extracting #3: cost 51 inf + 0 333.264 * * [simplify]: Extracting #4: cost 140 inf + 2 333.266 * * [simplify]: Extracting #5: cost 167 inf + 709 333.269 * * [simplify]: Extracting #6: cost 127 inf + 5330 333.275 * * [simplify]: Extracting #7: cost 78 inf + 14682 333.291 * * [simplify]: Extracting #8: cost 14 inf + 60776 333.313 * * [simplify]: Extracting #9: cost 0 inf + 74220 333.341 * * [simplify]: Extracting #10: cost 0 inf + 73536 333.363 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 333.363 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 333.364 * * * * [progress]: [ 372 / 667 ] simplifiying candidate # 333.364 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) 333.364 * * [simplify]: iters left: 6 (15 enodes) 333.372 * * [simplify]: iters left: 5 (62 enodes) 333.383 * * [simplify]: iters left: 4 (96 enodes) 333.396 * * [simplify]: iters left: 3 (134 enodes) 333.422 * * [simplify]: iters left: 2 (214 enodes) 333.473 * * [simplify]: iters left: 1 (393 enodes) 333.669 * * [simplify]: Extracting #0: cost 1 inf + 0 333.669 * * [simplify]: Extracting #1: cost 5 inf + 0 333.669 * * [simplify]: Extracting #2: cost 35 inf + 1 333.670 * * [simplify]: Extracting #3: cost 121 inf + 2 333.671 * * [simplify]: Extracting #4: cost 168 inf + 219 333.673 * * [simplify]: Extracting #5: cost 165 inf + 644 333.677 * * [simplify]: Extracting #6: cost 98 inf + 9097 333.688 * * [simplify]: Extracting #7: cost 31 inf + 36172 333.697 * * [simplify]: Extracting #8: cost 0 inf + 61766 333.707 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 333.707 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 333.707 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 333.707 * * [simplify]: iters left: 6 (15 enodes) 333.712 * * [simplify]: iters left: 5 (62 enodes) 333.726 * * [simplify]: iters left: 4 (96 enodes) 333.752 * * [simplify]: iters left: 3 (135 enodes) 333.776 * * [simplify]: iters left: 2 (215 enodes) 333.846 * * [simplify]: iters left: 1 (394 enodes) 334.016 * * [simplify]: Extracting #0: cost 1 inf + 0 334.016 * * [simplify]: Extracting #1: cost 6 inf + 0 334.016 * * [simplify]: Extracting #2: cost 13 inf + 0 334.016 * * [simplify]: Extracting #3: cost 42 inf + 42 334.017 * * [simplify]: Extracting #4: cost 125 inf + 246 334.018 * * [simplify]: Extracting #5: cost 161 inf + 1335 334.020 * * [simplify]: Extracting #6: cost 102 inf + 13449 334.025 * * [simplify]: Extracting #7: cost 47 inf + 26458 334.035 * * [simplify]: Extracting #8: cost 13 inf + 52493 334.054 * * [simplify]: Extracting #9: cost 0 inf + 63859 334.069 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 334.070 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 334.071 * * * * [progress]: [ 373 / 667 ] simplifiying candidate # 334.071 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 334.071 * * [simplify]: iters left: 6 (18 enodes) 334.079 * * [simplify]: iters left: 5 (71 enodes) 334.091 * * [simplify]: iters left: 4 (105 enodes) 334.122 * * [simplify]: iters left: 3 (149 enodes) 334.166 * * [simplify]: iters left: 2 (230 enodes) 334.226 * * [simplify]: iters left: 1 (410 enodes) 334.406 * * [simplify]: Extracting #0: cost 1 inf + 0 334.406 * * [simplify]: Extracting #1: cost 5 inf + 0 334.406 * * [simplify]: Extracting #2: cost 9 inf + 1 334.406 * * [simplify]: Extracting #3: cost 40 inf + 1 334.407 * * [simplify]: Extracting #4: cost 132 inf + 2 334.408 * * [simplify]: Extracting #5: cost 164 inf + 469 334.411 * * [simplify]: Extracting #6: cost 118 inf + 7259 334.423 * * [simplify]: Extracting #7: cost 33 inf + 37233 334.443 * * [simplify]: Extracting #8: cost 0 inf + 65000 334.464 * * [simplify]: Extracting #9: cost 0 inf + 64388 334.484 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 334.484 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 334.485 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 334.485 * * [simplify]: iters left: 6 (16 enodes) 334.490 * * [simplify]: iters left: 5 (65 enodes) 334.501 * * [simplify]: iters left: 4 (104 enodes) 334.523 * * [simplify]: iters left: 3 (144 enodes) 334.568 * * [simplify]: iters left: 2 (224 enodes) 334.648 * * [simplify]: iters left: 1 (402 enodes) 334.815 * * [simplify]: Extracting #0: cost 1 inf + 0 334.815 * * [simplify]: Extracting #1: cost 8 inf + 0 334.815 * * [simplify]: Extracting #2: cost 17 inf + 0 334.815 * * [simplify]: Extracting #3: cost 51 inf + 0 334.816 * * [simplify]: Extracting #4: cost 140 inf + 2 334.817 * * [simplify]: Extracting #5: cost 167 inf + 709 334.818 * * [simplify]: Extracting #6: cost 127 inf + 5330 334.825 * * [simplify]: Extracting #7: cost 78 inf + 14682 334.840 * * [simplify]: Extracting #8: cost 14 inf + 60776 334.867 * * [simplify]: Extracting #9: cost 0 inf + 74220 334.889 * * [simplify]: Extracting #10: cost 0 inf + 73536 334.905 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 334.905 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 334.906 * * * * [progress]: [ 374 / 667 ] simplifiying candidate # 334.906 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt 1)) 334.906 * * [simplify]: iters left: 6 (15 enodes) 334.913 * * [simplify]: iters left: 5 (62 enodes) 334.922 * * [simplify]: iters left: 4 (96 enodes) 334.940 * * [simplify]: iters left: 3 (134 enodes) 334.983 * * [simplify]: iters left: 2 (214 enodes) 335.022 * * [simplify]: iters left: 1 (393 enodes) 335.208 * * [simplify]: Extracting #0: cost 1 inf + 0 335.208 * * [simplify]: Extracting #1: cost 5 inf + 0 335.208 * * [simplify]: Extracting #2: cost 35 inf + 1 335.208 * * [simplify]: Extracting #3: cost 121 inf + 2 335.209 * * [simplify]: Extracting #4: cost 168 inf + 219 335.210 * * [simplify]: Extracting #5: cost 165 inf + 644 335.212 * * [simplify]: Extracting #6: cost 98 inf + 9097 335.221 * * [simplify]: Extracting #7: cost 31 inf + 36172 335.241 * * [simplify]: Extracting #8: cost 0 inf + 61766 335.260 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 335.260 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 335.261 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 335.261 * * [simplify]: iters left: 6 (15 enodes) 335.269 * * [simplify]: iters left: 5 (62 enodes) 335.289 * * [simplify]: iters left: 4 (96 enodes) 335.308 * * [simplify]: iters left: 3 (135 enodes) 335.331 * * [simplify]: iters left: 2 (215 enodes) 335.386 * * [simplify]: iters left: 1 (394 enodes) 335.559 * * [simplify]: Extracting #0: cost 1 inf + 0 335.559 * * [simplify]: Extracting #1: cost 6 inf + 0 335.559 * * [simplify]: Extracting #2: cost 13 inf + 0 335.559 * * [simplify]: Extracting #3: cost 42 inf + 42 335.560 * * [simplify]: Extracting #4: cost 125 inf + 246 335.560 * * [simplify]: Extracting #5: cost 161 inf + 1335 335.563 * * [simplify]: Extracting #6: cost 102 inf + 13449 335.568 * * [simplify]: Extracting #7: cost 47 inf + 26458 335.577 * * [simplify]: Extracting #8: cost 13 inf + 52493 335.601 * * [simplify]: Extracting #9: cost 0 inf + 63859 335.622 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 335.622 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 335.622 * * * * [progress]: [ 375 / 667 ] simplifiying candidate # 335.622 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 335.622 * * [simplify]: iters left: 6 (18 enodes) 335.635 * * [simplify]: iters left: 5 (71 enodes) 335.657 * * [simplify]: iters left: 4 (105 enodes) 335.688 * * [simplify]: iters left: 3 (149 enodes) 335.732 * * [simplify]: iters left: 2 (230 enodes) 335.816 * * [simplify]: iters left: 1 (410 enodes) 335.943 * * [simplify]: Extracting #0: cost 1 inf + 0 335.943 * * [simplify]: Extracting #1: cost 5 inf + 0 335.943 * * [simplify]: Extracting #2: cost 9 inf + 1 335.943 * * [simplify]: Extracting #3: cost 40 inf + 1 335.944 * * [simplify]: Extracting #4: cost 132 inf + 2 335.944 * * [simplify]: Extracting #5: cost 164 inf + 469 335.946 * * [simplify]: Extracting #6: cost 118 inf + 7259 335.952 * * [simplify]: Extracting #7: cost 33 inf + 37233 335.972 * * [simplify]: Extracting #8: cost 0 inf + 65000 335.992 * * [simplify]: Extracting #9: cost 0 inf + 64388 336.014 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 336.014 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 336.014 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 336.014 * * [simplify]: iters left: 6 (16 enodes) 336.023 * * [simplify]: iters left: 5 (65 enodes) 336.048 * * [simplify]: iters left: 4 (104 enodes) 336.078 * * [simplify]: iters left: 3 (144 enodes) 336.113 * * [simplify]: iters left: 2 (224 enodes) 336.182 * * [simplify]: iters left: 1 (402 enodes) 336.310 * * [simplify]: Extracting #0: cost 1 inf + 0 336.310 * * [simplify]: Extracting #1: cost 8 inf + 0 336.310 * * [simplify]: Extracting #2: cost 17 inf + 0 336.310 * * [simplify]: Extracting #3: cost 51 inf + 0 336.311 * * [simplify]: Extracting #4: cost 140 inf + 2 336.312 * * [simplify]: Extracting #5: cost 167 inf + 709 336.313 * * [simplify]: Extracting #6: cost 127 inf + 5330 336.323 * * [simplify]: Extracting #7: cost 78 inf + 14682 336.339 * * [simplify]: Extracting #8: cost 14 inf + 60776 336.360 * * [simplify]: Extracting #9: cost 0 inf + 74220 336.371 * * [simplify]: Extracting #10: cost 0 inf + 73536 336.383 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 336.383 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 336.383 * * * * [progress]: [ 376 / 667 ] simplifiying candidate # 336.383 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) 1) 336.383 * * [simplify]: iters left: 6 (15 enodes) 336.391 * * [simplify]: iters left: 5 (60 enodes) 336.410 * * [simplify]: iters left: 4 (94 enodes) 336.437 * * [simplify]: iters left: 3 (137 enodes) 336.475 * * [simplify]: iters left: 2 (222 enodes) 336.529 * * [simplify]: iters left: 1 (404 enodes) 336.734 * * [simplify]: Extracting #0: cost 1 inf + 0 336.734 * * [simplify]: Extracting #1: cost 5 inf + 0 336.734 * * [simplify]: Extracting #2: cost 36 inf + 1 336.735 * * [simplify]: Extracting #3: cost 127 inf + 2 336.736 * * [simplify]: Extracting #4: cost 171 inf + 177 336.738 * * [simplify]: Extracting #5: cost 147 inf + 4383 336.745 * * [simplify]: Extracting #6: cost 71 inf + 18360 336.758 * * [simplify]: Extracting #7: cost 19 inf + 51524 336.782 * * [simplify]: Extracting #8: cost 0 inf + 67091 336.804 * * [simplify]: Extracting #9: cost 0 inf + 66761 336.817 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 336.818 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 336.818 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 336.818 * * [simplify]: iters left: 6 (15 enodes) 336.822 * * [simplify]: iters left: 5 (62 enodes) 336.833 * * [simplify]: iters left: 4 (96 enodes) 336.856 * * [simplify]: iters left: 3 (135 enodes) 336.899 * * [simplify]: iters left: 2 (215 enodes) 336.969 * * [simplify]: iters left: 1 (394 enodes) 337.121 * * [simplify]: Extracting #0: cost 1 inf + 0 337.121 * * [simplify]: Extracting #1: cost 6 inf + 0 337.121 * * [simplify]: Extracting #2: cost 13 inf + 0 337.121 * * [simplify]: Extracting #3: cost 42 inf + 42 337.122 * * [simplify]: Extracting #4: cost 125 inf + 246 337.123 * * [simplify]: Extracting #5: cost 161 inf + 1335 337.128 * * [simplify]: Extracting #6: cost 102 inf + 13449 337.136 * * [simplify]: Extracting #7: cost 47 inf + 26458 337.144 * * [simplify]: Extracting #8: cost 13 inf + 52493 337.154 * * [simplify]: Extracting #9: cost 0 inf + 63859 337.164 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 337.165 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 337.165 * * * * [progress]: [ 377 / 667 ] simplifiying candidate # 337.165 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 337.165 * * [simplify]: iters left: 6 (18 enodes) 337.170 * * [simplify]: iters left: 5 (73 enodes) 337.186 * * [simplify]: iters left: 4 (117 enodes) 337.213 * * [simplify]: iters left: 3 (164 enodes) 337.248 * * [simplify]: iters left: 2 (247 enodes) 337.310 * * [simplify]: iters left: 1 (429 enodes) 337.461 * * [simplify]: Extracting #0: cost 1 inf + 0 337.461 * * [simplify]: Extracting #1: cost 10 inf + 0 337.462 * * [simplify]: Extracting #2: cost 23 inf + 0 337.462 * * [simplify]: Extracting #3: cost 55 inf + 0 337.463 * * [simplify]: Extracting #4: cost 142 inf + 1 337.464 * * [simplify]: Extracting #5: cost 175 inf + 428 337.468 * * [simplify]: Extracting #6: cost 119 inf + 6975 337.479 * * [simplify]: Extracting #7: cost 36 inf + 41676 337.501 * * [simplify]: Extracting #8: cost 1 inf + 72052 337.523 * * [simplify]: Extracting #9: cost 0 inf + 72118 337.545 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 337.545 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 337.546 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 337.546 * * [simplify]: iters left: 6 (17 enodes) 337.553 * * [simplify]: iters left: 5 (68 enodes) 337.565 * * [simplify]: iters left: 4 (107 enodes) 337.588 * * [simplify]: iters left: 3 (151 enodes) 337.622 * * [simplify]: iters left: 2 (232 enodes) 337.689 * * [simplify]: iters left: 1 (413 enodes) 337.864 * * [simplify]: Extracting #0: cost 1 inf + 0 337.864 * * [simplify]: Extracting #1: cost 8 inf + 0 337.864 * * [simplify]: Extracting #2: cost 17 inf + 0 337.864 * * [simplify]: Extracting #3: cost 46 inf + 0 337.865 * * [simplify]: Extracting #4: cost 136 inf + 1 337.865 * * [simplify]: Extracting #5: cost 176 inf + 385 337.867 * * [simplify]: Extracting #6: cost 122 inf + 8012 337.871 * * [simplify]: Extracting #7: cost 58 inf + 21732 337.885 * * [simplify]: Extracting #8: cost 15 inf + 55794 337.906 * * [simplify]: Extracting #9: cost 0 inf + 68246 337.917 * * [simplify]: Extracting #10: cost 0 inf + 67651 337.928 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 337.928 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 337.928 * * * * [progress]: [ 378 / 667 ] simplifiying candidate # 337.928 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 337.928 * * [simplify]: iters left: 6 (19 enodes) 337.936 * * [simplify]: iters left: 5 (75 enodes) 337.959 * * [simplify]: iters left: 4 (110 enodes) 337.992 * * [simplify]: iters left: 3 (152 enodes) 338.045 * * [simplify]: iters left: 2 (248 enodes) 338.109 * * [simplify]: iters left: 1 (420 enodes) 338.324 * * [simplify]: Extracting #0: cost 1 inf + 0 338.324 * * [simplify]: Extracting #1: cost 8 inf + 0 338.324 * * [simplify]: Extracting #2: cost 19 inf + 0 338.324 * * [simplify]: Extracting #3: cost 55 inf + 0 338.324 * * [simplify]: Extracting #4: cost 147 inf + 1 338.325 * * [simplify]: Extracting #5: cost 193 inf + 303 338.327 * * [simplify]: Extracting #6: cost 121 inf + 12033 338.333 * * [simplify]: Extracting #7: cost 42 inf + 33950 338.345 * * [simplify]: Extracting #8: cost 2 inf + 64305 338.359 * * [simplify]: Extracting #9: cost 0 inf + 60968 338.377 * * [simplify]: Extracting #10: cost 0 inf + 60142 338.404 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 338.404 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 338.404 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 338.404 * * [simplify]: iters left: 6 (18 enodes) 338.409 * * [simplify]: iters left: 5 (71 enodes) 338.421 * * [simplify]: iters left: 4 (110 enodes) 338.448 * * [simplify]: iters left: 3 (154 enodes) 338.498 * * [simplify]: iters left: 2 (235 enodes) 338.581 * * [simplify]: iters left: 1 (415 enodes) 338.776 * * [simplify]: Extracting #0: cost 1 inf + 0 338.776 * * [simplify]: Extracting #1: cost 8 inf + 0 338.776 * * [simplify]: Extracting #2: cost 18 inf + 0 338.777 * * [simplify]: Extracting #3: cost 48 inf + 0 338.778 * * [simplify]: Extracting #4: cost 134 inf + 1 338.779 * * [simplify]: Extracting #5: cost 175 inf + 427 338.782 * * [simplify]: Extracting #6: cost 116 inf + 9464 338.792 * * [simplify]: Extracting #7: cost 41 inf + 31219 338.810 * * [simplify]: Extracting #8: cost 5 inf + 60993 338.831 * * [simplify]: Extracting #9: cost 0 inf + 66546 338.850 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 338.850 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 338.850 * * * * [progress]: [ 379 / 667 ] simplifiying candidate # 338.851 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 338.851 * * [simplify]: iters left: 6 (20 enodes) 338.865 * * [simplify]: iters left: 5 (78 enodes) 338.889 * * [simplify]: iters left: 4 (117 enodes) 338.923 * * [simplify]: iters left: 3 (157 enodes) 338.971 * * [simplify]: iters left: 2 (237 enodes) 339.024 * * [simplify]: iters left: 1 (422 enodes) 339.194 * * [simplify]: Extracting #0: cost 1 inf + 0 339.194 * * [simplify]: Extracting #1: cost 8 inf + 0 339.194 * * [simplify]: Extracting #2: cost 18 inf + 0 339.194 * * [simplify]: Extracting #3: cost 57 inf + 0 339.195 * * [simplify]: Extracting #4: cost 156 inf + 1 339.197 * * [simplify]: Extracting #5: cost 190 inf + 386 339.201 * * [simplify]: Extracting #6: cost 122 inf + 10573 339.211 * * [simplify]: Extracting #7: cost 43 inf + 38046 339.233 * * [simplify]: Extracting #8: cost 2 inf + 75047 339.255 * * [simplify]: Extracting #9: cost 0 inf + 76491 339.277 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 339.278 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 339.278 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 339.278 * * [simplify]: iters left: 6 (19 enodes) 339.287 * * [simplify]: iters left: 5 (74 enodes) 339.314 * * [simplify]: iters left: 4 (109 enodes) 339.334 * * [simplify]: iters left: 3 (154 enodes) 339.366 * * [simplify]: iters left: 2 (252 enodes) 339.448 * * [simplify]: iters left: 1 (418 enodes) 339.581 * * [simplify]: Extracting #0: cost 1 inf + 0 339.581 * * [simplify]: Extracting #1: cost 8 inf + 0 339.581 * * [simplify]: Extracting #2: cost 18 inf + 0 339.582 * * [simplify]: Extracting #3: cost 51 inf + 0 339.582 * * [simplify]: Extracting #4: cost 143 inf + 1 339.584 * * [simplify]: Extracting #5: cost 191 inf + 970 339.588 * * [simplify]: Extracting #6: cost 120 inf + 10262 339.603 * * [simplify]: Extracting #7: cost 48 inf + 31454 339.623 * * [simplify]: Extracting #8: cost 9 inf + 62874 339.636 * * [simplify]: Extracting #9: cost 0 inf + 68359 339.647 * * [simplify]: Extracting #10: cost 0 inf + 68201 339.659 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 339.659 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 339.659 * * * * [progress]: [ 380 / 667 ] simplifiying candidate # 339.659 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 339.659 * * [simplify]: iters left: 6 (16 enodes) 339.665 * * [simplify]: iters left: 5 (65 enodes) 339.686 * * [simplify]: iters left: 4 (99 enodes) 339.708 * * [simplify]: iters left: 3 (138 enodes) 339.733 * * [simplify]: iters left: 2 (218 enodes) 339.806 * * [simplify]: iters left: 1 (399 enodes) 339.966 * * [simplify]: Extracting #0: cost 1 inf + 0 339.966 * * [simplify]: Extracting #1: cost 6 inf + 0 339.966 * * [simplify]: Extracting #2: cost 13 inf + 0 339.966 * * [simplify]: Extracting #3: cost 46 inf + 0 339.967 * * [simplify]: Extracting #4: cost 131 inf + 84 339.968 * * [simplify]: Extracting #5: cost 172 inf + 671 339.969 * * [simplify]: Extracting #6: cost 126 inf + 5587 339.973 * * [simplify]: Extracting #7: cost 63 inf + 18774 339.981 * * [simplify]: Extracting #8: cost 12 inf + 56826 339.991 * * [simplify]: Extracting #9: cost 0 inf + 67224 340.001 * * [simplify]: Extracting #10: cost 0 inf + 67053 340.019 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 340.019 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 340.019 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 340.019 * * [simplify]: iters left: 6 (16 enodes) 340.028 * * [simplify]: iters left: 5 (65 enodes) 340.049 * * [simplify]: iters left: 4 (99 enodes) 340.079 * * [simplify]: iters left: 3 (138 enodes) 340.123 * * [simplify]: iters left: 2 (218 enodes) 340.182 * * [simplify]: iters left: 1 (399 enodes) 340.392 * * [simplify]: Extracting #0: cost 1 inf + 0 340.392 * * [simplify]: Extracting #1: cost 6 inf + 0 340.392 * * [simplify]: Extracting #2: cost 13 inf + 0 340.392 * * [simplify]: Extracting #3: cost 46 inf + 0 340.393 * * [simplify]: Extracting #4: cost 131 inf + 84 340.393 * * [simplify]: Extracting #5: cost 172 inf + 671 340.395 * * [simplify]: Extracting #6: cost 126 inf + 5587 340.398 * * [simplify]: Extracting #7: cost 63 inf + 18774 340.406 * * [simplify]: Extracting #8: cost 12 inf + 56826 340.417 * * [simplify]: Extracting #9: cost 0 inf + 67224 340.435 * * [simplify]: Extracting #10: cost 0 inf + 67053 340.456 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 340.456 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 340.456 * * * * [progress]: [ 381 / 667 ] simplifiying candidate # 340.457 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 340.457 * * [simplify]: iters left: 6 (18 enodes) 340.467 * * [simplify]: iters left: 5 (71 enodes) 340.488 * * [simplify]: iters left: 4 (107 enodes) 340.515 * * [simplify]: iters left: 3 (154 enodes) 340.546 * * [simplify]: iters left: 2 (236 enodes) 340.603 * * [simplify]: iters left: 1 (409 enodes) 340.784 * * [simplify]: Extracting #0: cost 1 inf + 0 340.784 * * [simplify]: Extracting #1: cost 5 inf + 0 340.784 * * [simplify]: Extracting #2: cost 9 inf + 1 340.785 * * [simplify]: Extracting #3: cost 40 inf + 1 340.786 * * [simplify]: Extracting #4: cost 124 inf + 2 340.787 * * [simplify]: Extracting #5: cost 166 inf + 466 340.790 * * [simplify]: Extracting #6: cost 119 inf + 6646 340.797 * * [simplify]: Extracting #7: cost 59 inf + 17287 340.809 * * [simplify]: Extracting #8: cost 29 inf + 36052 340.829 * * [simplify]: Extracting #9: cost 1 inf + 59112 340.846 * * [simplify]: Extracting #10: cost 0 inf + 59987 340.857 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 340.857 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 340.857 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 340.857 * * [simplify]: iters left: 6 (16 enodes) 340.861 * * [simplify]: iters left: 5 (65 enodes) 340.873 * * [simplify]: iters left: 4 (104 enodes) 340.901 * * [simplify]: iters left: 3 (144 enodes) 340.934 * * [simplify]: iters left: 2 (224 enodes) 340.978 * * [simplify]: iters left: 1 (402 enodes) 341.132 * * [simplify]: Extracting #0: cost 1 inf + 0 341.132 * * [simplify]: Extracting #1: cost 8 inf + 0 341.132 * * [simplify]: Extracting #2: cost 17 inf + 0 341.132 * * [simplify]: Extracting #3: cost 51 inf + 0 341.133 * * [simplify]: Extracting #4: cost 140 inf + 2 341.134 * * [simplify]: Extracting #5: cost 168 inf + 588 341.138 * * [simplify]: Extracting #6: cost 127 inf + 5330 341.144 * * [simplify]: Extracting #7: cost 78 inf + 14722 341.157 * * [simplify]: Extracting #8: cost 14 inf + 60776 341.168 * * [simplify]: Extracting #9: cost 0 inf + 74220 341.180 * * [simplify]: Extracting #10: cost 0 inf + 73536 341.195 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 341.195 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 341.195 * * * * [progress]: [ 382 / 667 ] simplifiying candidate # 341.195 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 341.195 * * [simplify]: iters left: 6 (16 enodes) 341.203 * * [simplify]: iters left: 5 (65 enodes) 341.214 * * [simplify]: iters left: 4 (99 enodes) 341.234 * * [simplify]: iters left: 3 (138 enodes) 341.277 * * [simplify]: iters left: 2 (218 enodes) 341.331 * * [simplify]: iters left: 1 (399 enodes) 341.486 * * [simplify]: Extracting #0: cost 1 inf + 0 341.486 * * [simplify]: Extracting #1: cost 6 inf + 0 341.486 * * [simplify]: Extracting #2: cost 13 inf + 0 341.486 * * [simplify]: Extracting #3: cost 46 inf + 0 341.487 * * [simplify]: Extracting #4: cost 131 inf + 84 341.488 * * [simplify]: Extracting #5: cost 172 inf + 671 341.492 * * [simplify]: Extracting #6: cost 126 inf + 5587 341.502 * * [simplify]: Extracting #7: cost 63 inf + 18774 341.510 * * [simplify]: Extracting #8: cost 12 inf + 56826 341.521 * * [simplify]: Extracting #9: cost 0 inf + 67224 341.531 * * [simplify]: Extracting #10: cost 0 inf + 67053 341.548 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 341.548 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 341.549 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 341.549 * * [simplify]: iters left: 6 (16 enodes) 341.557 * * [simplify]: iters left: 5 (65 enodes) 341.575 * * [simplify]: iters left: 4 (99 enodes) 341.590 * * [simplify]: iters left: 3 (138 enodes) 341.625 * * [simplify]: iters left: 2 (218 enodes) 341.704 * * [simplify]: iters left: 1 (399 enodes) 341.912 * * [simplify]: Extracting #0: cost 1 inf + 0 341.912 * * [simplify]: Extracting #1: cost 6 inf + 0 341.912 * * [simplify]: Extracting #2: cost 13 inf + 0 341.912 * * [simplify]: Extracting #3: cost 46 inf + 0 341.913 * * [simplify]: Extracting #4: cost 131 inf + 84 341.914 * * [simplify]: Extracting #5: cost 172 inf + 671 341.917 * * [simplify]: Extracting #6: cost 126 inf + 5587 341.924 * * [simplify]: Extracting #7: cost 63 inf + 18774 341.939 * * [simplify]: Extracting #8: cost 12 inf + 56826 341.953 * * [simplify]: Extracting #9: cost 0 inf + 67224 341.964 * * [simplify]: Extracting #10: cost 0 inf + 67053 341.977 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 341.977 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 341.978 * * * * [progress]: [ 383 / 667 ] simplifiying candidate # 341.978 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 341.978 * * [simplify]: iters left: 6 (17 enodes) 341.987 * * [simplify]: iters left: 5 (68 enodes) 342.008 * * [simplify]: iters left: 4 (104 enodes) 342.025 * * [simplify]: iters left: 3 (151 enodes) 342.057 * * [simplify]: iters left: 2 (233 enodes) 342.107 * * [simplify]: iters left: 1 (413 enodes) 342.298 * * [simplify]: Extracting #0: cost 1 inf + 0 342.298 * * [simplify]: Extracting #1: cost 5 inf + 0 342.298 * * [simplify]: Extracting #2: cost 9 inf + 1 342.299 * * [simplify]: Extracting #3: cost 39 inf + 1 342.299 * * [simplify]: Extracting #4: cost 124 inf + 2 342.301 * * [simplify]: Extracting #5: cost 166 inf + 469 342.305 * * [simplify]: Extracting #6: cost 100 inf + 10555 342.311 * * [simplify]: Extracting #7: cost 36 inf + 31929 342.320 * * [simplify]: Extracting #8: cost 2 inf + 59817 342.330 * * [simplify]: Extracting #9: cost 0 inf + 60119 342.347 * * [simplify]: Extracting #10: cost 0 inf + 59947 342.367 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 342.367 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 342.368 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 342.368 * * [simplify]: iters left: 6 (16 enodes) 342.374 * * [simplify]: iters left: 5 (65 enodes) 342.388 * * [simplify]: iters left: 4 (104 enodes) 342.407 * * [simplify]: iters left: 3 (144 enodes) 342.452 * * [simplify]: iters left: 2 (224 enodes) 342.535 * * [simplify]: iters left: 1 (402 enodes) 342.721 * * [simplify]: Extracting #0: cost 1 inf + 0 342.721 * * [simplify]: Extracting #1: cost 8 inf + 0 342.721 * * [simplify]: Extracting #2: cost 17 inf + 0 342.721 * * [simplify]: Extracting #3: cost 51 inf + 0 342.722 * * [simplify]: Extracting #4: cost 140 inf + 2 342.723 * * [simplify]: Extracting #5: cost 168 inf + 588 342.726 * * [simplify]: Extracting #6: cost 127 inf + 5330 342.736 * * [simplify]: Extracting #7: cost 78 inf + 14722 342.753 * * [simplify]: Extracting #8: cost 14 inf + 60776 342.765 * * [simplify]: Extracting #9: cost 0 inf + 74220 342.776 * * [simplify]: Extracting #10: cost 0 inf + 73536 342.793 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 342.793 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 342.794 * * * * [progress]: [ 384 / 667 ] simplifiying candidate # 342.794 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 342.794 * * [simplify]: iters left: 6 (16 enodes) 342.802 * * [simplify]: iters left: 5 (65 enodes) 342.815 * * [simplify]: iters left: 4 (99 enodes) 342.830 * * [simplify]: iters left: 3 (138 enodes) 342.870 * * [simplify]: iters left: 2 (218 enodes) 342.917 * * [simplify]: iters left: 1 (399 enodes) 343.072 * * [simplify]: Extracting #0: cost 1 inf + 0 343.072 * * [simplify]: Extracting #1: cost 6 inf + 0 343.072 * * [simplify]: Extracting #2: cost 13 inf + 0 343.072 * * [simplify]: Extracting #3: cost 46 inf + 0 343.073 * * [simplify]: Extracting #4: cost 131 inf + 84 343.075 * * [simplify]: Extracting #5: cost 172 inf + 671 343.078 * * [simplify]: Extracting #6: cost 126 inf + 5587 343.086 * * [simplify]: Extracting #7: cost 63 inf + 18774 343.101 * * [simplify]: Extracting #8: cost 12 inf + 56826 343.121 * * [simplify]: Extracting #9: cost 0 inf + 67224 343.142 * * [simplify]: Extracting #10: cost 0 inf + 67053 343.162 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 343.163 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 343.163 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 343.163 * * [simplify]: iters left: 6 (16 enodes) 343.168 * * [simplify]: iters left: 5 (65 enodes) 343.179 * * [simplify]: iters left: 4 (99 enodes) 343.208 * * [simplify]: iters left: 3 (138 enodes) 343.231 * * [simplify]: iters left: 2 (218 enodes) 343.288 * * [simplify]: iters left: 1 (399 enodes) 343.454 * * [simplify]: Extracting #0: cost 1 inf + 0 343.454 * * [simplify]: Extracting #1: cost 6 inf + 0 343.454 * * [simplify]: Extracting #2: cost 13 inf + 0 343.454 * * [simplify]: Extracting #3: cost 46 inf + 0 343.455 * * [simplify]: Extracting #4: cost 131 inf + 84 343.455 * * [simplify]: Extracting #5: cost 172 inf + 671 343.457 * * [simplify]: Extracting #6: cost 126 inf + 5587 343.461 * * [simplify]: Extracting #7: cost 63 inf + 18774 343.475 * * [simplify]: Extracting #8: cost 12 inf + 56826 343.489 * * [simplify]: Extracting #9: cost 0 inf + 67224 343.499 * * [simplify]: Extracting #10: cost 0 inf + 67053 343.509 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 343.509 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 343.509 * * * * [progress]: [ 385 / 667 ] simplifiying candidate # 343.510 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 1) 343.510 * * [simplify]: iters left: 6 (16 enodes) 343.514 * * [simplify]: iters left: 5 (63 enodes) 343.527 * * [simplify]: iters left: 4 (100 enodes) 343.546 * * [simplify]: iters left: 3 (143 enodes) 343.580 * * [simplify]: iters left: 2 (224 enodes) 343.633 * * [simplify]: iters left: 1 (400 enodes) 343.767 * * [simplify]: Extracting #0: cost 1 inf + 0 343.767 * * [simplify]: Extracting #1: cost 5 inf + 0 343.767 * * [simplify]: Extracting #2: cost 9 inf + 1 343.767 * * [simplify]: Extracting #3: cost 40 inf + 1 343.767 * * [simplify]: Extracting #4: cost 127 inf + 2 343.768 * * [simplify]: Extracting #5: cost 156 inf + 1472 343.770 * * [simplify]: Extracting #6: cost 100 inf + 11853 343.780 * * [simplify]: Extracting #7: cost 40 inf + 30455 343.799 * * [simplify]: Extracting #8: cost 3 inf + 61332 343.811 * * [simplify]: Extracting #9: cost 0 inf + 63873 343.824 * * [simplify]: Extracting #10: cost 0 inf + 63451 343.837 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 343.837 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 343.838 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 343.838 * * [simplify]: iters left: 6 (16 enodes) 343.843 * * [simplify]: iters left: 5 (65 enodes) 343.853 * * [simplify]: iters left: 4 (104 enodes) 343.873 * * [simplify]: iters left: 3 (144 enodes) 343.918 * * [simplify]: iters left: 2 (224 enodes) 343.976 * * [simplify]: iters left: 1 (402 enodes) 344.161 * * [simplify]: Extracting #0: cost 1 inf + 0 344.161 * * [simplify]: Extracting #1: cost 8 inf + 0 344.161 * * [simplify]: Extracting #2: cost 17 inf + 0 344.161 * * [simplify]: Extracting #3: cost 51 inf + 0 344.161 * * [simplify]: Extracting #4: cost 140 inf + 2 344.162 * * [simplify]: Extracting #5: cost 168 inf + 588 344.164 * * [simplify]: Extracting #6: cost 127 inf + 5330 344.167 * * [simplify]: Extracting #7: cost 78 inf + 14722 344.175 * * [simplify]: Extracting #8: cost 14 inf + 60776 344.186 * * [simplify]: Extracting #9: cost 0 inf + 74220 344.205 * * [simplify]: Extracting #10: cost 0 inf + 73536 344.228 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 344.228 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 344.228 * * * * [progress]: [ 386 / 667 ] simplifiying candidate # 344.228 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 344.229 * * [simplify]: iters left: 6 (18 enodes) 344.239 * * [simplify]: iters left: 5 (73 enodes) 344.262 * * [simplify]: iters left: 4 (111 enodes) 344.280 * * [simplify]: iters left: 3 (154 enodes) 344.305 * * [simplify]: iters left: 2 (236 enodes) 344.367 * * [simplify]: iters left: 1 (421 enodes) 344.525 * * [simplify]: Extracting #0: cost 1 inf + 0 344.525 * * [simplify]: Extracting #1: cost 7 inf + 0 344.525 * * [simplify]: Extracting #2: cost 13 inf + 1 344.525 * * [simplify]: Extracting #3: cost 45 inf + 1 344.525 * * [simplify]: Extracting #4: cost 131 inf + 2 344.526 * * [simplify]: Extracting #5: cost 174 inf + 468 344.528 * * [simplify]: Extracting #6: cost 114 inf + 9526 344.533 * * [simplify]: Extracting #7: cost 39 inf + 33163 344.545 * * [simplify]: Extracting #8: cost 0 inf + 69326 344.562 * * [simplify]: Extracting #9: cost 0 inf + 66659 344.584 * * [simplify]: Extracting #10: cost 0 inf + 65405 344.606 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 344.606 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 344.606 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 344.606 * * [simplify]: iters left: 6 (16 enodes) 344.615 * * [simplify]: iters left: 5 (65 enodes) 344.639 * * [simplify]: iters left: 4 (104 enodes) 344.670 * * [simplify]: iters left: 3 (144 enodes) 344.705 * * [simplify]: iters left: 2 (224 enodes) 344.764 * * [simplify]: iters left: 1 (402 enodes) 344.956 * * [simplify]: Extracting #0: cost 1 inf + 0 344.956 * * [simplify]: Extracting #1: cost 8 inf + 0 344.956 * * [simplify]: Extracting #2: cost 17 inf + 0 344.956 * * [simplify]: Extracting #3: cost 51 inf + 0 344.957 * * [simplify]: Extracting #4: cost 140 inf + 2 344.958 * * [simplify]: Extracting #5: cost 167 inf + 789 344.959 * * [simplify]: Extracting #6: cost 127 inf + 5490 344.966 * * [simplify]: Extracting #7: cost 78 inf + 14922 344.974 * * [simplify]: Extracting #8: cost 14 inf + 61096 344.985 * * [simplify]: Extracting #9: cost 0 inf + 74540 344.997 * * [simplify]: Extracting #10: cost 0 inf + 73856 345.008 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 345.009 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 345.009 * * * * [progress]: [ 387 / 667 ] simplifiying candidate # 345.009 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 345.009 * * [simplify]: iters left: 6 (18 enodes) 345.015 * * [simplify]: iters left: 5 (72 enodes) 345.027 * * [simplify]: iters left: 4 (102 enodes) 345.058 * * [simplify]: iters left: 3 (150 enodes) 345.110 * * [simplify]: iters left: 2 (252 enodes) 345.195 * * [simplify]: iters left: 1 (438 enodes) 345.370 * * [simplify]: Extracting #0: cost 1 inf + 0 345.370 * * [simplify]: Extracting #1: cost 5 inf + 0 345.370 * * [simplify]: Extracting #2: cost 10 inf + 1 345.370 * * [simplify]: Extracting #3: cost 43 inf + 1 345.371 * * [simplify]: Extracting #4: cost 131 inf + 2 345.372 * * [simplify]: Extracting #5: cost 187 inf + 262 345.373 * * [simplify]: Extracting #6: cost 122 inf + 8718 345.380 * * [simplify]: Extracting #7: cost 27 inf + 45210 345.394 * * [simplify]: Extracting #8: cost 0 inf + 66610 345.419 * * [simplify]: Extracting #9: cost 0 inf + 66136 345.439 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) 345.439 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 345.440 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 345.440 * * [simplify]: iters left: 6 (17 enodes) 345.449 * * [simplify]: iters left: 5 (68 enodes) 345.470 * * [simplify]: iters left: 4 (107 enodes) 345.487 * * [simplify]: iters left: 3 (151 enodes) 345.525 * * [simplify]: iters left: 2 (232 enodes) 345.582 * * [simplify]: iters left: 1 (413 enodes) 345.773 * * [simplify]: Extracting #0: cost 1 inf + 0 345.773 * * [simplify]: Extracting #1: cost 8 inf + 0 345.773 * * [simplify]: Extracting #2: cost 18 inf + 0 345.773 * * [simplify]: Extracting #3: cost 48 inf + 0 345.774 * * [simplify]: Extracting #4: cost 135 inf + 2 345.776 * * [simplify]: Extracting #5: cost 166 inf + 1241 345.780 * * [simplify]: Extracting #6: cost 109 inf + 9979 345.788 * * [simplify]: Extracting #7: cost 51 inf + 26900 345.806 * * [simplify]: Extracting #8: cost 12 inf + 58010 345.826 * * [simplify]: Extracting #9: cost 0 inf + 68204 345.845 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 345.846 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 345.846 * * * * [progress]: [ 388 / 667 ] simplifiying candidate # 345.846 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 345.846 * * [simplify]: iters left: 6 (18 enodes) 345.858 * * [simplify]: iters left: 5 (72 enodes) 345.876 * * [simplify]: iters left: 4 (102 enodes) 345.893 * * [simplify]: iters left: 3 (150 enodes) 345.943 * * [simplify]: iters left: 2 (252 enodes) 346.007 * * [simplify]: iters left: 1 (438 enodes) 346.154 * * [simplify]: Extracting #0: cost 1 inf + 0 346.154 * * [simplify]: Extracting #1: cost 5 inf + 0 346.154 * * [simplify]: Extracting #2: cost 9 inf + 1 346.154 * * [simplify]: Extracting #3: cost 42 inf + 1 346.155 * * [simplify]: Extracting #4: cost 131 inf + 2 346.156 * * [simplify]: Extracting #5: cost 187 inf + 262 346.160 * * [simplify]: Extracting #6: cost 118 inf + 9816 346.174 * * [simplify]: Extracting #7: cost 26 inf + 45279 346.184 * * [simplify]: Extracting #8: cost 0 inf + 66650 346.195 * * [simplify]: Extracting #9: cost 0 inf + 66136 346.205 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k)))) 346.205 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 346.206 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 346.206 * * [simplify]: iters left: 6 (18 enodes) 346.214 * * [simplify]: iters left: 5 (71 enodes) 346.236 * * [simplify]: iters left: 4 (110 enodes) 346.256 * * [simplify]: iters left: 3 (154 enodes) 346.294 * * [simplify]: iters left: 2 (235 enodes) 346.375 * * [simplify]: iters left: 1 (415 enodes) 346.533 * * [simplify]: Extracting #0: cost 1 inf + 0 346.533 * * [simplify]: Extracting #1: cost 8 inf + 0 346.533 * * [simplify]: Extracting #2: cost 18 inf + 0 346.534 * * [simplify]: Extracting #3: cost 49 inf + 0 346.534 * * [simplify]: Extracting #4: cost 130 inf + 365 346.536 * * [simplify]: Extracting #5: cost 158 inf + 2624 346.541 * * [simplify]: Extracting #6: cost 98 inf + 11954 346.551 * * [simplify]: Extracting #7: cost 39 inf + 31916 346.566 * * [simplify]: Extracting #8: cost 5 inf + 60833 346.576 * * [simplify]: Extracting #9: cost 0 inf + 66386 346.585 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 346.585 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 346.586 * * * * [progress]: [ 389 / 667 ] simplifiying candidate # 346.586 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 346.586 * * [simplify]: iters left: 6 (17 enodes) 346.591 * * [simplify]: iters left: 5 (68 enodes) 346.603 * * [simplify]: iters left: 4 (102 enodes) 346.620 * * [simplify]: iters left: 3 (149 enodes) 346.649 * * [simplify]: iters left: 2 (235 enodes) 346.691 * * [simplify]: iters left: 1 (414 enodes) 346.849 * * [simplify]: Extracting #0: cost 1 inf + 0 346.849 * * [simplify]: Extracting #1: cost 5 inf + 0 346.849 * * [simplify]: Extracting #2: cost 9 inf + 1 346.849 * * [simplify]: Extracting #3: cost 43 inf + 1 346.850 * * [simplify]: Extracting #4: cost 133 inf + 2 346.850 * * [simplify]: Extracting #5: cost 172 inf + 511 346.853 * * [simplify]: Extracting #6: cost 101 inf + 14127 346.860 * * [simplify]: Extracting #7: cost 24 inf + 50255 346.872 * * [simplify]: Extracting #8: cost 0 inf + 67683 346.883 * * [simplify]: Extracting #9: cost 0 inf + 67428 346.897 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 346.897 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 346.898 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 346.898 * * [simplify]: iters left: 6 (16 enodes) 346.902 * * [simplify]: iters left: 5 (65 enodes) 346.914 * * [simplify]: iters left: 4 (104 enodes) 346.937 * * [simplify]: iters left: 3 (144 enodes) 346.982 * * [simplify]: iters left: 2 (224 enodes) 347.039 * * [simplify]: iters left: 1 (402 enodes) 347.190 * * [simplify]: Extracting #0: cost 1 inf + 0 347.190 * * [simplify]: Extracting #1: cost 8 inf + 0 347.190 * * [simplify]: Extracting #2: cost 17 inf + 0 347.191 * * [simplify]: Extracting #3: cost 51 inf + 0 347.191 * * [simplify]: Extracting #4: cost 140 inf + 2 347.192 * * [simplify]: Extracting #5: cost 167 inf + 709 347.193 * * [simplify]: Extracting #6: cost 127 inf + 5330 347.196 * * [simplify]: Extracting #7: cost 78 inf + 14682 347.204 * * [simplify]: Extracting #8: cost 14 inf + 60776 347.221 * * [simplify]: Extracting #9: cost 0 inf + 74220 347.243 * * [simplify]: Extracting #10: cost 0 inf + 73536 347.267 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 347.267 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 347.268 * * * * [progress]: [ 390 / 667 ] simplifiying candidate # 347.268 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt 1))) 347.268 * * [simplify]: iters left: 6 (15 enodes) 347.281 * * [simplify]: iters left: 5 (62 enodes) 347.302 * * [simplify]: iters left: 4 (96 enodes) 347.329 * * [simplify]: iters left: 3 (134 enodes) 347.364 * * [simplify]: iters left: 2 (214 enodes) 347.419 * * [simplify]: iters left: 1 (393 enodes) 347.591 * * [simplify]: Extracting #0: cost 1 inf + 0 347.592 * * [simplify]: Extracting #1: cost 5 inf + 0 347.592 * * [simplify]: Extracting #2: cost 35 inf + 1 347.592 * * [simplify]: Extracting #3: cost 121 inf + 2 347.593 * * [simplify]: Extracting #4: cost 168 inf + 219 347.594 * * [simplify]: Extracting #5: cost 165 inf + 644 347.596 * * [simplify]: Extracting #6: cost 96 inf + 9341 347.602 * * [simplify]: Extracting #7: cost 31 inf + 36714 347.620 * * [simplify]: Extracting #8: cost 0 inf + 61766 347.640 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 347.640 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 347.640 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 347.640 * * [simplify]: iters left: 6 (15 enodes) 347.648 * * [simplify]: iters left: 5 (62 enodes) 347.669 * * [simplify]: iters left: 4 (96 enodes) 347.698 * * [simplify]: iters left: 3 (135 enodes) 347.741 * * [simplify]: iters left: 2 (215 enodes) 347.799 * * [simplify]: iters left: 1 (394 enodes) 347.942 * * [simplify]: Extracting #0: cost 1 inf + 0 347.942 * * [simplify]: Extracting #1: cost 6 inf + 0 347.942 * * [simplify]: Extracting #2: cost 13 inf + 0 347.942 * * [simplify]: Extracting #3: cost 42 inf + 42 347.943 * * [simplify]: Extracting #4: cost 125 inf + 246 347.945 * * [simplify]: Extracting #5: cost 161 inf + 1335 347.950 * * [simplify]: Extracting #6: cost 102 inf + 13449 347.959 * * [simplify]: Extracting #7: cost 47 inf + 26458 347.976 * * [simplify]: Extracting #8: cost 13 inf + 52493 347.996 * * [simplify]: Extracting #9: cost 0 inf + 63859 348.016 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 348.016 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt 1))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 348.016 * * * * [progress]: [ 391 / 667 ] simplifiying candidate # 348.017 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 348.017 * * [simplify]: iters left: 6 (17 enodes) 348.027 * * [simplify]: iters left: 5 (68 enodes) 348.042 * * [simplify]: iters left: 4 (102 enodes) 348.061 * * [simplify]: iters left: 3 (149 enodes) 348.093 * * [simplify]: iters left: 2 (235 enodes) 348.155 * * [simplify]: iters left: 1 (414 enodes) 348.315 * * [simplify]: Extracting #0: cost 1 inf + 0 348.315 * * [simplify]: Extracting #1: cost 5 inf + 0 348.315 * * [simplify]: Extracting #2: cost 9 inf + 1 348.316 * * [simplify]: Extracting #3: cost 43 inf + 1 348.316 * * [simplify]: Extracting #4: cost 133 inf + 2 348.317 * * [simplify]: Extracting #5: cost 172 inf + 511 348.319 * * [simplify]: Extracting #6: cost 101 inf + 14127 348.330 * * [simplify]: Extracting #7: cost 24 inf + 50255 348.342 * * [simplify]: Extracting #8: cost 0 inf + 67683 348.359 * * [simplify]: Extracting #9: cost 0 inf + 67428 348.381 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 348.381 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 348.382 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 348.382 * * [simplify]: iters left: 6 (16 enodes) 348.391 * * [simplify]: iters left: 5 (65 enodes) 348.412 * * [simplify]: iters left: 4 (104 enodes) 348.444 * * [simplify]: iters left: 3 (144 enodes) 348.492 * * [simplify]: iters left: 2 (224 enodes) 348.562 * * [simplify]: iters left: 1 (402 enodes) 348.701 * * [simplify]: Extracting #0: cost 1 inf + 0 348.701 * * [simplify]: Extracting #1: cost 8 inf + 0 348.702 * * [simplify]: Extracting #2: cost 17 inf + 0 348.702 * * [simplify]: Extracting #3: cost 51 inf + 0 348.702 * * [simplify]: Extracting #4: cost 140 inf + 2 348.703 * * [simplify]: Extracting #5: cost 167 inf + 709 348.705 * * [simplify]: Extracting #6: cost 127 inf + 5330 348.710 * * [simplify]: Extracting #7: cost 78 inf + 14682 348.722 * * [simplify]: Extracting #8: cost 14 inf + 60776 348.733 * * [simplify]: Extracting #9: cost 0 inf + 74220 348.749 * * [simplify]: Extracting #10: cost 0 inf + 73536 348.773 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 348.773 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 348.773 * * * * [progress]: [ 392 / 667 ] simplifiying candidate # 348.773 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt 1)) 348.774 * * [simplify]: iters left: 6 (14 enodes) 348.782 * * [simplify]: iters left: 5 (59 enodes) 348.791 * * [simplify]: iters left: 4 (93 enodes) 348.805 * * [simplify]: iters left: 3 (132 enodes) 348.840 * * [simplify]: iters left: 2 (212 enodes) 348.905 * * [simplify]: iters left: 1 (395 enodes) 349.075 * * [simplify]: Extracting #0: cost 1 inf + 0 349.075 * * [simplify]: Extracting #1: cost 5 inf + 0 349.075 * * [simplify]: Extracting #2: cost 35 inf + 1 349.076 * * [simplify]: Extracting #3: cost 124 inf + 2 349.076 * * [simplify]: Extracting #4: cost 171 inf + 177 349.077 * * [simplify]: Extracting #5: cost 146 inf + 2415 349.080 * * [simplify]: Extracting #6: cost 77 inf + 11439 349.086 * * [simplify]: Extracting #7: cost 36 inf + 34360 349.095 * * [simplify]: Extracting #8: cost 0 inf + 67214 349.115 * * [simplify]: Extracting #9: cost 0 inf + 66566 349.136 * * [simplify]: Extracting #10: cost 0 inf + 66142 349.154 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 349.154 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 349.155 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 349.155 * * [simplify]: iters left: 6 (15 enodes) 349.159 * * [simplify]: iters left: 5 (62 enodes) 349.171 * * [simplify]: iters left: 4 (96 enodes) 349.197 * * [simplify]: iters left: 3 (135 enodes) 349.240 * * [simplify]: iters left: 2 (215 enodes) 349.296 * * [simplify]: iters left: 1 (394 enodes) 349.453 * * [simplify]: Extracting #0: cost 1 inf + 0 349.454 * * [simplify]: Extracting #1: cost 6 inf + 0 349.454 * * [simplify]: Extracting #2: cost 13 inf + 0 349.454 * * [simplify]: Extracting #3: cost 42 inf + 42 349.455 * * [simplify]: Extracting #4: cost 125 inf + 246 349.457 * * [simplify]: Extracting #5: cost 161 inf + 1335 349.462 * * [simplify]: Extracting #6: cost 102 inf + 13449 349.471 * * [simplify]: Extracting #7: cost 47 inf + 26458 349.481 * * [simplify]: Extracting #8: cost 13 inf + 52493 349.494 * * [simplify]: Extracting #9: cost 0 inf + 63859 349.506 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 349.506 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 349.507 * * * * [progress]: [ 393 / 667 ] simplifiying candidate # 349.507 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 349.507 * * [simplify]: iters left: 6 (17 enodes) 349.518 * * [simplify]: iters left: 5 (68 enodes) 349.533 * * [simplify]: iters left: 4 (102 enodes) 349.550 * * [simplify]: iters left: 3 (149 enodes) 349.592 * * [simplify]: iters left: 2 (235 enodes) 349.676 * * [simplify]: iters left: 1 (414 enodes) 349.878 * * [simplify]: Extracting #0: cost 1 inf + 0 349.878 * * [simplify]: Extracting #1: cost 5 inf + 0 349.878 * * [simplify]: Extracting #2: cost 9 inf + 1 349.878 * * [simplify]: Extracting #3: cost 43 inf + 1 349.879 * * [simplify]: Extracting #4: cost 133 inf + 2 349.879 * * [simplify]: Extracting #5: cost 172 inf + 511 349.882 * * [simplify]: Extracting #6: cost 101 inf + 14127 349.890 * * [simplify]: Extracting #7: cost 24 inf + 50255 349.901 * * [simplify]: Extracting #8: cost 0 inf + 67683 349.922 * * [simplify]: Extracting #9: cost 0 inf + 67428 349.944 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 349.944 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 349.945 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 349.945 * * [simplify]: iters left: 6 (16 enodes) 349.949 * * [simplify]: iters left: 5 (65 enodes) 349.961 * * [simplify]: iters left: 4 (104 enodes) 349.986 * * [simplify]: iters left: 3 (144 enodes) 350.023 * * [simplify]: iters left: 2 (224 enodes) 350.093 * * [simplify]: iters left: 1 (402 enodes) 350.283 * * [simplify]: Extracting #0: cost 1 inf + 0 350.283 * * [simplify]: Extracting #1: cost 8 inf + 0 350.283 * * [simplify]: Extracting #2: cost 17 inf + 0 350.283 * * [simplify]: Extracting #3: cost 51 inf + 0 350.284 * * [simplify]: Extracting #4: cost 140 inf + 2 350.286 * * [simplify]: Extracting #5: cost 167 inf + 709 350.289 * * [simplify]: Extracting #6: cost 127 inf + 5330 350.295 * * [simplify]: Extracting #7: cost 78 inf + 14682 350.311 * * [simplify]: Extracting #8: cost 14 inf + 60776 350.334 * * [simplify]: Extracting #9: cost 0 inf + 74220 350.357 * * [simplify]: Extracting #10: cost 0 inf + 73536 350.380 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 350.380 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 350.380 * * * * [progress]: [ 394 / 667 ] simplifiying candidate # 350.381 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 1) 350.381 * * [simplify]: iters left: 6 (14 enodes) 350.390 * * [simplify]: iters left: 5 (57 enodes) 350.408 * * [simplify]: iters left: 4 (91 enodes) 350.439 * * [simplify]: iters left: 3 (129 enodes) 350.480 * * [simplify]: iters left: 2 (209 enodes) 350.532 * * [simplify]: iters left: 1 (391 enodes) 350.670 * * [simplify]: Extracting #0: cost 1 inf + 0 350.671 * * [simplify]: Extracting #1: cost 5 inf + 0 350.671 * * [simplify]: Extracting #2: cost 38 inf + 1 350.672 * * [simplify]: Extracting #3: cost 125 inf + 2 350.673 * * [simplify]: Extracting #4: cost 162 inf + 219 350.675 * * [simplify]: Extracting #5: cost 154 inf + 1017 350.679 * * [simplify]: Extracting #6: cost 96 inf + 8519 350.692 * * [simplify]: Extracting #7: cost 30 inf + 43030 350.712 * * [simplify]: Extracting #8: cost 0 inf + 69442 350.733 * * [simplify]: Extracting #9: cost 0 inf + 68532 350.743 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 350.743 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 350.743 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 350.743 * * [simplify]: iters left: 6 (15 enodes) 350.748 * * [simplify]: iters left: 5 (62 enodes) 350.761 * * [simplify]: iters left: 4 (96 enodes) 350.790 * * [simplify]: iters left: 3 (135 enodes) 350.830 * * [simplify]: iters left: 2 (215 enodes) 350.889 * * [simplify]: iters left: 1 (394 enodes) 351.074 * * [simplify]: Extracting #0: cost 1 inf + 0 351.074 * * [simplify]: Extracting #1: cost 6 inf + 0 351.074 * * [simplify]: Extracting #2: cost 13 inf + 0 351.074 * * [simplify]: Extracting #3: cost 42 inf + 42 351.075 * * [simplify]: Extracting #4: cost 125 inf + 246 351.076 * * [simplify]: Extracting #5: cost 161 inf + 1335 351.078 * * [simplify]: Extracting #6: cost 102 inf + 13449 351.083 * * [simplify]: Extracting #7: cost 47 inf + 26458 351.091 * * [simplify]: Extracting #8: cost 13 inf + 52493 351.101 * * [simplify]: Extracting #9: cost 0 inf + 63859 351.119 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 351.120 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 351.120 * * * * [progress]: [ 395 / 667 ] simplifiying candidate # 351.120 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 351.120 * * [simplify]: iters left: 6 (18 enodes) 351.125 * * [simplify]: iters left: 5 (73 enodes) 351.137 * * [simplify]: iters left: 4 (117 enodes) 351.167 * * [simplify]: iters left: 3 (164 enodes) 351.199 * * [simplify]: iters left: 2 (247 enodes) 351.282 * * [simplify]: iters left: 1 (429 enodes) 351.462 * * [simplify]: Extracting #0: cost 1 inf + 0 351.462 * * [simplify]: Extracting #1: cost 10 inf + 0 351.462 * * [simplify]: Extracting #2: cost 23 inf + 0 351.462 * * [simplify]: Extracting #3: cost 55 inf + 0 351.463 * * [simplify]: Extracting #4: cost 142 inf + 1 351.465 * * [simplify]: Extracting #5: cost 175 inf + 428 351.468 * * [simplify]: Extracting #6: cost 119 inf + 6975 351.483 * * [simplify]: Extracting #7: cost 36 inf + 41676 351.501 * * [simplify]: Extracting #8: cost 1 inf + 72052 351.519 * * [simplify]: Extracting #9: cost 0 inf + 72118 351.538 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 351.538 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 351.539 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 351.539 * * [simplify]: iters left: 6 (17 enodes) 351.546 * * [simplify]: iters left: 5 (68 enodes) 351.566 * * [simplify]: iters left: 4 (107 enodes) 351.591 * * [simplify]: iters left: 3 (151 enodes) 351.620 * * [simplify]: iters left: 2 (232 enodes) 351.698 * * [simplify]: iters left: 1 (413 enodes) 351.874 * * [simplify]: Extracting #0: cost 1 inf + 0 351.874 * * [simplify]: Extracting #1: cost 8 inf + 0 351.874 * * [simplify]: Extracting #2: cost 17 inf + 0 351.875 * * [simplify]: Extracting #3: cost 46 inf + 0 351.875 * * [simplify]: Extracting #4: cost 136 inf + 1 351.877 * * [simplify]: Extracting #5: cost 176 inf + 385 351.880 * * [simplify]: Extracting #6: cost 122 inf + 8012 351.889 * * [simplify]: Extracting #7: cost 58 inf + 21732 351.905 * * [simplify]: Extracting #8: cost 15 inf + 55794 351.926 * * [simplify]: Extracting #9: cost 0 inf + 68246 351.951 * * [simplify]: Extracting #10: cost 0 inf + 67651 351.970 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 351.970 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 351.970 * * * * [progress]: [ 396 / 667 ] simplifiying candidate # 351.970 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 351.970 * * [simplify]: iters left: 6 (19 enodes) 351.976 * * [simplify]: iters left: 5 (75 enodes) 351.988 * * [simplify]: iters left: 4 (110 enodes) 352.007 * * [simplify]: iters left: 3 (152 enodes) 352.058 * * [simplify]: iters left: 2 (248 enodes) 352.140 * * [simplify]: iters left: 1 (420 enodes) 352.285 * * [simplify]: Extracting #0: cost 1 inf + 0 352.285 * * [simplify]: Extracting #1: cost 8 inf + 0 352.285 * * [simplify]: Extracting #2: cost 19 inf + 0 352.285 * * [simplify]: Extracting #3: cost 55 inf + 0 352.285 * * [simplify]: Extracting #4: cost 147 inf + 1 352.286 * * [simplify]: Extracting #5: cost 193 inf + 303 352.288 * * [simplify]: Extracting #6: cost 121 inf + 12033 352.294 * * [simplify]: Extracting #7: cost 42 inf + 33950 352.306 * * [simplify]: Extracting #8: cost 2 inf + 64305 352.333 * * [simplify]: Extracting #9: cost 0 inf + 60968 352.349 * * [simplify]: Extracting #10: cost 0 inf + 60142 352.367 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 352.367 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 352.367 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 352.368 * * [simplify]: iters left: 6 (18 enodes) 352.377 * * [simplify]: iters left: 5 (71 enodes) 352.398 * * [simplify]: iters left: 4 (110 enodes) 352.416 * * [simplify]: iters left: 3 (154 enodes) 352.447 * * [simplify]: iters left: 2 (235 enodes) 352.508 * * [simplify]: iters left: 1 (415 enodes) 352.685 * * [simplify]: Extracting #0: cost 1 inf + 0 352.685 * * [simplify]: Extracting #1: cost 8 inf + 0 352.685 * * [simplify]: Extracting #2: cost 18 inf + 0 352.685 * * [simplify]: Extracting #3: cost 48 inf + 0 352.685 * * [simplify]: Extracting #4: cost 134 inf + 1 352.686 * * [simplify]: Extracting #5: cost 175 inf + 427 352.688 * * [simplify]: Extracting #6: cost 116 inf + 9464 352.693 * * [simplify]: Extracting #7: cost 41 inf + 31219 352.702 * * [simplify]: Extracting #8: cost 5 inf + 60993 352.713 * * [simplify]: Extracting #9: cost 0 inf + 66546 352.733 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 352.733 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 352.733 * * * * [progress]: [ 397 / 667 ] simplifiying candidate # 352.734 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 352.734 * * [simplify]: iters left: 6 (20 enodes) 352.743 * * [simplify]: iters left: 5 (78 enodes) 352.768 * * [simplify]: iters left: 4 (117 enodes) 352.785 * * [simplify]: iters left: 3 (157 enodes) 352.815 * * [simplify]: iters left: 2 (237 enodes) 352.887 * * [simplify]: iters left: 1 (422 enodes) 353.077 * * [simplify]: Extracting #0: cost 1 inf + 0 353.077 * * [simplify]: Extracting #1: cost 8 inf + 0 353.078 * * [simplify]: Extracting #2: cost 18 inf + 0 353.078 * * [simplify]: Extracting #3: cost 57 inf + 0 353.078 * * [simplify]: Extracting #4: cost 156 inf + 1 353.079 * * [simplify]: Extracting #5: cost 190 inf + 386 353.081 * * [simplify]: Extracting #6: cost 122 inf + 10573 353.086 * * [simplify]: Extracting #7: cost 43 inf + 38046 353.097 * * [simplify]: Extracting #8: cost 2 inf + 75047 353.109 * * [simplify]: Extracting #9: cost 0 inf + 76491 353.130 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 353.130 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 353.131 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 353.131 * * [simplify]: iters left: 6 (19 enodes) 353.141 * * [simplify]: iters left: 5 (74 enodes) 353.163 * * [simplify]: iters left: 4 (109 enodes) 353.199 * * [simplify]: iters left: 3 (154 enodes) 353.233 * * [simplify]: iters left: 2 (252 enodes) 353.294 * * [simplify]: iters left: 1 (418 enodes) 353.450 * * [simplify]: Extracting #0: cost 1 inf + 0 353.450 * * [simplify]: Extracting #1: cost 8 inf + 0 353.450 * * [simplify]: Extracting #2: cost 18 inf + 0 353.450 * * [simplify]: Extracting #3: cost 51 inf + 0 353.451 * * [simplify]: Extracting #4: cost 143 inf + 1 353.452 * * [simplify]: Extracting #5: cost 191 inf + 970 353.454 * * [simplify]: Extracting #6: cost 120 inf + 10262 353.459 * * [simplify]: Extracting #7: cost 48 inf + 31454 353.471 * * [simplify]: Extracting #8: cost 9 inf + 62874 353.496 * * [simplify]: Extracting #9: cost 0 inf + 68359 353.515 * * [simplify]: Extracting #10: cost 0 inf + 68201 353.533 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 353.533 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 353.533 * * * * [progress]: [ 398 / 667 ] simplifiying candidate # 353.533 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 353.533 * * [simplify]: iters left: 6 (16 enodes) 353.538 * * [simplify]: iters left: 5 (65 enodes) 353.549 * * [simplify]: iters left: 4 (99 enodes) 353.570 * * [simplify]: iters left: 3 (138 enodes) 353.618 * * [simplify]: iters left: 2 (218 enodes) 353.688 * * [simplify]: iters left: 1 (399 enodes) 353.834 * * [simplify]: Extracting #0: cost 1 inf + 0 353.834 * * [simplify]: Extracting #1: cost 6 inf + 0 353.834 * * [simplify]: Extracting #2: cost 13 inf + 0 353.835 * * [simplify]: Extracting #3: cost 46 inf + 0 353.835 * * [simplify]: Extracting #4: cost 131 inf + 84 353.837 * * [simplify]: Extracting #5: cost 172 inf + 671 353.840 * * [simplify]: Extracting #6: cost 126 inf + 5587 353.848 * * [simplify]: Extracting #7: cost 63 inf + 18774 353.863 * * [simplify]: Extracting #8: cost 12 inf + 56826 353.883 * * [simplify]: Extracting #9: cost 0 inf + 67224 353.894 * * [simplify]: Extracting #10: cost 0 inf + 67053 353.904 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 353.904 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 353.904 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 353.904 * * [simplify]: iters left: 6 (16 enodes) 353.912 * * [simplify]: iters left: 5 (65 enodes) 353.923 * * [simplify]: iters left: 4 (99 enodes) 353.945 * * [simplify]: iters left: 3 (138 enodes) 353.970 * * [simplify]: iters left: 2 (218 enodes) 354.014 * * [simplify]: iters left: 1 (399 enodes) 354.152 * * [simplify]: Extracting #0: cost 1 inf + 0 354.152 * * [simplify]: Extracting #1: cost 6 inf + 0 354.152 * * [simplify]: Extracting #2: cost 13 inf + 0 354.152 * * [simplify]: Extracting #3: cost 46 inf + 0 354.153 * * [simplify]: Extracting #4: cost 131 inf + 84 354.154 * * [simplify]: Extracting #5: cost 172 inf + 671 354.157 * * [simplify]: Extracting #6: cost 126 inf + 5587 354.164 * * [simplify]: Extracting #7: cost 63 inf + 18774 354.172 * * [simplify]: Extracting #8: cost 12 inf + 56826 354.183 * * [simplify]: Extracting #9: cost 0 inf + 67224 354.196 * * [simplify]: Extracting #10: cost 0 inf + 67053 354.217 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 354.217 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 354.217 * * * * [progress]: [ 399 / 667 ] simplifiying candidate # 354.218 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 354.218 * * [simplify]: iters left: 6 (18 enodes) 354.228 * * [simplify]: iters left: 5 (71 enodes) 354.250 * * [simplify]: iters left: 4 (107 enodes) 354.282 * * [simplify]: iters left: 3 (154 enodes) 354.311 * * [simplify]: iters left: 2 (236 enodes) 354.368 * * [simplify]: iters left: 1 (409 enodes) 354.498 * * [simplify]: Extracting #0: cost 1 inf + 0 354.498 * * [simplify]: Extracting #1: cost 5 inf + 0 354.498 * * [simplify]: Extracting #2: cost 9 inf + 1 354.498 * * [simplify]: Extracting #3: cost 40 inf + 1 354.499 * * [simplify]: Extracting #4: cost 124 inf + 2 354.500 * * [simplify]: Extracting #5: cost 166 inf + 466 354.504 * * [simplify]: Extracting #6: cost 119 inf + 6646 354.511 * * [simplify]: Extracting #7: cost 59 inf + 17287 354.522 * * [simplify]: Extracting #8: cost 29 inf + 36052 354.542 * * [simplify]: Extracting #9: cost 1 inf + 59112 354.563 * * [simplify]: Extracting #10: cost 0 inf + 59987 354.587 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 354.587 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 354.588 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 354.588 * * [simplify]: iters left: 6 (16 enodes) 354.597 * * [simplify]: iters left: 5 (65 enodes) 354.618 * * [simplify]: iters left: 4 (104 enodes) 354.649 * * [simplify]: iters left: 3 (144 enodes) 354.694 * * [simplify]: iters left: 2 (224 enodes) 354.756 * * [simplify]: iters left: 1 (402 enodes) 354.918 * * [simplify]: Extracting #0: cost 1 inf + 0 354.918 * * [simplify]: Extracting #1: cost 8 inf + 0 354.918 * * [simplify]: Extracting #2: cost 17 inf + 0 354.918 * * [simplify]: Extracting #3: cost 51 inf + 0 354.919 * * [simplify]: Extracting #4: cost 140 inf + 2 354.920 * * [simplify]: Extracting #5: cost 168 inf + 588 354.924 * * [simplify]: Extracting #6: cost 127 inf + 5330 354.930 * * [simplify]: Extracting #7: cost 78 inf + 14722 354.947 * * [simplify]: Extracting #8: cost 14 inf + 60776 354.970 * * [simplify]: Extracting #9: cost 0 inf + 74220 354.984 * * [simplify]: Extracting #10: cost 0 inf + 73536 354.995 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 354.995 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 354.995 * * * * [progress]: [ 400 / 667 ] simplifiying candidate # 354.996 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 354.996 * * [simplify]: iters left: 6 (16 enodes) 355.001 * * [simplify]: iters left: 5 (65 enodes) 355.019 * * [simplify]: iters left: 4 (99 enodes) 355.038 * * [simplify]: iters left: 3 (138 enodes) 355.061 * * [simplify]: iters left: 2 (218 enodes) 355.107 * * [simplify]: iters left: 1 (399 enodes) 355.252 * * [simplify]: Extracting #0: cost 1 inf + 0 355.252 * * [simplify]: Extracting #1: cost 6 inf + 0 355.252 * * [simplify]: Extracting #2: cost 13 inf + 0 355.253 * * [simplify]: Extracting #3: cost 46 inf + 0 355.253 * * [simplify]: Extracting #4: cost 131 inf + 84 355.255 * * [simplify]: Extracting #5: cost 172 inf + 671 355.258 * * [simplify]: Extracting #6: cost 126 inf + 5587 355.262 * * [simplify]: Extracting #7: cost 63 inf + 18774 355.270 * * [simplify]: Extracting #8: cost 12 inf + 56826 355.283 * * [simplify]: Extracting #9: cost 0 inf + 67224 355.300 * * [simplify]: Extracting #10: cost 0 inf + 67053 355.321 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 355.321 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 355.321 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 355.321 * * [simplify]: iters left: 6 (16 enodes) 355.331 * * [simplify]: iters left: 5 (65 enodes) 355.349 * * [simplify]: iters left: 4 (99 enodes) 355.369 * * [simplify]: iters left: 3 (138 enodes) 355.415 * * [simplify]: iters left: 2 (218 enodes) 355.494 * * [simplify]: iters left: 1 (399 enodes) 355.705 * * [simplify]: Extracting #0: cost 1 inf + 0 355.705 * * [simplify]: Extracting #1: cost 6 inf + 0 355.705 * * [simplify]: Extracting #2: cost 13 inf + 0 355.705 * * [simplify]: Extracting #3: cost 46 inf + 0 355.706 * * [simplify]: Extracting #4: cost 131 inf + 84 355.707 * * [simplify]: Extracting #5: cost 172 inf + 671 355.710 * * [simplify]: Extracting #6: cost 126 inf + 5587 355.718 * * [simplify]: Extracting #7: cost 63 inf + 18774 355.733 * * [simplify]: Extracting #8: cost 12 inf + 56826 355.748 * * [simplify]: Extracting #9: cost 0 inf + 67224 355.758 * * [simplify]: Extracting #10: cost 0 inf + 67053 355.769 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 355.769 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 355.769 * * * * [progress]: [ 401 / 667 ] simplifiying candidate # 355.770 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 355.770 * * [simplify]: iters left: 6 (17 enodes) 355.775 * * [simplify]: iters left: 5 (68 enodes) 355.797 * * [simplify]: iters left: 4 (104 enodes) 355.816 * * [simplify]: iters left: 3 (151 enodes) 355.861 * * [simplify]: iters left: 2 (233 enodes) 355.939 * * [simplify]: iters left: 1 (413 enodes) 356.095 * * [simplify]: Extracting #0: cost 1 inf + 0 356.095 * * [simplify]: Extracting #1: cost 5 inf + 0 356.095 * * [simplify]: Extracting #2: cost 9 inf + 1 356.095 * * [simplify]: Extracting #3: cost 39 inf + 1 356.096 * * [simplify]: Extracting #4: cost 124 inf + 2 356.096 * * [simplify]: Extracting #5: cost 166 inf + 469 356.099 * * [simplify]: Extracting #6: cost 100 inf + 10555 356.108 * * [simplify]: Extracting #7: cost 36 inf + 31929 356.126 * * [simplify]: Extracting #8: cost 2 inf + 59817 356.137 * * [simplify]: Extracting #9: cost 0 inf + 60119 356.147 * * [simplify]: Extracting #10: cost 0 inf + 59947 356.161 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 356.161 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 356.162 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 356.162 * * [simplify]: iters left: 6 (16 enodes) 356.170 * * [simplify]: iters left: 5 (65 enodes) 356.191 * * [simplify]: iters left: 4 (104 enodes) 356.225 * * [simplify]: iters left: 3 (144 enodes) 356.271 * * [simplify]: iters left: 2 (224 enodes) 356.351 * * [simplify]: iters left: 1 (402 enodes) 356.537 * * [simplify]: Extracting #0: cost 1 inf + 0 356.537 * * [simplify]: Extracting #1: cost 8 inf + 0 356.537 * * [simplify]: Extracting #2: cost 17 inf + 0 356.538 * * [simplify]: Extracting #3: cost 51 inf + 0 356.538 * * [simplify]: Extracting #4: cost 140 inf + 2 356.540 * * [simplify]: Extracting #5: cost 168 inf + 588 356.544 * * [simplify]: Extracting #6: cost 127 inf + 5330 356.550 * * [simplify]: Extracting #7: cost 78 inf + 14722 356.566 * * [simplify]: Extracting #8: cost 14 inf + 60776 356.587 * * [simplify]: Extracting #9: cost 0 inf + 74220 356.599 * * [simplify]: Extracting #10: cost 0 inf + 73536 356.611 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 356.611 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 356.611 * * * * [progress]: [ 402 / 667 ] simplifiying candidate # 356.611 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 356.611 * * [simplify]: iters left: 6 (16 enodes) 356.616 * * [simplify]: iters left: 5 (65 enodes) 356.631 * * [simplify]: iters left: 4 (99 enodes) 356.646 * * [simplify]: iters left: 3 (138 enodes) 356.673 * * [simplify]: iters left: 2 (218 enodes) 356.715 * * [simplify]: iters left: 1 (399 enodes) 356.855 * * [simplify]: Extracting #0: cost 1 inf + 0 356.855 * * [simplify]: Extracting #1: cost 6 inf + 0 356.855 * * [simplify]: Extracting #2: cost 13 inf + 0 356.855 * * [simplify]: Extracting #3: cost 46 inf + 0 356.856 * * [simplify]: Extracting #4: cost 131 inf + 84 356.858 * * [simplify]: Extracting #5: cost 172 inf + 671 356.861 * * [simplify]: Extracting #6: cost 126 inf + 5587 356.868 * * [simplify]: Extracting #7: cost 63 inf + 18774 356.884 * * [simplify]: Extracting #8: cost 12 inf + 56826 356.899 * * [simplify]: Extracting #9: cost 0 inf + 67224 356.910 * * [simplify]: Extracting #10: cost 0 inf + 67053 356.927 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 356.927 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 356.927 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 356.928 * * [simplify]: iters left: 6 (16 enodes) 356.941 * * [simplify]: iters left: 5 (65 enodes) 356.962 * * [simplify]: iters left: 4 (99 enodes) 356.978 * * [simplify]: iters left: 3 (138 enodes) 357.004 * * [simplify]: iters left: 2 (218 enodes) 357.062 * * [simplify]: iters left: 1 (399 enodes) 357.195 * * [simplify]: Extracting #0: cost 1 inf + 0 357.195 * * [simplify]: Extracting #1: cost 6 inf + 0 357.195 * * [simplify]: Extracting #2: cost 13 inf + 0 357.195 * * [simplify]: Extracting #3: cost 46 inf + 0 357.195 * * [simplify]: Extracting #4: cost 131 inf + 84 357.196 * * [simplify]: Extracting #5: cost 172 inf + 671 357.198 * * [simplify]: Extracting #6: cost 126 inf + 5587 357.204 * * [simplify]: Extracting #7: cost 63 inf + 18774 357.218 * * [simplify]: Extracting #8: cost 12 inf + 56826 357.238 * * [simplify]: Extracting #9: cost 0 inf + 67224 357.259 * * [simplify]: Extracting #10: cost 0 inf + 67053 357.280 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 357.280 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 357.280 * * * * [progress]: [ 403 / 667 ] simplifiying candidate # 357.281 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 1) 357.281 * * [simplify]: iters left: 6 (16 enodes) 357.289 * * [simplify]: iters left: 5 (63 enodes) 357.307 * * [simplify]: iters left: 4 (100 enodes) 357.323 * * [simplify]: iters left: 3 (143 enodes) 357.356 * * [simplify]: iters left: 2 (224 enodes) 357.397 * * [simplify]: iters left: 1 (400 enodes) 357.532 * * [simplify]: Extracting #0: cost 1 inf + 0 357.532 * * [simplify]: Extracting #1: cost 5 inf + 0 357.532 * * [simplify]: Extracting #2: cost 9 inf + 1 357.532 * * [simplify]: Extracting #3: cost 40 inf + 1 357.532 * * [simplify]: Extracting #4: cost 127 inf + 2 357.533 * * [simplify]: Extracting #5: cost 156 inf + 1472 357.535 * * [simplify]: Extracting #6: cost 100 inf + 11853 357.540 * * [simplify]: Extracting #7: cost 40 inf + 30455 357.550 * * [simplify]: Extracting #8: cost 3 inf + 61332 357.560 * * [simplify]: Extracting #9: cost 0 inf + 63873 357.570 * * [simplify]: Extracting #10: cost 0 inf + 63451 357.990 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 357.990 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 357.990 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 357.990 * * [simplify]: iters left: 6 (16 enodes) 357.998 * * [simplify]: iters left: 5 (65 enodes) 358.019 * * [simplify]: iters left: 4 (104 enodes) 358.048 * * [simplify]: iters left: 3 (144 enodes) 358.072 * * [simplify]: iters left: 2 (224 enodes) 358.147 * * [simplify]: iters left: 1 (402 enodes) 358.300 * * [simplify]: Extracting #0: cost 1 inf + 0 358.300 * * [simplify]: Extracting #1: cost 8 inf + 0 358.301 * * [simplify]: Extracting #2: cost 17 inf + 0 358.301 * * [simplify]: Extracting #3: cost 51 inf + 0 358.302 * * [simplify]: Extracting #4: cost 140 inf + 2 358.303 * * [simplify]: Extracting #5: cost 168 inf + 588 358.306 * * [simplify]: Extracting #6: cost 127 inf + 5330 358.313 * * [simplify]: Extracting #7: cost 78 inf + 14722 358.325 * * [simplify]: Extracting #8: cost 14 inf + 60776 358.337 * * [simplify]: Extracting #9: cost 0 inf + 74220 358.348 * * [simplify]: Extracting #10: cost 0 inf + 73536 358.365 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 358.365 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 358.366 * * * * [progress]: [ 404 / 667 ] simplifiying candidate # 358.366 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 358.366 * * [simplify]: iters left: 6 (17 enodes) 358.375 * * [simplify]: iters left: 5 (68 enodes) 358.391 * * [simplify]: iters left: 4 (108 enodes) 358.411 * * [simplify]: iters left: 3 (158 enodes) 358.440 * * [simplify]: iters left: 2 (241 enodes) 358.517 * * [simplify]: iters left: 1 (418 enodes) 358.680 * * [simplify]: Extracting #0: cost 1 inf + 0 358.680 * * [simplify]: Extracting #1: cost 7 inf + 0 358.681 * * [simplify]: Extracting #2: cost 13 inf + 1 358.681 * * [simplify]: Extracting #3: cost 48 inf + 1 358.682 * * [simplify]: Extracting #4: cost 136 inf + 2 358.683 * * [simplify]: Extracting #5: cost 178 inf + 304 358.688 * * [simplify]: Extracting #6: cost 96 inf + 15497 358.709 * * [simplify]: Extracting #7: cost 18 inf + 51463 358.734 * * [simplify]: Extracting #8: cost 0 inf + 63375 358.749 * * [simplify]: Extracting #9: cost 0 inf + 61793 358.762 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 358.762 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 358.763 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 358.763 * * [simplify]: iters left: 6 (16 enodes) 358.771 * * [simplify]: iters left: 5 (65 enodes) 358.792 * * [simplify]: iters left: 4 (104 enodes) 358.823 * * [simplify]: iters left: 3 (144 enodes) 358.851 * * [simplify]: iters left: 2 (224 enodes) 358.928 * * [simplify]: iters left: 1 (402 enodes) 359.091 * * [simplify]: Extracting #0: cost 1 inf + 0 359.091 * * [simplify]: Extracting #1: cost 8 inf + 0 359.091 * * [simplify]: Extracting #2: cost 17 inf + 0 359.091 * * [simplify]: Extracting #3: cost 51 inf + 0 359.091 * * [simplify]: Extracting #4: cost 140 inf + 2 359.092 * * [simplify]: Extracting #5: cost 167 inf + 789 359.094 * * [simplify]: Extracting #6: cost 127 inf + 5490 359.097 * * [simplify]: Extracting #7: cost 78 inf + 14922 359.110 * * [simplify]: Extracting #8: cost 14 inf + 61096 359.132 * * [simplify]: Extracting #9: cost 0 inf + 74540 359.146 * * [simplify]: Extracting #10: cost 0 inf + 73856 359.158 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 359.158 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 359.158 * * * * [progress]: [ 405 / 667 ] simplifiying candidate # 359.158 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 359.158 * * [simplify]: iters left: 6 (17 enodes) 359.164 * * [simplify]: iters left: 5 (67 enodes) 359.186 * * [simplify]: iters left: 4 (103 enodes) 359.205 * * [simplify]: iters left: 3 (151 enodes) 359.237 * * [simplify]: iters left: 2 (237 enodes) 359.281 * * [simplify]: iters left: 1 (413 enodes) 359.461 * * [simplify]: Extracting #0: cost 1 inf + 0 359.461 * * [simplify]: Extracting #1: cost 5 inf + 0 359.462 * * [simplify]: Extracting #2: cost 10 inf + 1 359.462 * * [simplify]: Extracting #3: cost 41 inf + 1 359.462 * * [simplify]: Extracting #4: cost 129 inf + 2 359.464 * * [simplify]: Extracting #5: cost 166 inf + 220 359.468 * * [simplify]: Extracting #6: cost 108 inf + 13233 359.477 * * [simplify]: Extracting #7: cost 19 inf + 48460 359.487 * * [simplify]: Extracting #8: cost 0 inf + 64764 359.501 * * [simplify]: Extracting #9: cost 0 inf + 63596 359.520 * * [simplify]: Extracting #10: cost 0 inf + 63396 359.532 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) 359.533 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 359.533 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 359.533 * * [simplify]: iters left: 6 (17 enodes) 359.538 * * [simplify]: iters left: 5 (68 enodes) 359.550 * * [simplify]: iters left: 4 (107 enodes) 359.582 * * [simplify]: iters left: 3 (151 enodes) 359.630 * * [simplify]: iters left: 2 (232 enodes) 359.702 * * [simplify]: iters left: 1 (413 enodes) 359.905 * * [simplify]: Extracting #0: cost 1 inf + 0 359.905 * * [simplify]: Extracting #1: cost 8 inf + 0 359.905 * * [simplify]: Extracting #2: cost 18 inf + 0 359.906 * * [simplify]: Extracting #3: cost 48 inf + 0 359.907 * * [simplify]: Extracting #4: cost 135 inf + 2 359.909 * * [simplify]: Extracting #5: cost 166 inf + 1241 359.912 * * [simplify]: Extracting #6: cost 109 inf + 9979 359.916 * * [simplify]: Extracting #7: cost 51 inf + 26900 359.924 * * [simplify]: Extracting #8: cost 12 inf + 58010 359.934 * * [simplify]: Extracting #9: cost 0 inf + 68204 359.950 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 359.950 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 359.951 * * * * [progress]: [ 406 / 667 ] simplifiying candidate # 359.951 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 359.951 * * [simplify]: iters left: 6 (17 enodes) 359.960 * * [simplify]: iters left: 5 (67 enodes) 359.982 * * [simplify]: iters left: 4 (103 enodes) 360.009 * * [simplify]: iters left: 3 (151 enodes) 360.039 * * [simplify]: iters left: 2 (237 enodes) 360.104 * * [simplify]: iters left: 1 (413 enodes) 360.272 * * [simplify]: Extracting #0: cost 1 inf + 0 360.272 * * [simplify]: Extracting #1: cost 5 inf + 0 360.272 * * [simplify]: Extracting #2: cost 9 inf + 1 360.272 * * [simplify]: Extracting #3: cost 40 inf + 1 360.273 * * [simplify]: Extracting #4: cost 129 inf + 2 360.274 * * [simplify]: Extracting #5: cost 166 inf + 220 360.278 * * [simplify]: Extracting #6: cost 108 inf + 13193 360.293 * * [simplify]: Extracting #7: cost 19 inf + 48460 360.319 * * [simplify]: Extracting #8: cost 0 inf + 64764 360.339 * * [simplify]: Extracting #9: cost 0 inf + 63596 360.359 * * [simplify]: Extracting #10: cost 0 inf + 63396 360.379 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k)))) 360.379 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 360.379 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 360.379 * * [simplify]: iters left: 6 (18 enodes) 360.384 * * [simplify]: iters left: 5 (71 enodes) 360.396 * * [simplify]: iters left: 4 (110 enodes) 360.415 * * [simplify]: iters left: 3 (154 enodes) 360.443 * * [simplify]: iters left: 2 (235 enodes) 360.525 * * [simplify]: iters left: 1 (415 enodes) 360.752 * * [simplify]: Extracting #0: cost 1 inf + 0 360.752 * * [simplify]: Extracting #1: cost 8 inf + 0 360.752 * * [simplify]: Extracting #2: cost 18 inf + 0 360.752 * * [simplify]: Extracting #3: cost 49 inf + 0 360.753 * * [simplify]: Extracting #4: cost 130 inf + 365 360.754 * * [simplify]: Extracting #5: cost 158 inf + 2624 360.759 * * [simplify]: Extracting #6: cost 98 inf + 11954 360.769 * * [simplify]: Extracting #7: cost 39 inf + 31916 360.779 * * [simplify]: Extracting #8: cost 5 inf + 60833 360.791 * * [simplify]: Extracting #9: cost 0 inf + 66386 360.805 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 360.805 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 360.805 * * * * [progress]: [ 407 / 667 ] simplifiying candidate # 360.806 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt (sqrt k)))) 360.806 * * [simplify]: iters left: 6 (16 enodes) 360.814 * * [simplify]: iters left: 5 (63 enodes) 360.835 * * [simplify]: iters left: 4 (99 enodes) 360.864 * * [simplify]: iters left: 3 (143 enodes) 360.888 * * [simplify]: iters left: 2 (224 enodes) 360.944 * * [simplify]: iters left: 1 (400 enodes) 361.083 * * [simplify]: Extracting #0: cost 1 inf + 0 361.083 * * [simplify]: Extracting #1: cost 5 inf + 0 361.083 * * [simplify]: Extracting #2: cost 9 inf + 1 361.083 * * [simplify]: Extracting #3: cost 42 inf + 1 361.083 * * [simplify]: Extracting #4: cost 131 inf + 2 361.084 * * [simplify]: Extracting #5: cost 160 inf + 1472 361.086 * * [simplify]: Extracting #6: cost 106 inf + 12888 361.092 * * [simplify]: Extracting #7: cost 40 inf + 39054 361.102 * * [simplify]: Extracting #8: cost 0 inf + 69302 361.119 * * [simplify]: Extracting #9: cost 0 inf + 67902 361.140 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 361.140 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 361.140 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 361.141 * * [simplify]: iters left: 6 (16 enodes) 361.149 * * [simplify]: iters left: 5 (65 enodes) 361.170 * * [simplify]: iters left: 4 (104 enodes) 361.203 * * [simplify]: iters left: 3 (144 enodes) 361.227 * * [simplify]: iters left: 2 (224 enodes) 361.286 * * [simplify]: iters left: 1 (402 enodes) 361.496 * * [simplify]: Extracting #0: cost 1 inf + 0 361.496 * * [simplify]: Extracting #1: cost 8 inf + 0 361.496 * * [simplify]: Extracting #2: cost 17 inf + 0 361.496 * * [simplify]: Extracting #3: cost 51 inf + 0 361.496 * * [simplify]: Extracting #4: cost 140 inf + 2 361.497 * * [simplify]: Extracting #5: cost 167 inf + 709 361.499 * * [simplify]: Extracting #6: cost 127 inf + 5330 361.502 * * [simplify]: Extracting #7: cost 78 inf + 14682 361.510 * * [simplify]: Extracting #8: cost 14 inf + 60776 361.534 * * [simplify]: Extracting #9: cost 0 inf + 74220 361.557 * * [simplify]: Extracting #10: cost 0 inf + 73536 361.579 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 361.579 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 361.579 * * * * [progress]: [ 408 / 667 ] simplifiying candidate # 361.580 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt 1))) 361.580 * * [simplify]: iters left: 6 (15 enodes) 361.587 * * [simplify]: iters left: 5 (60 enodes) 361.597 * * [simplify]: iters left: 4 (94 enodes) 361.611 * * [simplify]: iters left: 3 (137 enodes) 361.656 * * [simplify]: iters left: 2 (222 enodes) 361.725 * * [simplify]: iters left: 1 (404 enodes) 361.939 * * [simplify]: Extracting #0: cost 1 inf + 0 361.939 * * [simplify]: Extracting #1: cost 5 inf + 0 361.939 * * [simplify]: Extracting #2: cost 36 inf + 1 361.939 * * [simplify]: Extracting #3: cost 127 inf + 2 361.940 * * [simplify]: Extracting #4: cost 171 inf + 177 361.941 * * [simplify]: Extracting #5: cost 145 inf + 6420 361.946 * * [simplify]: Extracting #6: cost 59 inf + 28017 361.956 * * [simplify]: Extracting #7: cost 6 inf + 61709 361.974 * * [simplify]: Extracting #8: cost 0 inf + 65351 361.988 * * [simplify]: Extracting #9: cost 0 inf + 65231 362.003 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 362.003 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 362.004 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 362.004 * * [simplify]: iters left: 6 (15 enodes) 362.012 * * [simplify]: iters left: 5 (62 enodes) 362.031 * * [simplify]: iters left: 4 (96 enodes) 362.060 * * [simplify]: iters left: 3 (135 enodes) 362.100 * * [simplify]: iters left: 2 (215 enodes) 362.159 * * [simplify]: iters left: 1 (394 enodes) 362.349 * * [simplify]: Extracting #0: cost 1 inf + 0 362.349 * * [simplify]: Extracting #1: cost 6 inf + 0 362.349 * * [simplify]: Extracting #2: cost 13 inf + 0 362.350 * * [simplify]: Extracting #3: cost 42 inf + 42 362.350 * * [simplify]: Extracting #4: cost 125 inf + 246 362.352 * * [simplify]: Extracting #5: cost 161 inf + 1335 362.357 * * [simplify]: Extracting #6: cost 102 inf + 13449 362.367 * * [simplify]: Extracting #7: cost 47 inf + 26458 362.383 * * [simplify]: Extracting #8: cost 13 inf + 52493 362.403 * * [simplify]: Extracting #9: cost 0 inf + 63859 362.413 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 362.413 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt 1))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 362.413 * * * * [progress]: [ 409 / 667 ] simplifiying candidate # 362.413 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt (sqrt k)))) 362.413 * * [simplify]: iters left: 6 (16 enodes) 362.418 * * [simplify]: iters left: 5 (63 enodes) 362.429 * * [simplify]: iters left: 4 (99 enodes) 362.458 * * [simplify]: iters left: 3 (143 enodes) 362.502 * * [simplify]: iters left: 2 (224 enodes) 362.566 * * [simplify]: iters left: 1 (400 enodes) 362.730 * * [simplify]: Extracting #0: cost 1 inf + 0 362.730 * * [simplify]: Extracting #1: cost 5 inf + 0 362.730 * * [simplify]: Extracting #2: cost 9 inf + 1 362.730 * * [simplify]: Extracting #3: cost 42 inf + 1 362.731 * * [simplify]: Extracting #4: cost 131 inf + 2 362.731 * * [simplify]: Extracting #5: cost 160 inf + 1472 362.734 * * [simplify]: Extracting #6: cost 106 inf + 12888 362.740 * * [simplify]: Extracting #7: cost 40 inf + 39054 362.750 * * [simplify]: Extracting #8: cost 0 inf + 69302 362.761 * * [simplify]: Extracting #9: cost 0 inf + 67902 362.774 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 362.774 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 362.775 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 362.775 * * [simplify]: iters left: 6 (16 enodes) 362.784 * * [simplify]: iters left: 5 (65 enodes) 362.805 * * [simplify]: iters left: 4 (104 enodes) 362.836 * * [simplify]: iters left: 3 (144 enodes) 362.882 * * [simplify]: iters left: 2 (224 enodes) 362.966 * * [simplify]: iters left: 1 (402 enodes) 363.155 * * [simplify]: Extracting #0: cost 1 inf + 0 363.155 * * [simplify]: Extracting #1: cost 8 inf + 0 363.156 * * [simplify]: Extracting #2: cost 17 inf + 0 363.156 * * [simplify]: Extracting #3: cost 51 inf + 0 363.156 * * [simplify]: Extracting #4: cost 140 inf + 2 363.158 * * [simplify]: Extracting #5: cost 167 inf + 709 363.161 * * [simplify]: Extracting #6: cost 127 inf + 5330 363.167 * * [simplify]: Extracting #7: cost 78 inf + 14682 363.175 * * [simplify]: Extracting #8: cost 14 inf + 60776 363.186 * * [simplify]: Extracting #9: cost 0 inf + 74220 363.206 * * [simplify]: Extracting #10: cost 0 inf + 73536 363.229 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 363.229 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 363.229 * * * * [progress]: [ 410 / 667 ] simplifiying candidate # 363.230 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt 1)) 363.230 * * [simplify]: iters left: 6 (14 enodes) 363.240 * * [simplify]: iters left: 5 (57 enodes) 363.257 * * [simplify]: iters left: 4 (91 enodes) 363.286 * * [simplify]: iters left: 3 (129 enodes) 363.326 * * [simplify]: iters left: 2 (209 enodes) 363.401 * * [simplify]: iters left: 1 (391 enodes) 363.528 * * [simplify]: Extracting #0: cost 1 inf + 0 363.529 * * [simplify]: Extracting #1: cost 5 inf + 0 363.529 * * [simplify]: Extracting #2: cost 38 inf + 1 363.530 * * [simplify]: Extracting #3: cost 125 inf + 2 363.531 * * [simplify]: Extracting #4: cost 162 inf + 219 363.533 * * [simplify]: Extracting #5: cost 154 inf + 1017 363.535 * * [simplify]: Extracting #6: cost 96 inf + 8519 363.542 * * [simplify]: Extracting #7: cost 30 inf + 43030 363.552 * * [simplify]: Extracting #8: cost 0 inf + 69442 363.565 * * [simplify]: Extracting #9: cost 0 inf + 68532 363.580 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 363.580 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 363.581 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 363.581 * * [simplify]: iters left: 6 (15 enodes) 363.589 * * [simplify]: iters left: 5 (62 enodes) 363.605 * * [simplify]: iters left: 4 (96 enodes) 363.620 * * [simplify]: iters left: 3 (135 enodes) 363.643 * * [simplify]: iters left: 2 (215 enodes) 363.718 * * [simplify]: iters left: 1 (394 enodes) 363.893 * * [simplify]: Extracting #0: cost 1 inf + 0 363.893 * * [simplify]: Extracting #1: cost 6 inf + 0 363.893 * * [simplify]: Extracting #2: cost 13 inf + 0 363.893 * * [simplify]: Extracting #3: cost 42 inf + 42 363.893 * * [simplify]: Extracting #4: cost 125 inf + 246 363.894 * * [simplify]: Extracting #5: cost 161 inf + 1335 363.897 * * [simplify]: Extracting #6: cost 102 inf + 13449 363.901 * * [simplify]: Extracting #7: cost 47 inf + 26458 363.910 * * [simplify]: Extracting #8: cost 13 inf + 52493 363.920 * * [simplify]: Extracting #9: cost 0 inf + 63859 363.938 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 363.938 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 363.938 * * * * [progress]: [ 411 / 667 ] simplifiying candidate # 363.939 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt (sqrt k)))) 363.939 * * [simplify]: iters left: 6 (16 enodes) 363.947 * * [simplify]: iters left: 5 (63 enodes) 363.968 * * [simplify]: iters left: 4 (99 enodes) 364.003 * * [simplify]: iters left: 3 (143 enodes) 364.044 * * [simplify]: iters left: 2 (224 enodes) 364.099 * * [simplify]: iters left: 1 (400 enodes) 364.271 * * [simplify]: Extracting #0: cost 1 inf + 0 364.271 * * [simplify]: Extracting #1: cost 5 inf + 0 364.271 * * [simplify]: Extracting #2: cost 9 inf + 1 364.272 * * [simplify]: Extracting #3: cost 42 inf + 1 364.272 * * [simplify]: Extracting #4: cost 131 inf + 2 364.274 * * [simplify]: Extracting #5: cost 160 inf + 1472 364.278 * * [simplify]: Extracting #6: cost 106 inf + 12888 364.288 * * [simplify]: Extracting #7: cost 40 inf + 39054 364.299 * * [simplify]: Extracting #8: cost 0 inf + 69302 364.309 * * [simplify]: Extracting #9: cost 0 inf + 67902 364.327 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 364.327 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 364.327 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 364.328 * * [simplify]: iters left: 6 (16 enodes) 364.336 * * [simplify]: iters left: 5 (65 enodes) 364.357 * * [simplify]: iters left: 4 (104 enodes) 364.383 * * [simplify]: iters left: 3 (144 enodes) 364.410 * * [simplify]: iters left: 2 (224 enodes) 364.469 * * [simplify]: iters left: 1 (402 enodes) 364.645 * * [simplify]: Extracting #0: cost 1 inf + 0 364.645 * * [simplify]: Extracting #1: cost 8 inf + 0 364.645 * * [simplify]: Extracting #2: cost 17 inf + 0 364.645 * * [simplify]: Extracting #3: cost 51 inf + 0 364.646 * * [simplify]: Extracting #4: cost 140 inf + 2 364.647 * * [simplify]: Extracting #5: cost 167 inf + 709 364.648 * * [simplify]: Extracting #6: cost 127 inf + 5330 364.651 * * [simplify]: Extracting #7: cost 78 inf + 14682 364.660 * * [simplify]: Extracting #8: cost 14 inf + 60776 364.683 * * [simplify]: Extracting #9: cost 0 inf + 74220 364.706 * * [simplify]: Extracting #10: cost 0 inf + 73536 364.730 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 364.730 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 364.730 * * * * [progress]: [ 412 / 667 ] simplifiying candidate # 364.730 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 1) 364.730 * * [simplify]: iters left: 6 (13 enodes) 364.738 * * [simplify]: iters left: 5 (50 enodes) 364.754 * * [simplify]: iters left: 4 (86 enodes) 364.770 * * [simplify]: iters left: 3 (125 enodes) 364.793 * * [simplify]: iters left: 2 (205 enodes) 364.844 * * [simplify]: iters left: 1 (387 enodes) 364.978 * * [simplify]: Extracting #0: cost 1 inf + 0 364.978 * * [simplify]: Extracting #1: cost 5 inf + 0 364.979 * * [simplify]: Extracting #2: cost 38 inf + 1 364.979 * * [simplify]: Extracting #3: cost 124 inf + 2 364.981 * * [simplify]: Extracting #4: cost 163 inf + 177 364.982 * * [simplify]: Extracting #5: cost 160 inf + 643 364.987 * * [simplify]: Extracting #6: cost 83 inf + 19724 364.995 * * [simplify]: Extracting #7: cost 27 inf + 44829 365.005 * * [simplify]: Extracting #8: cost 0 inf + 68950 365.020 * * [simplify]: Extracting #9: cost 0 inf + 67609 365.044 * * [simplify]: Extracting #10: cost 0 inf + 66935 365.066 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 365.066 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 365.067 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 365.067 * * [simplify]: iters left: 6 (15 enodes) 365.075 * * [simplify]: iters left: 5 (62 enodes) 365.096 * * [simplify]: iters left: 4 (96 enodes) 365.124 * * [simplify]: iters left: 3 (135 enodes) 365.170 * * [simplify]: iters left: 2 (215 enodes) 365.250 * * [simplify]: iters left: 1 (394 enodes) 365.444 * * [simplify]: Extracting #0: cost 1 inf + 0 365.444 * * [simplify]: Extracting #1: cost 6 inf + 0 365.444 * * [simplify]: Extracting #2: cost 13 inf + 0 365.444 * * [simplify]: Extracting #3: cost 42 inf + 42 365.445 * * [simplify]: Extracting #4: cost 125 inf + 246 365.446 * * [simplify]: Extracting #5: cost 161 inf + 1335 365.448 * * [simplify]: Extracting #6: cost 102 inf + 13449 365.456 * * [simplify]: Extracting #7: cost 47 inf + 26458 365.465 * * [simplify]: Extracting #8: cost 13 inf + 52493 365.475 * * [simplify]: Extracting #9: cost 0 inf + 63859 365.486 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 365.486 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 365.486 * * * * [progress]: [ 413 / 667 ] simplifiying candidate # 365.486 * [simplify]: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 365.486 * * [simplify]: iters left: 6 (8 enodes) 365.491 * * [simplify]: iters left: 5 (32 enodes) 365.505 * * [simplify]: iters left: 4 (47 enodes) 365.517 * * [simplify]: iters left: 3 (51 enodes) 365.525 * * [simplify]: iters left: 2 (61 enodes) 365.535 * * [simplify]: iters left: 1 (81 enodes) 365.553 * * [simplify]: Extracting #0: cost 1 inf + 0 365.553 * * [simplify]: Extracting #1: cost 10 inf + 0 365.553 * * [simplify]: Extracting #2: cost 27 inf + 1 365.554 * * [simplify]: Extracting #3: cost 37 inf + 3 365.554 * * [simplify]: Extracting #4: cost 33 inf + 8 365.554 * * [simplify]: Extracting #5: cost 20 inf + 2757 365.556 * * [simplify]: Extracting #6: cost 1 inf + 8704 365.558 * * [simplify]: Extracting #7: cost 0 inf + 9076 365.560 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 365.560 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 365.560 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 365.560 * * [simplify]: iters left: 6 (15 enodes) 365.568 * * [simplify]: iters left: 5 (62 enodes) 365.582 * * [simplify]: iters left: 4 (103 enodes) 365.600 * * [simplify]: iters left: 3 (161 enodes) 365.634 * * [simplify]: iters left: 2 (296 enodes) 365.713 * * [simplify]: Extracting #0: cost 1 inf + 0 365.713 * * [simplify]: Extracting #1: cost 57 inf + 0 365.714 * * [simplify]: Extracting #2: cost 153 inf + 0 365.715 * * [simplify]: Extracting #3: cost 218 inf + 2 365.717 * * [simplify]: Extracting #4: cost 226 inf + 221 365.720 * * [simplify]: Extracting #5: cost 194 inf + 9476 365.728 * * [simplify]: Extracting #6: cost 121 inf + 33828 365.739 * * [simplify]: Extracting #7: cost 30 inf + 102863 365.757 * * [simplify]: Extracting #8: cost 0 inf + 126769 365.795 * * [simplify]: Extracting #9: cost 0 inf + 126307 365.828 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 365.828 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 365.829 * * * * [progress]: [ 414 / 667 ] simplifiying candidate # 365.829 * [simplify]: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 365.829 * * [simplify]: iters left: 6 (11 enodes) 365.834 * * [simplify]: iters left: 5 (40 enodes) 365.846 * * [simplify]: iters left: 4 (52 enodes) 365.861 * * [simplify]: iters left: 3 (64 enodes) 365.875 * * [simplify]: iters left: 2 (66 enodes) 365.884 * * [simplify]: Extracting #0: cost 1 inf + 0 365.884 * * [simplify]: Extracting #1: cost 12 inf + 0 365.884 * * [simplify]: Extracting #2: cost 23 inf + 1 365.884 * * [simplify]: Extracting #3: cost 27 inf + 1 365.884 * * [simplify]: Extracting #4: cost 29 inf + 1 365.884 * * [simplify]: Extracting #5: cost 28 inf + 2 365.884 * * [simplify]: Extracting #6: cost 16 inf + 1494 365.885 * * [simplify]: Extracting #7: cost 2 inf + 5277 365.886 * * [simplify]: Extracting #8: cost 0 inf + 6040 365.887 * [simplify]: Simplified to (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) 365.887 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 365.887 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 365.887 * * [simplify]: iters left: 6 (17 enodes) 365.892 * * [simplify]: iters left: 5 (68 enodes) 365.906 * * [simplify]: iters left: 4 (113 enodes) 365.945 * * [simplify]: iters left: 3 (186 enodes) 365.986 * * [simplify]: iters left: 2 (369 enodes) 366.119 * * [simplify]: Extracting #0: cost 1 inf + 0 366.119 * * [simplify]: Extracting #1: cost 89 inf + 0 366.124 * * [simplify]: Extracting #2: cost 242 inf + 0 366.125 * * [simplify]: Extracting #3: cost 315 inf + 2 366.127 * * [simplify]: Extracting #4: cost 324 inf + 262 366.129 * * [simplify]: Extracting #5: cost 299 inf + 3415 366.132 * * [simplify]: Extracting #6: cost 241 inf + 19623 366.147 * * [simplify]: Extracting #7: cost 76 inf + 133879 366.199 * * [simplify]: Extracting #8: cost 0 inf + 203744 366.249 * * [simplify]: Extracting #9: cost 0 inf + 203111 366.278 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 366.278 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 366.279 * * * * [progress]: [ 415 / 667 ] simplifiying candidate # 366.279 * [simplify]: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 366.279 * * [simplify]: iters left: 6 (12 enodes) 366.282 * * [simplify]: iters left: 5 (43 enodes) 366.290 * * [simplify]: iters left: 4 (55 enodes) 366.305 * * [simplify]: iters left: 3 (67 enodes) 366.315 * * [simplify]: iters left: 2 (69 enodes) 366.324 * * [simplify]: Extracting #0: cost 1 inf + 0 366.324 * * [simplify]: Extracting #1: cost 12 inf + 0 366.324 * * [simplify]: Extracting #2: cost 22 inf + 1 366.324 * * [simplify]: Extracting #3: cost 27 inf + 1 366.324 * * [simplify]: Extracting #4: cost 31 inf + 1 366.324 * * [simplify]: Extracting #5: cost 30 inf + 2 366.325 * * [simplify]: Extracting #6: cost 21 inf + 1011 366.325 * * [simplify]: Extracting #7: cost 4 inf + 5075 366.326 * * [simplify]: Extracting #8: cost 0 inf + 6442 366.327 * [simplify]: Simplified to (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) 366.327 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 366.327 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 366.327 * * [simplify]: iters left: 6 (18 enodes) 366.332 * * [simplify]: iters left: 5 (71 enodes) 366.345 * * [simplify]: iters left: 4 (116 enodes) 366.375 * * [simplify]: iters left: 3 (185 enodes) 366.438 * * [simplify]: iters left: 2 (363 enodes) 366.587 * * [simplify]: Extracting #0: cost 1 inf + 0 366.588 * * [simplify]: Extracting #1: cost 87 inf + 0 366.588 * * [simplify]: Extracting #2: cost 239 inf + 0 366.589 * * [simplify]: Extracting #3: cost 315 inf + 2 366.590 * * [simplify]: Extracting #4: cost 324 inf + 262 366.592 * * [simplify]: Extracting #5: cost 297 inf + 3530 366.595 * * [simplify]: Extracting #6: cost 236 inf + 20857 366.604 * * [simplify]: Extracting #7: cost 140 inf + 85835 366.625 * * [simplify]: Extracting #8: cost 29 inf + 183119 366.653 * * [simplify]: Extracting #9: cost 0 inf + 208502 366.682 * * [simplify]: Extracting #10: cost 0 inf + 208291 366.709 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 366.710 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 366.710 * * * * [progress]: [ 416 / 667 ] simplifiying candidate # 366.710 * [simplify]: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 366.710 * * [simplify]: iters left: 6 (9 enodes) 366.713 * * [simplify]: iters left: 5 (33 enodes) 366.718 * * [simplify]: iters left: 4 (45 enodes) 366.731 * * [simplify]: iters left: 3 (57 enodes) 366.747 * * [simplify]: iters left: 2 (59 enodes) 366.762 * * [simplify]: Extracting #0: cost 1 inf + 0 366.762 * * [simplify]: Extracting #1: cost 12 inf + 0 366.762 * * [simplify]: Extracting #2: cost 21 inf + 1 366.762 * * [simplify]: Extracting #3: cost 23 inf + 1 366.763 * * [simplify]: Extracting #4: cost 25 inf + 1 366.763 * * [simplify]: Extracting #5: cost 24 inf + 2 366.763 * * [simplify]: Extracting #6: cost 14 inf + 1534 366.764 * * [simplify]: Extracting #7: cost 1 inf + 4435 366.768 * * [simplify]: Extracting #8: cost 0 inf + 4676 366.769 * [simplify]: Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 366.769 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 366.770 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 366.770 * * [simplify]: iters left: 6 (16 enodes) 366.778 * * [simplify]: iters left: 5 (65 enodes) 366.800 * * [simplify]: iters left: 4 (110 enodes) 366.835 * * [simplify]: iters left: 3 (184 enodes) 366.894 * * [simplify]: iters left: 2 (367 enodes) 367.056 * * [simplify]: Extracting #0: cost 1 inf + 0 367.056 * * [simplify]: Extracting #1: cost 86 inf + 0 367.057 * * [simplify]: Extracting #2: cost 238 inf + 0 367.060 * * [simplify]: Extracting #3: cost 310 inf + 2 367.062 * * [simplify]: Extracting #4: cost 320 inf + 179 367.066 * * [simplify]: Extracting #5: cost 293 inf + 2834 367.072 * * [simplify]: Extracting #6: cost 243 inf + 15192 367.094 * * [simplify]: Extracting #7: cost 114 inf + 95601 367.142 * * [simplify]: Extracting #8: cost 10 inf + 185026 367.181 * * [simplify]: Extracting #9: cost 0 inf + 193211 367.233 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 367.234 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 367.234 * * * * [progress]: [ 417 / 667 ] simplifiying candidate # 367.234 * [simplify]: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) 367.234 * * [simplify]: iters left: 6 (10 enodes) 367.243 * * [simplify]: iters left: 5 (36 enodes) 367.254 * * [simplify]: iters left: 4 (44 enodes) 367.265 * * [simplify]: iters left: 3 (46 enodes) 367.277 * * [simplify]: iters left: 2 (52 enodes) 367.289 * * [simplify]: Extracting #0: cost 1 inf + 0 367.289 * * [simplify]: Extracting #1: cost 6 inf + 0 367.289 * * [simplify]: Extracting #2: cost 9 inf + 1 367.289 * * [simplify]: Extracting #3: cost 11 inf + 1 367.289 * * [simplify]: Extracting #4: cost 13 inf + 1 367.289 * * [simplify]: Extracting #5: cost 12 inf + 2 367.289 * * [simplify]: Extracting #6: cost 8 inf + 246 367.290 * * [simplify]: Extracting #7: cost 3 inf + 1172 367.290 * * [simplify]: Extracting #8: cost 0 inf + 1858 367.291 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 367.291 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 367.291 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 367.291 * * [simplify]: iters left: 6 (15 enodes) 367.299 * * [simplify]: iters left: 5 (62 enodes) 367.322 * * [simplify]: iters left: 4 (107 enodes) 367.356 * * [simplify]: iters left: 3 (177 enodes) 367.395 * * [simplify]: iters left: 2 (355 enodes) 367.562 * * [simplify]: Extracting #0: cost 1 inf + 0 367.562 * * [simplify]: Extracting #1: cost 88 inf + 0 367.564 * * [simplify]: Extracting #2: cost 238 inf + 0 367.566 * * [simplify]: Extracting #3: cost 310 inf + 2 367.568 * * [simplify]: Extracting #4: cost 300 inf + 2612 367.574 * * [simplify]: Extracting #5: cost 245 inf + 15121 367.603 * * [simplify]: Extracting #6: cost 67 inf + 137747 367.652 * * [simplify]: Extracting #7: cost 0 inf + 191131 367.700 * * [simplify]: Extracting #8: cost 0 inf + 189450 367.726 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 367.727 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 367.727 * * * * [progress]: [ 418 / 667 ] simplifiying candidate # 367.727 * [simplify]: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 367.727 * * [simplify]: iters left: 6 (9 enodes) 367.729 * * [simplify]: iters left: 5 (33 enodes) 367.734 * * [simplify]: iters left: 4 (45 enodes) 367.747 * * [simplify]: iters left: 3 (57 enodes) 367.761 * * [simplify]: iters left: 2 (59 enodes) 367.769 * * [simplify]: Extracting #0: cost 1 inf + 0 367.769 * * [simplify]: Extracting #1: cost 12 inf + 0 367.769 * * [simplify]: Extracting #2: cost 21 inf + 1 367.769 * * [simplify]: Extracting #3: cost 23 inf + 1 367.769 * * [simplify]: Extracting #4: cost 25 inf + 1 367.769 * * [simplify]: Extracting #5: cost 24 inf + 2 367.770 * * [simplify]: Extracting #6: cost 14 inf + 1534 367.770 * * [simplify]: Extracting #7: cost 1 inf + 4435 367.771 * * [simplify]: Extracting #8: cost 0 inf + 4676 367.772 * [simplify]: Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 367.772 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 367.772 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 367.772 * * [simplify]: iters left: 6 (16 enodes) 367.776 * * [simplify]: iters left: 5 (65 enodes) 367.788 * * [simplify]: iters left: 4 (110 enodes) 367.824 * * [simplify]: iters left: 3 (184 enodes) 367.866 * * [simplify]: iters left: 2 (367 enodes) 368.002 * * [simplify]: Extracting #0: cost 1 inf + 0 368.002 * * [simplify]: Extracting #1: cost 86 inf + 0 368.007 * * [simplify]: Extracting #2: cost 238 inf + 0 368.008 * * [simplify]: Extracting #3: cost 310 inf + 2 368.009 * * [simplify]: Extracting #4: cost 320 inf + 179 368.011 * * [simplify]: Extracting #5: cost 293 inf + 2834 368.014 * * [simplify]: Extracting #6: cost 243 inf + 15192 368.024 * * [simplify]: Extracting #7: cost 114 inf + 95601 368.066 * * [simplify]: Extracting #8: cost 10 inf + 185026 368.119 * * [simplify]: Extracting #9: cost 0 inf + 193211 368.173 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 368.174 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 368.174 * * * * [progress]: [ 419 / 667 ] simplifiying candidate # 368.174 * [simplify]: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 368.174 * * [simplify]: iters left: 6 (9 enodes) 368.180 * * [simplify]: iters left: 5 (33 enodes) 368.190 * * [simplify]: iters left: 4 (41 enodes) 368.200 * * [simplify]: iters left: 3 (43 enodes) 368.212 * * [simplify]: iters left: 2 (49 enodes) 368.223 * * [simplify]: Extracting #0: cost 1 inf + 0 368.223 * * [simplify]: Extracting #1: cost 6 inf + 0 368.223 * * [simplify]: Extracting #2: cost 9 inf + 1 368.223 * * [simplify]: Extracting #3: cost 11 inf + 1 368.223 * * [simplify]: Extracting #4: cost 13 inf + 1 368.223 * * [simplify]: Extracting #5: cost 12 inf + 2 368.223 * * [simplify]: Extracting #6: cost 10 inf + 124 368.223 * * [simplify]: Extracting #7: cost 4 inf + 971 368.224 * * [simplify]: Extracting #8: cost 0 inf + 1858 368.225 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 368.225 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 368.225 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 368.225 * * [simplify]: iters left: 6 (15 enodes) 368.232 * * [simplify]: iters left: 5 (62 enodes) 368.243 * * [simplify]: iters left: 4 (107 enodes) 368.261 * * [simplify]: iters left: 3 (177 enodes) 368.305 * * [simplify]: iters left: 2 (355 enodes) 368.436 * * [simplify]: Extracting #0: cost 1 inf + 0 368.436 * * [simplify]: Extracting #1: cost 88 inf + 0 368.437 * * [simplify]: Extracting #2: cost 238 inf + 0 368.438 * * [simplify]: Extracting #3: cost 310 inf + 2 368.439 * * [simplify]: Extracting #4: cost 300 inf + 2612 368.442 * * [simplify]: Extracting #5: cost 245 inf + 15121 368.462 * * [simplify]: Extracting #6: cost 67 inf + 137747 368.510 * * [simplify]: Extracting #7: cost 0 inf + 191131 368.560 * * [simplify]: Extracting #8: cost 0 inf + 189450 368.606 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 368.606 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 368.606 * * * * [progress]: [ 420 / 667 ] simplifiying candidate # 368.607 * [simplify]: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 368.607 * * [simplify]: iters left: 6 (9 enodes) 368.609 * * [simplify]: iters left: 5 (33 enodes) 368.616 * * [simplify]: iters left: 4 (45 enodes) 368.623 * * [simplify]: iters left: 3 (57 enodes) 368.632 * * [simplify]: iters left: 2 (59 enodes) 368.640 * * [simplify]: Extracting #0: cost 1 inf + 0 368.640 * * [simplify]: Extracting #1: cost 12 inf + 0 368.640 * * [simplify]: Extracting #2: cost 21 inf + 1 368.640 * * [simplify]: Extracting #3: cost 23 inf + 1 368.640 * * [simplify]: Extracting #4: cost 25 inf + 1 368.640 * * [simplify]: Extracting #5: cost 24 inf + 2 368.640 * * [simplify]: Extracting #6: cost 14 inf + 1534 368.641 * * [simplify]: Extracting #7: cost 1 inf + 4435 368.641 * * [simplify]: Extracting #8: cost 0 inf + 4676 368.642 * [simplify]: Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 368.642 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 368.642 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 368.643 * * [simplify]: iters left: 6 (16 enodes) 368.647 * * [simplify]: iters left: 5 (65 enodes) 368.670 * * [simplify]: iters left: 4 (110 enodes) 368.705 * * [simplify]: iters left: 3 (184 enodes) 368.773 * * [simplify]: iters left: 2 (367 enodes) 368.882 * * [simplify]: Extracting #0: cost 1 inf + 0 368.882 * * [simplify]: Extracting #1: cost 86 inf + 0 368.883 * * [simplify]: Extracting #2: cost 238 inf + 0 368.884 * * [simplify]: Extracting #3: cost 310 inf + 2 368.885 * * [simplify]: Extracting #4: cost 320 inf + 179 368.887 * * [simplify]: Extracting #5: cost 293 inf + 2834 368.890 * * [simplify]: Extracting #6: cost 243 inf + 15192 368.907 * * [simplify]: Extracting #7: cost 114 inf + 95601 368.941 * * [simplify]: Extracting #8: cost 10 inf + 185026 368.980 * * [simplify]: Extracting #9: cost 0 inf + 193211 369.007 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 369.007 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 369.008 * * * * [progress]: [ 421 / 667 ] simplifiying candidate # 369.008 * [simplify]: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 369.008 * * [simplify]: iters left: 6 (8 enodes) 369.010 * * [simplify]: iters left: 5 (28 enodes) 369.015 * * [simplify]: iters left: 4 (38 enodes) 369.023 * * [simplify]: iters left: 3 (46 enodes) 369.029 * * [simplify]: Extracting #0: cost 1 inf + 0 369.029 * * [simplify]: Extracting #1: cost 6 inf + 0 369.029 * * [simplify]: Extracting #2: cost 9 inf + 1 369.030 * * [simplify]: Extracting #3: cost 11 inf + 1 369.030 * * [simplify]: Extracting #4: cost 13 inf + 1 369.030 * * [simplify]: Extracting #5: cost 12 inf + 2 369.030 * * [simplify]: Extracting #6: cost 9 inf + 165 369.030 * * [simplify]: Extracting #7: cost 0 inf + 1858 369.030 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 369.030 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 369.030 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 369.031 * * [simplify]: iters left: 6 (15 enodes) 369.035 * * [simplify]: iters left: 5 (62 enodes) 369.055 * * [simplify]: iters left: 4 (107 enodes) 369.089 * * [simplify]: iters left: 3 (177 enodes) 369.122 * * [simplify]: iters left: 2 (355 enodes) 369.276 * * [simplify]: Extracting #0: cost 1 inf + 0 369.276 * * [simplify]: Extracting #1: cost 88 inf + 0 369.278 * * [simplify]: Extracting #2: cost 238 inf + 0 369.280 * * [simplify]: Extracting #3: cost 310 inf + 2 369.283 * * [simplify]: Extracting #4: cost 300 inf + 2612 369.288 * * [simplify]: Extracting #5: cost 245 inf + 15121 369.318 * * [simplify]: Extracting #6: cost 67 inf + 137747 369.360 * * [simplify]: Extracting #7: cost 0 inf + 191131 369.389 * * [simplify]: Extracting #8: cost 0 inf + 189450 369.426 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 369.426 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 369.426 * * * * [progress]: [ 422 / 667 ] simplifiying candidate # 369.426 * [simplify]: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 369.427 * * [simplify]: iters left: 6 (11 enodes) 369.429 * * [simplify]: iters left: 5 (40 enodes) 369.436 * * [simplify]: iters left: 4 (52 enodes) 369.443 * * [simplify]: iters left: 3 (61 enodes) 369.455 * * [simplify]: iters left: 2 (64 enodes) 369.471 * * [simplify]: Extracting #0: cost 1 inf + 0 369.471 * * [simplify]: Extracting #1: cost 10 inf + 0 369.472 * * [simplify]: Extracting #2: cost 21 inf + 1 369.472 * * [simplify]: Extracting #3: cost 27 inf + 1 369.472 * * [simplify]: Extracting #4: cost 29 inf + 1 369.472 * * [simplify]: Extracting #5: cost 28 inf + 2 369.472 * * [simplify]: Extracting #6: cost 15 inf + 1696 369.474 * * [simplify]: Extracting #7: cost 2 inf + 5277 369.475 * * [simplify]: Extracting #8: cost 0 inf + 6040 369.479 * [simplify]: Simplified to (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 369.479 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 369.479 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 369.480 * * [simplify]: iters left: 6 (17 enodes) 369.488 * * [simplify]: iters left: 5 (68 enodes) 369.505 * * [simplify]: iters left: 4 (113 enodes) 369.524 * * [simplify]: iters left: 3 (186 enodes) 369.576 * * [simplify]: iters left: 2 (369 enodes) 369.741 * * [simplify]: Extracting #0: cost 1 inf + 0 369.741 * * [simplify]: Extracting #1: cost 89 inf + 0 369.742 * * [simplify]: Extracting #2: cost 242 inf + 0 369.745 * * [simplify]: Extracting #3: cost 315 inf + 2 369.747 * * [simplify]: Extracting #4: cost 324 inf + 262 369.750 * * [simplify]: Extracting #5: cost 299 inf + 3375 369.757 * * [simplify]: Extracting #6: cost 241 inf + 19583 369.786 * * [simplify]: Extracting #7: cost 76 inf + 133879 369.828 * * [simplify]: Extracting #8: cost 0 inf + 203744 369.868 * * [simplify]: Extracting #9: cost 0 inf + 203111 369.922 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 369.922 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 369.922 * * * * [progress]: [ 423 / 667 ] simplifiying candidate # 369.922 * [simplify]: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 369.923 * * [simplify]: iters left: 6 (8 enodes) 369.927 * * [simplify]: iters left: 5 (29 enodes) 369.935 * * [simplify]: iters left: 4 (31 enodes) 369.943 * * [simplify]: Extracting #0: cost 1 inf + 0 369.943 * * [simplify]: Extracting #1: cost 6 inf + 0 369.944 * * [simplify]: Extracting #2: cost 9 inf + 1 369.944 * * [simplify]: Extracting #3: cost 11 inf + 1 369.944 * * [simplify]: Extracting #4: cost 13 inf + 1 369.944 * * [simplify]: Extracting #5: cost 12 inf + 2 369.944 * * [simplify]: Extracting #6: cost 8 inf + 366 369.944 * * [simplify]: Extracting #7: cost 2 inf + 1415 369.945 * * [simplify]: Extracting #8: cost 0 inf + 1778 369.945 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 369.946 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 369.946 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 369.946 * * [simplify]: iters left: 6 (15 enodes) 369.954 * * [simplify]: iters left: 5 (62 enodes) 369.974 * * [simplify]: iters left: 4 (99 enodes) 370.007 * * [simplify]: iters left: 3 (152 enodes) 370.034 * * [simplify]: iters left: 2 (268 enodes) 370.113 * * [simplify]: Extracting #0: cost 1 inf + 0 370.113 * * [simplify]: Extracting #1: cost 50 inf + 0 370.114 * * [simplify]: Extracting #2: cost 130 inf + 0 370.114 * * [simplify]: Extracting #3: cost 193 inf + 2 370.115 * * [simplify]: Extracting #4: cost 178 inf + 3404 370.118 * * [simplify]: Extracting #5: cost 123 inf + 16528 370.127 * * [simplify]: Extracting #6: cost 28 inf + 81781 370.140 * * [simplify]: Extracting #7: cost 2 inf + 103447 370.158 * * [simplify]: Extracting #8: cost 0 inf + 104709 370.189 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 370.189 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 370.189 * * * * [progress]: [ 424 / 667 ] simplifiying candidate # 370.189 * [simplify]: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 370.189 * * [simplify]: iters left: 6 (12 enodes) 370.195 * * [simplify]: iters left: 5 (42 enodes) 370.207 * * [simplify]: iters left: 4 (49 enodes) 370.217 * * [simplify]: iters left: 3 (51 enodes) 370.224 * * [simplify]: Extracting #0: cost 1 inf + 0 370.225 * * [simplify]: Extracting #1: cost 8 inf + 0 370.225 * * [simplify]: Extracting #2: cost 15 inf + 1 370.225 * * [simplify]: Extracting #3: cost 21 inf + 1 370.225 * * [simplify]: Extracting #4: cost 25 inf + 1 370.225 * * [simplify]: Extracting #5: cost 24 inf + 2 370.225 * * [simplify]: Extracting #6: cost 12 inf + 1334 370.225 * * [simplify]: Extracting #7: cost 3 inf + 3548 370.226 * * [simplify]: Extracting #8: cost 0 inf + 4272 370.226 * [simplify]: Simplified to (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (fabs (cbrt k)))) 370.226 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 370.227 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 370.227 * * [simplify]: iters left: 6 (18 enodes) 370.232 * * [simplify]: iters left: 5 (71 enodes) 370.245 * * [simplify]: iters left: 4 (116 enodes) 370.281 * * [simplify]: iters left: 3 (185 enodes) 370.324 * * [simplify]: iters left: 2 (363 enodes) 370.472 * * [simplify]: Extracting #0: cost 1 inf + 0 370.472 * * [simplify]: Extracting #1: cost 87 inf + 0 370.473 * * [simplify]: Extracting #2: cost 239 inf + 0 370.475 * * [simplify]: Extracting #3: cost 315 inf + 2 370.478 * * [simplify]: Extracting #4: cost 324 inf + 262 370.481 * * [simplify]: Extracting #5: cost 297 inf + 3570 370.488 * * [simplify]: Extracting #6: cost 236 inf + 20937 370.506 * * [simplify]: Extracting #7: cost 140 inf + 85915 370.539 * * [simplify]: Extracting #8: cost 29 inf + 183199 370.574 * * [simplify]: Extracting #9: cost 0 inf + 208582 370.615 * * [simplify]: Extracting #10: cost 0 inf + 208371 370.657 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 370.657 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 370.658 * * * * [progress]: [ 425 / 667 ] simplifiying candidate # 370.658 * [simplify]: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 370.658 * * [simplify]: iters left: 6 (10 enodes) 370.663 * * [simplify]: iters left: 5 (35 enodes) 370.674 * * [simplify]: iters left: 4 (42 enodes) 370.685 * * [simplify]: iters left: 3 (44 enodes) 370.697 * * [simplify]: Extracting #0: cost 1 inf + 0 370.697 * * [simplify]: Extracting #1: cost 8 inf + 0 370.697 * * [simplify]: Extracting #2: cost 15 inf + 1 370.697 * * [simplify]: Extracting #3: cost 19 inf + 1 370.697 * * [simplify]: Extracting #4: cost 21 inf + 1 370.697 * * [simplify]: Extracting #5: cost 20 inf + 2 370.697 * * [simplify]: Extracting #6: cost 17 inf + 245 370.698 * * [simplify]: Extracting #7: cost 5 inf + 2259 370.699 * * [simplify]: Extracting #8: cost 0 inf + 3308 370.700 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 370.700 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 370.700 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 370.700 * * [simplify]: iters left: 6 (17 enodes) 370.709 * * [simplify]: iters left: 5 (68 enodes) 370.722 * * [simplify]: iters left: 4 (113 enodes) 370.741 * * [simplify]: iters left: 3 (186 enodes) 370.781 * * [simplify]: iters left: 2 (369 enodes) 370.898 * * [simplify]: Extracting #0: cost 1 inf + 0 370.898 * * [simplify]: Extracting #1: cost 89 inf + 0 370.900 * * [simplify]: Extracting #2: cost 242 inf + 0 370.902 * * [simplify]: Extracting #3: cost 315 inf + 2 370.904 * * [simplify]: Extracting #4: cost 324 inf + 262 370.908 * * [simplify]: Extracting #5: cost 299 inf + 3375 370.914 * * [simplify]: Extracting #6: cost 241 inf + 19343 370.941 * * [simplify]: Extracting #7: cost 76 inf + 130639 370.972 * * [simplify]: Extracting #8: cost 0 inf + 198704 371.026 * * [simplify]: Extracting #9: cost 0 inf + 198071 371.080 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 371.080 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 371.080 * * * * [progress]: [ 426 / 667 ] simplifiying candidate # 371.082 * [simplify]: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) 371.083 * * [simplify]: iters left: 6 (10 enodes) 371.088 * * [simplify]: iters left: 5 (35 enodes) 371.094 * * [simplify]: iters left: 4 (39 enodes) 371.099 * * [simplify]: iters left: 3 (43 enodes) 371.105 * * [simplify]: Extracting #0: cost 1 inf + 0 371.105 * * [simplify]: Extracting #1: cost 4 inf + 0 371.106 * * [simplify]: Extracting #2: cost 6 inf + 1 371.106 * * [simplify]: Extracting #3: cost 9 inf + 1 371.106 * * [simplify]: Extracting #4: cost 11 inf + 1 371.106 * * [simplify]: Extracting #5: cost 0 inf + 1374 371.106 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 371.106 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 371.106 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 371.106 * * [simplify]: iters left: 6 (16 enodes) 371.111 * * [simplify]: iters left: 5 (65 enodes) 371.124 * * [simplify]: iters left: 4 (110 enodes) 371.155 * * [simplify]: iters left: 3 (184 enodes) 371.208 * * [simplify]: iters left: 2 (367 enodes) 371.356 * * [simplify]: Extracting #0: cost 1 inf + 0 371.357 * * [simplify]: Extracting #1: cost 86 inf + 0 371.357 * * [simplify]: Extracting #2: cost 239 inf + 0 371.359 * * [simplify]: Extracting #3: cost 312 inf + 2 371.360 * * [simplify]: Extracting #4: cost 297 inf + 2611 371.365 * * [simplify]: Extracting #5: cost 222 inf + 28946 371.382 * * [simplify]: Extracting #6: cost 102 inf + 105358 371.411 * * [simplify]: Extracting #7: cost 10 inf + 182586 371.458 * * [simplify]: Extracting #8: cost 0 inf + 190651 371.484 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 371.484 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 371.485 * * * * [progress]: [ 427 / 667 ] simplifiying candidate # 371.485 * [simplify]: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 371.485 * * [simplify]: iters left: 6 (10 enodes) 371.488 * * [simplify]: iters left: 5 (35 enodes) 371.499 * * [simplify]: iters left: 4 (42 enodes) 371.511 * * [simplify]: iters left: 3 (44 enodes) 371.522 * * [simplify]: Extracting #0: cost 1 inf + 0 371.522 * * [simplify]: Extracting #1: cost 8 inf + 0 371.522 * * [simplify]: Extracting #2: cost 15 inf + 1 371.523 * * [simplify]: Extracting #3: cost 19 inf + 1 371.523 * * [simplify]: Extracting #4: cost 21 inf + 1 371.523 * * [simplify]: Extracting #5: cost 20 inf + 2 371.523 * * [simplify]: Extracting #6: cost 17 inf + 245 371.523 * * [simplify]: Extracting #7: cost 5 inf + 2259 371.525 * * [simplify]: Extracting #8: cost 0 inf + 3308 371.525 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 371.526 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 371.526 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 371.526 * * [simplify]: iters left: 6 (17 enodes) 371.537 * * [simplify]: iters left: 5 (68 enodes) 371.559 * * [simplify]: iters left: 4 (113 enodes) 371.594 * * [simplify]: iters left: 3 (186 enodes) 371.660 * * [simplify]: iters left: 2 (369 enodes) 371.837 * * [simplify]: Extracting #0: cost 1 inf + 0 371.837 * * [simplify]: Extracting #1: cost 89 inf + 0 371.838 * * [simplify]: Extracting #2: cost 242 inf + 0 371.839 * * [simplify]: Extracting #3: cost 315 inf + 2 371.840 * * [simplify]: Extracting #4: cost 324 inf + 262 371.842 * * [simplify]: Extracting #5: cost 299 inf + 3375 371.846 * * [simplify]: Extracting #6: cost 241 inf + 19343 371.867 * * [simplify]: Extracting #7: cost 76 inf + 130639 371.895 * * [simplify]: Extracting #8: cost 0 inf + 198704 371.943 * * [simplify]: Extracting #9: cost 0 inf + 198071 371.995 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 371.995 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 371.996 * * * * [progress]: [ 428 / 667 ] simplifiying candidate # 371.996 * [simplify]: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 371.996 * * [simplify]: iters left: 6 (9 enodes) 372.002 * * [simplify]: iters left: 5 (32 enodes) 372.013 * * [simplify]: iters left: 4 (36 enodes) 372.022 * * [simplify]: iters left: 3 (40 enodes) 372.031 * * [simplify]: Extracting #0: cost 1 inf + 0 372.031 * * [simplify]: Extracting #1: cost 4 inf + 0 372.031 * * [simplify]: Extracting #2: cost 6 inf + 1 372.031 * * [simplify]: Extracting #3: cost 9 inf + 1 372.031 * * [simplify]: Extracting #4: cost 11 inf + 1 372.032 * * [simplify]: Extracting #5: cost 0 inf + 1374 372.032 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 372.032 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 372.033 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 372.033 * * [simplify]: iters left: 6 (16 enodes) 372.041 * * [simplify]: iters left: 5 (65 enodes) 372.066 * * [simplify]: iters left: 4 (110 enodes) 372.100 * * [simplify]: iters left: 3 (184 enodes) 372.144 * * [simplify]: iters left: 2 (367 enodes) 372.295 * * [simplify]: Extracting #0: cost 1 inf + 0 372.295 * * [simplify]: Extracting #1: cost 86 inf + 0 372.296 * * [simplify]: Extracting #2: cost 239 inf + 0 372.299 * * [simplify]: Extracting #3: cost 312 inf + 2 372.302 * * [simplify]: Extracting #4: cost 297 inf + 2611 372.310 * * [simplify]: Extracting #5: cost 222 inf + 28946 372.334 * * [simplify]: Extracting #6: cost 102 inf + 105358 372.366 * * [simplify]: Extracting #7: cost 10 inf + 182586 372.401 * * [simplify]: Extracting #8: cost 0 inf + 190651 372.437 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 372.437 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 372.437 * * * * [progress]: [ 429 / 667 ] simplifiying candidate # 372.437 * [simplify]: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 372.437 * * [simplify]: iters left: 6 (10 enodes) 372.440 * * [simplify]: iters left: 5 (35 enodes) 372.446 * * [simplify]: iters left: 4 (42 enodes) 372.452 * * [simplify]: iters left: 3 (44 enodes) 372.461 * * [simplify]: Extracting #0: cost 1 inf + 0 372.461 * * [simplify]: Extracting #1: cost 8 inf + 0 372.461 * * [simplify]: Extracting #2: cost 15 inf + 1 372.461 * * [simplify]: Extracting #3: cost 19 inf + 1 372.461 * * [simplify]: Extracting #4: cost 21 inf + 1 372.461 * * [simplify]: Extracting #5: cost 20 inf + 2 372.461 * * [simplify]: Extracting #6: cost 17 inf + 245 372.462 * * [simplify]: Extracting #7: cost 5 inf + 2259 372.463 * * [simplify]: Extracting #8: cost 0 inf + 3308 372.464 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 372.464 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 372.464 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 372.464 * * [simplify]: iters left: 6 (17 enodes) 372.472 * * [simplify]: iters left: 5 (68 enodes) 372.483 * * [simplify]: iters left: 4 (113 enodes) 372.505 * * [simplify]: iters left: 3 (186 enodes) 372.565 * * [simplify]: iters left: 2 (369 enodes) 372.713 * * [simplify]: Extracting #0: cost 1 inf + 0 372.714 * * [simplify]: Extracting #1: cost 89 inf + 0 372.715 * * [simplify]: Extracting #2: cost 242 inf + 0 372.717 * * [simplify]: Extracting #3: cost 315 inf + 2 372.720 * * [simplify]: Extracting #4: cost 324 inf + 262 372.723 * * [simplify]: Extracting #5: cost 299 inf + 3375 372.736 * * [simplify]: Extracting #6: cost 241 inf + 19343 372.764 * * [simplify]: Extracting #7: cost 76 inf + 130639 372.816 * * [simplify]: Extracting #8: cost 0 inf + 198704 372.870 * * [simplify]: Extracting #9: cost 0 inf + 198071 372.926 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 372.926 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 372.926 * * * * [progress]: [ 430 / 667 ] simplifiying candidate # 372.926 * [simplify]: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 372.926 * * [simplify]: iters left: 6 (8 enodes) 372.929 * * [simplify]: iters left: 5 (27 enodes) 372.933 * * [simplify]: iters left: 4 (32 enodes) 372.938 * * [simplify]: iters left: 3 (36 enodes) 372.942 * * [simplify]: Extracting #0: cost 1 inf + 0 372.942 * * [simplify]: Extracting #1: cost 4 inf + 0 372.942 * * [simplify]: Extracting #2: cost 6 inf + 1 372.942 * * [simplify]: Extracting #3: cost 9 inf + 1 372.942 * * [simplify]: Extracting #4: cost 11 inf + 1 372.943 * * [simplify]: Extracting #5: cost 10 inf + 2 372.943 * * [simplify]: Extracting #6: cost 2 inf + 1051 372.943 * * [simplify]: Extracting #7: cost 0 inf + 1374 372.943 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 372.943 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 372.943 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 372.943 * * [simplify]: iters left: 6 (16 enodes) 372.948 * * [simplify]: iters left: 5 (65 enodes) 372.962 * * [simplify]: iters left: 4 (110 enodes) 372.997 * * [simplify]: iters left: 3 (184 enodes) 373.052 * * [simplify]: iters left: 2 (367 enodes) 373.193 * * [simplify]: Extracting #0: cost 1 inf + 0 373.194 * * [simplify]: Extracting #1: cost 86 inf + 0 373.195 * * [simplify]: Extracting #2: cost 239 inf + 0 373.197 * * [simplify]: Extracting #3: cost 312 inf + 2 373.200 * * [simplify]: Extracting #4: cost 297 inf + 2611 373.206 * * [simplify]: Extracting #5: cost 222 inf + 28946 373.218 * * [simplify]: Extracting #6: cost 102 inf + 105358 373.259 * * [simplify]: Extracting #7: cost 10 inf + 182586 373.311 * * [simplify]: Extracting #8: cost 0 inf + 190651 373.342 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 373.342 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 373.342 * * * * [progress]: [ 431 / 667 ] simplifiying candidate # 373.343 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 373.343 * * [simplify]: iters left: 6 (12 enodes) 373.346 * * [simplify]: iters left: 5 (43 enodes) 373.352 * * [simplify]: iters left: 4 (55 enodes) 373.362 * * [simplify]: iters left: 3 (64 enodes) 373.371 * * [simplify]: iters left: 2 (67 enodes) 373.381 * * [simplify]: Extracting #0: cost 1 inf + 0 373.381 * * [simplify]: Extracting #1: cost 10 inf + 0 373.381 * * [simplify]: Extracting #2: cost 20 inf + 1 373.382 * * [simplify]: Extracting #3: cost 27 inf + 1 373.382 * * [simplify]: Extracting #4: cost 31 inf + 1 373.382 * * [simplify]: Extracting #5: cost 30 inf + 2 373.382 * * [simplify]: Extracting #6: cost 19 inf + 1693 373.384 * * [simplify]: Extracting #7: cost 2 inf + 5798 373.385 * * [simplify]: Extracting #8: cost 0 inf + 6442 373.387 * [simplify]: Simplified to (/ (/ 1 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 373.387 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))))) 373.388 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) 373.388 * * [simplify]: iters left: 6 (18 enodes) 373.397 * * [simplify]: iters left: 5 (71 enodes) 373.421 * * [simplify]: iters left: 4 (116 enodes) 373.446 * * [simplify]: iters left: 3 (185 enodes) 373.496 * * [simplify]: iters left: 2 (363 enodes) 373.674 * * [simplify]: Extracting #0: cost 1 inf + 0 373.675 * * [simplify]: Extracting #1: cost 87 inf + 0 373.676 * * [simplify]: Extracting #2: cost 239 inf + 0 373.678 * * [simplify]: Extracting #3: cost 315 inf + 2 373.680 * * [simplify]: Extracting #4: cost 324 inf + 262 373.683 * * [simplify]: Extracting #5: cost 297 inf + 3570 373.690 * * [simplify]: Extracting #6: cost 236 inf + 20897 373.708 * * [simplify]: Extracting #7: cost 140 inf + 85835 373.755 * * [simplify]: Extracting #8: cost 29 inf + 183119 373.810 * * [simplify]: Extracting #9: cost 0 inf + 208502 373.864 * * [simplify]: Extracting #10: cost 0 inf + 208291 373.918 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) 373.918 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))))) 373.918 * * * * [progress]: [ 432 / 667 ] simplifiying candidate # 373.918 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 373.918 * * [simplify]: iters left: 6 (12 enodes) 373.921 * * [simplify]: iters left: 5 (42 enodes) 373.930 * * [simplify]: iters left: 4 (49 enodes) 373.945 * * [simplify]: iters left: 3 (51 enodes) 373.958 * * [simplify]: Extracting #0: cost 1 inf + 0 373.958 * * [simplify]: Extracting #1: cost 8 inf + 0 373.958 * * [simplify]: Extracting #2: cost 15 inf + 1 373.958 * * [simplify]: Extracting #3: cost 21 inf + 1 373.958 * * [simplify]: Extracting #4: cost 25 inf + 1 373.959 * * [simplify]: Extracting #5: cost 24 inf + 2 373.959 * * [simplify]: Extracting #6: cost 12 inf + 1294 373.960 * * [simplify]: Extracting #7: cost 3 inf + 3548 373.961 * * [simplify]: Extracting #8: cost 0 inf + 4272 373.962 * [simplify]: Simplified to (/ (/ 1 (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) 373.962 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))))) 373.962 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) 373.964 * * [simplify]: iters left: 6 (18 enodes) 373.973 * * [simplify]: iters left: 5 (71 enodes) 373.986 * * [simplify]: iters left: 4 (116 enodes) 374.006 * * [simplify]: iters left: 3 (185 enodes) 374.072 * * [simplify]: iters left: 2 (363 enodes) 374.168 * * [simplify]: Extracting #0: cost 1 inf + 0 374.169 * * [simplify]: Extracting #1: cost 87 inf + 0 374.169 * * [simplify]: Extracting #2: cost 239 inf + 0 374.170 * * [simplify]: Extracting #3: cost 315 inf + 2 374.172 * * [simplify]: Extracting #4: cost 324 inf + 262 374.173 * * [simplify]: Extracting #5: cost 297 inf + 3570 374.177 * * [simplify]: Extracting #6: cost 236 inf + 20937 374.199 * * [simplify]: Extracting #7: cost 140 inf + 85915 374.241 * * [simplify]: Extracting #8: cost 29 inf + 183199 374.295 * * [simplify]: Extracting #9: cost 0 inf + 208582 374.350 * * [simplify]: Extracting #10: cost 0 inf + 208371 374.380 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) 374.380 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))))) 374.380 * * * * [progress]: [ 433 / 667 ] simplifiying candidate # 374.381 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 374.381 * * [simplify]: iters left: 6 (8 enodes) 374.383 * * [simplify]: iters left: 5 (29 enodes) 374.388 * * [simplify]: iters left: 4 (31 enodes) 374.397 * * [simplify]: iters left: 3 (32 enodes) 374.406 * * [simplify]: Extracting #0: cost 1 inf + 0 374.407 * * [simplify]: Extracting #1: cost 6 inf + 0 374.407 * * [simplify]: Extracting #2: cost 10 inf + 1 374.407 * * [simplify]: Extracting #3: cost 13 inf + 1 374.407 * * [simplify]: Extracting #4: cost 12 inf + 2 374.407 * * [simplify]: Extracting #5: cost 6 inf + 729 374.407 * * [simplify]: Extracting #6: cost 0 inf + 1698 374.408 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 374.408 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))))) 374.408 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) 374.408 * * [simplify]: iters left: 6 (15 enodes) 374.416 * * [simplify]: iters left: 5 (62 enodes) 374.430 * * [simplify]: iters left: 4 (99 enodes) 374.446 * * [simplify]: iters left: 3 (152 enodes) 374.497 * * [simplify]: iters left: 2 (268 enodes) 374.594 * * [simplify]: Extracting #0: cost 1 inf + 0 374.594 * * [simplify]: Extracting #1: cost 50 inf + 0 374.594 * * [simplify]: Extracting #2: cost 130 inf + 0 374.596 * * [simplify]: Extracting #3: cost 193 inf + 2 374.597 * * [simplify]: Extracting #4: cost 178 inf + 3444 374.602 * * [simplify]: Extracting #5: cost 123 inf + 16608 374.617 * * [simplify]: Extracting #6: cost 28 inf + 81861 374.630 * * [simplify]: Extracting #7: cost 2 inf + 103527 374.643 * * [simplify]: Extracting #8: cost 0 inf + 104789 374.664 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 374.664 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 374.664 * * * * [progress]: [ 434 / 667 ] simplifiying candidate # 374.664 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 374.664 * * [simplify]: iters left: 6 (11 enodes) 374.669 * * [simplify]: iters left: 5 (38 enodes) 374.681 * * [simplify]: iters left: 4 (45 enodes) 374.694 * * [simplify]: iters left: 3 (47 enodes) 374.706 * * [simplify]: Extracting #0: cost 1 inf + 0 374.707 * * [simplify]: Extracting #1: cost 8 inf + 0 374.707 * * [simplify]: Extracting #2: cost 14 inf + 1 374.707 * * [simplify]: Extracting #3: cost 19 inf + 1 374.707 * * [simplify]: Extracting #4: cost 23 inf + 1 374.707 * * [simplify]: Extracting #5: cost 22 inf + 2 374.707 * * [simplify]: Extracting #6: cost 10 inf + 1254 374.708 * * [simplify]: Extracting #7: cost 2 inf + 3067 374.709 * * [simplify]: Extracting #8: cost 0 inf + 3550 374.712 * [simplify]: Simplified to (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) 374.712 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 374.713 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 374.713 * * [simplify]: iters left: 6 (18 enodes) 374.722 * * [simplify]: iters left: 5 (71 enodes) 374.745 * * [simplify]: iters left: 4 (116 enodes) 374.773 * * [simplify]: iters left: 3 (185 enodes) 374.820 * * [simplify]: iters left: 2 (363 enodes) 374.962 * * [simplify]: Extracting #0: cost 1 inf + 0 374.962 * * [simplify]: Extracting #1: cost 87 inf + 0 374.963 * * [simplify]: Extracting #2: cost 239 inf + 0 374.964 * * [simplify]: Extracting #3: cost 315 inf + 2 374.965 * * [simplify]: Extracting #4: cost 324 inf + 262 374.967 * * [simplify]: Extracting #5: cost 297 inf + 3570 374.970 * * [simplify]: Extracting #6: cost 236 inf + 20897 374.979 * * [simplify]: Extracting #7: cost 140 inf + 85555 375.000 * * [simplify]: Extracting #8: cost 29 inf + 179239 375.030 * * [simplify]: Extracting #9: cost 0 inf + 203462 375.086 * * [simplify]: Extracting #10: cost 0 inf + 203251 375.118 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 375.118 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 375.118 * * * * [progress]: [ 435 / 667 ] simplifiying candidate # 375.118 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) 375.118 * * [simplify]: iters left: 6 (10 enodes) 375.122 * * [simplify]: iters left: 5 (35 enodes) 375.130 * * [simplify]: iters left: 4 (39 enodes) 375.139 * * [simplify]: iters left: 3 (43 enodes) 375.151 * * [simplify]: Extracting #0: cost 1 inf + 0 375.151 * * [simplify]: Extracting #1: cost 4 inf + 0 375.151 * * [simplify]: Extracting #2: cost 5 inf + 1 375.151 * * [simplify]: Extracting #3: cost 8 inf + 1 375.151 * * [simplify]: Extracting #4: cost 11 inf + 1 375.151 * * [simplify]: Extracting #5: cost 10 inf + 2 375.152 * * [simplify]: Extracting #6: cost 1 inf + 1293 375.152 * * [simplify]: Extracting #7: cost 0 inf + 1374 375.153 * [simplify]: Simplified to (/ 1 (sqrt (fabs (cbrt k)))) 375.153 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 375.153 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 375.153 * * [simplify]: iters left: 6 (17 enodes) 375.161 * * [simplify]: iters left: 5 (68 enodes) 375.173 * * [simplify]: iters left: 4 (113 enodes) 375.192 * * [simplify]: iters left: 3 (186 enodes) 375.258 * * [simplify]: iters left: 2 (369 enodes) 375.390 * * [simplify]: Extracting #0: cost 1 inf + 0 375.391 * * [simplify]: Extracting #1: cost 89 inf + 0 375.391 * * [simplify]: Extracting #2: cost 242 inf + 0 375.392 * * [simplify]: Extracting #3: cost 316 inf + 2 375.394 * * [simplify]: Extracting #4: cost 304 inf + 2834 375.397 * * [simplify]: Extracting #5: cost 244 inf + 19533 375.421 * * [simplify]: Extracting #6: cost 76 inf + 131629 375.450 * * [simplify]: Extracting #7: cost 0 inf + 198309 375.485 * * [simplify]: Extracting #8: cost 0 inf + 193280 375.514 * * [simplify]: Extracting #9: cost 0 inf + 192858 375.549 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 375.549 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 375.549 * * * * [progress]: [ 436 / 667 ] simplifiying candidate # 375.550 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 375.550 * * [simplify]: iters left: 6 (11 enodes) 375.555 * * [simplify]: iters left: 5 (38 enodes) 375.566 * * [simplify]: iters left: 4 (45 enodes) 375.572 * * [simplify]: iters left: 3 (47 enodes) 375.578 * * [simplify]: Extracting #0: cost 1 inf + 0 375.579 * * [simplify]: Extracting #1: cost 8 inf + 0 375.579 * * [simplify]: Extracting #2: cost 14 inf + 1 375.579 * * [simplify]: Extracting #3: cost 19 inf + 1 375.579 * * [simplify]: Extracting #4: cost 23 inf + 1 375.579 * * [simplify]: Extracting #5: cost 22 inf + 2 375.579 * * [simplify]: Extracting #6: cost 10 inf + 1254 375.579 * * [simplify]: Extracting #7: cost 2 inf + 3067 375.580 * * [simplify]: Extracting #8: cost 0 inf + 3550 375.580 * [simplify]: Simplified to (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) 375.580 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 375.580 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 375.581 * * [simplify]: iters left: 6 (18 enodes) 375.585 * * [simplify]: iters left: 5 (71 enodes) 375.608 * * [simplify]: iters left: 4 (116 enodes) 375.630 * * [simplify]: iters left: 3 (185 enodes) 375.687 * * [simplify]: iters left: 2 (363 enodes) 375.820 * * [simplify]: Extracting #0: cost 1 inf + 0 375.820 * * [simplify]: Extracting #1: cost 87 inf + 0 375.820 * * [simplify]: Extracting #2: cost 239 inf + 0 375.821 * * [simplify]: Extracting #3: cost 315 inf + 2 375.823 * * [simplify]: Extracting #4: cost 324 inf + 262 375.824 * * [simplify]: Extracting #5: cost 297 inf + 3570 375.828 * * [simplify]: Extracting #6: cost 236 inf + 20897 375.843 * * [simplify]: Extracting #7: cost 140 inf + 85555 375.889 * * [simplify]: Extracting #8: cost 29 inf + 179239 375.944 * * [simplify]: Extracting #9: cost 0 inf + 203462 375.991 * * [simplify]: Extracting #10: cost 0 inf + 203251 376.023 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 376.023 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 376.024 * * * * [progress]: [ 437 / 667 ] simplifiying candidate # 376.024 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) 376.024 * * [simplify]: iters left: 6 (9 enodes) 376.031 * * [simplify]: iters left: 5 (32 enodes) 376.036 * * [simplify]: iters left: 4 (36 enodes) 376.041 * * [simplify]: iters left: 3 (40 enodes) 376.046 * * [simplify]: Extracting #0: cost 1 inf + 0 376.046 * * [simplify]: Extracting #1: cost 4 inf + 0 376.046 * * [simplify]: Extracting #2: cost 5 inf + 1 376.046 * * [simplify]: Extracting #3: cost 8 inf + 1 376.046 * * [simplify]: Extracting #4: cost 11 inf + 1 376.046 * * [simplify]: Extracting #5: cost 10 inf + 2 376.046 * * [simplify]: Extracting #6: cost 2 inf + 1091 376.046 * * [simplify]: Extracting #7: cost 0 inf + 1374 376.047 * [simplify]: Simplified to (/ 1 (sqrt (fabs (cbrt k)))) 376.047 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 376.047 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 376.047 * * [simplify]: iters left: 6 (17 enodes) 376.051 * * [simplify]: iters left: 5 (68 enodes) 376.065 * * [simplify]: iters left: 4 (113 enodes) 376.087 * * [simplify]: iters left: 3 (186 enodes) 376.131 * * [simplify]: iters left: 2 (369 enodes) 376.251 * * [simplify]: Extracting #0: cost 1 inf + 0 376.252 * * [simplify]: Extracting #1: cost 89 inf + 0 376.253 * * [simplify]: Extracting #2: cost 242 inf + 0 376.255 * * [simplify]: Extracting #3: cost 316 inf + 2 376.258 * * [simplify]: Extracting #4: cost 304 inf + 2834 376.265 * * [simplify]: Extracting #5: cost 244 inf + 19533 376.291 * * [simplify]: Extracting #6: cost 76 inf + 131629 376.322 * * [simplify]: Extracting #7: cost 0 inf + 198309 376.374 * * [simplify]: Extracting #8: cost 0 inf + 193280 376.427 * * [simplify]: Extracting #9: cost 0 inf + 192858 376.460 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 376.460 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 376.460 * * * * [progress]: [ 438 / 667 ] simplifiying candidate # 376.461 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 376.461 * * [simplify]: iters left: 6 (11 enodes) 376.463 * * [simplify]: iters left: 5 (38 enodes) 376.472 * * [simplify]: iters left: 4 (45 enodes) 376.484 * * [simplify]: iters left: 3 (47 enodes) 376.497 * * [simplify]: Extracting #0: cost 1 inf + 0 376.497 * * [simplify]: Extracting #1: cost 8 inf + 0 376.497 * * [simplify]: Extracting #2: cost 14 inf + 1 376.497 * * [simplify]: Extracting #3: cost 19 inf + 1 376.497 * * [simplify]: Extracting #4: cost 23 inf + 1 376.497 * * [simplify]: Extracting #5: cost 22 inf + 2 376.498 * * [simplify]: Extracting #6: cost 10 inf + 1254 376.498 * * [simplify]: Extracting #7: cost 2 inf + 3067 376.499 * * [simplify]: Extracting #8: cost 0 inf + 3550 376.500 * [simplify]: Simplified to (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) 376.500 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 376.501 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 376.501 * * [simplify]: iters left: 6 (18 enodes) 376.511 * * [simplify]: iters left: 5 (71 enodes) 376.534 * * [simplify]: iters left: 4 (116 enodes) 376.570 * * [simplify]: iters left: 3 (185 enodes) 376.617 * * [simplify]: iters left: 2 (363 enodes) 376.734 * * [simplify]: Extracting #0: cost 1 inf + 0 376.734 * * [simplify]: Extracting #1: cost 87 inf + 0 376.735 * * [simplify]: Extracting #2: cost 239 inf + 0 376.736 * * [simplify]: Extracting #3: cost 315 inf + 2 376.738 * * [simplify]: Extracting #4: cost 324 inf + 262 376.739 * * [simplify]: Extracting #5: cost 297 inf + 3570 376.743 * * [simplify]: Extracting #6: cost 236 inf + 20897 376.751 * * [simplify]: Extracting #7: cost 140 inf + 85555 376.785 * * [simplify]: Extracting #8: cost 29 inf + 179239 376.818 * * [simplify]: Extracting #9: cost 0 inf + 203462 376.854 * * [simplify]: Extracting #10: cost 0 inf + 203251 376.898 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 376.899 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 376.899 * * * * [progress]: [ 439 / 667 ] simplifiying candidate # 376.899 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) 376.899 * * [simplify]: iters left: 6 (8 enodes) 376.903 * * [simplify]: iters left: 5 (27 enodes) 376.912 * * [simplify]: iters left: 4 (32 enodes) 376.920 * * [simplify]: iters left: 3 (36 enodes) 376.925 * * [simplify]: Extracting #0: cost 1 inf + 0 376.925 * * [simplify]: Extracting #1: cost 4 inf + 0 376.925 * * [simplify]: Extracting #2: cost 5 inf + 1 376.925 * * [simplify]: Extracting #3: cost 8 inf + 1 376.925 * * [simplify]: Extracting #4: cost 11 inf + 1 376.925 * * [simplify]: Extracting #5: cost 3 inf + 890 376.925 * * [simplify]: Extracting #6: cost 0 inf + 1374 376.925 * [simplify]: Simplified to (/ 1 (sqrt (fabs (cbrt k)))) 376.925 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 376.926 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 376.926 * * [simplify]: iters left: 6 (17 enodes) 376.930 * * [simplify]: iters left: 5 (68 enodes) 376.942 * * [simplify]: iters left: 4 (113 enodes) 376.973 * * [simplify]: iters left: 3 (186 enodes) 377.037 * * [simplify]: iters left: 2 (369 enodes) 377.194 * * [simplify]: Extracting #0: cost 1 inf + 0 377.194 * * [simplify]: Extracting #1: cost 89 inf + 0 377.196 * * [simplify]: Extracting #2: cost 242 inf + 0 377.198 * * [simplify]: Extracting #3: cost 316 inf + 2 377.201 * * [simplify]: Extracting #4: cost 304 inf + 2834 377.208 * * [simplify]: Extracting #5: cost 244 inf + 19533 377.234 * * [simplify]: Extracting #6: cost 76 inf + 131629 377.260 * * [simplify]: Extracting #7: cost 0 inf + 198309 377.286 * * [simplify]: Extracting #8: cost 0 inf + 193280 377.334 * * [simplify]: Extracting #9: cost 0 inf + 192858 377.389 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 377.389 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 377.389 * * * * [progress]: [ 440 / 667 ] simplifiying candidate # 377.390 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 377.390 * * [simplify]: iters left: 6 (9 enodes) 377.395 * * [simplify]: iters left: 5 (33 enodes) 377.405 * * [simplify]: iters left: 4 (45 enodes) 377.418 * * [simplify]: iters left: 3 (54 enodes) 377.433 * * [simplify]: iters left: 2 (57 enodes) 377.447 * * [simplify]: Extracting #0: cost 1 inf + 0 377.447 * * [simplify]: Extracting #1: cost 10 inf + 0 377.448 * * [simplify]: Extracting #2: cost 19 inf + 1 377.448 * * [simplify]: Extracting #3: cost 23 inf + 1 377.448 * * [simplify]: Extracting #4: cost 25 inf + 1 377.448 * * [simplify]: Extracting #5: cost 24 inf + 2 377.448 * * [simplify]: Extracting #6: cost 18 inf + 569 377.449 * * [simplify]: Extracting #7: cost 4 inf + 3750 377.451 * * [simplify]: Extracting #8: cost 0 inf + 4676 377.452 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 377.452 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 377.453 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 377.453 * * [simplify]: iters left: 6 (16 enodes) 377.461 * * [simplify]: iters left: 5 (65 enodes) 377.484 * * [simplify]: iters left: 4 (110 enodes) 377.522 * * [simplify]: iters left: 3 (184 enodes) 377.587 * * [simplify]: iters left: 2 (367 enodes) 377.713 * * [simplify]: Extracting #0: cost 1 inf + 0 377.713 * * [simplify]: Extracting #1: cost 86 inf + 0 377.714 * * [simplify]: Extracting #2: cost 238 inf + 0 377.722 * * [simplify]: Extracting #3: cost 310 inf + 2 377.725 * * [simplify]: Extracting #4: cost 320 inf + 179 377.728 * * [simplify]: Extracting #5: cost 293 inf + 2834 377.734 * * [simplify]: Extracting #6: cost 243 inf + 15112 377.755 * * [simplify]: Extracting #7: cost 114 inf + 95401 377.804 * * [simplify]: Extracting #8: cost 10 inf + 184986 377.833 * * [simplify]: Extracting #9: cost 0 inf + 193131 377.875 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 377.875 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 377.875 * * * * [progress]: [ 441 / 667 ] simplifiying candidate # 377.875 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 377.875 * * [simplify]: iters left: 6 (10 enodes) 377.878 * * [simplify]: iters left: 5 (35 enodes) 377.883 * * [simplify]: iters left: 4 (42 enodes) 377.889 * * [simplify]: iters left: 3 (44 enodes) 377.895 * * [simplify]: Extracting #0: cost 1 inf + 0 377.895 * * [simplify]: Extracting #1: cost 8 inf + 0 377.895 * * [simplify]: Extracting #2: cost 15 inf + 1 377.895 * * [simplify]: Extracting #3: cost 19 inf + 1 377.896 * * [simplify]: Extracting #4: cost 21 inf + 1 377.896 * * [simplify]: Extracting #5: cost 20 inf + 2 377.896 * * [simplify]: Extracting #6: cost 12 inf + 1051 377.896 * * [simplify]: Extracting #7: cost 2 inf + 2824 377.896 * * [simplify]: Extracting #8: cost 0 inf + 3308 377.897 * [simplify]: Simplified to (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 377.897 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 377.897 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 377.897 * * [simplify]: iters left: 6 (17 enodes) 377.902 * * [simplify]: iters left: 5 (68 enodes) 377.922 * * [simplify]: iters left: 4 (113 enodes) 377.955 * * [simplify]: iters left: 3 (186 enodes) 378.008 * * [simplify]: iters left: 2 (369 enodes) 378.132 * * [simplify]: Extracting #0: cost 1 inf + 0 378.132 * * [simplify]: Extracting #1: cost 89 inf + 0 378.134 * * [simplify]: Extracting #2: cost 242 inf + 0 378.135 * * [simplify]: Extracting #3: cost 315 inf + 2 378.138 * * [simplify]: Extracting #4: cost 324 inf + 262 378.141 * * [simplify]: Extracting #5: cost 299 inf + 3415 378.147 * * [simplify]: Extracting #6: cost 241 inf + 19223 378.167 * * [simplify]: Extracting #7: cost 76 inf + 130879 378.204 * * [simplify]: Extracting #8: cost 0 inf + 198664 378.257 * * [simplify]: Extracting #9: cost 0 inf + 198031 378.300 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 378.300 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 378.300 * * * * [progress]: [ 442 / 667 ] simplifiying candidate # 378.301 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 378.301 * * [simplify]: iters left: 6 (11 enodes) 378.304 * * [simplify]: iters left: 5 (38 enodes) 378.310 * * [simplify]: iters left: 4 (45 enodes) 378.316 * * [simplify]: iters left: 3 (47 enodes) 378.327 * * [simplify]: Extracting #0: cost 1 inf + 0 378.327 * * [simplify]: Extracting #1: cost 8 inf + 0 378.327 * * [simplify]: Extracting #2: cost 14 inf + 1 378.327 * * [simplify]: Extracting #3: cost 19 inf + 1 378.327 * * [simplify]: Extracting #4: cost 23 inf + 1 378.327 * * [simplify]: Extracting #5: cost 22 inf + 2 378.327 * * [simplify]: Extracting #6: cost 8 inf + 1538 378.328 * * [simplify]: Extracting #7: cost 2 inf + 3027 378.329 * * [simplify]: Extracting #8: cost 0 inf + 3550 378.330 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) 378.330 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 378.330 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 378.331 * * [simplify]: iters left: 6 (18 enodes) 378.339 * * [simplify]: iters left: 5 (71 enodes) 378.359 * * [simplify]: iters left: 4 (116 enodes) 378.377 * * [simplify]: iters left: 3 (185 enodes) 378.426 * * [simplify]: iters left: 2 (363 enodes) 378.543 * * [simplify]: Extracting #0: cost 1 inf + 0 378.543 * * [simplify]: Extracting #1: cost 87 inf + 0 378.544 * * [simplify]: Extracting #2: cost 239 inf + 0 378.545 * * [simplify]: Extracting #3: cost 315 inf + 2 378.547 * * [simplify]: Extracting #4: cost 324 inf + 262 378.548 * * [simplify]: Extracting #5: cost 297 inf + 3450 378.552 * * [simplify]: Extracting #6: cost 236 inf + 20337 378.567 * * [simplify]: Extracting #7: cost 140 inf + 83515 378.615 * * [simplify]: Extracting #8: cost 29 inf + 178519 378.656 * * [simplify]: Extracting #9: cost 0 inf + 203422 378.701 * * [simplify]: Extracting #10: cost 0 inf + 203211 378.757 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 378.757 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 378.758 * * * * [progress]: [ 443 / 667 ] simplifiying candidate # 378.758 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 378.758 * * [simplify]: iters left: 6 (7 enodes) 378.762 * * [simplify]: iters left: 5 (25 enodes) 378.770 * * [simplify]: iters left: 4 (27 enodes) 378.778 * * [simplify]: iters left: 3 (28 enodes) 378.785 * * [simplify]: Extracting #0: cost 1 inf + 0 378.785 * * [simplify]: Extracting #1: cost 6 inf + 0 378.785 * * [simplify]: Extracting #2: cost 9 inf + 1 378.785 * * [simplify]: Extracting #3: cost 11 inf + 1 378.785 * * [simplify]: Extracting #4: cost 10 inf + 2 378.786 * * [simplify]: Extracting #5: cost 1 inf + 935 378.786 * * [simplify]: Extracting #6: cost 0 inf + 1056 378.787 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 378.787 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 378.787 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 378.787 * * [simplify]: iters left: 6 (15 enodes) 378.795 * * [simplify]: iters left: 5 (62 enodes) 378.816 * * [simplify]: iters left: 4 (99 enodes) 378.833 * * [simplify]: iters left: 3 (152 enodes) 378.862 * * [simplify]: iters left: 2 (268 enodes) 378.949 * * [simplify]: Extracting #0: cost 1 inf + 0 378.949 * * [simplify]: Extracting #1: cost 50 inf + 0 378.949 * * [simplify]: Extracting #2: cost 130 inf + 0 378.950 * * [simplify]: Extracting #3: cost 193 inf + 2 378.951 * * [simplify]: Extracting #4: cost 178 inf + 3244 378.953 * * [simplify]: Extracting #5: cost 123 inf + 15848 378.965 * * [simplify]: Extracting #6: cost 28 inf + 78941 378.986 * * [simplify]: Extracting #7: cost 2 inf + 99807 379.007 * * [simplify]: Extracting #8: cost 0 inf + 100989 379.020 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 379.020 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 379.020 * * * * [progress]: [ 444 / 667 ] simplifiying candidate # 379.020 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 379.021 * * [simplify]: iters left: 6 (9 enodes) 379.025 * * [simplify]: iters left: 5 (31 enodes) 379.031 * * [simplify]: iters left: 4 (35 enodes) 379.035 * * [simplify]: iters left: 3 (39 enodes) 379.040 * * [simplify]: Extracting #0: cost 1 inf + 0 379.040 * * [simplify]: Extracting #1: cost 4 inf + 0 379.040 * * [simplify]: Extracting #2: cost 5 inf + 1 379.040 * * [simplify]: Extracting #3: cost 7 inf + 1 379.040 * * [simplify]: Extracting #4: cost 9 inf + 1 379.040 * * [simplify]: Extracting #5: cost 8 inf + 2 379.040 * * [simplify]: Extracting #6: cost 5 inf + 165 379.040 * * [simplify]: Extracting #7: cost 2 inf + 529 379.040 * * [simplify]: Extracting #8: cost 0 inf + 812 379.041 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 379.041 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 379.041 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 379.041 * * [simplify]: iters left: 6 (15 enodes) 379.045 * * [simplify]: iters left: 5 (62 enodes) 379.056 * * [simplify]: iters left: 4 (107 enodes) 379.077 * * [simplify]: iters left: 3 (177 enodes) 379.109 * * [simplify]: iters left: 2 (355 enodes) 379.209 * * [simplify]: Extracting #0: cost 1 inf + 0 379.210 * * [simplify]: Extracting #1: cost 88 inf + 0 379.211 * * [simplify]: Extracting #2: cost 238 inf + 0 379.213 * * [simplify]: Extracting #3: cost 310 inf + 2 379.216 * * [simplify]: Extracting #4: cost 300 inf + 2532 379.222 * * [simplify]: Extracting #5: cost 245 inf + 14641 379.252 * * [simplify]: Extracting #6: cost 67 inf + 134227 379.301 * * [simplify]: Extracting #7: cost 0 inf + 186051 379.341 * * [simplify]: Extracting #8: cost 0 inf + 184370 379.379 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 379.379 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 379.379 * * * * [progress]: [ 445 / 667 ] simplifiying candidate # 379.379 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 379.379 * * [simplify]: iters left: 6 (7 enodes) 379.383 * * [simplify]: iters left: 5 (25 enodes) 379.391 * * [simplify]: iters left: 4 (27 enodes) 379.397 * * [simplify]: iters left: 3 (28 enodes) 379.401 * * [simplify]: Extracting #0: cost 1 inf + 0 379.401 * * [simplify]: Extracting #1: cost 6 inf + 0 379.401 * * [simplify]: Extracting #2: cost 9 inf + 1 379.401 * * [simplify]: Extracting #3: cost 11 inf + 1 379.401 * * [simplify]: Extracting #4: cost 10 inf + 2 379.401 * * [simplify]: Extracting #5: cost 1 inf + 935 379.401 * * [simplify]: Extracting #6: cost 0 inf + 1056 379.402 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 379.402 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 379.402 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 379.402 * * [simplify]: iters left: 6 (15 enodes) 379.406 * * [simplify]: iters left: 5 (62 enodes) 379.417 * * [simplify]: iters left: 4 (99 enodes) 379.440 * * [simplify]: iters left: 3 (152 enodes) 379.469 * * [simplify]: iters left: 2 (268 enodes) 379.542 * * [simplify]: Extracting #0: cost 1 inf + 0 379.543 * * [simplify]: Extracting #1: cost 50 inf + 0 379.543 * * [simplify]: Extracting #2: cost 130 inf + 0 379.544 * * [simplify]: Extracting #3: cost 193 inf + 2 379.548 * * [simplify]: Extracting #4: cost 178 inf + 3244 379.551 * * [simplify]: Extracting #5: cost 123 inf + 15848 379.560 * * [simplify]: Extracting #6: cost 28 inf + 78941 379.584 * * [simplify]: Extracting #7: cost 2 inf + 99807 379.611 * * [simplify]: Extracting #8: cost 0 inf + 100989 379.635 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 379.635 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 379.635 * * * * [progress]: [ 446 / 667 ] simplifiying candidate # 379.635 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) 379.636 * * [simplify]: iters left: 6 (8 enodes) 379.639 * * [simplify]: iters left: 5 (28 enodes) 379.644 * * [simplify]: iters left: 4 (32 enodes) 379.649 * * [simplify]: iters left: 3 (36 enodes) 379.654 * * [simplify]: Extracting #0: cost 1 inf + 0 379.654 * * [simplify]: Extracting #1: cost 4 inf + 0 379.654 * * [simplify]: Extracting #2: cost 5 inf + 1 379.654 * * [simplify]: Extracting #3: cost 7 inf + 1 379.654 * * [simplify]: Extracting #4: cost 9 inf + 1 379.654 * * [simplify]: Extracting #5: cost 6 inf + 84 379.654 * * [simplify]: Extracting #6: cost 2 inf + 610 379.654 * * [simplify]: Extracting #7: cost 0 inf + 812 379.654 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 379.654 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 379.655 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 379.655 * * [simplify]: iters left: 6 (15 enodes) 379.659 * * [simplify]: iters left: 5 (62 enodes) 379.679 * * [simplify]: iters left: 4 (107 enodes) 379.697 * * [simplify]: iters left: 3 (177 enodes) 379.736 * * [simplify]: iters left: 2 (355 enodes) 379.844 * * [simplify]: Extracting #0: cost 1 inf + 0 379.845 * * [simplify]: Extracting #1: cost 88 inf + 0 379.846 * * [simplify]: Extracting #2: cost 238 inf + 0 379.847 * * [simplify]: Extracting #3: cost 310 inf + 2 379.848 * * [simplify]: Extracting #4: cost 300 inf + 2532 379.851 * * [simplify]: Extracting #5: cost 245 inf + 14641 379.865 * * [simplify]: Extracting #6: cost 67 inf + 134227 379.909 * * [simplify]: Extracting #7: cost 0 inf + 186051 379.945 * * [simplify]: Extracting #8: cost 0 inf + 184370 379.987 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 379.987 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 379.987 * * * * [progress]: [ 447 / 667 ] simplifiying candidate # 379.987 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 379.988 * * [simplify]: iters left: 6 (7 enodes) 379.991 * * [simplify]: iters left: 5 (25 enodes) 379.999 * * [simplify]: iters left: 4 (27 enodes) 380.007 * * [simplify]: iters left: 3 (28 enodes) 380.015 * * [simplify]: Extracting #0: cost 1 inf + 0 380.015 * * [simplify]: Extracting #1: cost 6 inf + 0 380.015 * * [simplify]: Extracting #2: cost 9 inf + 1 380.015 * * [simplify]: Extracting #3: cost 11 inf + 1 380.015 * * [simplify]: Extracting #4: cost 10 inf + 2 380.015 * * [simplify]: Extracting #5: cost 1 inf + 935 380.016 * * [simplify]: Extracting #6: cost 0 inf + 1056 380.016 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 380.016 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 380.017 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 380.017 * * [simplify]: iters left: 6 (15 enodes) 380.025 * * [simplify]: iters left: 5 (62 enodes) 380.036 * * [simplify]: iters left: 4 (99 enodes) 380.052 * * [simplify]: iters left: 3 (152 enodes) 380.097 * * [simplify]: iters left: 2 (268 enodes) 380.174 * * [simplify]: Extracting #0: cost 1 inf + 0 380.175 * * [simplify]: Extracting #1: cost 50 inf + 0 380.175 * * [simplify]: Extracting #2: cost 130 inf + 0 380.175 * * [simplify]: Extracting #3: cost 193 inf + 2 380.176 * * [simplify]: Extracting #4: cost 178 inf + 3244 380.179 * * [simplify]: Extracting #5: cost 123 inf + 15848 380.188 * * [simplify]: Extracting #6: cost 28 inf + 78941 380.201 * * [simplify]: Extracting #7: cost 2 inf + 99807 380.215 * * [simplify]: Extracting #8: cost 0 inf + 100989 380.230 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 380.230 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 380.230 * * * * [progress]: [ 448 / 667 ] simplifiying candidate # 380.231 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) 380.231 * * [simplify]: iters left: 6 (7 enodes) 380.233 * * [simplify]: iters left: 5 (23 enodes) 380.237 * * [simplify]: iters left: 4 (28 enodes) 380.241 * * [simplify]: iters left: 3 (32 enodes) 380.245 * * [simplify]: Extracting #0: cost 1 inf + 0 380.246 * * [simplify]: Extracting #1: cost 4 inf + 0 380.246 * * [simplify]: Extracting #2: cost 5 inf + 1 380.246 * * [simplify]: Extracting #3: cost 7 inf + 1 380.246 * * [simplify]: Extracting #4: cost 9 inf + 1 380.246 * * [simplify]: Extracting #5: cost 8 inf + 2 380.246 * * [simplify]: Extracting #6: cost 2 inf + 529 380.246 * * [simplify]: Extracting #7: cost 0 inf + 812 380.246 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 380.246 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 380.246 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 380.247 * * [simplify]: iters left: 6 (15 enodes) 380.251 * * [simplify]: iters left: 5 (62 enodes) 380.265 * * [simplify]: iters left: 4 (107 enodes) 380.290 * * [simplify]: iters left: 3 (177 enodes) 380.330 * * [simplify]: iters left: 2 (355 enodes) 380.491 * * [simplify]: Extracting #0: cost 1 inf + 0 380.491 * * [simplify]: Extracting #1: cost 88 inf + 0 380.493 * * [simplify]: Extracting #2: cost 238 inf + 0 380.494 * * [simplify]: Extracting #3: cost 310 inf + 2 380.497 * * [simplify]: Extracting #4: cost 300 inf + 2532 380.502 * * [simplify]: Extracting #5: cost 245 inf + 14641 380.520 * * [simplify]: Extracting #6: cost 67 inf + 134227 380.548 * * [simplify]: Extracting #7: cost 0 inf + 186051 380.595 * * [simplify]: Extracting #8: cost 0 inf + 184370 380.645 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 380.645 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 380.645 * * * * [progress]: [ 449 / 667 ] simplifiying candidate # 380.646 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 380.646 * * [simplify]: iters left: 6 (10 enodes) 380.652 * * [simplify]: iters left: 5 (36 enodes) 380.663 * * [simplify]: iters left: 4 (45 enodes) 380.674 * * [simplify]: iters left: 3 (51 enodes) 380.688 * * [simplify]: iters left: 2 (57 enodes) 380.700 * * [simplify]: Extracting #0: cost 1 inf + 0 380.700 * * [simplify]: Extracting #1: cost 6 inf + 0 380.700 * * [simplify]: Extracting #2: cost 9 inf + 1 380.700 * * [simplify]: Extracting #3: cost 11 inf + 1 380.700 * * [simplify]: Extracting #4: cost 13 inf + 1 380.700 * * [simplify]: Extracting #5: cost 10 inf + 84 380.701 * * [simplify]: Extracting #6: cost 6 inf + 568 380.701 * * [simplify]: Extracting #7: cost 0 inf + 1858 380.702 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 380.702 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 380.702 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 380.702 * * [simplify]: iters left: 6 (15 enodes) 380.710 * * [simplify]: iters left: 5 (62 enodes) 380.731 * * [simplify]: iters left: 4 (107 enodes) 380.759 * * [simplify]: iters left: 3 (177 enodes) 380.810 * * [simplify]: iters left: 2 (355 enodes) 380.928 * * [simplify]: Extracting #0: cost 1 inf + 0 380.929 * * [simplify]: Extracting #1: cost 88 inf + 0 380.929 * * [simplify]: Extracting #2: cost 238 inf + 0 380.930 * * [simplify]: Extracting #3: cost 310 inf + 2 380.932 * * [simplify]: Extracting #4: cost 299 inf + 3879 380.939 * * [simplify]: Extracting #5: cost 243 inf + 16625 380.953 * * [simplify]: Extracting #6: cost 81 inf + 126694 380.984 * * [simplify]: Extracting #7: cost 1 inf + 190486 381.009 * * [simplify]: Extracting #8: cost 0 inf + 189370 381.038 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 381.038 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 381.038 * * * * [progress]: [ 450 / 667 ] simplifiying candidate # 381.038 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 381.038 * * [simplify]: iters left: 6 (10 enodes) 381.041 * * [simplify]: iters left: 5 (35 enodes) 381.047 * * [simplify]: iters left: 4 (37 enodes) 381.052 * * [simplify]: iters left: 3 (41 enodes) 381.057 * * [simplify]: Extracting #0: cost 1 inf + 0 381.057 * * [simplify]: Extracting #1: cost 4 inf + 0 381.057 * * [simplify]: Extracting #2: cost 6 inf + 1 381.058 * * [simplify]: Extracting #3: cost 9 inf + 1 381.058 * * [simplify]: Extracting #4: cost 11 inf + 1 381.058 * * [simplify]: Extracting #5: cost 1 inf + 1253 381.058 * * [simplify]: Extracting #6: cost 0 inf + 1374 381.058 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 381.058 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 381.058 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 381.059 * * [simplify]: iters left: 6 (16 enodes) 381.067 * * [simplify]: iters left: 5 (65 enodes) 381.089 * * [simplify]: iters left: 4 (110 enodes) 381.124 * * [simplify]: iters left: 3 (184 enodes) 381.185 * * [simplify]: iters left: 2 (367 enodes) 381.312 * * [simplify]: Extracting #0: cost 1 inf + 0 381.313 * * [simplify]: Extracting #1: cost 86 inf + 0 381.313 * * [simplify]: Extracting #2: cost 239 inf + 0 381.314 * * [simplify]: Extracting #3: cost 312 inf + 2 381.316 * * [simplify]: Extracting #4: cost 291 inf + 6114 381.328 * * [simplify]: Extracting #5: cost 176 inf + 59226 381.352 * * [simplify]: Extracting #6: cost 71 inf + 131998 381.404 * * [simplify]: Extracting #7: cost 4 inf + 186864 381.454 * * [simplify]: Extracting #8: cost 0 inf + 190571 381.506 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 381.506 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 381.506 * * * * [progress]: [ 451 / 667 ] simplifiying candidate # 381.507 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 381.507 * * [simplify]: iters left: 6 (10 enodes) 381.512 * * [simplify]: iters left: 5 (35 enodes) 381.519 * * [simplify]: iters left: 4 (37 enodes) 381.526 * * [simplify]: iters left: 3 (41 enodes) 381.531 * * [simplify]: Extracting #0: cost 1 inf + 0 381.531 * * [simplify]: Extracting #1: cost 4 inf + 0 381.531 * * [simplify]: Extracting #2: cost 5 inf + 1 381.531 * * [simplify]: Extracting #3: cost 8 inf + 1 381.531 * * [simplify]: Extracting #4: cost 11 inf + 1 381.531 * * [simplify]: Extracting #5: cost 1 inf + 1253 381.532 * * [simplify]: Extracting #6: cost 0 inf + 1374 381.532 * [simplify]: Simplified to (/ 1 (sqrt (fabs (cbrt k)))) 381.532 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 381.532 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 381.532 * * [simplify]: iters left: 6 (17 enodes) 381.537 * * [simplify]: iters left: 5 (68 enodes) 381.552 * * [simplify]: iters left: 4 (113 enodes) 381.574 * * [simplify]: iters left: 3 (186 enodes) 381.633 * * [simplify]: iters left: 2 (369 enodes) 381.768 * * [simplify]: Extracting #0: cost 1 inf + 0 381.768 * * [simplify]: Extracting #1: cost 88 inf + 0 381.769 * * [simplify]: Extracting #2: cost 240 inf + 0 381.770 * * [simplify]: Extracting #3: cost 314 inf + 2 381.772 * * [simplify]: Extracting #4: cost 299 inf + 3359 381.775 * * [simplify]: Extracting #5: cost 234 inf + 22374 381.802 * * [simplify]: Extracting #6: cost 60 inf + 148138 381.838 * * [simplify]: Extracting #7: cost 0 inf + 197383 381.866 * * [simplify]: Extracting #8: cost 0 inf + 193828 381.914 * * [simplify]: Extracting #9: cost 0 inf + 193788 381.953 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 381.953 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 381.953 * * * * [progress]: [ 452 / 667 ] simplifiying candidate # 381.953 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 381.954 * * [simplify]: iters left: 6 (9 enodes) 381.957 * * [simplify]: iters left: 5 (31 enodes) 381.962 * * [simplify]: iters left: 4 (33 enodes) 381.967 * * [simplify]: iters left: 3 (37 enodes) 381.972 * * [simplify]: Extracting #0: cost 1 inf + 0 381.972 * * [simplify]: Extracting #1: cost 4 inf + 0 381.972 * * [simplify]: Extracting #2: cost 5 inf + 1 381.972 * * [simplify]: Extracting #3: cost 7 inf + 1 381.972 * * [simplify]: Extracting #4: cost 9 inf + 1 381.972 * * [simplify]: Extracting #5: cost 0 inf + 812 381.972 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 381.972 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 381.973 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 381.973 * * [simplify]: iters left: 6 (15 enodes) 381.977 * * [simplify]: iters left: 5 (62 enodes) 381.988 * * [simplify]: iters left: 4 (107 enodes) 382.016 * * [simplify]: iters left: 3 (177 enodes) 382.052 * * [simplify]: iters left: 2 (355 enodes) 382.163 * * [simplify]: Extracting #0: cost 1 inf + 0 382.164 * * [simplify]: Extracting #1: cost 88 inf + 0 382.165 * * [simplify]: Extracting #2: cost 238 inf + 0 382.167 * * [simplify]: Extracting #3: cost 310 inf + 2 382.170 * * [simplify]: Extracting #4: cost 299 inf + 3679 382.176 * * [simplify]: Extracting #5: cost 243 inf + 16225 382.193 * * [simplify]: Extracting #6: cost 81 inf + 123974 382.222 * * [simplify]: Extracting #7: cost 1 inf + 185486 382.250 * * [simplify]: Extracting #8: cost 0 inf + 184330 382.297 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 382.298 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 382.298 * * * * [progress]: [ 453 / 667 ] simplifiying candidate # 382.298 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt 1))) 382.298 * * [simplify]: iters left: 6 (5 enodes) 382.310 * * [simplify]: iters left: 5 (19 enodes) 382.314 * * [simplify]: iters left: 4 (21 enodes) 382.318 * * [simplify]: Extracting #0: cost 1 inf + 0 382.318 * * [simplify]: Extracting #1: cost 0 inf + 1 382.318 * [simplify]: Simplified to 1 382.319 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 382.319 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 382.319 * * [simplify]: iters left: 6 (14 enodes) 382.327 * * [simplify]: iters left: 5 (59 enodes) 382.347 * * [simplify]: iters left: 4 (96 enodes) 382.381 * * [simplify]: iters left: 3 (149 enodes) 382.420 * * [simplify]: iters left: 2 (265 enodes) 382.484 * * [simplify]: Extracting #0: cost 1 inf + 0 382.484 * * [simplify]: Extracting #1: cost 50 inf + 0 382.484 * * [simplify]: Extracting #2: cost 132 inf + 0 382.485 * * [simplify]: Extracting #3: cost 195 inf + 3 382.486 * * [simplify]: Extracting #4: cost 179 inf + 4407 382.488 * * [simplify]: Extracting #5: cost 137 inf + 11514 382.494 * * [simplify]: Extracting #6: cost 57 inf + 57747 382.515 * * [simplify]: Extracting #7: cost 0 inf + 100144 382.540 * * [simplify]: Extracting #8: cost 0 inf + 98303 382.554 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 382.554 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 382.554 * * * * [progress]: [ 454 / 667 ] simplifiying candidate # 382.554 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 382.555 * * [simplify]: iters left: 6 (9 enodes) 382.562 * * [simplify]: iters left: 5 (31 enodes) 382.567 * * [simplify]: iters left: 4 (33 enodes) 382.572 * * [simplify]: iters left: 3 (37 enodes) 382.577 * * [simplify]: Extracting #0: cost 1 inf + 0 382.577 * * [simplify]: Extracting #1: cost 4 inf + 0 382.577 * * [simplify]: Extracting #2: cost 5 inf + 1 382.577 * * [simplify]: Extracting #3: cost 7 inf + 1 382.577 * * [simplify]: Extracting #4: cost 9 inf + 1 382.577 * * [simplify]: Extracting #5: cost 0 inf + 812 382.577 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 382.577 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 382.577 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 382.577 * * [simplify]: iters left: 6 (15 enodes) 382.582 * * [simplify]: iters left: 5 (62 enodes) 382.593 * * [simplify]: iters left: 4 (107 enodes) 382.610 * * [simplify]: iters left: 3 (177 enodes) 382.668 * * [simplify]: iters left: 2 (355 enodes) 382.841 * * [simplify]: Extracting #0: cost 1 inf + 0 382.842 * * [simplify]: Extracting #1: cost 88 inf + 0 382.843 * * [simplify]: Extracting #2: cost 238 inf + 0 382.845 * * [simplify]: Extracting #3: cost 310 inf + 2 382.848 * * [simplify]: Extracting #4: cost 299 inf + 3679 382.855 * * [simplify]: Extracting #5: cost 243 inf + 16225 382.882 * * [simplify]: Extracting #6: cost 81 inf + 123974 382.921 * * [simplify]: Extracting #7: cost 1 inf + 185486 382.954 * * [simplify]: Extracting #8: cost 0 inf + 184330 382.981 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 382.981 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 382.981 * * * * [progress]: [ 455 / 667 ] simplifiying candidate # 382.982 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt 1)) 382.982 * * [simplify]: iters left: 6 (5 enodes) 382.990 * * [simplify]: iters left: 5 (19 enodes) 382.993 * * [simplify]: iters left: 4 (21 enodes) 382.997 * * [simplify]: Extracting #0: cost 1 inf + 0 382.997 * * [simplify]: Extracting #1: cost 0 inf + 1 382.997 * [simplify]: Simplified to 1 382.997 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 382.997 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 382.998 * * [simplify]: iters left: 6 (14 enodes) 383.006 * * [simplify]: iters left: 5 (59 enodes) 383.026 * * [simplify]: iters left: 4 (96 enodes) 383.059 * * [simplify]: iters left: 3 (149 enodes) 383.084 * * [simplify]: iters left: 2 (265 enodes) 383.179 * * [simplify]: Extracting #0: cost 1 inf + 0 383.179 * * [simplify]: Extracting #1: cost 50 inf + 0 383.179 * * [simplify]: Extracting #2: cost 132 inf + 0 383.180 * * [simplify]: Extracting #3: cost 195 inf + 3 383.181 * * [simplify]: Extracting #4: cost 179 inf + 4407 383.183 * * [simplify]: Extracting #5: cost 137 inf + 11514 383.189 * * [simplify]: Extracting #6: cost 57 inf + 57747 383.209 * * [simplify]: Extracting #7: cost 0 inf + 100144 383.233 * * [simplify]: Extracting #8: cost 0 inf + 98303 383.258 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 383.258 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 383.258 * * * * [progress]: [ 456 / 667 ] simplifiying candidate # 383.259 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 383.259 * * [simplify]: iters left: 6 (9 enodes) 383.265 * * [simplify]: iters left: 5 (31 enodes) 383.279 * * [simplify]: iters left: 4 (33 enodes) 383.288 * * [simplify]: iters left: 3 (37 enodes) 383.297 * * [simplify]: Extracting #0: cost 1 inf + 0 383.297 * * [simplify]: Extracting #1: cost 4 inf + 0 383.297 * * [simplify]: Extracting #2: cost 5 inf + 1 383.297 * * [simplify]: Extracting #3: cost 7 inf + 1 383.297 * * [simplify]: Extracting #4: cost 9 inf + 1 383.298 * * [simplify]: Extracting #5: cost 0 inf + 812 383.298 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 383.298 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 383.299 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 383.299 * * [simplify]: iters left: 6 (15 enodes) 383.306 * * [simplify]: iters left: 5 (62 enodes) 383.327 * * [simplify]: iters left: 4 (107 enodes) 383.361 * * [simplify]: iters left: 3 (177 enodes) 383.429 * * [simplify]: iters left: 2 (355 enodes) 383.551 * * [simplify]: Extracting #0: cost 1 inf + 0 383.551 * * [simplify]: Extracting #1: cost 88 inf + 0 383.553 * * [simplify]: Extracting #2: cost 238 inf + 0 383.555 * * [simplify]: Extracting #3: cost 310 inf + 2 383.556 * * [simplify]: Extracting #4: cost 299 inf + 3679 383.559 * * [simplify]: Extracting #5: cost 243 inf + 16225 383.573 * * [simplify]: Extracting #6: cost 81 inf + 123974 383.608 * * [simplify]: Extracting #7: cost 1 inf + 185486 383.663 * * [simplify]: Extracting #8: cost 0 inf + 184330 383.714 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 383.714 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 383.714 * * * * [progress]: [ 457 / 667 ] simplifiying candidate # 383.715 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt 1))) 1) 383.715 * * [simplify]: iters left: 6 (5 enodes) 383.722 * * [simplify]: iters left: 5 (17 enodes) 383.727 * * [simplify]: iters left: 4 (19 enodes) 383.730 * * [simplify]: Extracting #0: cost 1 inf + 0 383.730 * * [simplify]: Extracting #1: cost 0 inf + 1 383.730 * [simplify]: Simplified to 1 383.730 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 383.731 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 383.731 * * [simplify]: iters left: 6 (14 enodes) 383.737 * * [simplify]: iters left: 5 (59 enodes) 383.747 * * [simplify]: iters left: 4 (96 enodes) 383.773 * * [simplify]: iters left: 3 (149 enodes) 383.822 * * [simplify]: iters left: 2 (265 enodes) 383.912 * * [simplify]: Extracting #0: cost 1 inf + 0 383.912 * * [simplify]: Extracting #1: cost 50 inf + 0 383.912 * * [simplify]: Extracting #2: cost 132 inf + 0 383.913 * * [simplify]: Extracting #3: cost 195 inf + 3 383.914 * * [simplify]: Extracting #4: cost 179 inf + 4407 383.916 * * [simplify]: Extracting #5: cost 137 inf + 11514 383.922 * * [simplify]: Extracting #6: cost 57 inf + 57747 383.935 * * [simplify]: Extracting #7: cost 0 inf + 100144 383.953 * * [simplify]: Extracting #8: cost 0 inf + 98303 383.977 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 383.977 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 383.978 * * * * [progress]: [ 458 / 667 ] simplifiying candidate # 383.978 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 383.978 * * [simplify]: iters left: 6 (9 enodes) 383.983 * * [simplify]: iters left: 5 (33 enodes) 383.993 * * [simplify]: iters left: 4 (45 enodes) 384.011 * * [simplify]: iters left: 3 (54 enodes) 384.025 * * [simplify]: iters left: 2 (57 enodes) 384.041 * * [simplify]: Extracting #0: cost 1 inf + 0 384.041 * * [simplify]: Extracting #1: cost 10 inf + 0 384.041 * * [simplify]: Extracting #2: cost 19 inf + 1 384.041 * * [simplify]: Extracting #3: cost 23 inf + 1 384.041 * * [simplify]: Extracting #4: cost 25 inf + 1 384.041 * * [simplify]: Extracting #5: cost 24 inf + 2 384.041 * * [simplify]: Extracting #6: cost 18 inf + 569 384.042 * * [simplify]: Extracting #7: cost 4 inf + 3750 384.044 * * [simplify]: Extracting #8: cost 0 inf + 4676 384.045 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 384.045 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 384.045 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 384.046 * * [simplify]: iters left: 6 (16 enodes) 384.054 * * [simplify]: iters left: 5 (65 enodes) 384.075 * * [simplify]: iters left: 4 (110 enodes) 384.095 * * [simplify]: iters left: 3 (184 enodes) 384.151 * * [simplify]: iters left: 2 (367 enodes) 384.265 * * [simplify]: Extracting #0: cost 1 inf + 0 384.265 * * [simplify]: Extracting #1: cost 86 inf + 0 384.266 * * [simplify]: Extracting #2: cost 238 inf + 0 384.267 * * [simplify]: Extracting #3: cost 310 inf + 2 384.269 * * [simplify]: Extracting #4: cost 320 inf + 179 384.271 * * [simplify]: Extracting #5: cost 293 inf + 2834 384.274 * * [simplify]: Extracting #6: cost 243 inf + 15112 384.285 * * [simplify]: Extracting #7: cost 114 inf + 95401 384.320 * * [simplify]: Extracting #8: cost 10 inf + 184986 384.353 * * [simplify]: Extracting #9: cost 0 inf + 193131 384.380 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 384.380 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 384.380 * * * * [progress]: [ 459 / 667 ] simplifiying candidate # 384.380 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 384.381 * * [simplify]: iters left: 6 (10 enodes) 384.383 * * [simplify]: iters left: 5 (35 enodes) 384.391 * * [simplify]: iters left: 4 (42 enodes) 384.402 * * [simplify]: iters left: 3 (44 enodes) 384.416 * * [simplify]: Extracting #0: cost 1 inf + 0 384.416 * * [simplify]: Extracting #1: cost 8 inf + 0 384.416 * * [simplify]: Extracting #2: cost 15 inf + 1 384.416 * * [simplify]: Extracting #3: cost 19 inf + 1 384.416 * * [simplify]: Extracting #4: cost 21 inf + 1 384.417 * * [simplify]: Extracting #5: cost 20 inf + 2 384.417 * * [simplify]: Extracting #6: cost 12 inf + 1051 384.417 * * [simplify]: Extracting #7: cost 2 inf + 2824 384.418 * * [simplify]: Extracting #8: cost 0 inf + 3308 384.419 * [simplify]: Simplified to (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 384.419 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 384.420 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 384.420 * * [simplify]: iters left: 6 (17 enodes) 384.429 * * [simplify]: iters left: 5 (68 enodes) 384.441 * * [simplify]: iters left: 4 (113 enodes) 384.460 * * [simplify]: iters left: 3 (186 enodes) 384.495 * * [simplify]: iters left: 2 (369 enodes) 384.635 * * [simplify]: Extracting #0: cost 1 inf + 0 384.636 * * [simplify]: Extracting #1: cost 89 inf + 0 384.636 * * [simplify]: Extracting #2: cost 242 inf + 0 384.637 * * [simplify]: Extracting #3: cost 315 inf + 2 384.639 * * [simplify]: Extracting #4: cost 324 inf + 262 384.640 * * [simplify]: Extracting #5: cost 299 inf + 3415 384.644 * * [simplify]: Extracting #6: cost 241 inf + 19223 384.663 * * [simplify]: Extracting #7: cost 76 inf + 130879 384.715 * * [simplify]: Extracting #8: cost 0 inf + 198664 384.755 * * [simplify]: Extracting #9: cost 0 inf + 198031 384.796 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 384.796 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 384.796 * * * * [progress]: [ 460 / 667 ] simplifiying candidate # 384.797 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 384.797 * * [simplify]: iters left: 6 (11 enodes) 384.802 * * [simplify]: iters left: 5 (38 enodes) 384.813 * * [simplify]: iters left: 4 (45 enodes) 384.825 * * [simplify]: iters left: 3 (47 enodes) 384.838 * * [simplify]: Extracting #0: cost 1 inf + 0 384.838 * * [simplify]: Extracting #1: cost 8 inf + 0 384.838 * * [simplify]: Extracting #2: cost 14 inf + 1 384.838 * * [simplify]: Extracting #3: cost 19 inf + 1 384.838 * * [simplify]: Extracting #4: cost 23 inf + 1 384.838 * * [simplify]: Extracting #5: cost 22 inf + 2 384.838 * * [simplify]: Extracting #6: cost 8 inf + 1538 384.839 * * [simplify]: Extracting #7: cost 2 inf + 3027 384.840 * * [simplify]: Extracting #8: cost 0 inf + 3550 384.841 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) 384.841 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 384.841 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 384.842 * * [simplify]: iters left: 6 (18 enodes) 384.849 * * [simplify]: iters left: 5 (71 enodes) 384.863 * * [simplify]: iters left: 4 (116 enodes) 384.882 * * [simplify]: iters left: 3 (185 enodes) 384.916 * * [simplify]: iters left: 2 (363 enodes) 385.070 * * [simplify]: Extracting #0: cost 1 inf + 0 385.070 * * [simplify]: Extracting #1: cost 87 inf + 0 385.071 * * [simplify]: Extracting #2: cost 239 inf + 0 385.072 * * [simplify]: Extracting #3: cost 315 inf + 2 385.073 * * [simplify]: Extracting #4: cost 324 inf + 262 385.075 * * [simplify]: Extracting #5: cost 297 inf + 3450 385.082 * * [simplify]: Extracting #6: cost 236 inf + 20337 385.100 * * [simplify]: Extracting #7: cost 140 inf + 83515 385.122 * * [simplify]: Extracting #8: cost 29 inf + 178519 385.153 * * [simplify]: Extracting #9: cost 0 inf + 203422 385.188 * * [simplify]: Extracting #10: cost 0 inf + 203211 385.240 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 385.240 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 385.240 * * * * [progress]: [ 461 / 667 ] simplifiying candidate # 385.241 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 385.241 * * [simplify]: iters left: 6 (7 enodes) 385.243 * * [simplify]: iters left: 5 (25 enodes) 385.247 * * [simplify]: iters left: 4 (27 enodes) 385.251 * * [simplify]: iters left: 3 (28 enodes) 385.254 * * [simplify]: Extracting #0: cost 1 inf + 0 385.255 * * [simplify]: Extracting #1: cost 6 inf + 0 385.255 * * [simplify]: Extracting #2: cost 9 inf + 1 385.255 * * [simplify]: Extracting #3: cost 11 inf + 1 385.255 * * [simplify]: Extracting #4: cost 10 inf + 2 385.255 * * [simplify]: Extracting #5: cost 1 inf + 935 385.255 * * [simplify]: Extracting #6: cost 0 inf + 1056 385.255 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 385.255 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 385.255 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 385.256 * * [simplify]: iters left: 6 (15 enodes) 385.260 * * [simplify]: iters left: 5 (62 enodes) 385.280 * * [simplify]: iters left: 4 (99 enodes) 385.299 * * [simplify]: iters left: 3 (152 enodes) 385.325 * * [simplify]: iters left: 2 (268 enodes) 385.396 * * [simplify]: Extracting #0: cost 1 inf + 0 385.396 * * [simplify]: Extracting #1: cost 50 inf + 0 385.396 * * [simplify]: Extracting #2: cost 130 inf + 0 385.397 * * [simplify]: Extracting #3: cost 193 inf + 2 385.398 * * [simplify]: Extracting #4: cost 178 inf + 3244 385.400 * * [simplify]: Extracting #5: cost 123 inf + 15848 385.415 * * [simplify]: Extracting #6: cost 28 inf + 78941 385.442 * * [simplify]: Extracting #7: cost 2 inf + 99807 385.469 * * [simplify]: Extracting #8: cost 0 inf + 100989 385.490 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 385.490 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 385.490 * * * * [progress]: [ 462 / 667 ] simplifiying candidate # 385.490 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 385.490 * * [simplify]: iters left: 6 (9 enodes) 385.495 * * [simplify]: iters left: 5 (31 enodes) 385.500 * * [simplify]: iters left: 4 (35 enodes) 385.504 * * [simplify]: iters left: 3 (39 enodes) 385.509 * * [simplify]: Extracting #0: cost 1 inf + 0 385.509 * * [simplify]: Extracting #1: cost 4 inf + 0 385.509 * * [simplify]: Extracting #2: cost 5 inf + 1 385.509 * * [simplify]: Extracting #3: cost 7 inf + 1 385.509 * * [simplify]: Extracting #4: cost 9 inf + 1 385.509 * * [simplify]: Extracting #5: cost 8 inf + 2 385.509 * * [simplify]: Extracting #6: cost 5 inf + 165 385.509 * * [simplify]: Extracting #7: cost 2 inf + 529 385.510 * * [simplify]: Extracting #8: cost 0 inf + 812 385.510 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 385.510 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 385.510 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 385.510 * * [simplify]: iters left: 6 (15 enodes) 385.515 * * [simplify]: iters left: 5 (62 enodes) 385.526 * * [simplify]: iters left: 4 (107 enodes) 385.543 * * [simplify]: iters left: 3 (177 enodes) 385.585 * * [simplify]: iters left: 2 (355 enodes) 385.710 * * [simplify]: Extracting #0: cost 1 inf + 0 385.710 * * [simplify]: Extracting #1: cost 88 inf + 0 385.712 * * [simplify]: Extracting #2: cost 238 inf + 0 385.714 * * [simplify]: Extracting #3: cost 310 inf + 2 385.716 * * [simplify]: Extracting #4: cost 300 inf + 2532 385.722 * * [simplify]: Extracting #5: cost 245 inf + 14641 385.752 * * [simplify]: Extracting #6: cost 67 inf + 134227 385.806 * * [simplify]: Extracting #7: cost 0 inf + 186051 385.856 * * [simplify]: Extracting #8: cost 0 inf + 184370 385.882 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 385.882 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 385.883 * * * * [progress]: [ 463 / 667 ] simplifiying candidate # 385.883 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 385.883 * * [simplify]: iters left: 6 (7 enodes) 385.885 * * [simplify]: iters left: 5 (25 enodes) 385.889 * * [simplify]: iters left: 4 (27 enodes) 385.893 * * [simplify]: iters left: 3 (28 enodes) 385.899 * * [simplify]: Extracting #0: cost 1 inf + 0 385.899 * * [simplify]: Extracting #1: cost 6 inf + 0 385.899 * * [simplify]: Extracting #2: cost 9 inf + 1 385.899 * * [simplify]: Extracting #3: cost 11 inf + 1 385.899 * * [simplify]: Extracting #4: cost 10 inf + 2 385.900 * * [simplify]: Extracting #5: cost 1 inf + 935 385.900 * * [simplify]: Extracting #6: cost 0 inf + 1056 385.901 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 385.901 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 385.901 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 385.901 * * [simplify]: iters left: 6 (15 enodes) 385.912 * * [simplify]: iters left: 5 (62 enodes) 385.932 * * [simplify]: iters left: 4 (99 enodes) 385.956 * * [simplify]: iters left: 3 (152 enodes) 385.983 * * [simplify]: iters left: 2 (268 enodes) 386.043 * * [simplify]: Extracting #0: cost 1 inf + 0 386.043 * * [simplify]: Extracting #1: cost 50 inf + 0 386.044 * * [simplify]: Extracting #2: cost 130 inf + 0 386.044 * * [simplify]: Extracting #3: cost 193 inf + 2 386.045 * * [simplify]: Extracting #4: cost 178 inf + 3244 386.048 * * [simplify]: Extracting #5: cost 123 inf + 15848 386.057 * * [simplify]: Extracting #6: cost 28 inf + 78941 386.070 * * [simplify]: Extracting #7: cost 2 inf + 99807 386.087 * * [simplify]: Extracting #8: cost 0 inf + 100989 386.104 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 386.104 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 386.104 * * * * [progress]: [ 464 / 667 ] simplifiying candidate # 386.105 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) 386.105 * * [simplify]: iters left: 6 (8 enodes) 386.110 * * [simplify]: iters left: 5 (28 enodes) 386.119 * * [simplify]: iters left: 4 (32 enodes) 386.127 * * [simplify]: iters left: 3 (36 enodes) 386.135 * * [simplify]: Extracting #0: cost 1 inf + 0 386.135 * * [simplify]: Extracting #1: cost 4 inf + 0 386.135 * * [simplify]: Extracting #2: cost 5 inf + 1 386.135 * * [simplify]: Extracting #3: cost 7 inf + 1 386.135 * * [simplify]: Extracting #4: cost 9 inf + 1 386.135 * * [simplify]: Extracting #5: cost 6 inf + 84 386.135 * * [simplify]: Extracting #6: cost 2 inf + 610 386.136 * * [simplify]: Extracting #7: cost 0 inf + 812 386.136 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 386.136 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 386.136 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 386.136 * * [simplify]: iters left: 6 (15 enodes) 386.145 * * [simplify]: iters left: 5 (62 enodes) 386.165 * * [simplify]: iters left: 4 (107 enodes) 386.198 * * [simplify]: iters left: 3 (177 enodes) 386.261 * * [simplify]: iters left: 2 (355 enodes) 386.396 * * [simplify]: Extracting #0: cost 1 inf + 0 386.396 * * [simplify]: Extracting #1: cost 88 inf + 0 386.397 * * [simplify]: Extracting #2: cost 238 inf + 0 386.398 * * [simplify]: Extracting #3: cost 310 inf + 2 386.399 * * [simplify]: Extracting #4: cost 300 inf + 2532 386.402 * * [simplify]: Extracting #5: cost 245 inf + 14641 386.426 * * [simplify]: Extracting #6: cost 67 inf + 134227 386.458 * * [simplify]: Extracting #7: cost 0 inf + 186051 386.496 * * [simplify]: Extracting #8: cost 0 inf + 184370 386.523 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 386.523 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 386.523 * * * * [progress]: [ 465 / 667 ] simplifiying candidate # 386.523 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 386.524 * * [simplify]: iters left: 6 (7 enodes) 386.526 * * [simplify]: iters left: 5 (25 enodes) 386.530 * * [simplify]: iters left: 4 (27 enodes) 386.534 * * [simplify]: iters left: 3 (28 enodes) 386.540 * * [simplify]: Extracting #0: cost 1 inf + 0 386.540 * * [simplify]: Extracting #1: cost 6 inf + 0 386.540 * * [simplify]: Extracting #2: cost 9 inf + 1 386.540 * * [simplify]: Extracting #3: cost 11 inf + 1 386.540 * * [simplify]: Extracting #4: cost 10 inf + 2 386.541 * * [simplify]: Extracting #5: cost 1 inf + 935 386.541 * * [simplify]: Extracting #6: cost 0 inf + 1056 386.541 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 386.541 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 386.541 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 386.541 * * [simplify]: iters left: 6 (15 enodes) 386.546 * * [simplify]: iters left: 5 (62 enodes) 386.565 * * [simplify]: iters left: 4 (99 enodes) 386.587 * * [simplify]: iters left: 3 (152 enodes) 386.618 * * [simplify]: iters left: 2 (268 enodes) 386.705 * * [simplify]: Extracting #0: cost 1 inf + 0 386.705 * * [simplify]: Extracting #1: cost 50 inf + 0 386.706 * * [simplify]: Extracting #2: cost 130 inf + 0 386.706 * * [simplify]: Extracting #3: cost 193 inf + 2 386.707 * * [simplify]: Extracting #4: cost 178 inf + 3244 386.710 * * [simplify]: Extracting #5: cost 123 inf + 15848 386.718 * * [simplify]: Extracting #6: cost 28 inf + 78941 386.735 * * [simplify]: Extracting #7: cost 2 inf + 99807 386.761 * * [simplify]: Extracting #8: cost 0 inf + 100989 386.774 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 386.774 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 386.774 * * * * [progress]: [ 466 / 667 ] simplifiying candidate # 386.775 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) 386.775 * * [simplify]: iters left: 6 (7 enodes) 386.777 * * [simplify]: iters left: 5 (23 enodes) 386.781 * * [simplify]: iters left: 4 (28 enodes) 386.785 * * [simplify]: iters left: 3 (32 enodes) 386.791 * * [simplify]: Extracting #0: cost 1 inf + 0 386.791 * * [simplify]: Extracting #1: cost 4 inf + 0 386.791 * * [simplify]: Extracting #2: cost 5 inf + 1 386.791 * * [simplify]: Extracting #3: cost 7 inf + 1 386.791 * * [simplify]: Extracting #4: cost 9 inf + 1 386.791 * * [simplify]: Extracting #5: cost 8 inf + 2 386.791 * * [simplify]: Extracting #6: cost 2 inf + 529 386.791 * * [simplify]: Extracting #7: cost 0 inf + 812 386.791 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 386.792 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 386.792 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 386.792 * * [simplify]: iters left: 6 (15 enodes) 386.796 * * [simplify]: iters left: 5 (62 enodes) 386.806 * * [simplify]: iters left: 4 (107 enodes) 386.831 * * [simplify]: iters left: 3 (177 enodes) 386.873 * * [simplify]: iters left: 2 (355 enodes) 387.023 * * [simplify]: Extracting #0: cost 1 inf + 0 387.023 * * [simplify]: Extracting #1: cost 88 inf + 0 387.023 * * [simplify]: Extracting #2: cost 238 inf + 0 387.024 * * [simplify]: Extracting #3: cost 310 inf + 2 387.026 * * [simplify]: Extracting #4: cost 300 inf + 2532 387.029 * * [simplify]: Extracting #5: cost 245 inf + 14641 387.048 * * [simplify]: Extracting #6: cost 67 inf + 134227 387.096 * * [simplify]: Extracting #7: cost 0 inf + 186051 387.121 * * [simplify]: Extracting #8: cost 0 inf + 184370 387.170 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 387.170 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 387.170 * * * * [progress]: [ 467 / 667 ] simplifiying candidate # 387.171 * [simplify]: Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 387.171 * * [simplify]: iters left: 6 (9 enodes) 387.176 * * [simplify]: iters left: 5 (33 enodes) 387.186 * * [simplify]: iters left: 4 (42 enodes) 387.199 * * [simplify]: iters left: 3 (48 enodes) 387.212 * * [simplify]: iters left: 2 (54 enodes) 387.224 * * [simplify]: Extracting #0: cost 1 inf + 0 387.224 * * [simplify]: Extracting #1: cost 6 inf + 0 387.224 * * [simplify]: Extracting #2: cost 9 inf + 1 387.224 * * [simplify]: Extracting #3: cost 11 inf + 1 387.224 * * [simplify]: Extracting #4: cost 13 inf + 1 387.224 * * [simplify]: Extracting #5: cost 12 inf + 2 387.224 * * [simplify]: Extracting #6: cost 9 inf + 165 387.224 * * [simplify]: Extracting #7: cost 5 inf + 810 387.225 * * [simplify]: Extracting #8: cost 0 inf + 1858 387.226 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 387.226 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 387.226 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 387.226 * * [simplify]: iters left: 6 (15 enodes) 387.234 * * [simplify]: iters left: 5 (62 enodes) 387.249 * * [simplify]: iters left: 4 (107 enodes) 387.267 * * [simplify]: iters left: 3 (177 enodes) 387.303 * * [simplify]: iters left: 2 (355 enodes) 387.426 * * [simplify]: Extracting #0: cost 1 inf + 0 387.426 * * [simplify]: Extracting #1: cost 88 inf + 0 387.428 * * [simplify]: Extracting #2: cost 238 inf + 0 387.430 * * [simplify]: Extracting #3: cost 310 inf + 2 387.433 * * [simplify]: Extracting #4: cost 299 inf + 3879 387.439 * * [simplify]: Extracting #5: cost 243 inf + 16625 387.467 * * [simplify]: Extracting #6: cost 81 inf + 126694 387.502 * * [simplify]: Extracting #7: cost 1 inf + 190486 387.536 * * [simplify]: Extracting #8: cost 0 inf + 189370 387.566 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 387.566 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 387.566 * * * * [progress]: [ 468 / 667 ] simplifiying candidate # 387.567 * [simplify]: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 387.567 * * [simplify]: iters left: 6 (9 enodes) 387.571 * * [simplify]: iters left: 5 (32 enodes) 387.577 * * [simplify]: iters left: 4 (34 enodes) 387.582 * * [simplify]: iters left: 3 (38 enodes) 387.587 * * [simplify]: Extracting #0: cost 1 inf + 0 387.587 * * [simplify]: Extracting #1: cost 4 inf + 0 387.587 * * [simplify]: Extracting #2: cost 6 inf + 1 387.587 * * [simplify]: Extracting #3: cost 9 inf + 1 387.587 * * [simplify]: Extracting #4: cost 11 inf + 1 387.587 * * [simplify]: Extracting #5: cost 1 inf + 1213 387.588 * * [simplify]: Extracting #6: cost 0 inf + 1374 387.588 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 387.588 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 387.588 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 387.588 * * [simplify]: iters left: 6 (16 enodes) 387.592 * * [simplify]: iters left: 5 (65 enodes) 387.612 * * [simplify]: iters left: 4 (110 enodes) 387.642 * * [simplify]: iters left: 3 (184 enodes) 387.685 * * [simplify]: iters left: 2 (367 enodes) 387.824 * * [simplify]: Extracting #0: cost 1 inf + 0 387.825 * * [simplify]: Extracting #1: cost 86 inf + 0 387.825 * * [simplify]: Extracting #2: cost 239 inf + 0 387.826 * * [simplify]: Extracting #3: cost 312 inf + 2 387.828 * * [simplify]: Extracting #4: cost 291 inf + 6114 387.835 * * [simplify]: Extracting #5: cost 176 inf + 59226 387.851 * * [simplify]: Extracting #6: cost 71 inf + 131998 387.893 * * [simplify]: Extracting #7: cost 4 inf + 186864 387.949 * * [simplify]: Extracting #8: cost 0 inf + 190571 387.984 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 387.984 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 387.984 * * * * [progress]: [ 469 / 667 ] simplifiying candidate # 387.984 * [simplify]: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 387.984 * * [simplify]: iters left: 6 (9 enodes) 387.987 * * [simplify]: iters left: 5 (32 enodes) 387.992 * * [simplify]: iters left: 4 (34 enodes) 387.999 * * [simplify]: iters left: 3 (38 enodes) 388.009 * * [simplify]: Extracting #0: cost 1 inf + 0 388.009 * * [simplify]: Extracting #1: cost 4 inf + 0 388.009 * * [simplify]: Extracting #2: cost 5 inf + 1 388.009 * * [simplify]: Extracting #3: cost 8 inf + 1 388.009 * * [simplify]: Extracting #4: cost 11 inf + 1 388.009 * * [simplify]: Extracting #5: cost 1 inf + 1253 388.010 * * [simplify]: Extracting #6: cost 0 inf + 1374 388.010 * [simplify]: Simplified to (/ 1 (sqrt (fabs (cbrt k)))) 388.010 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 388.010 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 388.011 * * [simplify]: iters left: 6 (17 enodes) 388.020 * * [simplify]: iters left: 5 (68 enodes) 388.037 * * [simplify]: iters left: 4 (113 enodes) 388.059 * * [simplify]: iters left: 3 (186 enodes) 388.120 * * [simplify]: iters left: 2 (369 enodes) 388.225 * * [simplify]: Extracting #0: cost 1 inf + 0 388.225 * * [simplify]: Extracting #1: cost 88 inf + 0 388.226 * * [simplify]: Extracting #2: cost 240 inf + 0 388.232 * * [simplify]: Extracting #3: cost 314 inf + 2 388.235 * * [simplify]: Extracting #4: cost 299 inf + 3359 388.242 * * [simplify]: Extracting #5: cost 234 inf + 22374 388.271 * * [simplify]: Extracting #6: cost 60 inf + 148138 388.298 * * [simplify]: Extracting #7: cost 0 inf + 197383 388.338 * * [simplify]: Extracting #8: cost 0 inf + 193828 388.376 * * [simplify]: Extracting #9: cost 0 inf + 193788 388.427 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 388.427 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 388.428 * * * * [progress]: [ 470 / 667 ] simplifiying candidate # 388.428 * [simplify]: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) 388.428 * * [simplify]: iters left: 5 (8 enodes) 388.433 * * [simplify]: iters left: 4 (28 enodes) 388.442 * * [simplify]: iters left: 3 (30 enodes) 388.450 * * [simplify]: iters left: 2 (34 enodes) 388.458 * * [simplify]: Extracting #0: cost 1 inf + 0 388.458 * * [simplify]: Extracting #1: cost 4 inf + 0 388.458 * * [simplify]: Extracting #2: cost 5 inf + 1 388.458 * * [simplify]: Extracting #3: cost 7 inf + 1 388.458 * * [simplify]: Extracting #4: cost 9 inf + 1 388.459 * * [simplify]: Extracting #5: cost 7 inf + 43 388.459 * * [simplify]: Extracting #6: cost 4 inf + 286 388.459 * * [simplify]: Extracting #7: cost 0 inf + 812 388.459 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 388.459 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 388.460 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 388.460 * * [simplify]: iters left: 6 (15 enodes) 388.468 * * [simplify]: iters left: 5 (62 enodes) 388.488 * * [simplify]: iters left: 4 (107 enodes) 388.507 * * [simplify]: iters left: 3 (177 enodes) 388.557 * * [simplify]: iters left: 2 (355 enodes) 389.171 * * [simplify]: Extracting #0: cost 1 inf + 0 389.171 * * [simplify]: Extracting #1: cost 88 inf + 0 389.173 * * [simplify]: Extracting #2: cost 238 inf + 0 389.181 * * [simplify]: Extracting #3: cost 310 inf + 2 389.184 * * [simplify]: Extracting #4: cost 299 inf + 3679 389.190 * * [simplify]: Extracting #5: cost 243 inf + 16225 389.217 * * [simplify]: Extracting #6: cost 81 inf + 123974 389.250 * * [simplify]: Extracting #7: cost 1 inf + 185486 389.283 * * [simplify]: Extracting #8: cost 0 inf + 184330 389.313 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 389.313 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 389.313 * * * * [progress]: [ 471 / 667 ] simplifiying candidate # 389.313 * [simplify]: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) 389.314 * * [simplify]: iters left: 5 (5 enodes) 389.320 * * [simplify]: iters left: 4 (19 enodes) 389.326 * * [simplify]: iters left: 3 (21 enodes) 389.328 * * [simplify]: Extracting #0: cost 1 inf + 0 389.328 * * [simplify]: Extracting #1: cost 0 inf + 1 389.328 * [simplify]: Simplified to 1 389.329 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 389.329 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 389.329 * * [simplify]: iters left: 6 (14 enodes) 389.333 * * [simplify]: iters left: 5 (59 enodes) 389.343 * * [simplify]: iters left: 4 (96 enodes) 389.362 * * [simplify]: iters left: 3 (149 enodes) 389.401 * * [simplify]: iters left: 2 (265 enodes) 389.501 * * [simplify]: Extracting #0: cost 1 inf + 0 389.501 * * [simplify]: Extracting #1: cost 50 inf + 0 389.502 * * [simplify]: Extracting #2: cost 132 inf + 0 389.503 * * [simplify]: Extracting #3: cost 195 inf + 3 389.505 * * [simplify]: Extracting #4: cost 179 inf + 4407 389.509 * * [simplify]: Extracting #5: cost 137 inf + 11514 389.526 * * [simplify]: Extracting #6: cost 57 inf + 57747 389.538 * * [simplify]: Extracting #7: cost 0 inf + 100144 389.551 * * [simplify]: Extracting #8: cost 0 inf + 98303 389.568 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 389.568 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 389.568 * * * * [progress]: [ 472 / 667 ] simplifiying candidate # 389.568 * [simplify]: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) 389.568 * * [simplify]: iters left: 5 (8 enodes) 389.573 * * [simplify]: iters left: 4 (28 enodes) 389.582 * * [simplify]: iters left: 3 (30 enodes) 389.590 * * [simplify]: iters left: 2 (34 enodes) 389.595 * * [simplify]: Extracting #0: cost 1 inf + 0 389.595 * * [simplify]: Extracting #1: cost 4 inf + 0 389.595 * * [simplify]: Extracting #2: cost 5 inf + 1 389.595 * * [simplify]: Extracting #3: cost 7 inf + 1 389.595 * * [simplify]: Extracting #4: cost 9 inf + 1 389.595 * * [simplify]: Extracting #5: cost 7 inf + 43 389.595 * * [simplify]: Extracting #6: cost 4 inf + 286 389.595 * * [simplify]: Extracting #7: cost 0 inf + 812 389.595 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 389.595 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 389.596 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 389.596 * * [simplify]: iters left: 6 (15 enodes) 389.600 * * [simplify]: iters left: 5 (62 enodes) 389.611 * * [simplify]: iters left: 4 (107 enodes) 389.636 * * [simplify]: iters left: 3 (177 enodes) 389.682 * * [simplify]: iters left: 2 (355 enodes) 389.826 * * [simplify]: Extracting #0: cost 1 inf + 0 389.827 * * [simplify]: Extracting #1: cost 88 inf + 0 389.827 * * [simplify]: Extracting #2: cost 238 inf + 0 389.828 * * [simplify]: Extracting #3: cost 310 inf + 2 389.830 * * [simplify]: Extracting #4: cost 299 inf + 3679 389.839 * * [simplify]: Extracting #5: cost 243 inf + 16225 389.866 * * [simplify]: Extracting #6: cost 81 inf + 123974 389.913 * * [simplify]: Extracting #7: cost 1 inf + 185486 389.938 * * [simplify]: Extracting #8: cost 0 inf + 184330 389.981 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 389.982 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 389.982 * * * * [progress]: [ 473 / 667 ] simplifiying candidate # 389.982 * [simplify]: Simplifying (/ (/ 1 (sqrt 1)) (sqrt 1)) 389.982 * * [simplify]: iters left: 5 (4 enodes) 389.984 * * [simplify]: iters left: 4 (16 enodes) 389.987 * * [simplify]: iters left: 3 (18 enodes) 389.989 * * [simplify]: Extracting #0: cost 1 inf + 0 389.989 * * [simplify]: Extracting #1: cost 0 inf + 1 389.989 * [simplify]: Simplified to 1 389.989 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 389.990 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 389.990 * * [simplify]: iters left: 6 (14 enodes) 389.994 * * [simplify]: iters left: 5 (59 enodes) 390.005 * * [simplify]: iters left: 4 (96 enodes) 390.021 * * [simplify]: iters left: 3 (149 enodes) 390.061 * * [simplify]: iters left: 2 (265 enodes) 390.158 * * [simplify]: Extracting #0: cost 1 inf + 0 390.158 * * [simplify]: Extracting #1: cost 50 inf + 0 390.159 * * [simplify]: Extracting #2: cost 132 inf + 0 390.160 * * [simplify]: Extracting #3: cost 195 inf + 3 390.162 * * [simplify]: Extracting #4: cost 179 inf + 4407 390.166 * * [simplify]: Extracting #5: cost 137 inf + 11514 390.179 * * [simplify]: Extracting #6: cost 57 inf + 57747 390.207 * * [simplify]: Extracting #7: cost 0 inf + 100144 390.231 * * [simplify]: Extracting #8: cost 0 inf + 98303 390.244 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 390.244 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 390.244 * * * * [progress]: [ 474 / 667 ] simplifiying candidate # 390.244 * [simplify]: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) 390.244 * * [simplify]: iters left: 5 (8 enodes) 390.247 * * [simplify]: iters left: 4 (28 enodes) 390.252 * * [simplify]: iters left: 3 (30 enodes) 390.257 * * [simplify]: iters left: 2 (34 enodes) 390.261 * * [simplify]: Extracting #0: cost 1 inf + 0 390.261 * * [simplify]: Extracting #1: cost 4 inf + 0 390.261 * * [simplify]: Extracting #2: cost 5 inf + 1 390.261 * * [simplify]: Extracting #3: cost 7 inf + 1 390.261 * * [simplify]: Extracting #4: cost 9 inf + 1 390.262 * * [simplify]: Extracting #5: cost 7 inf + 43 390.262 * * [simplify]: Extracting #6: cost 4 inf + 286 390.262 * * [simplify]: Extracting #7: cost 0 inf + 812 390.262 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 390.262 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 390.262 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 390.262 * * [simplify]: iters left: 6 (15 enodes) 390.266 * * [simplify]: iters left: 5 (62 enodes) 390.287 * * [simplify]: iters left: 4 (107 enodes) 390.320 * * [simplify]: iters left: 3 (177 enodes) 390.373 * * [simplify]: iters left: 2 (355 enodes) 390.505 * * [simplify]: Extracting #0: cost 1 inf + 0 390.506 * * [simplify]: Extracting #1: cost 88 inf + 0 390.507 * * [simplify]: Extracting #2: cost 238 inf + 0 390.509 * * [simplify]: Extracting #3: cost 310 inf + 2 390.512 * * [simplify]: Extracting #4: cost 299 inf + 3679 390.518 * * [simplify]: Extracting #5: cost 243 inf + 16225 390.551 * * [simplify]: Extracting #6: cost 81 inf + 123974 390.575 * * [simplify]: Extracting #7: cost 1 inf + 185486 390.608 * * [simplify]: Extracting #8: cost 0 inf + 184330 390.645 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 390.645 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 390.645 * * * * [progress]: [ 475 / 667 ] simplifiying candidate # 390.646 * [simplify]: Simplifying (/ (/ 1 (sqrt 1)) 1) 390.646 * * [simplify]: iters left: 5 (4 enodes) 390.655 * * [simplify]: iters left: 4 (14 enodes) 390.659 * * [simplify]: iters left: 3 (16 enodes) 390.662 * * [simplify]: Extracting #0: cost 1 inf + 0 390.662 * * [simplify]: Extracting #1: cost 0 inf + 1 390.662 * [simplify]: Simplified to 1 390.662 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 390.663 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 390.663 * * [simplify]: iters left: 6 (14 enodes) 390.671 * * [simplify]: iters left: 5 (59 enodes) 390.691 * * [simplify]: iters left: 4 (96 enodes) 390.719 * * [simplify]: iters left: 3 (149 enodes) 390.769 * * [simplify]: iters left: 2 (265 enodes) 390.855 * * [simplify]: Extracting #0: cost 1 inf + 0 390.855 * * [simplify]: Extracting #1: cost 50 inf + 0 390.856 * * [simplify]: Extracting #2: cost 132 inf + 0 390.857 * * [simplify]: Extracting #3: cost 195 inf + 3 390.859 * * [simplify]: Extracting #4: cost 179 inf + 4407 390.864 * * [simplify]: Extracting #5: cost 137 inf + 11514 390.876 * * [simplify]: Extracting #6: cost 57 inf + 57747 390.901 * * [simplify]: Extracting #7: cost 0 inf + 100144 390.927 * * [simplify]: Extracting #8: cost 0 inf + 98303 390.949 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 390.949 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 390.949 * * * * [progress]: [ 476 / 667 ] simplifiying candidate # 390.949 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 390.950 * * [simplify]: iters left: 6 (9 enodes) 390.954 * * [simplify]: iters left: 5 (33 enodes) 390.963 * * [simplify]: iters left: 4 (45 enodes) 390.975 * * [simplify]: iters left: 3 (54 enodes) 390.988 * * [simplify]: iters left: 2 (57 enodes) 391.003 * * [simplify]: Extracting #0: cost 1 inf + 0 391.003 * * [simplify]: Extracting #1: cost 10 inf + 0 391.003 * * [simplify]: Extracting #2: cost 19 inf + 1 391.003 * * [simplify]: Extracting #3: cost 23 inf + 1 391.003 * * [simplify]: Extracting #4: cost 25 inf + 1 391.003 * * [simplify]: Extracting #5: cost 24 inf + 2 391.004 * * [simplify]: Extracting #6: cost 18 inf + 569 391.005 * * [simplify]: Extracting #7: cost 4 inf + 3750 391.006 * * [simplify]: Extracting #8: cost 0 inf + 4676 391.007 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 391.007 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 391.008 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 391.008 * * [simplify]: iters left: 6 (16 enodes) 391.016 * * [simplify]: iters left: 5 (65 enodes) 391.038 * * [simplify]: iters left: 4 (110 enodes) 391.076 * * [simplify]: iters left: 3 (184 enodes) 391.112 * * [simplify]: iters left: 2 (367 enodes) 391.248 * * [simplify]: Extracting #0: cost 1 inf + 0 391.248 * * [simplify]: Extracting #1: cost 86 inf + 0 391.249 * * [simplify]: Extracting #2: cost 238 inf + 0 391.250 * * [simplify]: Extracting #3: cost 310 inf + 2 391.255 * * [simplify]: Extracting #4: cost 320 inf + 179 391.257 * * [simplify]: Extracting #5: cost 293 inf + 2834 391.260 * * [simplify]: Extracting #6: cost 243 inf + 15112 391.279 * * [simplify]: Extracting #7: cost 114 inf + 95401 391.327 * * [simplify]: Extracting #8: cost 10 inf + 184986 391.373 * * [simplify]: Extracting #9: cost 0 inf + 193131 391.401 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 391.401 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 391.402 * * * * [progress]: [ 477 / 667 ] simplifiying candidate # 391.402 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 391.402 * * [simplify]: iters left: 6 (10 enodes) 391.405 * * [simplify]: iters left: 5 (35 enodes) 391.414 * * [simplify]: iters left: 4 (42 enodes) 391.425 * * [simplify]: iters left: 3 (44 enodes) 391.437 * * [simplify]: Extracting #0: cost 1 inf + 0 391.437 * * [simplify]: Extracting #1: cost 8 inf + 0 391.437 * * [simplify]: Extracting #2: cost 15 inf + 1 391.437 * * [simplify]: Extracting #3: cost 19 inf + 1 391.437 * * [simplify]: Extracting #4: cost 21 inf + 1 391.437 * * [simplify]: Extracting #5: cost 20 inf + 2 391.438 * * [simplify]: Extracting #6: cost 12 inf + 1051 391.438 * * [simplify]: Extracting #7: cost 2 inf + 2824 391.439 * * [simplify]: Extracting #8: cost 0 inf + 3308 391.440 * [simplify]: Simplified to (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 391.440 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 391.441 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 391.441 * * [simplify]: iters left: 6 (17 enodes) 391.449 * * [simplify]: iters left: 5 (68 enodes) 391.472 * * [simplify]: iters left: 4 (113 enodes) 391.504 * * [simplify]: iters left: 3 (186 enodes) 391.545 * * [simplify]: iters left: 2 (369 enodes) 391.697 * * [simplify]: Extracting #0: cost 1 inf + 0 391.697 * * [simplify]: Extracting #1: cost 89 inf + 0 391.698 * * [simplify]: Extracting #2: cost 242 inf + 0 391.700 * * [simplify]: Extracting #3: cost 315 inf + 2 391.701 * * [simplify]: Extracting #4: cost 324 inf + 262 391.703 * * [simplify]: Extracting #5: cost 299 inf + 3415 391.706 * * [simplify]: Extracting #6: cost 241 inf + 19223 391.725 * * [simplify]: Extracting #7: cost 76 inf + 130879 391.751 * * [simplify]: Extracting #8: cost 0 inf + 198664 391.805 * * [simplify]: Extracting #9: cost 0 inf + 198031 391.839 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 391.839 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 391.839 * * * * [progress]: [ 478 / 667 ] simplifiying candidate # 391.839 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 391.840 * * [simplify]: iters left: 6 (11 enodes) 391.843 * * [simplify]: iters left: 5 (38 enodes) 391.849 * * [simplify]: iters left: 4 (45 enodes) 391.862 * * [simplify]: iters left: 3 (47 enodes) 391.869 * * [simplify]: Extracting #0: cost 1 inf + 0 391.869 * * [simplify]: Extracting #1: cost 8 inf + 0 391.869 * * [simplify]: Extracting #2: cost 14 inf + 1 391.869 * * [simplify]: Extracting #3: cost 19 inf + 1 391.869 * * [simplify]: Extracting #4: cost 23 inf + 1 391.869 * * [simplify]: Extracting #5: cost 22 inf + 2 391.869 * * [simplify]: Extracting #6: cost 8 inf + 1538 391.870 * * [simplify]: Extracting #7: cost 2 inf + 3027 391.870 * * [simplify]: Extracting #8: cost 0 inf + 3550 391.871 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) 391.871 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 391.871 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 391.871 * * [simplify]: iters left: 6 (18 enodes) 391.876 * * [simplify]: iters left: 5 (71 enodes) 391.888 * * [simplify]: iters left: 4 (116 enodes) 391.915 * * [simplify]: iters left: 3 (185 enodes) 391.958 * * [simplify]: iters left: 2 (363 enodes) 392.096 * * [simplify]: Extracting #0: cost 1 inf + 0 392.096 * * [simplify]: Extracting #1: cost 87 inf + 0 392.098 * * [simplify]: Extracting #2: cost 239 inf + 0 392.099 * * [simplify]: Extracting #3: cost 315 inf + 2 392.102 * * [simplify]: Extracting #4: cost 324 inf + 262 392.105 * * [simplify]: Extracting #5: cost 297 inf + 3450 392.111 * * [simplify]: Extracting #6: cost 236 inf + 20337 392.126 * * [simplify]: Extracting #7: cost 140 inf + 83515 392.155 * * [simplify]: Extracting #8: cost 29 inf + 178519 392.189 * * [simplify]: Extracting #9: cost 0 inf + 203422 392.231 * * [simplify]: Extracting #10: cost 0 inf + 203211 392.269 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 392.269 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 392.270 * * * * [progress]: [ 479 / 667 ] simplifiying candidate # 392.270 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 392.270 * * [simplify]: iters left: 6 (7 enodes) 392.272 * * [simplify]: iters left: 5 (25 enodes) 392.276 * * [simplify]: iters left: 4 (27 enodes) 392.280 * * [simplify]: iters left: 3 (28 enodes) 392.285 * * [simplify]: Extracting #0: cost 1 inf + 0 392.285 * * [simplify]: Extracting #1: cost 6 inf + 0 392.285 * * [simplify]: Extracting #2: cost 9 inf + 1 392.285 * * [simplify]: Extracting #3: cost 11 inf + 1 392.285 * * [simplify]: Extracting #4: cost 10 inf + 2 392.286 * * [simplify]: Extracting #5: cost 1 inf + 935 392.286 * * [simplify]: Extracting #6: cost 0 inf + 1056 392.286 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 392.286 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 392.287 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 392.287 * * [simplify]: iters left: 6 (15 enodes) 392.294 * * [simplify]: iters left: 5 (62 enodes) 392.307 * * [simplify]: iters left: 4 (99 enodes) 392.322 * * [simplify]: iters left: 3 (152 enodes) 392.367 * * [simplify]: iters left: 2 (268 enodes) 392.439 * * [simplify]: Extracting #0: cost 1 inf + 0 392.439 * * [simplify]: Extracting #1: cost 50 inf + 0 392.439 * * [simplify]: Extracting #2: cost 130 inf + 0 392.440 * * [simplify]: Extracting #3: cost 193 inf + 2 392.441 * * [simplify]: Extracting #4: cost 178 inf + 3244 392.445 * * [simplify]: Extracting #5: cost 123 inf + 15848 392.464 * * [simplify]: Extracting #6: cost 28 inf + 78941 392.478 * * [simplify]: Extracting #7: cost 2 inf + 99807 392.492 * * [simplify]: Extracting #8: cost 0 inf + 100989 392.513 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 392.513 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 392.513 * * * * [progress]: [ 480 / 667 ] simplifiying candidate # 392.513 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 392.513 * * [simplify]: iters left: 6 (9 enodes) 392.518 * * [simplify]: iters left: 5 (31 enodes) 392.523 * * [simplify]: iters left: 4 (35 enodes) 392.528 * * [simplify]: iters left: 3 (39 enodes) 392.532 * * [simplify]: Extracting #0: cost 1 inf + 0 392.532 * * [simplify]: Extracting #1: cost 4 inf + 0 392.532 * * [simplify]: Extracting #2: cost 5 inf + 1 392.532 * * [simplify]: Extracting #3: cost 7 inf + 1 392.532 * * [simplify]: Extracting #4: cost 9 inf + 1 392.532 * * [simplify]: Extracting #5: cost 8 inf + 2 392.532 * * [simplify]: Extracting #6: cost 5 inf + 165 392.532 * * [simplify]: Extracting #7: cost 2 inf + 529 392.533 * * [simplify]: Extracting #8: cost 0 inf + 812 392.533 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 392.533 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 392.533 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 392.533 * * [simplify]: iters left: 6 (15 enodes) 392.540 * * [simplify]: iters left: 5 (62 enodes) 392.556 * * [simplify]: iters left: 4 (107 enodes) 392.576 * * [simplify]: iters left: 3 (177 enodes) 392.618 * * [simplify]: iters left: 2 (355 enodes) 392.792 * * [simplify]: Extracting #0: cost 1 inf + 0 392.792 * * [simplify]: Extracting #1: cost 88 inf + 0 392.794 * * [simplify]: Extracting #2: cost 238 inf + 0 392.796 * * [simplify]: Extracting #3: cost 310 inf + 2 392.798 * * [simplify]: Extracting #4: cost 300 inf + 2532 392.804 * * [simplify]: Extracting #5: cost 245 inf + 14641 392.834 * * [simplify]: Extracting #6: cost 67 inf + 134227 392.883 * * [simplify]: Extracting #7: cost 0 inf + 186051 392.933 * * [simplify]: Extracting #8: cost 0 inf + 184370 392.966 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 392.967 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 392.967 * * * * [progress]: [ 481 / 667 ] simplifiying candidate # 392.967 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 392.967 * * [simplify]: iters left: 6 (7 enodes) 392.971 * * [simplify]: iters left: 5 (25 enodes) 392.978 * * [simplify]: iters left: 4 (27 enodes) 392.986 * * [simplify]: iters left: 3 (28 enodes) 392.994 * * [simplify]: Extracting #0: cost 1 inf + 0 392.994 * * [simplify]: Extracting #1: cost 6 inf + 0 392.994 * * [simplify]: Extracting #2: cost 9 inf + 1 392.994 * * [simplify]: Extracting #3: cost 11 inf + 1 392.995 * * [simplify]: Extracting #4: cost 10 inf + 2 392.995 * * [simplify]: Extracting #5: cost 1 inf + 935 392.995 * * [simplify]: Extracting #6: cost 0 inf + 1056 392.996 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 392.996 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 392.996 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 392.996 * * [simplify]: iters left: 6 (15 enodes) 393.004 * * [simplify]: iters left: 5 (62 enodes) 393.025 * * [simplify]: iters left: 4 (99 enodes) 393.055 * * [simplify]: iters left: 3 (152 enodes) 393.102 * * [simplify]: iters left: 2 (268 enodes) 393.169 * * [simplify]: Extracting #0: cost 1 inf + 0 393.169 * * [simplify]: Extracting #1: cost 50 inf + 0 393.169 * * [simplify]: Extracting #2: cost 130 inf + 0 393.170 * * [simplify]: Extracting #3: cost 193 inf + 2 393.174 * * [simplify]: Extracting #4: cost 178 inf + 3244 393.177 * * [simplify]: Extracting #5: cost 123 inf + 15848 393.185 * * [simplify]: Extracting #6: cost 28 inf + 78941 393.203 * * [simplify]: Extracting #7: cost 2 inf + 99807 393.220 * * [simplify]: Extracting #8: cost 0 inf + 100989 393.234 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 393.234 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 393.234 * * * * [progress]: [ 482 / 667 ] simplifiying candidate # 393.234 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) 393.235 * * [simplify]: iters left: 6 (8 enodes) 393.238 * * [simplify]: iters left: 5 (28 enodes) 393.243 * * [simplify]: iters left: 4 (32 enodes) 393.247 * * [simplify]: iters left: 3 (36 enodes) 393.252 * * [simplify]: Extracting #0: cost 1 inf + 0 393.252 * * [simplify]: Extracting #1: cost 4 inf + 0 393.252 * * [simplify]: Extracting #2: cost 5 inf + 1 393.252 * * [simplify]: Extracting #3: cost 7 inf + 1 393.252 * * [simplify]: Extracting #4: cost 9 inf + 1 393.252 * * [simplify]: Extracting #5: cost 6 inf + 84 393.252 * * [simplify]: Extracting #6: cost 2 inf + 610 393.252 * * [simplify]: Extracting #7: cost 0 inf + 812 393.252 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 393.252 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 393.253 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 393.253 * * [simplify]: iters left: 6 (15 enodes) 393.257 * * [simplify]: iters left: 5 (62 enodes) 393.270 * * [simplify]: iters left: 4 (107 enodes) 393.303 * * [simplify]: iters left: 3 (177 enodes) 393.343 * * [simplify]: iters left: 2 (355 enodes) 393.508 * * [simplify]: Extracting #0: cost 1 inf + 0 393.509 * * [simplify]: Extracting #1: cost 88 inf + 0 393.510 * * [simplify]: Extracting #2: cost 238 inf + 0 393.512 * * [simplify]: Extracting #3: cost 310 inf + 2 393.515 * * [simplify]: Extracting #4: cost 300 inf + 2532 393.521 * * [simplify]: Extracting #5: cost 245 inf + 14641 393.541 * * [simplify]: Extracting #6: cost 67 inf + 134227 393.576 * * [simplify]: Extracting #7: cost 0 inf + 186051 393.620 * * [simplify]: Extracting #8: cost 0 inf + 184370 393.655 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 393.655 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 393.655 * * * * [progress]: [ 483 / 667 ] simplifiying candidate # 393.656 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 393.656 * * [simplify]: iters left: 6 (7 enodes) 393.660 * * [simplify]: iters left: 5 (25 enodes) 393.667 * * [simplify]: iters left: 4 (27 enodes) 393.675 * * [simplify]: iters left: 3 (28 enodes) 393.684 * * [simplify]: Extracting #0: cost 1 inf + 0 393.684 * * [simplify]: Extracting #1: cost 6 inf + 0 393.684 * * [simplify]: Extracting #2: cost 9 inf + 1 393.684 * * [simplify]: Extracting #3: cost 11 inf + 1 393.684 * * [simplify]: Extracting #4: cost 10 inf + 2 393.684 * * [simplify]: Extracting #5: cost 1 inf + 935 393.685 * * [simplify]: Extracting #6: cost 0 inf + 1056 393.685 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 393.685 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 393.686 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 393.686 * * [simplify]: iters left: 6 (15 enodes) 393.694 * * [simplify]: iters left: 5 (62 enodes) 393.714 * * [simplify]: iters left: 4 (99 enodes) 393.745 * * [simplify]: iters left: 3 (152 enodes) 393.799 * * [simplify]: iters left: 2 (268 enodes) 393.901 * * [simplify]: Extracting #0: cost 1 inf + 0 393.902 * * [simplify]: Extracting #1: cost 50 inf + 0 393.902 * * [simplify]: Extracting #2: cost 130 inf + 0 393.902 * * [simplify]: Extracting #3: cost 193 inf + 2 393.903 * * [simplify]: Extracting #4: cost 178 inf + 3244 393.906 * * [simplify]: Extracting #5: cost 123 inf + 15848 393.915 * * [simplify]: Extracting #6: cost 28 inf + 78941 393.941 * * [simplify]: Extracting #7: cost 2 inf + 99807 393.963 * * [simplify]: Extracting #8: cost 0 inf + 100989 393.977 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 393.977 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 393.977 * * * * [progress]: [ 484 / 667 ] simplifiying candidate # 393.978 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) 393.978 * * [simplify]: iters left: 6 (7 enodes) 393.980 * * [simplify]: iters left: 5 (23 enodes) 393.984 * * [simplify]: iters left: 4 (28 enodes) 393.991 * * [simplify]: iters left: 3 (32 enodes) 393.998 * * [simplify]: Extracting #0: cost 1 inf + 0 393.998 * * [simplify]: Extracting #1: cost 4 inf + 0 393.998 * * [simplify]: Extracting #2: cost 5 inf + 1 393.998 * * [simplify]: Extracting #3: cost 7 inf + 1 393.998 * * [simplify]: Extracting #4: cost 9 inf + 1 393.998 * * [simplify]: Extracting #5: cost 8 inf + 2 393.999 * * [simplify]: Extracting #6: cost 2 inf + 529 393.999 * * [simplify]: Extracting #7: cost 0 inf + 812 393.999 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 393.999 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 394.000 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 394.000 * * [simplify]: iters left: 6 (15 enodes) 394.007 * * [simplify]: iters left: 5 (62 enodes) 394.030 * * [simplify]: iters left: 4 (107 enodes) 394.063 * * [simplify]: iters left: 3 (177 enodes) 394.126 * * [simplify]: iters left: 2 (355 enodes) 394.285 * * [simplify]: Extracting #0: cost 1 inf + 0 394.285 * * [simplify]: Extracting #1: cost 88 inf + 0 394.285 * * [simplify]: Extracting #2: cost 238 inf + 0 394.286 * * [simplify]: Extracting #3: cost 310 inf + 2 394.288 * * [simplify]: Extracting #4: cost 300 inf + 2532 394.291 * * [simplify]: Extracting #5: cost 245 inf + 14641 394.309 * * [simplify]: Extracting #6: cost 67 inf + 134227 394.359 * * [simplify]: Extracting #7: cost 0 inf + 186051 394.394 * * [simplify]: Extracting #8: cost 0 inf + 184370 394.432 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 394.432 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 394.432 * * * * [progress]: [ 485 / 667 ] simplifiying candidate # 394.433 * [simplify]: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 394.433 * * [simplify]: iters left: 6 (8 enodes) 394.437 * * [simplify]: iters left: 5 (26 enodes) 394.444 * * [simplify]: iters left: 4 (32 enodes) 394.453 * * [simplify]: iters left: 3 (34 enodes) 394.461 * * [simplify]: Extracting #0: cost 1 inf + 0 394.461 * * [simplify]: Extracting #1: cost 7 inf + 0 394.461 * * [simplify]: Extracting #2: cost 11 inf + 1 394.461 * * [simplify]: Extracting #3: cost 13 inf + 1 394.461 * * [simplify]: Extracting #4: cost 15 inf + 1 394.461 * * [simplify]: Extracting #5: cost 13 inf + 43 394.461 * * [simplify]: Extracting #6: cost 7 inf + 811 394.461 * * [simplify]: Extracting #7: cost 1 inf + 2020 394.461 * * [simplify]: Extracting #8: cost 0 inf + 2262 394.462 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 394.462 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 394.462 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 394.462 * * [simplify]: iters left: 6 (15 enodes) 394.466 * * [simplify]: iters left: 5 (62 enodes) 394.477 * * [simplify]: iters left: 4 (107 enodes) 394.499 * * [simplify]: iters left: 3 (177 enodes) 394.565 * * [simplify]: iters left: 2 (355 enodes) 394.697 * * [simplify]: Extracting #0: cost 1 inf + 0 394.697 * * [simplify]: Extracting #1: cost 88 inf + 0 394.698 * * [simplify]: Extracting #2: cost 238 inf + 0 394.700 * * [simplify]: Extracting #3: cost 310 inf + 2 394.701 * * [simplify]: Extracting #4: cost 299 inf + 3879 394.705 * * [simplify]: Extracting #5: cost 243 inf + 16625 394.725 * * [simplify]: Extracting #6: cost 81 inf + 126694 394.754 * * [simplify]: Extracting #7: cost 1 inf + 190486 394.779 * * [simplify]: Extracting #8: cost 0 inf + 189370 394.805 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 394.805 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 394.805 * * * * [progress]: [ 486 / 667 ] simplifiying candidate # 394.805 * [simplify]: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 394.805 * * [simplify]: iters left: 6 (8 enodes) 394.808 * * [simplify]: iters left: 5 (25 enodes) 394.817 * * [simplify]: iters left: 4 (27 enodes) 394.825 * * [simplify]: Extracting #0: cost 1 inf + 0 394.825 * * [simplify]: Extracting #1: cost 4 inf + 0 394.825 * * [simplify]: Extracting #2: cost 6 inf + 1 394.825 * * [simplify]: Extracting #3: cost 9 inf + 1 394.825 * * [simplify]: Extracting #4: cost 11 inf + 1 394.825 * * [simplify]: Extracting #5: cost 8 inf + 84 394.825 * * [simplify]: Extracting #6: cost 2 inf + 1052 394.826 * * [simplify]: Extracting #7: cost 0 inf + 1374 394.826 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 394.826 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 394.827 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 394.827 * * [simplify]: iters left: 6 (16 enodes) 394.835 * * [simplify]: iters left: 5 (65 enodes) 394.857 * * [simplify]: iters left: 4 (110 enodes) 394.882 * * [simplify]: iters left: 3 (184 enodes) 394.934 * * [simplify]: iters left: 2 (367 enodes) 395.045 * * [simplify]: Extracting #0: cost 1 inf + 0 395.045 * * [simplify]: Extracting #1: cost 86 inf + 0 395.046 * * [simplify]: Extracting #2: cost 239 inf + 0 395.047 * * [simplify]: Extracting #3: cost 312 inf + 2 395.049 * * [simplify]: Extracting #4: cost 291 inf + 6114 395.055 * * [simplify]: Extracting #5: cost 176 inf + 59226 395.072 * * [simplify]: Extracting #6: cost 71 inf + 131998 395.120 * * [simplify]: Extracting #7: cost 4 inf + 186864 395.146 * * [simplify]: Extracting #8: cost 0 inf + 190571 395.193 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 395.193 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 395.193 * * * * [progress]: [ 487 / 667 ] simplifiying candidate # 395.193 * [simplify]: Simplifying (/ (/ 1 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 395.193 * * [simplify]: iters left: 6 (8 enodes) 395.197 * * [simplify]: iters left: 5 (25 enodes) 395.205 * * [simplify]: iters left: 4 (27 enodes) 395.213 * * [simplify]: Extracting #0: cost 1 inf + 0 395.213 * * [simplify]: Extracting #1: cost 4 inf + 0 395.213 * * [simplify]: Extracting #2: cost 5 inf + 1 395.213 * * [simplify]: Extracting #3: cost 8 inf + 1 395.213 * * [simplify]: Extracting #4: cost 11 inf + 1 395.213 * * [simplify]: Extracting #5: cost 8 inf + 164 395.213 * * [simplify]: Extracting #6: cost 2 inf + 1092 395.214 * * [simplify]: Extracting #7: cost 0 inf + 1374 395.214 * [simplify]: Simplified to (/ 1 (sqrt (fabs (cbrt k)))) 395.214 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 395.214 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 395.214 * * [simplify]: iters left: 6 (17 enodes) 395.223 * * [simplify]: iters left: 5 (68 enodes) 395.245 * * [simplify]: iters left: 4 (113 enodes) 395.278 * * [simplify]: iters left: 3 (186 enodes) 395.322 * * [simplify]: iters left: 2 (369 enodes) 395.475 * * [simplify]: Extracting #0: cost 1 inf + 0 395.475 * * [simplify]: Extracting #1: cost 88 inf + 0 395.476 * * [simplify]: Extracting #2: cost 240 inf + 0 395.477 * * [simplify]: Extracting #3: cost 314 inf + 2 395.478 * * [simplify]: Extracting #4: cost 299 inf + 3359 395.482 * * [simplify]: Extracting #5: cost 234 inf + 22374 395.499 * * [simplify]: Extracting #6: cost 60 inf + 148138 395.548 * * [simplify]: Extracting #7: cost 0 inf + 197383 395.603 * * [simplify]: Extracting #8: cost 0 inf + 193828 395.634 * * [simplify]: Extracting #9: cost 0 inf + 193788 395.668 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 395.668 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 395.669 * * * * [progress]: [ 488 / 667 ] simplifiying candidate # 395.669 * [simplify]: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) 395.669 * * [simplify]: iters left: 5 (7 enodes) 395.671 * * [simplify]: iters left: 4 (21 enodes) 395.674 * * [simplify]: iters left: 3 (23 enodes) 395.678 * * [simplify]: Extracting #0: cost 1 inf + 0 395.678 * * [simplify]: Extracting #1: cost 4 inf + 0 395.678 * * [simplify]: Extracting #2: cost 5 inf + 1 395.678 * * [simplify]: Extracting #3: cost 7 inf + 1 395.678 * * [simplify]: Extracting #4: cost 9 inf + 1 395.678 * * [simplify]: Extracting #5: cost 1 inf + 650 395.678 * * [simplify]: Extracting #6: cost 0 inf + 812 395.678 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 395.679 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 395.679 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 395.679 * * [simplify]: iters left: 6 (15 enodes) 395.683 * * [simplify]: iters left: 5 (62 enodes) 395.694 * * [simplify]: iters left: 4 (107 enodes) 395.730 * * [simplify]: iters left: 3 (177 enodes) 395.769 * * [simplify]: iters left: 2 (355 enodes) 395.892 * * [simplify]: Extracting #0: cost 1 inf + 0 395.892 * * [simplify]: Extracting #1: cost 88 inf + 0 395.894 * * [simplify]: Extracting #2: cost 238 inf + 0 395.901 * * [simplify]: Extracting #3: cost 310 inf + 2 395.904 * * [simplify]: Extracting #4: cost 299 inf + 3679 395.910 * * [simplify]: Extracting #5: cost 243 inf + 16225 395.937 * * [simplify]: Extracting #6: cost 81 inf + 123974 395.967 * * [simplify]: Extracting #7: cost 1 inf + 185486 395.993 * * [simplify]: Extracting #8: cost 0 inf + 184330 396.034 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 396.034 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 396.034 * * * * [progress]: [ 489 / 667 ] simplifiying candidate # 396.035 * [simplify]: Simplifying (/ (/ 1 1) (sqrt (sqrt 1))) 396.035 * * [simplify]: iters left: 4 (5 enodes) 396.044 * * [simplify]: iters left: 3 (15 enodes) 396.048 * * [simplify]: iters left: 2 (17 enodes) 396.051 * * [simplify]: Extracting #0: cost 1 inf + 0 396.051 * * [simplify]: Extracting #1: cost 0 inf + 1 396.051 * [simplify]: Simplified to 1 396.051 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 396.052 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 396.052 * * [simplify]: iters left: 6 (14 enodes) 396.059 * * [simplify]: iters left: 5 (59 enodes) 396.080 * * [simplify]: iters left: 4 (96 enodes) 396.109 * * [simplify]: iters left: 3 (149 enodes) 396.162 * * [simplify]: iters left: 2 (265 enodes) 396.240 * * [simplify]: Extracting #0: cost 1 inf + 0 396.241 * * [simplify]: Extracting #1: cost 50 inf + 0 396.241 * * [simplify]: Extracting #2: cost 132 inf + 0 396.242 * * [simplify]: Extracting #3: cost 195 inf + 3 396.244 * * [simplify]: Extracting #4: cost 179 inf + 4407 396.249 * * [simplify]: Extracting #5: cost 137 inf + 11514 396.265 * * [simplify]: Extracting #6: cost 57 inf + 57747 396.289 * * [simplify]: Extracting #7: cost 0 inf + 100144 396.314 * * [simplify]: Extracting #8: cost 0 inf + 98303 396.338 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 396.339 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 396.339 * * * * [progress]: [ 490 / 667 ] simplifiying candidate # 396.339 * [simplify]: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) 396.339 * * [simplify]: iters left: 5 (7 enodes) 396.343 * * [simplify]: iters left: 4 (21 enodes) 396.350 * * [simplify]: iters left: 3 (23 enodes) 396.356 * * [simplify]: Extracting #0: cost 1 inf + 0 396.356 * * [simplify]: Extracting #1: cost 4 inf + 0 396.356 * * [simplify]: Extracting #2: cost 5 inf + 1 396.356 * * [simplify]: Extracting #3: cost 7 inf + 1 396.356 * * [simplify]: Extracting #4: cost 9 inf + 1 396.357 * * [simplify]: Extracting #5: cost 1 inf + 650 396.357 * * [simplify]: Extracting #6: cost 0 inf + 812 396.357 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 396.357 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 396.358 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 396.358 * * [simplify]: iters left: 6 (15 enodes) 396.366 * * [simplify]: iters left: 5 (62 enodes) 396.387 * * [simplify]: iters left: 4 (107 enodes) 396.420 * * [simplify]: iters left: 3 (177 enodes) 396.462 * * [simplify]: iters left: 2 (355 enodes) 396.636 * * [simplify]: Extracting #0: cost 1 inf + 0 396.637 * * [simplify]: Extracting #1: cost 88 inf + 0 396.638 * * [simplify]: Extracting #2: cost 238 inf + 0 396.640 * * [simplify]: Extracting #3: cost 310 inf + 2 396.643 * * [simplify]: Extracting #4: cost 299 inf + 3679 396.649 * * [simplify]: Extracting #5: cost 243 inf + 16225 396.681 * * [simplify]: Extracting #6: cost 81 inf + 123974 396.729 * * [simplify]: Extracting #7: cost 1 inf + 185486 396.779 * * [simplify]: Extracting #8: cost 0 inf + 184330 396.830 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 396.830 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 396.831 * * * * [progress]: [ 491 / 667 ] simplifiying candidate # 396.831 * [simplify]: Simplifying (/ (/ 1 1) (sqrt 1)) 396.831 * * [simplify]: iters left: 4 (4 enodes) 396.838 * * [simplify]: iters left: 3 (12 enodes) 396.841 * * [simplify]: iters left: 2 (14 enodes) 396.844 * * [simplify]: Extracting #0: cost 1 inf + 0 396.844 * * [simplify]: Extracting #1: cost 0 inf + 1 396.844 * [simplify]: Simplified to 1 396.844 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 396.845 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 396.845 * * [simplify]: iters left: 6 (14 enodes) 396.853 * * [simplify]: iters left: 5 (59 enodes) 396.872 * * [simplify]: iters left: 4 (96 enodes) 396.902 * * [simplify]: iters left: 3 (149 enodes) 396.951 * * [simplify]: iters left: 2 (265 enodes) 397.018 * * [simplify]: Extracting #0: cost 1 inf + 0 397.018 * * [simplify]: Extracting #1: cost 50 inf + 0 397.019 * * [simplify]: Extracting #2: cost 132 inf + 0 397.019 * * [simplify]: Extracting #3: cost 195 inf + 3 397.020 * * [simplify]: Extracting #4: cost 179 inf + 4407 397.023 * * [simplify]: Extracting #5: cost 137 inf + 11514 397.035 * * [simplify]: Extracting #6: cost 57 inf + 57747 397.060 * * [simplify]: Extracting #7: cost 0 inf + 100144 397.088 * * [simplify]: Extracting #8: cost 0 inf + 98303 397.113 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 397.113 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 397.113 * * * * [progress]: [ 492 / 667 ] simplifiying candidate # 397.114 * [simplify]: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) 397.114 * * [simplify]: iters left: 5 (7 enodes) 397.117 * * [simplify]: iters left: 4 (21 enodes) 397.123 * * [simplify]: iters left: 3 (23 enodes) 397.129 * * [simplify]: Extracting #0: cost 1 inf + 0 397.129 * * [simplify]: Extracting #1: cost 4 inf + 0 397.130 * * [simplify]: Extracting #2: cost 5 inf + 1 397.130 * * [simplify]: Extracting #3: cost 7 inf + 1 397.130 * * [simplify]: Extracting #4: cost 9 inf + 1 397.130 * * [simplify]: Extracting #5: cost 1 inf + 650 397.130 * * [simplify]: Extracting #6: cost 0 inf + 812 397.130 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 397.130 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 397.131 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 397.131 * * [simplify]: iters left: 6 (15 enodes) 397.139 * * [simplify]: iters left: 5 (62 enodes) 397.159 * * [simplify]: iters left: 4 (107 enodes) 397.193 * * [simplify]: iters left: 3 (177 enodes) 397.232 * * [simplify]: iters left: 2 (355 enodes) 397.351 * * [simplify]: Extracting #0: cost 1 inf + 0 397.351 * * [simplify]: Extracting #1: cost 88 inf + 0 397.352 * * [simplify]: Extracting #2: cost 238 inf + 0 397.353 * * [simplify]: Extracting #3: cost 310 inf + 2 397.355 * * [simplify]: Extracting #4: cost 299 inf + 3679 397.358 * * [simplify]: Extracting #5: cost 243 inf + 16225 397.384 * * [simplify]: Extracting #6: cost 81 inf + 123974 397.419 * * [simplify]: Extracting #7: cost 1 inf + 185486 397.469 * * [simplify]: Extracting #8: cost 0 inf + 184330 397.503 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 397.503 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 397.503 * * * * [progress]: [ 493 / 667 ] simplifiying candidate # 397.504 * [simplify]: Simplifying (/ (/ 1 1) 1) 397.504 * * [simplify]: iters left: 4 (3 enodes) 397.505 * * [simplify]: iters left: 3 (7 enodes) 397.506 * * [simplify]: iters left: 2 (9 enodes) 397.507 * * [simplify]: Extracting #0: cost 1 inf + 0 397.508 * * [simplify]: Extracting #1: cost 0 inf + 1 397.508 * [simplify]: Simplified to 1 397.508 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 397.508 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 397.508 * * [simplify]: iters left: 6 (14 enodes) 397.512 * * [simplify]: iters left: 5 (59 enodes) 397.528 * * [simplify]: iters left: 4 (96 enodes) 397.557 * * [simplify]: iters left: 3 (149 enodes) 397.606 * * [simplify]: iters left: 2 (265 enodes) 397.695 * * [simplify]: Extracting #0: cost 1 inf + 0 397.695 * * [simplify]: Extracting #1: cost 50 inf + 0 397.696 * * [simplify]: Extracting #2: cost 132 inf + 0 397.697 * * [simplify]: Extracting #3: cost 195 inf + 3 397.698 * * [simplify]: Extracting #4: cost 179 inf + 4407 397.703 * * [simplify]: Extracting #5: cost 137 inf + 11514 397.716 * * [simplify]: Extracting #6: cost 57 inf + 57747 397.740 * * [simplify]: Extracting #7: cost 0 inf + 100144 397.765 * * [simplify]: Extracting #8: cost 0 inf + 98303 397.794 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 397.794 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 397.794 * * * * [progress]: [ 494 / 667 ] simplifiying candidate # 397.794 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 397.794 * * [simplify]: iters left: 6 (17 enodes) 397.804 * * [simplify]: iters left: 5 (75 enodes) 397.829 * * [simplify]: iters left: 4 (134 enodes) 397.875 * * [simplify]: iters left: 3 (255 enodes) 397.953 * * [simplify]: Extracting #0: cost 1 inf + 0 397.953 * * [simplify]: Extracting #1: cost 45 inf + 0 397.954 * * [simplify]: Extracting #2: cost 126 inf + 0 397.955 * * [simplify]: Extracting #3: cost 174 inf + 2 397.956 * * [simplify]: Extracting #4: cost 169 inf + 721 397.957 * * [simplify]: Extracting #5: cost 130 inf + 6277 397.961 * * [simplify]: Extracting #6: cost 75 inf + 32684 397.974 * * [simplify]: Extracting #7: cost 11 inf + 75120 397.987 * * [simplify]: Extracting #8: cost 0 inf + 80947 398.001 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 398.001 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 398.001 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 398.001 * * [simplify]: iters left: 6 (16 enodes) 398.013 * * [simplify]: iters left: 5 (68 enodes) 398.027 * * [simplify]: iters left: 4 (112 enodes) 398.046 * * [simplify]: iters left: 3 (189 enodes) 398.090 * * [simplify]: iters left: 2 (368 enodes) 398.212 * * [simplify]: Extracting #0: cost 1 inf + 0 398.213 * * [simplify]: Extracting #1: cost 58 inf + 0 398.213 * * [simplify]: Extracting #2: cost 157 inf + 0 398.214 * * [simplify]: Extracting #3: cost 233 inf + 2 398.215 * * [simplify]: Extracting #4: cost 246 inf + 223 398.216 * * [simplify]: Extracting #5: cost 221 inf + 5014 398.221 * * [simplify]: Extracting #6: cost 152 inf + 26834 398.238 * * [simplify]: Extracting #7: cost 30 inf + 110358 398.257 * * [simplify]: Extracting #8: cost 0 inf + 135647 398.285 * [simplify]: Simplified to (* (/ (pow (* (* PI 2) n) (- 1/8 (/ k 8))) (cbrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/8 (/ k 8))) (cbrt (sqrt (sqrt k))))) 398.285 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow (* (* PI 2) n) (- 1/8 (/ k 8))) (cbrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/8 (/ k 8))) (cbrt (sqrt (sqrt k))))))) 398.285 * * * * [progress]: [ 495 / 667 ] simplifiying candidate # 398.286 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 398.286 * * [simplify]: iters left: 6 (20 enodes) 398.296 * * [simplify]: iters left: 5 (83 enodes) 398.327 * * [simplify]: iters left: 4 (140 enodes) 398.353 * * [simplify]: iters left: 3 (263 enodes) 398.419 * * [simplify]: Extracting #0: cost 1 inf + 0 398.419 * * [simplify]: Extracting #1: cost 57 inf + 0 398.420 * * [simplify]: Extracting #2: cost 142 inf + 0 398.421 * * [simplify]: Extracting #3: cost 195 inf + 0 398.423 * * [simplify]: Extracting #4: cost 201 inf + 219 398.425 * * [simplify]: Extracting #5: cost 168 inf + 3756 398.431 * * [simplify]: Extracting #6: cost 111 inf + 22238 398.449 * * [simplify]: Extracting #7: cost 36 inf + 72029 398.472 * * [simplify]: Extracting #8: cost 0 inf + 103536 398.486 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 398.486 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 398.487 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 398.487 * * [simplify]: iters left: 6 (18 enodes) 398.492 * * [simplify]: iters left: 5 (74 enodes) 398.518 * * [simplify]: iters left: 4 (122 enodes) 398.558 * * [simplify]: iters left: 3 (211 enodes) 398.607 * * [simplify]: iters left: 2 (432 enodes) 398.790 * * [simplify]: Extracting #0: cost 1 inf + 0 398.790 * * [simplify]: Extracting #1: cost 87 inf + 0 398.791 * * [simplify]: Extracting #2: cost 239 inf + 0 398.793 * * [simplify]: Extracting #3: cost 323 inf + 2 398.796 * * [simplify]: Extracting #4: cost 338 inf + 222 398.799 * * [simplify]: Extracting #5: cost 330 inf + 1408 398.807 * * [simplify]: Extracting #6: cost 255 inf + 24094 398.837 * * [simplify]: Extracting #7: cost 71 inf + 146363 398.874 * * [simplify]: Extracting #8: cost 0 inf + 207264 398.924 * * [simplify]: Extracting #9: cost 0 inf + 206469 398.956 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 398.957 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 398.957 * * * * [progress]: [ 496 / 667 ] simplifiying candidate # 398.957 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 398.957 * * [simplify]: iters left: 6 (21 enodes) 398.968 * * [simplify]: iters left: 5 (86 enodes) 398.996 * * [simplify]: iters left: 4 (143 enodes) 399.023 * * [simplify]: iters left: 3 (266 enodes) 399.119 * * [simplify]: Extracting #0: cost 1 inf + 0 399.119 * * [simplify]: Extracting #1: cost 56 inf + 0 399.119 * * [simplify]: Extracting #2: cost 140 inf + 0 399.120 * * [simplify]: Extracting #3: cost 195 inf + 0 399.121 * * [simplify]: Extracting #4: cost 202 inf + 261 399.122 * * [simplify]: Extracting #5: cost 169 inf + 4342 399.127 * * [simplify]: Extracting #6: cost 119 inf + 20454 399.151 * * [simplify]: Extracting #7: cost 25 inf + 86142 399.183 * * [simplify]: Extracting #8: cost 0 inf + 106432 399.213 * * [simplify]: Extracting #9: cost 0 inf + 106352 399.247 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt (sqrt k)))))) 399.247 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 399.247 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 399.247 * * [simplify]: iters left: 6 (19 enodes) 399.258 * * [simplify]: iters left: 5 (77 enodes) 399.279 * * [simplify]: iters left: 4 (125 enodes) 399.302 * * [simplify]: iters left: 3 (214 enodes) 399.374 * * [simplify]: iters left: 2 (437 enodes) 399.516 * * [simplify]: Extracting #0: cost 1 inf + 0 399.516 * * [simplify]: Extracting #1: cost 91 inf + 0 399.518 * * [simplify]: Extracting #2: cost 243 inf + 0 399.520 * * [simplify]: Extracting #3: cost 326 inf + 2 399.523 * * [simplify]: Extracting #4: cost 341 inf + 264 399.524 * * [simplify]: Extracting #5: cost 332 inf + 1292 399.527 * * [simplify]: Extracting #6: cost 270 inf + 11148 399.541 * * [simplify]: Extracting #7: cost 147 inf + 85040 399.567 * * [simplify]: Extracting #8: cost 10 inf + 205499 399.611 * * [simplify]: Extracting #9: cost 0 inf + 210432 399.657 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (cbrt (sqrt (sqrt k))))) 399.658 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (cbrt (sqrt (sqrt k))))))) 399.658 * * * * [progress]: [ 497 / 667 ] simplifiying candidate # 399.658 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 399.658 * * [simplify]: iters left: 6 (18 enodes) 399.664 * * [simplify]: iters left: 5 (76 enodes) 399.684 * * [simplify]: iters left: 4 (133 enodes) 399.715 * * [simplify]: iters left: 3 (259 enodes) 399.803 * * [simplify]: Extracting #0: cost 1 inf + 0 399.803 * * [simplify]: Extracting #1: cost 57 inf + 0 399.803 * * [simplify]: Extracting #2: cost 140 inf + 0 399.804 * * [simplify]: Extracting #3: cost 193 inf + 0 399.805 * * [simplify]: Extracting #4: cost 199 inf + 219 399.806 * * [simplify]: Extracting #5: cost 161 inf + 5451 399.810 * * [simplify]: Extracting #6: cost 91 inf + 34453 399.822 * * [simplify]: Extracting #7: cost 14 inf + 86875 399.850 * * [simplify]: Extracting #8: cost 0 inf + 98109 399.882 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 399.882 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 399.882 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 399.882 * * [simplify]: iters left: 6 (17 enodes) 399.888 * * [simplify]: iters left: 5 (71 enodes) 399.900 * * [simplify]: iters left: 4 (119 enodes) 399.920 * * [simplify]: iters left: 3 (205 enodes) 399.971 * * [simplify]: iters left: 2 (425 enodes) 400.091 * * [simplify]: Extracting #0: cost 1 inf + 0 400.091 * * [simplify]: Extracting #1: cost 88 inf + 0 400.093 * * [simplify]: Extracting #2: cost 238 inf + 0 400.095 * * [simplify]: Extracting #3: cost 319 inf + 2 400.097 * * [simplify]: Extracting #4: cost 333 inf + 264 400.101 * * [simplify]: Extracting #5: cost 300 inf + 9059 400.123 * * [simplify]: Extracting #6: cost 129 inf + 85220 400.181 * * [simplify]: Extracting #7: cost 2 inf + 186695 400.222 * * [simplify]: Extracting #8: cost 0 inf + 187949 400.249 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 400.250 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 400.250 * * * * [progress]: [ 498 / 667 ] simplifiying candidate # 400.250 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) 400.250 * * [simplify]: iters left: 6 (19 enodes) 400.256 * * [simplify]: iters left: 5 (79 enodes) 400.272 * * [simplify]: iters left: 4 (130 enodes) 400.296 * * [simplify]: iters left: 3 (233 enodes) 400.394 * * [simplify]: Extracting #0: cost 1 inf + 0 400.394 * * [simplify]: Extracting #1: cost 38 inf + 0 400.395 * * [simplify]: Extracting #2: cost 96 inf + 1 400.395 * * [simplify]: Extracting #3: cost 138 inf + 2 400.396 * * [simplify]: Extracting #4: cost 148 inf + 178 400.397 * * [simplify]: Extracting #5: cost 138 inf + 806 400.398 * * [simplify]: Extracting #6: cost 88 inf + 8886 400.403 * * [simplify]: Extracting #7: cost 36 inf + 37102 400.412 * * [simplify]: Extracting #8: cost 0 inf + 61989 400.423 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 400.423 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 400.423 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 400.424 * * [simplify]: iters left: 6 (16 enodes) 400.431 * * [simplify]: iters left: 5 (68 enodes) 400.443 * * [simplify]: iters left: 4 (116 enodes) 400.468 * * [simplify]: iters left: 3 (205 enodes) 400.538 * * [simplify]: iters left: 2 (426 enodes) 400.678 * * [simplify]: Extracting #0: cost 1 inf + 0 400.678 * * [simplify]: Extracting #1: cost 86 inf + 0 400.680 * * [simplify]: Extracting #2: cost 236 inf + 0 400.682 * * [simplify]: Extracting #3: cost 317 inf + 2 400.684 * * [simplify]: Extracting #4: cost 316 inf + 1700 400.691 * * [simplify]: Extracting #5: cost 240 inf + 22266 400.723 * * [simplify]: Extracting #6: cost 60 inf + 145960 400.759 * * [simplify]: Extracting #7: cost 0 inf + 199971 400.798 * * [simplify]: Extracting #8: cost 0 inf + 197250 400.836 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 400.836 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 400.836 * * * * [progress]: [ 499 / 667 ] simplifiying candidate # 400.837 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 400.837 * * [simplify]: iters left: 6 (18 enodes) 400.847 * * [simplify]: iters left: 5 (76 enodes) 400.860 * * [simplify]: iters left: 4 (133 enodes) 400.891 * * [simplify]: iters left: 3 (259 enodes) 401.002 * * [simplify]: Extracting #0: cost 1 inf + 0 401.003 * * [simplify]: Extracting #1: cost 57 inf + 0 401.004 * * [simplify]: Extracting #2: cost 140 inf + 0 401.005 * * [simplify]: Extracting #3: cost 193 inf + 0 401.006 * * [simplify]: Extracting #4: cost 199 inf + 219 401.009 * * [simplify]: Extracting #5: cost 161 inf + 5451 401.018 * * [simplify]: Extracting #6: cost 91 inf + 34453 401.042 * * [simplify]: Extracting #7: cost 14 inf + 86875 401.056 * * [simplify]: Extracting #8: cost 0 inf + 98109 401.070 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 401.070 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 401.070 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 401.070 * * [simplify]: iters left: 6 (17 enodes) 401.079 * * [simplify]: iters left: 5 (71 enodes) 401.102 * * [simplify]: iters left: 4 (119 enodes) 401.141 * * [simplify]: iters left: 3 (205 enodes) 401.192 * * [simplify]: iters left: 2 (425 enodes) 401.326 * * [simplify]: Extracting #0: cost 1 inf + 0 401.327 * * [simplify]: Extracting #1: cost 88 inf + 0 401.328 * * [simplify]: Extracting #2: cost 238 inf + 0 401.330 * * [simplify]: Extracting #3: cost 319 inf + 2 401.332 * * [simplify]: Extracting #4: cost 333 inf + 264 401.334 * * [simplify]: Extracting #5: cost 300 inf + 9059 401.345 * * [simplify]: Extracting #6: cost 129 inf + 85220 401.381 * * [simplify]: Extracting #7: cost 2 inf + 186695 401.421 * * [simplify]: Extracting #8: cost 0 inf + 187949 401.454 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 401.455 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 401.455 * * * * [progress]: [ 500 / 667 ] simplifiying candidate # 401.455 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 401.455 * * [simplify]: iters left: 6 (18 enodes) 401.466 * * [simplify]: iters left: 5 (76 enodes) 401.491 * * [simplify]: iters left: 4 (127 enodes) 401.533 * * [simplify]: iters left: 3 (228 enodes) 401.608 * * [simplify]: Extracting #0: cost 1 inf + 0 401.609 * * [simplify]: Extracting #1: cost 38 inf + 0 401.609 * * [simplify]: Extracting #2: cost 94 inf + 1 401.609 * * [simplify]: Extracting #3: cost 135 inf + 2 401.610 * * [simplify]: Extracting #4: cost 146 inf + 136 401.611 * * [simplify]: Extracting #5: cost 136 inf + 764 401.612 * * [simplify]: Extracting #6: cost 94 inf + 6573 401.615 * * [simplify]: Extracting #7: cost 54 inf + 23254 401.623 * * [simplify]: Extracting #8: cost 6 inf + 56757 401.632 * * [simplify]: Extracting #9: cost 0 inf + 61045 401.641 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 401.642 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 401.642 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 401.642 * * [simplify]: iters left: 6 (16 enodes) 401.647 * * [simplify]: iters left: 5 (68 enodes) 401.673 * * [simplify]: iters left: 4 (116 enodes) 401.711 * * [simplify]: iters left: 3 (205 enodes) 401.786 * * [simplify]: iters left: 2 (426 enodes) 401.934 * * [simplify]: Extracting #0: cost 1 inf + 0 401.934 * * [simplify]: Extracting #1: cost 86 inf + 0 401.935 * * [simplify]: Extracting #2: cost 236 inf + 0 401.936 * * [simplify]: Extracting #3: cost 317 inf + 2 401.937 * * [simplify]: Extracting #4: cost 316 inf + 1700 401.941 * * [simplify]: Extracting #5: cost 240 inf + 22266 401.965 * * [simplify]: Extracting #6: cost 60 inf + 145960 402.023 * * [simplify]: Extracting #7: cost 0 inf + 199971 402.078 * * [simplify]: Extracting #8: cost 0 inf + 197250 402.115 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 402.115 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 402.116 * * * * [progress]: [ 501 / 667 ] simplifiying candidate # 402.116 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 402.116 * * [simplify]: iters left: 6 (18 enodes) 402.121 * * [simplify]: iters left: 5 (76 enodes) 402.139 * * [simplify]: iters left: 4 (133 enodes) 402.163 * * [simplify]: iters left: 3 (259 enodes) 402.229 * * [simplify]: Extracting #0: cost 1 inf + 0 402.229 * * [simplify]: Extracting #1: cost 57 inf + 0 402.230 * * [simplify]: Extracting #2: cost 140 inf + 0 402.231 * * [simplify]: Extracting #3: cost 193 inf + 0 402.233 * * [simplify]: Extracting #4: cost 199 inf + 219 402.235 * * [simplify]: Extracting #5: cost 161 inf + 5451 402.244 * * [simplify]: Extracting #6: cost 91 inf + 34453 402.268 * * [simplify]: Extracting #7: cost 14 inf + 86875 402.297 * * [simplify]: Extracting #8: cost 0 inf + 98109 402.320 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 402.320 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 402.320 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 402.320 * * [simplify]: iters left: 6 (17 enodes) 402.325 * * [simplify]: iters left: 5 (71 enodes) 402.341 * * [simplify]: iters left: 4 (119 enodes) 402.369 * * [simplify]: iters left: 3 (205 enodes) 402.432 * * [simplify]: iters left: 2 (425 enodes) 402.571 * * [simplify]: Extracting #0: cost 1 inf + 0 402.572 * * [simplify]: Extracting #1: cost 88 inf + 0 402.573 * * [simplify]: Extracting #2: cost 238 inf + 0 402.575 * * [simplify]: Extracting #3: cost 319 inf + 2 402.578 * * [simplify]: Extracting #4: cost 333 inf + 264 402.582 * * [simplify]: Extracting #5: cost 300 inf + 9059 402.595 * * [simplify]: Extracting #6: cost 129 inf + 85220 402.625 * * [simplify]: Extracting #7: cost 2 inf + 186695 402.653 * * [simplify]: Extracting #8: cost 0 inf + 187949 402.698 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 402.699 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 402.699 * * * * [progress]: [ 502 / 667 ] simplifiying candidate # 402.699 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 402.699 * * [simplify]: iters left: 6 (17 enodes) 402.709 * * [simplify]: iters left: 5 (71 enodes) 402.733 * * [simplify]: iters left: 4 (124 enodes) 402.761 * * [simplify]: iters left: 3 (242 enodes) 402.840 * * [simplify]: Extracting #0: cost 1 inf + 0 402.840 * * [simplify]: Extracting #1: cost 40 inf + 0 402.841 * * [simplify]: Extracting #2: cost 106 inf + 1 402.842 * * [simplify]: Extracting #3: cost 147 inf + 2 402.843 * * [simplify]: Extracting #4: cost 155 inf + 219 402.844 * * [simplify]: Extracting #5: cost 148 inf + 639 402.848 * * [simplify]: Extracting #6: cost 93 inf + 10579 402.858 * * [simplify]: Extracting #7: cost 37 inf + 39478 402.879 * * [simplify]: Extracting #8: cost 1 inf + 63008 402.900 * * [simplify]: Extracting #9: cost 0 inf + 63874 402.922 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 402.922 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 402.922 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 402.923 * * [simplify]: iters left: 6 (16 enodes) 402.932 * * [simplify]: iters left: 5 (68 enodes) 402.954 * * [simplify]: iters left: 4 (116 enodes) 402.996 * * [simplify]: iters left: 3 (205 enodes) 403.045 * * [simplify]: iters left: 2 (426 enodes) 403.190 * * [simplify]: Extracting #0: cost 1 inf + 0 403.191 * * [simplify]: Extracting #1: cost 86 inf + 0 403.191 * * [simplify]: Extracting #2: cost 236 inf + 0 403.192 * * [simplify]: Extracting #3: cost 317 inf + 2 403.194 * * [simplify]: Extracting #4: cost 316 inf + 1700 403.198 * * [simplify]: Extracting #5: cost 240 inf + 22266 403.214 * * [simplify]: Extracting #6: cost 60 inf + 145960 403.255 * * [simplify]: Extracting #7: cost 0 inf + 199971 403.293 * * [simplify]: Extracting #8: cost 0 inf + 197250 403.347 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 403.348 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 403.348 * * * * [progress]: [ 503 / 667 ] simplifiying candidate # 403.348 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 403.348 * * [simplify]: iters left: 6 (20 enodes) 403.359 * * [simplify]: iters left: 5 (83 enodes) 403.385 * * [simplify]: iters left: 4 (136 enodes) 403.419 * * [simplify]: iters left: 3 (246 enodes) 403.485 * * [simplify]: Extracting #0: cost 1 inf + 0 403.485 * * [simplify]: Extracting #1: cost 54 inf + 0 403.486 * * [simplify]: Extracting #2: cost 129 inf + 0 403.487 * * [simplify]: Extracting #3: cost 178 inf + 0 403.488 * * [simplify]: Extracting #4: cost 187 inf + 136 403.490 * * [simplify]: Extracting #5: cost 153 inf + 4669 403.496 * * [simplify]: Extracting #6: cost 104 inf + 18019 403.515 * * [simplify]: Extracting #7: cost 23 inf + 74568 403.538 * * [simplify]: Extracting #8: cost 0 inf + 91552 403.551 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) 403.551 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 403.552 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 403.552 * * [simplify]: iters left: 6 (18 enodes) 403.557 * * [simplify]: iters left: 5 (74 enodes) 403.577 * * [simplify]: iters left: 4 (122 enodes) 403.599 * * [simplify]: iters left: 3 (211 enodes) 403.661 * * [simplify]: iters left: 2 (432 enodes) 403.861 * * [simplify]: Extracting #0: cost 1 inf + 0 403.861 * * [simplify]: Extracting #1: cost 87 inf + 0 403.868 * * [simplify]: Extracting #2: cost 239 inf + 0 403.870 * * [simplify]: Extracting #3: cost 323 inf + 2 403.873 * * [simplify]: Extracting #4: cost 338 inf + 222 403.876 * * [simplify]: Extracting #5: cost 330 inf + 1448 403.884 * * [simplify]: Extracting #6: cost 255 inf + 24094 403.917 * * [simplify]: Extracting #7: cost 71 inf + 146363 403.960 * * [simplify]: Extracting #8: cost 0 inf + 207264 404.000 * * [simplify]: Extracting #9: cost 0 inf + 206469 404.056 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 404.056 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 404.056 * * * * [progress]: [ 504 / 667 ] simplifiying candidate # 404.057 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 404.057 * * [simplify]: iters left: 6 (17 enodes) 404.063 * * [simplify]: iters left: 5 (72 enodes) 404.076 * * [simplify]: iters left: 4 (112 enodes) 404.102 * * [simplify]: iters left: 3 (180 enodes) 404.168 * * [simplify]: iters left: 2 (349 enodes) 404.293 * * [simplify]: Extracting #0: cost 1 inf + 0 404.293 * * [simplify]: Extracting #1: cost 64 inf + 0 404.293 * * [simplify]: Extracting #2: cost 154 inf + 0 404.294 * * [simplify]: Extracting #3: cost 228 inf + 2 404.295 * * [simplify]: Extracting #4: cost 215 inf + 2647 404.301 * * [simplify]: Extracting #5: cost 130 inf + 35436 404.328 * * [simplify]: Extracting #6: cost 15 inf + 109047 404.345 * * [simplify]: Extracting #7: cost 0 inf + 122176 404.365 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 404.365 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 404.366 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 404.366 * * [simplify]: iters left: 6 (16 enodes) 404.374 * * [simplify]: iters left: 5 (68 enodes) 404.394 * * [simplify]: iters left: 4 (108 enodes) 404.413 * * [simplify]: iters left: 3 (180 enodes) 404.458 * * [simplify]: iters left: 2 (343 enodes) 404.534 * * [simplify]: Extracting #0: cost 1 inf + 0 404.534 * * [simplify]: Extracting #1: cost 50 inf + 0 404.534 * * [simplify]: Extracting #2: cost 133 inf + 0 404.535 * * [simplify]: Extracting #3: cost 209 inf + 2 404.536 * * [simplify]: Extracting #4: cost 193 inf + 6517 404.545 * * [simplify]: Extracting #5: cost 64 inf + 74723 404.567 * * [simplify]: Extracting #6: cost 1 inf + 111574 404.600 * * [simplify]: Extracting #7: cost 0 inf + 106814 404.626 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt k))) 404.626 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt k))))) 404.626 * * * * [progress]: [ 505 / 667 ] simplifiying candidate # 404.626 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 404.626 * * [simplify]: iters left: 6 (21 enodes) 404.632 * * [simplify]: iters left: 5 (85 enodes) 404.649 * * [simplify]: iters left: 4 (133 enodes) 404.675 * * [simplify]: iters left: 3 (219 enodes) 404.739 * * [simplify]: iters left: 2 (436 enodes) 404.924 * * [simplify]: Extracting #0: cost 1 inf + 0 404.924 * * [simplify]: Extracting #1: cost 88 inf + 0 404.926 * * [simplify]: Extracting #2: cost 241 inf + 0 404.928 * * [simplify]: Extracting #3: cost 329 inf + 2 404.930 * * [simplify]: Extracting #4: cost 346 inf + 222 404.934 * * [simplify]: Extracting #5: cost 320 inf + 3860 404.942 * * [simplify]: Extracting #6: cost 185 inf + 62343 404.978 * * [simplify]: Extracting #7: cost 20 inf + 185959 405.023 * * [simplify]: Extracting #8: cost 0 inf + 196936 405.080 * * [simplify]: Extracting #9: cost 0 inf + 196485 405.141 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (fabs (cbrt (sqrt k))) (sqrt (fabs (cbrt k))))) 405.141 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (fabs (cbrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 405.142 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 405.142 * * [simplify]: iters left: 6 (19 enodes) 405.153 * * [simplify]: iters left: 5 (77 enodes) 405.175 * * [simplify]: iters left: 4 (125 enodes) 405.213 * * [simplify]: iters left: 3 (214 enodes) 405.279 * * [simplify]: iters left: 2 (437 enodes) 405.427 * * [simplify]: Extracting #0: cost 1 inf + 0 405.428 * * [simplify]: Extracting #1: cost 91 inf + 0 405.429 * * [simplify]: Extracting #2: cost 243 inf + 0 405.431 * * [simplify]: Extracting #3: cost 326 inf + 2 405.434 * * [simplify]: Extracting #4: cost 341 inf + 264 405.438 * * [simplify]: Extracting #5: cost 332 inf + 1372 405.444 * * [simplify]: Extracting #6: cost 270 inf + 11228 405.462 * * [simplify]: Extracting #7: cost 147 inf + 85120 405.490 * * [simplify]: Extracting #8: cost 10 inf + 205579 405.533 * * [simplify]: Extracting #9: cost 0 inf + 210512 405.563 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (cbrt (sqrt k))))) 405.564 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (cbrt (sqrt k))))))) 405.564 * * * * [progress]: [ 506 / 667 ] simplifiying candidate # 405.564 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 405.565 * * [simplify]: iters left: 6 (19 enodes) 405.574 * * [simplify]: iters left: 5 (78 enodes) 405.599 * * [simplify]: iters left: 4 (126 enodes) 405.621 * * [simplify]: iters left: 3 (215 enodes) 405.695 * * [simplify]: iters left: 2 (439 enodes) 405.841 * * [simplify]: Extracting #0: cost 1 inf + 0 405.842 * * [simplify]: Extracting #1: cost 89 inf + 0 405.843 * * [simplify]: Extracting #2: cost 242 inf + 0 405.845 * * [simplify]: Extracting #3: cost 325 inf + 2 405.848 * * [simplify]: Extracting #4: cost 338 inf + 264 405.852 * * [simplify]: Extracting #5: cost 314 inf + 2961 405.857 * * [simplify]: Extracting #6: cost 222 inf + 32119 405.879 * * [simplify]: Extracting #7: cost 77 inf + 133095 405.920 * * [simplify]: Extracting #8: cost 2 inf + 198965 405.955 * * [simplify]: Extracting #9: cost 0 inf + 199755 406.005 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 406.006 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 406.006 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 406.006 * * [simplify]: iters left: 6 (18 enodes) 406.017 * * [simplify]: iters left: 5 (74 enodes) 406.040 * * [simplify]: iters left: 4 (122 enodes) 406.080 * * [simplify]: iters left: 3 (211 enodes) 406.141 * * [simplify]: iters left: 2 (432 enodes) 406.318 * * [simplify]: Extracting #0: cost 1 inf + 0 406.318 * * [simplify]: Extracting #1: cost 87 inf + 0 406.319 * * [simplify]: Extracting #2: cost 239 inf + 0 406.320 * * [simplify]: Extracting #3: cost 323 inf + 2 406.321 * * [simplify]: Extracting #4: cost 338 inf + 222 406.323 * * [simplify]: Extracting #5: cost 330 inf + 1368 406.326 * * [simplify]: Extracting #6: cost 255 inf + 23494 406.352 * * [simplify]: Extracting #7: cost 71 inf + 142963 406.383 * * [simplify]: Extracting #8: cost 0 inf + 202224 406.413 * * [simplify]: Extracting #9: cost 0 inf + 201429 406.470 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 406.470 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 406.470 * * * * [progress]: [ 507 / 667 ] simplifiying candidate # 406.471 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) 406.471 * * [simplify]: iters left: 6 (19 enodes) 406.481 * * [simplify]: iters left: 5 (78 enodes) 406.506 * * [simplify]: iters left: 4 (121 enodes) 406.545 * * [simplify]: iters left: 3 (205 enodes) 406.620 * * [simplify]: iters left: 2 (416 enodes) 406.835 * * [simplify]: Extracting #0: cost 1 inf + 0 406.835 * * [simplify]: Extracting #1: cost 69 inf + 0 406.836 * * [simplify]: Extracting #2: cost 166 inf + 1 406.838 * * [simplify]: Extracting #3: cost 226 inf + 3 406.840 * * [simplify]: Extracting #4: cost 241 inf + 264 406.843 * * [simplify]: Extracting #5: cost 225 inf + 2359 406.853 * * [simplify]: Extracting #6: cost 120 inf + 38164 406.884 * * [simplify]: Extracting #7: cost 13 inf + 112857 406.924 * * [simplify]: Extracting #8: cost 0 inf + 124380 406.968 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (fabs (cbrt (sqrt k)))) 406.968 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 406.968 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 406.968 * * [simplify]: iters left: 6 (17 enodes) 406.978 * * [simplify]: iters left: 5 (71 enodes) 407.001 * * [simplify]: iters left: 4 (119 enodes) 407.024 * * [simplify]: iters left: 3 (205 enodes) 407.067 * * [simplify]: iters left: 2 (425 enodes) 407.231 * * [simplify]: Extracting #0: cost 1 inf + 0 407.231 * * [simplify]: Extracting #1: cost 88 inf + 0 407.232 * * [simplify]: Extracting #2: cost 239 inf + 0 407.233 * * [simplify]: Extracting #3: cost 321 inf + 2 407.235 * * [simplify]: Extracting #4: cost 302 inf + 8832 407.246 * * [simplify]: Extracting #5: cost 171 inf + 67184 407.280 * * [simplify]: Extracting #6: cost 76 inf + 125749 407.310 * * [simplify]: Extracting #7: cost 2 inf + 190938 407.348 * * [simplify]: Extracting #8: cost 0 inf + 192834 407.385 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 407.385 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 407.385 * * * * [progress]: [ 508 / 667 ] simplifiying candidate # 407.386 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 407.386 * * [simplify]: iters left: 6 (19 enodes) 407.397 * * [simplify]: iters left: 5 (78 enodes) 407.410 * * [simplify]: iters left: 4 (126 enodes) 407.440 * * [simplify]: iters left: 3 (215 enodes) 407.497 * * [simplify]: iters left: 2 (439 enodes) 407.665 * * [simplify]: Extracting #0: cost 1 inf + 0 407.666 * * [simplify]: Extracting #1: cost 89 inf + 0 407.667 * * [simplify]: Extracting #2: cost 242 inf + 0 407.669 * * [simplify]: Extracting #3: cost 325 inf + 2 407.672 * * [simplify]: Extracting #4: cost 338 inf + 264 407.675 * * [simplify]: Extracting #5: cost 314 inf + 2961 407.689 * * [simplify]: Extracting #6: cost 222 inf + 32119 407.708 * * [simplify]: Extracting #7: cost 77 inf + 133095 407.759 * * [simplify]: Extracting #8: cost 2 inf + 198965 407.809 * * [simplify]: Extracting #9: cost 0 inf + 199755 407.856 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 407.856 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 407.856 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 407.856 * * [simplify]: iters left: 6 (18 enodes) 407.862 * * [simplify]: iters left: 5 (74 enodes) 407.875 * * [simplify]: iters left: 4 (122 enodes) 407.900 * * [simplify]: iters left: 3 (211 enodes) 407.946 * * [simplify]: iters left: 2 (432 enodes) 408.063 * * [simplify]: Extracting #0: cost 1 inf + 0 408.063 * * [simplify]: Extracting #1: cost 87 inf + 0 408.064 * * [simplify]: Extracting #2: cost 239 inf + 0 408.066 * * [simplify]: Extracting #3: cost 323 inf + 2 408.069 * * [simplify]: Extracting #4: cost 338 inf + 222 408.077 * * [simplify]: Extracting #5: cost 330 inf + 1368 408.084 * * [simplify]: Extracting #6: cost 255 inf + 23494 408.117 * * [simplify]: Extracting #7: cost 71 inf + 142963 408.156 * * [simplify]: Extracting #8: cost 0 inf + 202224 408.193 * * [simplify]: Extracting #9: cost 0 inf + 201429 408.229 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 408.229 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 408.229 * * * * [progress]: [ 509 / 667 ] simplifiying candidate # 408.229 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 408.230 * * [simplify]: iters left: 6 (18 enodes) 408.235 * * [simplify]: iters left: 5 (75 enodes) 408.248 * * [simplify]: iters left: 4 (118 enodes) 408.271 * * [simplify]: iters left: 3 (200 enodes) 408.352 * * [simplify]: iters left: 2 (414 enodes) 408.553 * * [simplify]: Extracting #0: cost 1 inf + 0 408.553 * * [simplify]: Extracting #1: cost 70 inf + 0 408.554 * * [simplify]: Extracting #2: cost 178 inf + 1 408.556 * * [simplify]: Extracting #3: cost 237 inf + 3 408.558 * * [simplify]: Extracting #4: cost 252 inf + 264 408.561 * * [simplify]: Extracting #5: cost 234 inf + 2198 408.569 * * [simplify]: Extracting #6: cost 154 inf + 23974 408.596 * * [simplify]: Extracting #7: cost 39 inf + 102570 408.642 * * [simplify]: Extracting #8: cost 0 inf + 134499 408.686 * * [simplify]: Extracting #9: cost 0 inf + 133451 408.729 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (fabs (cbrt (sqrt k)))) 408.729 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 408.730 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 408.730 * * [simplify]: iters left: 6 (17 enodes) 408.736 * * [simplify]: iters left: 5 (71 enodes) 408.749 * * [simplify]: iters left: 4 (119 enodes) 408.790 * * [simplify]: iters left: 3 (205 enodes) 408.846 * * [simplify]: iters left: 2 (425 enodes) 408.956 * * [simplify]: Extracting #0: cost 1 inf + 0 408.956 * * [simplify]: Extracting #1: cost 88 inf + 0 408.957 * * [simplify]: Extracting #2: cost 239 inf + 0 408.958 * * [simplify]: Extracting #3: cost 321 inf + 2 408.960 * * [simplify]: Extracting #4: cost 302 inf + 8832 408.970 * * [simplify]: Extracting #5: cost 171 inf + 67184 408.989 * * [simplify]: Extracting #6: cost 76 inf + 125749 409.016 * * [simplify]: Extracting #7: cost 2 inf + 190938 409.070 * * [simplify]: Extracting #8: cost 0 inf + 192834 409.125 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 409.125 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 409.125 * * * * [progress]: [ 510 / 667 ] simplifiying candidate # 409.126 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 409.126 * * [simplify]: iters left: 6 (19 enodes) 409.136 * * [simplify]: iters left: 5 (78 enodes) 409.161 * * [simplify]: iters left: 4 (126 enodes) 409.196 * * [simplify]: iters left: 3 (215 enodes) 409.246 * * [simplify]: iters left: 2 (439 enodes) 409.382 * * [simplify]: Extracting #0: cost 1 inf + 0 409.382 * * [simplify]: Extracting #1: cost 89 inf + 0 409.382 * * [simplify]: Extracting #2: cost 242 inf + 0 409.383 * * [simplify]: Extracting #3: cost 325 inf + 2 409.385 * * [simplify]: Extracting #4: cost 338 inf + 264 409.387 * * [simplify]: Extracting #5: cost 314 inf + 2961 409.395 * * [simplify]: Extracting #6: cost 222 inf + 32119 409.413 * * [simplify]: Extracting #7: cost 77 inf + 133095 409.465 * * [simplify]: Extracting #8: cost 2 inf + 198965 409.504 * * [simplify]: Extracting #9: cost 0 inf + 199755 409.547 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 409.547 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 409.547 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 409.547 * * [simplify]: iters left: 6 (18 enodes) 409.553 * * [simplify]: iters left: 5 (74 enodes) 409.573 * * [simplify]: iters left: 4 (122 enodes) 409.597 * * [simplify]: iters left: 3 (211 enodes) 409.647 * * [simplify]: iters left: 2 (432 enodes) 409.808 * * [simplify]: Extracting #0: cost 1 inf + 0 409.808 * * [simplify]: Extracting #1: cost 87 inf + 0 409.809 * * [simplify]: Extracting #2: cost 239 inf + 0 409.810 * * [simplify]: Extracting #3: cost 323 inf + 2 409.811 * * [simplify]: Extracting #4: cost 338 inf + 222 409.813 * * [simplify]: Extracting #5: cost 330 inf + 1368 409.817 * * [simplify]: Extracting #6: cost 255 inf + 23494 409.833 * * [simplify]: Extracting #7: cost 71 inf + 142963 409.880 * * [simplify]: Extracting #8: cost 0 inf + 202224 409.923 * * [simplify]: Extracting #9: cost 0 inf + 201429 409.978 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 409.978 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 409.979 * * * * [progress]: [ 511 / 667 ] simplifiying candidate # 409.979 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 409.979 * * [simplify]: iters left: 6 (17 enodes) 409.989 * * [simplify]: iters left: 5 (70 enodes) 410.004 * * [simplify]: iters left: 4 (114 enodes) 410.028 * * [simplify]: iters left: 3 (197 enodes) 410.080 * * [simplify]: iters left: 2 (414 enodes) 410.309 * * [simplify]: Extracting #0: cost 1 inf + 0 410.309 * * [simplify]: Extracting #1: cost 64 inf + 0 410.310 * * [simplify]: Extracting #2: cost 169 inf + 1 410.312 * * [simplify]: Extracting #3: cost 233 inf + 3 410.314 * * [simplify]: Extracting #4: cost 247 inf + 222 410.317 * * [simplify]: Extracting #5: cost 227 inf + 2335 410.323 * * [simplify]: Extracting #6: cost 154 inf + 18010 410.338 * * [simplify]: Extracting #7: cost 38 inf + 102421 410.361 * * [simplify]: Extracting #8: cost 0 inf + 135410 410.407 * * [simplify]: Extracting #9: cost 0 inf + 134746 410.437 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) 410.437 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 410.437 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 410.437 * * [simplify]: iters left: 6 (17 enodes) 410.443 * * [simplify]: iters left: 5 (71 enodes) 410.455 * * [simplify]: iters left: 4 (119 enodes) 410.476 * * [simplify]: iters left: 3 (205 enodes) 410.546 * * [simplify]: iters left: 2 (425 enodes) 410.747 * * [simplify]: Extracting #0: cost 1 inf + 0 410.747 * * [simplify]: Extracting #1: cost 88 inf + 0 410.748 * * [simplify]: Extracting #2: cost 239 inf + 0 410.750 * * [simplify]: Extracting #3: cost 321 inf + 2 410.755 * * [simplify]: Extracting #4: cost 302 inf + 8832 410.775 * * [simplify]: Extracting #5: cost 171 inf + 67184 410.805 * * [simplify]: Extracting #6: cost 76 inf + 125749 410.843 * * [simplify]: Extracting #7: cost 2 inf + 190938 410.891 * * [simplify]: Extracting #8: cost 0 inf + 192834 410.925 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 410.925 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 410.926 * * * * [progress]: [ 512 / 667 ] simplifiying candidate # 410.926 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 410.926 * * [simplify]: iters left: 6 (21 enodes) 410.938 * * [simplify]: iters left: 5 (86 enodes) 410.965 * * [simplify]: iters left: 4 (139 enodes) 411.010 * * [simplify]: iters left: 3 (249 enodes) 411.089 * * [simplify]: Extracting #0: cost 1 inf + 0 411.089 * * [simplify]: Extracting #1: cost 54 inf + 0 411.090 * * [simplify]: Extracting #2: cost 128 inf + 0 411.091 * * [simplify]: Extracting #3: cost 177 inf + 0 411.092 * * [simplify]: Extracting #4: cost 186 inf + 220 411.094 * * [simplify]: Extracting #5: cost 159 inf + 3442 411.099 * * [simplify]: Extracting #6: cost 115 inf + 11311 411.113 * * [simplify]: Extracting #7: cost 51 inf + 53594 411.138 * * [simplify]: Extracting #8: cost 0 inf + 93637 411.165 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (* (sqrt (fabs (cbrt k))) (cbrt (sqrt (sqrt k)))))) 411.165 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (* (sqrt (fabs (cbrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))))) 411.165 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) 411.165 * * [simplify]: iters left: 6 (19 enodes) 411.179 * * [simplify]: iters left: 5 (77 enodes) 411.201 * * [simplify]: iters left: 4 (125 enodes) 411.223 * * [simplify]: iters left: 3 (214 enodes) 411.278 * * [simplify]: iters left: 2 (437 enodes) 411.480 * * [simplify]: Extracting #0: cost 1 inf + 0 411.480 * * [simplify]: Extracting #1: cost 91 inf + 0 411.481 * * [simplify]: Extracting #2: cost 243 inf + 0 411.483 * * [simplify]: Extracting #3: cost 326 inf + 2 411.484 * * [simplify]: Extracting #4: cost 341 inf + 264 411.486 * * [simplify]: Extracting #5: cost 332 inf + 1412 411.489 * * [simplify]: Extracting #6: cost 270 inf + 11148 411.498 * * [simplify]: Extracting #7: cost 147 inf + 85040 411.536 * * [simplify]: Extracting #8: cost 10 inf + 205499 411.580 * * [simplify]: Extracting #9: cost 0 inf + 210432 411.621 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 411.621 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 411.621 * * * * [progress]: [ 513 / 667 ] simplifiying candidate # 411.621 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 411.621 * * [simplify]: iters left: 6 (21 enodes) 411.627 * * [simplify]: iters left: 5 (85 enodes) 411.643 * * [simplify]: iters left: 4 (133 enodes) 411.682 * * [simplify]: iters left: 3 (219 enodes) 411.760 * * [simplify]: iters left: 2 (436 enodes) 411.967 * * [simplify]: Extracting #0: cost 1 inf + 0 411.967 * * [simplify]: Extracting #1: cost 88 inf + 0 411.969 * * [simplify]: Extracting #2: cost 241 inf + 0 411.971 * * [simplify]: Extracting #3: cost 329 inf + 2 411.974 * * [simplify]: Extracting #4: cost 346 inf + 222 411.978 * * [simplify]: Extracting #5: cost 319 inf + 3981 411.993 * * [simplify]: Extracting #6: cost 186 inf + 62182 412.052 * * [simplify]: Extracting #7: cost 20 inf + 185959 412.115 * * [simplify]: Extracting #8: cost 0 inf + 196936 412.160 * * [simplify]: Extracting #9: cost 0 inf + 196485 412.193 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (fabs (cbrt k))) (fabs (cbrt (sqrt k))))) 412.194 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (fabs (cbrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))))) 412.194 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) 412.194 * * [simplify]: iters left: 6 (19 enodes) 412.200 * * [simplify]: iters left: 5 (77 enodes) 412.213 * * [simplify]: iters left: 4 (125 enodes) 412.252 * * [simplify]: iters left: 3 (214 enodes) 412.334 * * [simplify]: iters left: 2 (437 enodes) 412.513 * * [simplify]: Extracting #0: cost 1 inf + 0 412.514 * * [simplify]: Extracting #1: cost 91 inf + 0 412.515 * * [simplify]: Extracting #2: cost 243 inf + 0 412.517 * * [simplify]: Extracting #3: cost 326 inf + 2 412.520 * * [simplify]: Extracting #4: cost 341 inf + 264 412.524 * * [simplify]: Extracting #5: cost 332 inf + 1412 412.529 * * [simplify]: Extracting #6: cost 270 inf + 11228 412.552 * * [simplify]: Extracting #7: cost 147 inf + 85120 412.601 * * [simplify]: Extracting #8: cost 10 inf + 205579 412.657 * * [simplify]: Extracting #9: cost 0 inf + 210512 412.716 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 412.716 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 412.716 * * * * [progress]: [ 514 / 667 ] simplifiying candidate # 412.716 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 412.717 * * [simplify]: iters left: 6 (17 enodes) 412.727 * * [simplify]: iters left: 5 (72 enodes) 412.751 * * [simplify]: iters left: 4 (112 enodes) 412.786 * * [simplify]: iters left: 3 (181 enodes) 412.850 * * [simplify]: iters left: 2 (336 enodes) 412.961 * * [simplify]: Extracting #0: cost 1 inf + 0 412.962 * * [simplify]: Extracting #1: cost 50 inf + 0 412.962 * * [simplify]: Extracting #2: cost 133 inf + 0 412.963 * * [simplify]: Extracting #3: cost 210 inf + 2 412.966 * * [simplify]: Extracting #4: cost 193 inf + 3686 412.980 * * [simplify]: Extracting #5: cost 75 inf + 62219 413.007 * * [simplify]: Extracting #6: cost 1 inf + 109909 413.035 * * [simplify]: Extracting #7: cost 0 inf + 109438 413.063 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (fabs (cbrt k))) 413.063 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (fabs (cbrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))))) 413.064 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) 413.064 * * [simplify]: iters left: 6 (16 enodes) 413.073 * * [simplify]: iters left: 5 (68 enodes) 413.087 * * [simplify]: iters left: 4 (108 enodes) 413.115 * * [simplify]: iters left: 3 (180 enodes) 413.155 * * [simplify]: iters left: 2 (343 enodes) 413.263 * * [simplify]: Extracting #0: cost 1 inf + 0 413.264 * * [simplify]: Extracting #1: cost 50 inf + 0 413.264 * * [simplify]: Extracting #2: cost 133 inf + 0 413.265 * * [simplify]: Extracting #3: cost 209 inf + 2 413.266 * * [simplify]: Extracting #4: cost 193 inf + 6557 413.280 * * [simplify]: Extracting #5: cost 64 inf + 74803 413.315 * * [simplify]: Extracting #6: cost 1 inf + 111654 413.340 * * [simplify]: Extracting #7: cost 0 inf + 106894 413.356 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (cbrt k))) 413.357 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (cbrt k))))) 413.357 * * * * [progress]: [ 515 / 667 ] simplifiying candidate # 413.357 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 413.357 * * [simplify]: iters left: 6 (20 enodes) 413.366 * * [simplify]: iters left: 5 (81 enodes) 413.392 * * [simplify]: iters left: 4 (129 enodes) 413.434 * * [simplify]: iters left: 3 (216 enodes) 413.495 * * [simplify]: iters left: 2 (432 enodes) 413.636 * * [simplify]: Extracting #0: cost 1 inf + 0 413.636 * * [simplify]: Extracting #1: cost 86 inf + 0 413.638 * * [simplify]: Extracting #2: cost 235 inf + 0 413.640 * * [simplify]: Extracting #3: cost 318 inf + 2 413.642 * * [simplify]: Extracting #4: cost 334 inf + 306 413.645 * * [simplify]: Extracting #5: cost 319 inf + 2031 413.653 * * [simplify]: Extracting #6: cost 236 inf + 26362 413.687 * * [simplify]: Extracting #7: cost 70 inf + 145980 413.742 * * [simplify]: Extracting #8: cost 1 inf + 201785 413.800 * * [simplify]: Extracting #9: cost 0 inf + 201434 413.856 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 413.857 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 413.857 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 413.857 * * [simplify]: iters left: 6 (19 enodes) 413.868 * * [simplify]: iters left: 5 (77 enodes) 413.892 * * [simplify]: iters left: 4 (125 enodes) 413.917 * * [simplify]: iters left: 3 (214 enodes) 413.969 * * [simplify]: iters left: 2 (437 enodes) 414.120 * * [simplify]: Extracting #0: cost 1 inf + 0 414.120 * * [simplify]: Extracting #1: cost 91 inf + 0 414.121 * * [simplify]: Extracting #2: cost 243 inf + 0 414.122 * * [simplify]: Extracting #3: cost 326 inf + 2 414.125 * * [simplify]: Extracting #4: cost 341 inf + 264 414.128 * * [simplify]: Extracting #5: cost 332 inf + 1412 414.134 * * [simplify]: Extracting #6: cost 270 inf + 11148 414.147 * * [simplify]: Extracting #7: cost 147 inf + 83920 414.174 * * [simplify]: Extracting #8: cost 10 inf + 200739 414.234 * * [simplify]: Extracting #9: cost 0 inf + 205272 414.292 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 414.292 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 414.293 * * * * [progress]: [ 516 / 667 ] simplifiying candidate # 414.293 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) 414.293 * * [simplify]: iters left: 6 (19 enodes) 414.305 * * [simplify]: iters left: 5 (78 enodes) 414.329 * * [simplify]: iters left: 4 (121 enodes) 414.369 * * [simplify]: iters left: 3 (205 enodes) 414.422 * * [simplify]: iters left: 2 (416 enodes) 414.619 * * [simplify]: Extracting #0: cost 1 inf + 0 414.619 * * [simplify]: Extracting #1: cost 69 inf + 0 414.620 * * [simplify]: Extracting #2: cost 165 inf + 1 414.622 * * [simplify]: Extracting #3: cost 225 inf + 3 414.624 * * [simplify]: Extracting #4: cost 241 inf + 264 414.627 * * [simplify]: Extracting #5: cost 225 inf + 2359 414.635 * * [simplify]: Extracting #6: cost 121 inf + 38040 414.651 * * [simplify]: Extracting #7: cost 13 inf + 112857 414.684 * * [simplify]: Extracting #8: cost 0 inf + 124380 414.723 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (fabs (cbrt k)))) 414.723 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 414.724 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 414.724 * * [simplify]: iters left: 6 (18 enodes) 414.733 * * [simplify]: iters left: 5 (74 enodes) 414.757 * * [simplify]: iters left: 4 (122 enodes) 414.789 * * [simplify]: iters left: 3 (211 enodes) 414.840 * * [simplify]: iters left: 2 (432 enodes) 415.000 * * [simplify]: Extracting #0: cost 1 inf + 0 415.000 * * [simplify]: Extracting #1: cost 87 inf + 0 415.001 * * [simplify]: Extracting #2: cost 239 inf + 0 415.004 * * [simplify]: Extracting #3: cost 324 inf + 2 415.006 * * [simplify]: Extracting #4: cost 328 inf + 994 415.013 * * [simplify]: Extracting #5: cost 266 inf + 22392 415.038 * * [simplify]: Extracting #6: cost 71 inf + 141043 415.073 * * [simplify]: Extracting #7: cost 0 inf + 199544 415.132 * * [simplify]: Extracting #8: cost 0 inf + 198749 415.175 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 415.175 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 415.175 * * * * [progress]: [ 517 / 667 ] simplifiying candidate # 415.175 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 415.176 * * [simplify]: iters left: 6 (20 enodes) 415.181 * * [simplify]: iters left: 5 (81 enodes) 415.199 * * [simplify]: iters left: 4 (129 enodes) 415.240 * * [simplify]: iters left: 3 (216 enodes) 415.297 * * [simplify]: iters left: 2 (432 enodes) 415.450 * * [simplify]: Extracting #0: cost 1 inf + 0 415.450 * * [simplify]: Extracting #1: cost 86 inf + 0 415.452 * * [simplify]: Extracting #2: cost 235 inf + 0 415.454 * * [simplify]: Extracting #3: cost 318 inf + 2 415.456 * * [simplify]: Extracting #4: cost 334 inf + 306 415.459 * * [simplify]: Extracting #5: cost 319 inf + 2031 415.467 * * [simplify]: Extracting #6: cost 236 inf + 26362 415.501 * * [simplify]: Extracting #7: cost 70 inf + 145980 415.545 * * [simplify]: Extracting #8: cost 1 inf + 201785 415.580 * * [simplify]: Extracting #9: cost 0 inf + 201434 415.610 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 415.610 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 415.610 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 415.611 * * [simplify]: iters left: 6 (19 enodes) 415.620 * * [simplify]: iters left: 5 (77 enodes) 415.645 * * [simplify]: iters left: 4 (125 enodes) 415.674 * * [simplify]: iters left: 3 (214 enodes) 415.718 * * [simplify]: iters left: 2 (437 enodes) 415.865 * * [simplify]: Extracting #0: cost 1 inf + 0 415.865 * * [simplify]: Extracting #1: cost 91 inf + 0 415.867 * * [simplify]: Extracting #2: cost 243 inf + 0 415.869 * * [simplify]: Extracting #3: cost 326 inf + 2 415.871 * * [simplify]: Extracting #4: cost 341 inf + 264 415.873 * * [simplify]: Extracting #5: cost 332 inf + 1412 415.875 * * [simplify]: Extracting #6: cost 270 inf + 11148 415.885 * * [simplify]: Extracting #7: cost 147 inf + 83920 415.917 * * [simplify]: Extracting #8: cost 10 inf + 200739 415.979 * * [simplify]: Extracting #9: cost 0 inf + 205272 416.030 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 416.030 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 416.030 * * * * [progress]: [ 518 / 667 ] simplifiying candidate # 416.030 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) 416.030 * * [simplify]: iters left: 6 (18 enodes) 416.037 * * [simplify]: iters left: 5 (75 enodes) 416.061 * * [simplify]: iters left: 4 (118 enodes) 416.098 * * [simplify]: iters left: 3 (200 enodes) 416.153 * * [simplify]: iters left: 2 (414 enodes) 416.346 * * [simplify]: Extracting #0: cost 1 inf + 0 416.347 * * [simplify]: Extracting #1: cost 70 inf + 0 416.348 * * [simplify]: Extracting #2: cost 177 inf + 1 416.350 * * [simplify]: Extracting #3: cost 236 inf + 3 416.352 * * [simplify]: Extracting #4: cost 252 inf + 264 416.355 * * [simplify]: Extracting #5: cost 233 inf + 2321 416.363 * * [simplify]: Extracting #6: cost 154 inf + 23974 416.394 * * [simplify]: Extracting #7: cost 39 inf + 102570 416.420 * * [simplify]: Extracting #8: cost 0 inf + 134499 416.454 * * [simplify]: Extracting #9: cost 0 inf + 133451 416.500 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (fabs (cbrt k)))) 416.500 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 416.501 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 416.501 * * [simplify]: iters left: 6 (18 enodes) 416.511 * * [simplify]: iters left: 5 (74 enodes) 416.536 * * [simplify]: iters left: 4 (122 enodes) 416.579 * * [simplify]: iters left: 3 (211 enodes) 416.652 * * [simplify]: iters left: 2 (432 enodes) 416.792 * * [simplify]: Extracting #0: cost 1 inf + 0 416.792 * * [simplify]: Extracting #1: cost 87 inf + 0 416.793 * * [simplify]: Extracting #2: cost 239 inf + 0 416.794 * * [simplify]: Extracting #3: cost 324 inf + 2 416.795 * * [simplify]: Extracting #4: cost 328 inf + 994 416.799 * * [simplify]: Extracting #5: cost 266 inf + 22392 416.824 * * [simplify]: Extracting #6: cost 71 inf + 141043 416.862 * * [simplify]: Extracting #7: cost 0 inf + 199544 416.917 * * [simplify]: Extracting #8: cost 0 inf + 198749 416.971 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 416.971 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 416.972 * * * * [progress]: [ 519 / 667 ] simplifiying candidate # 416.972 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 416.972 * * [simplify]: iters left: 6 (20 enodes) 416.982 * * [simplify]: iters left: 5 (81 enodes) 417.008 * * [simplify]: iters left: 4 (129 enodes) 417.052 * * [simplify]: iters left: 3 (216 enodes) 417.124 * * [simplify]: iters left: 2 (432 enodes) 417.283 * * [simplify]: Extracting #0: cost 1 inf + 0 417.284 * * [simplify]: Extracting #1: cost 86 inf + 0 417.285 * * [simplify]: Extracting #2: cost 235 inf + 0 417.287 * * [simplify]: Extracting #3: cost 318 inf + 2 417.290 * * [simplify]: Extracting #4: cost 334 inf + 306 417.293 * * [simplify]: Extracting #5: cost 319 inf + 2031 417.301 * * [simplify]: Extracting #6: cost 236 inf + 26362 417.336 * * [simplify]: Extracting #7: cost 70 inf + 145980 417.395 * * [simplify]: Extracting #8: cost 1 inf + 201785 417.453 * * [simplify]: Extracting #9: cost 0 inf + 201434 417.510 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 417.511 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 417.511 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 417.511 * * [simplify]: iters left: 6 (19 enodes) 417.522 * * [simplify]: iters left: 5 (77 enodes) 417.549 * * [simplify]: iters left: 4 (125 enodes) 417.571 * * [simplify]: iters left: 3 (214 enodes) 417.639 * * [simplify]: iters left: 2 (437 enodes) 417.778 * * [simplify]: Extracting #0: cost 1 inf + 0 417.778 * * [simplify]: Extracting #1: cost 91 inf + 0 417.780 * * [simplify]: Extracting #2: cost 243 inf + 0 417.782 * * [simplify]: Extracting #3: cost 326 inf + 2 417.784 * * [simplify]: Extracting #4: cost 341 inf + 264 417.785 * * [simplify]: Extracting #5: cost 332 inf + 1412 417.788 * * [simplify]: Extracting #6: cost 270 inf + 11148 417.798 * * [simplify]: Extracting #7: cost 147 inf + 83920 417.826 * * [simplify]: Extracting #8: cost 10 inf + 200739 417.866 * * [simplify]: Extracting #9: cost 0 inf + 205272 417.905 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 417.905 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 417.906 * * * * [progress]: [ 520 / 667 ] simplifiying candidate # 417.906 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) 417.906 * * [simplify]: iters left: 6 (17 enodes) 417.912 * * [simplify]: iters left: 5 (70 enodes) 417.928 * * [simplify]: iters left: 4 (114 enodes) 417.968 * * [simplify]: iters left: 3 (197 enodes) 418.021 * * [simplify]: iters left: 2 (414 enodes) 418.211 * * [simplify]: Extracting #0: cost 1 inf + 0 418.211 * * [simplify]: Extracting #1: cost 64 inf + 0 418.211 * * [simplify]: Extracting #2: cost 168 inf + 1 418.212 * * [simplify]: Extracting #3: cost 232 inf + 3 418.213 * * [simplify]: Extracting #4: cost 247 inf + 222 418.215 * * [simplify]: Extracting #5: cost 224 inf + 2818 418.222 * * [simplify]: Extracting #6: cost 149 inf + 20423 418.252 * * [simplify]: Extracting #7: cost 30 inf + 107101 418.297 * * [simplify]: Extracting #8: cost 0 inf + 132885 418.342 * * [simplify]: Extracting #9: cost 0 inf + 132492 418.390 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (fabs (cbrt k)))) 418.390 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 418.391 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 418.391 * * [simplify]: iters left: 6 (18 enodes) 418.401 * * [simplify]: iters left: 5 (74 enodes) 418.425 * * [simplify]: iters left: 4 (122 enodes) 418.466 * * [simplify]: iters left: 3 (211 enodes) 418.532 * * [simplify]: iters left: 2 (432 enodes) 418.717 * * [simplify]: Extracting #0: cost 1 inf + 0 418.717 * * [simplify]: Extracting #1: cost 87 inf + 0 418.719 * * [simplify]: Extracting #2: cost 239 inf + 0 418.721 * * [simplify]: Extracting #3: cost 324 inf + 2 418.724 * * [simplify]: Extracting #4: cost 328 inf + 994 418.731 * * [simplify]: Extracting #5: cost 266 inf + 22392 418.763 * * [simplify]: Extracting #6: cost 71 inf + 141043 418.791 * * [simplify]: Extracting #7: cost 0 inf + 199544 418.831 * * [simplify]: Extracting #8: cost 0 inf + 198749 418.860 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 418.860 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 418.861 * * * * [progress]: [ 521 / 667 ] simplifiying candidate # 418.861 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 418.861 * * [simplify]: iters left: 6 (18 enodes) 418.869 * * [simplify]: iters left: 5 (76 enodes) 418.890 * * [simplify]: iters left: 4 (129 enodes) 418.934 * * [simplify]: iters left: 3 (239 enodes) 419.004 * * [simplify]: Extracting #0: cost 1 inf + 0 419.004 * * [simplify]: Extracting #1: cost 54 inf + 0 419.005 * * [simplify]: Extracting #2: cost 126 inf + 0 419.006 * * [simplify]: Extracting #3: cost 173 inf + 0 419.007 * * [simplify]: Extracting #4: cost 181 inf + 178 419.009 * * [simplify]: Extracting #5: cost 148 inf + 3634 419.019 * * [simplify]: Extracting #6: cost 72 inf + 34343 419.030 * * [simplify]: Extracting #7: cost 17 inf + 72324 419.043 * * [simplify]: Extracting #8: cost 0 inf + 85488 419.060 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 419.060 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 419.060 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 419.060 * * [simplify]: iters left: 6 (17 enodes) 419.073 * * [simplify]: iters left: 5 (71 enodes) 419.095 * * [simplify]: iters left: 4 (119 enodes) 419.133 * * [simplify]: iters left: 3 (205 enodes) 419.181 * * [simplify]: iters left: 2 (425 enodes) 419.766 * * [simplify]: Extracting #0: cost 1 inf + 0 419.766 * * [simplify]: Extracting #1: cost 88 inf + 0 419.767 * * [simplify]: Extracting #2: cost 238 inf + 0 419.769 * * [simplify]: Extracting #3: cost 319 inf + 2 419.771 * * [simplify]: Extracting #4: cost 333 inf + 264 419.776 * * [simplify]: Extracting #5: cost 300 inf + 8979 419.792 * * [simplify]: Extracting #6: cost 129 inf + 85300 419.830 * * [simplify]: Extracting #7: cost 2 inf + 186735 419.857 * * [simplify]: Extracting #8: cost 0 inf + 187949 419.895 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 419.896 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 419.896 * * * * [progress]: [ 522 / 667 ] simplifiying candidate # 419.896 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 419.896 * * [simplify]: iters left: 6 (19 enodes) 419.902 * * [simplify]: iters left: 5 (78 enodes) 419.921 * * [simplify]: iters left: 4 (126 enodes) 419.964 * * [simplify]: iters left: 3 (215 enodes) 420.019 * * [simplify]: iters left: 2 (439 enodes) 420.181 * * [simplify]: Extracting #0: cost 1 inf + 0 420.181 * * [simplify]: Extracting #1: cost 89 inf + 0 420.182 * * [simplify]: Extracting #2: cost 242 inf + 0 420.183 * * [simplify]: Extracting #3: cost 325 inf + 2 420.184 * * [simplify]: Extracting #4: cost 338 inf + 264 420.186 * * [simplify]: Extracting #5: cost 314 inf + 2827 420.193 * * [simplify]: Extracting #6: cost 241 inf + 18199 420.224 * * [simplify]: Extracting #7: cost 85 inf + 126790 420.267 * * [simplify]: Extracting #8: cost 0 inf + 202496 420.296 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 420.296 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 420.296 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 420.296 * * [simplify]: iters left: 6 (18 enodes) 420.302 * * [simplify]: iters left: 5 (74 enodes) 420.318 * * [simplify]: iters left: 4 (122 enodes) 420.353 * * [simplify]: iters left: 3 (211 enodes) 420.397 * * [simplify]: iters left: 2 (432 enodes) 420.554 * * [simplify]: Extracting #0: cost 1 inf + 0 420.554 * * [simplify]: Extracting #1: cost 87 inf + 0 420.555 * * [simplify]: Extracting #2: cost 239 inf + 0 420.556 * * [simplify]: Extracting #3: cost 323 inf + 2 420.557 * * [simplify]: Extracting #4: cost 338 inf + 222 420.558 * * [simplify]: Extracting #5: cost 330 inf + 1368 420.562 * * [simplify]: Extracting #6: cost 255 inf + 23574 420.591 * * [simplify]: Extracting #7: cost 71 inf + 143283 420.647 * * [simplify]: Extracting #8: cost 0 inf + 202184 420.679 * * [simplify]: Extracting #9: cost 0 inf + 201389 420.707 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 420.707 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 420.707 * * * * [progress]: [ 523 / 667 ] simplifiying candidate # 420.708 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 420.708 * * [simplify]: iters left: 6 (20 enodes) 420.714 * * [simplify]: iters left: 5 (81 enodes) 420.727 * * [simplify]: iters left: 4 (129 enodes) 420.756 * * [simplify]: iters left: 3 (216 enodes) 420.834 * * [simplify]: iters left: 2 (432 enodes) 420.998 * * [simplify]: Extracting #0: cost 1 inf + 0 420.999 * * [simplify]: Extracting #1: cost 86 inf + 0 421.000 * * [simplify]: Extracting #2: cost 235 inf + 0 421.002 * * [simplify]: Extracting #3: cost 318 inf + 2 421.005 * * [simplify]: Extracting #4: cost 334 inf + 306 421.008 * * [simplify]: Extracting #5: cost 319 inf + 2349 421.019 * * [simplify]: Extracting #6: cost 218 inf + 38933 421.057 * * [simplify]: Extracting #7: cost 46 inf + 164011 421.100 * * [simplify]: Extracting #8: cost 0 inf + 199382 421.142 * * [simplify]: Extracting #9: cost 0 inf + 198033 421.181 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 421.181 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 421.182 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 421.182 * * [simplify]: iters left: 6 (19 enodes) 421.187 * * [simplify]: iters left: 5 (77 enodes) 421.208 * * [simplify]: iters left: 4 (125 enodes) 421.241 * * [simplify]: iters left: 3 (214 enodes) 421.297 * * [simplify]: iters left: 2 (437 enodes) 421.432 * * [simplify]: Extracting #0: cost 1 inf + 0 421.432 * * [simplify]: Extracting #1: cost 91 inf + 0 421.434 * * [simplify]: Extracting #2: cost 243 inf + 0 421.436 * * [simplify]: Extracting #3: cost 326 inf + 2 421.439 * * [simplify]: Extracting #4: cost 341 inf + 264 421.442 * * [simplify]: Extracting #5: cost 332 inf + 1252 421.447 * * [simplify]: Extracting #6: cost 270 inf + 10988 421.466 * * [simplify]: Extracting #7: cost 147 inf + 83080 421.501 * * [simplify]: Extracting #8: cost 10 inf + 200419 421.546 * * [simplify]: Extracting #9: cost 0 inf + 205232 421.604 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))) 421.604 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))))) 421.605 * * * * [progress]: [ 524 / 667 ] simplifiying candidate # 421.605 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 421.605 * * [simplify]: iters left: 6 (16 enodes) 421.614 * * [simplify]: iters left: 5 (68 enodes) 421.632 * * [simplify]: iters left: 4 (108 enodes) 421.653 * * [simplify]: iters left: 3 (180 enodes) 421.704 * * [simplify]: iters left: 2 (343 enodes) 421.792 * * [simplify]: Extracting #0: cost 1 inf + 0 421.793 * * [simplify]: Extracting #1: cost 50 inf + 0 421.793 * * [simplify]: Extracting #2: cost 133 inf + 0 421.794 * * [simplify]: Extracting #3: cost 209 inf + 2 421.795 * * [simplify]: Extracting #4: cost 193 inf + 6437 421.813 * * [simplify]: Extracting #5: cost 64 inf + 72483 421.838 * * [simplify]: Extracting #6: cost 1 inf + 107774 421.860 * * [simplify]: Extracting #7: cost 0 inf + 103014 421.883 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 421.883 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 421.883 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 421.883 * * [simplify]: iters left: 6 (16 enodes) 421.892 * * [simplify]: iters left: 5 (68 enodes) 421.904 * * [simplify]: iters left: 4 (108 enodes) 421.930 * * [simplify]: iters left: 3 (180 enodes) 421.974 * * [simplify]: iters left: 2 (343 enodes) 422.094 * * [simplify]: Extracting #0: cost 1 inf + 0 422.094 * * [simplify]: Extracting #1: cost 50 inf + 0 422.094 * * [simplify]: Extracting #2: cost 133 inf + 0 422.095 * * [simplify]: Extracting #3: cost 209 inf + 2 422.096 * * [simplify]: Extracting #4: cost 193 inf + 6437 422.106 * * [simplify]: Extracting #5: cost 64 inf + 72483 422.125 * * [simplify]: Extracting #6: cost 1 inf + 107774 422.159 * * [simplify]: Extracting #7: cost 0 inf + 103014 422.191 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 422.191 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 422.191 * * * * [progress]: [ 525 / 667 ] simplifiying candidate # 422.191 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 422.191 * * [simplify]: iters left: 6 (18 enodes) 422.197 * * [simplify]: iters left: 5 (74 enodes) 422.212 * * [simplify]: iters left: 4 (117 enodes) 422.235 * * [simplify]: iters left: 3 (201 enodes) 422.291 * * [simplify]: iters left: 2 (415 enodes) 422.490 * * [simplify]: Extracting #0: cost 1 inf + 0 422.490 * * [simplify]: Extracting #1: cost 68 inf + 0 422.491 * * [simplify]: Extracting #2: cost 163 inf + 1 422.493 * * [simplify]: Extracting #3: cost 222 inf + 3 422.495 * * [simplify]: Extracting #4: cost 239 inf + 139 422.498 * * [simplify]: Extracting #5: cost 224 inf + 1794 422.506 * * [simplify]: Extracting #6: cost 127 inf + 29607 422.529 * * [simplify]: Extracting #7: cost 19 inf + 106143 422.550 * * [simplify]: Extracting #8: cost 0 inf + 120677 422.591 * * [simplify]: Extracting #9: cost 0 inf + 120545 422.636 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) 422.636 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 422.636 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 422.637 * * [simplify]: iters left: 6 (16 enodes) 422.646 * * [simplify]: iters left: 5 (68 enodes) 422.668 * * [simplify]: iters left: 4 (116 enodes) 422.707 * * [simplify]: iters left: 3 (205 enodes) 422.785 * * [simplify]: iters left: 2 (426 enodes) 422.934 * * [simplify]: Extracting #0: cost 1 inf + 0 422.934 * * [simplify]: Extracting #1: cost 86 inf + 0 422.935 * * [simplify]: Extracting #2: cost 236 inf + 0 422.937 * * [simplify]: Extracting #3: cost 317 inf + 2 422.940 * * [simplify]: Extracting #4: cost 316 inf + 1620 422.947 * * [simplify]: Extracting #5: cost 240 inf + 21946 422.976 * * [simplify]: Extracting #6: cost 60 inf + 142560 423.007 * * [simplify]: Extracting #7: cost 0 inf + 195011 423.062 * * [simplify]: Extracting #8: cost 0 inf + 192290 423.119 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 423.119 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 423.119 * * * * [progress]: [ 526 / 667 ] simplifiying candidate # 423.120 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 423.120 * * [simplify]: iters left: 6 (16 enodes) 423.129 * * [simplify]: iters left: 5 (68 enodes) 423.151 * * [simplify]: iters left: 4 (108 enodes) 423.187 * * [simplify]: iters left: 3 (180 enodes) 423.250 * * [simplify]: iters left: 2 (343 enodes) 423.346 * * [simplify]: Extracting #0: cost 1 inf + 0 423.347 * * [simplify]: Extracting #1: cost 50 inf + 0 423.347 * * [simplify]: Extracting #2: cost 133 inf + 0 423.349 * * [simplify]: Extracting #3: cost 209 inf + 2 423.351 * * [simplify]: Extracting #4: cost 193 inf + 6437 423.369 * * [simplify]: Extracting #5: cost 64 inf + 72483 423.388 * * [simplify]: Extracting #6: cost 1 inf + 107774 423.419 * * [simplify]: Extracting #7: cost 0 inf + 103014 423.453 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 423.453 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 423.453 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 423.454 * * [simplify]: iters left: 6 (16 enodes) 423.462 * * [simplify]: iters left: 5 (68 enodes) 423.488 * * [simplify]: iters left: 4 (108 enodes) 423.522 * * [simplify]: iters left: 3 (180 enodes) 423.571 * * [simplify]: iters left: 2 (343 enodes) 423.684 * * [simplify]: Extracting #0: cost 1 inf + 0 423.685 * * [simplify]: Extracting #1: cost 50 inf + 0 423.685 * * [simplify]: Extracting #2: cost 133 inf + 0 423.686 * * [simplify]: Extracting #3: cost 209 inf + 2 423.689 * * [simplify]: Extracting #4: cost 193 inf + 6437 423.707 * * [simplify]: Extracting #5: cost 64 inf + 72483 423.727 * * [simplify]: Extracting #6: cost 1 inf + 107774 423.756 * * [simplify]: Extracting #7: cost 0 inf + 103014 423.777 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 423.777 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 423.778 * * * * [progress]: [ 527 / 667 ] simplifiying candidate # 423.778 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 423.778 * * [simplify]: iters left: 6 (17 enodes) 423.783 * * [simplify]: iters left: 5 (71 enodes) 423.796 * * [simplify]: iters left: 4 (114 enodes) 423.833 * * [simplify]: iters left: 3 (193 enodes) 423.888 * * [simplify]: iters left: 2 (393 enodes) 424.101 * * [simplify]: Extracting #0: cost 1 inf + 0 424.101 * * [simplify]: Extracting #1: cost 68 inf + 0 424.103 * * [simplify]: Extracting #2: cost 168 inf + 1 424.104 * * [simplify]: Extracting #3: cost 223 inf + 3 424.107 * * [simplify]: Extracting #4: cost 238 inf + 181 424.109 * * [simplify]: Extracting #5: cost 229 inf + 1222 424.115 * * [simplify]: Extracting #6: cost 155 inf + 14856 424.131 * * [simplify]: Extracting #7: cost 43 inf + 90105 424.161 * * [simplify]: Extracting #8: cost 0 inf + 124372 424.205 * * [simplify]: Extracting #9: cost 0 inf + 124160 424.247 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) 424.247 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 424.248 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 424.248 * * [simplify]: iters left: 6 (16 enodes) 424.253 * * [simplify]: iters left: 5 (68 enodes) 424.265 * * [simplify]: iters left: 4 (116 enodes) 424.295 * * [simplify]: iters left: 3 (205 enodes) 424.357 * * [simplify]: iters left: 2 (426 enodes) 424.503 * * [simplify]: Extracting #0: cost 1 inf + 0 424.503 * * [simplify]: Extracting #1: cost 86 inf + 0 424.504 * * [simplify]: Extracting #2: cost 236 inf + 0 424.505 * * [simplify]: Extracting #3: cost 317 inf + 2 424.506 * * [simplify]: Extracting #4: cost 316 inf + 1620 424.513 * * [simplify]: Extracting #5: cost 240 inf + 21946 424.530 * * [simplify]: Extracting #6: cost 60 inf + 142560 424.569 * * [simplify]: Extracting #7: cost 0 inf + 195011 424.599 * * [simplify]: Extracting #8: cost 0 inf + 192290 424.631 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 424.631 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 424.632 * * * * [progress]: [ 528 / 667 ] simplifiying candidate # 424.632 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 424.632 * * [simplify]: iters left: 6 (16 enodes) 424.641 * * [simplify]: iters left: 5 (68 enodes) 424.664 * * [simplify]: iters left: 4 (108 enodes) 424.700 * * [simplify]: iters left: 3 (180 enodes) 424.769 * * [simplify]: iters left: 2 (343 enodes) 424.878 * * [simplify]: Extracting #0: cost 1 inf + 0 424.878 * * [simplify]: Extracting #1: cost 50 inf + 0 424.879 * * [simplify]: Extracting #2: cost 133 inf + 0 424.880 * * [simplify]: Extracting #3: cost 209 inf + 2 424.883 * * [simplify]: Extracting #4: cost 193 inf + 6437 424.901 * * [simplify]: Extracting #5: cost 64 inf + 72483 424.936 * * [simplify]: Extracting #6: cost 1 inf + 107774 424.970 * * [simplify]: Extracting #7: cost 0 inf + 103014 425.003 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 425.003 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 425.003 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 425.003 * * [simplify]: iters left: 6 (16 enodes) 425.008 * * [simplify]: iters left: 5 (68 enodes) 425.020 * * [simplify]: iters left: 4 (108 enodes) 425.038 * * [simplify]: iters left: 3 (180 enodes) 425.087 * * [simplify]: iters left: 2 (343 enodes) 425.177 * * [simplify]: Extracting #0: cost 1 inf + 0 425.178 * * [simplify]: Extracting #1: cost 50 inf + 0 425.178 * * [simplify]: Extracting #2: cost 133 inf + 0 425.179 * * [simplify]: Extracting #3: cost 209 inf + 2 425.180 * * [simplify]: Extracting #4: cost 193 inf + 6437 425.189 * * [simplify]: Extracting #5: cost 64 inf + 72483 425.208 * * [simplify]: Extracting #6: cost 1 inf + 107774 425.225 * * [simplify]: Extracting #7: cost 0 inf + 103014 425.247 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 425.247 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 425.247 * * * * [progress]: [ 529 / 667 ] simplifiying candidate # 425.247 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 1) 425.247 * * [simplify]: iters left: 6 (16 enodes) 425.252 * * [simplify]: iters left: 5 (66 enodes) 425.267 * * [simplify]: iters left: 4 (110 enodes) 425.296 * * [simplify]: iters left: 3 (196 enodes) 425.346 * * [simplify]: iters left: 2 (429 enodes) 425.518 * * [simplify]: Extracting #0: cost 1 inf + 0 425.518 * * [simplify]: Extracting #1: cost 64 inf + 0 425.519 * * [simplify]: Extracting #2: cost 160 inf + 1 425.519 * * [simplify]: Extracting #3: cost 219 inf + 3 425.520 * * [simplify]: Extracting #4: cost 232 inf + 181 425.522 * * [simplify]: Extracting #5: cost 199 inf + 6670 425.530 * * [simplify]: Extracting #6: cost 83 inf + 54767 425.554 * * [simplify]: Extracting #7: cost 7 inf + 108485 425.589 * * [simplify]: Extracting #8: cost 0 inf + 112722 425.619 * * [simplify]: Extracting #9: cost 0 inf + 112403 425.656 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) 425.656 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 425.656 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 425.657 * * [simplify]: iters left: 6 (16 enodes) 425.661 * * [simplify]: iters left: 5 (68 enodes) 425.673 * * [simplify]: iters left: 4 (116 enodes) 425.711 * * [simplify]: iters left: 3 (205 enodes) 425.752 * * [simplify]: iters left: 2 (426 enodes) 425.892 * * [simplify]: Extracting #0: cost 1 inf + 0 425.892 * * [simplify]: Extracting #1: cost 86 inf + 0 425.893 * * [simplify]: Extracting #2: cost 236 inf + 0 425.894 * * [simplify]: Extracting #3: cost 317 inf + 2 425.895 * * [simplify]: Extracting #4: cost 316 inf + 1620 425.899 * * [simplify]: Extracting #5: cost 240 inf + 21946 425.915 * * [simplify]: Extracting #6: cost 60 inf + 142560 425.966 * * [simplify]: Extracting #7: cost 0 inf + 195011 425.996 * * [simplify]: Extracting #8: cost 0 inf + 192290 426.038 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 426.038 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 426.038 * * * * [progress]: [ 530 / 667 ] simplifiying candidate # 426.038 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 426.038 * * [simplify]: iters left: 6 (19 enodes) 426.048 * * [simplify]: iters left: 5 (79 enodes) 426.073 * * [simplify]: iters left: 4 (122 enodes) 426.108 * * [simplify]: iters left: 3 (209 enodes) 426.162 * * [simplify]: iters left: 2 (452 enodes) 426.369 * * [simplify]: Extracting #0: cost 1 inf + 0 426.370 * * [simplify]: Extracting #1: cost 87 inf + 0 426.371 * * [simplify]: Extracting #2: cost 232 inf + 1 426.379 * * [simplify]: Extracting #3: cost 290 inf + 3 426.382 * * [simplify]: Extracting #4: cost 305 inf + 222 426.385 * * [simplify]: Extracting #5: cost 289 inf + 1955 426.392 * * [simplify]: Extracting #6: cost 210 inf + 20272 426.421 * * [simplify]: Extracting #7: cost 77 inf + 114040 426.448 * * [simplify]: Extracting #8: cost 0 inf + 179719 426.490 * * [simplify]: Extracting #9: cost 0 inf + 177070 426.523 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 426.523 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 426.524 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 426.524 * * [simplify]: iters left: 6 (16 enodes) 426.532 * * [simplify]: iters left: 5 (68 enodes) 426.554 * * [simplify]: iters left: 4 (116 enodes) 426.594 * * [simplify]: iters left: 3 (205 enodes) 426.673 * * [simplify]: iters left: 2 (426 enodes) 426.866 * * [simplify]: Extracting #0: cost 1 inf + 0 426.867 * * [simplify]: Extracting #1: cost 88 inf + 0 426.868 * * [simplify]: Extracting #2: cost 239 inf + 0 426.870 * * [simplify]: Extracting #3: cost 320 inf + 2 426.879 * * [simplify]: Extracting #4: cost 320 inf + 1750 426.891 * * [simplify]: Extracting #5: cost 204 inf + 52698 426.914 * * [simplify]: Extracting #6: cost 35 inf + 169998 426.952 * * [simplify]: Extracting #7: cost 1 inf + 194706 426.994 * * [simplify]: Extracting #8: cost 0 inf + 193357 427.033 * * [simplify]: Extracting #9: cost 0 inf + 193226 427.086 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 427.086 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 427.087 * * * * [progress]: [ 531 / 667 ] simplifiying candidate # 427.087 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 427.087 * * [simplify]: iters left: 6 (19 enodes) 427.096 * * [simplify]: iters left: 5 (78 enodes) 427.109 * * [simplify]: iters left: 4 (117 enodes) 427.139 * * [simplify]: iters left: 3 (196 enodes) 427.186 * * [simplify]: iters left: 2 (390 enodes) 427.370 * * [simplify]: Extracting #0: cost 1 inf + 0 427.370 * * [simplify]: Extracting #1: cost 55 inf + 0 427.371 * * [simplify]: Extracting #2: cost 137 inf + 1 427.372 * * [simplify]: Extracting #3: cost 199 inf + 3 427.373 * * [simplify]: Extracting #4: cost 216 inf + 222 427.374 * * [simplify]: Extracting #5: cost 197 inf + 2404 427.377 * * [simplify]: Extracting #6: cost 129 inf + 15757 427.397 * * [simplify]: Extracting #7: cost 34 inf + 73519 427.430 * * [simplify]: Extracting #8: cost 0 inf + 101183 427.455 * * [simplify]: Extracting #9: cost 0 inf + 100932 427.471 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) 427.471 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 427.472 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 427.472 * * [simplify]: iters left: 6 (17 enodes) 427.480 * * [simplify]: iters left: 5 (71 enodes) 427.503 * * [simplify]: iters left: 4 (119 enodes) 427.542 * * [simplify]: iters left: 3 (205 enodes) 427.610 * * [simplify]: iters left: 2 (425 enodes) 427.765 * * [simplify]: Extracting #0: cost 1 inf + 0 427.766 * * [simplify]: Extracting #1: cost 88 inf + 0 427.767 * * [simplify]: Extracting #2: cost 239 inf + 0 427.769 * * [simplify]: Extracting #3: cost 321 inf + 2 427.772 * * [simplify]: Extracting #4: cost 312 inf + 4525 427.783 * * [simplify]: Extracting #5: cost 220 inf + 38131 427.804 * * [simplify]: Extracting #6: cost 96 inf + 112067 427.845 * * [simplify]: Extracting #7: cost 5 inf + 186347 427.898 * * [simplify]: Extracting #8: cost 0 inf + 191304 427.951 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 427.951 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 427.952 * * * * [progress]: [ 532 / 667 ] simplifiying candidate # 427.952 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 427.952 * * [simplify]: iters left: 6 (19 enodes) 427.965 * * [simplify]: iters left: 5 (78 enodes) 427.992 * * [simplify]: iters left: 4 (117 enodes) 428.029 * * [simplify]: iters left: 3 (196 enodes) 428.096 * * [simplify]: iters left: 2 (390 enodes) 428.247 * * [simplify]: Extracting #0: cost 1 inf + 0 428.247 * * [simplify]: Extracting #1: cost 55 inf + 0 428.248 * * [simplify]: Extracting #2: cost 136 inf + 1 428.249 * * [simplify]: Extracting #3: cost 198 inf + 3 428.251 * * [simplify]: Extracting #4: cost 216 inf + 222 428.254 * * [simplify]: Extracting #5: cost 198 inf + 2243 428.259 * * [simplify]: Extracting #6: cost 130 inf + 15596 428.275 * * [simplify]: Extracting #7: cost 34 inf + 73519 428.291 * * [simplify]: Extracting #8: cost 0 inf + 101183 428.316 * * [simplify]: Extracting #9: cost 0 inf + 100932 428.332 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (fabs (cbrt k)))) 428.332 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 428.333 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 428.333 * * [simplify]: iters left: 6 (18 enodes) 428.338 * * [simplify]: iters left: 5 (74 enodes) 428.353 * * [simplify]: iters left: 4 (122 enodes) 428.394 * * [simplify]: iters left: 3 (211 enodes) 428.475 * * [simplify]: iters left: 2 (432 enodes) 428.641 * * [simplify]: Extracting #0: cost 1 inf + 0 428.641 * * [simplify]: Extracting #1: cost 88 inf + 0 428.642 * * [simplify]: Extracting #2: cost 240 inf + 0 428.647 * * [simplify]: Extracting #3: cost 325 inf + 2 428.649 * * [simplify]: Extracting #4: cost 300 inf + 9637 428.657 * * [simplify]: Extracting #5: cost 177 inf + 66083 428.702 * * [simplify]: Extracting #6: cost 30 inf + 171005 428.743 * * [simplify]: Extracting #7: cost 0 inf + 197979 428.788 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 428.788 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 428.788 * * * * [progress]: [ 533 / 667 ] simplifiying candidate # 428.789 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 428.789 * * [simplify]: iters left: 6 (18 enodes) 428.802 * * [simplify]: iters left: 5 (74 enodes) 428.815 * * [simplify]: iters left: 4 (113 enodes) 428.837 * * [simplify]: iters left: 3 (192 enodes) 428.889 * * [simplify]: iters left: 2 (386 enodes) 429.076 * * [simplify]: Extracting #0: cost 1 inf + 0 429.076 * * [simplify]: Extracting #1: cost 60 inf + 0 429.077 * * [simplify]: Extracting #2: cost 147 inf + 1 429.078 * * [simplify]: Extracting #3: cost 205 inf + 3 429.080 * * [simplify]: Extracting #4: cost 221 inf + 222 429.083 * * [simplify]: Extracting #5: cost 195 inf + 2959 429.090 * * [simplify]: Extracting #6: cost 123 inf + 19729 429.104 * * [simplify]: Extracting #7: cost 21 inf + 90784 429.125 * * [simplify]: Extracting #8: cost 0 inf + 106107 429.158 * * [simplify]: Extracting #9: cost 0 inf + 105263 429.191 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) 429.191 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 429.192 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 429.192 * * [simplify]: iters left: 6 (16 enodes) 429.201 * * [simplify]: iters left: 5 (68 enodes) 429.224 * * [simplify]: iters left: 4 (116 enodes) 429.261 * * [simplify]: iters left: 3 (205 enodes) 429.317 * * [simplify]: iters left: 2 (426 enodes) 429.486 * * [simplify]: Extracting #0: cost 1 inf + 0 429.486 * * [simplify]: Extracting #1: cost 88 inf + 0 429.487 * * [simplify]: Extracting #2: cost 239 inf + 0 429.489 * * [simplify]: Extracting #3: cost 320 inf + 2 429.492 * * [simplify]: Extracting #4: cost 320 inf + 1710 429.501 * * [simplify]: Extracting #5: cost 204 inf + 51298 429.522 * * [simplify]: Extracting #6: cost 35 inf + 165838 429.564 * * [simplify]: Extracting #7: cost 1 inf + 189706 429.600 * * [simplify]: Extracting #8: cost 0 inf + 188317 429.632 * * [simplify]: Extracting #9: cost 0 inf + 188186 429.662 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 429.663 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 429.663 * * * * [progress]: [ 534 / 667 ] simplifiying candidate # 429.663 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) 429.663 * * [simplify]: iters left: 6 (15 enodes) 429.669 * * [simplify]: iters left: 5 (65 enodes) 429.680 * * [simplify]: iters left: 4 (103 enodes) 429.712 * * [simplify]: iters left: 3 (167 enodes) 429.745 * * [simplify]: iters left: 2 (310 enodes) 429.844 * * [simplify]: Extracting #0: cost 1 inf + 0 429.844 * * [simplify]: Extracting #1: cost 30 inf + 0 429.845 * * [simplify]: Extracting #2: cost 106 inf + 2 429.846 * * [simplify]: Extracting #3: cost 154 inf + 176 429.847 * * [simplify]: Extracting #4: cost 150 inf + 807 429.851 * * [simplify]: Extracting #5: cost 100 inf + 8198 429.860 * * [simplify]: Extracting #6: cost 29 inf + 37618 429.869 * * [simplify]: Extracting #7: cost 0 inf + 59011 429.877 * * [simplify]: Extracting #8: cost 0 inf + 58243 429.886 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 429.886 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 429.887 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 429.887 * * [simplify]: iters left: 6 (15 enodes) 429.897 * * [simplify]: iters left: 5 (65 enodes) 429.918 * * [simplify]: iters left: 4 (105 enodes) 429.940 * * [simplify]: iters left: 3 (177 enodes) 429.989 * * [simplify]: iters left: 2 (337 enodes) 430.121 * * [simplify]: Extracting #0: cost 1 inf + 0 430.121 * * [simplify]: Extracting #1: cost 50 inf + 0 430.121 * * [simplify]: Extracting #2: cost 133 inf + 0 430.122 * * [simplify]: Extracting #3: cost 205 inf + 3 430.123 * * [simplify]: Extracting #4: cost 200 inf + 1586 430.129 * * [simplify]: Extracting #5: cost 133 inf + 17670 430.138 * * [simplify]: Extracting #6: cost 39 inf + 70234 430.156 * * [simplify]: Extracting #7: cost 0 inf + 102220 430.173 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 430.173 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 430.173 * * * * [progress]: [ 535 / 667 ] simplifiying candidate # 430.173 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 430.174 * * [simplify]: iters left: 6 (18 enodes) 430.181 * * [simplify]: iters left: 5 (74 enodes) 430.194 * * [simplify]: iters left: 4 (113 enodes) 430.222 * * [simplify]: iters left: 3 (192 enodes) 430.266 * * [simplify]: iters left: 2 (386 enodes) 430.385 * * [simplify]: Extracting #0: cost 1 inf + 0 430.385 * * [simplify]: Extracting #1: cost 60 inf + 0 430.386 * * [simplify]: Extracting #2: cost 147 inf + 1 430.386 * * [simplify]: Extracting #3: cost 205 inf + 3 430.387 * * [simplify]: Extracting #4: cost 221 inf + 222 430.388 * * [simplify]: Extracting #5: cost 195 inf + 2959 430.392 * * [simplify]: Extracting #6: cost 123 inf + 19729 430.403 * * [simplify]: Extracting #7: cost 21 inf + 90784 430.430 * * [simplify]: Extracting #8: cost 0 inf + 106107 430.453 * * [simplify]: Extracting #9: cost 0 inf + 105263 430.469 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) 430.469 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 430.470 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 430.470 * * [simplify]: iters left: 6 (16 enodes) 430.474 * * [simplify]: iters left: 5 (68 enodes) 430.499 * * [simplify]: iters left: 4 (116 enodes) 430.525 * * [simplify]: iters left: 3 (205 enodes) 430.575 * * [simplify]: iters left: 2 (426 enodes) 430.733 * * [simplify]: Extracting #0: cost 1 inf + 0 430.733 * * [simplify]: Extracting #1: cost 88 inf + 0 430.734 * * [simplify]: Extracting #2: cost 239 inf + 0 430.735 * * [simplify]: Extracting #3: cost 320 inf + 2 430.736 * * [simplify]: Extracting #4: cost 320 inf + 1710 430.742 * * [simplify]: Extracting #5: cost 204 inf + 51298 430.764 * * [simplify]: Extracting #6: cost 35 inf + 165838 430.793 * * [simplify]: Extracting #7: cost 1 inf + 189706 430.827 * * [simplify]: Extracting #8: cost 0 inf + 188317 430.861 * * [simplify]: Extracting #9: cost 0 inf + 188186 430.895 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 430.896 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 430.896 * * * * [progress]: [ 536 / 667 ] simplifiying candidate # 430.896 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt 1)) 430.896 * * [simplify]: iters left: 6 (15 enodes) 430.903 * * [simplify]: iters left: 5 (65 enodes) 430.919 * * [simplify]: iters left: 4 (103 enodes) 430.947 * * [simplify]: iters left: 3 (167 enodes) 430.978 * * [simplify]: iters left: 2 (310 enodes) 431.070 * * [simplify]: Extracting #0: cost 1 inf + 0 431.070 * * [simplify]: Extracting #1: cost 30 inf + 0 431.070 * * [simplify]: Extracting #2: cost 106 inf + 2 431.071 * * [simplify]: Extracting #3: cost 154 inf + 176 431.072 * * [simplify]: Extracting #4: cost 150 inf + 807 431.073 * * [simplify]: Extracting #5: cost 100 inf + 8198 431.081 * * [simplify]: Extracting #6: cost 29 inf + 37618 431.089 * * [simplify]: Extracting #7: cost 0 inf + 59011 431.097 * * [simplify]: Extracting #8: cost 0 inf + 58243 431.107 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 431.107 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 431.107 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 431.107 * * [simplify]: iters left: 6 (15 enodes) 431.112 * * [simplify]: iters left: 5 (65 enodes) 431.123 * * [simplify]: iters left: 4 (105 enodes) 431.143 * * [simplify]: iters left: 3 (177 enodes) 431.196 * * [simplify]: iters left: 2 (337 enodes) 431.298 * * [simplify]: Extracting #0: cost 1 inf + 0 431.299 * * [simplify]: Extracting #1: cost 50 inf + 0 431.299 * * [simplify]: Extracting #2: cost 133 inf + 0 431.300 * * [simplify]: Extracting #3: cost 205 inf + 3 431.301 * * [simplify]: Extracting #4: cost 200 inf + 1586 431.304 * * [simplify]: Extracting #5: cost 133 inf + 17670 431.312 * * [simplify]: Extracting #6: cost 39 inf + 70234 431.337 * * [simplify]: Extracting #7: cost 0 inf + 102220 431.365 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 431.365 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt 1)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 431.366 * * * * [progress]: [ 537 / 667 ] simplifiying candidate # 431.366 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 431.366 * * [simplify]: iters left: 6 (18 enodes) 431.379 * * [simplify]: iters left: 5 (74 enodes) 431.407 * * [simplify]: iters left: 4 (113 enodes) 431.445 * * [simplify]: iters left: 3 (192 enodes) 431.518 * * [simplify]: iters left: 2 (386 enodes) 431.656 * * [simplify]: Extracting #0: cost 1 inf + 0 431.657 * * [simplify]: Extracting #1: cost 60 inf + 0 431.658 * * [simplify]: Extracting #2: cost 147 inf + 1 431.659 * * [simplify]: Extracting #3: cost 205 inf + 3 431.661 * * [simplify]: Extracting #4: cost 221 inf + 222 431.664 * * [simplify]: Extracting #5: cost 195 inf + 2959 431.671 * * [simplify]: Extracting #6: cost 123 inf + 19729 431.694 * * [simplify]: Extracting #7: cost 21 inf + 90784 431.726 * * [simplify]: Extracting #8: cost 0 inf + 106107 431.764 * * [simplify]: Extracting #9: cost 0 inf + 105263 431.796 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) 431.796 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 431.797 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 431.797 * * [simplify]: iters left: 6 (16 enodes) 431.807 * * [simplify]: iters left: 5 (68 enodes) 431.829 * * [simplify]: iters left: 4 (116 enodes) 431.857 * * [simplify]: iters left: 3 (205 enodes) 431.904 * * [simplify]: iters left: 2 (426 enodes) 432.035 * * [simplify]: Extracting #0: cost 1 inf + 0 432.036 * * [simplify]: Extracting #1: cost 88 inf + 0 432.037 * * [simplify]: Extracting #2: cost 239 inf + 0 432.039 * * [simplify]: Extracting #3: cost 320 inf + 2 432.042 * * [simplify]: Extracting #4: cost 320 inf + 1710 432.059 * * [simplify]: Extracting #5: cost 204 inf + 51298 432.101 * * [simplify]: Extracting #6: cost 35 inf + 165838 432.154 * * [simplify]: Extracting #7: cost 1 inf + 189706 432.183 * * [simplify]: Extracting #8: cost 0 inf + 188317 432.222 * * [simplify]: Extracting #9: cost 0 inf + 188186 432.251 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 432.251 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 432.251 * * * * [progress]: [ 538 / 667 ] simplifiying candidate # 432.251 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) 1) 432.251 * * [simplify]: iters left: 6 (15 enodes) 432.258 * * [simplify]: iters left: 5 (63 enodes) 432.269 * * [simplify]: iters left: 4 (101 enodes) 432.294 * * [simplify]: iters left: 3 (164 enodes) 432.338 * * [simplify]: iters left: 2 (305 enodes) 432.426 * * [simplify]: Extracting #0: cost 1 inf + 0 432.426 * * [simplify]: Extracting #1: cost 29 inf + 0 432.427 * * [simplify]: Extracting #2: cost 106 inf + 2 432.427 * * [simplify]: Extracting #3: cost 153 inf + 218 432.428 * * [simplify]: Extracting #4: cost 144 inf + 1302 432.430 * * [simplify]: Extracting #5: cost 89 inf + 9105 432.434 * * [simplify]: Extracting #6: cost 47 inf + 24003 432.441 * * [simplify]: Extracting #7: cost 6 inf + 53498 432.456 * * [simplify]: Extracting #8: cost 0 inf + 58418 432.467 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 432.468 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 432.468 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 432.468 * * [simplify]: iters left: 6 (15 enodes) 432.472 * * [simplify]: iters left: 5 (65 enodes) 432.483 * * [simplify]: iters left: 4 (105 enodes) 432.511 * * [simplify]: iters left: 3 (177 enodes) 432.573 * * [simplify]: iters left: 2 (337 enodes) 432.661 * * [simplify]: Extracting #0: cost 1 inf + 0 432.661 * * [simplify]: Extracting #1: cost 50 inf + 0 432.662 * * [simplify]: Extracting #2: cost 133 inf + 0 432.663 * * [simplify]: Extracting #3: cost 205 inf + 3 432.665 * * [simplify]: Extracting #4: cost 200 inf + 1586 432.671 * * [simplify]: Extracting #5: cost 133 inf + 17670 432.689 * * [simplify]: Extracting #6: cost 39 inf + 70234 432.722 * * [simplify]: Extracting #7: cost 0 inf + 102220 432.748 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 432.748 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) 1) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 432.748 * * * * [progress]: [ 539 / 667 ] simplifiying candidate # 432.748 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 432.748 * * [simplify]: iters left: 6 (18 enodes) 432.753 * * [simplify]: iters left: 5 (76 enodes) 432.766 * * [simplify]: iters left: 4 (129 enodes) 432.802 * * [simplify]: iters left: 3 (239 enodes) 432.896 * * [simplify]: Extracting #0: cost 1 inf + 0 432.896 * * [simplify]: Extracting #1: cost 54 inf + 0 432.897 * * [simplify]: Extracting #2: cost 126 inf + 0 432.897 * * [simplify]: Extracting #3: cost 173 inf + 0 432.898 * * [simplify]: Extracting #4: cost 181 inf + 178 432.899 * * [simplify]: Extracting #5: cost 148 inf + 3634 432.903 * * [simplify]: Extracting #6: cost 72 inf + 34343 432.913 * * [simplify]: Extracting #7: cost 17 inf + 72324 432.929 * * [simplify]: Extracting #8: cost 0 inf + 85488 432.957 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 432.957 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 432.958 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 432.958 * * [simplify]: iters left: 6 (17 enodes) 432.967 * * [simplify]: iters left: 5 (71 enodes) 432.990 * * [simplify]: iters left: 4 (119 enodes) 433.028 * * [simplify]: iters left: 3 (205 enodes) 433.087 * * [simplify]: iters left: 2 (425 enodes) 433.215 * * [simplify]: Extracting #0: cost 1 inf + 0 433.215 * * [simplify]: Extracting #1: cost 88 inf + 0 433.216 * * [simplify]: Extracting #2: cost 238 inf + 0 433.217 * * [simplify]: Extracting #3: cost 319 inf + 2 433.218 * * [simplify]: Extracting #4: cost 333 inf + 264 433.220 * * [simplify]: Extracting #5: cost 300 inf + 8979 433.231 * * [simplify]: Extracting #6: cost 129 inf + 85300 433.263 * * [simplify]: Extracting #7: cost 2 inf + 186735 433.291 * * [simplify]: Extracting #8: cost 0 inf + 187949 433.332 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 433.332 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 433.333 * * * * [progress]: [ 540 / 667 ] simplifiying candidate # 433.333 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 433.333 * * [simplify]: iters left: 6 (19 enodes) 433.338 * * [simplify]: iters left: 5 (78 enodes) 433.359 * * [simplify]: iters left: 4 (126 enodes) 433.391 * * [simplify]: iters left: 3 (215 enodes) 433.438 * * [simplify]: iters left: 2 (439 enodes) 433.623 * * [simplify]: Extracting #0: cost 1 inf + 0 433.623 * * [simplify]: Extracting #1: cost 89 inf + 0 433.624 * * [simplify]: Extracting #2: cost 242 inf + 0 433.626 * * [simplify]: Extracting #3: cost 325 inf + 2 433.629 * * [simplify]: Extracting #4: cost 338 inf + 264 433.633 * * [simplify]: Extracting #5: cost 314 inf + 2827 433.640 * * [simplify]: Extracting #6: cost 241 inf + 18199 433.670 * * [simplify]: Extracting #7: cost 85 inf + 126790 433.729 * * [simplify]: Extracting #8: cost 0 inf + 202496 433.764 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 433.764 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 433.764 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 433.764 * * [simplify]: iters left: 6 (18 enodes) 433.770 * * [simplify]: iters left: 5 (74 enodes) 433.793 * * [simplify]: iters left: 4 (122 enodes) 433.835 * * [simplify]: iters left: 3 (211 enodes) 433.912 * * [simplify]: iters left: 2 (432 enodes) 434.087 * * [simplify]: Extracting #0: cost 1 inf + 0 434.087 * * [simplify]: Extracting #1: cost 87 inf + 0 434.089 * * [simplify]: Extracting #2: cost 239 inf + 0 434.091 * * [simplify]: Extracting #3: cost 323 inf + 2 434.093 * * [simplify]: Extracting #4: cost 338 inf + 222 434.096 * * [simplify]: Extracting #5: cost 330 inf + 1368 434.104 * * [simplify]: Extracting #6: cost 255 inf + 23574 434.137 * * [simplify]: Extracting #7: cost 71 inf + 143283 434.193 * * [simplify]: Extracting #8: cost 0 inf + 202184 434.235 * * [simplify]: Extracting #9: cost 0 inf + 201389 434.291 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 434.291 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 434.291 * * * * [progress]: [ 541 / 667 ] simplifiying candidate # 434.291 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 434.292 * * [simplify]: iters left: 6 (20 enodes) 434.302 * * [simplify]: iters left: 5 (81 enodes) 434.328 * * [simplify]: iters left: 4 (129 enodes) 434.372 * * [simplify]: iters left: 3 (216 enodes) 434.447 * * [simplify]: iters left: 2 (432 enodes) 434.633 * * [simplify]: Extracting #0: cost 1 inf + 0 434.634 * * [simplify]: Extracting #1: cost 86 inf + 0 434.635 * * [simplify]: Extracting #2: cost 235 inf + 0 434.637 * * [simplify]: Extracting #3: cost 318 inf + 2 434.640 * * [simplify]: Extracting #4: cost 334 inf + 306 434.643 * * [simplify]: Extracting #5: cost 319 inf + 2349 434.648 * * [simplify]: Extracting #6: cost 218 inf + 38933 434.670 * * [simplify]: Extracting #7: cost 46 inf + 164011 434.701 * * [simplify]: Extracting #8: cost 0 inf + 199382 434.757 * * [simplify]: Extracting #9: cost 0 inf + 198033 434.802 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 434.802 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 434.802 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 434.802 * * [simplify]: iters left: 6 (19 enodes) 434.808 * * [simplify]: iters left: 5 (77 enodes) 434.821 * * [simplify]: iters left: 4 (125 enodes) 434.857 * * [simplify]: iters left: 3 (214 enodes) 434.909 * * [simplify]: iters left: 2 (437 enodes) 435.090 * * [simplify]: Extracting #0: cost 1 inf + 0 435.090 * * [simplify]: Extracting #1: cost 91 inf + 0 435.091 * * [simplify]: Extracting #2: cost 243 inf + 0 435.094 * * [simplify]: Extracting #3: cost 326 inf + 2 435.097 * * [simplify]: Extracting #4: cost 341 inf + 264 435.100 * * [simplify]: Extracting #5: cost 332 inf + 1252 435.106 * * [simplify]: Extracting #6: cost 270 inf + 10988 435.125 * * [simplify]: Extracting #7: cost 147 inf + 83080 435.150 * * [simplify]: Extracting #8: cost 10 inf + 200419 435.207 * * [simplify]: Extracting #9: cost 0 inf + 205232 435.263 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))) 435.263 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))))) 435.264 * * * * [progress]: [ 542 / 667 ] simplifiying candidate # 435.264 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 435.264 * * [simplify]: iters left: 6 (16 enodes) 435.269 * * [simplify]: iters left: 5 (68 enodes) 435.280 * * [simplify]: iters left: 4 (108 enodes) 435.301 * * [simplify]: iters left: 3 (180 enodes) 435.344 * * [simplify]: iters left: 2 (343 enodes) 435.451 * * [simplify]: Extracting #0: cost 1 inf + 0 435.451 * * [simplify]: Extracting #1: cost 50 inf + 0 435.452 * * [simplify]: Extracting #2: cost 133 inf + 0 435.453 * * [simplify]: Extracting #3: cost 209 inf + 2 435.456 * * [simplify]: Extracting #4: cost 193 inf + 6437 435.466 * * [simplify]: Extracting #5: cost 64 inf + 72483 435.491 * * [simplify]: Extracting #6: cost 1 inf + 107774 435.524 * * [simplify]: Extracting #7: cost 0 inf + 103014 435.541 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 435.541 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 435.541 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 435.541 * * [simplify]: iters left: 6 (16 enodes) 435.549 * * [simplify]: iters left: 5 (68 enodes) 435.572 * * [simplify]: iters left: 4 (108 enodes) 435.593 * * [simplify]: iters left: 3 (180 enodes) 435.649 * * [simplify]: iters left: 2 (343 enodes) 435.764 * * [simplify]: Extracting #0: cost 1 inf + 0 435.765 * * [simplify]: Extracting #1: cost 50 inf + 0 435.765 * * [simplify]: Extracting #2: cost 133 inf + 0 435.766 * * [simplify]: Extracting #3: cost 209 inf + 2 435.767 * * [simplify]: Extracting #4: cost 193 inf + 6437 435.786 * * [simplify]: Extracting #5: cost 64 inf + 72483 435.814 * * [simplify]: Extracting #6: cost 1 inf + 107774 435.830 * * [simplify]: Extracting #7: cost 0 inf + 103014 435.855 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 435.855 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 435.855 * * * * [progress]: [ 543 / 667 ] simplifiying candidate # 435.856 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 435.856 * * [simplify]: iters left: 6 (18 enodes) 435.865 * * [simplify]: iters left: 5 (74 enodes) 435.877 * * [simplify]: iters left: 4 (117 enodes) 435.914 * * [simplify]: iters left: 3 (201 enodes) 435.994 * * [simplify]: iters left: 2 (415 enodes) 436.187 * * [simplify]: Extracting #0: cost 1 inf + 0 436.188 * * [simplify]: Extracting #1: cost 68 inf + 0 436.188 * * [simplify]: Extracting #2: cost 163 inf + 1 436.189 * * [simplify]: Extracting #3: cost 222 inf + 3 436.190 * * [simplify]: Extracting #4: cost 239 inf + 139 436.191 * * [simplify]: Extracting #5: cost 224 inf + 1794 436.196 * * [simplify]: Extracting #6: cost 127 inf + 29607 436.220 * * [simplify]: Extracting #7: cost 19 inf + 106143 436.261 * * [simplify]: Extracting #8: cost 0 inf + 120677 436.306 * * [simplify]: Extracting #9: cost 0 inf + 120545 436.327 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) 436.327 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 436.327 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 436.327 * * [simplify]: iters left: 6 (16 enodes) 436.332 * * [simplify]: iters left: 5 (68 enodes) 436.347 * * [simplify]: iters left: 4 (116 enodes) 436.386 * * [simplify]: iters left: 3 (205 enodes) 436.462 * * [simplify]: iters left: 2 (426 enodes) 436.622 * * [simplify]: Extracting #0: cost 1 inf + 0 436.623 * * [simplify]: Extracting #1: cost 86 inf + 0 436.623 * * [simplify]: Extracting #2: cost 236 inf + 0 436.624 * * [simplify]: Extracting #3: cost 317 inf + 2 436.626 * * [simplify]: Extracting #4: cost 316 inf + 1620 436.634 * * [simplify]: Extracting #5: cost 240 inf + 21946 436.650 * * [simplify]: Extracting #6: cost 60 inf + 142560 436.697 * * [simplify]: Extracting #7: cost 0 inf + 195011 436.733 * * [simplify]: Extracting #8: cost 0 inf + 192290 436.771 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 436.771 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 436.771 * * * * [progress]: [ 544 / 667 ] simplifiying candidate # 436.772 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 436.772 * * [simplify]: iters left: 6 (16 enodes) 436.777 * * [simplify]: iters left: 5 (68 enodes) 436.789 * * [simplify]: iters left: 4 (108 enodes) 436.815 * * [simplify]: iters left: 3 (180 enodes) 436.882 * * [simplify]: iters left: 2 (343 enodes) 436.996 * * [simplify]: Extracting #0: cost 1 inf + 0 436.996 * * [simplify]: Extracting #1: cost 50 inf + 0 436.997 * * [simplify]: Extracting #2: cost 133 inf + 0 436.998 * * [simplify]: Extracting #3: cost 209 inf + 2 437.000 * * [simplify]: Extracting #4: cost 193 inf + 6437 437.019 * * [simplify]: Extracting #5: cost 64 inf + 72483 437.036 * * [simplify]: Extracting #6: cost 1 inf + 107774 437.054 * * [simplify]: Extracting #7: cost 0 inf + 103014 437.086 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 437.086 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 437.086 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 437.087 * * [simplify]: iters left: 6 (16 enodes) 437.095 * * [simplify]: iters left: 5 (68 enodes) 437.121 * * [simplify]: iters left: 4 (108 enodes) 437.154 * * [simplify]: iters left: 3 (180 enodes) 437.197 * * [simplify]: iters left: 2 (343 enodes) 437.295 * * [simplify]: Extracting #0: cost 1 inf + 0 437.295 * * [simplify]: Extracting #1: cost 50 inf + 0 437.295 * * [simplify]: Extracting #2: cost 133 inf + 0 437.297 * * [simplify]: Extracting #3: cost 209 inf + 2 437.299 * * [simplify]: Extracting #4: cost 193 inf + 6437 437.318 * * [simplify]: Extracting #5: cost 64 inf + 72483 437.342 * * [simplify]: Extracting #6: cost 1 inf + 107774 437.360 * * [simplify]: Extracting #7: cost 0 inf + 103014 437.393 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 437.394 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 437.394 * * * * [progress]: [ 545 / 667 ] simplifiying candidate # 437.394 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 437.394 * * [simplify]: iters left: 6 (17 enodes) 437.404 * * [simplify]: iters left: 5 (71 enodes) 437.427 * * [simplify]: iters left: 4 (114 enodes) 437.466 * * [simplify]: iters left: 3 (193 enodes) 437.536 * * [simplify]: iters left: 2 (393 enodes) 437.696 * * [simplify]: Extracting #0: cost 1 inf + 0 437.696 * * [simplify]: Extracting #1: cost 68 inf + 0 437.697 * * [simplify]: Extracting #2: cost 168 inf + 1 437.698 * * [simplify]: Extracting #3: cost 223 inf + 3 437.700 * * [simplify]: Extracting #4: cost 238 inf + 181 437.702 * * [simplify]: Extracting #5: cost 229 inf + 1222 437.708 * * [simplify]: Extracting #6: cost 155 inf + 14856 437.733 * * [simplify]: Extracting #7: cost 43 inf + 90105 437.779 * * [simplify]: Extracting #8: cost 0 inf + 124372 437.804 * * [simplify]: Extracting #9: cost 0 inf + 124160 437.833 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) 437.833 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 437.833 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 437.834 * * [simplify]: iters left: 6 (16 enodes) 437.843 * * [simplify]: iters left: 5 (68 enodes) 437.865 * * [simplify]: iters left: 4 (116 enodes) 437.904 * * [simplify]: iters left: 3 (205 enodes) 437.950 * * [simplify]: iters left: 2 (426 enodes) 438.079 * * [simplify]: Extracting #0: cost 1 inf + 0 438.080 * * [simplify]: Extracting #1: cost 86 inf + 0 438.081 * * [simplify]: Extracting #2: cost 236 inf + 0 438.083 * * [simplify]: Extracting #3: cost 317 inf + 2 438.085 * * [simplify]: Extracting #4: cost 316 inf + 1620 438.093 * * [simplify]: Extracting #5: cost 240 inf + 21946 438.120 * * [simplify]: Extracting #6: cost 60 inf + 142560 438.151 * * [simplify]: Extracting #7: cost 0 inf + 195011 438.211 * * [simplify]: Extracting #8: cost 0 inf + 192290 438.266 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 438.267 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 438.267 * * * * [progress]: [ 546 / 667 ] simplifiying candidate # 438.267 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 438.267 * * [simplify]: iters left: 6 (16 enodes) 438.276 * * [simplify]: iters left: 5 (68 enodes) 438.299 * * [simplify]: iters left: 4 (108 enodes) 438.333 * * [simplify]: iters left: 3 (180 enodes) 438.377 * * [simplify]: iters left: 2 (343 enodes) 438.519 * * [simplify]: Extracting #0: cost 1 inf + 0 438.519 * * [simplify]: Extracting #1: cost 50 inf + 0 438.520 * * [simplify]: Extracting #2: cost 133 inf + 0 438.521 * * [simplify]: Extracting #3: cost 209 inf + 2 438.523 * * [simplify]: Extracting #4: cost 193 inf + 6437 438.541 * * [simplify]: Extracting #5: cost 64 inf + 72483 438.577 * * [simplify]: Extracting #6: cost 1 inf + 107774 438.614 * * [simplify]: Extracting #7: cost 0 inf + 103014 438.631 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 438.631 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 438.632 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 438.632 * * [simplify]: iters left: 6 (16 enodes) 438.637 * * [simplify]: iters left: 5 (68 enodes) 438.649 * * [simplify]: iters left: 4 (108 enodes) 438.668 * * [simplify]: iters left: 3 (180 enodes) 438.705 * * [simplify]: iters left: 2 (343 enodes) 438.833 * * [simplify]: Extracting #0: cost 1 inf + 0 438.834 * * [simplify]: Extracting #1: cost 50 inf + 0 438.834 * * [simplify]: Extracting #2: cost 133 inf + 0 438.835 * * [simplify]: Extracting #3: cost 209 inf + 2 438.836 * * [simplify]: Extracting #4: cost 193 inf + 6437 438.845 * * [simplify]: Extracting #5: cost 64 inf + 72483 438.864 * * [simplify]: Extracting #6: cost 1 inf + 107774 438.888 * * [simplify]: Extracting #7: cost 0 inf + 103014 438.905 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 438.905 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 438.906 * * * * [progress]: [ 547 / 667 ] simplifiying candidate # 438.906 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 1) 438.906 * * [simplify]: iters left: 6 (16 enodes) 438.911 * * [simplify]: iters left: 5 (66 enodes) 438.935 * * [simplify]: iters left: 4 (110 enodes) 438.958 * * [simplify]: iters left: 3 (196 enodes) 439.017 * * [simplify]: iters left: 2 (429 enodes) 439.185 * * [simplify]: Extracting #0: cost 1 inf + 0 439.185 * * [simplify]: Extracting #1: cost 64 inf + 0 439.186 * * [simplify]: Extracting #2: cost 160 inf + 1 439.187 * * [simplify]: Extracting #3: cost 219 inf + 3 439.188 * * [simplify]: Extracting #4: cost 232 inf + 181 439.190 * * [simplify]: Extracting #5: cost 199 inf + 6670 439.198 * * [simplify]: Extracting #6: cost 83 inf + 54767 439.237 * * [simplify]: Extracting #7: cost 7 inf + 108485 439.284 * * [simplify]: Extracting #8: cost 0 inf + 112722 439.333 * * [simplify]: Extracting #9: cost 0 inf + 112403 439.378 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) 439.379 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 439.379 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 439.379 * * [simplify]: iters left: 6 (16 enodes) 439.384 * * [simplify]: iters left: 5 (68 enodes) 439.396 * * [simplify]: iters left: 4 (116 enodes) 439.423 * * [simplify]: iters left: 3 (205 enodes) 439.477 * * [simplify]: iters left: 2 (426 enodes) 439.660 * * [simplify]: Extracting #0: cost 1 inf + 0 439.661 * * [simplify]: Extracting #1: cost 86 inf + 0 439.662 * * [simplify]: Extracting #2: cost 236 inf + 0 439.664 * * [simplify]: Extracting #3: cost 317 inf + 2 439.667 * * [simplify]: Extracting #4: cost 316 inf + 1620 439.674 * * [simplify]: Extracting #5: cost 240 inf + 21946 439.697 * * [simplify]: Extracting #6: cost 60 inf + 142560 439.724 * * [simplify]: Extracting #7: cost 0 inf + 195011 439.761 * * [simplify]: Extracting #8: cost 0 inf + 192290 439.816 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 439.817 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 439.817 * * * * [progress]: [ 548 / 667 ] simplifiying candidate # 439.817 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 439.817 * * [simplify]: iters left: 6 (18 enodes) 439.829 * * [simplify]: iters left: 5 (76 enodes) 439.847 * * [simplify]: iters left: 4 (119 enodes) 439.868 * * [simplify]: iters left: 3 (203 enodes) 439.940 * * [simplify]: iters left: 2 (445 enodes) 440.121 * * [simplify]: Extracting #0: cost 1 inf + 0 440.121 * * [simplify]: Extracting #1: cost 84 inf + 0 440.122 * * [simplify]: Extracting #2: cost 233 inf + 1 440.127 * * [simplify]: Extracting #3: cost 291 inf + 3 440.128 * * [simplify]: Extracting #4: cost 307 inf + 264 440.130 * * [simplify]: Extracting #5: cost 289 inf + 3068 440.135 * * [simplify]: Extracting #6: cost 206 inf + 23758 440.154 * * [simplify]: Extracting #7: cost 40 inf + 150875 440.187 * * [simplify]: Extracting #8: cost 0 inf + 179782 440.223 * * [simplify]: Extracting #9: cost 0 inf + 178341 440.259 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 440.259 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 440.260 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 440.260 * * [simplify]: iters left: 6 (16 enodes) 440.269 * * [simplify]: iters left: 5 (68 enodes) 440.291 * * [simplify]: iters left: 4 (116 enodes) 440.329 * * [simplify]: iters left: 3 (205 enodes) 440.406 * * [simplify]: iters left: 2 (426 enodes) 440.567 * * [simplify]: Extracting #0: cost 1 inf + 0 440.567 * * [simplify]: Extracting #1: cost 88 inf + 0 440.574 * * [simplify]: Extracting #2: cost 239 inf + 0 440.576 * * [simplify]: Extracting #3: cost 320 inf + 2 440.579 * * [simplify]: Extracting #4: cost 320 inf + 1750 440.591 * * [simplify]: Extracting #5: cost 204 inf + 52698 440.633 * * [simplify]: Extracting #6: cost 35 inf + 169998 440.674 * * [simplify]: Extracting #7: cost 1 inf + 194706 440.707 * * [simplify]: Extracting #8: cost 0 inf + 193357 440.761 * * [simplify]: Extracting #9: cost 0 inf + 193226 440.812 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 440.813 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 440.813 * * * * [progress]: [ 549 / 667 ] simplifiying candidate # 440.813 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 440.813 * * [simplify]: iters left: 6 (18 enodes) 440.825 * * [simplify]: iters left: 5 (75 enodes) 440.844 * * [simplify]: iters left: 4 (114 enodes) 440.867 * * [simplify]: iters left: 3 (193 enodes) 440.905 * * [simplify]: iters left: 2 (385 enodes) 441.011 * * [simplify]: Extracting #0: cost 1 inf + 0 441.012 * * [simplify]: Extracting #1: cost 57 inf + 0 441.013 * * [simplify]: Extracting #2: cost 145 inf + 1 441.014 * * [simplify]: Extracting #3: cost 203 inf + 3 441.016 * * [simplify]: Extracting #4: cost 218 inf + 222 441.019 * * [simplify]: Extracting #5: cost 171 inf + 8853 441.042 * * [simplify]: Extracting #6: cost 50 inf + 62551 441.077 * * [simplify]: Extracting #7: cost 0 inf + 94866 441.114 * * [simplify]: Extracting #8: cost 0 inf + 94494 441.132 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (fabs (cbrt (sqrt k)))) 441.132 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 441.133 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 441.133 * * [simplify]: iters left: 6 (17 enodes) 441.140 * * [simplify]: iters left: 5 (71 enodes) 441.152 * * [simplify]: iters left: 4 (119 enodes) 441.189 * * [simplify]: iters left: 3 (205 enodes) 441.255 * * [simplify]: iters left: 2 (425 enodes) 441.360 * * [simplify]: Extracting #0: cost 1 inf + 0 441.360 * * [simplify]: Extracting #1: cost 88 inf + 0 441.361 * * [simplify]: Extracting #2: cost 239 inf + 0 441.362 * * [simplify]: Extracting #3: cost 321 inf + 2 441.364 * * [simplify]: Extracting #4: cost 312 inf + 4525 441.370 * * [simplify]: Extracting #5: cost 220 inf + 38131 441.385 * * [simplify]: Extracting #6: cost 96 inf + 112067 441.414 * * [simplify]: Extracting #7: cost 5 inf + 186347 441.440 * * [simplify]: Extracting #8: cost 0 inf + 191304 441.483 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 441.484 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 441.484 * * * * [progress]: [ 550 / 667 ] simplifiying candidate # 441.484 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 441.484 * * [simplify]: iters left: 6 (18 enodes) 441.490 * * [simplify]: iters left: 5 (75 enodes) 441.506 * * [simplify]: iters left: 4 (114 enodes) 441.526 * * [simplify]: iters left: 3 (193 enodes) 441.566 * * [simplify]: iters left: 2 (385 enodes) 441.735 * * [simplify]: Extracting #0: cost 1 inf + 0 441.736 * * [simplify]: Extracting #1: cost 57 inf + 0 441.737 * * [simplify]: Extracting #2: cost 144 inf + 1 441.738 * * [simplify]: Extracting #3: cost 202 inf + 3 441.740 * * [simplify]: Extracting #4: cost 218 inf + 222 441.743 * * [simplify]: Extracting #5: cost 172 inf + 8811 441.765 * * [simplify]: Extracting #6: cost 49 inf + 63167 441.800 * * [simplify]: Extracting #7: cost 0 inf + 94866 441.836 * * [simplify]: Extracting #8: cost 0 inf + 94494 441.875 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (fabs (cbrt k)))) 441.875 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 441.876 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 441.876 * * [simplify]: iters left: 6 (18 enodes) 441.886 * * [simplify]: iters left: 5 (74 enodes) 441.909 * * [simplify]: iters left: 4 (122 enodes) 441.949 * * [simplify]: iters left: 3 (211 enodes) 442.028 * * [simplify]: iters left: 2 (432 enodes) 442.169 * * [simplify]: Extracting #0: cost 1 inf + 0 442.169 * * [simplify]: Extracting #1: cost 88 inf + 0 442.170 * * [simplify]: Extracting #2: cost 240 inf + 0 442.171 * * [simplify]: Extracting #3: cost 325 inf + 2 442.173 * * [simplify]: Extracting #4: cost 300 inf + 9637 442.181 * * [simplify]: Extracting #5: cost 177 inf + 66083 442.208 * * [simplify]: Extracting #6: cost 30 inf + 171005 442.237 * * [simplify]: Extracting #7: cost 0 inf + 197979 442.285 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 442.285 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 442.285 * * * * [progress]: [ 551 / 667 ] simplifiying candidate # 442.286 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 442.286 * * [simplify]: iters left: 6 (17 enodes) 442.296 * * [simplify]: iters left: 5 (71 enodes) 442.322 * * [simplify]: iters left: 4 (110 enodes) 442.347 * * [simplify]: iters left: 3 (186 enodes) 442.397 * * [simplify]: iters left: 2 (372 enodes) 442.561 * * [simplify]: Extracting #0: cost 1 inf + 0 442.562 * * [simplify]: Extracting #1: cost 60 inf + 0 442.563 * * [simplify]: Extracting #2: cost 147 inf + 1 442.564 * * [simplify]: Extracting #3: cost 205 inf + 3 442.566 * * [simplify]: Extracting #4: cost 221 inf + 181 442.569 * * [simplify]: Extracting #5: cost 202 inf + 2459 442.576 * * [simplify]: Extracting #6: cost 121 inf + 22715 442.598 * * [simplify]: Extracting #7: cost 23 inf + 90737 442.614 * * [simplify]: Extracting #8: cost 0 inf + 106966 442.644 * * [simplify]: Extracting #9: cost 0 inf + 106573 442.678 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) 442.678 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 442.678 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 442.678 * * [simplify]: iters left: 6 (16 enodes) 442.687 * * [simplify]: iters left: 5 (68 enodes) 442.709 * * [simplify]: iters left: 4 (116 enodes) 442.748 * * [simplify]: iters left: 3 (205 enodes) 442.825 * * [simplify]: iters left: 2 (426 enodes) 443.003 * * [simplify]: Extracting #0: cost 1 inf + 0 443.003 * * [simplify]: Extracting #1: cost 88 inf + 0 443.004 * * [simplify]: Extracting #2: cost 239 inf + 0 443.005 * * [simplify]: Extracting #3: cost 320 inf + 2 443.007 * * [simplify]: Extracting #4: cost 320 inf + 1710 443.016 * * [simplify]: Extracting #5: cost 204 inf + 51298 443.039 * * [simplify]: Extracting #6: cost 35 inf + 165838 443.073 * * [simplify]: Extracting #7: cost 1 inf + 189706 443.122 * * [simplify]: Extracting #8: cost 0 inf + 188317 443.151 * * [simplify]: Extracting #9: cost 0 inf + 188186 443.181 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 443.182 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 443.182 * * * * [progress]: [ 552 / 667 ] simplifiying candidate # 443.182 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt 1))) 443.182 * * [simplify]: iters left: 6 (15 enodes) 443.188 * * [simplify]: iters left: 5 (65 enodes) 443.207 * * [simplify]: iters left: 4 (103 enodes) 443.238 * * [simplify]: iters left: 3 (167 enodes) 443.280 * * [simplify]: iters left: 2 (310 enodes) 443.385 * * [simplify]: Extracting #0: cost 1 inf + 0 443.385 * * [simplify]: Extracting #1: cost 29 inf + 0 443.385 * * [simplify]: Extracting #2: cost 105 inf + 2 443.387 * * [simplify]: Extracting #3: cost 152 inf + 259 443.388 * * [simplify]: Extracting #4: cost 152 inf + 558 443.391 * * [simplify]: Extracting #5: cost 105 inf + 4736 443.397 * * [simplify]: Extracting #6: cost 57 inf + 18604 443.411 * * [simplify]: Extracting #7: cost 6 inf + 53001 443.423 * * [simplify]: Extracting #8: cost 0 inf + 57365 443.432 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 443.432 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 443.432 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 443.432 * * [simplify]: iters left: 6 (15 enodes) 443.437 * * [simplify]: iters left: 5 (65 enodes) 443.449 * * [simplify]: iters left: 4 (105 enodes) 443.470 * * [simplify]: iters left: 3 (177 enodes) 443.517 * * [simplify]: iters left: 2 (337 enodes) 443.641 * * [simplify]: Extracting #0: cost 1 inf + 0 443.641 * * [simplify]: Extracting #1: cost 50 inf + 0 443.642 * * [simplify]: Extracting #2: cost 133 inf + 0 443.643 * * [simplify]: Extracting #3: cost 205 inf + 3 443.645 * * [simplify]: Extracting #4: cost 200 inf + 1586 443.649 * * [simplify]: Extracting #5: cost 133 inf + 17670 443.658 * * [simplify]: Extracting #6: cost 39 inf + 70234 443.675 * * [simplify]: Extracting #7: cost 0 inf + 102220 443.701 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 443.701 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 443.701 * * * * [progress]: [ 553 / 667 ] simplifiying candidate # 443.702 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 443.702 * * [simplify]: iters left: 6 (17 enodes) 443.713 * * [simplify]: iters left: 5 (71 enodes) 443.735 * * [simplify]: iters left: 4 (110 enodes) 443.770 * * [simplify]: iters left: 3 (186 enodes) 443.827 * * [simplify]: iters left: 2 (372 enodes) 444.009 * * [simplify]: Extracting #0: cost 1 inf + 0 444.009 * * [simplify]: Extracting #1: cost 60 inf + 0 444.010 * * [simplify]: Extracting #2: cost 147 inf + 1 444.012 * * [simplify]: Extracting #3: cost 205 inf + 3 444.014 * * [simplify]: Extracting #4: cost 221 inf + 181 444.016 * * [simplify]: Extracting #5: cost 202 inf + 2459 444.025 * * [simplify]: Extracting #6: cost 121 inf + 22715 444.053 * * [simplify]: Extracting #7: cost 23 inf + 90737 444.070 * * [simplify]: Extracting #8: cost 0 inf + 106966 444.095 * * [simplify]: Extracting #9: cost 0 inf + 106573 444.114 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) 444.114 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 444.114 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 444.114 * * [simplify]: iters left: 6 (16 enodes) 444.119 * * [simplify]: iters left: 5 (68 enodes) 444.134 * * [simplify]: iters left: 4 (116 enodes) 444.162 * * [simplify]: iters left: 3 (205 enodes) 444.215 * * [simplify]: iters left: 2 (426 enodes) 444.348 * * [simplify]: Extracting #0: cost 1 inf + 0 444.348 * * [simplify]: Extracting #1: cost 88 inf + 0 444.349 * * [simplify]: Extracting #2: cost 239 inf + 0 444.350 * * [simplify]: Extracting #3: cost 320 inf + 2 444.351 * * [simplify]: Extracting #4: cost 320 inf + 1710 444.360 * * [simplify]: Extracting #5: cost 204 inf + 51298 444.386 * * [simplify]: Extracting #6: cost 35 inf + 165838 444.427 * * [simplify]: Extracting #7: cost 1 inf + 189706 444.483 * * [simplify]: Extracting #8: cost 0 inf + 188317 444.515 * * [simplify]: Extracting #9: cost 0 inf + 188186 444.561 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 444.561 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 444.561 * * * * [progress]: [ 554 / 667 ] simplifiying candidate # 444.561 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt 1)) 444.561 * * [simplify]: iters left: 6 (14 enodes) 444.571 * * [simplify]: iters left: 5 (62 enodes) 444.594 * * [simplify]: iters left: 4 (101 enodes) 444.619 * * [simplify]: iters left: 3 (161 enodes) 444.663 * * [simplify]: iters left: 2 (306 enodes) 444.789 * * [simplify]: Extracting #0: cost 1 inf + 0 444.789 * * [simplify]: Extracting #1: cost 33 inf + 0 444.790 * * [simplify]: Extracting #2: cost 105 inf + 2 444.791 * * [simplify]: Extracting #3: cost 148 inf + 176 444.792 * * [simplify]: Extracting #4: cost 142 inf + 972 444.796 * * [simplify]: Extracting #5: cost 85 inf + 10145 444.804 * * [simplify]: Extracting #6: cost 32 inf + 29860 444.819 * * [simplify]: Extracting #7: cost 3 inf + 51554 444.832 * * [simplify]: Extracting #8: cost 0 inf + 53184 444.843 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 444.843 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 444.843 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 444.843 * * [simplify]: iters left: 6 (15 enodes) 444.847 * * [simplify]: iters left: 5 (65 enodes) 444.858 * * [simplify]: iters left: 4 (105 enodes) 444.877 * * [simplify]: iters left: 3 (177 enodes) 444.912 * * [simplify]: iters left: 2 (337 enodes) 445.053 * * [simplify]: Extracting #0: cost 1 inf + 0 445.053 * * [simplify]: Extracting #1: cost 50 inf + 0 445.053 * * [simplify]: Extracting #2: cost 133 inf + 0 445.055 * * [simplify]: Extracting #3: cost 205 inf + 3 445.057 * * [simplify]: Extracting #4: cost 200 inf + 1586 445.061 * * [simplify]: Extracting #5: cost 133 inf + 17670 445.069 * * [simplify]: Extracting #6: cost 39 inf + 70234 445.082 * * [simplify]: Extracting #7: cost 0 inf + 102220 445.098 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 445.098 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt 1)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 445.098 * * * * [progress]: [ 555 / 667 ] simplifiying candidate # 445.099 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 445.099 * * [simplify]: iters left: 6 (17 enodes) 445.110 * * [simplify]: iters left: 5 (71 enodes) 445.128 * * [simplify]: iters left: 4 (110 enodes) 445.150 * * [simplify]: iters left: 3 (186 enodes) 445.198 * * [simplify]: iters left: 2 (372 enodes) 445.358 * * [simplify]: Extracting #0: cost 1 inf + 0 445.358 * * [simplify]: Extracting #1: cost 60 inf + 0 445.359 * * [simplify]: Extracting #2: cost 147 inf + 1 445.359 * * [simplify]: Extracting #3: cost 205 inf + 3 445.360 * * [simplify]: Extracting #4: cost 221 inf + 181 445.362 * * [simplify]: Extracting #5: cost 202 inf + 2459 445.365 * * [simplify]: Extracting #6: cost 121 inf + 22715 445.384 * * [simplify]: Extracting #7: cost 23 inf + 90737 445.410 * * [simplify]: Extracting #8: cost 0 inf + 106966 445.427 * * [simplify]: Extracting #9: cost 0 inf + 106573 445.457 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) 445.457 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 445.458 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 445.458 * * [simplify]: iters left: 6 (16 enodes) 445.469 * * [simplify]: iters left: 5 (68 enodes) 445.492 * * [simplify]: iters left: 4 (116 enodes) 445.518 * * [simplify]: iters left: 3 (205 enodes) 445.581 * * [simplify]: iters left: 2 (426 enodes) 445.789 * * [simplify]: Extracting #0: cost 1 inf + 0 445.789 * * [simplify]: Extracting #1: cost 88 inf + 0 445.791 * * [simplify]: Extracting #2: cost 239 inf + 0 445.793 * * [simplify]: Extracting #3: cost 320 inf + 2 445.796 * * [simplify]: Extracting #4: cost 320 inf + 1710 445.809 * * [simplify]: Extracting #5: cost 204 inf + 51298 445.834 * * [simplify]: Extracting #6: cost 35 inf + 165838 445.883 * * [simplify]: Extracting #7: cost 1 inf + 189706 445.912 * * [simplify]: Extracting #8: cost 0 inf + 188317 445.946 * * [simplify]: Extracting #9: cost 0 inf + 188186 445.981 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 445.981 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 445.981 * * * * [progress]: [ 556 / 667 ] simplifiying candidate # 445.981 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 1) 445.981 * * [simplify]: iters left: 6 (14 enodes) 445.987 * * [simplify]: iters left: 5 (60 enodes) 446.000 * * [simplify]: iters left: 4 (99 enodes) 446.029 * * [simplify]: iters left: 3 (158 enodes) 446.062 * * [simplify]: iters left: 2 (292 enodes) 446.143 * * [simplify]: Extracting #0: cost 1 inf + 0 446.143 * * [simplify]: Extracting #1: cost 33 inf + 0 446.143 * * [simplify]: Extracting #2: cost 99 inf + 2 446.144 * * [simplify]: Extracting #3: cost 144 inf + 218 446.145 * * [simplify]: Extracting #4: cost 139 inf + 889 446.146 * * [simplify]: Extracting #5: cost 88 inf + 6604 446.153 * * [simplify]: Extracting #6: cost 31 inf + 30269 446.160 * * [simplify]: Extracting #7: cost 4 inf + 49899 446.168 * * [simplify]: Extracting #8: cost 0 inf + 53281 446.182 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 446.183 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 446.183 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 446.183 * * [simplify]: iters left: 6 (15 enodes) 446.192 * * [simplify]: iters left: 5 (65 enodes) 446.211 * * [simplify]: iters left: 4 (105 enodes) 446.229 * * [simplify]: iters left: 3 (177 enodes) 446.283 * * [simplify]: iters left: 2 (337 enodes) 446.378 * * [simplify]: Extracting #0: cost 1 inf + 0 446.378 * * [simplify]: Extracting #1: cost 50 inf + 0 446.379 * * [simplify]: Extracting #2: cost 133 inf + 0 446.379 * * [simplify]: Extracting #3: cost 205 inf + 3 446.380 * * [simplify]: Extracting #4: cost 200 inf + 1586 446.383 * * [simplify]: Extracting #5: cost 133 inf + 17670 446.392 * * [simplify]: Extracting #6: cost 39 inf + 70234 446.413 * * [simplify]: Extracting #7: cost 0 inf + 102220 446.439 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 446.440 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 1) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 446.440 * * * * [progress]: [ 557 / 667 ] simplifiying candidate # 446.440 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 446.440 * * [simplify]: iters left: 6 (18 enodes) 446.450 * * [simplify]: iters left: 5 (76 enodes) 446.471 * * [simplify]: iters left: 4 (129 enodes) 446.497 * * [simplify]: iters left: 3 (239 enodes) 446.570 * * [simplify]: Extracting #0: cost 1 inf + 0 446.570 * * [simplify]: Extracting #1: cost 54 inf + 0 446.571 * * [simplify]: Extracting #2: cost 126 inf + 0 446.572 * * [simplify]: Extracting #3: cost 173 inf + 0 446.573 * * [simplify]: Extracting #4: cost 181 inf + 178 446.575 * * [simplify]: Extracting #5: cost 148 inf + 3634 446.585 * * [simplify]: Extracting #6: cost 72 inf + 34343 446.604 * * [simplify]: Extracting #7: cost 17 inf + 72324 446.629 * * [simplify]: Extracting #8: cost 0 inf + 85488 446.654 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 446.654 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 446.655 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 446.655 * * [simplify]: iters left: 6 (17 enodes) 446.664 * * [simplify]: iters left: 5 (71 enodes) 446.688 * * [simplify]: iters left: 4 (119 enodes) 446.730 * * [simplify]: iters left: 3 (205 enodes) 446.806 * * [simplify]: iters left: 2 (425 enodes) 446.971 * * [simplify]: Extracting #0: cost 1 inf + 0 446.972 * * [simplify]: Extracting #1: cost 88 inf + 0 446.972 * * [simplify]: Extracting #2: cost 238 inf + 0 446.973 * * [simplify]: Extracting #3: cost 319 inf + 2 446.975 * * [simplify]: Extracting #4: cost 333 inf + 264 446.977 * * [simplify]: Extracting #5: cost 300 inf + 8979 446.988 * * [simplify]: Extracting #6: cost 129 inf + 85300 447.036 * * [simplify]: Extracting #7: cost 2 inf + 186735 447.094 * * [simplify]: Extracting #8: cost 0 inf + 187949 447.148 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 447.148 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 447.148 * * * * [progress]: [ 558 / 667 ] simplifiying candidate # 447.148 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 447.148 * * [simplify]: iters left: 6 (19 enodes) 447.159 * * [simplify]: iters left: 5 (78 enodes) 447.183 * * [simplify]: iters left: 4 (126 enodes) 447.207 * * [simplify]: iters left: 3 (215 enodes) 447.283 * * [simplify]: iters left: 2 (439 enodes) 447.925 * * [simplify]: Extracting #0: cost 1 inf + 0 447.925 * * [simplify]: Extracting #1: cost 89 inf + 0 447.927 * * [simplify]: Extracting #2: cost 242 inf + 0 447.929 * * [simplify]: Extracting #3: cost 325 inf + 2 447.931 * * [simplify]: Extracting #4: cost 338 inf + 264 447.935 * * [simplify]: Extracting #5: cost 314 inf + 2827 447.942 * * [simplify]: Extracting #6: cost 241 inf + 18199 447.964 * * [simplify]: Extracting #7: cost 85 inf + 126790 447.999 * * [simplify]: Extracting #8: cost 0 inf + 202496 448.040 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 448.040 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 448.040 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 448.041 * * [simplify]: iters left: 6 (18 enodes) 448.046 * * [simplify]: iters left: 5 (74 enodes) 448.069 * * [simplify]: iters left: 4 (122 enodes) 448.109 * * [simplify]: iters left: 3 (211 enodes) 448.181 * * [simplify]: iters left: 2 (432 enodes) 448.339 * * [simplify]: Extracting #0: cost 1 inf + 0 448.339 * * [simplify]: Extracting #1: cost 87 inf + 0 448.340 * * [simplify]: Extracting #2: cost 239 inf + 0 448.341 * * [simplify]: Extracting #3: cost 323 inf + 2 448.342 * * [simplify]: Extracting #4: cost 338 inf + 222 448.344 * * [simplify]: Extracting #5: cost 330 inf + 1368 448.354 * * [simplify]: Extracting #6: cost 255 inf + 23574 448.383 * * [simplify]: Extracting #7: cost 71 inf + 143283 448.415 * * [simplify]: Extracting #8: cost 0 inf + 202184 448.471 * * [simplify]: Extracting #9: cost 0 inf + 201389 448.514 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 448.514 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 448.514 * * * * [progress]: [ 559 / 667 ] simplifiying candidate # 448.515 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 448.515 * * [simplify]: iters left: 6 (20 enodes) 448.520 * * [simplify]: iters left: 5 (81 enodes) 448.537 * * [simplify]: iters left: 4 (129 enodes) 448.564 * * [simplify]: iters left: 3 (216 enodes) 448.616 * * [simplify]: iters left: 2 (432 enodes) 448.736 * * [simplify]: Extracting #0: cost 1 inf + 0 448.736 * * [simplify]: Extracting #1: cost 86 inf + 0 448.737 * * [simplify]: Extracting #2: cost 235 inf + 0 448.738 * * [simplify]: Extracting #3: cost 318 inf + 2 448.739 * * [simplify]: Extracting #4: cost 334 inf + 306 448.741 * * [simplify]: Extracting #5: cost 319 inf + 2349 448.750 * * [simplify]: Extracting #6: cost 218 inf + 38933 448.782 * * [simplify]: Extracting #7: cost 46 inf + 164011 448.839 * * [simplify]: Extracting #8: cost 0 inf + 199382 448.897 * * [simplify]: Extracting #9: cost 0 inf + 198033 448.933 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 448.933 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 448.933 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 448.933 * * [simplify]: iters left: 6 (19 enodes) 448.939 * * [simplify]: iters left: 5 (77 enodes) 448.960 * * [simplify]: iters left: 4 (125 enodes) 449.002 * * [simplify]: iters left: 3 (214 enodes) 449.059 * * [simplify]: iters left: 2 (437 enodes) 449.207 * * [simplify]: Extracting #0: cost 1 inf + 0 449.207 * * [simplify]: Extracting #1: cost 91 inf + 0 449.208 * * [simplify]: Extracting #2: cost 243 inf + 0 449.211 * * [simplify]: Extracting #3: cost 326 inf + 2 449.213 * * [simplify]: Extracting #4: cost 341 inf + 264 449.216 * * [simplify]: Extracting #5: cost 332 inf + 1252 449.222 * * [simplify]: Extracting #6: cost 270 inf + 10988 449.240 * * [simplify]: Extracting #7: cost 147 inf + 83080 449.265 * * [simplify]: Extracting #8: cost 10 inf + 200419 449.294 * * [simplify]: Extracting #9: cost 0 inf + 205232 449.343 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))) 449.343 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))))) 449.343 * * * * [progress]: [ 560 / 667 ] simplifiying candidate # 449.344 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 449.344 * * [simplify]: iters left: 6 (16 enodes) 449.354 * * [simplify]: iters left: 5 (68 enodes) 449.376 * * [simplify]: iters left: 4 (108 enodes) 449.412 * * [simplify]: iters left: 3 (180 enodes) 449.477 * * [simplify]: iters left: 2 (343 enodes) 449.591 * * [simplify]: Extracting #0: cost 1 inf + 0 449.591 * * [simplify]: Extracting #1: cost 50 inf + 0 449.591 * * [simplify]: Extracting #2: cost 133 inf + 0 449.592 * * [simplify]: Extracting #3: cost 209 inf + 2 449.593 * * [simplify]: Extracting #4: cost 193 inf + 6437 449.602 * * [simplify]: Extracting #5: cost 64 inf + 72483 449.620 * * [simplify]: Extracting #6: cost 1 inf + 107774 449.637 * * [simplify]: Extracting #7: cost 0 inf + 103014 449.654 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 449.654 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 449.654 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 449.655 * * [simplify]: iters left: 6 (16 enodes) 449.667 * * [simplify]: iters left: 5 (68 enodes) 449.690 * * [simplify]: iters left: 4 (108 enodes) 449.725 * * [simplify]: iters left: 3 (180 enodes) 449.762 * * [simplify]: iters left: 2 (343 enodes) 449.836 * * [simplify]: Extracting #0: cost 1 inf + 0 449.837 * * [simplify]: Extracting #1: cost 50 inf + 0 449.837 * * [simplify]: Extracting #2: cost 133 inf + 0 449.837 * * [simplify]: Extracting #3: cost 209 inf + 2 449.839 * * [simplify]: Extracting #4: cost 193 inf + 6437 449.858 * * [simplify]: Extracting #5: cost 64 inf + 72483 449.882 * * [simplify]: Extracting #6: cost 1 inf + 107774 449.899 * * [simplify]: Extracting #7: cost 0 inf + 103014 449.916 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 449.916 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 449.916 * * * * [progress]: [ 561 / 667 ] simplifiying candidate # 449.917 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 449.917 * * [simplify]: iters left: 6 (18 enodes) 449.924 * * [simplify]: iters left: 5 (74 enodes) 449.936 * * [simplify]: iters left: 4 (117 enodes) 449.975 * * [simplify]: iters left: 3 (201 enodes) 450.037 * * [simplify]: iters left: 2 (415 enodes) 450.225 * * [simplify]: Extracting #0: cost 1 inf + 0 450.225 * * [simplify]: Extracting #1: cost 68 inf + 0 450.226 * * [simplify]: Extracting #2: cost 163 inf + 1 450.228 * * [simplify]: Extracting #3: cost 222 inf + 3 450.230 * * [simplify]: Extracting #4: cost 239 inf + 139 450.233 * * [simplify]: Extracting #5: cost 224 inf + 1794 450.246 * * [simplify]: Extracting #6: cost 127 inf + 29607 450.263 * * [simplify]: Extracting #7: cost 19 inf + 106143 450.288 * * [simplify]: Extracting #8: cost 0 inf + 120677 450.330 * * [simplify]: Extracting #9: cost 0 inf + 120545 450.371 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) 450.371 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 450.371 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 450.371 * * [simplify]: iters left: 6 (16 enodes) 450.380 * * [simplify]: iters left: 5 (68 enodes) 450.406 * * [simplify]: iters left: 4 (116 enodes) 450.444 * * [simplify]: iters left: 3 (205 enodes) 450.520 * * [simplify]: iters left: 2 (426 enodes) 450.698 * * [simplify]: Extracting #0: cost 1 inf + 0 450.698 * * [simplify]: Extracting #1: cost 86 inf + 0 450.699 * * [simplify]: Extracting #2: cost 236 inf + 0 450.700 * * [simplify]: Extracting #3: cost 317 inf + 2 450.701 * * [simplify]: Extracting #4: cost 316 inf + 1620 450.705 * * [simplify]: Extracting #5: cost 240 inf + 21946 450.722 * * [simplify]: Extracting #6: cost 60 inf + 142560 450.764 * * [simplify]: Extracting #7: cost 0 inf + 195011 450.792 * * [simplify]: Extracting #8: cost 0 inf + 192290 450.820 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 450.820 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 450.820 * * * * [progress]: [ 562 / 667 ] simplifiying candidate # 450.820 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 450.821 * * [simplify]: iters left: 6 (16 enodes) 450.826 * * [simplify]: iters left: 5 (68 enodes) 450.840 * * [simplify]: iters left: 4 (108 enodes) 450.859 * * [simplify]: iters left: 3 (180 enodes) 450.913 * * [simplify]: iters left: 2 (343 enodes) 451.021 * * [simplify]: Extracting #0: cost 1 inf + 0 451.021 * * [simplify]: Extracting #1: cost 50 inf + 0 451.021 * * [simplify]: Extracting #2: cost 133 inf + 0 451.023 * * [simplify]: Extracting #3: cost 209 inf + 2 451.025 * * [simplify]: Extracting #4: cost 193 inf + 6437 451.035 * * [simplify]: Extracting #5: cost 64 inf + 72483 451.062 * * [simplify]: Extracting #6: cost 1 inf + 107774 451.096 * * [simplify]: Extracting #7: cost 0 inf + 103014 451.130 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 451.130 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 451.130 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 451.130 * * [simplify]: iters left: 6 (16 enodes) 451.140 * * [simplify]: iters left: 5 (68 enodes) 451.162 * * [simplify]: iters left: 4 (108 enodes) 451.196 * * [simplify]: iters left: 3 (180 enodes) 451.263 * * [simplify]: iters left: 2 (343 enodes) 451.374 * * [simplify]: Extracting #0: cost 1 inf + 0 451.375 * * [simplify]: Extracting #1: cost 50 inf + 0 451.375 * * [simplify]: Extracting #2: cost 133 inf + 0 451.376 * * [simplify]: Extracting #3: cost 209 inf + 2 451.379 * * [simplify]: Extracting #4: cost 193 inf + 6437 451.397 * * [simplify]: Extracting #5: cost 64 inf + 72483 451.434 * * [simplify]: Extracting #6: cost 1 inf + 107774 451.474 * * [simplify]: Extracting #7: cost 0 inf + 103014 451.507 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 451.507 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 451.507 * * * * [progress]: [ 563 / 667 ] simplifiying candidate # 451.508 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 451.508 * * [simplify]: iters left: 6 (17 enodes) 451.518 * * [simplify]: iters left: 5 (71 enodes) 451.540 * * [simplify]: iters left: 4 (114 enodes) 451.578 * * [simplify]: iters left: 3 (193 enodes) 451.653 * * [simplify]: iters left: 2 (393 enodes) 451.862 * * [simplify]: Extracting #0: cost 1 inf + 0 451.862 * * [simplify]: Extracting #1: cost 68 inf + 0 451.863 * * [simplify]: Extracting #2: cost 168 inf + 1 451.865 * * [simplify]: Extracting #3: cost 223 inf + 3 451.867 * * [simplify]: Extracting #4: cost 238 inf + 181 451.870 * * [simplify]: Extracting #5: cost 229 inf + 1222 451.876 * * [simplify]: Extracting #6: cost 155 inf + 14856 451.900 * * [simplify]: Extracting #7: cost 43 inf + 90105 451.941 * * [simplify]: Extracting #8: cost 0 inf + 124372 451.987 * * [simplify]: Extracting #9: cost 0 inf + 124160 452.010 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) 452.010 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 452.010 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 452.011 * * [simplify]: iters left: 6 (16 enodes) 452.015 * * [simplify]: iters left: 5 (68 enodes) 452.029 * * [simplify]: iters left: 4 (116 enodes) 452.068 * * [simplify]: iters left: 3 (205 enodes) 452.124 * * [simplify]: iters left: 2 (426 enodes) 452.297 * * [simplify]: Extracting #0: cost 1 inf + 0 452.298 * * [simplify]: Extracting #1: cost 86 inf + 0 452.299 * * [simplify]: Extracting #2: cost 236 inf + 0 452.301 * * [simplify]: Extracting #3: cost 317 inf + 2 452.304 * * [simplify]: Extracting #4: cost 316 inf + 1620 452.316 * * [simplify]: Extracting #5: cost 240 inf + 21946 452.349 * * [simplify]: Extracting #6: cost 60 inf + 142560 452.382 * * [simplify]: Extracting #7: cost 0 inf + 195011 452.430 * * [simplify]: Extracting #8: cost 0 inf + 192290 452.459 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 452.459 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 452.459 * * * * [progress]: [ 564 / 667 ] simplifiying candidate # 452.460 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 452.460 * * [simplify]: iters left: 6 (16 enodes) 452.465 * * [simplify]: iters left: 5 (68 enodes) 452.485 * * [simplify]: iters left: 4 (108 enodes) 452.522 * * [simplify]: iters left: 3 (180 enodes) 452.570 * * [simplify]: iters left: 2 (343 enodes) 452.677 * * [simplify]: Extracting #0: cost 1 inf + 0 452.677 * * [simplify]: Extracting #1: cost 50 inf + 0 452.678 * * [simplify]: Extracting #2: cost 133 inf + 0 452.679 * * [simplify]: Extracting #3: cost 209 inf + 2 452.681 * * [simplify]: Extracting #4: cost 193 inf + 6437 452.699 * * [simplify]: Extracting #5: cost 64 inf + 72483 452.735 * * [simplify]: Extracting #6: cost 1 inf + 107774 452.769 * * [simplify]: Extracting #7: cost 0 inf + 103014 452.802 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 452.802 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 452.803 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 452.803 * * [simplify]: iters left: 6 (16 enodes) 452.812 * * [simplify]: iters left: 5 (68 enodes) 452.837 * * [simplify]: iters left: 4 (108 enodes) 452.873 * * [simplify]: iters left: 3 (180 enodes) 452.912 * * [simplify]: iters left: 2 (343 enodes) 453.016 * * [simplify]: Extracting #0: cost 1 inf + 0 453.016 * * [simplify]: Extracting #1: cost 50 inf + 0 453.017 * * [simplify]: Extracting #2: cost 133 inf + 0 453.018 * * [simplify]: Extracting #3: cost 209 inf + 2 453.021 * * [simplify]: Extracting #4: cost 193 inf + 6437 453.039 * * [simplify]: Extracting #5: cost 64 inf + 72483 453.079 * * [simplify]: Extracting #6: cost 1 inf + 107774 453.112 * * [simplify]: Extracting #7: cost 0 inf + 103014 453.132 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 453.132 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 453.132 * * * * [progress]: [ 565 / 667 ] simplifiying candidate # 453.132 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 1) 453.132 * * [simplify]: iters left: 6 (16 enodes) 453.137 * * [simplify]: iters left: 5 (66 enodes) 453.149 * * [simplify]: iters left: 4 (110 enodes) 453.169 * * [simplify]: iters left: 3 (196 enodes) 453.238 * * [simplify]: iters left: 2 (429 enodes) 453.475 * * [simplify]: Extracting #0: cost 1 inf + 0 453.475 * * [simplify]: Extracting #1: cost 64 inf + 0 453.476 * * [simplify]: Extracting #2: cost 160 inf + 1 453.477 * * [simplify]: Extracting #3: cost 219 inf + 3 453.478 * * [simplify]: Extracting #4: cost 232 inf + 181 453.480 * * [simplify]: Extracting #5: cost 199 inf + 6670 453.492 * * [simplify]: Extracting #6: cost 83 inf + 54767 453.534 * * [simplify]: Extracting #7: cost 7 inf + 108485 453.559 * * [simplify]: Extracting #8: cost 0 inf + 112722 453.590 * * [simplify]: Extracting #9: cost 0 inf + 112403 453.619 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) 453.619 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 453.620 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 453.620 * * [simplify]: iters left: 6 (16 enodes) 453.628 * * [simplify]: iters left: 5 (68 enodes) 453.639 * * [simplify]: iters left: 4 (116 enodes) 453.663 * * [simplify]: iters left: 3 (205 enodes) 453.715 * * [simplify]: iters left: 2 (426 enodes) 453.864 * * [simplify]: Extracting #0: cost 1 inf + 0 453.865 * * [simplify]: Extracting #1: cost 86 inf + 0 453.865 * * [simplify]: Extracting #2: cost 236 inf + 0 453.867 * * [simplify]: Extracting #3: cost 317 inf + 2 453.868 * * [simplify]: Extracting #4: cost 316 inf + 1620 453.872 * * [simplify]: Extracting #5: cost 240 inf + 21946 453.898 * * [simplify]: Extracting #6: cost 60 inf + 142560 453.927 * * [simplify]: Extracting #7: cost 0 inf + 195011 453.962 * * [simplify]: Extracting #8: cost 0 inf + 192290 454.003 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 454.003 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 454.003 * * * * [progress]: [ 566 / 667 ] simplifiying candidate # 454.004 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 454.004 * * [simplify]: iters left: 6 (17 enodes) 454.014 * * [simplify]: iters left: 5 (71 enodes) 454.036 * * [simplify]: iters left: 4 (124 enodes) 454.080 * * [simplify]: iters left: 3 (249 enodes) 454.171 * * [simplify]: Extracting #0: cost 1 inf + 0 454.171 * * [simplify]: Extracting #1: cost 37 inf + 0 454.172 * * [simplify]: Extracting #2: cost 100 inf + 1 454.173 * * [simplify]: Extracting #3: cost 141 inf + 2 454.174 * * [simplify]: Extracting #4: cost 148 inf + 261 454.175 * * [simplify]: Extracting #5: cost 141 inf + 722 454.178 * * [simplify]: Extracting #6: cost 92 inf + 8888 454.189 * * [simplify]: Extracting #7: cost 28 inf + 40334 454.208 * * [simplify]: Extracting #8: cost 0 inf + 59357 454.228 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 454.228 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 454.229 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 454.229 * * [simplify]: iters left: 6 (16 enodes) 454.238 * * [simplify]: iters left: 5 (68 enodes) 454.264 * * [simplify]: iters left: 4 (116 enodes) 454.300 * * [simplify]: iters left: 3 (205 enodes) 454.353 * * [simplify]: iters left: 2 (426 enodes) 454.483 * * [simplify]: Extracting #0: cost 1 inf + 0 454.483 * * [simplify]: Extracting #1: cost 88 inf + 0 454.484 * * [simplify]: Extracting #2: cost 239 inf + 0 454.485 * * [simplify]: Extracting #3: cost 320 inf + 2 454.486 * * [simplify]: Extracting #4: cost 320 inf + 1750 454.499 * * [simplify]: Extracting #5: cost 204 inf + 52698 454.538 * * [simplify]: Extracting #6: cost 35 inf + 169998 454.567 * * [simplify]: Extracting #7: cost 1 inf + 194706 454.607 * * [simplify]: Extracting #8: cost 0 inf + 193357 454.637 * * [simplify]: Extracting #9: cost 0 inf + 193226 454.665 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 454.665 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 454.665 * * * * [progress]: [ 567 / 667 ] simplifiying candidate # 454.665 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 454.665 * * [simplify]: iters left: 6 (17 enodes) 454.670 * * [simplify]: iters left: 5 (70 enodes) 454.682 * * [simplify]: iters left: 4 (115 enodes) 454.713 * * [simplify]: iters left: 3 (204 enodes) 454.762 * * [simplify]: iters left: 2 (433 enodes) 455.007 * * [simplify]: Extracting #0: cost 1 inf + 0 455.007 * * [simplify]: Extracting #1: cost 64 inf + 0 455.009 * * [simplify]: Extracting #2: cost 212 inf + 1 455.010 * * [simplify]: Extracting #3: cost 270 inf + 3 455.013 * * [simplify]: Extracting #4: cost 284 inf + 264 455.016 * * [simplify]: Extracting #5: cost 260 inf + 3273 455.037 * * [simplify]: Extracting #6: cost 120 inf + 68176 455.059 * * [simplify]: Extracting #7: cost 10 inf + 149201 455.085 * * [simplify]: Extracting #8: cost 0 inf + 155855 455.114 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) 455.114 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 455.114 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 455.114 * * [simplify]: iters left: 6 (17 enodes) 455.119 * * [simplify]: iters left: 5 (71 enodes) 455.141 * * [simplify]: iters left: 4 (119 enodes) 455.161 * * [simplify]: iters left: 3 (205 enodes) 455.228 * * [simplify]: iters left: 2 (425 enodes) 455.384 * * [simplify]: Extracting #0: cost 1 inf + 0 455.385 * * [simplify]: Extracting #1: cost 88 inf + 0 455.385 * * [simplify]: Extracting #2: cost 239 inf + 0 455.386 * * [simplify]: Extracting #3: cost 321 inf + 2 455.388 * * [simplify]: Extracting #4: cost 312 inf + 4525 455.394 * * [simplify]: Extracting #5: cost 220 inf + 38131 455.424 * * [simplify]: Extracting #6: cost 96 inf + 112067 455.459 * * [simplify]: Extracting #7: cost 5 inf + 186347 455.502 * * [simplify]: Extracting #8: cost 0 inf + 191304 455.556 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 455.557 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 455.557 * * * * [progress]: [ 568 / 667 ] simplifiying candidate # 455.557 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 455.557 * * [simplify]: iters left: 6 (17 enodes) 455.563 * * [simplify]: iters left: 5 (70 enodes) 455.575 * * [simplify]: iters left: 4 (115 enodes) 455.604 * * [simplify]: iters left: 3 (204 enodes) 455.659 * * [simplify]: iters left: 2 (433 enodes) 455.883 * * [simplify]: Extracting #0: cost 1 inf + 0 455.883 * * [simplify]: Extracting #1: cost 64 inf + 0 455.885 * * [simplify]: Extracting #2: cost 211 inf + 1 455.886 * * [simplify]: Extracting #3: cost 269 inf + 3 455.889 * * [simplify]: Extracting #4: cost 284 inf + 264 455.892 * * [simplify]: Extracting #5: cost 260 inf + 3233 455.904 * * [simplify]: Extracting #6: cost 119 inf + 68701 455.925 * * [simplify]: Extracting #7: cost 10 inf + 148928 455.974 * * [simplify]: Extracting #8: cost 0 inf + 155855 456.024 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (fabs (cbrt k)))) 456.024 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 456.025 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 456.025 * * [simplify]: iters left: 6 (18 enodes) 456.035 * * [simplify]: iters left: 5 (74 enodes) 456.059 * * [simplify]: iters left: 4 (122 enodes) 456.098 * * [simplify]: iters left: 3 (211 enodes) 456.150 * * [simplify]: iters left: 2 (432 enodes) 456.297 * * [simplify]: Extracting #0: cost 1 inf + 0 456.297 * * [simplify]: Extracting #1: cost 88 inf + 0 456.298 * * [simplify]: Extracting #2: cost 240 inf + 0 456.300 * * [simplify]: Extracting #3: cost 325 inf + 2 456.304 * * [simplify]: Extracting #4: cost 300 inf + 9637 456.319 * * [simplify]: Extracting #5: cost 177 inf + 66083 456.360 * * [simplify]: Extracting #6: cost 30 inf + 171005 456.388 * * [simplify]: Extracting #7: cost 0 inf + 197979 456.443 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 456.444 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 456.444 * * * * [progress]: [ 569 / 667 ] simplifiying candidate # 456.444 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt (sqrt k)))) 456.444 * * [simplify]: iters left: 6 (16 enodes) 456.454 * * [simplify]: iters left: 5 (66 enodes) 456.467 * * [simplify]: iters left: 4 (111 enodes) 456.488 * * [simplify]: iters left: 3 (203 enodes) 456.545 * * [simplify]: iters left: 2 (423 enodes) 456.734 * * [simplify]: Extracting #0: cost 1 inf + 0 456.735 * * [simplify]: Extracting #1: cost 65 inf + 0 456.736 * * [simplify]: Extracting #2: cost 197 inf + 1 456.738 * * [simplify]: Extracting #3: cost 253 inf + 3 456.741 * * [simplify]: Extracting #4: cost 266 inf + 181 456.744 * * [simplify]: Extracting #5: cost 251 inf + 2006 456.752 * * [simplify]: Extracting #6: cost 163 inf + 27319 456.787 * * [simplify]: Extracting #7: cost 51 inf + 101054 456.835 * * [simplify]: Extracting #8: cost 0 inf + 141645 456.874 * * [simplify]: Extracting #9: cost 0 inf + 140922 456.907 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) 456.907 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 456.908 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 456.908 * * [simplify]: iters left: 6 (16 enodes) 456.917 * * [simplify]: iters left: 5 (68 enodes) 456.932 * * [simplify]: iters left: 4 (116 enodes) 456.955 * * [simplify]: iters left: 3 (205 enodes) 457.022 * * [simplify]: iters left: 2 (426 enodes) 457.157 * * [simplify]: Extracting #0: cost 1 inf + 0 457.157 * * [simplify]: Extracting #1: cost 88 inf + 0 457.158 * * [simplify]: Extracting #2: cost 239 inf + 0 457.159 * * [simplify]: Extracting #3: cost 320 inf + 2 457.160 * * [simplify]: Extracting #4: cost 320 inf + 1710 457.167 * * [simplify]: Extracting #5: cost 204 inf + 51298 457.201 * * [simplify]: Extracting #6: cost 35 inf + 165838 457.252 * * [simplify]: Extracting #7: cost 1 inf + 189706 457.281 * * [simplify]: Extracting #8: cost 0 inf + 188317 457.333 * * [simplify]: Extracting #9: cost 0 inf + 188186 457.388 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 457.388 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 457.388 * * * * [progress]: [ 570 / 667 ] simplifiying candidate # 457.388 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt 1))) 457.389 * * [simplify]: iters left: 6 (15 enodes) 457.401 * * [simplify]: iters left: 5 (63 enodes) 457.419 * * [simplify]: iters left: 4 (101 enodes) 457.449 * * [simplify]: iters left: 3 (162 enodes) 457.482 * * [simplify]: iters left: 2 (297 enodes) 457.569 * * [simplify]: Extracting #0: cost 1 inf + 0 457.570 * * [simplify]: Extracting #1: cost 30 inf + 0 457.570 * * [simplify]: Extracting #2: cost 97 inf + 2 457.570 * * [simplify]: Extracting #3: cost 143 inf + 218 457.571 * * [simplify]: Extracting #4: cost 142 inf + 682 457.573 * * [simplify]: Extracting #5: cost 91 inf + 5732 457.577 * * [simplify]: Extracting #6: cost 51 inf + 16739 457.592 * * [simplify]: Extracting #7: cost 1 inf + 51739 457.607 * * [simplify]: Extracting #8: cost 0 inf + 51899 457.622 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 457.622 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 457.622 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 457.623 * * [simplify]: iters left: 6 (15 enodes) 457.631 * * [simplify]: iters left: 5 (65 enodes) 457.652 * * [simplify]: iters left: 4 (105 enodes) 457.676 * * [simplify]: iters left: 3 (177 enodes) 457.722 * * [simplify]: iters left: 2 (337 enodes) 457.860 * * [simplify]: Extracting #0: cost 1 inf + 0 457.860 * * [simplify]: Extracting #1: cost 50 inf + 0 457.861 * * [simplify]: Extracting #2: cost 133 inf + 0 457.861 * * [simplify]: Extracting #3: cost 205 inf + 3 457.863 * * [simplify]: Extracting #4: cost 200 inf + 1586 457.865 * * [simplify]: Extracting #5: cost 133 inf + 17670 457.874 * * [simplify]: Extracting #6: cost 39 inf + 70234 457.888 * * [simplify]: Extracting #7: cost 0 inf + 102220 457.902 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 457.902 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 457.902 * * * * [progress]: [ 571 / 667 ] simplifiying candidate # 457.902 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt (sqrt k)))) 457.902 * * [simplify]: iters left: 6 (16 enodes) 457.908 * * [simplify]: iters left: 5 (66 enodes) 457.921 * * [simplify]: iters left: 4 (111 enodes) 457.945 * * [simplify]: iters left: 3 (203 enodes) 457.987 * * [simplify]: iters left: 2 (423 enodes) 458.212 * * [simplify]: Extracting #0: cost 1 inf + 0 458.213 * * [simplify]: Extracting #1: cost 65 inf + 0 458.214 * * [simplify]: Extracting #2: cost 197 inf + 1 458.216 * * [simplify]: Extracting #3: cost 253 inf + 3 458.218 * * [simplify]: Extracting #4: cost 266 inf + 181 458.221 * * [simplify]: Extracting #5: cost 251 inf + 2006 458.230 * * [simplify]: Extracting #6: cost 163 inf + 27319 458.261 * * [simplify]: Extracting #7: cost 51 inf + 101054 458.295 * * [simplify]: Extracting #8: cost 0 inf + 141645 458.331 * * [simplify]: Extracting #9: cost 0 inf + 140922 458.363 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) 458.364 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 458.364 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 458.364 * * [simplify]: iters left: 6 (16 enodes) 458.369 * * [simplify]: iters left: 5 (68 enodes) 458.381 * * [simplify]: iters left: 4 (116 enodes) 458.406 * * [simplify]: iters left: 3 (205 enodes) 458.461 * * [simplify]: iters left: 2 (426 enodes) 458.578 * * [simplify]: Extracting #0: cost 1 inf + 0 458.578 * * [simplify]: Extracting #1: cost 88 inf + 0 458.583 * * [simplify]: Extracting #2: cost 239 inf + 0 458.584 * * [simplify]: Extracting #3: cost 320 inf + 2 458.585 * * [simplify]: Extracting #4: cost 320 inf + 1710 458.593 * * [simplify]: Extracting #5: cost 204 inf + 51298 458.635 * * [simplify]: Extracting #6: cost 35 inf + 165838 458.679 * * [simplify]: Extracting #7: cost 1 inf + 189706 458.707 * * [simplify]: Extracting #8: cost 0 inf + 188317 458.742 * * [simplify]: Extracting #9: cost 0 inf + 188186 458.795 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 458.795 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 458.795 * * * * [progress]: [ 572 / 667 ] simplifiying candidate # 458.795 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt 1)) 458.795 * * [simplify]: iters left: 6 (14 enodes) 458.805 * * [simplify]: iters left: 5 (60 enodes) 458.824 * * [simplify]: iters left: 4 (98 enodes) 458.857 * * [simplify]: iters left: 3 (157 enodes) 458.911 * * [simplify]: iters left: 2 (291 enodes) 459.019 * * [simplify]: Extracting #0: cost 1 inf + 0 459.019 * * [simplify]: Extracting #1: cost 33 inf + 0 459.020 * * [simplify]: Extracting #2: cost 99 inf + 2 459.020 * * [simplify]: Extracting #3: cost 142 inf + 218 459.021 * * [simplify]: Extracting #4: cost 140 inf + 641 459.023 * * [simplify]: Extracting #5: cost 92 inf + 5900 459.027 * * [simplify]: Extracting #6: cost 39 inf + 23676 459.034 * * [simplify]: Extracting #7: cost 6 inf + 46362 459.041 * * [simplify]: Extracting #8: cost 0 inf + 51452 459.049 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 459.049 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 459.050 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 459.050 * * [simplify]: iters left: 6 (15 enodes) 459.055 * * [simplify]: iters left: 5 (65 enodes) 459.072 * * [simplify]: iters left: 4 (105 enodes) 459.112 * * [simplify]: iters left: 3 (177 enodes) 459.175 * * [simplify]: iters left: 2 (337 enodes) 459.273 * * [simplify]: Extracting #0: cost 1 inf + 0 459.273 * * [simplify]: Extracting #1: cost 50 inf + 0 459.273 * * [simplify]: Extracting #2: cost 133 inf + 0 459.274 * * [simplify]: Extracting #3: cost 205 inf + 3 459.275 * * [simplify]: Extracting #4: cost 200 inf + 1586 459.278 * * [simplify]: Extracting #5: cost 133 inf + 17670 459.290 * * [simplify]: Extracting #6: cost 39 inf + 70234 459.322 * * [simplify]: Extracting #7: cost 0 inf + 102220 459.338 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 459.338 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt 1)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 459.338 * * * * [progress]: [ 573 / 667 ] simplifiying candidate # 459.338 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt (sqrt k)))) 459.339 * * [simplify]: iters left: 6 (16 enodes) 459.343 * * [simplify]: iters left: 5 (66 enodes) 459.355 * * [simplify]: iters left: 4 (111 enodes) 459.393 * * [simplify]: iters left: 3 (203 enodes) 459.452 * * [simplify]: iters left: 2 (423 enodes) 459.674 * * [simplify]: Extracting #0: cost 1 inf + 0 459.674 * * [simplify]: Extracting #1: cost 65 inf + 0 459.675 * * [simplify]: Extracting #2: cost 197 inf + 1 459.677 * * [simplify]: Extracting #3: cost 253 inf + 3 459.680 * * [simplify]: Extracting #4: cost 266 inf + 181 459.683 * * [simplify]: Extracting #5: cost 251 inf + 2006 459.690 * * [simplify]: Extracting #6: cost 163 inf + 27319 459.726 * * [simplify]: Extracting #7: cost 51 inf + 101054 459.754 * * [simplify]: Extracting #8: cost 0 inf + 141645 459.791 * * [simplify]: Extracting #9: cost 0 inf + 140922 459.840 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) 459.840 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 459.840 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 459.840 * * [simplify]: iters left: 6 (16 enodes) 459.849 * * [simplify]: iters left: 5 (68 enodes) 459.874 * * [simplify]: iters left: 4 (116 enodes) 459.914 * * [simplify]: iters left: 3 (205 enodes) 459.988 * * [simplify]: iters left: 2 (426 enodes) 460.136 * * [simplify]: Extracting #0: cost 1 inf + 0 460.136 * * [simplify]: Extracting #1: cost 88 inf + 0 460.137 * * [simplify]: Extracting #2: cost 239 inf + 0 460.138 * * [simplify]: Extracting #3: cost 320 inf + 2 460.139 * * [simplify]: Extracting #4: cost 320 inf + 1710 460.145 * * [simplify]: Extracting #5: cost 204 inf + 51298 460.167 * * [simplify]: Extracting #6: cost 35 inf + 165838 460.213 * * [simplify]: Extracting #7: cost 1 inf + 189706 460.265 * * [simplify]: Extracting #8: cost 0 inf + 188317 460.319 * * [simplify]: Extracting #9: cost 0 inf + 188186 460.356 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 460.356 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 460.356 * * * * [progress]: [ 574 / 667 ] simplifiying candidate # 460.357 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 1) 460.357 * * [simplify]: iters left: 6 (13 enodes) 460.361 * * [simplify]: iters left: 5 (53 enodes) 460.374 * * [simplify]: iters left: 4 (93 enodes) 460.405 * * [simplify]: iters left: 3 (157 enodes) 460.460 * * [simplify]: iters left: 2 (301 enodes) 460.576 * * [simplify]: Extracting #0: cost 1 inf + 0 460.576 * * [simplify]: Extracting #1: cost 30 inf + 0 460.576 * * [simplify]: Extracting #2: cost 97 inf + 2 460.577 * * [simplify]: Extracting #3: cost 142 inf + 218 460.578 * * [simplify]: Extracting #4: cost 136 inf + 890 460.579 * * [simplify]: Extracting #5: cost 82 inf + 6428 460.583 * * [simplify]: Extracting #6: cost 43 inf + 20108 460.589 * * [simplify]: Extracting #7: cost 4 inf + 47684 460.600 * * [simplify]: Extracting #8: cost 0 inf + 50699 460.616 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 460.616 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 460.617 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 460.617 * * [simplify]: iters left: 6 (15 enodes) 460.626 * * [simplify]: iters left: 5 (65 enodes) 460.648 * * [simplify]: iters left: 4 (105 enodes) 460.682 * * [simplify]: iters left: 3 (177 enodes) 460.737 * * [simplify]: iters left: 2 (337 enodes) 460.861 * * [simplify]: Extracting #0: cost 1 inf + 0 460.861 * * [simplify]: Extracting #1: cost 50 inf + 0 460.862 * * [simplify]: Extracting #2: cost 133 inf + 0 460.863 * * [simplify]: Extracting #3: cost 205 inf + 3 460.865 * * [simplify]: Extracting #4: cost 200 inf + 1586 460.871 * * [simplify]: Extracting #5: cost 133 inf + 17670 460.888 * * [simplify]: Extracting #6: cost 39 inf + 70234 460.914 * * [simplify]: Extracting #7: cost 0 inf + 102220 460.930 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 460.931 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 1) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 460.931 * * * * [progress]: [ 575 / 667 ] simplifiying candidate # 460.931 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 460.931 * * [simplify]: iters left: 6 (7 enodes) 460.933 * * [simplify]: iters left: 5 (25 enodes) 460.938 * * [simplify]: iters left: 4 (29 enodes) 460.942 * * [simplify]: Extracting #0: cost 1 inf + 0 460.942 * * [simplify]: Extracting #1: cost 6 inf + 0 460.942 * * [simplify]: Extracting #2: cost 9 inf + 1 460.942 * * [simplify]: Extracting #3: cost 11 inf + 1 460.942 * * [simplify]: Extracting #4: cost 13 inf + 1 460.942 * * [simplify]: Extracting #5: cost 12 inf + 2 460.942 * * [simplify]: Extracting #6: cost 8 inf + 246 460.942 * * [simplify]: Extracting #7: cost 5 inf + 810 460.942 * * [simplify]: Extracting #8: cost 1 inf + 1616 460.943 * * [simplify]: Extracting #9: cost 0 inf + 1858 460.943 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 460.943 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 460.943 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 460.943 * * [simplify]: iters left: 6 (15 enodes) 460.947 * * [simplify]: iters left: 5 (62 enodes) 460.961 * * [simplify]: iters left: 4 (107 enodes) 460.994 * * [simplify]: iters left: 3 (177 enodes) 461.030 * * [simplify]: iters left: 2 (355 enodes) 461.180 * * [simplify]: Extracting #0: cost 1 inf + 0 461.181 * * [simplify]: Extracting #1: cost 88 inf + 0 461.182 * * [simplify]: Extracting #2: cost 238 inf + 0 461.184 * * [simplify]: Extracting #3: cost 310 inf + 2 461.187 * * [simplify]: Extracting #4: cost 299 inf + 3879 461.194 * * [simplify]: Extracting #5: cost 243 inf + 16625 461.221 * * [simplify]: Extracting #6: cost 81 inf + 126694 461.270 * * [simplify]: Extracting #7: cost 1 inf + 190486 461.320 * * [simplify]: Extracting #8: cost 0 inf + 189370 461.347 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 461.348 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 461.348 * * * * [progress]: [ 576 / 667 ] simplifiying candidate # 461.348 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 461.348 * * [simplify]: iters left: 6 (7 enodes) 461.350 * * [simplify]: iters left: 5 (24 enodes) 461.357 * * [simplify]: iters left: 4 (26 enodes) 461.364 * * [simplify]: Extracting #0: cost 1 inf + 0 461.364 * * [simplify]: Extracting #1: cost 4 inf + 0 461.364 * * [simplify]: Extracting #2: cost 6 inf + 1 461.364 * * [simplify]: Extracting #3: cost 9 inf + 1 461.364 * * [simplify]: Extracting #4: cost 11 inf + 1 461.365 * * [simplify]: Extracting #5: cost 8 inf + 84 461.365 * * [simplify]: Extracting #6: cost 2 inf + 1052 461.365 * * [simplify]: Extracting #7: cost 0 inf + 1374 461.365 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 461.365 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 461.366 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 461.366 * * [simplify]: iters left: 6 (16 enodes) 461.374 * * [simplify]: iters left: 5 (65 enodes) 461.395 * * [simplify]: iters left: 4 (110 enodes) 461.429 * * [simplify]: iters left: 3 (184 enodes) 461.473 * * [simplify]: iters left: 2 (367 enodes) 461.615 * * [simplify]: Extracting #0: cost 1 inf + 0 461.616 * * [simplify]: Extracting #1: cost 86 inf + 0 461.617 * * [simplify]: Extracting #2: cost 239 inf + 0 461.620 * * [simplify]: Extracting #3: cost 312 inf + 2 461.623 * * [simplify]: Extracting #4: cost 291 inf + 6114 461.637 * * [simplify]: Extracting #5: cost 176 inf + 59226 461.674 * * [simplify]: Extracting #6: cost 71 inf + 131998 461.723 * * [simplify]: Extracting #7: cost 4 inf + 186864 461.748 * * [simplify]: Extracting #8: cost 0 inf + 190571 461.793 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 461.793 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 461.793 * * * * [progress]: [ 577 / 667 ] simplifiying candidate # 461.794 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) 461.794 * * [simplify]: iters left: 6 (7 enodes) 461.797 * * [simplify]: iters left: 5 (24 enodes) 461.805 * * [simplify]: iters left: 4 (26 enodes) 461.815 * * [simplify]: Extracting #0: cost 1 inf + 0 461.816 * * [simplify]: Extracting #1: cost 4 inf + 0 461.816 * * [simplify]: Extracting #2: cost 5 inf + 1 461.816 * * [simplify]: Extracting #3: cost 8 inf + 1 461.816 * * [simplify]: Extracting #4: cost 11 inf + 1 461.816 * * [simplify]: Extracting #5: cost 8 inf + 164 461.816 * * [simplify]: Extracting #6: cost 2 inf + 1092 461.817 * * [simplify]: Extracting #7: cost 0 inf + 1374 461.817 * [simplify]: Simplified to (/ 1 (sqrt (fabs (cbrt k)))) 461.817 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 461.817 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 461.818 * * [simplify]: iters left: 6 (17 enodes) 461.826 * * [simplify]: iters left: 5 (68 enodes) 461.849 * * [simplify]: iters left: 4 (113 enodes) 461.884 * * [simplify]: iters left: 3 (186 enodes) 461.936 * * [simplify]: iters left: 2 (369 enodes) 462.048 * * [simplify]: Extracting #0: cost 1 inf + 0 462.048 * * [simplify]: Extracting #1: cost 88 inf + 0 462.049 * * [simplify]: Extracting #2: cost 240 inf + 0 462.051 * * [simplify]: Extracting #3: cost 314 inf + 2 462.054 * * [simplify]: Extracting #4: cost 299 inf + 3359 462.062 * * [simplify]: Extracting #5: cost 234 inf + 22374 462.083 * * [simplify]: Extracting #6: cost 60 inf + 148138 462.120 * * [simplify]: Extracting #7: cost 0 inf + 197383 462.152 * * [simplify]: Extracting #8: cost 0 inf + 193828 462.188 * * [simplify]: Extracting #9: cost 0 inf + 193788 462.233 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 462.233 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 462.233 * * * * [progress]: [ 578 / 667 ] simplifiying candidate # 462.234 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 462.234 * * [simplify]: iters left: 5 (6 enodes) 462.236 * * [simplify]: iters left: 4 (20 enodes) 462.239 * * [simplify]: iters left: 3 (22 enodes) 462.243 * * [simplify]: Extracting #0: cost 1 inf + 0 462.243 * * [simplify]: Extracting #1: cost 4 inf + 0 462.243 * * [simplify]: Extracting #2: cost 5 inf + 1 462.243 * * [simplify]: Extracting #3: cost 7 inf + 1 462.243 * * [simplify]: Extracting #4: cost 9 inf + 1 462.243 * * [simplify]: Extracting #5: cost 8 inf + 2 462.244 * * [simplify]: Extracting #6: cost 1 inf + 650 462.244 * * [simplify]: Extracting #7: cost 0 inf + 812 462.244 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 462.244 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 462.244 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 462.244 * * [simplify]: iters left: 6 (15 enodes) 462.248 * * [simplify]: iters left: 5 (62 enodes) 462.260 * * [simplify]: iters left: 4 (107 enodes) 462.293 * * [simplify]: iters left: 3 (177 enodes) 462.332 * * [simplify]: iters left: 2 (355 enodes) 462.458 * * [simplify]: Extracting #0: cost 1 inf + 0 462.459 * * [simplify]: Extracting #1: cost 88 inf + 0 462.460 * * [simplify]: Extracting #2: cost 238 inf + 0 462.462 * * [simplify]: Extracting #3: cost 310 inf + 2 462.465 * * [simplify]: Extracting #4: cost 299 inf + 3679 462.471 * * [simplify]: Extracting #5: cost 243 inf + 16225 462.498 * * [simplify]: Extracting #6: cost 81 inf + 123974 462.523 * * [simplify]: Extracting #7: cost 1 inf + 185486 462.572 * * [simplify]: Extracting #8: cost 0 inf + 184330 462.622 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 462.622 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 462.622 * * * * [progress]: [ 579 / 667 ] simplifiying candidate # 462.623 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 462.623 * * [simplify]: iters left: 4 (4 enodes) 462.626 * * [simplify]: iters left: 3 (14 enodes) 462.630 * * [simplify]: iters left: 2 (16 enodes) 462.633 * * [simplify]: Extracting #0: cost 1 inf + 0 462.634 * * [simplify]: Extracting #1: cost 0 inf + 1 462.634 * [simplify]: Simplified to 1 462.634 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 462.634 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 462.634 * * [simplify]: iters left: 6 (14 enodes) 462.640 * * [simplify]: iters left: 5 (59 enodes) 462.651 * * [simplify]: iters left: 4 (96 enodes) 462.666 * * [simplify]: iters left: 3 (149 enodes) 462.695 * * [simplify]: iters left: 2 (265 enodes) 462.775 * * [simplify]: Extracting #0: cost 1 inf + 0 462.775 * * [simplify]: Extracting #1: cost 50 inf + 0 462.776 * * [simplify]: Extracting #2: cost 132 inf + 0 462.777 * * [simplify]: Extracting #3: cost 195 inf + 3 462.779 * * [simplify]: Extracting #4: cost 179 inf + 4407 462.781 * * [simplify]: Extracting #5: cost 137 inf + 11514 462.787 * * [simplify]: Extracting #6: cost 57 inf + 57747 462.799 * * [simplify]: Extracting #7: cost 0 inf + 100144 462.812 * * [simplify]: Extracting #8: cost 0 inf + 98303 462.824 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 462.824 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 462.824 * * * * [progress]: [ 580 / 667 ] simplifiying candidate # 462.824 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 462.824 * * [simplify]: iters left: 5 (6 enodes) 462.826 * * [simplify]: iters left: 4 (20 enodes) 462.830 * * [simplify]: iters left: 3 (22 enodes) 462.833 * * [simplify]: Extracting #0: cost 1 inf + 0 462.833 * * [simplify]: Extracting #1: cost 4 inf + 0 462.833 * * [simplify]: Extracting #2: cost 5 inf + 1 462.833 * * [simplify]: Extracting #3: cost 7 inf + 1 462.833 * * [simplify]: Extracting #4: cost 9 inf + 1 462.833 * * [simplify]: Extracting #5: cost 8 inf + 2 462.833 * * [simplify]: Extracting #6: cost 1 inf + 650 462.833 * * [simplify]: Extracting #7: cost 0 inf + 812 462.833 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 462.834 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 462.834 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 462.834 * * [simplify]: iters left: 6 (15 enodes) 462.838 * * [simplify]: iters left: 5 (62 enodes) 462.852 * * [simplify]: iters left: 4 (107 enodes) 462.869 * * [simplify]: iters left: 3 (177 enodes) 462.903 * * [simplify]: iters left: 2 (355 enodes) 463.010 * * [simplify]: Extracting #0: cost 1 inf + 0 463.010 * * [simplify]: Extracting #1: cost 88 inf + 0 463.011 * * [simplify]: Extracting #2: cost 238 inf + 0 463.012 * * [simplify]: Extracting #3: cost 310 inf + 2 463.014 * * [simplify]: Extracting #4: cost 299 inf + 3679 463.017 * * [simplify]: Extracting #5: cost 243 inf + 16225 463.031 * * [simplify]: Extracting #6: cost 81 inf + 123974 463.055 * * [simplify]: Extracting #7: cost 1 inf + 185486 463.095 * * [simplify]: Extracting #8: cost 0 inf + 184330 463.147 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 463.147 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 463.147 * * * * [progress]: [ 581 / 667 ] simplifiying candidate # 463.148 * [simplify]: Simplifying (/ 1 (sqrt 1)) 463.148 * * [simplify]: iters left: 3 (3 enodes) 463.154 * * [simplify]: iters left: 2 (11 enodes) 463.157 * * [simplify]: iters left: 1 (13 enodes) 463.160 * * [simplify]: Extracting #0: cost 1 inf + 0 463.160 * * [simplify]: Extracting #1: cost 0 inf + 1 463.160 * [simplify]: Simplified to 1 463.160 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 463.161 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 463.161 * * [simplify]: iters left: 6 (14 enodes) 463.168 * * [simplify]: iters left: 5 (59 enodes) 463.188 * * [simplify]: iters left: 4 (96 enodes) 463.211 * * [simplify]: iters left: 3 (149 enodes) 463.253 * * [simplify]: iters left: 2 (265 enodes) 463.317 * * [simplify]: Extracting #0: cost 1 inf + 0 463.318 * * [simplify]: Extracting #1: cost 50 inf + 0 463.318 * * [simplify]: Extracting #2: cost 132 inf + 0 463.318 * * [simplify]: Extracting #3: cost 195 inf + 3 463.320 * * [simplify]: Extracting #4: cost 179 inf + 4407 463.322 * * [simplify]: Extracting #5: cost 137 inf + 11514 463.331 * * [simplify]: Extracting #6: cost 57 inf + 57747 463.343 * * [simplify]: Extracting #7: cost 0 inf + 100144 463.356 * * [simplify]: Extracting #8: cost 0 inf + 98303 463.368 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 463.368 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 463.368 * * * * [progress]: [ 582 / 667 ] simplifiying candidate # 463.369 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 463.369 * * [simplify]: iters left: 5 (6 enodes) 463.370 * * [simplify]: iters left: 4 (20 enodes) 463.374 * * [simplify]: iters left: 3 (22 enodes) 463.377 * * [simplify]: Extracting #0: cost 1 inf + 0 463.377 * * [simplify]: Extracting #1: cost 4 inf + 0 463.378 * * [simplify]: Extracting #2: cost 5 inf + 1 463.378 * * [simplify]: Extracting #3: cost 7 inf + 1 463.378 * * [simplify]: Extracting #4: cost 9 inf + 1 463.378 * * [simplify]: Extracting #5: cost 8 inf + 2 463.378 * * [simplify]: Extracting #6: cost 1 inf + 650 463.378 * * [simplify]: Extracting #7: cost 0 inf + 812 463.378 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 463.378 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 463.378 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 463.378 * * [simplify]: iters left: 6 (15 enodes) 463.383 * * [simplify]: iters left: 5 (62 enodes) 463.394 * * [simplify]: iters left: 4 (107 enodes) 463.415 * * [simplify]: iters left: 3 (177 enodes) 463.455 * * [simplify]: iters left: 2 (355 enodes) 463.563 * * [simplify]: Extracting #0: cost 1 inf + 0 463.563 * * [simplify]: Extracting #1: cost 88 inf + 0 463.564 * * [simplify]: Extracting #2: cost 238 inf + 0 463.565 * * [simplify]: Extracting #3: cost 310 inf + 2 463.567 * * [simplify]: Extracting #4: cost 299 inf + 3679 463.570 * * [simplify]: Extracting #5: cost 243 inf + 16225 463.588 * * [simplify]: Extracting #6: cost 81 inf + 123974 463.612 * * [simplify]: Extracting #7: cost 1 inf + 185486 463.637 * * [simplify]: Extracting #8: cost 0 inf + 184330 463.676 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 463.676 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 463.676 * * * * [progress]: [ 583 / 667 ] simplifiying candidate # 463.677 * [simplify]: Simplifying (/ 1 1) 463.677 * * [simplify]: iters left: 2 (2 enodes) 463.678 * * [simplify]: iters left: 1 (6 enodes) 463.681 * * [simplify]: Extracting #0: cost 1 inf + 0 463.681 * * [simplify]: Extracting #1: cost 0 inf + 1 463.681 * [simplify]: Simplified to 1 463.681 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 463.681 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 463.681 * * [simplify]: iters left: 6 (14 enodes) 463.689 * * [simplify]: iters left: 5 (59 enodes) 463.708 * * [simplify]: iters left: 4 (96 enodes) 463.738 * * [simplify]: iters left: 3 (149 enodes) 463.788 * * [simplify]: iters left: 2 (265 enodes) 463.867 * * [simplify]: Extracting #0: cost 1 inf + 0 463.867 * * [simplify]: Extracting #1: cost 50 inf + 0 463.867 * * [simplify]: Extracting #2: cost 132 inf + 0 463.868 * * [simplify]: Extracting #3: cost 195 inf + 3 463.869 * * [simplify]: Extracting #4: cost 179 inf + 4407 463.871 * * [simplify]: Extracting #5: cost 137 inf + 11514 463.878 * * [simplify]: Extracting #6: cost 57 inf + 57747 463.897 * * [simplify]: Extracting #7: cost 0 inf + 100144 463.914 * * [simplify]: Extracting #8: cost 0 inf + 98303 463.926 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 463.926 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 463.926 * * * * [progress]: [ 584 / 667 ] simplifiying candidate # 463.927 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 463.927 * * [simplify]: iters left: 6 (15 enodes) 463.931 * * [simplify]: iters left: 5 (62 enodes) 463.947 * * [simplify]: iters left: 4 (103 enodes) 463.963 * * [simplify]: iters left: 3 (163 enodes) 464.005 * * [simplify]: iters left: 2 (305 enodes) 464.143 * * [simplify]: Extracting #0: cost 1 inf + 0 464.143 * * [simplify]: Extracting #1: cost 54 inf + 0 464.144 * * [simplify]: Extracting #2: cost 144 inf + 0 464.145 * * [simplify]: Extracting #3: cost 215 inf + 2 464.147 * * [simplify]: Extracting #4: cost 223 inf + 221 464.150 * * [simplify]: Extracting #5: cost 202 inf + 4261 464.158 * * [simplify]: Extracting #6: cost 81 inf + 55459 464.175 * * [simplify]: Extracting #7: cost 3 inf + 110612 464.204 * * [simplify]: Extracting #8: cost 0 inf + 110322 464.223 * * [simplify]: Extracting #9: cost 0 inf + 110162 464.255 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 464.255 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 464.256 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 464.256 * * [simplify]: iters left: 6 (7 enodes) 464.259 * * [simplify]: iters left: 5 (25 enodes) 464.263 * * [simplify]: iters left: 4 (32 enodes) 464.268 * * [simplify]: iters left: 3 (34 enodes) 464.273 * * [simplify]: Extracting #0: cost 1 inf + 0 464.273 * * [simplify]: Extracting #1: cost 8 inf + 0 464.273 * * [simplify]: Extracting #2: cost 13 inf + 1 464.273 * * [simplify]: Extracting #3: cost 15 inf + 1 464.274 * * [simplify]: Extracting #4: cost 14 inf + 2 464.274 * * [simplify]: Extracting #5: cost 8 inf + 608 464.274 * * [simplify]: Extracting #6: cost 3 inf + 1536 464.274 * * [simplify]: Extracting #7: cost 0 inf + 2102 464.274 * [simplify]: Simplified to (/ 1 (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 464.274 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 464.275 * * * * [progress]: [ 585 / 667 ] simplifiying candidate # 464.275 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 464.275 * * [simplify]: iters left: 6 (15 enodes) 464.279 * * [simplify]: iters left: 5 (61 enodes) 464.290 * * [simplify]: iters left: 4 (96 enodes) 464.319 * * [simplify]: iters left: 3 (145 enodes) 464.358 * * [simplify]: iters left: 2 (246 enodes) 464.433 * * [simplify]: iters left: 1 (490 enodes) 464.662 * * [simplify]: Extracting #0: cost 1 inf + 0 464.663 * * [simplify]: Extracting #1: cost 47 inf + 0 464.664 * * [simplify]: Extracting #2: cost 147 inf + 0 464.665 * * [simplify]: Extracting #3: cost 227 inf + 3 464.667 * * [simplify]: Extracting #4: cost 244 inf + 183 464.671 * * [simplify]: Extracting #5: cost 213 inf + 6434 464.688 * * [simplify]: Extracting #6: cost 90 inf + 66421 464.721 * * [simplify]: Extracting #7: cost 1 inf + 137840 464.745 * * [simplify]: Extracting #8: cost 0 inf + 136986 464.788 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) 464.788 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 464.788 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 464.788 * * [simplify]: iters left: 6 (8 enodes) 464.792 * * [simplify]: iters left: 5 (28 enodes) 464.801 * * [simplify]: iters left: 4 (35 enodes) 464.810 * * [simplify]: iters left: 3 (37 enodes) 464.818 * * [simplify]: Extracting #0: cost 1 inf + 0 464.818 * * [simplify]: Extracting #1: cost 8 inf + 0 464.818 * * [simplify]: Extracting #2: cost 14 inf + 1 464.818 * * [simplify]: Extracting #3: cost 17 inf + 1 464.818 * * [simplify]: Extracting #4: cost 16 inf + 2 464.818 * * [simplify]: Extracting #5: cost 12 inf + 286 464.819 * * [simplify]: Extracting #6: cost 1 inf + 2302 464.819 * * [simplify]: Extracting #7: cost 0 inf + 2504 464.820 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 464.820 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 464.820 * * * * [progress]: [ 586 / 667 ] simplifiying candidate # 464.820 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 464.820 * * [simplify]: iters left: 6 (15 enodes) 464.824 * * [simplify]: iters left: 5 (61 enodes) 464.835 * * [simplify]: iters left: 4 (96 enodes) 464.855 * * [simplify]: iters left: 3 (145 enodes) 464.882 * * [simplify]: iters left: 2 (246 enodes) 464.952 * * [simplify]: iters left: 1 (490 enodes) 465.204 * * [simplify]: Extracting #0: cost 1 inf + 0 465.204 * * [simplify]: Extracting #1: cost 47 inf + 0 465.205 * * [simplify]: Extracting #2: cost 146 inf + 0 465.207 * * [simplify]: Extracting #3: cost 226 inf + 3 465.208 * * [simplify]: Extracting #4: cost 244 inf + 183 465.209 * * [simplify]: Extracting #5: cost 213 inf + 6434 465.218 * * [simplify]: Extracting #6: cost 90 inf + 66421 465.240 * * [simplify]: Extracting #7: cost 1 inf + 137840 465.279 * * [simplify]: Extracting #8: cost 0 inf + 136986 465.323 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) 465.323 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 465.323 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 465.323 * * [simplify]: iters left: 6 (9 enodes) 465.326 * * [simplify]: iters left: 5 (31 enodes) 465.330 * * [simplify]: iters left: 4 (38 enodes) 465.336 * * [simplify]: iters left: 3 (40 enodes) 465.342 * * [simplify]: Extracting #0: cost 1 inf + 0 465.342 * * [simplify]: Extracting #1: cost 8 inf + 0 465.342 * * [simplify]: Extracting #2: cost 14 inf + 1 465.342 * * [simplify]: Extracting #3: cost 18 inf + 1 465.342 * * [simplify]: Extracting #4: cost 17 inf + 83 465.342 * * [simplify]: Extracting #5: cost 9 inf + 1011 465.343 * * [simplify]: Extracting #6: cost 2 inf + 2502 465.343 * * [simplify]: Extracting #7: cost 0 inf + 2826 465.343 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 465.343 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 465.343 * * * * [progress]: [ 587 / 667 ] simplifiying candidate # 465.344 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 465.344 * * [simplify]: iters left: 6 (14 enodes) 465.348 * * [simplify]: iters left: 5 (57 enodes) 465.359 * * [simplify]: iters left: 4 (92 enodes) 465.387 * * [simplify]: iters left: 3 (137 enodes) 465.433 * * [simplify]: iters left: 2 (233 enodes) 465.504 * * [simplify]: iters left: 1 (473 enodes) 465.712 * * [simplify]: Extracting #0: cost 1 inf + 0 465.713 * * [simplify]: Extracting #1: cost 53 inf + 0 465.713 * * [simplify]: Extracting #2: cost 159 inf + 0 465.715 * * [simplify]: Extracting #3: cost 227 inf + 3 465.717 * * [simplify]: Extracting #4: cost 242 inf + 225 465.724 * * [simplify]: Extracting #5: cost 229 inf + 1711 465.731 * * [simplify]: Extracting #6: cost 144 inf + 18781 465.755 * * [simplify]: Extracting #7: cost 46 inf + 96415 465.774 * * [simplify]: Extracting #8: cost 2 inf + 139189 465.799 * * [simplify]: Extracting #9: cost 0 inf + 141394 465.818 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 465.818 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 465.819 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 465.819 * * [simplify]: iters left: 6 (7 enodes) 465.821 * * [simplify]: iters left: 5 (25 enodes) 465.827 * * [simplify]: iters left: 4 (32 enodes) 465.831 * * [simplify]: iters left: 3 (34 enodes) 465.836 * * [simplify]: Extracting #0: cost 1 inf + 0 465.836 * * [simplify]: Extracting #1: cost 8 inf + 0 465.836 * * [simplify]: Extracting #2: cost 13 inf + 1 465.836 * * [simplify]: Extracting #3: cost 15 inf + 1 465.836 * * [simplify]: Extracting #4: cost 14 inf + 2 465.837 * * [simplify]: Extracting #5: cost 8 inf + 528 465.837 * * [simplify]: Extracting #6: cost 3 inf + 1296 465.837 * * [simplify]: Extracting #7: cost 0 inf + 1782 465.837 * [simplify]: Simplified to (/ 1 (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 465.837 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 465.838 * * * * [progress]: [ 588 / 667 ] simplifiying candidate # 465.838 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt 1))) 465.838 * * [simplify]: iters left: 6 (13 enodes) 465.844 * * [simplify]: iters left: 5 (54 enodes) 465.854 * * [simplify]: iters left: 4 (87 enodes) 465.880 * * [simplify]: iters left: 3 (134 enodes) 465.917 * * [simplify]: iters left: 2 (227 enodes) 465.987 * * [simplify]: iters left: 1 (459 enodes) 466.228 * * [simplify]: Extracting #0: cost 1 inf + 0 466.229 * * [simplify]: Extracting #1: cost 56 inf + 0 466.229 * * [simplify]: Extracting #2: cost 164 inf + 2 466.231 * * [simplify]: Extracting #3: cost 226 inf + 176 466.234 * * [simplify]: Extracting #4: cost 211 inf + 1595 466.243 * * [simplify]: Extracting #5: cost 109 inf + 27791 466.272 * * [simplify]: Extracting #6: cost 8 inf + 95981 466.305 * * [simplify]: Extracting #7: cost 0 inf + 102854 466.338 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 466.338 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 466.338 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) 466.338 * * [simplify]: iters left: 6 (6 enodes) 466.342 * * [simplify]: iters left: 5 (22 enodes) 466.348 * * [simplify]: iters left: 4 (24 enodes) 466.352 * * [simplify]: iters left: 3 (25 enodes) 466.359 * * [simplify]: Extracting #0: cost 1 inf + 0 466.359 * * [simplify]: Extracting #1: cost 6 inf + 0 466.359 * * [simplify]: Extracting #2: cost 9 inf + 1 466.359 * * [simplify]: Extracting #3: cost 0 inf + 654 466.359 * [simplify]: Simplified to (/ 1 (sqrt k)) 466.359 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))) 466.359 * * * * [progress]: [ 589 / 667 ] simplifiying candidate # 466.359 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 466.359 * * [simplify]: iters left: 6 (14 enodes) 466.363 * * [simplify]: iters left: 5 (57 enodes) 466.373 * * [simplify]: iters left: 4 (92 enodes) 466.397 * * [simplify]: iters left: 3 (137 enodes) 466.434 * * [simplify]: iters left: 2 (233 enodes) 466.500 * * [simplify]: iters left: 1 (473 enodes) 466.694 * * [simplify]: Extracting #0: cost 1 inf + 0 466.694 * * [simplify]: Extracting #1: cost 53 inf + 0 466.695 * * [simplify]: Extracting #2: cost 159 inf + 0 466.696 * * [simplify]: Extracting #3: cost 227 inf + 3 466.697 * * [simplify]: Extracting #4: cost 242 inf + 225 466.698 * * [simplify]: Extracting #5: cost 229 inf + 1711 466.701 * * [simplify]: Extracting #6: cost 144 inf + 18781 466.714 * * [simplify]: Extracting #7: cost 46 inf + 96415 466.737 * * [simplify]: Extracting #8: cost 2 inf + 139189 466.757 * * [simplify]: Extracting #9: cost 0 inf + 141394 466.787 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 466.788 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 466.788 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 466.788 * * [simplify]: iters left: 6 (7 enodes) 466.792 * * [simplify]: iters left: 5 (25 enodes) 466.800 * * [simplify]: iters left: 4 (32 enodes) 466.809 * * [simplify]: iters left: 3 (34 enodes) 466.818 * * [simplify]: Extracting #0: cost 1 inf + 0 466.819 * * [simplify]: Extracting #1: cost 8 inf + 0 466.819 * * [simplify]: Extracting #2: cost 13 inf + 1 466.819 * * [simplify]: Extracting #3: cost 15 inf + 1 466.819 * * [simplify]: Extracting #4: cost 14 inf + 2 466.819 * * [simplify]: Extracting #5: cost 8 inf + 528 466.819 * * [simplify]: Extracting #6: cost 3 inf + 1296 466.820 * * [simplify]: Extracting #7: cost 0 inf + 1782 466.821 * [simplify]: Simplified to (/ 1 (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 466.821 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 466.821 * * * * [progress]: [ 590 / 667 ] simplifiying candidate # 466.821 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) 466.821 * * [simplify]: iters left: 6 (12 enodes) 466.830 * * [simplify]: iters left: 5 (51 enodes) 466.850 * * [simplify]: iters left: 4 (84 enodes) 466.866 * * [simplify]: iters left: 3 (131 enodes) 466.891 * * [simplify]: iters left: 2 (224 enodes) 466.951 * * [simplify]: iters left: 1 (449 enodes) 467.190 * * [simplify]: Extracting #0: cost 1 inf + 0 467.190 * * [simplify]: Extracting #1: cost 62 inf + 0 467.192 * * [simplify]: Extracting #2: cost 171 inf + 2 467.193 * * [simplify]: Extracting #3: cost 232 inf + 176 467.196 * * [simplify]: Extracting #4: cost 217 inf + 1766 467.208 * * [simplify]: Extracting #5: cost 95 inf + 46550 467.244 * * [simplify]: Extracting #6: cost 4 inf + 103776 467.271 * * [simplify]: Extracting #7: cost 0 inf + 106713 467.287 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 467.287 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 467.288 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) 467.288 * * [simplify]: iters left: 6 (6 enodes) 467.290 * * [simplify]: iters left: 5 (22 enodes) 467.293 * * [simplify]: iters left: 4 (24 enodes) 467.300 * * [simplify]: iters left: 3 (25 enodes) 467.307 * * [simplify]: Extracting #0: cost 1 inf + 0 467.307 * * [simplify]: Extracting #1: cost 6 inf + 0 467.307 * * [simplify]: Extracting #2: cost 9 inf + 1 467.307 * * [simplify]: Extracting #3: cost 0 inf + 654 467.308 * [simplify]: Simplified to (/ 1 (sqrt k)) 467.308 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 467.308 * * * * [progress]: [ 591 / 667 ] simplifiying candidate # 467.308 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 467.308 * * [simplify]: iters left: 6 (14 enodes) 467.316 * * [simplify]: iters left: 5 (57 enodes) 467.327 * * [simplify]: iters left: 4 (92 enodes) 467.345 * * [simplify]: iters left: 3 (137 enodes) 467.375 * * [simplify]: iters left: 2 (233 enodes) 467.438 * * [simplify]: iters left: 1 (473 enodes) 467.608 * * [simplify]: Extracting #0: cost 1 inf + 0 467.609 * * [simplify]: Extracting #1: cost 53 inf + 0 467.609 * * [simplify]: Extracting #2: cost 159 inf + 0 467.611 * * [simplify]: Extracting #3: cost 227 inf + 3 467.613 * * [simplify]: Extracting #4: cost 242 inf + 225 467.616 * * [simplify]: Extracting #5: cost 229 inf + 1711 467.622 * * [simplify]: Extracting #6: cost 144 inf + 18781 467.647 * * [simplify]: Extracting #7: cost 46 inf + 96415 467.672 * * [simplify]: Extracting #8: cost 2 inf + 139189 467.692 * * [simplify]: Extracting #9: cost 0 inf + 141394 467.732 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 467.732 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 467.732 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 467.732 * * [simplify]: iters left: 6 (7 enodes) 467.736 * * [simplify]: iters left: 5 (25 enodes) 467.744 * * [simplify]: iters left: 4 (32 enodes) 467.753 * * [simplify]: iters left: 3 (34 enodes) 467.763 * * [simplify]: Extracting #0: cost 1 inf + 0 467.763 * * [simplify]: Extracting #1: cost 8 inf + 0 467.763 * * [simplify]: Extracting #2: cost 13 inf + 1 467.763 * * [simplify]: Extracting #3: cost 15 inf + 1 467.764 * * [simplify]: Extracting #4: cost 14 inf + 2 467.764 * * [simplify]: Extracting #5: cost 8 inf + 528 467.764 * * [simplify]: Extracting #6: cost 3 inf + 1296 467.765 * * [simplify]: Extracting #7: cost 0 inf + 1782 467.765 * [simplify]: Simplified to (/ 1 (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 467.766 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 467.766 * * * * [progress]: [ 592 / 667 ] simplifiying candidate # 467.766 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) 467.766 * * [simplify]: iters left: 6 (11 enodes) 467.773 * * [simplify]: iters left: 5 (46 enodes) 467.782 * * [simplify]: iters left: 4 (77 enodes) 467.795 * * [simplify]: iters left: 3 (131 enodes) 467.832 * * [simplify]: iters left: 2 (250 enodes) 467.906 * * [simplify]: Extracting #0: cost 1 inf + 0 467.906 * * [simplify]: Extracting #1: cost 31 inf + 0 467.907 * * [simplify]: Extracting #2: cost 106 inf + 2 467.907 * * [simplify]: Extracting #3: cost 143 inf + 217 467.909 * * [simplify]: Extracting #4: cost 137 inf + 845 467.911 * * [simplify]: Extracting #5: cost 94 inf + 5732 467.914 * * [simplify]: Extracting #6: cost 46 inf + 26137 467.923 * * [simplify]: Extracting #7: cost 2 inf + 57094 467.931 * * [simplify]: Extracting #8: cost 0 inf + 57619 467.939 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 467.939 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 467.939 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) 467.940 * * [simplify]: iters left: 6 (6 enodes) 467.942 * * [simplify]: iters left: 5 (22 enodes) 467.948 * * [simplify]: iters left: 4 (24 enodes) 467.955 * * [simplify]: iters left: 3 (25 enodes) 467.962 * * [simplify]: Extracting #0: cost 1 inf + 0 467.962 * * [simplify]: Extracting #1: cost 6 inf + 0 467.962 * * [simplify]: Extracting #2: cost 9 inf + 1 467.962 * * [simplify]: Extracting #3: cost 0 inf + 654 467.963 * [simplify]: Simplified to (/ 1 (sqrt k)) 467.963 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 467.963 * * * * [progress]: [ 593 / 667 ] simplifiying candidate # 467.963 * * * * [progress]: [ 594 / 667 ] simplifiying candidate # 467.963 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 467.963 * * [simplify]: iters left: 4 (5 enodes) 467.966 * * [simplify]: iters left: 3 (17 enodes) 467.971 * * [simplify]: iters left: 2 (19 enodes) 467.977 * * [simplify]: Extracting #0: cost 1 inf + 0 467.977 * * [simplify]: Extracting #1: cost 4 inf + 0 467.977 * * [simplify]: Extracting #2: cost 5 inf + 1 467.977 * * [simplify]: Extracting #3: cost 7 inf + 1 467.977 * * [simplify]: Extracting #4: cost 0 inf + 490 467.978 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 467.978 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))) 467.978 * * * * [progress]: [ 595 / 667 ] simplifiying candidate # 467.978 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 467.978 * * [simplify]: iters left: 6 (14 enodes) 467.986 * * [simplify]: iters left: 5 (59 enodes) 468.005 * * [simplify]: iters left: 4 (100 enodes) 468.027 * * [simplify]: iters left: 3 (151 enodes) 468.061 * * [simplify]: iters left: 2 (276 enodes) 468.133 * * [simplify]: Extracting #0: cost 1 inf + 0 468.133 * * [simplify]: Extracting #1: cost 42 inf + 0 468.133 * * [simplify]: Extracting #2: cost 117 inf + 0 468.134 * * [simplify]: Extracting #3: cost 172 inf + 125 468.134 * * [simplify]: Extracting #4: cost 177 inf + 383 468.136 * * [simplify]: Extracting #5: cost 142 inf + 6796 468.138 * * [simplify]: Extracting #6: cost 96 inf + 18067 468.147 * * [simplify]: Extracting #7: cost 16 inf + 76438 468.163 * * [simplify]: Extracting #8: cost 0 inf + 88893 468.181 * * [simplify]: Extracting #9: cost 0 inf + 87601 468.193 * * [simplify]: Extracting #10: cost 0 inf + 87470 468.205 * [simplify]: Simplified to (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))) 468.205 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) 468.205 * * * * [progress]: [ 596 / 667 ] simplifiying candidate # 468.206 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 468.206 * * [simplify]: iters left: 6 (16 enodes) 468.210 * * [simplify]: iters left: 5 (67 enodes) 468.224 * * [simplify]: iters left: 4 (117 enodes) 468.245 * * [simplify]: iters left: 3 (214 enodes) 468.327 * * [simplify]: Extracting #0: cost 1 inf + 0 468.327 * * [simplify]: Extracting #1: cost 54 inf + 0 468.328 * * [simplify]: Extracting #2: cost 126 inf + 0 468.329 * * [simplify]: Extracting #3: cost 168 inf + 0 468.330 * * [simplify]: Extracting #4: cost 163 inf + 802 468.336 * * [simplify]: Extracting #5: cost 92 inf + 25632 468.349 * * [simplify]: Extracting #6: cost 7 inf + 75525 468.361 * * [simplify]: Extracting #7: cost 0 inf + 80391 468.375 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 468.375 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k))))) 468.375 * * * * [progress]: [ 597 / 667 ] simplifiying candidate # 468.376 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 468.376 * * [simplify]: iters left: 6 (17 enodes) 468.385 * * [simplify]: iters left: 5 (69 enodes) 468.408 * * [simplify]: iters left: 4 (114 enodes) 468.439 * * [simplify]: iters left: 3 (187 enodes) 468.487 * * [simplify]: iters left: 2 (370 enodes) 468.598 * * [simplify]: Extracting #0: cost 1 inf + 0 468.598 * * [simplify]: Extracting #1: cost 89 inf + 0 468.599 * * [simplify]: Extracting #2: cost 243 inf + 0 468.601 * * [simplify]: Extracting #3: cost 317 inf + 2 468.604 * * [simplify]: Extracting #4: cost 302 inf + 2895 468.613 * * [simplify]: Extracting #5: cost 223 inf + 30616 468.658 * * [simplify]: Extracting #6: cost 37 inf + 170826 468.711 * * [simplify]: Extracting #7: cost 0 inf + 200300 468.747 * * [simplify]: Extracting #8: cost 0 inf + 198607 468.783 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt k))) 468.783 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 468.783 * * * * [progress]: [ 598 / 667 ] simplifiying candidate # 468.784 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 468.784 * * [simplify]: iters left: 6 (18 enodes) 468.789 * * [simplify]: iters left: 5 (72 enodes) 468.801 * * [simplify]: iters left: 4 (113 enodes) 468.831 * * [simplify]: iters left: 3 (187 enodes) 468.903 * * [simplify]: iters left: 2 (386 enodes) 469.022 * * [simplify]: Extracting #0: cost 1 inf + 0 469.022 * * [simplify]: Extracting #1: cost 86 inf + 0 469.022 * * [simplify]: Extracting #2: cost 235 inf + 0 469.023 * * [simplify]: Extracting #3: cost 314 inf + 2 469.025 * * [simplify]: Extracting #4: cost 298 inf + 2822 469.031 * * [simplify]: Extracting #5: cost 192 inf + 51285 469.051 * * [simplify]: Extracting #6: cost 31 inf + 166417 469.099 * * [simplify]: Extracting #7: cost 0 inf + 193759 469.149 * * [simplify]: Extracting #8: cost 0 inf + 193548 469.175 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (fabs (cbrt k)))) 469.175 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) 469.175 * * * * [progress]: [ 599 / 667 ] simplifiying candidate # 469.175 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 469.176 * * [simplify]: iters left: 6 (15 enodes) 469.180 * * [simplify]: iters left: 5 (62 enodes) 469.194 * * [simplify]: iters left: 4 (107 enodes) 469.227 * * [simplify]: iters left: 3 (177 enodes) 469.289 * * [simplify]: iters left: 2 (355 enodes) 469.421 * * [simplify]: Extracting #0: cost 1 inf + 0 469.421 * * [simplify]: Extracting #1: cost 88 inf + 0 469.422 * * [simplify]: Extracting #2: cost 238 inf + 0 469.423 * * [simplify]: Extracting #3: cost 310 inf + 2 469.425 * * [simplify]: Extracting #4: cost 299 inf + 3679 469.428 * * [simplify]: Extracting #5: cost 243 inf + 16225 469.441 * * [simplify]: Extracting #6: cost 81 inf + 123974 469.481 * * [simplify]: Extracting #7: cost 1 inf + 185486 469.531 * * [simplify]: Extracting #8: cost 0 inf + 184330 469.556 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 469.557 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) 469.557 * * * * [progress]: [ 600 / 667 ] simplifiying candidate # 469.557 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt 1))) 469.557 * * [simplify]: iters left: 6 (16 enodes) 469.566 * * [simplify]: iters left: 5 (65 enodes) 469.588 * * [simplify]: iters left: 4 (105 enodes) 469.611 * * [simplify]: iters left: 3 (174 enodes) 469.660 * * [simplify]: iters left: 2 (349 enodes) 469.799 * * [simplify]: Extracting #0: cost 1 inf + 0 469.800 * * [simplify]: Extracting #1: cost 68 inf + 0 469.800 * * [simplify]: Extracting #2: cost 168 inf + 1 469.801 * * [simplify]: Extracting #3: cost 216 inf + 3 469.803 * * [simplify]: Extracting #4: cost 201 inf + 3611 469.807 * * [simplify]: Extracting #5: cost 132 inf + 25935 469.821 * * [simplify]: Extracting #6: cost 23 inf + 101699 469.844 * * [simplify]: Extracting #7: cost 0 inf + 119931 469.880 * * [simplify]: Extracting #8: cost 0 inf + 118507 469.911 * * [simplify]: Extracting #9: cost 0 inf + 118466 469.932 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 469.932 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 469.932 * * * * [progress]: [ 601 / 667 ] simplifiying candidate # 469.932 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 469.932 * * [simplify]: iters left: 6 (15 enodes) 469.937 * * [simplify]: iters left: 5 (62 enodes) 469.948 * * [simplify]: iters left: 4 (107 enodes) 469.967 * * [simplify]: iters left: 3 (177 enodes) 470.018 * * [simplify]: iters left: 2 (355 enodes) 470.150 * * [simplify]: Extracting #0: cost 1 inf + 0 470.151 * * [simplify]: Extracting #1: cost 88 inf + 0 470.152 * * [simplify]: Extracting #2: cost 238 inf + 0 470.155 * * [simplify]: Extracting #3: cost 310 inf + 2 470.158 * * [simplify]: Extracting #4: cost 299 inf + 3679 470.164 * * [simplify]: Extracting #5: cost 243 inf + 16225 470.192 * * [simplify]: Extracting #6: cost 81 inf + 123974 470.246 * * [simplify]: Extracting #7: cost 1 inf + 185486 470.296 * * [simplify]: Extracting #8: cost 0 inf + 184330 470.348 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 470.348 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) 470.348 * * * * [progress]: [ 602 / 667 ] simplifiying candidate # 470.348 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt 1)) 470.348 * * [simplify]: iters left: 6 (15 enodes) 470.358 * * [simplify]: iters left: 5 (62 enodes) 470.377 * * [simplify]: iters left: 4 (102 enodes) 470.397 * * [simplify]: iters left: 3 (167 enodes) 470.442 * * [simplify]: iters left: 2 (337 enodes) 470.610 * * [simplify]: Extracting #0: cost 1 inf + 0 470.610 * * [simplify]: Extracting #1: cost 67 inf + 0 470.611 * * [simplify]: Extracting #2: cost 156 inf + 1 470.612 * * [simplify]: Extracting #3: cost 204 inf + 3 470.615 * * [simplify]: Extracting #4: cost 188 inf + 5245 470.630 * * [simplify]: Extracting #5: cost 75 inf + 61106 470.663 * * [simplify]: Extracting #6: cost 7 inf + 107207 470.681 * * [simplify]: Extracting #7: cost 0 inf + 110500 470.709 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 470.709 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 470.709 * * * * [progress]: [ 603 / 667 ] simplifiying candidate # 470.710 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 470.710 * * [simplify]: iters left: 6 (15 enodes) 470.718 * * [simplify]: iters left: 5 (62 enodes) 470.733 * * [simplify]: iters left: 4 (107 enodes) 470.750 * * [simplify]: iters left: 3 (177 enodes) 470.803 * * [simplify]: iters left: 2 (355 enodes) 470.933 * * [simplify]: Extracting #0: cost 1 inf + 0 470.933 * * [simplify]: Extracting #1: cost 88 inf + 0 470.935 * * [simplify]: Extracting #2: cost 238 inf + 0 470.937 * * [simplify]: Extracting #3: cost 310 inf + 2 470.940 * * [simplify]: Extracting #4: cost 299 inf + 3679 470.946 * * [simplify]: Extracting #5: cost 243 inf + 16225 470.968 * * [simplify]: Extracting #6: cost 81 inf + 123974 471.020 * * [simplify]: Extracting #7: cost 1 inf + 185486 471.048 * * [simplify]: Extracting #8: cost 0 inf + 184330 471.091 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 471.091 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) 471.091 * * * * [progress]: [ 604 / 667 ] simplifiying candidate # 471.092 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 1) 471.092 * * [simplify]: iters left: 6 (14 enodes) 471.100 * * [simplify]: iters left: 5 (57 enodes) 471.119 * * [simplify]: iters left: 4 (98 enodes) 471.136 * * [simplify]: iters left: 3 (167 enodes) 471.179 * * [simplify]: iters left: 2 (355 enodes) 471.416 * * [simplify]: Extracting #0: cost 1 inf + 0 471.416 * * [simplify]: Extracting #1: cost 65 inf + 0 471.418 * * [simplify]: Extracting #2: cost 193 inf + 1 471.420 * * [simplify]: Extracting #3: cost 241 inf + 3 471.423 * * [simplify]: Extracting #4: cost 221 inf + 4775 471.430 * * [simplify]: Extracting #5: cost 164 inf + 22558 471.455 * * [simplify]: Extracting #6: cost 50 inf + 95211 471.496 * * [simplify]: Extracting #7: cost 0 inf + 133937 471.539 * * [simplify]: Extracting #8: cost 0 inf + 133423 471.583 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 471.583 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 471.583 * * * * [progress]: [ 605 / 667 ] simplifiying candidate # 471.584 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 471.584 * * [simplify]: iters left: 6 (15 enodes) 471.592 * * [simplify]: iters left: 5 (60 enodes) 471.611 * * [simplify]: iters left: 4 (91 enodes) 471.639 * * [simplify]: iters left: 3 (137 enodes) 471.683 * * [simplify]: iters left: 2 (249 enodes) 471.744 * * [simplify]: iters left: 1 (488 enodes) 471.959 * * [simplify]: Extracting #0: cost 1 inf + 0 471.959 * * [simplify]: Extracting #1: cost 4 inf + 0 471.959 * * [simplify]: Extracting #2: cost 8 inf + 0 471.959 * * [simplify]: Extracting #3: cost 58 inf + 0 471.960 * * [simplify]: Extracting #4: cost 171 inf + 42 471.961 * * [simplify]: Extracting #5: cost 246 inf + 167 471.962 * * [simplify]: Extracting #6: cost 247 inf + 1338 471.965 * * [simplify]: Extracting #7: cost 189 inf + 10227 471.977 * * [simplify]: Extracting #8: cost 98 inf + 60082 472.004 * * [simplify]: Extracting #9: cost 2 inf + 152094 472.045 * * [simplify]: Extracting #10: cost 0 inf + 151252 472.066 * * [simplify]: Extracting #11: cost 0 inf + 150852 472.090 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 472.091 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (cbrt (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt (sqrt k))))))) 472.091 * * * * [progress]: [ 606 / 667 ] simplifiying candidate # 472.091 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 472.091 * * [simplify]: iters left: 6 (15 enodes) 472.100 * * [simplify]: iters left: 5 (60 enodes) 472.119 * * [simplify]: iters left: 4 (91 enodes) 472.148 * * [simplify]: iters left: 3 (137 enodes) 472.196 * * [simplify]: iters left: 2 (249 enodes) 472.279 * * [simplify]: iters left: 1 (488 enodes) 472.493 * * [simplify]: Extracting #0: cost 1 inf + 0 472.493 * * [simplify]: Extracting #1: cost 4 inf + 0 472.493 * * [simplify]: Extracting #2: cost 8 inf + 0 472.493 * * [simplify]: Extracting #3: cost 58 inf + 0 472.494 * * [simplify]: Extracting #4: cost 171 inf + 42 472.496 * * [simplify]: Extracting #5: cost 246 inf + 167 472.499 * * [simplify]: Extracting #6: cost 247 inf + 1338 472.504 * * [simplify]: Extracting #7: cost 189 inf + 10147 472.520 * * [simplify]: Extracting #8: cost 98 inf + 59922 472.549 * * [simplify]: Extracting #9: cost 2 inf + 151934 472.580 * * [simplify]: Extracting #10: cost 0 inf + 151092 472.601 * * [simplify]: Extracting #11: cost 0 inf + 150692 472.639 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 472.639 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (sqrt (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt (sqrt k))))))) 472.639 * * * * [progress]: [ 607 / 667 ] simplifiying candidate # 472.639 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k))))) 472.639 * * [simplify]: iters left: 6 (13 enodes) 472.647 * * [simplify]: iters left: 5 (53 enodes) 472.667 * * [simplify]: iters left: 4 (87 enodes) 472.695 * * [simplify]: iters left: 3 (143 enodes) 472.727 * * [simplify]: iters left: 2 (287 enodes) 472.812 * * [simplify]: Extracting #0: cost 1 inf + 0 472.812 * * [simplify]: Extracting #1: cost 56 inf + 0 472.812 * * [simplify]: Extracting #2: cost 150 inf + 0 472.813 * * [simplify]: Extracting #3: cost 210 inf + 2 472.814 * * [simplify]: Extracting #4: cost 194 inf + 4543 472.816 * * [simplify]: Extracting #5: cost 154 inf + 10761 472.823 * * [simplify]: Extracting #6: cost 62 inf + 64662 472.844 * * [simplify]: Extracting #7: cost 2 inf + 112081 472.864 * * [simplify]: Extracting #8: cost 0 inf + 112463 472.883 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k))))) 472.883 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k))))))) 472.883 * * * * [progress]: [ 608 / 667 ] simplifiying candidate # 472.884 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k))))) 472.884 * * [simplify]: iters left: 6 (14 enodes) 472.888 * * [simplify]: iters left: 5 (56 enodes) 472.897 * * [simplify]: iters left: 4 (90 enodes) 472.921 * * [simplify]: iters left: 3 (146 enodes) 472.968 * * [simplify]: iters left: 2 (290 enodes) 473.055 * * [simplify]: Extracting #0: cost 1 inf + 0 473.055 * * [simplify]: Extracting #1: cost 56 inf + 0 473.055 * * [simplify]: Extracting #2: cost 151 inf + 0 473.056 * * [simplify]: Extracting #3: cost 210 inf + 2 473.057 * * [simplify]: Extracting #4: cost 189 inf + 5905 473.061 * * [simplify]: Extracting #5: cost 118 inf + 30087 473.072 * * [simplify]: Extracting #6: cost 20 inf + 98137 473.087 * * [simplify]: Extracting #7: cost 0 inf + 113452 473.101 * * [simplify]: Extracting #8: cost 0 inf + 113001 473.117 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k))))) 473.117 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k))))))) 473.117 * * * * [progress]: [ 609 / 667 ] simplifiying candidate # 473.118 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k))))) 473.118 * * [simplify]: iters left: 6 (15 enodes) 473.122 * * [simplify]: iters left: 5 (59 enodes) 473.133 * * [simplify]: iters left: 4 (93 enodes) 473.151 * * [simplify]: iters left: 3 (149 enodes) 473.187 * * [simplify]: iters left: 2 (293 enodes) 473.277 * * [simplify]: Extracting #0: cost 1 inf + 0 473.277 * * [simplify]: Extracting #1: cost 56 inf + 0 473.278 * * [simplify]: Extracting #2: cost 150 inf + 0 473.278 * * [simplify]: Extracting #3: cost 210 inf + 2 473.279 * * [simplify]: Extracting #4: cost 194 inf + 4534 473.284 * * [simplify]: Extracting #5: cost 114 inf + 36942 473.305 * * [simplify]: Extracting #6: cost 18 inf + 102108 473.339 * * [simplify]: Extracting #7: cost 1 inf + 113039 473.378 * * [simplify]: Extracting #8: cost 0 inf + 112434 473.413 * * [simplify]: Extracting #9: cost 0 inf + 112355 473.446 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k))))) 473.446 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k))))))) 473.446 * * * * [progress]: [ 610 / 667 ] simplifiying candidate # 473.447 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) 473.447 * * [simplify]: iters left: 6 (13 enodes) 473.454 * * [simplify]: iters left: 5 (53 enodes) 473.472 * * [simplify]: iters left: 4 (87 enodes) 473.488 * * [simplify]: iters left: 3 (143 enodes) 473.520 * * [simplify]: iters left: 2 (287 enodes) 473.641 * * [simplify]: Extracting #0: cost 1 inf + 0 473.641 * * [simplify]: Extracting #1: cost 56 inf + 0 473.641 * * [simplify]: Extracting #2: cost 150 inf + 0 473.642 * * [simplify]: Extracting #3: cost 210 inf + 2 473.643 * * [simplify]: Extracting #4: cost 194 inf + 4383 473.645 * * [simplify]: Extracting #5: cost 154 inf + 10441 473.652 * * [simplify]: Extracting #6: cost 62 inf + 62862 473.669 * * [simplify]: Extracting #7: cost 2 inf + 108801 473.698 * * [simplify]: Extracting #8: cost 0 inf + 109103 473.727 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) 473.727 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))))) 473.728 * * * * [progress]: [ 611 / 667 ] simplifiying candidate # 473.728 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 473.728 * * [simplify]: iters left: 6 (12 enodes) 473.735 * * [simplify]: iters left: 5 (50 enodes) 473.757 * * [simplify]: iters left: 4 (83 enodes) 473.783 * * [simplify]: iters left: 3 (133 enodes) 473.830 * * [simplify]: iters left: 2 (263 enodes) 473.947 * * [simplify]: Extracting #0: cost 1 inf + 0 473.947 * * [simplify]: Extracting #1: cost 42 inf + 0 473.948 * * [simplify]: Extracting #2: cost 119 inf + 0 473.949 * * [simplify]: Extracting #3: cost 168 inf + 125 473.951 * * [simplify]: Extracting #4: cost 168 inf + 1005 473.954 * * [simplify]: Extracting #5: cost 128 inf + 9241 473.965 * * [simplify]: Extracting #6: cost 50 inf + 45033 473.985 * * [simplify]: Extracting #7: cost 0 inf + 81336 474.006 * * [simplify]: Extracting #8: cost 0 inf + 81043 474.027 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 474.027 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 474.028 * * * * [progress]: [ 612 / 667 ] simplifiying candidate # 474.028 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) 474.028 * * [simplify]: iters left: 6 (13 enodes) 474.035 * * [simplify]: iters left: 5 (53 enodes) 474.057 * * [simplify]: iters left: 4 (87 enodes) 474.085 * * [simplify]: iters left: 3 (143 enodes) 474.135 * * [simplify]: iters left: 2 (287 enodes) 474.229 * * [simplify]: Extracting #0: cost 1 inf + 0 474.229 * * [simplify]: Extracting #1: cost 56 inf + 0 474.229 * * [simplify]: Extracting #2: cost 150 inf + 0 474.230 * * [simplify]: Extracting #3: cost 210 inf + 2 474.231 * * [simplify]: Extracting #4: cost 194 inf + 4383 474.233 * * [simplify]: Extracting #5: cost 154 inf + 10441 474.240 * * [simplify]: Extracting #6: cost 62 inf + 62862 474.264 * * [simplify]: Extracting #7: cost 2 inf + 108801 474.298 * * [simplify]: Extracting #8: cost 0 inf + 109103 474.326 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) 474.326 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))))) 474.326 * * * * [progress]: [ 613 / 667 ] simplifiying candidate # 474.326 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 474.326 * * [simplify]: iters left: 6 (12 enodes) 474.333 * * [simplify]: iters left: 5 (50 enodes) 474.349 * * [simplify]: iters left: 4 (83 enodes) 474.368 * * [simplify]: iters left: 3 (133 enodes) 474.398 * * [simplify]: iters left: 2 (263 enodes) 474.481 * * [simplify]: Extracting #0: cost 1 inf + 0 474.481 * * [simplify]: Extracting #1: cost 42 inf + 0 474.481 * * [simplify]: Extracting #2: cost 119 inf + 0 474.482 * * [simplify]: Extracting #3: cost 168 inf + 125 474.483 * * [simplify]: Extracting #4: cost 168 inf + 1005 474.484 * * [simplify]: Extracting #5: cost 128 inf + 9241 474.490 * * [simplify]: Extracting #6: cost 50 inf + 45033 474.514 * * [simplify]: Extracting #7: cost 0 inf + 81336 474.527 * * [simplify]: Extracting #8: cost 0 inf + 81043 474.537 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 474.537 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 474.537 * * * * [progress]: [ 614 / 667 ] simplifiying candidate # 474.538 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) 474.538 * * [simplify]: iters left: 6 (13 enodes) 474.542 * * [simplify]: iters left: 5 (53 enodes) 474.552 * * [simplify]: iters left: 4 (87 enodes) 474.567 * * [simplify]: iters left: 3 (143 enodes) 474.602 * * [simplify]: iters left: 2 (287 enodes) 474.717 * * [simplify]: Extracting #0: cost 1 inf + 0 474.718 * * [simplify]: Extracting #1: cost 56 inf + 0 474.719 * * [simplify]: Extracting #2: cost 150 inf + 0 474.720 * * [simplify]: Extracting #3: cost 210 inf + 2 474.722 * * [simplify]: Extracting #4: cost 194 inf + 4383 474.726 * * [simplify]: Extracting #5: cost 154 inf + 10441 474.740 * * [simplify]: Extracting #6: cost 62 inf + 62862 474.766 * * [simplify]: Extracting #7: cost 2 inf + 108801 474.795 * * [simplify]: Extracting #8: cost 0 inf + 109103 474.824 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) 474.824 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))))) 474.824 * * * * [progress]: [ 615 / 667 ] simplifiying candidate # 474.825 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 474.825 * * [simplify]: iters left: 6 (12 enodes) 474.831 * * [simplify]: iters left: 5 (50 enodes) 474.848 * * [simplify]: iters left: 4 (83 enodes) 474.879 * * [simplify]: iters left: 3 (133 enodes) 474.925 * * [simplify]: iters left: 2 (263 enodes) 475.013 * * [simplify]: Extracting #0: cost 1 inf + 0 475.013 * * [simplify]: Extracting #1: cost 42 inf + 0 475.014 * * [simplify]: Extracting #2: cost 119 inf + 0 475.015 * * [simplify]: Extracting #3: cost 168 inf + 125 475.016 * * [simplify]: Extracting #4: cost 168 inf + 1005 475.020 * * [simplify]: Extracting #5: cost 128 inf + 9241 475.030 * * [simplify]: Extracting #6: cost 50 inf + 45033 475.041 * * [simplify]: Extracting #7: cost 0 inf + 81336 475.051 * * [simplify]: Extracting #8: cost 0 inf + 81043 475.062 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 475.062 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 475.062 * * * * [progress]: [ 616 / 667 ] simplifiying candidate # 475.063 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) 475.063 * * [simplify]: iters left: 6 (16 enodes) 475.071 * * [simplify]: iters left: 5 (65 enodes) 475.083 * * [simplify]: iters left: 4 (99 enodes) 475.103 * * [simplify]: iters left: 3 (143 enodes) 475.141 * * [simplify]: iters left: 2 (239 enodes) 475.200 * * [simplify]: iters left: 1 (403 enodes) 475.361 * * [simplify]: Extracting #0: cost 1 inf + 0 475.361 * * [simplify]: Extracting #1: cost 8 inf + 0 475.362 * * [simplify]: Extracting #2: cost 16 inf + 0 475.362 * * [simplify]: Extracting #3: cost 43 inf + 0 475.362 * * [simplify]: Extracting #4: cost 111 inf + 43 475.363 * * [simplify]: Extracting #5: cost 157 inf + 340 475.364 * * [simplify]: Extracting #6: cost 122 inf + 5654 475.367 * * [simplify]: Extracting #7: cost 55 inf + 21509 475.376 * * [simplify]: Extracting #8: cost 6 inf + 54171 475.394 * * [simplify]: Extracting #9: cost 0 inf + 60057 475.413 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 475.413 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) 475.413 * * * * [progress]: [ 617 / 667 ] simplifiying candidate # 475.413 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k))))) 475.414 * * [simplify]: iters left: 6 (17 enodes) 475.423 * * [simplify]: iters left: 5 (68 enodes) 475.444 * * [simplify]: iters left: 4 (102 enodes) 475.463 * * [simplify]: iters left: 3 (146 enodes) 475.489 * * [simplify]: iters left: 2 (242 enodes) 475.574 * * [simplify]: iters left: 1 (415 enodes) 475.726 * * [simplify]: Extracting #0: cost 1 inf + 0 475.726 * * [simplify]: Extracting #1: cost 8 inf + 0 475.727 * * [simplify]: Extracting #2: cost 17 inf + 0 475.727 * * [simplify]: Extracting #3: cost 46 inf + 0 475.727 * * [simplify]: Extracting #4: cost 120 inf + 205 475.728 * * [simplify]: Extracting #5: cost 166 inf + 1028 475.729 * * [simplify]: Extracting #6: cost 115 inf + 9785 475.735 * * [simplify]: Extracting #7: cost 42 inf + 33467 475.745 * * [simplify]: Extracting #8: cost 1 inf + 68523 475.766 * * [simplify]: Extracting #9: cost 0 inf + 69299 475.788 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) 475.788 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))))) 475.788 * * * * [progress]: [ 618 / 667 ] simplifiying candidate # 475.789 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k))))) 475.789 * * [simplify]: iters left: 6 (18 enodes) 475.798 * * [simplify]: iters left: 5 (71 enodes) 475.821 * * [simplify]: iters left: 4 (105 enodes) 475.851 * * [simplify]: iters left: 3 (152 enodes) 475.880 * * [simplify]: iters left: 2 (250 enodes) 475.968 * * [simplify]: iters left: 1 (420 enodes) 476.486 * * [simplify]: Extracting #0: cost 1 inf + 0 476.486 * * [simplify]: Extracting #1: cost 8 inf + 0 476.486 * * [simplify]: Extracting #2: cost 17 inf + 0 476.486 * * [simplify]: Extracting #3: cost 50 inf + 0 476.487 * * [simplify]: Extracting #4: cost 129 inf + 84 476.488 * * [simplify]: Extracting #5: cost 189 inf + 1549 476.494 * * [simplify]: Extracting #6: cost 111 inf + 19464 476.509 * * [simplify]: Extracting #7: cost 8 inf + 62504 476.536 * * [simplify]: Extracting #8: cost 0 inf + 65174 476.565 * * [simplify]: Extracting #9: cost 0 inf + 63021 476.586 * [simplify]: Simplified to (/ (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) 476.586 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))))) 476.586 * * * * [progress]: [ 619 / 667 ] simplifiying candidate # 476.587 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) 476.587 * * [simplify]: iters left: 6 (16 enodes) 476.592 * * [simplify]: iters left: 5 (65 enodes) 476.603 * * [simplify]: iters left: 4 (99 enodes) 476.621 * * [simplify]: iters left: 3 (143 enodes) 476.673 * * [simplify]: iters left: 2 (239 enodes) 476.742 * * [simplify]: iters left: 1 (403 enodes) 476.865 * * [simplify]: Extracting #0: cost 1 inf + 0 476.865 * * [simplify]: Extracting #1: cost 8 inf + 0 476.865 * * [simplify]: Extracting #2: cost 16 inf + 0 476.865 * * [simplify]: Extracting #3: cost 43 inf + 0 476.865 * * [simplify]: Extracting #4: cost 111 inf + 43 476.866 * * [simplify]: Extracting #5: cost 157 inf + 340 476.867 * * [simplify]: Extracting #6: cost 122 inf + 5574 476.871 * * [simplify]: Extracting #7: cost 55 inf + 21229 476.888 * * [simplify]: Extracting #8: cost 6 inf + 53851 476.907 * * [simplify]: Extracting #9: cost 0 inf + 59737 476.926 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 476.926 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) 476.926 * * * * [progress]: [ 620 / 667 ] simplifiying candidate # 476.927 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) 476.927 * * [simplify]: iters left: 6 (15 enodes) 476.935 * * [simplify]: iters left: 5 (62 enodes) 476.948 * * [simplify]: iters left: 4 (96 enodes) 476.964 * * [simplify]: iters left: 3 (136 enodes) 476.989 * * [simplify]: iters left: 2 (233 enodes) 477.057 * * [simplify]: iters left: 1 (401 enodes) 477.195 * * [simplify]: Extracting #0: cost 1 inf + 0 477.195 * * [simplify]: Extracting #1: cost 7 inf + 0 477.195 * * [simplify]: Extracting #2: cost 14 inf + 0 477.195 * * [simplify]: Extracting #3: cost 42 inf + 1 477.195 * * [simplify]: Extracting #4: cost 117 inf + 84 477.196 * * [simplify]: Extracting #5: cost 166 inf + 382 477.198 * * [simplify]: Extracting #6: cost 131 inf + 5394 477.202 * * [simplify]: Extracting #7: cost 59 inf + 22784 477.221 * * [simplify]: Extracting #8: cost 9 inf + 61631 477.241 * * [simplify]: Extracting #9: cost 0 inf + 68963 477.258 * * [simplify]: Extracting #10: cost 0 inf + 68423 477.269 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 477.269 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 477.269 * * * * [progress]: [ 621 / 667 ] simplifiying candidate # 477.269 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) 477.269 * * [simplify]: iters left: 6 (16 enodes) 477.274 * * [simplify]: iters left: 5 (65 enodes) 477.286 * * [simplify]: iters left: 4 (99 enodes) 477.316 * * [simplify]: iters left: 3 (143 enodes) 477.369 * * [simplify]: iters left: 2 (239 enodes) 477.449 * * [simplify]: iters left: 1 (403 enodes) 477.622 * * [simplify]: Extracting #0: cost 1 inf + 0 477.622 * * [simplify]: Extracting #1: cost 8 inf + 0 477.622 * * [simplify]: Extracting #2: cost 16 inf + 0 477.622 * * [simplify]: Extracting #3: cost 43 inf + 0 477.623 * * [simplify]: Extracting #4: cost 111 inf + 43 477.623 * * [simplify]: Extracting #5: cost 157 inf + 340 477.625 * * [simplify]: Extracting #6: cost 122 inf + 5574 477.628 * * [simplify]: Extracting #7: cost 55 inf + 21229 477.636 * * [simplify]: Extracting #8: cost 6 inf + 53851 477.646 * * [simplify]: Extracting #9: cost 0 inf + 59737 477.658 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 477.658 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) 477.659 * * * * [progress]: [ 622 / 667 ] simplifiying candidate # 477.659 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) 477.659 * * [simplify]: iters left: 6 (15 enodes) 477.667 * * [simplify]: iters left: 5 (62 enodes) 477.691 * * [simplify]: iters left: 4 (96 enodes) 477.720 * * [simplify]: iters left: 3 (136 enodes) 477.767 * * [simplify]: iters left: 2 (233 enodes) 477.847 * * [simplify]: iters left: 1 (401 enodes) 478.014 * * [simplify]: Extracting #0: cost 1 inf + 0 478.014 * * [simplify]: Extracting #1: cost 7 inf + 0 478.014 * * [simplify]: Extracting #2: cost 14 inf + 0 478.015 * * [simplify]: Extracting #3: cost 42 inf + 1 478.015 * * [simplify]: Extracting #4: cost 117 inf + 84 478.016 * * [simplify]: Extracting #5: cost 166 inf + 382 478.017 * * [simplify]: Extracting #6: cost 131 inf + 5394 478.021 * * [simplify]: Extracting #7: cost 59 inf + 22784 478.036 * * [simplify]: Extracting #8: cost 9 inf + 61631 478.057 * * [simplify]: Extracting #9: cost 0 inf + 68963 478.078 * * [simplify]: Extracting #10: cost 0 inf + 68423 478.098 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 478.098 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 478.099 * * * * [progress]: [ 623 / 667 ] simplifiying candidate # 478.099 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) 478.099 * * [simplify]: iters left: 6 (16 enodes) 478.108 * * [simplify]: iters left: 5 (65 enodes) 478.129 * * [simplify]: iters left: 4 (99 enodes) 478.156 * * [simplify]: iters left: 3 (143 enodes) 478.187 * * [simplify]: iters left: 2 (239 enodes) 478.239 * * [simplify]: iters left: 1 (403 enodes) 478.374 * * [simplify]: Extracting #0: cost 1 inf + 0 478.374 * * [simplify]: Extracting #1: cost 8 inf + 0 478.374 * * [simplify]: Extracting #2: cost 16 inf + 0 478.374 * * [simplify]: Extracting #3: cost 43 inf + 0 478.375 * * [simplify]: Extracting #4: cost 111 inf + 43 478.376 * * [simplify]: Extracting #5: cost 157 inf + 340 478.379 * * [simplify]: Extracting #6: cost 122 inf + 5574 478.386 * * [simplify]: Extracting #7: cost 55 inf + 21229 478.403 * * [simplify]: Extracting #8: cost 6 inf + 53851 478.416 * * [simplify]: Extracting #9: cost 0 inf + 59737 478.426 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 478.426 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) 478.427 * * * * [progress]: [ 624 / 667 ] simplifiying candidate # 478.427 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) 478.427 * * [simplify]: iters left: 6 (15 enodes) 478.431 * * [simplify]: iters left: 5 (62 enodes) 478.442 * * [simplify]: iters left: 4 (96 enodes) 478.475 * * [simplify]: iters left: 3 (136 enodes) 478.522 * * [simplify]: iters left: 2 (233 enodes) 478.605 * * [simplify]: iters left: 1 (401 enodes) 478.752 * * [simplify]: Extracting #0: cost 1 inf + 0 478.752 * * [simplify]: Extracting #1: cost 7 inf + 0 478.752 * * [simplify]: Extracting #2: cost 14 inf + 0 478.752 * * [simplify]: Extracting #3: cost 42 inf + 1 478.753 * * [simplify]: Extracting #4: cost 117 inf + 84 478.754 * * [simplify]: Extracting #5: cost 166 inf + 382 478.758 * * [simplify]: Extracting #6: cost 131 inf + 5394 478.766 * * [simplify]: Extracting #7: cost 59 inf + 22784 478.784 * * [simplify]: Extracting #8: cost 9 inf + 61631 478.802 * * [simplify]: Extracting #9: cost 0 inf + 68963 478.813 * * [simplify]: Extracting #10: cost 0 inf + 68423 478.823 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 478.823 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 478.824 * * * * [progress]: [ 625 / 667 ] simplifiying candidate # 478.824 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) 478.824 * * [simplify]: iters left: 6 (16 enodes) 478.830 * * [simplify]: iters left: 5 (65 enodes) 478.850 * * [simplify]: iters left: 4 (100 enodes) 478.880 * * [simplify]: iters left: 3 (144 enodes) 478.930 * * [simplify]: iters left: 2 (240 enodes) 479.007 * * [simplify]: iters left: 1 (407 enodes) 479.186 * * [simplify]: Extracting #0: cost 1 inf + 0 479.186 * * [simplify]: Extracting #1: cost 8 inf + 0 479.186 * * [simplify]: Extracting #2: cost 17 inf + 0 479.186 * * [simplify]: Extracting #3: cost 48 inf + 0 479.187 * * [simplify]: Extracting #4: cost 131 inf + 43 479.187 * * [simplify]: Extracting #5: cost 165 inf + 546 479.189 * * [simplify]: Extracting #6: cost 121 inf + 9430 479.194 * * [simplify]: Extracting #7: cost 47 inf + 30299 479.204 * * [simplify]: Extracting #8: cost 3 inf + 66257 479.219 * * [simplify]: Extracting #9: cost 0 inf + 65166 479.239 * * [simplify]: Extracting #10: cost 0 inf + 64996 479.260 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (sqrt (sqrt k))))) 479.260 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (sqrt (sqrt k))))))) 479.260 * * * * [progress]: [ 626 / 667 ] simplifiying candidate # 479.260 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k))))) 479.261 * * [simplify]: iters left: 6 (17 enodes) 479.269 * * [simplify]: iters left: 5 (68 enodes) 479.294 * * [simplify]: iters left: 4 (103 enodes) 479.325 * * [simplify]: iters left: 3 (147 enodes) 479.356 * * [simplify]: iters left: 2 (243 enodes) 479.425 * * [simplify]: iters left: 1 (412 enodes) 479.597 * * [simplify]: Extracting #0: cost 1 inf + 0 479.598 * * [simplify]: Extracting #1: cost 8 inf + 0 479.598 * * [simplify]: Extracting #2: cost 18 inf + 0 479.598 * * [simplify]: Extracting #3: cost 53 inf + 0 479.599 * * [simplify]: Extracting #4: cost 140 inf + 43 479.605 * * [simplify]: Extracting #5: cost 167 inf + 1519 479.609 * * [simplify]: Extracting #6: cost 98 inf + 11843 479.623 * * [simplify]: Extracting #7: cost 33 inf + 44162 479.637 * * [simplify]: Extracting #8: cost 0 inf + 76462 479.648 * * [simplify]: Extracting #9: cost 0 inf + 73933 479.660 * * [simplify]: Extracting #10: cost 0 inf + 73209 479.672 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 479.672 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) 479.672 * * * * [progress]: [ 627 / 667 ] simplifiying candidate # 479.672 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k))))) 479.673 * * [simplify]: iters left: 6 (18 enodes) 479.677 * * [simplify]: iters left: 5 (71 enodes) 479.690 * * [simplify]: iters left: 4 (106 enodes) 479.709 * * [simplify]: iters left: 3 (153 enodes) 479.736 * * [simplify]: iters left: 2 (251 enodes) 479.813 * * [simplify]: iters left: 1 (421 enodes) 479.974 * * [simplify]: Extracting #0: cost 1 inf + 0 479.974 * * [simplify]: Extracting #1: cost 8 inf + 0 479.974 * * [simplify]: Extracting #2: cost 18 inf + 0 479.975 * * [simplify]: Extracting #3: cost 52 inf + 0 479.975 * * [simplify]: Extracting #4: cost 136 inf + 43 479.977 * * [simplify]: Extracting #5: cost 181 inf + 1714 479.982 * * [simplify]: Extracting #6: cost 112 inf + 12165 480.000 * * [simplify]: Extracting #7: cost 28 inf + 47399 480.020 * * [simplify]: Extracting #8: cost 3 inf + 66025 480.042 * * [simplify]: Extracting #9: cost 0 inf + 67743 480.053 * [simplify]: Simplified to (/ (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 480.054 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 480.054 * * * * [progress]: [ 628 / 667 ] simplifiying candidate # 480.054 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) 480.054 * * [simplify]: iters left: 6 (16 enodes) 480.059 * * [simplify]: iters left: 5 (65 enodes) 480.069 * * [simplify]: iters left: 4 (100 enodes) 480.090 * * [simplify]: iters left: 3 (144 enodes) 480.140 * * [simplify]: iters left: 2 (240 enodes) 480.197 * * [simplify]: iters left: 1 (407 enodes) 480.364 * * [simplify]: Extracting #0: cost 1 inf + 0 480.364 * * [simplify]: Extracting #1: cost 8 inf + 0 480.364 * * [simplify]: Extracting #2: cost 17 inf + 0 480.364 * * [simplify]: Extracting #3: cost 48 inf + 0 480.365 * * [simplify]: Extracting #4: cost 131 inf + 43 480.366 * * [simplify]: Extracting #5: cost 165 inf + 546 480.368 * * [simplify]: Extracting #6: cost 121 inf + 9270 480.373 * * [simplify]: Extracting #7: cost 47 inf + 29979 480.383 * * [simplify]: Extracting #8: cost 3 inf + 65937 480.393 * * [simplify]: Extracting #9: cost 0 inf + 64846 480.413 * * [simplify]: Extracting #10: cost 0 inf + 64676 480.438 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k))))) 480.438 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k))))))) 480.438 * * * * [progress]: [ 629 / 667 ] simplifiying candidate # 480.439 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) 480.439 * * [simplify]: iters left: 6 (15 enodes) 480.447 * * [simplify]: iters left: 5 (62 enodes) 480.467 * * [simplify]: iters left: 4 (97 enodes) 480.485 * * [simplify]: iters left: 3 (140 enodes) 480.517 * * [simplify]: iters left: 2 (242 enodes) 480.571 * * [simplify]: iters left: 1 (418 enodes) 480.736 * * [simplify]: Extracting #0: cost 1 inf + 0 480.737 * * [simplify]: Extracting #1: cost 7 inf + 0 480.737 * * [simplify]: Extracting #2: cost 15 inf + 0 480.737 * * [simplify]: Extracting #3: cost 42 inf + 1 480.742 * * [simplify]: Extracting #4: cost 130 inf + 84 480.743 * * [simplify]: Extracting #5: cost 168 inf + 592 480.749 * * [simplify]: Extracting #6: cost 76 inf + 22835 480.767 * * [simplify]: Extracting #7: cost 13 inf + 53229 480.791 * * [simplify]: Extracting #8: cost 0 inf + 62227 480.815 * * [simplify]: Extracting #9: cost 0 inf + 61363 480.829 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 480.829 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 480.829 * * * * [progress]: [ 630 / 667 ] simplifiying candidate # 480.829 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) 480.829 * * [simplify]: iters left: 6 (16 enodes) 480.834 * * [simplify]: iters left: 5 (65 enodes) 480.845 * * [simplify]: iters left: 4 (100 enodes) 480.866 * * [simplify]: iters left: 3 (144 enodes) 480.898 * * [simplify]: iters left: 2 (240 enodes) 480.965 * * [simplify]: iters left: 1 (407 enodes) 481.111 * * [simplify]: Extracting #0: cost 1 inf + 0 481.111 * * [simplify]: Extracting #1: cost 8 inf + 0 481.111 * * [simplify]: Extracting #2: cost 17 inf + 0 481.112 * * [simplify]: Extracting #3: cost 48 inf + 0 481.112 * * [simplify]: Extracting #4: cost 131 inf + 43 481.114 * * [simplify]: Extracting #5: cost 165 inf + 546 481.118 * * [simplify]: Extracting #6: cost 121 inf + 9270 481.128 * * [simplify]: Extracting #7: cost 47 inf + 29979 481.147 * * [simplify]: Extracting #8: cost 3 inf + 65937 481.157 * * [simplify]: Extracting #9: cost 0 inf + 64846 481.171 * * [simplify]: Extracting #10: cost 0 inf + 64676 481.188 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k))))) 481.188 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k))))))) 481.188 * * * * [progress]: [ 631 / 667 ] simplifiying candidate # 481.189 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) 481.189 * * [simplify]: iters left: 6 (15 enodes) 481.194 * * [simplify]: iters left: 5 (62 enodes) 481.205 * * [simplify]: iters left: 4 (97 enodes) 481.221 * * [simplify]: iters left: 3 (140 enodes) 481.261 * * [simplify]: iters left: 2 (242 enodes) 481.322 * * [simplify]: iters left: 1 (418 enodes) 481.491 * * [simplify]: Extracting #0: cost 1 inf + 0 481.491 * * [simplify]: Extracting #1: cost 7 inf + 0 481.491 * * [simplify]: Extracting #2: cost 15 inf + 0 481.491 * * [simplify]: Extracting #3: cost 42 inf + 1 481.492 * * [simplify]: Extracting #4: cost 130 inf + 84 481.492 * * [simplify]: Extracting #5: cost 168 inf + 592 481.495 * * [simplify]: Extracting #6: cost 76 inf + 22835 481.510 * * [simplify]: Extracting #7: cost 13 inf + 53229 481.530 * * [simplify]: Extracting #8: cost 0 inf + 62227 481.542 * * [simplify]: Extracting #9: cost 0 inf + 61363 481.555 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 481.555 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 481.555 * * * * [progress]: [ 632 / 667 ] simplifiying candidate # 481.555 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) 481.555 * * [simplify]: iters left: 6 (16 enodes) 481.561 * * [simplify]: iters left: 5 (65 enodes) 481.581 * * [simplify]: iters left: 4 (100 enodes) 481.616 * * [simplify]: iters left: 3 (144 enodes) 481.665 * * [simplify]: iters left: 2 (240 enodes) 481.750 * * [simplify]: iters left: 1 (407 enodes) 481.872 * * [simplify]: Extracting #0: cost 1 inf + 0 481.872 * * [simplify]: Extracting #1: cost 8 inf + 0 481.872 * * [simplify]: Extracting #2: cost 17 inf + 0 481.872 * * [simplify]: Extracting #3: cost 48 inf + 0 481.873 * * [simplify]: Extracting #4: cost 131 inf + 43 481.874 * * [simplify]: Extracting #5: cost 165 inf + 546 481.878 * * [simplify]: Extracting #6: cost 121 inf + 9270 481.887 * * [simplify]: Extracting #7: cost 47 inf + 29979 481.907 * * [simplify]: Extracting #8: cost 3 inf + 65937 481.932 * * [simplify]: Extracting #9: cost 0 inf + 64846 481.950 * * [simplify]: Extracting #10: cost 0 inf + 64676 481.961 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k))))) 481.961 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k))))))) 481.961 * * * * [progress]: [ 633 / 667 ] simplifiying candidate # 481.961 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) 481.962 * * [simplify]: iters left: 6 (15 enodes) 481.966 * * [simplify]: iters left: 5 (62 enodes) 481.977 * * [simplify]: iters left: 4 (97 enodes) 481.993 * * [simplify]: iters left: 3 (140 enodes) 482.028 * * [simplify]: iters left: 2 (242 enodes) 482.080 * * [simplify]: iters left: 1 (418 enodes) 482.234 * * [simplify]: Extracting #0: cost 1 inf + 0 482.235 * * [simplify]: Extracting #1: cost 7 inf + 0 482.235 * * [simplify]: Extracting #2: cost 15 inf + 0 482.235 * * [simplify]: Extracting #3: cost 42 inf + 1 482.235 * * [simplify]: Extracting #4: cost 130 inf + 84 482.236 * * [simplify]: Extracting #5: cost 168 inf + 592 482.239 * * [simplify]: Extracting #6: cost 76 inf + 22835 482.257 * * [simplify]: Extracting #7: cost 13 inf + 53229 482.281 * * [simplify]: Extracting #8: cost 0 inf + 62227 482.302 * * [simplify]: Extracting #9: cost 0 inf + 61363 482.314 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 482.314 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 482.314 * * * * [progress]: [ 634 / 667 ] simplifiying candidate # 482.314 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k))))) 482.315 * * [simplify]: iters left: 6 (15 enodes) 482.319 * * [simplify]: iters left: 5 (62 enodes) 482.333 * * [simplify]: iters left: 4 (100 enodes) 482.356 * * [simplify]: iters left: 3 (163 enodes) 482.397 * * [simplify]: iters left: 2 (323 enodes) 482.488 * * [simplify]: Extracting #0: cost 1 inf + 0 482.488 * * [simplify]: Extracting #1: cost 56 inf + 0 482.488 * * [simplify]: Extracting #2: cost 150 inf + 0 482.489 * * [simplify]: Extracting #3: cost 209 inf + 2 482.490 * * [simplify]: Extracting #4: cost 192 inf + 4998 482.497 * * [simplify]: Extracting #5: cost 128 inf + 25961 482.513 * * [simplify]: Extracting #6: cost 25 inf + 96122 482.537 * * [simplify]: Extracting #7: cost 0 inf + 117262 482.560 * * [simplify]: Extracting #8: cost 0 inf + 116607 482.576 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 482.576 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 482.576 * * * * [progress]: [ 635 / 667 ] simplifiying candidate # 482.576 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k))))) 482.576 * * [simplify]: iters left: 6 (16 enodes) 482.581 * * [simplify]: iters left: 5 (65 enodes) 482.594 * * [simplify]: iters left: 4 (103 enodes) 482.611 * * [simplify]: iters left: 3 (166 enodes) 482.665 * * [simplify]: iters left: 2 (326 enodes) 482.776 * * [simplify]: Extracting #0: cost 1 inf + 0 482.776 * * [simplify]: Extracting #1: cost 56 inf + 0 482.777 * * [simplify]: Extracting #2: cost 152 inf + 0 482.778 * * [simplify]: Extracting #3: cost 215 inf + 2 482.781 * * [simplify]: Extracting #4: cost 196 inf + 4669 482.788 * * [simplify]: Extracting #5: cost 122 inf + 31159 482.807 * * [simplify]: Extracting #6: cost 28 inf + 96899 482.823 * * [simplify]: Extracting #7: cost 0 inf + 120289 482.844 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k))))) 482.844 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k))))))) 482.845 * * * * [progress]: [ 636 / 667 ] simplifiying candidate # 482.845 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k))))) 482.845 * * [simplify]: iters left: 6 (17 enodes) 482.858 * * [simplify]: iters left: 5 (68 enodes) 482.880 * * [simplify]: iters left: 4 (106 enodes) 482.913 * * [simplify]: iters left: 3 (169 enodes) 482.974 * * [simplify]: iters left: 2 (329 enodes) 483.079 * * [simplify]: Extracting #0: cost 1 inf + 0 483.079 * * [simplify]: Extracting #1: cost 56 inf + 0 483.080 * * [simplify]: Extracting #2: cost 153 inf + 0 483.081 * * [simplify]: Extracting #3: cost 217 inf + 2 483.082 * * [simplify]: Extracting #4: cost 203 inf + 2861 483.084 * * [simplify]: Extracting #5: cost 149 inf + 16415 483.101 * * [simplify]: Extracting #6: cost 44 inf + 86642 483.135 * * [simplify]: Extracting #7: cost 0 inf + 124276 483.171 * * [simplify]: Extracting #8: cost 0 inf + 123181 483.194 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 483.194 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 483.194 * * * * [progress]: [ 637 / 667 ] simplifiying candidate # 483.194 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) 483.194 * * [simplify]: iters left: 6 (15 enodes) 483.198 * * [simplify]: iters left: 5 (62 enodes) 483.214 * * [simplify]: iters left: 4 (100 enodes) 483.248 * * [simplify]: iters left: 3 (163 enodes) 483.307 * * [simplify]: iters left: 2 (323 enodes) 483.443 * * [simplify]: Extracting #0: cost 1 inf + 0 483.443 * * [simplify]: Extracting #1: cost 56 inf + 0 483.444 * * [simplify]: Extracting #2: cost 150 inf + 0 483.445 * * [simplify]: Extracting #3: cost 209 inf + 2 483.448 * * [simplify]: Extracting #4: cost 192 inf + 4798 483.455 * * [simplify]: Extracting #5: cost 128 inf + 25281 483.479 * * [simplify]: Extracting #6: cost 25 inf + 93522 483.509 * * [simplify]: Extracting #7: cost 0 inf + 113902 483.529 * * [simplify]: Extracting #8: cost 0 inf + 113247 483.545 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 483.545 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 483.545 * * * * [progress]: [ 638 / 667 ] simplifiying candidate # 483.545 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 483.545 * * [simplify]: iters left: 6 (14 enodes) 483.550 * * [simplify]: iters left: 5 (59 enodes) 483.565 * * [simplify]: iters left: 4 (100 enodes) 483.590 * * [simplify]: iters left: 3 (151 enodes) 483.619 * * [simplify]: iters left: 2 (276 enodes) 483.690 * * [simplify]: Extracting #0: cost 1 inf + 0 483.690 * * [simplify]: Extracting #1: cost 42 inf + 0 483.690 * * [simplify]: Extracting #2: cost 117 inf + 0 483.691 * * [simplify]: Extracting #3: cost 172 inf + 125 483.694 * * [simplify]: Extracting #4: cost 177 inf + 383 483.696 * * [simplify]: Extracting #5: cost 142 inf + 6796 483.699 * * [simplify]: Extracting #6: cost 96 inf + 18067 483.708 * * [simplify]: Extracting #7: cost 16 inf + 76438 483.719 * * [simplify]: Extracting #8: cost 0 inf + 88893 483.731 * * [simplify]: Extracting #9: cost 0 inf + 87601 483.752 * * [simplify]: Extracting #10: cost 0 inf + 87470 483.771 * [simplify]: Simplified to (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))) 483.771 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) 483.772 * * * * [progress]: [ 639 / 667 ] simplifiying candidate # 483.772 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) 483.773 * * [simplify]: iters left: 6 (15 enodes) 483.777 * * [simplify]: iters left: 5 (62 enodes) 483.788 * * [simplify]: iters left: 4 (100 enodes) 483.812 * * [simplify]: iters left: 3 (163 enodes) 483.871 * * [simplify]: iters left: 2 (323 enodes) 483.974 * * [simplify]: Extracting #0: cost 1 inf + 0 483.975 * * [simplify]: Extracting #1: cost 56 inf + 0 483.975 * * [simplify]: Extracting #2: cost 150 inf + 0 483.976 * * [simplify]: Extracting #3: cost 209 inf + 2 483.977 * * [simplify]: Extracting #4: cost 192 inf + 4798 483.981 * * [simplify]: Extracting #5: cost 128 inf + 25281 483.993 * * [simplify]: Extracting #6: cost 25 inf + 93522 484.012 * * [simplify]: Extracting #7: cost 0 inf + 113902 484.040 * * [simplify]: Extracting #8: cost 0 inf + 113247 484.058 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 484.058 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 484.058 * * * * [progress]: [ 640 / 667 ] simplifiying candidate # 484.058 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 484.058 * * [simplify]: iters left: 6 (14 enodes) 484.063 * * [simplify]: iters left: 5 (59 enodes) 484.073 * * [simplify]: iters left: 4 (100 enodes) 484.098 * * [simplify]: iters left: 3 (151 enodes) 484.132 * * [simplify]: iters left: 2 (276 enodes) 484.215 * * [simplify]: Extracting #0: cost 1 inf + 0 484.216 * * [simplify]: Extracting #1: cost 42 inf + 0 484.217 * * [simplify]: Extracting #2: cost 117 inf + 0 484.218 * * [simplify]: Extracting #3: cost 172 inf + 125 484.219 * * [simplify]: Extracting #4: cost 177 inf + 383 484.222 * * [simplify]: Extracting #5: cost 142 inf + 6796 484.227 * * [simplify]: Extracting #6: cost 96 inf + 18067 484.245 * * [simplify]: Extracting #7: cost 16 inf + 76438 484.269 * * [simplify]: Extracting #8: cost 0 inf + 88893 484.293 * * [simplify]: Extracting #9: cost 0 inf + 87601 484.316 * * [simplify]: Extracting #10: cost 0 inf + 87470 484.341 * [simplify]: Simplified to (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))) 484.341 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt 1)) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) 484.341 * * * * [progress]: [ 641 / 667 ] simplifiying candidate # 484.341 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) 484.342 * * [simplify]: iters left: 6 (15 enodes) 484.349 * * [simplify]: iters left: 5 (62 enodes) 484.373 * * [simplify]: iters left: 4 (100 enodes) 484.396 * * [simplify]: iters left: 3 (163 enodes) 484.429 * * [simplify]: iters left: 2 (323 enodes) 484.525 * * [simplify]: Extracting #0: cost 1 inf + 0 484.525 * * [simplify]: Extracting #1: cost 56 inf + 0 484.526 * * [simplify]: Extracting #2: cost 150 inf + 0 484.526 * * [simplify]: Extracting #3: cost 209 inf + 2 484.527 * * [simplify]: Extracting #4: cost 192 inf + 4798 484.531 * * [simplify]: Extracting #5: cost 128 inf + 25281 484.543 * * [simplify]: Extracting #6: cost 25 inf + 93522 484.576 * * [simplify]: Extracting #7: cost 0 inf + 113902 484.593 * * [simplify]: Extracting #8: cost 0 inf + 113247 484.620 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 484.621 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 484.621 * * * * [progress]: [ 642 / 667 ] simplifiying candidate # 484.621 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 484.621 * * [simplify]: iters left: 6 (14 enodes) 484.625 * * [simplify]: iters left: 5 (59 enodes) 484.635 * * [simplify]: iters left: 4 (100 enodes) 484.655 * * [simplify]: iters left: 3 (151 enodes) 484.684 * * [simplify]: iters left: 2 (276 enodes) 484.774 * * [simplify]: Extracting #0: cost 1 inf + 0 484.774 * * [simplify]: Extracting #1: cost 42 inf + 0 484.775 * * [simplify]: Extracting #2: cost 117 inf + 0 484.776 * * [simplify]: Extracting #3: cost 172 inf + 125 484.778 * * [simplify]: Extracting #4: cost 177 inf + 383 484.780 * * [simplify]: Extracting #5: cost 142 inf + 6796 484.786 * * [simplify]: Extracting #6: cost 96 inf + 18067 484.804 * * [simplify]: Extracting #7: cost 16 inf + 76438 484.817 * * [simplify]: Extracting #8: cost 0 inf + 88893 484.829 * * [simplify]: Extracting #9: cost 0 inf + 87601 484.841 * * [simplify]: Extracting #10: cost 0 inf + 87470 484.863 * [simplify]: Simplified to (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))) 484.863 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) 484.864 * * * * [progress]: [ 643 / 667 ] simplifiying candidate # 484.864 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k))))) 484.865 * * [simplify]: iters left: 6 (16 enodes) 484.877 * * [simplify]: iters left: 5 (68 enodes) 484.899 * * [simplify]: iters left: 4 (110 enodes) 484.934 * * [simplify]: iters left: 3 (181 enodes) 484.998 * * [simplify]: iters left: 2 (352 enodes) 485.122 * * [simplify]: Extracting #0: cost 1 inf + 0 485.122 * * [simplify]: Extracting #1: cost 56 inf + 0 485.123 * * [simplify]: Extracting #2: cost 152 inf + 0 485.124 * * [simplify]: Extracting #3: cost 220 inf + 2 485.125 * * [simplify]: Extracting #4: cost 221 inf + 1200 485.127 * * [simplify]: Extracting #5: cost 175 inf + 10217 485.134 * * [simplify]: Extracting #6: cost 74 inf + 63227 485.149 * * [simplify]: Extracting #7: cost 9 inf + 114815 485.166 * * [simplify]: Extracting #8: cost 0 inf + 121064 485.183 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 485.183 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 485.183 * * * * [progress]: [ 644 / 667 ] simplifiying candidate # 485.183 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k))))) 485.183 * * [simplify]: iters left: 6 (17 enodes) 485.188 * * [simplify]: iters left: 5 (71 enodes) 485.200 * * [simplify]: iters left: 4 (113 enodes) 485.221 * * [simplify]: iters left: 3 (184 enodes) 485.264 * * [simplify]: iters left: 2 (359 enodes) 485.398 * * [simplify]: Extracting #0: cost 1 inf + 0 485.399 * * [simplify]: Extracting #1: cost 56 inf + 0 485.399 * * [simplify]: Extracting #2: cost 151 inf + 0 485.400 * * [simplify]: Extracting #3: cost 223 inf + 2 485.401 * * [simplify]: Extracting #4: cost 209 inf + 4492 485.408 * * [simplify]: Extracting #5: cost 132 inf + 29253 485.421 * * [simplify]: Extracting #6: cost 34 inf + 94040 485.455 * * [simplify]: Extracting #7: cost 0 inf + 123537 485.477 * * [simplify]: Extracting #8: cost 0 inf + 123292 485.498 * * [simplify]: Extracting #9: cost 0 inf + 123133 485.532 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 485.532 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 485.532 * * * * [progress]: [ 645 / 667 ] simplifiying candidate # 485.533 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k))))) 485.533 * * [simplify]: iters left: 6 (18 enodes) 485.546 * * [simplify]: iters left: 5 (74 enodes) 485.568 * * [simplify]: iters left: 4 (116 enodes) 485.589 * * [simplify]: iters left: 3 (187 enodes) 485.647 * * [simplify]: iters left: 2 (362 enodes) 485.809 * * [simplify]: Extracting #0: cost 1 inf + 0 485.809 * * [simplify]: Extracting #1: cost 56 inf + 0 485.810 * * [simplify]: Extracting #2: cost 152 inf + 0 485.811 * * [simplify]: Extracting #3: cost 225 inf + 2 485.814 * * [simplify]: Extracting #4: cost 217 inf + 2027 485.819 * * [simplify]: Extracting #5: cost 161 inf + 10960 485.833 * * [simplify]: Extracting #6: cost 76 inf + 61359 485.865 * * [simplify]: Extracting #7: cost 8 inf + 121286 485.888 * * [simplify]: Extracting #8: cost 0 inf + 127796 485.906 * * [simplify]: Extracting #9: cost 0 inf + 127534 485.943 * [simplify]: Simplified to (/ (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k))) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 485.943 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k))) (pow (* (* n 2) PI) (/ (- 1 k) 4))))) 485.944 * * * * [progress]: [ 646 / 667 ] simplifiying candidate # 485.944 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k))))) 485.944 * * [simplify]: iters left: 6 (16 enodes) 485.949 * * [simplify]: iters left: 5 (68 enodes) 485.961 * * [simplify]: iters left: 4 (110 enodes) 485.987 * * [simplify]: iters left: 3 (181 enodes) 486.054 * * [simplify]: iters left: 2 (352 enodes) 486.167 * * [simplify]: Extracting #0: cost 1 inf + 0 486.168 * * [simplify]: Extracting #1: cost 56 inf + 0 486.168 * * [simplify]: Extracting #2: cost 152 inf + 0 486.169 * * [simplify]: Extracting #3: cost 220 inf + 2 486.170 * * [simplify]: Extracting #4: cost 221 inf + 1080 486.172 * * [simplify]: Extracting #5: cost 175 inf + 9977 486.180 * * [simplify]: Extracting #6: cost 74 inf + 61747 486.202 * * [simplify]: Extracting #7: cost 9 inf + 111655 486.235 * * [simplify]: Extracting #8: cost 0 inf + 117704 486.252 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 486.252 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 486.252 * * * * [progress]: [ 647 / 667 ] simplifiying candidate # 486.253 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) 486.253 * * [simplify]: iters left: 6 (15 enodes) 486.260 * * [simplify]: iters left: 5 (65 enodes) 486.271 * * [simplify]: iters left: 4 (106 enodes) 486.295 * * [simplify]: iters left: 3 (167 enodes) 486.352 * * [simplify]: iters left: 2 (318 enodes) 486.489 * * [simplify]: Extracting #0: cost 1 inf + 0 486.490 * * [simplify]: Extracting #1: cost 42 inf + 0 486.490 * * [simplify]: Extracting #2: cost 116 inf + 0 486.491 * * [simplify]: Extracting #3: cost 174 inf + 125 486.493 * * [simplify]: Extracting #4: cost 178 inf + 842 486.496 * * [simplify]: Extracting #5: cost 140 inf + 7010 486.506 * * [simplify]: Extracting #6: cost 67 inf + 35406 486.527 * * [simplify]: Extracting #7: cost 11 inf + 79150 486.540 * * [simplify]: Extracting #8: cost 0 inf + 89093 486.555 * [simplify]: Simplified to (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 486.555 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 4))))) 486.555 * * * * [progress]: [ 648 / 667 ] simplifiying candidate # 486.555 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k))))) 486.556 * * [simplify]: iters left: 6 (16 enodes) 486.565 * * [simplify]: iters left: 5 (68 enodes) 486.586 * * [simplify]: iters left: 4 (110 enodes) 486.618 * * [simplify]: iters left: 3 (181 enodes) 486.661 * * [simplify]: iters left: 2 (352 enodes) 486.782 * * [simplify]: Extracting #0: cost 1 inf + 0 486.782 * * [simplify]: Extracting #1: cost 56 inf + 0 486.783 * * [simplify]: Extracting #2: cost 152 inf + 0 486.783 * * [simplify]: Extracting #3: cost 220 inf + 2 486.784 * * [simplify]: Extracting #4: cost 221 inf + 1080 486.787 * * [simplify]: Extracting #5: cost 175 inf + 9977 486.794 * * [simplify]: Extracting #6: cost 74 inf + 61747 486.812 * * [simplify]: Extracting #7: cost 9 inf + 111655 486.850 * * [simplify]: Extracting #8: cost 0 inf + 117704 486.884 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 486.884 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 486.884 * * * * [progress]: [ 649 / 667 ] simplifiying candidate # 486.885 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) 486.885 * * [simplify]: iters left: 6 (15 enodes) 486.894 * * [simplify]: iters left: 5 (65 enodes) 486.915 * * [simplify]: iters left: 4 (106 enodes) 486.949 * * [simplify]: iters left: 3 (167 enodes) 487.010 * * [simplify]: iters left: 2 (318 enodes) 487.103 * * [simplify]: Extracting #0: cost 1 inf + 0 487.104 * * [simplify]: Extracting #1: cost 42 inf + 0 487.104 * * [simplify]: Extracting #2: cost 116 inf + 0 487.105 * * [simplify]: Extracting #3: cost 174 inf + 125 487.107 * * [simplify]: Extracting #4: cost 178 inf + 842 487.110 * * [simplify]: Extracting #5: cost 140 inf + 7010 487.121 * * [simplify]: Extracting #6: cost 67 inf + 35406 487.143 * * [simplify]: Extracting #7: cost 11 inf + 79150 487.168 * * [simplify]: Extracting #8: cost 0 inf + 89093 487.194 * [simplify]: Simplified to (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 487.194 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 4))))) 487.195 * * * * [progress]: [ 650 / 667 ] simplifiying candidate # 487.195 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k))))) 487.195 * * [simplify]: iters left: 6 (16 enodes) 487.202 * * [simplify]: iters left: 5 (68 enodes) 487.214 * * [simplify]: iters left: 4 (110 enodes) 487.237 * * [simplify]: iters left: 3 (181 enodes) 487.276 * * [simplify]: iters left: 2 (352 enodes) 487.364 * * [simplify]: Extracting #0: cost 1 inf + 0 487.364 * * [simplify]: Extracting #1: cost 56 inf + 0 487.365 * * [simplify]: Extracting #2: cost 152 inf + 0 487.367 * * [simplify]: Extracting #3: cost 220 inf + 2 487.369 * * [simplify]: Extracting #4: cost 221 inf + 1080 487.373 * * [simplify]: Extracting #5: cost 175 inf + 9977 487.381 * * [simplify]: Extracting #6: cost 74 inf + 61747 487.400 * * [simplify]: Extracting #7: cost 9 inf + 111655 487.419 * * [simplify]: Extracting #8: cost 0 inf + 117704 487.437 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 487.437 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 487.437 * * * * [progress]: [ 651 / 667 ] simplifiying candidate # 487.437 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) 487.437 * * [simplify]: iters left: 6 (15 enodes) 487.442 * * [simplify]: iters left: 5 (65 enodes) 487.453 * * [simplify]: iters left: 4 (106 enodes) 487.483 * * [simplify]: iters left: 3 (167 enodes) 487.518 * * [simplify]: iters left: 2 (318 enodes) 487.646 * * [simplify]: Extracting #0: cost 1 inf + 0 487.646 * * [simplify]: Extracting #1: cost 42 inf + 0 487.647 * * [simplify]: Extracting #2: cost 116 inf + 0 487.647 * * [simplify]: Extracting #3: cost 174 inf + 125 487.648 * * [simplify]: Extracting #4: cost 178 inf + 842 487.650 * * [simplify]: Extracting #5: cost 140 inf + 7010 487.655 * * [simplify]: Extracting #6: cost 67 inf + 35406 487.669 * * [simplify]: Extracting #7: cost 11 inf + 79150 487.695 * * [simplify]: Extracting #8: cost 0 inf + 89093 487.720 * [simplify]: Simplified to (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 487.720 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 4))))) 487.720 * * * * [progress]: [ 652 / 667 ] simplifiying candidate # 487.720 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 487.725 * * [simplify]: iters left: 6 (14 enodes) 487.733 * * [simplify]: iters left: 5 (59 enodes) 487.753 * * [simplify]: iters left: 4 (100 enodes) 487.784 * * [simplify]: iters left: 3 (151 enodes) 487.835 * * [simplify]: iters left: 2 (276 enodes) 487.926 * * [simplify]: Extracting #0: cost 1 inf + 0 487.927 * * [simplify]: Extracting #1: cost 42 inf + 0 487.927 * * [simplify]: Extracting #2: cost 117 inf + 0 487.928 * * [simplify]: Extracting #3: cost 172 inf + 125 487.930 * * [simplify]: Extracting #4: cost 177 inf + 383 487.931 * * [simplify]: Extracting #5: cost 142 inf + 6796 487.934 * * [simplify]: Extracting #6: cost 96 inf + 18067 487.943 * * [simplify]: Extracting #7: cost 16 inf + 76438 487.955 * * [simplify]: Extracting #8: cost 0 inf + 88893 487.976 * * [simplify]: Extracting #9: cost 0 inf + 87601 487.987 * * [simplify]: Extracting #10: cost 0 inf + 87470 487.999 * [simplify]: Simplified to (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))) 487.999 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) 488.000 * * * * [progress]: [ 653 / 667 ] simplifiying candidate # 488.000 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ 1 (sqrt (sqrt k)))) 488.000 * * [simplify]: iters left: 6 (6 enodes) 488.002 * * [simplify]: iters left: 5 (22 enodes) 488.006 * * [simplify]: iters left: 4 (25 enodes) 488.010 * * [simplify]: iters left: 3 (31 enodes) 488.015 * * [simplify]: iters left: 2 (32 enodes) 488.022 * * [simplify]: Extracting #0: cost 1 inf + 0 488.022 * * [simplify]: Extracting #1: cost 6 inf + 0 488.022 * * [simplify]: Extracting #2: cost 6 inf + 2 488.022 * * [simplify]: Extracting #3: cost 3 inf + 205 488.023 * * [simplify]: Extracting #4: cost 1 inf + 368 488.023 * * [simplify]: Extracting #5: cost 0 inf + 490 488.023 * [simplify]: Simplified to (sqrt k) 488.023 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 488.023 * * * * [progress]: [ 654 / 667 ] simplifiying candidate # 488.024 * [simplify]: Simplifying (* (sqrt (sqrt k)) (sqrt (sqrt k))) 488.024 * * [simplify]: iters left: 4 (4 enodes) 488.025 * * [simplify]: iters left: 3 (10 enodes) 488.028 * * [simplify]: iters left: 2 (11 enodes) 488.030 * * [simplify]: Extracting #0: cost 1 inf + 0 488.030 * * [simplify]: Extracting #1: cost 4 inf + 0 488.030 * * [simplify]: Extracting #2: cost 4 inf + 1 488.030 * * [simplify]: Extracting #3: cost 2 inf + 83 488.031 * * [simplify]: Extracting #4: cost 0 inf + 245 488.031 * [simplify]: Simplified to (sqrt k) 488.031 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 488.031 * * * * [progress]: [ 655 / 667 ] simplifiying candidate #real (real->posit16 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))))> 488.031 * [simplify]: Simplifying (real->posit16 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 488.031 * * [simplify]: iters left: 6 (15 enodes) 488.039 * * [simplify]: iters left: 5 (59 enodes) 488.058 * * [simplify]: iters left: 4 (96 enodes) 488.092 * * [simplify]: iters left: 3 (153 enodes) 488.128 * * [simplify]: iters left: 2 (274 enodes) 488.198 * * [simplify]: Extracting #0: cost 1 inf + 0 488.198 * * [simplify]: Extracting #1: cost 2 inf + 0 488.198 * * [simplify]: Extracting #2: cost 50 inf + 0 488.199 * * [simplify]: Extracting #3: cost 133 inf + 0 488.199 * * [simplify]: Extracting #4: cost 194 inf + 3 488.200 * * [simplify]: Extracting #5: cost 180 inf + 2830 488.204 * * [simplify]: Extracting #6: cost 96 inf + 33429 488.215 * * [simplify]: Extracting #7: cost 9 inf + 90396 488.227 * * [simplify]: Extracting #8: cost 0 inf + 96847 488.240 * [simplify]: Simplified to (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 488.240 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 488.240 * * * * [progress]: [ 656 / 667 ] simplifiying candidate # 488.241 * [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))))) 488.241 * * [simplify]: iters left: 6 (37 enodes) 488.257 * * [simplify]: iters left: 5 (187 enodes) 488.315 * * [simplify]: iters left: 4 (488 enodes) 488.569 * * [simplify]: Extracting #0: cost 1 inf + 0 488.569 * * [simplify]: Extracting #1: cost 57 inf + 0 488.570 * * [simplify]: Extracting #2: cost 294 inf + 0 488.577 * * [simplify]: Extracting #3: cost 529 inf + 199 488.579 * * [simplify]: Extracting #4: cost 521 inf + 5092 488.600 * * [simplify]: Extracting #5: cost 310 inf + 81150 488.678 * * [simplify]: Extracting #6: cost 37 inf + 225232 488.757 * * [simplify]: Extracting #7: cost 0 inf + 247600 488.811 * * [simplify]: Extracting #8: cost 0 inf + 245527 488.911 * * [simplify]: Extracting #9: cost 0 inf + 245486 488.987 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k (log n)) (* k 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 488.987 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k (log n)) (* k 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 488.988 * * * * [progress]: [ 657 / 667 ] simplifiying candidate # 488.988 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 488.988 * * [simplify]: iters left: 6 (15 enodes) 488.998 * * [simplify]: iters left: 5 (65 enodes) 489.021 * * [simplify]: iters left: 4 (123 enodes) 489.072 * * [simplify]: iters left: 3 (362 enodes) 489.251 * * [simplify]: Extracting #0: cost 1 inf + 0 489.251 * * [simplify]: Extracting #1: cost 37 inf + 0 489.251 * * [simplify]: Extracting #2: cost 214 inf + 1 489.253 * * [simplify]: Extracting #3: cost 359 inf + 976 489.256 * * [simplify]: Extracting #4: cost 248 inf + 22396 489.273 * * [simplify]: Extracting #5: cost 36 inf + 77801 489.303 * * [simplify]: Extracting #6: cost 1 inf + 88796 489.324 * * [simplify]: Extracting #7: cost 0 inf + 89336 489.343 * * [simplify]: Extracting #8: cost 0 inf + 89253 489.367 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 489.367 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 489.367 * * * * [progress]: [ 658 / 667 ] simplifiying candidate # 489.367 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 489.368 * * [simplify]: iters left: 6 (16 enodes) 489.378 * * [simplify]: iters left: 5 (67 enodes) 489.403 * * [simplify]: iters left: 4 (134 enodes) 489.463 * * [simplify]: iters left: 3 (407 enodes) 489.653 * * [simplify]: Extracting #0: cost 1 inf + 0 489.653 * * [simplify]: Extracting #1: cost 39 inf + 0 489.653 * * [simplify]: Extracting #2: cost 241 inf + 72 489.655 * * [simplify]: Extracting #3: cost 449 inf + 888 489.661 * * [simplify]: Extracting #4: cost 283 inf + 39118 489.688 * * [simplify]: Extracting #5: cost 24 inf + 116222 489.731 * * [simplify]: Extracting #6: cost 0 inf + 121984 489.777 * * [simplify]: Extracting #7: cost 0 inf + 121983 489.820 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 489.820 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 489.820 * * * * [progress]: [ 659 / 667 ] simplifiying candidate # 489.821 * [simplify]: Simplifying (* 2 (* n PI)) 489.821 * * [simplify]: iters left: 4 (5 enodes) 489.824 * * [simplify]: iters left: 3 (19 enodes) 489.829 * * [simplify]: iters left: 2 (27 enodes) 489.837 * * [simplify]: iters left: 1 (32 enodes) 489.845 * * [simplify]: Extracting #0: cost 1 inf + 0 489.845 * * [simplify]: Extracting #1: cost 8 inf + 0 489.845 * * [simplify]: Extracting #2: cost 7 inf + 45 489.846 * * [simplify]: Extracting #3: cost 0 inf + 421 489.846 * [simplify]: Simplified to (* (* PI n) 2) 489.846 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 489.846 * * * * [progress]: [ 660 / 667 ] simplifiying candidate # 489.847 * [simplify]: Simplifying (* 2 (* n PI)) 489.847 * * [simplify]: iters left: 4 (5 enodes) 489.849 * * [simplify]: iters left: 3 (19 enodes) 489.855 * * [simplify]: iters left: 2 (27 enodes) 489.863 * * [simplify]: iters left: 1 (32 enodes) 489.871 * * [simplify]: Extracting #0: cost 1 inf + 0 489.871 * * [simplify]: Extracting #1: cost 8 inf + 0 489.871 * * [simplify]: Extracting #2: cost 7 inf + 45 489.871 * * [simplify]: Extracting #3: cost 0 inf + 421 489.872 * [simplify]: Simplified to (* (* PI n) 2) 489.872 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 489.872 * * * * [progress]: [ 661 / 667 ] simplifiying candidate # 489.872 * [simplify]: Simplifying (* 2 (* n PI)) 489.872 * * [simplify]: iters left: 4 (5 enodes) 489.875 * * [simplify]: iters left: 3 (19 enodes) 489.878 * * [simplify]: iters left: 2 (27 enodes) 489.882 * * [simplify]: iters left: 1 (32 enodes) 489.886 * * [simplify]: Extracting #0: cost 1 inf + 0 489.886 * * [simplify]: Extracting #1: cost 8 inf + 0 489.886 * * [simplify]: Extracting #2: cost 7 inf + 45 489.886 * * [simplify]: Extracting #3: cost 0 inf + 421 489.886 * [simplify]: Simplified to (* (* PI n) 2) 489.886 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 489.886 * * * * [progress]: [ 662 / 667 ] simplifiying candidate # 489.887 * [simplify]: Simplifying (- (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (pow k 7) 1/4))) (+ (* 1/4 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (pow (pow k 7) 1/4))) (* 1/8 (* (* (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 7) 1/4)))))) (+ (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 3) 1/4))) (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (pow k 3) 1/4))))) 489.887 * * [simplify]: iters left: 6 (45 enodes) 489.903 * * [simplify]: iters left: 5 (229 enodes) 489.972 * * [simplify]: Extracting #0: cost 1 inf + 0 489.972 * * [simplify]: Extracting #1: cost 18 inf + 0 489.972 * * [simplify]: Extracting #2: cost 78 inf + 0 489.973 * * [simplify]: Extracting #3: cost 165 inf + 2 489.973 * * [simplify]: Extracting #4: cost 231 inf + 76 489.975 * * [simplify]: Extracting #5: cost 197 inf + 7701 489.982 * * [simplify]: Extracting #6: cost 137 inf + 28577 490.001 * * [simplify]: Extracting #7: cost 78 inf + 65002 490.016 * * [simplify]: Extracting #8: cost 16 inf + 120380 490.036 * * [simplify]: Extracting #9: cost 0 inf + 144198 490.063 * * [simplify]: Extracting #10: cost 0 inf + 144197 490.103 * [simplify]: Simplified to (- (+ (* (pow (/ 1 k) 1/4) (exp (* (+ (log n) (log (* 2 PI))) 1/2))) (+ (* (pow (pow k 7) 1/4) (+ (* 1/8 (* (* (log n) (log n)) (exp (* (+ (log n) (log (* 2 PI))) 1/2)))) (* (* 1/4 (log (* 2 PI))) (* (log n) (exp (* (+ (log n) (log (* 2 PI))) 1/2)))))) (* 1/8 (* (* (pow (pow k 7) 1/4) (* (log (* 2 PI)) (log (* 2 PI)))) (exp (* (+ (log n) (log (* 2 PI))) 1/2)))))) (* 1/2 (* (pow (* (* k k) k) 1/4) (+ (* (exp (* (+ (log n) (log (* 2 PI))) 1/2)) (log (* 2 PI))) (* (log n) (exp (* (+ (log n) (log (* 2 PI))) 1/2))))))) 490.103 * [simplify]: Simplified (2 1) to (λ (k n) (/ (- (+ (* (pow (/ 1 k) 1/4) (exp (* (+ (log n) (log (* 2 PI))) 1/2))) (+ (* (pow (pow k 7) 1/4) (+ (* 1/8 (* (* (log n) (log n)) (exp (* (+ (log n) (log (* 2 PI))) 1/2)))) (* (* 1/4 (log (* 2 PI))) (* (log n) (exp (* (+ (log n) (log (* 2 PI))) 1/2)))))) (* 1/8 (* (* (pow (pow k 7) 1/4) (* (log (* 2 PI)) (log (* 2 PI)))) (exp (* (+ (log n) (log (* 2 PI))) 1/2)))))) (* 1/2 (* (pow (* (* k k) k) 1/4) (+ (* (exp (* (+ (log n) (log (* 2 PI))) 1/2)) (log (* 2 PI))) (* (log n) (exp (* (+ (log n) (log (* 2 PI))) 1/2))))))) (sqrt (sqrt k)))) 490.104 * * * * [progress]: [ 663 / 667 ] simplifiying candidate # 490.104 * [simplify]: Simplifying (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow (/ 1 k) 1/4)) 490.104 * * [simplify]: iters left: 6 (19 enodes) 490.116 * * [simplify]: iters left: 5 (82 enodes) 490.148 * * [simplify]: iters left: 4 (156 enodes) 490.217 * * [simplify]: iters left: 3 (454 enodes) 490.449 * * [simplify]: Extracting #0: cost 1 inf + 0 490.449 * * [simplify]: Extracting #1: cost 23 inf + 0 490.449 * * [simplify]: Extracting #2: cost 129 inf + 0 490.450 * * [simplify]: Extracting #3: cost 314 inf + 79 490.453 * * [simplify]: Extracting #4: cost 357 inf + 13851 490.468 * * [simplify]: Extracting #5: cost 148 inf + 74392 490.510 * * [simplify]: Extracting #6: cost 8 inf + 125055 490.535 * * [simplify]: Extracting #7: cost 0 inf + 131211 490.564 * [simplify]: Simplified to (* (sqrt (exp (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4)) 490.564 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt (exp (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4)) (sqrt (sqrt k)))) 490.564 * * * * [progress]: [ 664 / 667 ] simplifiying candidate # 490.565 * [simplify]: Simplifying (- (* (sqrt +nan.0) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (* k (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (* (pow k 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (* (pow k 2) (pow (sqrt +nan.0) 3))))))))) 490.565 * [simplify]: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt (sqrt k)))) 490.565 * * * * [progress]: [ 665 / 667 ] simplifiying candidate # 490.565 * [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)))))))))))))))))))))) 490.565 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 490.566 * * * * [progress]: [ 666 / 667 ] simplifiying candidate # 490.566 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 490.566 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 490.567 * * * * [progress]: [ 667 / 667 ] simplifiying candidate # 490.567 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 490.567 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 490.568 * * * [progress]: adding candidates to table 500.339 * * [progress]: iteration 4 / 4 500.340 * * * [progress]: picking best candidate 500.382 * * * * [pick]: Picked # 500.382 * * * [progress]: localizing error 500.419 * * * [progress]: generating rewritten candidates 500.419 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 500.440 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 500.455 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 500.468 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 500.485 * * * [progress]: generating series expansions 500.485 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 500.486 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 500.486 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 500.486 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 500.486 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 500.486 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 500.486 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 500.486 * [taylor]: Taking taylor expansion of 1/4 in k 500.486 * [backup-simplify]: Simplify 1/4 into 1/4 500.486 * [taylor]: Taking taylor expansion of (- 1 k) in k 500.486 * [taylor]: Taking taylor expansion of 1 in k 500.486 * [backup-simplify]: Simplify 1 into 1 500.486 * [taylor]: Taking taylor expansion of k in k 500.486 * [backup-simplify]: Simplify 0 into 0 500.486 * [backup-simplify]: Simplify 1 into 1 500.486 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 500.486 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 500.486 * [taylor]: Taking taylor expansion of 2 in k 500.486 * [backup-simplify]: Simplify 2 into 2 500.486 * [taylor]: Taking taylor expansion of (* n PI) in k 500.486 * [taylor]: Taking taylor expansion of n in k 500.486 * [backup-simplify]: Simplify n into n 500.486 * [taylor]: Taking taylor expansion of PI in k 500.486 * [backup-simplify]: Simplify PI into PI 500.486 * [backup-simplify]: Simplify (* n PI) into (* n PI) 500.486 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 500.487 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 500.487 * [backup-simplify]: Simplify (- 0) into 0 500.487 * [backup-simplify]: Simplify (+ 1 0) into 1 500.487 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 500.488 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 500.488 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 500.488 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 500.488 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 500.488 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 500.488 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 500.488 * [taylor]: Taking taylor expansion of 1/4 in n 500.488 * [backup-simplify]: Simplify 1/4 into 1/4 500.488 * [taylor]: Taking taylor expansion of (- 1 k) in n 500.488 * [taylor]: Taking taylor expansion of 1 in n 500.488 * [backup-simplify]: Simplify 1 into 1 500.488 * [taylor]: Taking taylor expansion of k in n 500.488 * [backup-simplify]: Simplify k into k 500.488 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 500.488 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 500.488 * [taylor]: Taking taylor expansion of 2 in n 500.488 * [backup-simplify]: Simplify 2 into 2 500.488 * [taylor]: Taking taylor expansion of (* n PI) in n 500.488 * [taylor]: Taking taylor expansion of n in n 500.488 * [backup-simplify]: Simplify 0 into 0 500.488 * [backup-simplify]: Simplify 1 into 1 500.488 * [taylor]: Taking taylor expansion of PI in n 500.488 * [backup-simplify]: Simplify PI into PI 500.488 * [backup-simplify]: Simplify (* 0 PI) into 0 500.489 * [backup-simplify]: Simplify (* 2 0) into 0 500.489 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 500.490 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 500.491 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 500.491 * [backup-simplify]: Simplify (- k) into (- k) 500.491 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 500.491 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 500.492 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 500.493 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 500.493 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 500.493 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 500.493 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 500.493 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 500.493 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 500.493 * [taylor]: Taking taylor expansion of 1/4 in n 500.493 * [backup-simplify]: Simplify 1/4 into 1/4 500.493 * [taylor]: Taking taylor expansion of (- 1 k) in n 500.493 * [taylor]: Taking taylor expansion of 1 in n 500.493 * [backup-simplify]: Simplify 1 into 1 500.493 * [taylor]: Taking taylor expansion of k in n 500.493 * [backup-simplify]: Simplify k into k 500.493 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 500.493 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 500.493 * [taylor]: Taking taylor expansion of 2 in n 500.493 * [backup-simplify]: Simplify 2 into 2 500.493 * [taylor]: Taking taylor expansion of (* n PI) in n 500.493 * [taylor]: Taking taylor expansion of n in n 500.493 * [backup-simplify]: Simplify 0 into 0 500.494 * [backup-simplify]: Simplify 1 into 1 500.494 * [taylor]: Taking taylor expansion of PI in n 500.494 * [backup-simplify]: Simplify PI into PI 500.494 * [backup-simplify]: Simplify (* 0 PI) into 0 500.494 * [backup-simplify]: Simplify (* 2 0) into 0 500.500 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 500.502 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 500.502 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 500.502 * [backup-simplify]: Simplify (- k) into (- k) 500.502 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 500.502 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 500.503 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 500.504 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 500.505 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 500.505 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 500.505 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 500.505 * [taylor]: Taking taylor expansion of 1/4 in k 500.505 * [backup-simplify]: Simplify 1/4 into 1/4 500.505 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 500.505 * [taylor]: Taking taylor expansion of (- 1 k) in k 500.505 * [taylor]: Taking taylor expansion of 1 in k 500.505 * [backup-simplify]: Simplify 1 into 1 500.505 * [taylor]: Taking taylor expansion of k in k 500.505 * [backup-simplify]: Simplify 0 into 0 500.505 * [backup-simplify]: Simplify 1 into 1 500.505 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 500.505 * [taylor]: Taking taylor expansion of (log n) in k 500.505 * [taylor]: Taking taylor expansion of n in k 500.505 * [backup-simplify]: Simplify n into n 500.505 * [backup-simplify]: Simplify (log n) into (log n) 500.505 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 500.505 * [taylor]: Taking taylor expansion of (* 2 PI) in k 500.505 * [taylor]: Taking taylor expansion of 2 in k 500.505 * [backup-simplify]: Simplify 2 into 2 500.505 * [taylor]: Taking taylor expansion of PI in k 500.505 * [backup-simplify]: Simplify PI into PI 500.506 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 500.506 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 500.507 * [backup-simplify]: Simplify (- 0) into 0 500.507 * [backup-simplify]: Simplify (+ 1 0) into 1 500.507 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 500.508 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 500.509 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 500.509 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 500.510 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 500.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 500.511 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 500.512 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 500.512 * [backup-simplify]: Simplify (- 0) into 0 500.512 * [backup-simplify]: Simplify (+ 0 0) into 0 500.513 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 500.514 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 500.514 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 500.515 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 500.515 * [taylor]: Taking taylor expansion of 0 in k 500.515 * [backup-simplify]: Simplify 0 into 0 500.515 * [backup-simplify]: Simplify 0 into 0 500.516 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 500.516 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 500.517 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 500.517 * [backup-simplify]: Simplify (+ 0 0) into 0 500.518 * [backup-simplify]: Simplify (- 1) into -1 500.518 * [backup-simplify]: Simplify (+ 0 -1) into -1 500.519 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 500.520 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 500.522 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 500.523 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 500.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 500.525 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 500.527 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 500.527 * [backup-simplify]: Simplify (- 0) into 0 500.527 * [backup-simplify]: Simplify (+ 0 0) into 0 500.528 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 500.529 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 500.530 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 500.531 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 500.531 * [taylor]: Taking taylor expansion of 0 in k 500.531 * [backup-simplify]: Simplify 0 into 0 500.531 * [backup-simplify]: Simplify 0 into 0 500.531 * [backup-simplify]: Simplify 0 into 0 500.532 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 500.533 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 500.534 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 500.535 * [backup-simplify]: Simplify (+ 0 0) into 0 500.535 * [backup-simplify]: Simplify (- 0) into 0 500.535 * [backup-simplify]: Simplify (+ 0 0) into 0 500.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 500.538 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 500.540 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 500.543 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 500.548 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 500.548 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 500.548 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 500.548 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 500.549 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 500.549 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 500.549 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 500.549 * [taylor]: Taking taylor expansion of 1/4 in k 500.549 * [backup-simplify]: Simplify 1/4 into 1/4 500.549 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 500.549 * [taylor]: Taking taylor expansion of 1 in k 500.549 * [backup-simplify]: Simplify 1 into 1 500.549 * [taylor]: Taking taylor expansion of (/ 1 k) in k 500.549 * [taylor]: Taking taylor expansion of k in k 500.549 * [backup-simplify]: Simplify 0 into 0 500.549 * [backup-simplify]: Simplify 1 into 1 500.549 * [backup-simplify]: Simplify (/ 1 1) into 1 500.549 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 500.549 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 500.549 * [taylor]: Taking taylor expansion of 2 in k 500.549 * [backup-simplify]: Simplify 2 into 2 500.549 * [taylor]: Taking taylor expansion of (/ PI n) in k 500.549 * [taylor]: Taking taylor expansion of PI in k 500.549 * [backup-simplify]: Simplify PI into PI 500.549 * [taylor]: Taking taylor expansion of n in k 500.549 * [backup-simplify]: Simplify n into n 500.549 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 500.549 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 500.549 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 500.549 * [backup-simplify]: Simplify (- 1) into -1 500.550 * [backup-simplify]: Simplify (+ 0 -1) into -1 500.550 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 500.550 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 500.550 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 500.550 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 500.550 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 500.550 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 500.550 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 500.550 * [taylor]: Taking taylor expansion of 1/4 in n 500.550 * [backup-simplify]: Simplify 1/4 into 1/4 500.550 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 500.550 * [taylor]: Taking taylor expansion of 1 in n 500.550 * [backup-simplify]: Simplify 1 into 1 500.550 * [taylor]: Taking taylor expansion of (/ 1 k) in n 500.550 * [taylor]: Taking taylor expansion of k in n 500.550 * [backup-simplify]: Simplify k into k 500.550 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 500.550 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 500.551 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 500.551 * [taylor]: Taking taylor expansion of 2 in n 500.551 * [backup-simplify]: Simplify 2 into 2 500.551 * [taylor]: Taking taylor expansion of (/ PI n) in n 500.551 * [taylor]: Taking taylor expansion of PI in n 500.551 * [backup-simplify]: Simplify PI into PI 500.551 * [taylor]: Taking taylor expansion of n in n 500.551 * [backup-simplify]: Simplify 0 into 0 500.551 * [backup-simplify]: Simplify 1 into 1 500.551 * [backup-simplify]: Simplify (/ PI 1) into PI 500.551 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 500.552 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 500.552 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 500.552 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 500.552 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 500.553 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 500.553 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 500.554 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 500.554 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 500.554 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 500.554 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 500.554 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 500.554 * [taylor]: Taking taylor expansion of 1/4 in n 500.554 * [backup-simplify]: Simplify 1/4 into 1/4 500.554 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 500.554 * [taylor]: Taking taylor expansion of 1 in n 500.554 * [backup-simplify]: Simplify 1 into 1 500.554 * [taylor]: Taking taylor expansion of (/ 1 k) in n 500.554 * [taylor]: Taking taylor expansion of k in n 500.554 * [backup-simplify]: Simplify k into k 500.554 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 500.554 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 500.554 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 500.554 * [taylor]: Taking taylor expansion of 2 in n 500.554 * [backup-simplify]: Simplify 2 into 2 500.554 * [taylor]: Taking taylor expansion of (/ PI n) in n 500.554 * [taylor]: Taking taylor expansion of PI in n 500.554 * [backup-simplify]: Simplify PI into PI 500.554 * [taylor]: Taking taylor expansion of n in n 500.554 * [backup-simplify]: Simplify 0 into 0 500.555 * [backup-simplify]: Simplify 1 into 1 500.555 * [backup-simplify]: Simplify (/ PI 1) into PI 500.555 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 500.556 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 500.556 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 500.556 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 500.556 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 500.557 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 500.557 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 500.558 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 500.558 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 500.558 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 500.558 * [taylor]: Taking taylor expansion of 1/4 in k 500.558 * [backup-simplify]: Simplify 1/4 into 1/4 500.558 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 500.558 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 500.558 * [taylor]: Taking taylor expansion of 1 in k 500.558 * [backup-simplify]: Simplify 1 into 1 500.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k 500.558 * [taylor]: Taking taylor expansion of k in k 500.558 * [backup-simplify]: Simplify 0 into 0 500.558 * [backup-simplify]: Simplify 1 into 1 500.559 * [backup-simplify]: Simplify (/ 1 1) into 1 500.559 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 500.559 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 500.559 * [taylor]: Taking taylor expansion of (* 2 PI) in k 500.559 * [taylor]: Taking taylor expansion of 2 in k 500.559 * [backup-simplify]: Simplify 2 into 2 500.559 * [taylor]: Taking taylor expansion of PI in k 500.559 * [backup-simplify]: Simplify PI into PI 500.559 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 500.560 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 500.560 * [taylor]: Taking taylor expansion of (log n) in k 500.560 * [taylor]: Taking taylor expansion of n in k 500.560 * [backup-simplify]: Simplify n into n 500.560 * [backup-simplify]: Simplify (log n) into (log n) 500.560 * [backup-simplify]: Simplify (- 1) into -1 500.560 * [backup-simplify]: Simplify (+ 0 -1) into -1 500.560 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 500.561 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 500.562 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 500.563 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 500.563 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 500.564 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 500.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 500.565 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 500.566 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 500.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 500.567 * [backup-simplify]: Simplify (- 0) into 0 500.567 * [backup-simplify]: Simplify (+ 0 0) into 0 500.567 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 500.568 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 500.569 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 500.570 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 500.570 * [taylor]: Taking taylor expansion of 0 in k 500.570 * [backup-simplify]: Simplify 0 into 0 500.570 * [backup-simplify]: Simplify 0 into 0 500.570 * [backup-simplify]: Simplify 0 into 0 500.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.571 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 500.573 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 500.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 500.573 * [backup-simplify]: Simplify (- 0) into 0 500.573 * [backup-simplify]: Simplify (+ 0 0) into 0 500.574 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 500.575 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 500.576 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 500.577 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 500.578 * [taylor]: Taking taylor expansion of 0 in k 500.578 * [backup-simplify]: Simplify 0 into 0 500.578 * [backup-simplify]: Simplify 0 into 0 500.578 * [backup-simplify]: Simplify 0 into 0 500.578 * [backup-simplify]: Simplify 0 into 0 500.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.579 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 500.582 * [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 0 500.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 500.582 * [backup-simplify]: Simplify (- 0) into 0 500.583 * [backup-simplify]: Simplify (+ 0 0) into 0 500.583 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 500.589 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 500.590 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 500.592 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 500.592 * [taylor]: Taking taylor expansion of 0 in k 500.592 * [backup-simplify]: Simplify 0 into 0 500.592 * [backup-simplify]: Simplify 0 into 0 500.592 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 500.593 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 500.593 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 500.593 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 500.593 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 500.593 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 500.593 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 500.593 * [taylor]: Taking taylor expansion of 1/4 in k 500.593 * [backup-simplify]: Simplify 1/4 into 1/4 500.593 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 500.593 * [taylor]: Taking taylor expansion of (/ 1 k) in k 500.593 * [taylor]: Taking taylor expansion of k in k 500.593 * [backup-simplify]: Simplify 0 into 0 500.593 * [backup-simplify]: Simplify 1 into 1 500.594 * [backup-simplify]: Simplify (/ 1 1) into 1 500.594 * [taylor]: Taking taylor expansion of 1 in k 500.594 * [backup-simplify]: Simplify 1 into 1 500.594 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 500.594 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 500.594 * [taylor]: Taking taylor expansion of -2 in k 500.594 * [backup-simplify]: Simplify -2 into -2 500.594 * [taylor]: Taking taylor expansion of (/ PI n) in k 500.594 * [taylor]: Taking taylor expansion of PI in k 500.594 * [backup-simplify]: Simplify PI into PI 500.594 * [taylor]: Taking taylor expansion of n in k 500.594 * [backup-simplify]: Simplify n into n 500.594 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 500.594 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 500.594 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 500.594 * [backup-simplify]: Simplify (+ 1 0) into 1 500.595 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 500.595 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 500.595 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 500.595 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 500.595 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 500.595 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 500.595 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 500.595 * [taylor]: Taking taylor expansion of 1/4 in n 500.595 * [backup-simplify]: Simplify 1/4 into 1/4 500.595 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 500.595 * [taylor]: Taking taylor expansion of (/ 1 k) in n 500.595 * [taylor]: Taking taylor expansion of k in n 500.595 * [backup-simplify]: Simplify k into k 500.595 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 500.595 * [taylor]: Taking taylor expansion of 1 in n 500.595 * [backup-simplify]: Simplify 1 into 1 500.595 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 500.595 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 500.595 * [taylor]: Taking taylor expansion of -2 in n 500.595 * [backup-simplify]: Simplify -2 into -2 500.595 * [taylor]: Taking taylor expansion of (/ PI n) in n 500.595 * [taylor]: Taking taylor expansion of PI in n 500.595 * [backup-simplify]: Simplify PI into PI 500.595 * [taylor]: Taking taylor expansion of n in n 500.595 * [backup-simplify]: Simplify 0 into 0 500.595 * [backup-simplify]: Simplify 1 into 1 500.595 * [backup-simplify]: Simplify (/ PI 1) into PI 500.596 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 500.596 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 500.596 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 500.596 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 500.597 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 500.598 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 500.599 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 500.599 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 500.599 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 500.599 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 500.599 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 500.599 * [taylor]: Taking taylor expansion of 1/4 in n 500.599 * [backup-simplify]: Simplify 1/4 into 1/4 500.599 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 500.599 * [taylor]: Taking taylor expansion of (/ 1 k) in n 500.599 * [taylor]: Taking taylor expansion of k in n 500.599 * [backup-simplify]: Simplify k into k 500.599 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 500.599 * [taylor]: Taking taylor expansion of 1 in n 500.599 * [backup-simplify]: Simplify 1 into 1 500.599 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 500.599 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 500.599 * [taylor]: Taking taylor expansion of -2 in n 500.599 * [backup-simplify]: Simplify -2 into -2 500.599 * [taylor]: Taking taylor expansion of (/ PI n) in n 500.599 * [taylor]: Taking taylor expansion of PI in n 500.599 * [backup-simplify]: Simplify PI into PI 500.599 * [taylor]: Taking taylor expansion of n in n 500.599 * [backup-simplify]: Simplify 0 into 0 500.599 * [backup-simplify]: Simplify 1 into 1 500.599 * [backup-simplify]: Simplify (/ PI 1) into PI 500.600 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 500.600 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 500.600 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 500.600 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 500.601 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 500.602 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 500.602 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 500.602 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 500.603 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 500.603 * [taylor]: Taking taylor expansion of 1/4 in k 500.603 * [backup-simplify]: Simplify 1/4 into 1/4 500.603 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 500.603 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 500.603 * [taylor]: Taking taylor expansion of (/ 1 k) in k 500.603 * [taylor]: Taking taylor expansion of k in k 500.603 * [backup-simplify]: Simplify 0 into 0 500.603 * [backup-simplify]: Simplify 1 into 1 500.603 * [backup-simplify]: Simplify (/ 1 1) into 1 500.603 * [taylor]: Taking taylor expansion of 1 in k 500.603 * [backup-simplify]: Simplify 1 into 1 500.603 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 500.603 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 500.603 * [taylor]: Taking taylor expansion of (* -2 PI) in k 500.603 * [taylor]: Taking taylor expansion of -2 in k 500.603 * [backup-simplify]: Simplify -2 into -2 500.603 * [taylor]: Taking taylor expansion of PI in k 500.603 * [backup-simplify]: Simplify PI into PI 500.603 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 500.604 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 500.604 * [taylor]: Taking taylor expansion of (log n) in k 500.604 * [taylor]: Taking taylor expansion of n in k 500.604 * [backup-simplify]: Simplify n into n 500.604 * [backup-simplify]: Simplify (log n) into (log n) 500.604 * [backup-simplify]: Simplify (+ 1 0) into 1 500.604 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 500.605 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 500.605 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 500.606 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 500.607 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 500.607 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 500.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 500.608 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 500.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 500.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 500.610 * [backup-simplify]: Simplify (+ 0 0) into 0 500.610 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 500.611 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 500.612 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 500.613 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 500.613 * [taylor]: Taking taylor expansion of 0 in k 500.613 * [backup-simplify]: Simplify 0 into 0 500.613 * [backup-simplify]: Simplify 0 into 0 500.613 * [backup-simplify]: Simplify 0 into 0 500.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.614 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 500.616 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 500.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 500.616 * [backup-simplify]: Simplify (+ 0 0) into 0 500.617 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 500.618 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 500.619 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 500.620 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 500.620 * [taylor]: Taking taylor expansion of 0 in k 500.620 * [backup-simplify]: Simplify 0 into 0 500.620 * [backup-simplify]: Simplify 0 into 0 500.620 * [backup-simplify]: Simplify 0 into 0 500.620 * [backup-simplify]: Simplify 0 into 0 500.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.621 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 500.624 * [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 0 500.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 500.625 * [backup-simplify]: Simplify (+ 0 0) into 0 500.626 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 500.627 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 500.628 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 500.629 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 500.630 * [taylor]: Taking taylor expansion of 0 in k 500.630 * [backup-simplify]: Simplify 0 into 0 500.630 * [backup-simplify]: Simplify 0 into 0 500.630 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 500.630 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 500.631 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 500.631 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 500.631 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 500.631 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 500.631 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 500.631 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 500.631 * [taylor]: Taking taylor expansion of 1/4 in k 500.631 * [backup-simplify]: Simplify 1/4 into 1/4 500.631 * [taylor]: Taking taylor expansion of (- 1 k) in k 500.631 * [taylor]: Taking taylor expansion of 1 in k 500.631 * [backup-simplify]: Simplify 1 into 1 500.631 * [taylor]: Taking taylor expansion of k in k 500.631 * [backup-simplify]: Simplify 0 into 0 500.631 * [backup-simplify]: Simplify 1 into 1 500.631 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 500.631 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 500.631 * [taylor]: Taking taylor expansion of 2 in k 500.631 * [backup-simplify]: Simplify 2 into 2 500.631 * [taylor]: Taking taylor expansion of (* n PI) in k 500.631 * [taylor]: Taking taylor expansion of n in k 500.631 * [backup-simplify]: Simplify n into n 500.631 * [taylor]: Taking taylor expansion of PI in k 500.631 * [backup-simplify]: Simplify PI into PI 500.631 * [backup-simplify]: Simplify (* n PI) into (* n PI) 500.631 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 500.631 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 500.632 * [backup-simplify]: Simplify (- 0) into 0 500.632 * [backup-simplify]: Simplify (+ 1 0) into 1 500.632 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 500.632 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 500.632 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 500.632 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 500.632 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 500.632 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 500.632 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 500.632 * [taylor]: Taking taylor expansion of 1/4 in n 500.632 * [backup-simplify]: Simplify 1/4 into 1/4 500.632 * [taylor]: Taking taylor expansion of (- 1 k) in n 500.632 * [taylor]: Taking taylor expansion of 1 in n 500.632 * [backup-simplify]: Simplify 1 into 1 500.632 * [taylor]: Taking taylor expansion of k in n 500.632 * [backup-simplify]: Simplify k into k 500.632 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 500.632 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 500.632 * [taylor]: Taking taylor expansion of 2 in n 500.632 * [backup-simplify]: Simplify 2 into 2 500.632 * [taylor]: Taking taylor expansion of (* n PI) in n 500.632 * [taylor]: Taking taylor expansion of n in n 500.632 * [backup-simplify]: Simplify 0 into 0 500.632 * [backup-simplify]: Simplify 1 into 1 500.632 * [taylor]: Taking taylor expansion of PI in n 500.633 * [backup-simplify]: Simplify PI into PI 500.633 * [backup-simplify]: Simplify (* 0 PI) into 0 500.633 * [backup-simplify]: Simplify (* 2 0) into 0 500.634 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 500.635 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 500.635 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 500.635 * [backup-simplify]: Simplify (- k) into (- k) 500.635 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 500.635 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 500.636 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 500.637 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 500.638 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 500.638 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 500.638 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 500.638 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 500.638 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 500.638 * [taylor]: Taking taylor expansion of 1/4 in n 500.638 * [backup-simplify]: Simplify 1/4 into 1/4 500.638 * [taylor]: Taking taylor expansion of (- 1 k) in n 500.638 * [taylor]: Taking taylor expansion of 1 in n 500.638 * [backup-simplify]: Simplify 1 into 1 500.638 * [taylor]: Taking taylor expansion of k in n 500.638 * [backup-simplify]: Simplify k into k 500.638 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 500.638 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 500.638 * [taylor]: Taking taylor expansion of 2 in n 500.638 * [backup-simplify]: Simplify 2 into 2 500.638 * [taylor]: Taking taylor expansion of (* n PI) in n 500.638 * [taylor]: Taking taylor expansion of n in n 500.638 * [backup-simplify]: Simplify 0 into 0 500.638 * [backup-simplify]: Simplify 1 into 1 500.638 * [taylor]: Taking taylor expansion of PI in n 500.638 * [backup-simplify]: Simplify PI into PI 500.638 * [backup-simplify]: Simplify (* 0 PI) into 0 500.638 * [backup-simplify]: Simplify (* 2 0) into 0 500.639 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 500.640 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 500.641 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 500.641 * [backup-simplify]: Simplify (- k) into (- k) 500.641 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 500.641 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 500.642 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 500.642 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 500.643 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 500.643 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 500.643 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 500.643 * [taylor]: Taking taylor expansion of 1/4 in k 500.643 * [backup-simplify]: Simplify 1/4 into 1/4 500.643 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 500.643 * [taylor]: Taking taylor expansion of (- 1 k) in k 500.643 * [taylor]: Taking taylor expansion of 1 in k 500.643 * [backup-simplify]: Simplify 1 into 1 500.643 * [taylor]: Taking taylor expansion of k in k 500.643 * [backup-simplify]: Simplify 0 into 0 500.643 * [backup-simplify]: Simplify 1 into 1 500.643 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 500.643 * [taylor]: Taking taylor expansion of (log n) in k 500.643 * [taylor]: Taking taylor expansion of n in k 500.643 * [backup-simplify]: Simplify n into n 500.643 * [backup-simplify]: Simplify (log n) into (log n) 500.643 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 500.643 * [taylor]: Taking taylor expansion of (* 2 PI) in k 500.643 * [taylor]: Taking taylor expansion of 2 in k 500.643 * [backup-simplify]: Simplify 2 into 2 500.643 * [taylor]: Taking taylor expansion of PI in k 500.643 * [backup-simplify]: Simplify PI into PI 500.644 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 500.644 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 500.644 * [backup-simplify]: Simplify (- 0) into 0 500.645 * [backup-simplify]: Simplify (+ 1 0) into 1 500.645 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 500.646 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 500.646 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 500.647 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 500.648 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 500.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 500.649 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 500.650 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 500.650 * [backup-simplify]: Simplify (- 0) into 0 500.650 * [backup-simplify]: Simplify (+ 0 0) into 0 500.651 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 500.652 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 500.652 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 500.653 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 500.653 * [taylor]: Taking taylor expansion of 0 in k 500.653 * [backup-simplify]: Simplify 0 into 0 500.654 * [backup-simplify]: Simplify 0 into 0 500.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 500.654 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 500.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 500.656 * [backup-simplify]: Simplify (+ 0 0) into 0 500.656 * [backup-simplify]: Simplify (- 1) into -1 500.656 * [backup-simplify]: Simplify (+ 0 -1) into -1 500.657 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 500.658 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 500.660 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 500.661 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 500.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 500.663 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 500.664 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 500.665 * [backup-simplify]: Simplify (- 0) into 0 500.665 * [backup-simplify]: Simplify (+ 0 0) into 0 500.665 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 500.666 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 500.667 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 500.668 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 500.668 * [taylor]: Taking taylor expansion of 0 in k 500.668 * [backup-simplify]: Simplify 0 into 0 500.669 * [backup-simplify]: Simplify 0 into 0 500.669 * [backup-simplify]: Simplify 0 into 0 500.669 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 500.670 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 500.676 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 500.676 * [backup-simplify]: Simplify (+ 0 0) into 0 500.676 * [backup-simplify]: Simplify (- 0) into 0 500.677 * [backup-simplify]: Simplify (+ 0 0) into 0 500.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 500.680 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 500.682 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 500.684 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 500.690 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 500.690 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 500.690 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 500.690 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 500.690 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 500.690 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 500.690 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 500.690 * [taylor]: Taking taylor expansion of 1/4 in k 500.690 * [backup-simplify]: Simplify 1/4 into 1/4 500.690 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 500.690 * [taylor]: Taking taylor expansion of 1 in k 500.690 * [backup-simplify]: Simplify 1 into 1 500.690 * [taylor]: Taking taylor expansion of (/ 1 k) in k 500.690 * [taylor]: Taking taylor expansion of k in k 500.690 * [backup-simplify]: Simplify 0 into 0 500.690 * [backup-simplify]: Simplify 1 into 1 500.691 * [backup-simplify]: Simplify (/ 1 1) into 1 500.691 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 500.691 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 500.691 * [taylor]: Taking taylor expansion of 2 in k 500.691 * [backup-simplify]: Simplify 2 into 2 500.691 * [taylor]: Taking taylor expansion of (/ PI n) in k 500.691 * [taylor]: Taking taylor expansion of PI in k 500.691 * [backup-simplify]: Simplify PI into PI 500.691 * [taylor]: Taking taylor expansion of n in k 500.691 * [backup-simplify]: Simplify n into n 500.691 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 500.691 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 500.691 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 500.691 * [backup-simplify]: Simplify (- 1) into -1 500.691 * [backup-simplify]: Simplify (+ 0 -1) into -1 500.692 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 500.692 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 500.692 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 500.692 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 500.692 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 500.692 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 500.692 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 500.692 * [taylor]: Taking taylor expansion of 1/4 in n 500.692 * [backup-simplify]: Simplify 1/4 into 1/4 500.692 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 500.692 * [taylor]: Taking taylor expansion of 1 in n 500.692 * [backup-simplify]: Simplify 1 into 1 500.692 * [taylor]: Taking taylor expansion of (/ 1 k) in n 500.692 * [taylor]: Taking taylor expansion of k in n 500.692 * [backup-simplify]: Simplify k into k 500.692 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 500.692 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 500.692 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 500.692 * [taylor]: Taking taylor expansion of 2 in n 500.692 * [backup-simplify]: Simplify 2 into 2 500.692 * [taylor]: Taking taylor expansion of (/ PI n) in n 500.692 * [taylor]: Taking taylor expansion of PI in n 500.692 * [backup-simplify]: Simplify PI into PI 500.692 * [taylor]: Taking taylor expansion of n in n 500.692 * [backup-simplify]: Simplify 0 into 0 500.692 * [backup-simplify]: Simplify 1 into 1 500.693 * [backup-simplify]: Simplify (/ PI 1) into PI 500.693 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 500.693 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 500.693 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 500.694 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 500.694 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 500.694 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 500.695 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 500.696 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 500.696 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 500.696 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 500.696 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 500.696 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 500.696 * [taylor]: Taking taylor expansion of 1/4 in n 500.696 * [backup-simplify]: Simplify 1/4 into 1/4 500.696 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 500.696 * [taylor]: Taking taylor expansion of 1 in n 500.696 * [backup-simplify]: Simplify 1 into 1 500.696 * [taylor]: Taking taylor expansion of (/ 1 k) in n 500.696 * [taylor]: Taking taylor expansion of k in n 500.697 * [backup-simplify]: Simplify k into k 500.697 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 500.697 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 500.697 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 500.697 * [taylor]: Taking taylor expansion of 2 in n 500.697 * [backup-simplify]: Simplify 2 into 2 500.697 * [taylor]: Taking taylor expansion of (/ PI n) in n 500.697 * [taylor]: Taking taylor expansion of PI in n 500.697 * [backup-simplify]: Simplify PI into PI 500.697 * [taylor]: Taking taylor expansion of n in n 500.697 * [backup-simplify]: Simplify 0 into 0 500.697 * [backup-simplify]: Simplify 1 into 1 500.697 * [backup-simplify]: Simplify (/ PI 1) into PI 500.698 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 500.698 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 500.698 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 500.699 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 500.699 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 500.700 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 500.701 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 500.702 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 500.702 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 500.702 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 500.702 * [taylor]: Taking taylor expansion of 1/4 in k 500.702 * [backup-simplify]: Simplify 1/4 into 1/4 500.702 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 500.702 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 500.702 * [taylor]: Taking taylor expansion of 1 in k 500.702 * [backup-simplify]: Simplify 1 into 1 500.702 * [taylor]: Taking taylor expansion of (/ 1 k) in k 500.702 * [taylor]: Taking taylor expansion of k in k 500.702 * [backup-simplify]: Simplify 0 into 0 500.702 * [backup-simplify]: Simplify 1 into 1 500.702 * [backup-simplify]: Simplify (/ 1 1) into 1 500.702 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 500.702 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 500.702 * [taylor]: Taking taylor expansion of (* 2 PI) in k 500.702 * [taylor]: Taking taylor expansion of 2 in k 500.702 * [backup-simplify]: Simplify 2 into 2 500.702 * [taylor]: Taking taylor expansion of PI in k 500.702 * [backup-simplify]: Simplify PI into PI 500.703 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 500.704 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 500.704 * [taylor]: Taking taylor expansion of (log n) in k 500.704 * [taylor]: Taking taylor expansion of n in k 500.704 * [backup-simplify]: Simplify n into n 500.704 * [backup-simplify]: Simplify (log n) into (log n) 500.704 * [backup-simplify]: Simplify (- 1) into -1 500.705 * [backup-simplify]: Simplify (+ 0 -1) into -1 500.705 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 500.706 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 500.706 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 500.707 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 500.708 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 500.709 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 500.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 500.711 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 500.712 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 500.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 500.713 * [backup-simplify]: Simplify (- 0) into 0 500.713 * [backup-simplify]: Simplify (+ 0 0) into 0 500.714 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 500.715 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 500.716 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 500.718 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 500.718 * [taylor]: Taking taylor expansion of 0 in k 500.718 * [backup-simplify]: Simplify 0 into 0 500.718 * [backup-simplify]: Simplify 0 into 0 500.718 * [backup-simplify]: Simplify 0 into 0 500.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.720 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 500.723 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 500.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 500.724 * [backup-simplify]: Simplify (- 0) into 0 500.724 * [backup-simplify]: Simplify (+ 0 0) into 0 500.725 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 500.727 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 500.729 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 500.731 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 500.731 * [taylor]: Taking taylor expansion of 0 in k 500.731 * [backup-simplify]: Simplify 0 into 0 500.731 * [backup-simplify]: Simplify 0 into 0 500.731 * [backup-simplify]: Simplify 0 into 0 500.731 * [backup-simplify]: Simplify 0 into 0 500.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.733 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 500.739 * [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 0 500.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 500.740 * [backup-simplify]: Simplify (- 0) into 0 500.740 * [backup-simplify]: Simplify (+ 0 0) into 0 500.742 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 500.743 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 500.745 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 500.748 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 500.748 * [taylor]: Taking taylor expansion of 0 in k 500.748 * [backup-simplify]: Simplify 0 into 0 500.748 * [backup-simplify]: Simplify 0 into 0 500.749 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 500.750 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 500.750 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 500.750 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 500.750 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 500.750 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 500.750 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 500.750 * [taylor]: Taking taylor expansion of 1/4 in k 500.750 * [backup-simplify]: Simplify 1/4 into 1/4 500.750 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 500.750 * [taylor]: Taking taylor expansion of (/ 1 k) in k 500.750 * [taylor]: Taking taylor expansion of k in k 500.750 * [backup-simplify]: Simplify 0 into 0 500.750 * [backup-simplify]: Simplify 1 into 1 500.750 * [backup-simplify]: Simplify (/ 1 1) into 1 500.750 * [taylor]: Taking taylor expansion of 1 in k 500.750 * [backup-simplify]: Simplify 1 into 1 500.750 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 500.750 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 500.750 * [taylor]: Taking taylor expansion of -2 in k 500.750 * [backup-simplify]: Simplify -2 into -2 500.751 * [taylor]: Taking taylor expansion of (/ PI n) in k 500.751 * [taylor]: Taking taylor expansion of PI in k 500.751 * [backup-simplify]: Simplify PI into PI 500.751 * [taylor]: Taking taylor expansion of n in k 500.751 * [backup-simplify]: Simplify n into n 500.751 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 500.751 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 500.751 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 500.751 * [backup-simplify]: Simplify (+ 1 0) into 1 500.752 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 500.752 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 500.752 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 500.752 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 500.752 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 500.752 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 500.752 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 500.752 * [taylor]: Taking taylor expansion of 1/4 in n 500.752 * [backup-simplify]: Simplify 1/4 into 1/4 500.752 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 500.752 * [taylor]: Taking taylor expansion of (/ 1 k) in n 500.752 * [taylor]: Taking taylor expansion of k in n 500.752 * [backup-simplify]: Simplify k into k 500.752 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 500.752 * [taylor]: Taking taylor expansion of 1 in n 500.752 * [backup-simplify]: Simplify 1 into 1 500.752 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 500.752 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 500.752 * [taylor]: Taking taylor expansion of -2 in n 500.753 * [backup-simplify]: Simplify -2 into -2 500.753 * [taylor]: Taking taylor expansion of (/ PI n) in n 500.753 * [taylor]: Taking taylor expansion of PI in n 500.753 * [backup-simplify]: Simplify PI into PI 500.753 * [taylor]: Taking taylor expansion of n in n 500.753 * [backup-simplify]: Simplify 0 into 0 500.753 * [backup-simplify]: Simplify 1 into 1 500.753 * [backup-simplify]: Simplify (/ PI 1) into PI 500.754 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 500.755 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 500.755 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 500.755 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 500.756 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 500.757 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 500.758 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 500.758 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 500.758 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 500.758 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 500.758 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 500.758 * [taylor]: Taking taylor expansion of 1/4 in n 500.758 * [backup-simplify]: Simplify 1/4 into 1/4 500.758 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 500.758 * [taylor]: Taking taylor expansion of (/ 1 k) in n 500.758 * [taylor]: Taking taylor expansion of k in n 500.759 * [backup-simplify]: Simplify k into k 500.759 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 500.759 * [taylor]: Taking taylor expansion of 1 in n 500.759 * [backup-simplify]: Simplify 1 into 1 500.759 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 500.759 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 500.759 * [taylor]: Taking taylor expansion of -2 in n 500.759 * [backup-simplify]: Simplify -2 into -2 500.759 * [taylor]: Taking taylor expansion of (/ PI n) in n 500.759 * [taylor]: Taking taylor expansion of PI in n 500.759 * [backup-simplify]: Simplify PI into PI 500.759 * [taylor]: Taking taylor expansion of n in n 500.759 * [backup-simplify]: Simplify 0 into 0 500.759 * [backup-simplify]: Simplify 1 into 1 500.759 * [backup-simplify]: Simplify (/ PI 1) into PI 500.760 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 500.761 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 500.761 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 500.761 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 500.762 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 500.763 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 500.765 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 500.765 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 500.765 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 500.765 * [taylor]: Taking taylor expansion of 1/4 in k 500.765 * [backup-simplify]: Simplify 1/4 into 1/4 500.765 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 500.765 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 500.765 * [taylor]: Taking taylor expansion of (/ 1 k) in k 500.765 * [taylor]: Taking taylor expansion of k in k 500.765 * [backup-simplify]: Simplify 0 into 0 500.765 * [backup-simplify]: Simplify 1 into 1 500.765 * [backup-simplify]: Simplify (/ 1 1) into 1 500.765 * [taylor]: Taking taylor expansion of 1 in k 500.765 * [backup-simplify]: Simplify 1 into 1 500.765 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 500.765 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 500.765 * [taylor]: Taking taylor expansion of (* -2 PI) in k 500.765 * [taylor]: Taking taylor expansion of -2 in k 500.765 * [backup-simplify]: Simplify -2 into -2 500.765 * [taylor]: Taking taylor expansion of PI in k 500.766 * [backup-simplify]: Simplify PI into PI 500.766 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 500.767 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 500.767 * [taylor]: Taking taylor expansion of (log n) in k 500.767 * [taylor]: Taking taylor expansion of n in k 500.767 * [backup-simplify]: Simplify n into n 500.767 * [backup-simplify]: Simplify (log n) into (log n) 500.767 * [backup-simplify]: Simplify (+ 1 0) into 1 500.768 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 500.769 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 500.770 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 500.770 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 500.772 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 500.773 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 500.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 500.774 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 500.776 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 500.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 500.776 * [backup-simplify]: Simplify (+ 0 0) into 0 500.777 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 500.778 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 500.779 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 500.781 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 500.782 * [taylor]: Taking taylor expansion of 0 in k 500.782 * [backup-simplify]: Simplify 0 into 0 500.782 * [backup-simplify]: Simplify 0 into 0 500.782 * [backup-simplify]: Simplify 0 into 0 500.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.784 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 500.787 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 500.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 500.788 * [backup-simplify]: Simplify (+ 0 0) into 0 500.789 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 500.791 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 500.792 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 500.795 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 500.795 * [taylor]: Taking taylor expansion of 0 in k 500.795 * [backup-simplify]: Simplify 0 into 0 500.795 * [backup-simplify]: Simplify 0 into 0 500.795 * [backup-simplify]: Simplify 0 into 0 500.795 * [backup-simplify]: Simplify 0 into 0 500.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.797 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 500.809 * [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 0 500.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 500.810 * [backup-simplify]: Simplify (+ 0 0) into 0 500.812 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 500.813 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 500.815 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 500.818 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 500.818 * [taylor]: Taking taylor expansion of 0 in k 500.818 * [backup-simplify]: Simplify 0 into 0 500.818 * [backup-simplify]: Simplify 0 into 0 500.820 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 500.820 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 500.820 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 500.820 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 500.820 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 500.820 * [taylor]: Taking taylor expansion of 2 in n 500.820 * [backup-simplify]: Simplify 2 into 2 500.820 * [taylor]: Taking taylor expansion of (* n PI) in n 500.820 * [taylor]: Taking taylor expansion of n in n 500.820 * [backup-simplify]: Simplify 0 into 0 500.820 * [backup-simplify]: Simplify 1 into 1 500.820 * [taylor]: Taking taylor expansion of PI in n 500.821 * [backup-simplify]: Simplify PI into PI 500.821 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 500.821 * [taylor]: Taking taylor expansion of 2 in n 500.821 * [backup-simplify]: Simplify 2 into 2 500.821 * [taylor]: Taking taylor expansion of (* n PI) in n 500.821 * [taylor]: Taking taylor expansion of n in n 500.821 * [backup-simplify]: Simplify 0 into 0 500.821 * [backup-simplify]: Simplify 1 into 1 500.821 * [taylor]: Taking taylor expansion of PI in n 500.821 * [backup-simplify]: Simplify PI into PI 500.821 * [backup-simplify]: Simplify (* 0 PI) into 0 500.822 * [backup-simplify]: Simplify (* 2 0) into 0 500.822 * [backup-simplify]: Simplify 0 into 0 500.823 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 500.825 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 500.825 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 500.826 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 500.827 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 500.828 * [backup-simplify]: Simplify 0 into 0 500.829 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 500.830 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 500.830 * [backup-simplify]: Simplify 0 into 0 500.831 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 500.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 500.832 * [backup-simplify]: Simplify 0 into 0 500.834 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 500.835 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 500.835 * [backup-simplify]: Simplify 0 into 0 500.837 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 500.839 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 500.839 * [backup-simplify]: Simplify 0 into 0 500.841 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 500.842 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 500.843 * [backup-simplify]: Simplify 0 into 0 500.843 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 500.844 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 500.844 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 500.844 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 500.844 * [taylor]: Taking taylor expansion of 2 in n 500.844 * [backup-simplify]: Simplify 2 into 2 500.844 * [taylor]: Taking taylor expansion of (/ PI n) in n 500.844 * [taylor]: Taking taylor expansion of PI in n 500.844 * [backup-simplify]: Simplify PI into PI 500.844 * [taylor]: Taking taylor expansion of n in n 500.844 * [backup-simplify]: Simplify 0 into 0 500.844 * [backup-simplify]: Simplify 1 into 1 500.844 * [backup-simplify]: Simplify (/ PI 1) into PI 500.844 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 500.844 * [taylor]: Taking taylor expansion of 2 in n 500.844 * [backup-simplify]: Simplify 2 into 2 500.844 * [taylor]: Taking taylor expansion of (/ PI n) in n 500.844 * [taylor]: Taking taylor expansion of PI in n 500.844 * [backup-simplify]: Simplify PI into PI 500.844 * [taylor]: Taking taylor expansion of n in n 500.844 * [backup-simplify]: Simplify 0 into 0 500.845 * [backup-simplify]: Simplify 1 into 1 500.845 * [backup-simplify]: Simplify (/ PI 1) into PI 500.846 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 500.846 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 500.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 500.848 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 500.848 * [backup-simplify]: Simplify 0 into 0 500.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.850 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 500.850 * [backup-simplify]: Simplify 0 into 0 500.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.852 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 500.852 * [backup-simplify]: Simplify 0 into 0 500.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.855 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 500.855 * [backup-simplify]: Simplify 0 into 0 500.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.857 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 500.858 * [backup-simplify]: Simplify 0 into 0 500.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.860 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 500.860 * [backup-simplify]: Simplify 0 into 0 500.861 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 500.861 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 500.861 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 500.861 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 500.861 * [taylor]: Taking taylor expansion of -2 in n 500.861 * [backup-simplify]: Simplify -2 into -2 500.861 * [taylor]: Taking taylor expansion of (/ PI n) in n 500.861 * [taylor]: Taking taylor expansion of PI in n 500.861 * [backup-simplify]: Simplify PI into PI 500.861 * [taylor]: Taking taylor expansion of n in n 500.862 * [backup-simplify]: Simplify 0 into 0 500.862 * [backup-simplify]: Simplify 1 into 1 500.862 * [backup-simplify]: Simplify (/ PI 1) into PI 500.862 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 500.862 * [taylor]: Taking taylor expansion of -2 in n 500.862 * [backup-simplify]: Simplify -2 into -2 500.862 * [taylor]: Taking taylor expansion of (/ PI n) in n 500.862 * [taylor]: Taking taylor expansion of PI in n 500.862 * [backup-simplify]: Simplify PI into PI 500.862 * [taylor]: Taking taylor expansion of n in n 500.862 * [backup-simplify]: Simplify 0 into 0 500.862 * [backup-simplify]: Simplify 1 into 1 500.863 * [backup-simplify]: Simplify (/ PI 1) into PI 500.863 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 500.864 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 500.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 500.865 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 500.865 * [backup-simplify]: Simplify 0 into 0 500.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.867 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 500.867 * [backup-simplify]: Simplify 0 into 0 500.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.869 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 500.869 * [backup-simplify]: Simplify 0 into 0 500.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.872 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 500.872 * [backup-simplify]: Simplify 0 into 0 500.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.874 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 500.874 * [backup-simplify]: Simplify 0 into 0 500.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.877 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 500.877 * [backup-simplify]: Simplify 0 into 0 500.877 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 500.877 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 500.878 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 500.878 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 500.878 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 500.878 * [taylor]: Taking taylor expansion of 2 in n 500.878 * [backup-simplify]: Simplify 2 into 2 500.878 * [taylor]: Taking taylor expansion of (* n PI) in n 500.878 * [taylor]: Taking taylor expansion of n in n 500.878 * [backup-simplify]: Simplify 0 into 0 500.878 * [backup-simplify]: Simplify 1 into 1 500.878 * [taylor]: Taking taylor expansion of PI in n 500.878 * [backup-simplify]: Simplify PI into PI 500.878 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 500.878 * [taylor]: Taking taylor expansion of 2 in n 500.878 * [backup-simplify]: Simplify 2 into 2 500.878 * [taylor]: Taking taylor expansion of (* n PI) in n 500.878 * [taylor]: Taking taylor expansion of n in n 500.878 * [backup-simplify]: Simplify 0 into 0 500.878 * [backup-simplify]: Simplify 1 into 1 500.878 * [taylor]: Taking taylor expansion of PI in n 500.878 * [backup-simplify]: Simplify PI into PI 500.879 * [backup-simplify]: Simplify (* 0 PI) into 0 500.879 * [backup-simplify]: Simplify (* 2 0) into 0 500.879 * [backup-simplify]: Simplify 0 into 0 500.881 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 500.882 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 500.883 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 500.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 500.885 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 500.885 * [backup-simplify]: Simplify 0 into 0 500.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 500.887 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 500.887 * [backup-simplify]: Simplify 0 into 0 500.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 500.890 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 500.890 * [backup-simplify]: Simplify 0 into 0 500.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 500.893 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 500.893 * [backup-simplify]: Simplify 0 into 0 500.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 500.896 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 500.896 * [backup-simplify]: Simplify 0 into 0 500.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 500.899 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 500.900 * [backup-simplify]: Simplify 0 into 0 500.900 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 500.901 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 500.901 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 500.901 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 500.901 * [taylor]: Taking taylor expansion of 2 in n 500.901 * [backup-simplify]: Simplify 2 into 2 500.901 * [taylor]: Taking taylor expansion of (/ PI n) in n 500.901 * [taylor]: Taking taylor expansion of PI in n 500.901 * [backup-simplify]: Simplify PI into PI 500.901 * [taylor]: Taking taylor expansion of n in n 500.901 * [backup-simplify]: Simplify 0 into 0 500.901 * [backup-simplify]: Simplify 1 into 1 500.901 * [backup-simplify]: Simplify (/ PI 1) into PI 500.901 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 500.901 * [taylor]: Taking taylor expansion of 2 in n 500.901 * [backup-simplify]: Simplify 2 into 2 500.901 * [taylor]: Taking taylor expansion of (/ PI n) in n 500.901 * [taylor]: Taking taylor expansion of PI in n 500.901 * [backup-simplify]: Simplify PI into PI 500.901 * [taylor]: Taking taylor expansion of n in n 500.901 * [backup-simplify]: Simplify 0 into 0 500.901 * [backup-simplify]: Simplify 1 into 1 500.902 * [backup-simplify]: Simplify (/ PI 1) into PI 500.902 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 500.903 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 500.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 500.904 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 500.904 * [backup-simplify]: Simplify 0 into 0 500.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.906 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 500.906 * [backup-simplify]: Simplify 0 into 0 500.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.909 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 500.909 * [backup-simplify]: Simplify 0 into 0 500.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.911 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 500.911 * [backup-simplify]: Simplify 0 into 0 500.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.914 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 500.914 * [backup-simplify]: Simplify 0 into 0 500.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.916 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 500.916 * [backup-simplify]: Simplify 0 into 0 500.917 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 500.917 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 500.917 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 500.917 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 500.917 * [taylor]: Taking taylor expansion of -2 in n 500.917 * [backup-simplify]: Simplify -2 into -2 500.917 * [taylor]: Taking taylor expansion of (/ PI n) in n 500.917 * [taylor]: Taking taylor expansion of PI in n 500.918 * [backup-simplify]: Simplify PI into PI 500.918 * [taylor]: Taking taylor expansion of n in n 500.918 * [backup-simplify]: Simplify 0 into 0 500.918 * [backup-simplify]: Simplify 1 into 1 500.918 * [backup-simplify]: Simplify (/ PI 1) into PI 500.918 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 500.918 * [taylor]: Taking taylor expansion of -2 in n 500.918 * [backup-simplify]: Simplify -2 into -2 500.918 * [taylor]: Taking taylor expansion of (/ PI n) in n 500.918 * [taylor]: Taking taylor expansion of PI in n 500.918 * [backup-simplify]: Simplify PI into PI 500.918 * [taylor]: Taking taylor expansion of n in n 500.918 * [backup-simplify]: Simplify 0 into 0 500.918 * [backup-simplify]: Simplify 1 into 1 500.919 * [backup-simplify]: Simplify (/ PI 1) into PI 500.919 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 500.920 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 500.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 500.921 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 500.921 * [backup-simplify]: Simplify 0 into 0 500.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.923 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 500.923 * [backup-simplify]: Simplify 0 into 0 500.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.925 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 500.925 * [backup-simplify]: Simplify 0 into 0 500.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.928 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 500.928 * [backup-simplify]: Simplify 0 into 0 500.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.930 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 500.930 * [backup-simplify]: Simplify 0 into 0 500.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 500.933 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 500.933 * [backup-simplify]: Simplify 0 into 0 500.933 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 500.934 * * * [progress]: simplifying candidates 500.934 * * * * [progress]: [ 1 / 226 ] simplifiying candidate # 500.934 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) 500.934 * * [simplify]: iters left: 6 (14 enodes) 500.942 * * [simplify]: iters left: 5 (60 enodes) 500.968 * * [simplify]: iters left: 4 (108 enodes) 501.007 * * [simplify]: iters left: 3 (252 enodes) 501.082 * * [simplify]: Extracting #0: cost 1 inf + 0 501.082 * * [simplify]: Extracting #1: cost 27 inf + 0 501.082 * * [simplify]: Extracting #2: cost 96 inf + 2 501.083 * * [simplify]: Extracting #3: cost 158 inf + 77 501.086 * * [simplify]: Extracting #4: cost 100 inf + 8570 501.095 * * [simplify]: Extracting #5: cost 19 inf + 28573 501.107 * * [simplify]: Extracting #6: cost 0 inf + 33841 501.115 * * [simplify]: Extracting #7: cost 0 inf + 33761 501.121 * [simplify]: Simplified to (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k))) 501.121 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))) (sqrt k)))) 501.121 * * * * [progress]: [ 2 / 226 ] simplifiying candidate # 501.122 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 501.122 * * [simplify]: iters left: 6 (13 enodes) 501.126 * * [simplify]: iters left: 5 (58 enodes) 501.136 * * [simplify]: iters left: 4 (101 enodes) 501.168 * * [simplify]: iters left: 3 (210 enodes) 501.238 * * [simplify]: Extracting #0: cost 1 inf + 0 501.238 * * [simplify]: Extracting #1: cost 24 inf + 0 501.239 * * [simplify]: Extracting #2: cost 85 inf + 2 501.239 * * [simplify]: Extracting #3: cost 143 inf + 160 501.240 * * [simplify]: Extracting #4: cost 87 inf + 7821 501.244 * * [simplify]: Extracting #5: cost 25 inf + 21404 501.251 * * [simplify]: Extracting #6: cost 4 inf + 26719 501.261 * * [simplify]: Extracting #7: cost 0 inf + 27452 501.272 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) 501.272 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (sqrt k)))) 501.272 * * * * [progress]: [ 3 / 226 ] simplifiying candidate # 501.272 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 501.272 * * [simplify]: iters left: 6 (12 enodes) 501.280 * * [simplify]: iters left: 5 (57 enodes) 501.303 * * [simplify]: iters left: 4 (111 enodes) 501.331 * * [simplify]: iters left: 3 (214 enodes) 501.390 * * [simplify]: iters left: 2 (490 enodes) 501.524 * * [simplify]: Extracting #0: cost 1 inf + 0 501.524 * * [simplify]: Extracting #1: cost 38 inf + 0 501.525 * * [simplify]: Extracting #2: cost 193 inf + 4 501.527 * * [simplify]: Extracting #3: cost 287 inf + 867 501.533 * * [simplify]: Extracting #4: cost 206 inf + 12914 501.555 * * [simplify]: Extracting #5: cost 45 inf + 45918 501.578 * * [simplify]: Extracting #6: cost 0 inf + 56650 501.602 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4) 501.602 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) (sqrt k)))) 501.602 * * * * [progress]: [ 4 / 226 ] simplifiying candidate # 501.603 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 501.603 * * [simplify]: iters left: 6 (12 enodes) 501.611 * * [simplify]: iters left: 5 (57 enodes) 501.630 * * [simplify]: iters left: 4 (111 enodes) 501.666 * * [simplify]: iters left: 3 (214 enodes) 501.738 * * [simplify]: iters left: 2 (490 enodes) 501.906 * * [simplify]: Extracting #0: cost 1 inf + 0 501.906 * * [simplify]: Extracting #1: cost 38 inf + 0 501.906 * * [simplify]: Extracting #2: cost 193 inf + 4 501.908 * * [simplify]: Extracting #3: cost 287 inf + 867 501.910 * * [simplify]: Extracting #4: cost 206 inf + 12914 501.927 * * [simplify]: Extracting #5: cost 45 inf + 45918 501.939 * * [simplify]: Extracting #6: cost 0 inf + 56650 501.950 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4) 501.950 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) (sqrt k)))) 501.951 * * * * [progress]: [ 5 / 226 ] simplifiying candidate # 501.951 * [simplify]: Simplifying (* 1 (/ (/ (- 1 k) 2) 2)) 501.951 * * [simplify]: iters left: 6 (7 enodes) 501.954 * * [simplify]: iters left: 5 (33 enodes) 501.970 * * [simplify]: iters left: 4 (59 enodes) 501.988 * * [simplify]: iters left: 3 (83 enodes) 502.009 * * [simplify]: iters left: 2 (117 enodes) 502.027 * * [simplify]: iters left: 1 (156 enodes) 502.066 * * [simplify]: Extracting #0: cost 1 inf + 0 502.066 * * [simplify]: Extracting #1: cost 16 inf + 0 502.066 * * [simplify]: Extracting #2: cost 31 inf + 5 502.066 * * [simplify]: Extracting #3: cost 33 inf + 49 502.067 * * [simplify]: Extracting #4: cost 11 inf + 1503 502.067 * * [simplify]: Extracting #5: cost 2 inf + 2201 502.068 * * [simplify]: Extracting #6: cost 0 inf + 2405 502.069 * [simplify]: Simplified to (/ (- 1 k) 4) 502.069 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)))) 502.070 * * * * [progress]: [ 6 / 226 ] simplifiying candidate # 502.070 * [simplify]: Simplifying (* 1 (/ (/ (- 1 k) 2) 2)) 502.070 * * [simplify]: iters left: 6 (7 enodes) 502.073 * * [simplify]: iters left: 5 (33 enodes) 502.081 * * [simplify]: iters left: 4 (59 enodes) 502.099 * * [simplify]: iters left: 3 (83 enodes) 502.117 * * [simplify]: iters left: 2 (117 enodes) 502.135 * * [simplify]: iters left: 1 (156 enodes) 502.188 * * [simplify]: Extracting #0: cost 1 inf + 0 502.188 * * [simplify]: Extracting #1: cost 16 inf + 0 502.188 * * [simplify]: Extracting #2: cost 31 inf + 5 502.189 * * [simplify]: Extracting #3: cost 33 inf + 49 502.189 * * [simplify]: Extracting #4: cost 11 inf + 1503 502.191 * * [simplify]: Extracting #5: cost 2 inf + 2201 502.192 * * [simplify]: Extracting #6: cost 0 inf + 2405 502.194 * [simplify]: Simplified to (/ (- 1 k) 4) 502.194 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)))) 502.194 * * * * [progress]: [ 7 / 226 ] simplifiying candidate # 502.195 * [simplify]: Simplifying (* 1 (/ (/ (- 1 k) 2) 2)) 502.195 * * [simplify]: iters left: 6 (7 enodes) 502.200 * * [simplify]: iters left: 5 (33 enodes) 502.212 * * [simplify]: iters left: 4 (59 enodes) 502.222 * * [simplify]: iters left: 3 (83 enodes) 502.236 * * [simplify]: iters left: 2 (117 enodes) 502.264 * * [simplify]: iters left: 1 (156 enodes) 502.323 * * [simplify]: Extracting #0: cost 1 inf + 0 502.323 * * [simplify]: Extracting #1: cost 16 inf + 0 502.323 * * [simplify]: Extracting #2: cost 31 inf + 5 502.323 * * [simplify]: Extracting #3: cost 33 inf + 49 502.324 * * [simplify]: Extracting #4: cost 11 inf + 1503 502.326 * * [simplify]: Extracting #5: cost 2 inf + 2201 502.327 * * [simplify]: Extracting #6: cost 0 inf + 2405 502.329 * [simplify]: Simplified to (/ (- 1 k) 4) 502.329 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)))) 502.329 * * * * [progress]: [ 8 / 226 ] simplifiying candidate # 502.330 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) 502.330 * * [simplify]: iters left: 5 (9 enodes) 502.338 * * [simplify]: iters left: 4 (42 enodes) 502.354 * * [simplify]: iters left: 3 (71 enodes) 502.368 * * [simplify]: iters left: 2 (117 enodes) 502.393 * * [simplify]: iters left: 1 (181 enodes) 502.435 * * [simplify]: Extracting #0: cost 1 inf + 0 502.435 * * [simplify]: Extracting #1: cost 12 inf + 0 502.435 * * [simplify]: Extracting #2: cost 40 inf + 2 502.435 * * [simplify]: Extracting #3: cost 39 inf + 51 502.435 * * [simplify]: Extracting #4: cost 26 inf + 2784 502.437 * * [simplify]: Extracting #5: cost 4 inf + 12523 502.438 * * [simplify]: Extracting #6: cost 0 inf + 14914 502.440 * [simplify]: Simplified to (pow (* (* PI 2) n) 1/4) 502.440 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (/ (pow (* (* PI 2) n) 1/4) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) (sqrt k)))) 502.440 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 502.440 * * [simplify]: iters left: 5 (9 enodes) 502.443 * * [simplify]: iters left: 4 (37 enodes) 502.449 * * [simplify]: iters left: 3 (57 enodes) 502.459 * * [simplify]: iters left: 2 (93 enodes) 502.476 * * [simplify]: iters left: 1 (170 enodes) 502.542 * * [simplify]: Extracting #0: cost 1 inf + 0 502.542 * * [simplify]: Extracting #1: cost 13 inf + 0 502.542 * * [simplify]: Extracting #2: cost 59 inf + 1 502.543 * * [simplify]: Extracting #3: cost 78 inf + 176 502.544 * * [simplify]: Extracting #4: cost 40 inf + 3875 502.549 * * [simplify]: Extracting #5: cost 7 inf + 16988 502.554 * * [simplify]: Extracting #6: cost 0 inf + 20577 502.560 * * [simplify]: Extracting #7: cost 0 inf + 20336 502.567 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 502.567 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))) (sqrt k)))) 502.567 * * * * [progress]: [ 9 / 226 ] simplifiying candidate # 502.567 * [simplify]: Simplifying (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) 502.567 * * [simplify]: iters left: 6 (13 enodes) 502.575 * * [simplify]: iters left: 5 (57 enodes) 502.584 * * [simplify]: iters left: 4 (91 enodes) 502.598 * * [simplify]: iters left: 3 (136 enodes) 502.640 * * [simplify]: iters left: 2 (218 enodes) 502.710 * * [simplify]: iters left: 1 (388 enodes) 502.890 * * [simplify]: Extracting #0: cost 1 inf + 0 502.891 * * [simplify]: Extracting #1: cost 29 inf + 0 502.891 * * [simplify]: Extracting #2: cost 119 inf + 1 502.892 * * [simplify]: Extracting #3: cost 204 inf + 217 502.895 * * [simplify]: Extracting #4: cost 216 inf + 429 502.896 * * [simplify]: Extracting #5: cost 223 inf + 430 502.898 * * [simplify]: Extracting #6: cost 182 inf + 8494 502.910 * * [simplify]: Extracting #7: cost 78 inf + 35629 502.931 * * [simplify]: Extracting #8: cost 38 inf + 65026 502.960 * * [simplify]: Extracting #9: cost 0 inf + 105210 502.979 * * [simplify]: Extracting #10: cost 0 inf + 102091 503.013 * * [simplify]: Extracting #11: cost 0 inf + 100186 503.033 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 4)) (cbrt (/ (- 1 k) 4)))) 503.033 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 4)) (cbrt (/ (- 1 k) 4)))) (cbrt (/ (/ (- 1 k) 2) 2))) (sqrt k)))) 503.033 * * * * [progress]: [ 10 / 226 ] simplifiying candidate # 503.034 * [simplify]: Simplifying (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) 503.034 * * [simplify]: iters left: 6 (12 enodes) 503.038 * * [simplify]: iters left: 5 (54 enodes) 503.051 * * [simplify]: iters left: 4 (86 enodes) 503.076 * * [simplify]: iters left: 3 (123 enodes) 503.107 * * [simplify]: iters left: 2 (182 enodes) 503.144 * * [simplify]: iters left: 1 (307 enodes) 503.243 * * [simplify]: Extracting #0: cost 1 inf + 0 503.243 * * [simplify]: Extracting #1: cost 27 inf + 0 503.244 * * [simplify]: Extracting #2: cost 98 inf + 1 503.245 * * [simplify]: Extracting #3: cost 131 inf + 175 503.246 * * [simplify]: Extracting #4: cost 131 inf + 431 503.247 * * [simplify]: Extracting #5: cost 130 inf + 598 503.250 * * [simplify]: Extracting #6: cost 99 inf + 4572 503.257 * * [simplify]: Extracting #7: cost 53 inf + 20362 503.269 * * [simplify]: Extracting #8: cost 8 inf + 60052 503.280 * * [simplify]: Extracting #9: cost 0 inf + 67958 503.290 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 4))) 503.290 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 4))) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt k)))) 503.290 * * * * [progress]: [ 11 / 226 ] simplifiying candidate # 503.291 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) 503.291 * * [simplify]: iters left: 6 (15 enodes) 503.299 * * [simplify]: iters left: 5 (66 enodes) 503.310 * * [simplify]: iters left: 4 (115 enodes) 503.334 * * [simplify]: iters left: 3 (199 enodes) 503.385 * * [simplify]: iters left: 2 (451 enodes) 503.621 * * [simplify]: Extracting #0: cost 1 inf + 0 503.621 * * [simplify]: Extracting #1: cost 13 inf + 0 503.621 * * [simplify]: Extracting #2: cost 110 inf + 1 503.622 * * [simplify]: Extracting #3: cost 232 inf + 173 503.623 * * [simplify]: Extracting #4: cost 236 inf + 1151 503.625 * * [simplify]: Extracting #5: cost 220 inf + 4022 503.628 * * [simplify]: Extracting #6: cost 163 inf + 20966 503.641 * * [simplify]: Extracting #7: cost 25 inf + 75480 503.676 * * [simplify]: Extracting #8: cost 0 inf + 95233 503.717 * * [simplify]: Extracting #9: cost 0 inf + 93560 503.735 * * [simplify]: Extracting #10: cost 0 inf + 92880 503.759 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)))) 503.759 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt k)))) 503.760 * * * * [progress]: [ 12 / 226 ] simplifiying candidate # 503.760 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) 503.760 * * [simplify]: iters left: 6 (14 enodes) 503.768 * * [simplify]: iters left: 5 (59 enodes) 503.779 * * [simplify]: iters left: 4 (93 enodes) 503.794 * * [simplify]: iters left: 3 (149 enodes) 503.844 * * [simplify]: iters left: 2 (289 enodes) 503.983 * * [simplify]: Extracting #0: cost 1 inf + 0 503.983 * * [simplify]: Extracting #1: cost 12 inf + 0 503.983 * * [simplify]: Extracting #2: cost 84 inf + 1 503.984 * * [simplify]: Extracting #3: cost 147 inf + 48 503.985 * * [simplify]: Extracting #4: cost 141 inf + 1153 503.987 * * [simplify]: Extracting #5: cost 139 inf + 1807 503.988 * * [simplify]: Extracting #6: cost 139 inf + 1728 503.990 * * [simplify]: Extracting #7: cost 131 inf + 2264 503.997 * * [simplify]: Extracting #8: cost 62 inf + 22751 504.014 * * [simplify]: Extracting #9: cost 6 inf + 52862 504.026 * * [simplify]: Extracting #10: cost 0 inf + 58480 504.037 * * [simplify]: Extracting #11: cost 0 inf + 58350 504.054 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) 504.054 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (sqrt k)))) 504.055 * * * * [progress]: [ 13 / 226 ] simplifiying candidate # 504.055 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) 504.055 * * [simplify]: iters left: 6 (13 enodes) 504.059 * * [simplify]: iters left: 5 (54 enodes) 504.068 * * [simplify]: iters left: 4 (94 enodes) 504.084 * * [simplify]: iters left: 3 (138 enodes) 504.106 * * [simplify]: iters left: 2 (240 enodes) 504.178 * * [simplify]: iters left: 1 (482 enodes) 504.637 * * [simplify]: Extracting #0: cost 1 inf + 0 504.637 * * [simplify]: Extracting #1: cost 37 inf + 0 504.637 * * [simplify]: Extracting #2: cost 143 inf + 1 504.638 * * [simplify]: Extracting #3: cost 220 inf + 178 504.639 * * [simplify]: Extracting #4: cost 221 inf + 432 504.641 * * [simplify]: Extracting #5: cost 226 inf + 432 504.642 * * [simplify]: Extracting #6: cost 206 inf + 3898 504.653 * * [simplify]: Extracting #7: cost 104 inf + 30071 504.667 * * [simplify]: Extracting #8: cost 38 inf + 76484 504.690 * * [simplify]: Extracting #9: cost 1 inf + 117819 504.719 * * [simplify]: Extracting #10: cost 0 inf + 118972 504.750 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 504.750 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (/ (cbrt (/ (- 1 k) 2)) 2)) (sqrt k)))) 504.750 * * * * [progress]: [ 14 / 226 ] simplifiying candidate # 504.750 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) 504.750 * * [simplify]: iters left: 6 (14 enodes) 504.754 * * [simplify]: iters left: 5 (59 enodes) 504.766 * * [simplify]: iters left: 4 (91 enodes) 504.793 * * [simplify]: iters left: 3 (141 enodes) 504.818 * * [simplify]: iters left: 2 (263 enodes) 504.877 * * [simplify]: Extracting #0: cost 1 inf + 0 504.877 * * [simplify]: Extracting #1: cost 13 inf + 0 504.878 * * [simplify]: Extracting #2: cost 78 inf + 1 504.878 * * [simplify]: Extracting #3: cost 138 inf + 6 504.879 * * [simplify]: Extracting #4: cost 122 inf + 2882 504.880 * * [simplify]: Extracting #5: cost 110 inf + 5153 504.881 * * [simplify]: Extracting #6: cost 106 inf + 5685 504.884 * * [simplify]: Extracting #7: cost 59 inf + 17800 504.889 * * [simplify]: Extracting #8: cost 19 inf + 38068 504.905 * * [simplify]: Extracting #9: cost 1 inf + 53840 504.915 * * [simplify]: Extracting #10: cost 0 inf + 54879 504.924 * * [simplify]: Extracting #11: cost 0 inf + 54800 504.935 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) 504.935 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt k)))) 504.935 * * * * [progress]: [ 15 / 226 ] simplifiying candidate # 504.936 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) 504.936 * * [simplify]: iters left: 6 (13 enodes) 504.943 * * [simplify]: iters left: 5 (54 enodes) 504.960 * * [simplify]: iters left: 4 (82 enodes) 504.975 * * [simplify]: iters left: 3 (123 enodes) 504.995 * * [simplify]: iters left: 2 (207 enodes) 505.051 * * [simplify]: iters left: 1 (382 enodes) 505.287 * * [simplify]: Extracting #0: cost 1 inf + 0 505.287 * * [simplify]: Extracting #1: cost 28 inf + 0 505.288 * * [simplify]: Extracting #2: cost 142 inf + 1 505.289 * * [simplify]: Extracting #3: cost 256 inf + 176 505.290 * * [simplify]: Extracting #4: cost 257 inf + 553 505.292 * * [simplify]: Extracting #5: cost 222 inf + 4749 505.294 * * [simplify]: Extracting #6: cost 214 inf + 5446 505.298 * * [simplify]: Extracting #7: cost 144 inf + 23446 505.318 * * [simplify]: Extracting #8: cost 27 inf + 75825 505.355 * * [simplify]: Extracting #9: cost 0 inf + 100639 505.382 * * [simplify]: Extracting #10: cost 0 inf + 99987 505.402 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) 505.402 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (sqrt k)))) 505.403 * * * * [progress]: [ 16 / 226 ] simplifiying candidate # 505.403 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) 505.403 * * [simplify]: iters left: 6 (12 enodes) 505.410 * * [simplify]: iters left: 5 (49 enodes) 505.425 * * [simplify]: iters left: 4 (75 enodes) 505.448 * * [simplify]: iters left: 3 (111 enodes) 505.466 * * [simplify]: iters left: 2 (170 enodes) 505.525 * * [simplify]: iters left: 1 (293 enodes) 505.656 * * [simplify]: Extracting #0: cost 1 inf + 0 505.656 * * [simplify]: Extracting #1: cost 29 inf + 0 505.657 * * [simplify]: Extracting #2: cost 99 inf + 1 505.658 * * [simplify]: Extracting #3: cost 127 inf + 217 505.659 * * [simplify]: Extracting #4: cost 127 inf + 430 505.660 * * [simplify]: Extracting #5: cost 126 inf + 473 505.662 * * [simplify]: Extracting #6: cost 120 inf + 845 505.666 * * [simplify]: Extracting #7: cost 83 inf + 10392 505.680 * * [simplify]: Extracting #8: cost 25 inf + 41709 505.704 * * [simplify]: Extracting #9: cost 2 inf + 63422 505.730 * * [simplify]: Extracting #10: cost 0 inf + 65616 505.760 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) 505.760 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) (/ (sqrt (/ (- 1 k) 2)) 2)) (sqrt k)))) 505.760 * * * * [progress]: [ 17 / 226 ] simplifiying candidate # 505.761 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 505.761 * * [simplify]: iters left: 6 (15 enodes) 505.770 * * [simplify]: iters left: 5 (66 enodes) 505.792 * * [simplify]: iters left: 4 (132 enodes) 505.821 * * [simplify]: iters left: 3 (261 enodes) 505.935 * * [simplify]: Extracting #0: cost 1 inf + 0 505.935 * * [simplify]: Extracting #1: cost 11 inf + 0 505.935 * * [simplify]: Extracting #2: cost 98 inf + 0 505.936 * * [simplify]: Extracting #3: cost 179 inf + 256 505.937 * * [simplify]: Extracting #4: cost 179 inf + 749 505.939 * * [simplify]: Extracting #5: cost 120 inf + 14936 505.946 * * [simplify]: Extracting #6: cost 25 inf + 44518 505.956 * * [simplify]: Extracting #7: cost 5 inf + 52635 505.973 * * [simplify]: Extracting #8: cost 0 inf + 57235 505.985 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) 2))) 505.986 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))) (sqrt k)))) 505.986 * * * * [progress]: [ 18 / 226 ] simplifiying candidate # 505.986 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 505.986 * * [simplify]: iters left: 6 (16 enodes) 505.991 * * [simplify]: iters left: 5 (67 enodes) 506.011 * * [simplify]: iters left: 4 (124 enodes) 506.044 * * [simplify]: iters left: 3 (245 enodes) 506.132 * * [simplify]: Extracting #0: cost 1 inf + 0 506.132 * * [simplify]: Extracting #1: cost 11 inf + 0 506.132 * * [simplify]: Extracting #2: cost 113 inf + 0 506.134 * * [simplify]: Extracting #3: cost 219 inf + 172 506.135 * * [simplify]: Extracting #4: cost 210 inf + 1275 506.139 * * [simplify]: Extracting #5: cost 163 inf + 12194 506.150 * * [simplify]: Extracting #6: cost 15 inf + 65842 506.162 * * [simplify]: Extracting #7: cost 0 inf + 72642 506.177 * * [simplify]: Extracting #8: cost 0 inf + 72483 506.205 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 506.205 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (* (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (sqrt k)))) 506.205 * * * * [progress]: [ 19 / 226 ] simplifiying candidate # 506.206 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) 506.206 * * [simplify]: iters left: 6 (15 enodes) 506.214 * * [simplify]: iters left: 5 (64 enodes) 506.238 * * [simplify]: iters left: 4 (131 enodes) 506.283 * * [simplify]: iters left: 3 (239 enodes) 506.337 * * [simplify]: Extracting #0: cost 1 inf + 0 506.337 * * [simplify]: Extracting #1: cost 12 inf + 0 506.338 * * [simplify]: Extracting #2: cost 75 inf + 0 506.338 * * [simplify]: Extracting #3: cost 141 inf + 47 506.339 * * [simplify]: Extracting #4: cost 135 inf + 1554 506.340 * * [simplify]: Extracting #5: cost 128 inf + 2489 506.342 * * [simplify]: Extracting #6: cost 65 inf + 22138 506.350 * * [simplify]: Extracting #7: cost 2 inf + 49864 506.361 * * [simplify]: Extracting #8: cost 0 inf + 50287 506.376 * * [simplify]: Extracting #9: cost 0 inf + 50205 506.392 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 506.392 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)) (sqrt k)))) 506.392 * * * * [progress]: [ 20 / 226 ] simplifiying candidate # 506.393 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 506.393 * * [simplify]: iters left: 6 (16 enodes) 506.404 * * [simplify]: iters left: 5 (65 enodes) 506.430 * * [simplify]: iters left: 4 (115 enodes) 506.463 * * [simplify]: iters left: 3 (240 enodes) 506.554 * * [simplify]: Extracting #0: cost 1 inf + 0 506.554 * * [simplify]: Extracting #1: cost 11 inf + 0 506.554 * * [simplify]: Extracting #2: cost 113 inf + 0 506.556 * * [simplify]: Extracting #3: cost 228 inf + 172 506.558 * * [simplify]: Extracting #4: cost 220 inf + 1834 506.562 * * [simplify]: Extracting #5: cost 166 inf + 12543 506.572 * * [simplify]: Extracting #6: cost 49 inf + 55076 506.585 * * [simplify]: Extracting #7: cost 1 inf + 75637 506.598 * * [simplify]: Extracting #8: cost 0 inf + 75195 506.611 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2))) 506.611 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (sqrt k)))) 506.612 * * * * [progress]: [ 21 / 226 ] simplifiying candidate # 506.612 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) 506.612 * * [simplify]: iters left: 6 (14 enodes) 506.617 * * [simplify]: iters left: 5 (57 enodes) 506.640 * * [simplify]: iters left: 4 (89 enodes) 506.658 * * [simplify]: iters left: 3 (148 enodes) 506.685 * * [simplify]: iters left: 2 (319 enodes) 506.817 * * [simplify]: Extracting #0: cost 1 inf + 0 506.817 * * [simplify]: Extracting #1: cost 13 inf + 0 506.818 * * [simplify]: Extracting #2: cost 89 inf + 1 506.819 * * [simplify]: Extracting #3: cost 168 inf + 6 506.821 * * [simplify]: Extracting #4: cost 160 inf + 1073 506.825 * * [simplify]: Extracting #5: cost 112 inf + 11315 506.837 * * [simplify]: Extracting #6: cost 37 inf + 30043 506.852 * * [simplify]: Extracting #7: cost 7 inf + 47889 506.862 * * [simplify]: Extracting #8: cost 0 inf + 53475 506.875 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ 2 (cbrt (- 1 k))))) 506.875 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ 2 (cbrt (- 1 k))))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))) (sqrt k)))) 506.875 * * * * [progress]: [ 22 / 226 ] simplifiying candidate # 506.876 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) 506.876 * * [simplify]: iters left: 6 (14 enodes) 506.880 * * [simplify]: iters left: 5 (55 enodes) 506.893 * * [simplify]: iters left: 4 (92 enodes) 506.925 * * [simplify]: iters left: 3 (161 enodes) 506.974 * * [simplify]: iters left: 2 (340 enodes) 507.151 * * [simplify]: Extracting #0: cost 1 inf + 0 507.151 * * [simplify]: Extracting #1: cost 12 inf + 0 507.151 * * [simplify]: Extracting #2: cost 81 inf + 1 507.152 * * [simplify]: Extracting #3: cost 159 inf + 7 507.152 * * [simplify]: Extracting #4: cost 151 inf + 1116 507.153 * * [simplify]: Extracting #5: cost 141 inf + 1937 507.155 * * [simplify]: Extracting #6: cost 121 inf + 5594 507.164 * * [simplify]: Extracting #7: cost 45 inf + 23808 507.173 * * [simplify]: Extracting #8: cost 6 inf + 47818 507.193 * * [simplify]: Extracting #9: cost 0 inf + 52841 507.214 * * [simplify]: Extracting #10: cost 0 inf + 52338 507.235 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) 507.235 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)) (sqrt k)))) 507.235 * * * * [progress]: [ 23 / 226 ] simplifiying candidate # 507.236 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) 507.236 * * [simplify]: iters left: 6 (15 enodes) 507.244 * * [simplify]: iters left: 5 (60 enodes) 507.264 * * [simplify]: iters left: 4 (113 enodes) 507.306 * * [simplify]: iters left: 3 (218 enodes) 507.389 * * [simplify]: Extracting #0: cost 1 inf + 0 507.389 * * [simplify]: Extracting #1: cost 10 inf + 0 507.389 * * [simplify]: Extracting #2: cost 80 inf + 0 507.390 * * [simplify]: Extracting #3: cost 149 inf + 5 507.390 * * [simplify]: Extracting #4: cost 139 inf + 1268 507.391 * * [simplify]: Extracting #5: cost 118 inf + 4108 507.395 * * [simplify]: Extracting #6: cost 31 inf + 31012 507.402 * * [simplify]: Extracting #7: cost 0 inf + 44232 507.413 * * [simplify]: Extracting #8: cost 0 inf + 43914 507.428 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 507.428 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))) (sqrt k)))) 507.428 * * * * [progress]: [ 24 / 226 ] simplifiying candidate # 507.428 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) 507.429 * * [simplify]: iters left: 6 (14 enodes) 507.436 * * [simplify]: iters left: 5 (55 enodes) 507.454 * * [simplify]: iters left: 4 (95 enodes) 507.487 * * [simplify]: iters left: 3 (163 enodes) 507.529 * * [simplify]: iters left: 2 (335 enodes) 507.654 * * [simplify]: Extracting #0: cost 1 inf + 0 507.654 * * [simplify]: Extracting #1: cost 13 inf + 0 507.654 * * [simplify]: Extracting #2: cost 89 inf + 1 507.655 * * [simplify]: Extracting #3: cost 164 inf + 7 507.655 * * [simplify]: Extracting #4: cost 150 inf + 1361 507.657 * * [simplify]: Extracting #5: cost 138 inf + 2953 507.661 * * [simplify]: Extracting #6: cost 54 inf + 25589 507.670 * * [simplify]: Extracting #7: cost 5 inf + 48782 507.680 * * [simplify]: Extracting #8: cost 0 inf + 52731 507.692 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ (sqrt 2) (cbrt (- 1 k))))) 507.692 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ (sqrt 2) (cbrt (- 1 k))))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))) (sqrt k)))) 507.692 * * * * [progress]: [ 25 / 226 ] simplifiying candidate # 507.693 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) 507.693 * * [simplify]: iters left: 6 (13 enodes) 507.700 * * [simplify]: iters left: 5 (50 enodes) 507.718 * * [simplify]: iters left: 4 (92 enodes) 507.744 * * [simplify]: iters left: 3 (138 enodes) 507.768 * * [simplify]: iters left: 2 (270 enodes) 507.867 * * [simplify]: Extracting #0: cost 1 inf + 0 507.867 * * [simplify]: Extracting #1: cost 19 inf + 0 507.868 * * [simplify]: Extracting #2: cost 106 inf + 1 507.868 * * [simplify]: Extracting #3: cost 134 inf + 215 507.869 * * [simplify]: Extracting #4: cost 137 inf + 427 507.869 * * [simplify]: Extracting #5: cost 136 inf + 470 507.870 * * [simplify]: Extracting #6: cost 130 inf + 1041 507.872 * * [simplify]: Extracting #7: cost 94 inf + 9157 507.876 * * [simplify]: Extracting #8: cost 56 inf + 24782 507.887 * * [simplify]: Extracting #9: cost 4 inf + 58277 507.897 * * [simplify]: Extracting #10: cost 0 inf + 60382 507.908 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) 507.908 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (/ (cbrt (- 1 k)) 2) 2)) (sqrt k)))) 507.909 * * * * [progress]: [ 26 / 226 ] simplifiying candidate # 507.909 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 507.909 * * [simplify]: iters left: 6 (14 enodes) 507.913 * * [simplify]: iters left: 5 (59 enodes) 507.933 * * [simplify]: iters left: 4 (100 enodes) 507.950 * * [simplify]: iters left: 3 (169 enodes) 507.995 * * [simplify]: iters left: 2 (357 enodes) 508.145 * * [simplify]: Extracting #0: cost 1 inf + 0 508.145 * * [simplify]: Extracting #1: cost 13 inf + 0 508.145 * * [simplify]: Extracting #2: cost 96 inf + 1 508.146 * * [simplify]: Extracting #3: cost 185 inf + 297 508.147 * * [simplify]: Extracting #4: cost 167 inf + 3341 508.150 * * [simplify]: Extracting #5: cost 97 inf + 17989 508.158 * * [simplify]: Extracting #6: cost 29 inf + 39102 508.183 * * [simplify]: Extracting #7: cost 4 inf + 58882 508.195 * * [simplify]: Extracting #8: cost 0 inf + 62078 508.205 * * [simplify]: Extracting #9: cost 0 inf + 61496 508.217 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) 508.217 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (sqrt k)))) 508.217 * * * * [progress]: [ 27 / 226 ] simplifiying candidate # 508.218 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 508.218 * * [simplify]: iters left: 6 (15 enodes) 508.226 * * [simplify]: iters left: 5 (60 enodes) 508.241 * * [simplify]: iters left: 4 (96 enodes) 508.259 * * [simplify]: iters left: 3 (164 enodes) 508.302 * * [simplify]: iters left: 2 (355 enodes) 508.460 * * [simplify]: Extracting #0: cost 1 inf + 0 508.460 * * [simplify]: Extracting #1: cost 13 inf + 0 508.460 * * [simplify]: Extracting #2: cost 109 inf + 1 508.461 * * [simplify]: Extracting #3: cost 223 inf + 296 508.462 * * [simplify]: Extracting #4: cost 205 inf + 4016 508.469 * * [simplify]: Extracting #5: cost 134 inf + 18734 508.488 * * [simplify]: Extracting #6: cost 23 inf + 55288 508.516 * * [simplify]: Extracting #7: cost 1 inf + 75831 508.544 * * [simplify]: Extracting #8: cost 0 inf + 76118 508.568 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2))))) 508.568 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2))))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (sqrt k)))) 508.568 * * * * [progress]: [ 28 / 226 ] simplifiying candidate # 508.569 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) 508.569 * * [simplify]: iters left: 6 (14 enodes) 508.573 * * [simplify]: iters left: 5 (55 enodes) 508.582 * * [simplify]: iters left: 4 (89 enodes) 508.603 * * [simplify]: iters left: 3 (150 enodes) 508.640 * * [simplify]: iters left: 2 (291 enodes) 508.756 * * [simplify]: Extracting #0: cost 1 inf + 0 508.756 * * [simplify]: Extracting #1: cost 12 inf + 0 508.756 * * [simplify]: Extracting #2: cost 83 inf + 1 508.757 * * [simplify]: Extracting #3: cost 149 inf + 88 508.758 * * [simplify]: Extracting #4: cost 122 inf + 4381 508.759 * * [simplify]: Extracting #5: cost 110 inf + 5521 508.762 * * [simplify]: Extracting #6: cost 76 inf + 12618 508.768 * * [simplify]: Extracting #7: cost 17 inf + 36794 508.777 * * [simplify]: Extracting #8: cost 0 inf + 52398 508.794 * * [simplify]: Extracting #9: cost 0 inf + 52279 508.811 * * [simplify]: Extracting #10: cost 0 inf + 52239 508.829 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 508.829 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)) (sqrt k)))) 508.830 * * * * [progress]: [ 29 / 226 ] simplifiying candidate # 508.830 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 508.830 * * [simplify]: iters left: 6 (15 enodes) 508.835 * * [simplify]: iters left: 5 (60 enodes) 508.848 * * [simplify]: iters left: 4 (98 enodes) 508.865 * * [simplify]: iters left: 3 (170 enodes) 508.912 * * [simplify]: iters left: 2 (380 enodes) 509.075 * * [simplify]: Extracting #0: cost 1 inf + 0 509.075 * * [simplify]: Extracting #1: cost 13 inf + 0 509.076 * * [simplify]: Extracting #2: cost 115 inf + 1 509.076 * * [simplify]: Extracting #3: cost 237 inf + 256 509.078 * * [simplify]: Extracting #4: cost 224 inf + 3055 509.082 * * [simplify]: Extracting #5: cost 124 inf + 29028 509.096 * * [simplify]: Extracting #6: cost 29 inf + 59577 509.120 * * [simplify]: Extracting #7: cost 1 inf + 82271 509.135 * * [simplify]: Extracting #8: cost 0 inf + 82483 509.152 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 509.152 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (sqrt k)))) 509.152 * * * * [progress]: [ 30 / 226 ] simplifiying candidate # 509.153 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) 509.153 * * [simplify]: iters left: 6 (13 enodes) 509.160 * * [simplify]: iters left: 5 (52 enodes) 509.176 * * [simplify]: iters left: 4 (76 enodes) 509.203 * * [simplify]: iters left: 3 (117 enodes) 509.227 * * [simplify]: iters left: 2 (212 enodes) 509.295 * * [simplify]: iters left: 1 (407 enodes) 509.534 * * [simplify]: Extracting #0: cost 1 inf + 0 509.534 * * [simplify]: Extracting #1: cost 28 inf + 0 509.534 * * [simplify]: Extracting #2: cost 152 inf + 1 509.535 * * [simplify]: Extracting #3: cost 271 inf + 217 509.537 * * [simplify]: Extracting #4: cost 241 inf + 3724 509.540 * * [simplify]: Extracting #5: cost 196 inf + 10784 509.548 * * [simplify]: Extracting #6: cost 70 inf + 41091 509.562 * * [simplify]: Extracting #7: cost 14 inf + 81043 509.584 * * [simplify]: Extracting #8: cost 0 inf + 93786 509.619 * * [simplify]: Extracting #9: cost 0 inf + 93705 509.656 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) 2)) 509.656 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) 2)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (sqrt k)))) 509.656 * * * * [progress]: [ 31 / 226 ] simplifiying candidate # 509.656 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) 509.656 * * [simplify]: iters left: 6 (13 enodes) 509.664 * * [simplify]: iters left: 5 (50 enodes) 509.679 * * [simplify]: iters left: 4 (77 enodes) 509.694 * * [simplify]: iters left: 3 (124 enodes) 509.716 * * [simplify]: iters left: 2 (218 enodes) 509.812 * * [simplify]: iters left: 1 (451 enodes) 510.227 * * [simplify]: Extracting #0: cost 1 inf + 0 510.227 * * [simplify]: Extracting #1: cost 35 inf + 0 510.228 * * [simplify]: Extracting #2: cost 164 inf + 1 510.230 * * [simplify]: Extracting #3: cost 271 inf + 220 510.234 * * [simplify]: Extracting #4: cost 260 inf + 1897 510.239 * * [simplify]: Extracting #5: cost 212 inf + 7038 510.253 * * [simplify]: Extracting #6: cost 119 inf + 24014 510.276 * * [simplify]: Extracting #7: cost 52 inf + 51357 510.313 * * [simplify]: Extracting #8: cost 3 inf + 100895 510.358 * * [simplify]: Extracting #9: cost 0 inf + 104547 510.398 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 510.398 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)) (sqrt k)))) 510.398 * * * * [progress]: [ 32 / 226 ] simplifiying candidate # 510.398 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) 510.399 * * [simplify]: iters left: 6 (14 enodes) 510.406 * * [simplify]: iters left: 5 (55 enodes) 510.424 * * [simplify]: iters left: 4 (87 enodes) 510.455 * * [simplify]: iters left: 3 (147 enodes) 510.486 * * [simplify]: iters left: 2 (289 enodes) 510.602 * * [simplify]: Extracting #0: cost 1 inf + 0 510.602 * * [simplify]: Extracting #1: cost 12 inf + 0 510.603 * * [simplify]: Extracting #2: cost 80 inf + 1 510.604 * * [simplify]: Extracting #3: cost 147 inf + 7 510.606 * * [simplify]: Extracting #4: cost 123 inf + 3777 510.608 * * [simplify]: Extracting #5: cost 107 inf + 5846 510.613 * * [simplify]: Extracting #6: cost 70 inf + 14368 510.624 * * [simplify]: Extracting #7: cost 10 inf + 41178 510.633 * * [simplify]: Extracting #8: cost 0 inf + 49216 510.641 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) 510.641 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))) (sqrt k)))) 510.642 * * * * [progress]: [ 33 / 226 ] simplifiying candidate # 510.642 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) 510.642 * * [simplify]: iters left: 6 (13 enodes) 510.646 * * [simplify]: iters left: 5 (50 enodes) 510.655 * * [simplify]: iters left: 4 (76 enodes) 510.675 * * [simplify]: iters left: 3 (124 enodes) 510.697 * * [simplify]: iters left: 2 (221 enodes) 510.769 * * [simplify]: iters left: 1 (459 enodes) 511.210 * * [simplify]: Extracting #0: cost 1 inf + 0 511.210 * * [simplify]: Extracting #1: cost 36 inf + 0 511.210 * * [simplify]: Extracting #2: cost 174 inf + 1 511.212 * * [simplify]: Extracting #3: cost 292 inf + 220 511.213 * * [simplify]: Extracting #4: cost 287 inf + 1086 511.216 * * [simplify]: Extracting #5: cost 202 inf + 13689 511.228 * * [simplify]: Extracting #6: cost 78 inf + 53621 511.255 * * [simplify]: Extracting #7: cost 6 inf + 103249 511.283 * * [simplify]: Extracting #8: cost 0 inf + 107262 511.324 * * [simplify]: Extracting #9: cost 0 inf + 107261 511.365 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 511.365 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))) (sqrt k)))) 511.366 * * * * [progress]: [ 34 / 226 ] simplifiying candidate # 511.366 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) 511.366 * * [simplify]: iters left: 6 (12 enodes) 511.372 * * [simplify]: iters left: 5 (45 enodes) 511.388 * * [simplify]: iters left: 4 (77 enodes) 511.409 * * [simplify]: iters left: 3 (113 enodes) 511.448 * * [simplify]: iters left: 2 (224 enodes) 511.548 * * [simplify]: Extracting #0: cost 1 inf + 0 511.548 * * [simplify]: Extracting #1: cost 21 inf + 0 511.548 * * [simplify]: Extracting #2: cost 106 inf + 1 511.548 * * [simplify]: Extracting #3: cost 124 inf + 173 511.549 * * [simplify]: Extracting #4: cost 121 inf + 551 511.550 * * [simplify]: Extracting #5: cost 90 inf + 8323 511.553 * * [simplify]: Extracting #6: cost 37 inf + 28906 511.560 * * [simplify]: Extracting #7: cost 2 inf + 48879 511.569 * * [simplify]: Extracting #8: cost 0 inf + 50442 511.585 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (- 1 k))) 511.585 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (sqrt (- 1 k))) (/ (/ (sqrt (- 1 k)) 2) 2)) (sqrt k)))) 511.585 * * * * [progress]: [ 35 / 226 ] simplifiying candidate # 511.585 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 511.586 * * [simplify]: iters left: 6 (11 enodes) 511.592 * * [simplify]: iters left: 5 (48 enodes) 511.601 * * [simplify]: iters left: 4 (86 enodes) 511.616 * * [simplify]: iters left: 3 (155 enodes) 511.669 * * [simplify]: iters left: 2 (300 enodes) 512.262 * * [simplify]: Extracting #0: cost 1 inf + 0 512.262 * * [simplify]: Extracting #1: cost 13 inf + 0 512.262 * * [simplify]: Extracting #2: cost 91 inf + 0 512.263 * * [simplify]: Extracting #3: cost 184 inf + 8 512.264 * * [simplify]: Extracting #4: cost 142 inf + 6775 512.269 * * [simplify]: Extracting #5: cost 28 inf + 31749 512.275 * * [simplify]: Extracting #6: cost 7 inf + 42461 512.285 * * [simplify]: Extracting #7: cost 0 inf + 48584 512.300 * * [simplify]: Extracting #8: cost 0 inf + 48171 512.319 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1/2 (cbrt 2))) 512.319 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1/2 (cbrt 2))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (sqrt k)))) 512.319 * * * * [progress]: [ 36 / 226 ] simplifiying candidate # 512.320 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 512.320 * * [simplify]: iters left: 6 (12 enodes) 512.327 * * [simplify]: iters left: 5 (49 enodes) 512.341 * * [simplify]: iters left: 4 (82 enodes) 512.355 * * [simplify]: iters left: 3 (152 enodes) 512.405 * * [simplify]: iters left: 2 (314 enodes) 512.537 * * [simplify]: Extracting #0: cost 1 inf + 0 512.537 * * [simplify]: Extracting #1: cost 12 inf + 0 512.537 * * [simplify]: Extracting #2: cost 95 inf + 1 512.538 * * [simplify]: Extracting #3: cost 173 inf + 739 512.541 * * [simplify]: Extracting #4: cost 82 inf + 21246 512.548 * * [simplify]: Extracting #5: cost 17 inf + 41542 512.557 * * [simplify]: Extracting #6: cost 0 inf + 57328 512.566 * * [simplify]: Extracting #7: cost 0 inf + 55491 512.580 * * [simplify]: Extracting #8: cost 0 inf + 54978 512.599 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 512.599 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (sqrt k)))) 512.600 * * * * [progress]: [ 37 / 226 ] simplifiying candidate # 512.600 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) 512.600 * * [simplify]: iters left: 6 (11 enodes) 512.607 * * [simplify]: iters left: 5 (44 enodes) 512.625 * * [simplify]: iters left: 4 (75 enodes) 512.639 * * [simplify]: iters left: 3 (135 enodes) 512.671 * * [simplify]: iters left: 2 (257 enodes) 512.769 * * [simplify]: Extracting #0: cost 1 inf + 0 512.769 * * [simplify]: Extracting #1: cost 12 inf + 0 512.769 * * [simplify]: Extracting #2: cost 67 inf + 1 512.770 * * [simplify]: Extracting #3: cost 114 inf + 7 512.770 * * [simplify]: Extracting #4: cost 104 inf + 911 512.773 * * [simplify]: Extracting #5: cost 42 inf + 14168 512.777 * * [simplify]: Extracting #6: cost 5 inf + 30729 512.782 * * [simplify]: Extracting #7: cost 0 inf + 35035 512.796 * * [simplify]: Extracting #8: cost 0 inf + 34742 512.802 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 512.802 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) 2)) (sqrt k)))) 512.802 * * * * [progress]: [ 38 / 226 ] simplifiying candidate # 512.802 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 512.802 * * [simplify]: iters left: 6 (12 enodes) 512.807 * * [simplify]: iters left: 5 (49 enodes) 512.815 * * [simplify]: iters left: 4 (84 enodes) 512.834 * * [simplify]: iters left: 3 (157 enodes) 512.867 * * [simplify]: iters left: 2 (349 enodes) 513.037 * * [simplify]: Extracting #0: cost 1 inf + 0 513.037 * * [simplify]: Extracting #1: cost 13 inf + 0 513.038 * * [simplify]: Extracting #2: cost 104 inf + 1 513.039 * * [simplify]: Extracting #3: cost 208 inf + 742 513.047 * * [simplify]: Extracting #4: cost 99 inf + 23626 513.055 * * [simplify]: Extracting #5: cost 10 inf + 51587 513.066 * * [simplify]: Extracting #6: cost 0 inf + 59406 513.080 * * [simplify]: Extracting #7: cost 0 inf + 59204 513.101 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 513.101 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (sqrt k)))) 513.102 * * * * [progress]: [ 39 / 226 ] simplifiying candidate # 513.102 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) 513.102 * * [simplify]: iters left: 6 (10 enodes) 513.108 * * [simplify]: iters left: 5 (41 enodes) 513.122 * * [simplify]: iters left: 4 (63 enodes) 513.149 * * [simplify]: iters left: 3 (106 enodes) 513.188 * * [simplify]: iters left: 2 (170 enodes) 513.227 * * [simplify]: iters left: 1 (274 enodes) 513.334 * * [simplify]: Extracting #0: cost 1 inf + 0 513.334 * * [simplify]: Extracting #1: cost 34 inf + 0 513.335 * * [simplify]: Extracting #2: cost 96 inf + 2 513.335 * * [simplify]: Extracting #3: cost 83 inf + 2529 513.337 * * [simplify]: Extracting #4: cost 46 inf + 22891 513.345 * * [simplify]: Extracting #5: cost 2 inf + 52042 513.351 * * [simplify]: Extracting #6: cost 0 inf + 52881 513.361 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 513.361 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (sqrt (* (* PI 2) n)) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (sqrt k)))) 513.362 * * * * [progress]: [ 40 / 226 ] simplifiying candidate # 513.362 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) 513.362 * * [simplify]: iters left: 6 (10 enodes) 513.368 * * [simplify]: iters left: 5 (39 enodes) 513.383 * * [simplify]: iters left: 4 (63 enodes) 513.404 * * [simplify]: iters left: 3 (109 enodes) 513.442 * * [simplify]: iters left: 2 (194 enodes) 513.506 * * [simplify]: iters left: 1 (379 enodes) 513.666 * * [simplify]: Extracting #0: cost 1 inf + 0 513.666 * * [simplify]: Extracting #1: cost 36 inf + 0 513.667 * * [simplify]: Extracting #2: cost 115 inf + 1 513.668 * * [simplify]: Extracting #3: cost 130 inf + 921 513.673 * * [simplify]: Extracting #4: cost 84 inf + 12198 513.682 * * [simplify]: Extracting #5: cost 46 inf + 29266 513.700 * * [simplify]: Extracting #6: cost 6 inf + 65568 513.718 * * [simplify]: Extracting #7: cost 0 inf + 70626 513.728 * * [simplify]: Extracting #8: cost 0 inf + 69382 513.741 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 513.741 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) 2)) (sqrt k)))) 513.742 * * * * [progress]: [ 41 / 226 ] simplifiying candidate # 513.742 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) 513.742 * * [simplify]: iters left: 6 (11 enodes) 513.748 * * [simplify]: iters left: 5 (42 enodes) 513.761 * * [simplify]: iters left: 4 (67 enodes) 513.783 * * [simplify]: iters left: 3 (113 enodes) 513.808 * * [simplify]: iters left: 2 (227 enodes) 513.901 * * [simplify]: iters left: 1 (460 enodes) 514.206 * * [simplify]: Extracting #0: cost 1 inf + 0 514.206 * * [simplify]: Extracting #1: cost 27 inf + 0 514.207 * * [simplify]: Extracting #2: cost 128 inf + 1 514.209 * * [simplify]: Extracting #3: cost 230 inf + 336 514.213 * * [simplify]: Extracting #4: cost 174 inf + 9113 514.223 * * [simplify]: Extracting #5: cost 47 inf + 41174 514.234 * * [simplify]: Extracting #6: cost 8 inf + 76412 514.247 * * [simplify]: Extracting #7: cost 0 inf + 84921 514.271 * * [simplify]: Extracting #8: cost 0 inf + 84670 514.297 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 514.298 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k)))) 514.298 * * * * [progress]: [ 42 / 226 ] simplifiying candidate # 514.298 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) 514.298 * * [simplify]: iters left: 5 (10 enodes) 514.304 * * [simplify]: iters left: 4 (37 enodes) 514.319 * * [simplify]: iters left: 3 (58 enodes) 514.339 * * [simplify]: iters left: 2 (98 enodes) 514.373 * * [simplify]: iters left: 1 (170 enodes) 514.423 * * [simplify]: Extracting #0: cost 1 inf + 0 514.423 * * [simplify]: Extracting #1: cost 12 inf + 0 514.423 * * [simplify]: Extracting #2: cost 51 inf + 1 514.423 * * [simplify]: Extracting #3: cost 75 inf + 6 514.424 * * [simplify]: Extracting #4: cost 65 inf + 882 514.425 * * [simplify]: Extracting #5: cost 36 inf + 4827 514.431 * * [simplify]: Extracting #6: cost 11 inf + 14483 514.437 * * [simplify]: Extracting #7: cost 0 inf + 23347 514.444 * * [simplify]: Extracting #8: cost 0 inf + 23054 514.451 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 514.451 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k)))) 514.451 * * * * [progress]: [ 43 / 226 ] simplifiying candidate # 514.452 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) 514.452 * * [simplify]: iters left: 5 (9 enodes) 514.458 * * [simplify]: iters left: 4 (35 enodes) 514.472 * * [simplify]: iters left: 3 (65 enodes) 514.495 * * [simplify]: iters left: 2 (106 enodes) 514.524 * * [simplify]: iters left: 1 (178 enodes) 514.563 * * [simplify]: Extracting #0: cost 1 inf + 0 514.563 * * [simplify]: Extracting #1: cost 18 inf + 0 514.563 * * [simplify]: Extracting #2: cost 35 inf + 46 514.563 * * [simplify]: Extracting #3: cost 27 inf + 930 514.564 * * [simplify]: Extracting #4: cost 12 inf + 6845 514.565 * * [simplify]: Extracting #5: cost 1 inf + 11470 514.567 * * [simplify]: Extracting #6: cost 0 inf + 11764 514.570 * [simplify]: Simplified to (* (* PI 2) n) 514.570 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 514.570 * * * * [progress]: [ 44 / 226 ] simplifiying candidate # 514.571 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 514.571 * * [simplify]: iters left: 6 (15 enodes) 514.580 * * [simplify]: iters left: 5 (61 enodes) 514.598 * * [simplify]: iters left: 4 (99 enodes) 514.615 * * [simplify]: iters left: 3 (167 enodes) 514.677 * * [simplify]: iters left: 2 (356 enodes) 514.834 * * [simplify]: Extracting #0: cost 1 inf + 0 514.834 * * [simplify]: Extracting #1: cost 13 inf + 0 514.835 * * [simplify]: Extracting #2: cost 91 inf + 1 514.835 * * [simplify]: Extracting #3: cost 175 inf + 7 514.836 * * [simplify]: Extracting #4: cost 146 inf + 4586 514.842 * * [simplify]: Extracting #5: cost 96 inf + 14610 514.849 * * [simplify]: Extracting #6: cost 20 inf + 40771 514.867 * * [simplify]: Extracting #7: cost 0 inf + 54762 514.888 * * [simplify]: Extracting #8: cost 0 inf + 53677 514.908 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) 2))) 514.908 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))) (sqrt k)))) 514.908 * * * * [progress]: [ 45 / 226 ] simplifiying candidate # 514.909 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 514.909 * * [simplify]: iters left: 6 (16 enodes) 514.919 * * [simplify]: iters left: 5 (62 enodes) 514.939 * * [simplify]: iters left: 4 (95 enodes) 514.968 * * [simplify]: iters left: 3 (164 enodes) 515.031 * * [simplify]: iters left: 2 (364 enodes) 515.263 * * [simplify]: Extracting #0: cost 1 inf + 0 515.263 * * [simplify]: Extracting #1: cost 13 inf + 0 515.263 * * [simplify]: Extracting #2: cost 115 inf + 1 515.265 * * [simplify]: Extracting #3: cost 236 inf + 173 515.267 * * [simplify]: Extracting #4: cost 228 inf + 1884 515.271 * * [simplify]: Extracting #5: cost 179 inf + 10238 515.276 * * [simplify]: Extracting #6: cost 165 inf + 12821 515.284 * * [simplify]: Extracting #7: cost 132 inf + 21075 515.294 * * [simplify]: Extracting #8: cost 42 inf + 49595 515.308 * * [simplify]: Extracting #9: cost 3 inf + 81906 515.332 * * [simplify]: Extracting #10: cost 0 inf + 84551 515.363 * * [simplify]: Extracting #11: cost 0 inf + 83947 515.395 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 515.395 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))) (sqrt k)))) 515.395 * * * * [progress]: [ 46 / 226 ] simplifiying candidate # 515.396 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) 515.396 * * [simplify]: iters left: 6 (15 enodes) 515.405 * * [simplify]: iters left: 5 (57 enodes) 515.423 * * [simplify]: iters left: 4 (88 enodes) 515.452 * * [simplify]: iters left: 3 (149 enodes) 515.507 * * [simplify]: iters left: 2 (292 enodes) 515.671 * * [simplify]: Extracting #0: cost 1 inf + 0 515.671 * * [simplify]: Extracting #1: cost 12 inf + 0 515.672 * * [simplify]: Extracting #2: cost 86 inf + 1 515.673 * * [simplify]: Extracting #3: cost 156 inf + 7 515.674 * * [simplify]: Extracting #4: cost 131 inf + 3852 515.677 * * [simplify]: Extracting #5: cost 113 inf + 5924 515.684 * * [simplify]: Extracting #6: cost 60 inf + 20104 515.694 * * [simplify]: Extracting #7: cost 3 inf + 49816 515.703 * * [simplify]: Extracting #8: cost 0 inf + 53155 515.714 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 515.715 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)) (sqrt k)))) 515.715 * * * * [progress]: [ 47 / 226 ] simplifiying candidate # 515.715 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 515.715 * * [simplify]: iters left: 6 (16 enodes) 515.722 * * [simplify]: iters left: 5 (62 enodes) 515.742 * * [simplify]: iters left: 4 (97 enodes) 515.772 * * [simplify]: iters left: 3 (168 enodes) 515.812 * * [simplify]: iters left: 2 (386 enodes) 515.988 * * [simplify]: Extracting #0: cost 1 inf + 0 515.988 * * [simplify]: Extracting #1: cost 13 inf + 0 515.988 * * [simplify]: Extracting #2: cost 113 inf + 1 515.989 * * [simplify]: Extracting #3: cost 237 inf + 215 515.991 * * [simplify]: Extracting #4: cost 227 inf + 2605 515.994 * * [simplify]: Extracting #5: cost 134 inf + 21160 516.004 * * [simplify]: Extracting #6: cost 41 inf + 48778 516.021 * * [simplify]: Extracting #7: cost 2 inf + 78943 516.051 * * [simplify]: Extracting #8: cost 0 inf + 80027 516.081 * * [simplify]: Extracting #9: cost 0 inf + 79947 516.114 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 516.115 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))) (sqrt k)))) 516.115 * * * * [progress]: [ 48 / 226 ] simplifiying candidate # 516.115 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) 516.115 * * [simplify]: iters left: 6 (14 enodes) 516.123 * * [simplify]: iters left: 5 (54 enodes) 516.140 * * [simplify]: iters left: 4 (75 enodes) 516.163 * * [simplify]: iters left: 3 (117 enodes) 516.201 * * [simplify]: iters left: 2 (212 enodes) 516.262 * * [simplify]: iters left: 1 (419 enodes) 516.487 * * [simplify]: Extracting #0: cost 1 inf + 0 516.487 * * [simplify]: Extracting #1: cost 24 inf + 0 516.488 * * [simplify]: Extracting #2: cost 143 inf + 1 516.490 * * [simplify]: Extracting #3: cost 285 inf + 218 516.493 * * [simplify]: Extracting #4: cost 274 inf + 1777 516.499 * * [simplify]: Extracting #5: cost 195 inf + 15674 516.519 * * [simplify]: Extracting #6: cost 51 inf + 55677 516.538 * * [simplify]: Extracting #7: cost 0 inf + 87999 516.563 * * [simplify]: Extracting #8: cost 0 inf + 87875 516.581 * * [simplify]: Extracting #9: cost 0 inf + 87795 516.597 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) 516.597 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (sqrt k)))) 516.597 * * * * [progress]: [ 49 / 226 ] simplifiying candidate # 516.597 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) 516.598 * * [simplify]: iters left: 6 (14 enodes) 516.606 * * [simplify]: iters left: 5 (52 enodes) 516.622 * * [simplify]: iters left: 4 (76 enodes) 516.635 * * [simplify]: iters left: 3 (122 enodes) 516.658 * * [simplify]: iters left: 2 (225 enodes) 516.736 * * [simplify]: iters left: 1 (479 enodes) 517.187 * * [simplify]: Extracting #0: cost 1 inf + 0 517.188 * * [simplify]: Extracting #1: cost 33 inf + 0 517.188 * * [simplify]: Extracting #2: cost 170 inf + 1 517.191 * * [simplify]: Extracting #3: cost 294 inf + 261 517.194 * * [simplify]: Extracting #4: cost 292 inf + 718 517.199 * * [simplify]: Extracting #5: cost 221 inf + 8866 517.218 * * [simplify]: Extracting #6: cost 104 inf + 40876 517.267 * * [simplify]: Extracting #7: cost 11 inf + 95165 517.313 * * [simplify]: Extracting #8: cost 0 inf + 99249 517.343 * * [simplify]: Extracting #9: cost 0 inf + 98876 517.395 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 517.395 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)) (sqrt k)))) 517.395 * * * * [progress]: [ 50 / 226 ] simplifiying candidate # 517.396 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) 517.396 * * [simplify]: iters left: 6 (15 enodes) 517.406 * * [simplify]: iters left: 5 (57 enodes) 517.415 * * [simplify]: iters left: 4 (86 enodes) 517.432 * * [simplify]: iters left: 3 (147 enodes) 517.467 * * [simplify]: iters left: 2 (292 enodes) 517.620 * * [simplify]: Extracting #0: cost 1 inf + 0 517.620 * * [simplify]: Extracting #1: cost 12 inf + 0 517.621 * * [simplify]: Extracting #2: cost 90 inf + 1 517.621 * * [simplify]: Extracting #3: cost 166 inf + 49 517.622 * * [simplify]: Extracting #4: cost 143 inf + 3451 517.623 * * [simplify]: Extracting #5: cost 125 inf + 5842 517.626 * * [simplify]: Extracting #6: cost 78 inf + 16547 517.635 * * [simplify]: Extracting #7: cost 13 inf + 41600 517.645 * * [simplify]: Extracting #8: cost 0 inf + 53676 517.659 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 517.659 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))) (sqrt k)))) 517.660 * * * * [progress]: [ 51 / 226 ] simplifiying candidate # 517.660 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) 517.660 * * [simplify]: iters left: 6 (14 enodes) 517.668 * * [simplify]: iters left: 5 (52 enodes) 517.684 * * [simplify]: iters left: 4 (75 enodes) 517.707 * * [simplify]: iters left: 3 (122 enodes) 517.747 * * [simplify]: iters left: 2 (225 enodes) 517.810 * * [simplify]: iters left: 1 (462 enodes) 518.245 * * [simplify]: Extracting #0: cost 1 inf + 0 518.245 * * [simplify]: Extracting #1: cost 34 inf + 0 518.246 * * [simplify]: Extracting #2: cost 173 inf + 1 518.248 * * [simplify]: Extracting #3: cost 296 inf + 261 518.251 * * [simplify]: Extracting #4: cost 296 inf + 554 518.255 * * [simplify]: Extracting #5: cost 239 inf + 6626 518.269 * * [simplify]: Extracting #6: cost 141 inf + 31818 518.306 * * [simplify]: Extracting #7: cost 21 inf + 88283 518.356 * * [simplify]: Extracting #8: cost 0 inf + 100973 518.379 * * [simplify]: Extracting #9: cost 0 inf + 100139 518.419 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 518.420 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))) (sqrt k)))) 518.420 * * * * [progress]: [ 52 / 226 ] simplifiying candidate # 518.420 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) 518.420 * * [simplify]: iters left: 6 (13 enodes) 518.426 * * [simplify]: iters left: 5 (47 enodes) 518.434 * * [simplify]: iters left: 4 (76 enodes) 518.445 * * [simplify]: iters left: 3 (109 enodes) 518.470 * * [simplify]: iters left: 2 (202 enodes) 518.554 * * [simplify]: Extracting #0: cost 1 inf + 0 518.554 * * [simplify]: Extracting #1: cost 16 inf + 0 518.554 * * [simplify]: Extracting #2: cost 69 inf + 1 518.555 * * [simplify]: Extracting #3: cost 88 inf + 6 518.556 * * [simplify]: Extracting #4: cost 80 inf + 508 518.559 * * [simplify]: Extracting #5: cost 31 inf + 16921 518.569 * * [simplify]: Extracting #6: cost 3 inf + 28307 518.579 * * [simplify]: Extracting #7: cost 0 inf + 29875 518.590 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 518.590 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)) (sqrt k)))) 518.590 * * * * [progress]: [ 53 / 226 ] simplifiying candidate # 518.591 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 518.591 * * [simplify]: iters left: 6 (14 enodes) 518.597 * * [simplify]: iters left: 5 (58 enodes) 518.607 * * [simplify]: iters left: 4 (96 enodes) 518.624 * * [simplify]: iters left: 3 (166 enodes) 518.679 * * [simplify]: iters left: 2 (362 enodes) 518.858 * * [simplify]: Extracting #0: cost 1 inf + 0 518.858 * * [simplify]: Extracting #1: cost 13 inf + 0 518.859 * * [simplify]: Extracting #2: cost 92 inf + 1 518.860 * * [simplify]: Extracting #3: cost 177 inf + 255 518.862 * * [simplify]: Extracting #4: cost 167 inf + 1844 518.866 * * [simplify]: Extracting #5: cost 98 inf + 14855 518.877 * * [simplify]: Extracting #6: cost 21 inf + 39586 518.886 * * [simplify]: Extracting #7: cost 1 inf + 55513 518.895 * * [simplify]: Extracting #8: cost 0 inf + 55425 518.907 * * [simplify]: Extracting #9: cost 0 inf + 55295 518.926 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* 2 (cbrt 2)))) 518.927 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* 2 (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))) (sqrt k)))) 518.927 * * * * [progress]: [ 54 / 226 ] simplifiying candidate # 518.927 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 518.927 * * [simplify]: iters left: 6 (15 enodes) 518.936 * * [simplify]: iters left: 5 (59 enodes) 518.955 * * [simplify]: iters left: 4 (92 enodes) 518.973 * * [simplify]: iters left: 3 (160 enodes) 519.019 * * [simplify]: iters left: 2 (360 enodes) 519.225 * * [simplify]: Extracting #0: cost 1 inf + 0 519.226 * * [simplify]: Extracting #1: cost 12 inf + 0 519.226 * * [simplify]: Extracting #2: cost 112 inf + 1 519.227 * * [simplify]: Extracting #3: cost 232 inf + 296 519.228 * * [simplify]: Extracting #4: cost 215 inf + 3899 519.232 * * [simplify]: Extracting #5: cost 130 inf + 22742 519.250 * * [simplify]: Extracting #6: cost 25 inf + 61396 519.267 * * [simplify]: Extracting #7: cost 3 inf + 77920 519.286 * * [simplify]: Extracting #8: cost 0 inf + 80934 519.317 * * [simplify]: Extracting #9: cost 0 inf + 80776 519.333 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (cbrt 2)) (cbrt 2))) 519.333 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))) (sqrt k)))) 519.334 * * * * [progress]: [ 55 / 226 ] simplifiying candidate # 519.334 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) 519.334 * * [simplify]: iters left: 6 (14 enodes) 519.338 * * [simplify]: iters left: 5 (54 enodes) 519.352 * * [simplify]: iters left: 4 (85 enodes) 519.382 * * [simplify]: iters left: 3 (146 enodes) 519.408 * * [simplify]: iters left: 2 (293 enodes) 519.520 * * [simplify]: Extracting #0: cost 1 inf + 0 519.521 * * [simplify]: Extracting #1: cost 13 inf + 0 519.521 * * [simplify]: Extracting #2: cost 87 inf + 1 519.522 * * [simplify]: Extracting #3: cost 159 inf + 7 519.523 * * [simplify]: Extracting #4: cost 159 inf + 342 519.525 * * [simplify]: Extracting #5: cost 125 inf + 4714 519.531 * * [simplify]: Extracting #6: cost 70 inf + 21838 519.550 * * [simplify]: Extracting #7: cost 4 inf + 51228 519.568 * * [simplify]: Extracting #8: cost 0 inf + 53025 519.586 * * [simplify]: Extracting #9: cost 0 inf + 52866 519.604 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 519.604 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)) (sqrt k)))) 519.604 * * * * [progress]: [ 56 / 226 ] simplifiying candidate # 519.605 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 519.605 * * [simplify]: iters left: 6 (15 enodes) 519.613 * * [simplify]: iters left: 5 (59 enodes) 519.632 * * [simplify]: iters left: 4 (94 enodes) 519.660 * * [simplify]: iters left: 3 (165 enodes) 519.695 * * [simplify]: iters left: 2 (386 enodes) 519.864 * * [simplify]: Extracting #0: cost 1 inf + 0 519.864 * * [simplify]: Extracting #1: cost 12 inf + 0 519.864 * * [simplify]: Extracting #2: cost 114 inf + 1 519.866 * * [simplify]: Extracting #3: cost 241 inf + 256 519.869 * * [simplify]: Extracting #4: cost 228 inf + 2854 519.875 * * [simplify]: Extracting #5: cost 143 inf + 20307 519.896 * * [simplify]: Extracting #6: cost 30 inf + 56481 519.926 * * [simplify]: Extracting #7: cost 2 inf + 81372 519.961 * * [simplify]: Extracting #8: cost 0 inf + 82369 519.993 * * [simplify]: Extracting #9: cost 0 inf + 82092 520.024 * * [simplify]: Extracting #10: cost 0 inf + 81973 520.044 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 520.044 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))) (sqrt k)))) 520.045 * * * * [progress]: [ 57 / 226 ] simplifiying candidate # 520.045 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) 520.045 * * [simplify]: iters left: 6 (13 enodes) 520.049 * * [simplify]: iters left: 5 (51 enodes) 520.057 * * [simplify]: iters left: 4 (72 enodes) 520.071 * * [simplify]: iters left: 3 (113 enodes) 520.104 * * [simplify]: iters left: 2 (208 enodes) 520.167 * * [simplify]: iters left: 1 (409 enodes) 520.457 * * [simplify]: Extracting #0: cost 1 inf + 0 520.457 * * [simplify]: Extracting #1: cost 27 inf + 0 520.457 * * [simplify]: Extracting #2: cost 154 inf + 1 520.459 * * [simplify]: Extracting #3: cost 265 inf + 300 520.461 * * [simplify]: Extracting #4: cost 246 inf + 2467 520.468 * * [simplify]: Extracting #5: cost 171 inf + 15398 520.487 * * [simplify]: Extracting #6: cost 62 inf + 52476 520.523 * * [simplify]: Extracting #7: cost 0 inf + 96761 520.555 * * [simplify]: Extracting #8: cost 0 inf + 93628 520.582 * * [simplify]: Extracting #9: cost 0 inf + 93247 520.598 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) 520.598 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (sqrt k)))) 520.598 * * * * [progress]: [ 58 / 226 ] simplifiying candidate # 520.599 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) 520.599 * * [simplify]: iters left: 6 (13 enodes) 520.606 * * [simplify]: iters left: 5 (49 enodes) 520.621 * * [simplify]: iters left: 4 (73 enodes) 520.647 * * [simplify]: iters left: 3 (120 enodes) 520.687 * * [simplify]: iters left: 2 (220 enodes) 520.766 * * [simplify]: iters left: 1 (476 enodes) 521.116 * * [simplify]: Extracting #0: cost 1 inf + 0 521.117 * * [simplify]: Extracting #1: cost 36 inf + 0 521.118 * * [simplify]: Extracting #2: cost 164 inf + 1 521.120 * * [simplify]: Extracting #3: cost 291 inf + 342 521.129 * * [simplify]: Extracting #4: cost 250 inf + 5239 521.134 * * [simplify]: Extracting #5: cost 230 inf + 7360 521.144 * * [simplify]: Extracting #6: cost 158 inf + 23161 521.174 * * [simplify]: Extracting #7: cost 42 inf + 66985 521.217 * * [simplify]: Extracting #8: cost 2 inf + 102559 521.255 * * [simplify]: Extracting #9: cost 0 inf + 104663 521.280 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 521.280 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)) (sqrt k)))) 521.280 * * * * [progress]: [ 59 / 226 ] simplifiying candidate # 521.280 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) 521.280 * * [simplify]: iters left: 6 (14 enodes) 521.284 * * [simplify]: iters left: 5 (54 enodes) 521.293 * * [simplify]: iters left: 4 (83 enodes) 521.307 * * [simplify]: iters left: 3 (144 enodes) 521.332 * * [simplify]: iters left: 2 (289 enodes) 521.463 * * [simplify]: Extracting #0: cost 1 inf + 0 521.463 * * [simplify]: Extracting #1: cost 13 inf + 0 521.463 * * [simplify]: Extracting #2: cost 87 inf + 1 521.463 * * [simplify]: Extracting #3: cost 159 inf + 7 521.464 * * [simplify]: Extracting #4: cost 135 inf + 3858 521.466 * * [simplify]: Extracting #5: cost 117 inf + 6206 521.467 * * [simplify]: Extracting #6: cost 101 inf + 9087 521.472 * * [simplify]: Extracting #7: cost 30 inf + 32311 521.481 * * [simplify]: Extracting #8: cost 3 inf + 48134 521.496 * * [simplify]: Extracting #9: cost 0 inf + 50271 521.517 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 521.517 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))) (sqrt k)))) 521.518 * * * * [progress]: [ 60 / 226 ] simplifiying candidate # 521.518 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) 521.518 * * [simplify]: iters left: 6 (13 enodes) 521.525 * * [simplify]: iters left: 5 (49 enodes) 521.541 * * [simplify]: iters left: 4 (72 enodes) 521.569 * * [simplify]: iters left: 3 (120 enodes) 521.590 * * [simplify]: iters left: 2 (223 enodes) 521.657 * * [simplify]: iters left: 1 (482 enodes) 521.985 * * [simplify]: Extracting #0: cost 1 inf + 0 521.985 * * [simplify]: Extracting #1: cost 34 inf + 0 521.986 * * [simplify]: Extracting #2: cost 167 inf + 1 521.987 * * [simplify]: Extracting #3: cost 285 inf + 178 521.989 * * [simplify]: Extracting #4: cost 278 inf + 1455 521.991 * * [simplify]: Extracting #5: cost 220 inf + 7646 521.999 * * [simplify]: Extracting #6: cost 98 inf + 39049 522.019 * * [simplify]: Extracting #7: cost 25 inf + 73659 522.065 * * [simplify]: Extracting #8: cost 4 inf + 89360 522.102 * * [simplify]: Extracting #9: cost 0 inf + 92615 522.135 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 522.135 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))) (sqrt k)))) 522.135 * * * * [progress]: [ 61 / 226 ] simplifiying candidate # 522.136 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) 522.136 * * [simplify]: iters left: 6 (12 enodes) 522.142 * * [simplify]: iters left: 5 (44 enodes) 522.155 * * [simplify]: iters left: 4 (73 enodes) 522.166 * * [simplify]: iters left: 3 (110 enodes) 522.184 * * [simplify]: iters left: 2 (215 enodes) 522.242 * * [simplify]: Extracting #0: cost 1 inf + 0 522.242 * * [simplify]: Extracting #1: cost 17 inf + 0 522.243 * * [simplify]: Extracting #2: cost 77 inf + 1 522.243 * * [simplify]: Extracting #3: cost 99 inf + 6 522.244 * * [simplify]: Extracting #4: cost 94 inf + 425 522.247 * * [simplify]: Extracting #5: cost 54 inf + 9620 522.255 * * [simplify]: Extracting #6: cost 13 inf + 29073 522.267 * * [simplify]: Extracting #7: cost 0 inf + 36658 522.280 * * [simplify]: Extracting #8: cost 0 inf + 36318 522.296 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 522.296 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt k)))) 522.296 * * * * [progress]: [ 62 / 226 ] simplifiying candidate # 522.297 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 522.297 * * [simplify]: iters left: 6 (11 enodes) 522.303 * * [simplify]: iters left: 5 (48 enodes) 522.321 * * [simplify]: iters left: 4 (86 enodes) 522.347 * * [simplify]: iters left: 3 (155 enodes) 522.398 * * [simplify]: iters left: 2 (300 enodes) 522.555 * * [simplify]: Extracting #0: cost 1 inf + 0 522.555 * * [simplify]: Extracting #1: cost 13 inf + 0 522.555 * * [simplify]: Extracting #2: cost 91 inf + 0 522.556 * * [simplify]: Extracting #3: cost 184 inf + 8 522.557 * * [simplify]: Extracting #4: cost 142 inf + 6775 522.561 * * [simplify]: Extracting #5: cost 28 inf + 31749 522.567 * * [simplify]: Extracting #6: cost 7 inf + 42461 522.578 * * [simplify]: Extracting #7: cost 0 inf + 48584 522.591 * * [simplify]: Extracting #8: cost 0 inf + 48171 522.604 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1/2 (cbrt 2))) 522.604 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1/2 (cbrt 2))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (sqrt k)))) 522.604 * * * * [progress]: [ 63 / 226 ] simplifiying candidate # 522.605 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 522.605 * * [simplify]: iters left: 6 (12 enodes) 522.611 * * [simplify]: iters left: 5 (49 enodes) 522.627 * * [simplify]: iters left: 4 (82 enodes) 522.654 * * [simplify]: iters left: 3 (152 enodes) 522.686 * * [simplify]: iters left: 2 (314 enodes) 522.816 * * [simplify]: Extracting #0: cost 1 inf + 0 522.816 * * [simplify]: Extracting #1: cost 12 inf + 0 522.817 * * [simplify]: Extracting #2: cost 95 inf + 1 522.818 * * [simplify]: Extracting #3: cost 173 inf + 739 522.825 * * [simplify]: Extracting #4: cost 82 inf + 21246 522.842 * * [simplify]: Extracting #5: cost 17 inf + 41542 522.861 * * [simplify]: Extracting #6: cost 0 inf + 57328 522.879 * * [simplify]: Extracting #7: cost 0 inf + 55491 522.890 * * [simplify]: Extracting #8: cost 0 inf + 54978 522.899 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 522.899 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (sqrt k)))) 522.899 * * * * [progress]: [ 64 / 226 ] simplifiying candidate # 522.900 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) 522.900 * * [simplify]: iters left: 6 (11 enodes) 522.906 * * [simplify]: iters left: 5 (44 enodes) 522.918 * * [simplify]: iters left: 4 (75 enodes) 522.933 * * [simplify]: iters left: 3 (135 enodes) 522.974 * * [simplify]: iters left: 2 (257 enodes) 523.096 * * [simplify]: Extracting #0: cost 1 inf + 0 523.096 * * [simplify]: Extracting #1: cost 12 inf + 0 523.096 * * [simplify]: Extracting #2: cost 67 inf + 1 523.097 * * [simplify]: Extracting #3: cost 114 inf + 7 523.097 * * [simplify]: Extracting #4: cost 104 inf + 911 523.099 * * [simplify]: Extracting #5: cost 42 inf + 14168 523.104 * * [simplify]: Extracting #6: cost 5 inf + 30729 523.109 * * [simplify]: Extracting #7: cost 0 inf + 35035 523.115 * * [simplify]: Extracting #8: cost 0 inf + 34742 523.126 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 523.126 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) 2)) (sqrt k)))) 523.126 * * * * [progress]: [ 65 / 226 ] simplifiying candidate # 523.127 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 523.127 * * [simplify]: iters left: 6 (12 enodes) 523.134 * * [simplify]: iters left: 5 (49 enodes) 523.143 * * [simplify]: iters left: 4 (84 enodes) 523.161 * * [simplify]: iters left: 3 (157 enodes) 523.199 * * [simplify]: iters left: 2 (349 enodes) 523.384 * * [simplify]: Extracting #0: cost 1 inf + 0 523.384 * * [simplify]: Extracting #1: cost 13 inf + 0 523.384 * * [simplify]: Extracting #2: cost 104 inf + 1 523.385 * * [simplify]: Extracting #3: cost 208 inf + 742 523.389 * * [simplify]: Extracting #4: cost 99 inf + 23626 523.400 * * [simplify]: Extracting #5: cost 10 inf + 51587 523.411 * * [simplify]: Extracting #6: cost 0 inf + 59406 523.422 * * [simplify]: Extracting #7: cost 0 inf + 59204 523.433 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 523.433 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (sqrt k)))) 523.433 * * * * [progress]: [ 66 / 226 ] simplifiying candidate # 523.433 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) 523.433 * * [simplify]: iters left: 6 (10 enodes) 523.437 * * [simplify]: iters left: 5 (41 enodes) 523.445 * * [simplify]: iters left: 4 (63 enodes) 523.463 * * [simplify]: iters left: 3 (106 enodes) 523.500 * * [simplify]: iters left: 2 (170 enodes) 523.530 * * [simplify]: iters left: 1 (274 enodes) 523.616 * * [simplify]: Extracting #0: cost 1 inf + 0 523.616 * * [simplify]: Extracting #1: cost 34 inf + 0 523.616 * * [simplify]: Extracting #2: cost 96 inf + 2 523.617 * * [simplify]: Extracting #3: cost 83 inf + 2529 523.619 * * [simplify]: Extracting #4: cost 46 inf + 22891 523.624 * * [simplify]: Extracting #5: cost 2 inf + 52042 523.630 * * [simplify]: Extracting #6: cost 0 inf + 52881 523.635 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 523.635 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (sqrt (* (* PI 2) n)) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (sqrt k)))) 523.635 * * * * [progress]: [ 67 / 226 ] simplifiying candidate # 523.636 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) 523.636 * * [simplify]: iters left: 6 (10 enodes) 523.639 * * [simplify]: iters left: 5 (39 enodes) 523.649 * * [simplify]: iters left: 4 (63 enodes) 523.674 * * [simplify]: iters left: 3 (109 enodes) 523.713 * * [simplify]: iters left: 2 (194 enodes) 523.757 * * [simplify]: iters left: 1 (379 enodes) 523.991 * * [simplify]: Extracting #0: cost 1 inf + 0 523.991 * * [simplify]: Extracting #1: cost 36 inf + 0 523.991 * * [simplify]: Extracting #2: cost 115 inf + 1 523.992 * * [simplify]: Extracting #3: cost 130 inf + 921 523.994 * * [simplify]: Extracting #4: cost 84 inf + 12198 523.999 * * [simplify]: Extracting #5: cost 46 inf + 29266 524.018 * * [simplify]: Extracting #6: cost 6 inf + 65568 524.033 * * [simplify]: Extracting #7: cost 0 inf + 70626 524.043 * * [simplify]: Extracting #8: cost 0 inf + 69382 524.054 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 524.054 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) 2)) (sqrt k)))) 524.054 * * * * [progress]: [ 68 / 226 ] simplifiying candidate # 524.054 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) 524.054 * * [simplify]: iters left: 6 (11 enodes) 524.058 * * [simplify]: iters left: 5 (42 enodes) 524.071 * * [simplify]: iters left: 4 (67 enodes) 524.092 * * [simplify]: iters left: 3 (113 enodes) 524.136 * * [simplify]: iters left: 2 (227 enodes) 524.234 * * [simplify]: iters left: 1 (460 enodes) 524.498 * * [simplify]: Extracting #0: cost 1 inf + 0 524.498 * * [simplify]: Extracting #1: cost 27 inf + 0 524.499 * * [simplify]: Extracting #2: cost 128 inf + 1 524.499 * * [simplify]: Extracting #3: cost 230 inf + 336 524.502 * * [simplify]: Extracting #4: cost 174 inf + 9113 524.508 * * [simplify]: Extracting #5: cost 47 inf + 41174 524.526 * * [simplify]: Extracting #6: cost 8 inf + 76412 524.553 * * [simplify]: Extracting #7: cost 0 inf + 84921 524.579 * * [simplify]: Extracting #8: cost 0 inf + 84670 524.598 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 524.598 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k)))) 524.598 * * * * [progress]: [ 69 / 226 ] simplifiying candidate # 524.599 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) 524.599 * * [simplify]: iters left: 5 (10 enodes) 524.602 * * [simplify]: iters left: 4 (37 enodes) 524.608 * * [simplify]: iters left: 3 (58 enodes) 524.619 * * [simplify]: iters left: 2 (98 enodes) 524.648 * * [simplify]: iters left: 1 (170 enodes) 524.687 * * [simplify]: Extracting #0: cost 1 inf + 0 524.687 * * [simplify]: Extracting #1: cost 12 inf + 0 524.687 * * [simplify]: Extracting #2: cost 51 inf + 1 524.687 * * [simplify]: Extracting #3: cost 75 inf + 6 524.687 * * [simplify]: Extracting #4: cost 65 inf + 882 524.688 * * [simplify]: Extracting #5: cost 36 inf + 4827 524.691 * * [simplify]: Extracting #6: cost 11 inf + 14483 524.698 * * [simplify]: Extracting #7: cost 0 inf + 23347 524.705 * * [simplify]: Extracting #8: cost 0 inf + 23054 524.712 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 524.712 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k)))) 524.713 * * * * [progress]: [ 70 / 226 ] simplifiying candidate # 524.713 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) 524.713 * * [simplify]: iters left: 5 (9 enodes) 524.719 * * [simplify]: iters left: 4 (35 enodes) 524.728 * * [simplify]: iters left: 3 (65 enodes) 524.743 * * [simplify]: iters left: 2 (106 enodes) 524.770 * * [simplify]: iters left: 1 (178 enodes) 524.834 * * [simplify]: Extracting #0: cost 1 inf + 0 524.835 * * [simplify]: Extracting #1: cost 18 inf + 0 524.835 * * [simplify]: Extracting #2: cost 35 inf + 46 524.835 * * [simplify]: Extracting #3: cost 27 inf + 930 524.836 * * [simplify]: Extracting #4: cost 12 inf + 6845 524.837 * * [simplify]: Extracting #5: cost 1 inf + 11470 524.839 * * [simplify]: Extracting #6: cost 0 inf + 11764 524.840 * [simplify]: Simplified to (* (* PI 2) n) 524.840 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 524.840 * * * * [progress]: [ 71 / 226 ] simplifiying candidate # 524.840 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 524.841 * * [simplify]: iters left: 6 (10 enodes) 524.844 * * [simplify]: iters left: 5 (41 enodes) 524.854 * * [simplify]: iters left: 4 (66 enodes) 524.866 * * [simplify]: iters left: 3 (116 enodes) 524.896 * * [simplify]: iters left: 2 (219 enodes) 524.965 * * [simplify]: Extracting #0: cost 1 inf + 0 524.965 * * [simplify]: Extracting #1: cost 12 inf + 0 524.965 * * [simplify]: Extracting #2: cost 69 inf + 1 524.966 * * [simplify]: Extracting #3: cost 115 inf + 6 524.967 * * [simplify]: Extracting #4: cost 104 inf + 1247 524.970 * * [simplify]: Extracting #5: cost 56 inf + 11061 524.980 * * [simplify]: Extracting #6: cost 4 inf + 34062 524.991 * * [simplify]: Extracting #7: cost 0 inf + 35882 524.997 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 524.997 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k)))) 524.997 * * * * [progress]: [ 72 / 226 ] simplifiying candidate # 524.997 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 524.997 * * [simplify]: iters left: 5 (9 enodes) 525.000 * * [simplify]: iters left: 4 (36 enodes) 525.007 * * [simplify]: iters left: 3 (57 enodes) 525.019 * * [simplify]: iters left: 2 (96 enodes) 525.049 * * [simplify]: iters left: 1 (171 enodes) 525.102 * * [simplify]: Extracting #0: cost 1 inf + 0 525.102 * * [simplify]: Extracting #1: cost 12 inf + 0 525.102 * * [simplify]: Extracting #2: cost 50 inf + 1 525.103 * * [simplify]: Extracting #3: cost 75 inf + 6 525.104 * * [simplify]: Extracting #4: cost 59 inf + 1253 525.107 * * [simplify]: Extracting #5: cost 25 inf + 8058 525.112 * * [simplify]: Extracting #6: cost 3 inf + 20149 525.119 * * [simplify]: Extracting #7: cost 0 inf + 22178 525.122 * * [simplify]: Extracting #8: cost 0 inf + 22007 525.126 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 525.126 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k)))) 525.126 * * * * [progress]: [ 73 / 226 ] simplifiying candidate # 525.126 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 525.126 * * [simplify]: iters left: 5 (8 enodes) 525.129 * * [simplify]: iters left: 4 (34 enodes) 525.139 * * [simplify]: iters left: 3 (64 enodes) 525.153 * * [simplify]: iters left: 2 (105 enodes) 525.189 * * [simplify]: iters left: 1 (177 enodes) 525.255 * * [simplify]: Extracting #0: cost 1 inf + 0 525.255 * * [simplify]: Extracting #1: cost 17 inf + 0 525.255 * * [simplify]: Extracting #2: cost 34 inf + 46 525.255 * * [simplify]: Extracting #3: cost 26 inf + 466 525.256 * * [simplify]: Extracting #4: cost 11 inf + 6543 525.257 * * [simplify]: Extracting #5: cost 1 inf + 10885 525.259 * * [simplify]: Extracting #6: cost 0 inf + 11179 525.262 * [simplify]: Simplified to (* (* PI 2) n) 525.262 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 525.262 * * * * [progress]: [ 74 / 226 ] simplifiying candidate # 525.263 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) 525.263 * * [simplify]: iters left: 6 (12 enodes) 525.266 * * [simplify]: iters left: 5 (52 enodes) 525.275 * * [simplify]: iters left: 4 (94 enodes) 525.295 * * [simplify]: iters left: 3 (169 enodes) 525.328 * * [simplify]: iters left: 2 (354 enodes) 525.480 * * [simplify]: Extracting #0: cost 1 inf + 0 525.480 * * [simplify]: Extracting #1: cost 13 inf + 0 525.480 * * [simplify]: Extracting #2: cost 82 inf + 1 525.481 * * [simplify]: Extracting #3: cost 177 inf + 6 525.482 * * [simplify]: Extracting #4: cost 208 inf + 584 525.484 * * [simplify]: Extracting #5: cost 129 inf + 13160 525.490 * * [simplify]: Extracting #6: cost 25 inf + 41603 525.501 * * [simplify]: Extracting #7: cost 0 inf + 57759 525.521 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) 525.521 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) (sqrt k)))) 525.521 * * * * [progress]: [ 75 / 226 ] simplifiying candidate # 525.522 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) 525.522 * * [simplify]: iters left: 5 (11 enodes) 525.528 * * [simplify]: iters left: 4 (47 enodes) 525.543 * * [simplify]: iters left: 3 (80 enodes) 525.569 * * [simplify]: iters left: 2 (135 enodes) 525.612 * * [simplify]: iters left: 1 (261 enodes) 525.684 * * [simplify]: Extracting #0: cost 1 inf + 0 525.684 * * [simplify]: Extracting #1: cost 13 inf + 0 525.684 * * [simplify]: Extracting #2: cost 65 inf + 1 525.685 * * [simplify]: Extracting #3: cost 126 inf + 6 525.686 * * [simplify]: Extracting #4: cost 140 inf + 468 525.695 * * [simplify]: Extracting #5: cost 56 inf + 19218 525.702 * * [simplify]: Extracting #6: cost 2 inf + 36380 525.708 * * [simplify]: Extracting #7: cost 0 inf + 36703 525.714 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2))) 525.714 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) (sqrt k)))) 525.715 * * * * [progress]: [ 76 / 226 ] simplifiying candidate # 525.715 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 525.715 * * [simplify]: iters left: 5 (10 enodes) 525.718 * * [simplify]: iters left: 4 (42 enodes) 525.725 * * [simplify]: iters left: 3 (74 enodes) 525.745 * * [simplify]: iters left: 2 (111 enodes) 525.780 * * [simplify]: iters left: 1 (185 enodes) 525.849 * * [simplify]: Extracting #0: cost 1 inf + 0 525.849 * * [simplify]: Extracting #1: cost 13 inf + 0 525.850 * * [simplify]: Extracting #2: cost 62 inf + 1 525.850 * * [simplify]: Extracting #3: cost 86 inf + 214 525.852 * * [simplify]: Extracting #4: cost 63 inf + 2998 525.855 * * [simplify]: Extracting #5: cost 28 inf + 9933 525.862 * * [simplify]: Extracting #6: cost 1 inf + 26904 525.866 * * [simplify]: Extracting #7: cost 0 inf + 26783 525.870 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1 k)) 525.870 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (- 1 k)) (/ (/ 1 2) 2)) (sqrt k)))) 525.870 * * * * [progress]: [ 77 / 226 ] simplifiying candidate # 525.870 * [simplify]: Simplifying (pow (* n (* 2 PI)) 1) 525.870 * * [simplify]: iters left: 5 (7 enodes) 525.873 * * [simplify]: iters left: 4 (30 enodes) 525.880 * * [simplify]: iters left: 3 (58 enodes) 525.893 * * [simplify]: iters left: 2 (99 enodes) 525.926 * * [simplify]: iters left: 1 (171 enodes) 525.966 * * [simplify]: Extracting #0: cost 1 inf + 0 525.966 * * [simplify]: Extracting #1: cost 18 inf + 0 525.967 * * [simplify]: Extracting #2: cost 35 inf + 46 525.967 * * [simplify]: Extracting #3: cost 25 inf + 1347 525.968 * * [simplify]: Extracting #4: cost 14 inf + 5442 525.969 * * [simplify]: Extracting #5: cost 7 inf + 7909 525.970 * * [simplify]: Extracting #6: cost 0 inf + 11764 525.972 * [simplify]: Simplified to (* (* PI 2) n) 525.972 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 525.972 * * * * [progress]: [ 78 / 226 ] simplifiying candidate # 525.972 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 525.972 * * [simplify]: iters left: 5 (10 enodes) 525.976 * * [simplify]: iters left: 4 (45 enodes) 525.985 * * [simplify]: iters left: 3 (78 enodes) 526.011 * * [simplify]: iters left: 2 (120 enodes) 526.035 * * [simplify]: iters left: 1 (205 enodes) 526.103 * * [simplify]: Extracting #0: cost 1 inf + 0 526.104 * * [simplify]: Extracting #1: cost 13 inf + 0 526.104 * * [simplify]: Extracting #2: cost 64 inf + 1 526.104 * * [simplify]: Extracting #3: cost 99 inf + 49 526.104 * * [simplify]: Extracting #4: cost 97 inf + 806 526.106 * * [simplify]: Extracting #5: cost 58 inf + 4778 526.108 * * [simplify]: Extracting #6: cost 15 inf + 17624 526.112 * * [simplify]: Extracting #7: cost 1 inf + 26643 526.116 * * [simplify]: Extracting #8: cost 0 inf + 26968 526.120 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 526.120 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 2)) (sqrt k)))) 526.121 * * * * [progress]: [ 79 / 226 ] simplifiying candidate # 526.121 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 526.121 * * [simplify]: iters left: 6 (8 enodes) 526.125 * * [simplify]: iters left: 5 (38 enodes) 526.144 * * [simplify]: iters left: 4 (66 enodes) 526.159 * * [simplify]: iters left: 3 (112 enodes) 526.179 * * [simplify]: iters left: 2 (214 enodes) 526.245 * * [simplify]: iters left: 1 (443 enodes) 526.455 * * [simplify]: Extracting #0: cost 1 inf + 0 526.456 * * [simplify]: Extracting #1: cost 29 inf + 0 526.457 * * [simplify]: Extracting #2: cost 107 inf + 2 526.458 * * [simplify]: Extracting #3: cost 174 inf + 10 526.461 * * [simplify]: Extracting #4: cost 141 inf + 8754 526.477 * * [simplify]: Extracting #5: cost 26 inf + 42278 526.500 * * [simplify]: Extracting #6: cost 0 inf + 54975 526.523 * * [simplify]: Extracting #7: cost 0 inf + 54600 526.540 * [simplify]: Simplified to (pow n (/ (- 1 k) 4)) 526.540 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (sqrt k)))) 526.541 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 526.541 * * [simplify]: iters left: 6 (9 enodes) 526.544 * * [simplify]: iters left: 5 (42 enodes) 526.552 * * [simplify]: iters left: 4 (70 enodes) 526.569 * * [simplify]: iters left: 3 (120 enodes) 526.598 * * [simplify]: iters left: 2 (236 enodes) 526.662 * * [simplify]: iters left: 1 (440 enodes) 526.856 * * [simplify]: Extracting #0: cost 1 inf + 0 526.857 * * [simplify]: Extracting #1: cost 27 inf + 0 526.857 * * [simplify]: Extracting #2: cost 107 inf + 1 526.859 * * [simplify]: Extracting #3: cost 183 inf + 94 526.861 * * [simplify]: Extracting #4: cost 179 inf + 1136 526.868 * * [simplify]: Extracting #5: cost 79 inf + 19053 526.878 * * [simplify]: Extracting #6: cost 12 inf + 53872 526.888 * * [simplify]: Extracting #7: cost 0 inf + 59705 526.897 * * [simplify]: Extracting #8: cost 0 inf + 58278 526.908 * * [simplify]: Extracting #9: cost 0 inf + 58107 526.931 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 526.932 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt k)))) 526.932 * * * * [progress]: [ 80 / 226 ] simplifiying candidate # 526.932 * * * * [progress]: [ 81 / 226 ] simplifiying candidate # 526.932 * [simplify]: Simplifying (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 526.932 * * [simplify]: iters left: 6 (12 enodes) 526.940 * * [simplify]: iters left: 5 (56 enodes) 526.956 * * [simplify]: iters left: 4 (108 enodes) 526.976 * * [simplify]: iters left: 3 (245 enodes) 527.080 * * [simplify]: Extracting #0: cost 1 inf + 0 527.080 * * [simplify]: Extracting #1: cost 52 inf + 0 527.081 * * [simplify]: Extracting #2: cost 136 inf + 3 527.081 * * [simplify]: Extracting #3: cost 209 inf + 605 527.083 * * [simplify]: Extracting #4: cost 142 inf + 11860 527.089 * * [simplify]: Extracting #5: cost 21 inf + 38875 527.096 * * [simplify]: Extracting #6: cost 0 inf + 43211 527.104 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (log (* (* PI 2) n)))) 527.104 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (/ (- 1 k) (/ 4 (log (* (* PI 2) n))))) (sqrt k)))) 527.104 * * * * [progress]: [ 82 / 226 ] simplifiying candidate # 527.105 * [simplify]: Simplifying (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 527.105 * * [simplify]: iters left: 6 (12 enodes) 527.110 * * [simplify]: iters left: 5 (54 enodes) 527.126 * * [simplify]: iters left: 4 (92 enodes) 527.156 * * [simplify]: iters left: 3 (154 enodes) 527.200 * * [simplify]: iters left: 2 (300 enodes) 527.279 * * [simplify]: Extracting #0: cost 1 inf + 0 527.279 * * [simplify]: Extracting #1: cost 18 inf + 0 527.280 * * [simplify]: Extracting #2: cost 66 inf + 0 527.280 * * [simplify]: Extracting #3: cost 143 inf + 3 527.280 * * [simplify]: Extracting #4: cost 161 inf + 181 527.281 * * [simplify]: Extracting #5: cost 158 inf + 765 527.283 * * [simplify]: Extracting #6: cost 91 inf + 9833 527.289 * * [simplify]: Extracting #7: cost 33 inf + 36755 527.297 * * [simplify]: Extracting #8: cost 4 inf + 54853 527.311 * * [simplify]: Extracting #9: cost 1 inf + 55514 527.321 * * [simplify]: Extracting #10: cost 0 inf + 56129 527.330 * [simplify]: Simplified to (exp (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) 527.330 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (log (exp (pow (* (* PI 2) n) (- 1/4 (/ k 4))))) (sqrt k)))) 527.330 * * * * [progress]: [ 83 / 226 ] simplifiying candidate # 527.330 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 527.330 * * [simplify]: iters left: 6 (13 enodes) 527.334 * * [simplify]: iters left: 5 (57 enodes) 527.346 * * [simplify]: iters left: 4 (93 enodes) 527.368 * * [simplify]: iters left: 3 (149 enodes) 527.399 * * [simplify]: iters left: 2 (272 enodes) 527.475 * * [simplify]: iters left: 1 (483 enodes) 527.688 * * [simplify]: Extracting #0: cost 1 inf + 0 527.688 * * [simplify]: Extracting #1: cost 3 inf + 0 527.688 * * [simplify]: Extracting #2: cost 5 inf + 0 527.688 * * [simplify]: Extracting #3: cost 34 inf + 0 527.688 * * [simplify]: Extracting #4: cost 128 inf + 1 527.692 * * [simplify]: Extracting #5: cost 206 inf + 220 527.694 * * [simplify]: Extracting #6: cost 183 inf + 5478 527.700 * * [simplify]: Extracting #7: cost 81 inf + 25492 527.718 * * [simplify]: Extracting #8: cost 11 inf + 61924 527.732 * * [simplify]: Extracting #9: cost 0 inf + 73035 527.749 * * [simplify]: Extracting #10: cost 0 inf + 72755 527.777 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k))))) 527.777 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (* (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k))))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))) 527.777 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 527.777 * * [simplify]: iters left: 6 (12 enodes) 527.782 * * [simplify]: iters left: 5 (54 enodes) 527.791 * * [simplify]: iters left: 4 (90 enodes) 527.810 * * [simplify]: iters left: 3 (149 enodes) 527.864 * * [simplify]: iters left: 2 (273 enodes) 527.940 * * [simplify]: iters left: 1 (479 enodes) 528.126 * * [simplify]: Extracting #0: cost 1 inf + 0 528.126 * * [simplify]: Extracting #1: cost 3 inf + 0 528.126 * * [simplify]: Extracting #2: cost 30 inf + 0 528.127 * * [simplify]: Extracting #3: cost 125 inf + 1 528.128 * * [simplify]: Extracting #4: cost 210 inf + 179 528.129 * * [simplify]: Extracting #5: cost 199 inf + 1517 528.133 * * [simplify]: Extracting #6: cost 78 inf + 19210 528.146 * * [simplify]: Extracting #7: cost 25 inf + 43900 528.161 * * [simplify]: Extracting #8: cost 0 inf + 63226 528.188 * * [simplify]: Extracting #9: cost 0 inf + 62588 528.203 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) 528.203 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (sqrt k)))) 528.203 * * * * [progress]: [ 84 / 226 ] simplifiying candidate # 528.203 * [simplify]: Simplifying (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 528.204 * * [simplify]: iters left: 6 (13 enodes) 528.208 * * [simplify]: iters left: 5 (60 enodes) 528.220 * * [simplify]: iters left: 4 (118 enodes) 528.271 * * [simplify]: iters left: 3 (255 enodes) 528.349 * * [simplify]: Extracting #0: cost 1 inf + 0 528.349 * * [simplify]: Extracting #1: cost 19 inf + 0 528.349 * * [simplify]: Extracting #2: cost 66 inf + 1 528.350 * * [simplify]: Extracting #3: cost 113 inf + 3 528.351 * * [simplify]: Extracting #4: cost 121 inf + 181 528.352 * * [simplify]: Extracting #5: cost 118 inf + 600 528.355 * * [simplify]: Extracting #6: cost 62 inf + 13591 528.364 * * [simplify]: Extracting #7: cost 17 inf + 34061 528.380 * * [simplify]: Extracting #8: cost 0 inf + 45821 528.388 * [simplify]: Simplified to (* (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8))))) 528.388 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (cbrt (* (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8)))))) (sqrt k)))) 528.388 * * * * [progress]: [ 85 / 226 ] simplifiying candidate # 528.388 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 528.388 * * [simplify]: iters left: 6 (12 enodes) 528.392 * * [simplify]: iters left: 5 (54 enodes) 528.402 * * [simplify]: iters left: 4 (91 enodes) 528.424 * * [simplify]: iters left: 3 (147 enodes) 528.477 * * [simplify]: iters left: 2 (263 enodes) 528.580 * * [simplify]: iters left: 1 (481 enodes) 528.825 * * [simplify]: Extracting #0: cost 1 inf + 0 528.825 * * [simplify]: Extracting #1: cost 4 inf + 0 528.826 * * [simplify]: Extracting #2: cost 35 inf + 0 528.826 * * [simplify]: Extracting #3: cost 125 inf + 1 528.828 * * [simplify]: Extracting #4: cost 192 inf + 179 528.830 * * [simplify]: Extracting #5: cost 180 inf + 1552 528.841 * * [simplify]: Extracting #6: cost 91 inf + 13668 528.857 * * [simplify]: Extracting #7: cost 23 inf + 50304 528.880 * * [simplify]: Extracting #8: cost 0 inf + 70176 528.902 * * [simplify]: Extracting #9: cost 0 inf + 68107 528.925 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) 528.925 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))) 528.926 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 528.926 * * [simplify]: iters left: 6 (12 enodes) 528.934 * * [simplify]: iters left: 5 (54 enodes) 528.953 * * [simplify]: iters left: 4 (91 enodes) 528.982 * * [simplify]: iters left: 3 (147 enodes) 529.036 * * [simplify]: iters left: 2 (263 enodes) 529.135 * * [simplify]: iters left: 1 (481 enodes) 529.358 * * [simplify]: Extracting #0: cost 1 inf + 0 529.358 * * [simplify]: Extracting #1: cost 4 inf + 0 529.358 * * [simplify]: Extracting #2: cost 35 inf + 0 529.359 * * [simplify]: Extracting #3: cost 125 inf + 1 529.360 * * [simplify]: Extracting #4: cost 192 inf + 179 529.362 * * [simplify]: Extracting #5: cost 180 inf + 1552 529.369 * * [simplify]: Extracting #6: cost 91 inf + 13668 529.385 * * [simplify]: Extracting #7: cost 23 inf + 50304 529.401 * * [simplify]: Extracting #8: cost 0 inf + 70176 529.413 * * [simplify]: Extracting #9: cost 0 inf + 68107 529.433 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) 529.434 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (sqrt k)))) 529.434 * * * * [progress]: [ 86 / 226 ] simplifiying candidate # 529.434 * * * * [progress]: [ 87 / 226 ] simplifiying candidate # 529.434 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 529.434 * * [simplify]: iters left: 6 (12 enodes) 529.442 * * [simplify]: iters left: 5 (55 enodes) 529.454 * * [simplify]: iters left: 4 (97 enodes) 529.471 * * [simplify]: iters left: 3 (161 enodes) 529.505 * * [simplify]: iters left: 2 (302 enodes) 529.581 * * [simplify]: Extracting #0: cost 1 inf + 0 529.582 * * [simplify]: Extracting #1: cost 14 inf + 0 529.582 * * [simplify]: Extracting #2: cost 72 inf + 1 529.583 * * [simplify]: Extracting #3: cost 125 inf + 10 529.583 * * [simplify]: Extracting #4: cost 118 inf + 767 529.587 * * [simplify]: Extracting #5: cost 55 inf + 8389 529.594 * * [simplify]: Extracting #6: cost 15 inf + 19807 529.603 * * [simplify]: Extracting #7: cost 2 inf + 30022 529.614 * * [simplify]: Extracting #8: cost 0 inf + 31356 529.627 * * [simplify]: Extracting #9: cost 0 inf + 31315 529.637 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 8)) 529.637 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt k)))) 529.637 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 529.638 * * [simplify]: iters left: 6 (12 enodes) 529.645 * * [simplify]: iters left: 5 (55 enodes) 529.661 * * [simplify]: iters left: 4 (97 enodes) 529.679 * * [simplify]: iters left: 3 (161 enodes) 529.734 * * [simplify]: iters left: 2 (302 enodes) 529.844 * * [simplify]: Extracting #0: cost 1 inf + 0 529.844 * * [simplify]: Extracting #1: cost 14 inf + 0 529.844 * * [simplify]: Extracting #2: cost 72 inf + 1 529.845 * * [simplify]: Extracting #3: cost 125 inf + 10 529.846 * * [simplify]: Extracting #4: cost 118 inf + 767 529.849 * * [simplify]: Extracting #5: cost 55 inf + 8389 529.857 * * [simplify]: Extracting #6: cost 15 inf + 19807 529.866 * * [simplify]: Extracting #7: cost 2 inf + 30022 529.876 * * [simplify]: Extracting #8: cost 0 inf + 31356 529.887 * * [simplify]: Extracting #9: cost 0 inf + 31315 529.892 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 8)) 529.892 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 8))) (sqrt k)))) 529.892 * * * * [progress]: [ 88 / 226 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))> 529.892 * [simplify]: Simplifying (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 529.892 * * [simplify]: iters left: 6 (12 enodes) 529.897 * * [simplify]: iters left: 5 (51 enodes) 529.906 * * [simplify]: iters left: 4 (87 enodes) 529.931 * * [simplify]: iters left: 3 (146 enodes) 529.982 * * [simplify]: iters left: 2 (263 enodes) 530.055 * * [simplify]: iters left: 1 (489 enodes) 530.332 * * [simplify]: Extracting #0: cost 1 inf + 0 530.332 * * [simplify]: Extracting #1: cost 2 inf + 0 530.332 * * [simplify]: Extracting #2: cost 28 inf + 0 530.332 * * [simplify]: Extracting #3: cost 126 inf + 1 530.333 * * [simplify]: Extracting #4: cost 214 inf + 262 530.334 * * [simplify]: Extracting #5: cost 214 inf + 853 530.338 * * [simplify]: Extracting #6: cost 102 inf + 21140 530.347 * * [simplify]: Extracting #7: cost 24 inf + 51884 530.358 * * [simplify]: Extracting #8: cost 0 inf + 68600 530.380 * [simplify]: Simplified to (real->posit16 (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) 530.380 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (posit16->real (real->posit16 (pow (* (* PI 2) n) (* 1/4 (- 1 k))))) (sqrt k)))) 530.380 * * * * [progress]: [ 89 / 226 ] simplifiying candidate # 530.380 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) 530.380 * * [simplify]: iters left: 6 (14 enodes) 530.385 * * [simplify]: iters left: 5 (60 enodes) 530.395 * * [simplify]: iters left: 4 (108 enodes) 530.428 * * [simplify]: iters left: 3 (252 enodes) 530.528 * * [simplify]: Extracting #0: cost 1 inf + 0 530.528 * * [simplify]: Extracting #1: cost 27 inf + 0 530.529 * * [simplify]: Extracting #2: cost 96 inf + 2 530.530 * * [simplify]: Extracting #3: cost 158 inf + 77 530.532 * * [simplify]: Extracting #4: cost 100 inf + 8570 530.541 * * [simplify]: Extracting #5: cost 19 inf + 28573 530.553 * * [simplify]: Extracting #6: cost 0 inf + 33841 530.565 * * [simplify]: Extracting #7: cost 0 inf + 33761 530.577 * [simplify]: Simplified to (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k))) 530.577 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 530.577 * * * * [progress]: [ 90 / 226 ] simplifiying candidate # 530.578 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 530.578 * * [simplify]: iters left: 6 (13 enodes) 530.586 * * [simplify]: iters left: 5 (58 enodes) 530.596 * * [simplify]: iters left: 4 (101 enodes) 530.614 * * [simplify]: iters left: 3 (210 enodes) 530.669 * * [simplify]: Extracting #0: cost 1 inf + 0 530.669 * * [simplify]: Extracting #1: cost 24 inf + 0 530.670 * * [simplify]: Extracting #2: cost 85 inf + 2 530.670 * * [simplify]: Extracting #3: cost 143 inf + 160 530.671 * * [simplify]: Extracting #4: cost 87 inf + 7821 530.675 * * [simplify]: Extracting #5: cost 25 inf + 21404 530.679 * * [simplify]: Extracting #6: cost 4 inf + 26719 530.684 * * [simplify]: Extracting #7: cost 0 inf + 27452 530.690 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) 530.690 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 530.690 * * * * [progress]: [ 91 / 226 ] simplifiying candidate # 530.690 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 530.690 * * [simplify]: iters left: 6 (12 enodes) 530.694 * * [simplify]: iters left: 5 (57 enodes) 530.713 * * [simplify]: iters left: 4 (111 enodes) 530.748 * * [simplify]: iters left: 3 (214 enodes) 530.794 * * [simplify]: iters left: 2 (490 enodes) 530.963 * * [simplify]: Extracting #0: cost 1 inf + 0 530.964 * * [simplify]: Extracting #1: cost 38 inf + 0 530.964 * * [simplify]: Extracting #2: cost 193 inf + 4 530.965 * * [simplify]: Extracting #3: cost 287 inf + 867 530.968 * * [simplify]: Extracting #4: cost 206 inf + 12914 530.979 * * [simplify]: Extracting #5: cost 45 inf + 45918 531.007 * * [simplify]: Extracting #6: cost 0 inf + 56650 531.031 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4) 531.031 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 531.031 * * * * [progress]: [ 92 / 226 ] simplifiying candidate # 531.031 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 531.032 * * [simplify]: iters left: 6 (12 enodes) 531.039 * * [simplify]: iters left: 5 (57 enodes) 531.057 * * [simplify]: iters left: 4 (111 enodes) 531.076 * * [simplify]: iters left: 3 (214 enodes) 531.134 * * [simplify]: iters left: 2 (490 enodes) 531.320 * * [simplify]: Extracting #0: cost 1 inf + 0 531.320 * * [simplify]: Extracting #1: cost 38 inf + 0 531.321 * * [simplify]: Extracting #2: cost 193 inf + 4 531.323 * * [simplify]: Extracting #3: cost 287 inf + 867 531.329 * * [simplify]: Extracting #4: cost 206 inf + 12914 531.346 * * [simplify]: Extracting #5: cost 45 inf + 45918 531.369 * * [simplify]: Extracting #6: cost 0 inf + 56650 531.385 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4) 531.386 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 531.386 * * * * [progress]: [ 93 / 226 ] simplifiying candidate # 531.386 * [simplify]: Simplifying (* 1 (/ (/ (- 1 k) 2) 2)) 531.386 * * [simplify]: iters left: 6 (7 enodes) 531.389 * * [simplify]: iters left: 5 (33 enodes) 531.396 * * [simplify]: iters left: 4 (59 enodes) 531.410 * * [simplify]: iters left: 3 (83 enodes) 531.436 * * [simplify]: iters left: 2 (117 enodes) 531.471 * * [simplify]: iters left: 1 (156 enodes) 531.527 * * [simplify]: Extracting #0: cost 1 inf + 0 531.527 * * [simplify]: Extracting #1: cost 16 inf + 0 531.528 * * [simplify]: Extracting #2: cost 31 inf + 5 531.528 * * [simplify]: Extracting #3: cost 33 inf + 49 531.529 * * [simplify]: Extracting #4: cost 11 inf + 1503 531.530 * * [simplify]: Extracting #5: cost 2 inf + 2201 531.532 * * [simplify]: Extracting #6: cost 0 inf + 2405 531.536 * [simplify]: Simplified to (/ (- 1 k) 4) 531.536 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 531.536 * * * * [progress]: [ 94 / 226 ] simplifiying candidate # 531.536 * [simplify]: Simplifying (* 1 (/ (/ (- 1 k) 2) 2)) 531.537 * * [simplify]: iters left: 6 (7 enodes) 531.542 * * [simplify]: iters left: 5 (33 enodes) 531.556 * * [simplify]: iters left: 4 (59 enodes) 531.575 * * [simplify]: iters left: 3 (83 enodes) 531.601 * * [simplify]: iters left: 2 (117 enodes) 531.632 * * [simplify]: iters left: 1 (156 enodes) 531.663 * * [simplify]: Extracting #0: cost 1 inf + 0 531.663 * * [simplify]: Extracting #1: cost 16 inf + 0 531.663 * * [simplify]: Extracting #2: cost 31 inf + 5 531.663 * * [simplify]: Extracting #3: cost 33 inf + 49 531.663 * * [simplify]: Extracting #4: cost 11 inf + 1503 531.664 * * [simplify]: Extracting #5: cost 2 inf + 2201 531.665 * * [simplify]: Extracting #6: cost 0 inf + 2405 531.666 * [simplify]: Simplified to (/ (- 1 k) 4) 531.666 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 531.666 * * * * [progress]: [ 95 / 226 ] simplifiying candidate # 531.666 * [simplify]: Simplifying (* 1 (/ (/ (- 1 k) 2) 2)) 531.666 * * [simplify]: iters left: 6 (7 enodes) 531.669 * * [simplify]: iters left: 5 (33 enodes) 531.676 * * [simplify]: iters left: 4 (59 enodes) 531.685 * * [simplify]: iters left: 3 (83 enodes) 531.700 * * [simplify]: iters left: 2 (117 enodes) 531.718 * * [simplify]: iters left: 1 (156 enodes) 531.759 * * [simplify]: Extracting #0: cost 1 inf + 0 531.759 * * [simplify]: Extracting #1: cost 16 inf + 0 531.759 * * [simplify]: Extracting #2: cost 31 inf + 5 531.760 * * [simplify]: Extracting #3: cost 33 inf + 49 531.760 * * [simplify]: Extracting #4: cost 11 inf + 1503 531.762 * * [simplify]: Extracting #5: cost 2 inf + 2201 531.764 * * [simplify]: Extracting #6: cost 0 inf + 2405 531.765 * [simplify]: Simplified to (/ (- 1 k) 4) 531.765 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 531.766 * * * * [progress]: [ 96 / 226 ] simplifiying candidate # 531.766 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) 531.766 * * [simplify]: iters left: 5 (9 enodes) 531.773 * * [simplify]: iters left: 4 (42 enodes) 531.789 * * [simplify]: iters left: 3 (71 enodes) 531.813 * * [simplify]: iters left: 2 (117 enodes) 531.838 * * [simplify]: iters left: 1 (181 enodes) 531.877 * * [simplify]: Extracting #0: cost 1 inf + 0 531.877 * * [simplify]: Extracting #1: cost 12 inf + 0 531.877 * * [simplify]: Extracting #2: cost 40 inf + 2 531.878 * * [simplify]: Extracting #3: cost 39 inf + 51 531.878 * * [simplify]: Extracting #4: cost 26 inf + 2784 531.881 * * [simplify]: Extracting #5: cost 4 inf + 12523 531.885 * * [simplify]: Extracting #6: cost 0 inf + 14914 531.888 * [simplify]: Simplified to (pow (* (* PI 2) n) 1/4) 531.888 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) 1/4) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 531.888 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 531.889 * * [simplify]: iters left: 5 (9 enodes) 531.894 * * [simplify]: iters left: 4 (37 enodes) 531.905 * * [simplify]: iters left: 3 (57 enodes) 531.914 * * [simplify]: iters left: 2 (93 enodes) 531.931 * * [simplify]: iters left: 1 (170 enodes) 531.992 * * [simplify]: Extracting #0: cost 1 inf + 0 531.993 * * [simplify]: Extracting #1: cost 13 inf + 0 531.993 * * [simplify]: Extracting #2: cost 59 inf + 1 531.993 * * [simplify]: Extracting #3: cost 78 inf + 176 531.995 * * [simplify]: Extracting #4: cost 40 inf + 3875 532.000 * * [simplify]: Extracting #5: cost 7 inf + 16988 532.006 * * [simplify]: Extracting #6: cost 0 inf + 20577 532.011 * * [simplify]: Extracting #7: cost 0 inf + 20336 532.014 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 532.014 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 532.014 * * * * [progress]: [ 97 / 226 ] simplifiying candidate # 532.014 * [simplify]: Simplifying (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) 532.014 * * [simplify]: iters left: 6 (13 enodes) 532.018 * * [simplify]: iters left: 5 (57 enodes) 532.028 * * [simplify]: iters left: 4 (91 enodes) 532.044 * * [simplify]: iters left: 3 (136 enodes) 532.090 * * [simplify]: iters left: 2 (218 enodes) 532.134 * * [simplify]: iters left: 1 (388 enodes) 532.376 * * [simplify]: Extracting #0: cost 1 inf + 0 532.376 * * [simplify]: Extracting #1: cost 29 inf + 0 532.377 * * [simplify]: Extracting #2: cost 119 inf + 1 532.378 * * [simplify]: Extracting #3: cost 204 inf + 217 532.380 * * [simplify]: Extracting #4: cost 216 inf + 429 532.382 * * [simplify]: Extracting #5: cost 223 inf + 430 532.386 * * [simplify]: Extracting #6: cost 182 inf + 8494 532.403 * * [simplify]: Extracting #7: cost 78 inf + 35629 532.423 * * [simplify]: Extracting #8: cost 38 inf + 65026 532.441 * * [simplify]: Extracting #9: cost 0 inf + 105210 532.465 * * [simplify]: Extracting #10: cost 0 inf + 102091 532.495 * * [simplify]: Extracting #11: cost 0 inf + 100186 532.516 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 4)) (cbrt (/ (- 1 k) 4)))) 532.516 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 4)) (cbrt (/ (- 1 k) 4)))) (cbrt (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 532.516 * * * * [progress]: [ 98 / 226 ] simplifiying candidate # 532.516 * [simplify]: Simplifying (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) 532.517 * * [simplify]: iters left: 6 (12 enodes) 532.525 * * [simplify]: iters left: 5 (54 enodes) 532.543 * * [simplify]: iters left: 4 (86 enodes) 532.568 * * [simplify]: iters left: 3 (123 enodes) 532.607 * * [simplify]: iters left: 2 (182 enodes) 532.664 * * [simplify]: iters left: 1 (307 enodes) 532.753 * * [simplify]: Extracting #0: cost 1 inf + 0 532.753 * * [simplify]: Extracting #1: cost 27 inf + 0 532.753 * * [simplify]: Extracting #2: cost 98 inf + 1 532.754 * * [simplify]: Extracting #3: cost 131 inf + 175 532.754 * * [simplify]: Extracting #4: cost 131 inf + 431 532.755 * * [simplify]: Extracting #5: cost 130 inf + 598 532.756 * * [simplify]: Extracting #6: cost 99 inf + 4572 532.760 * * [simplify]: Extracting #7: cost 53 inf + 20362 532.773 * * [simplify]: Extracting #8: cost 8 inf + 60052 532.793 * * [simplify]: Extracting #9: cost 0 inf + 67958 532.814 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 4))) 532.814 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 4))) (sqrt (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 532.815 * * * * [progress]: [ 99 / 226 ] simplifiying candidate # 532.815 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) 532.815 * * [simplify]: iters left: 6 (15 enodes) 532.824 * * [simplify]: iters left: 5 (66 enodes) 532.848 * * [simplify]: iters left: 4 (115 enodes) 532.886 * * [simplify]: iters left: 3 (199 enodes) 532.961 * * [simplify]: iters left: 2 (451 enodes) 533.202 * * [simplify]: Extracting #0: cost 1 inf + 0 533.202 * * [simplify]: Extracting #1: cost 13 inf + 0 533.203 * * [simplify]: Extracting #2: cost 110 inf + 1 533.204 * * [simplify]: Extracting #3: cost 232 inf + 173 533.206 * * [simplify]: Extracting #4: cost 236 inf + 1151 533.209 * * [simplify]: Extracting #5: cost 220 inf + 4022 533.216 * * [simplify]: Extracting #6: cost 163 inf + 20966 533.240 * * [simplify]: Extracting #7: cost 25 inf + 75480 533.259 * * [simplify]: Extracting #8: cost 0 inf + 95233 533.300 * * [simplify]: Extracting #9: cost 0 inf + 93560 533.320 * * [simplify]: Extracting #10: cost 0 inf + 92880 533.341 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)))) 533.341 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 533.341 * * * * [progress]: [ 100 / 226 ] simplifiying candidate # 533.342 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) 533.342 * * [simplify]: iters left: 6 (14 enodes) 533.349 * * [simplify]: iters left: 5 (59 enodes) 533.368 * * [simplify]: iters left: 4 (93 enodes) 533.383 * * [simplify]: iters left: 3 (149 enodes) 533.431 * * [simplify]: iters left: 2 (289 enodes) 533.528 * * [simplify]: Extracting #0: cost 1 inf + 0 533.528 * * [simplify]: Extracting #1: cost 12 inf + 0 533.529 * * [simplify]: Extracting #2: cost 84 inf + 1 533.529 * * [simplify]: Extracting #3: cost 147 inf + 48 533.530 * * [simplify]: Extracting #4: cost 141 inf + 1153 533.531 * * [simplify]: Extracting #5: cost 139 inf + 1807 533.532 * * [simplify]: Extracting #6: cost 139 inf + 1728 533.532 * * [simplify]: Extracting #7: cost 131 inf + 2264 533.537 * * [simplify]: Extracting #8: cost 62 inf + 22751 533.547 * * [simplify]: Extracting #9: cost 6 inf + 52862 533.558 * * [simplify]: Extracting #10: cost 0 inf + 58480 533.571 * * [simplify]: Extracting #11: cost 0 inf + 58350 533.595 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) 533.595 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 533.595 * * * * [progress]: [ 101 / 226 ] simplifiying candidate # 533.596 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) 533.596 * * [simplify]: iters left: 6 (13 enodes) 533.604 * * [simplify]: iters left: 5 (54 enodes) 533.622 * * [simplify]: iters left: 4 (94 enodes) 533.650 * * [simplify]: iters left: 3 (138 enodes) 533.696 * * [simplify]: iters left: 2 (240 enodes) 533.783 * * [simplify]: iters left: 1 (482 enodes) 534.195 * * [simplify]: Extracting #0: cost 1 inf + 0 534.196 * * [simplify]: Extracting #1: cost 37 inf + 0 534.196 * * [simplify]: Extracting #2: cost 143 inf + 1 534.197 * * [simplify]: Extracting #3: cost 220 inf + 178 534.198 * * [simplify]: Extracting #4: cost 221 inf + 432 534.200 * * [simplify]: Extracting #5: cost 226 inf + 432 534.201 * * [simplify]: Extracting #6: cost 206 inf + 3898 534.208 * * [simplify]: Extracting #7: cost 104 inf + 30071 534.239 * * [simplify]: Extracting #8: cost 38 inf + 76484 534.282 * * [simplify]: Extracting #9: cost 1 inf + 117819 534.329 * * [simplify]: Extracting #10: cost 0 inf + 118972 534.374 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 534.375 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (/ (cbrt (/ (- 1 k) 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 534.376 * * * * [progress]: [ 102 / 226 ] simplifiying candidate # 534.376 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) 534.376 * * [simplify]: iters left: 6 (14 enodes) 534.385 * * [simplify]: iters left: 5 (59 enodes) 534.406 * * [simplify]: iters left: 4 (91 enodes) 534.427 * * [simplify]: iters left: 3 (141 enodes) 534.454 * * [simplify]: iters left: 2 (263 enodes) 534.555 * * [simplify]: Extracting #0: cost 1 inf + 0 534.555 * * [simplify]: Extracting #1: cost 13 inf + 0 534.555 * * [simplify]: Extracting #2: cost 78 inf + 1 534.555 * * [simplify]: Extracting #3: cost 138 inf + 6 534.556 * * [simplify]: Extracting #4: cost 122 inf + 2882 534.557 * * [simplify]: Extracting #5: cost 110 inf + 5153 534.558 * * [simplify]: Extracting #6: cost 106 inf + 5685 534.561 * * [simplify]: Extracting #7: cost 59 inf + 17800 534.567 * * [simplify]: Extracting #8: cost 19 inf + 38068 534.576 * * [simplify]: Extracting #9: cost 1 inf + 53840 534.594 * * [simplify]: Extracting #10: cost 0 inf + 54879 534.611 * * [simplify]: Extracting #11: cost 0 inf + 54800 534.620 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) 534.620 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 534.620 * * * * [progress]: [ 103 / 226 ] simplifiying candidate # 534.620 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) 534.620 * * [simplify]: iters left: 6 (13 enodes) 534.626 * * [simplify]: iters left: 5 (54 enodes) 534.635 * * [simplify]: iters left: 4 (82 enodes) 534.658 * * [simplify]: iters left: 3 (123 enodes) 534.685 * * [simplify]: iters left: 2 (207 enodes) 534.746 * * [simplify]: iters left: 1 (382 enodes) 534.984 * * [simplify]: Extracting #0: cost 1 inf + 0 534.984 * * [simplify]: Extracting #1: cost 28 inf + 0 534.985 * * [simplify]: Extracting #2: cost 142 inf + 1 534.987 * * [simplify]: Extracting #3: cost 256 inf + 176 534.991 * * [simplify]: Extracting #4: cost 257 inf + 553 534.993 * * [simplify]: Extracting #5: cost 222 inf + 4749 534.995 * * [simplify]: Extracting #6: cost 214 inf + 5446 534.998 * * [simplify]: Extracting #7: cost 144 inf + 23446 535.011 * * [simplify]: Extracting #8: cost 27 inf + 75825 535.045 * * [simplify]: Extracting #9: cost 0 inf + 100639 535.078 * * [simplify]: Extracting #10: cost 0 inf + 99987 535.097 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) 535.097 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 535.097 * * * * [progress]: [ 104 / 226 ] simplifiying candidate # 535.097 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) 535.097 * * [simplify]: iters left: 6 (12 enodes) 535.102 * * [simplify]: iters left: 5 (49 enodes) 535.114 * * [simplify]: iters left: 4 (75 enodes) 535.127 * * [simplify]: iters left: 3 (111 enodes) 535.145 * * [simplify]: iters left: 2 (170 enodes) 535.189 * * [simplify]: iters left: 1 (293 enodes) 535.309 * * [simplify]: Extracting #0: cost 1 inf + 0 535.309 * * [simplify]: Extracting #1: cost 29 inf + 0 535.309 * * [simplify]: Extracting #2: cost 99 inf + 1 535.310 * * [simplify]: Extracting #3: cost 127 inf + 217 535.312 * * [simplify]: Extracting #4: cost 127 inf + 430 535.313 * * [simplify]: Extracting #5: cost 126 inf + 473 535.314 * * [simplify]: Extracting #6: cost 120 inf + 845 535.319 * * [simplify]: Extracting #7: cost 83 inf + 10392 535.332 * * [simplify]: Extracting #8: cost 25 inf + 41709 535.357 * * [simplify]: Extracting #9: cost 2 inf + 63422 535.382 * * [simplify]: Extracting #10: cost 0 inf + 65616 535.407 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) 535.407 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) (/ (sqrt (/ (- 1 k) 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 535.407 * * * * [progress]: [ 105 / 226 ] simplifiying candidate # 535.408 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 535.408 * * [simplify]: iters left: 6 (15 enodes) 535.415 * * [simplify]: iters left: 5 (66 enodes) 535.427 * * [simplify]: iters left: 4 (132 enodes) 535.466 * * [simplify]: iters left: 3 (261 enodes) 535.584 * * [simplify]: Extracting #0: cost 1 inf + 0 535.584 * * [simplify]: Extracting #1: cost 11 inf + 0 535.584 * * [simplify]: Extracting #2: cost 98 inf + 0 535.585 * * [simplify]: Extracting #3: cost 179 inf + 256 535.585 * * [simplify]: Extracting #4: cost 179 inf + 749 535.588 * * [simplify]: Extracting #5: cost 120 inf + 14936 535.595 * * [simplify]: Extracting #6: cost 25 inf + 44518 535.609 * * [simplify]: Extracting #7: cost 5 inf + 52635 535.628 * * [simplify]: Extracting #8: cost 0 inf + 57235 535.651 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) 2))) 535.652 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 535.652 * * * * [progress]: [ 106 / 226 ] simplifiying candidate # 535.652 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 535.652 * * [simplify]: iters left: 6 (16 enodes) 535.661 * * [simplify]: iters left: 5 (67 enodes) 535.675 * * [simplify]: iters left: 4 (124 enodes) 535.698 * * [simplify]: iters left: 3 (245 enodes) 535.782 * * [simplify]: Extracting #0: cost 1 inf + 0 535.782 * * [simplify]: Extracting #1: cost 11 inf + 0 535.783 * * [simplify]: Extracting #2: cost 113 inf + 0 535.784 * * [simplify]: Extracting #3: cost 219 inf + 172 535.785 * * [simplify]: Extracting #4: cost 210 inf + 1275 535.789 * * [simplify]: Extracting #5: cost 163 inf + 12194 535.801 * * [simplify]: Extracting #6: cost 15 inf + 65842 535.813 * * [simplify]: Extracting #7: cost 0 inf + 72642 535.828 * * [simplify]: Extracting #8: cost 0 inf + 72483 535.855 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 535.855 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 535.855 * * * * [progress]: [ 107 / 226 ] simplifiying candidate # 535.856 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) 535.856 * * [simplify]: iters left: 6 (15 enodes) 535.864 * * [simplify]: iters left: 5 (64 enodes) 535.887 * * [simplify]: iters left: 4 (131 enodes) 535.911 * * [simplify]: iters left: 3 (239 enodes) 535.986 * * [simplify]: Extracting #0: cost 1 inf + 0 535.986 * * [simplify]: Extracting #1: cost 12 inf + 0 535.986 * * [simplify]: Extracting #2: cost 75 inf + 0 535.987 * * [simplify]: Extracting #3: cost 141 inf + 47 535.987 * * [simplify]: Extracting #4: cost 135 inf + 1554 535.988 * * [simplify]: Extracting #5: cost 128 inf + 2489 535.992 * * [simplify]: Extracting #6: cost 65 inf + 22138 536.007 * * [simplify]: Extracting #7: cost 2 inf + 49864 536.022 * * [simplify]: Extracting #8: cost 0 inf + 50287 536.037 * * [simplify]: Extracting #9: cost 0 inf + 50205 536.046 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 536.046 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 536.046 * * * * [progress]: [ 108 / 226 ] simplifiying candidate # 536.046 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 536.046 * * [simplify]: iters left: 6 (16 enodes) 536.051 * * [simplify]: iters left: 5 (65 enodes) 536.065 * * [simplify]: iters left: 4 (115 enodes) 536.096 * * [simplify]: iters left: 3 (240 enodes) 536.185 * * [simplify]: Extracting #0: cost 1 inf + 0 536.185 * * [simplify]: Extracting #1: cost 11 inf + 0 536.186 * * [simplify]: Extracting #2: cost 113 inf + 0 536.187 * * [simplify]: Extracting #3: cost 228 inf + 172 536.189 * * [simplify]: Extracting #4: cost 220 inf + 1834 536.194 * * [simplify]: Extracting #5: cost 166 inf + 12543 536.202 * * [simplify]: Extracting #6: cost 49 inf + 55076 536.214 * * [simplify]: Extracting #7: cost 1 inf + 75637 536.232 * * [simplify]: Extracting #8: cost 0 inf + 75195 536.259 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2))) 536.259 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 536.259 * * * * [progress]: [ 109 / 226 ] simplifiying candidate # 536.260 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) 536.260 * * [simplify]: iters left: 6 (14 enodes) 536.267 * * [simplify]: iters left: 5 (57 enodes) 536.285 * * [simplify]: iters left: 4 (89 enodes) 536.316 * * [simplify]: iters left: 3 (148 enodes) 536.369 * * [simplify]: iters left: 2 (319 enodes) 536.529 * * [simplify]: Extracting #0: cost 1 inf + 0 536.529 * * [simplify]: Extracting #1: cost 13 inf + 0 536.530 * * [simplify]: Extracting #2: cost 89 inf + 1 536.531 * * [simplify]: Extracting #3: cost 168 inf + 6 536.533 * * [simplify]: Extracting #4: cost 160 inf + 1073 536.537 * * [simplify]: Extracting #5: cost 112 inf + 11315 536.548 * * [simplify]: Extracting #6: cost 37 inf + 30043 536.556 * * [simplify]: Extracting #7: cost 7 inf + 47889 536.566 * * [simplify]: Extracting #8: cost 0 inf + 53475 536.576 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ 2 (cbrt (- 1 k))))) 536.576 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ 2 (cbrt (- 1 k))))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 536.577 * * * * [progress]: [ 110 / 226 ] simplifiying candidate # 536.577 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) 536.577 * * [simplify]: iters left: 6 (14 enodes) 536.581 * * [simplify]: iters left: 5 (55 enodes) 536.597 * * [simplify]: iters left: 4 (92 enodes) 536.614 * * [simplify]: iters left: 3 (161 enodes) 536.658 * * [simplify]: iters left: 2 (340 enodes) 536.875 * * [simplify]: Extracting #0: cost 1 inf + 0 536.875 * * [simplify]: Extracting #1: cost 12 inf + 0 536.876 * * [simplify]: Extracting #2: cost 81 inf + 1 536.877 * * [simplify]: Extracting #3: cost 159 inf + 7 536.878 * * [simplify]: Extracting #4: cost 151 inf + 1116 536.880 * * [simplify]: Extracting #5: cost 141 inf + 1937 536.883 * * [simplify]: Extracting #6: cost 121 inf + 5594 536.892 * * [simplify]: Extracting #7: cost 45 inf + 23808 536.913 * * [simplify]: Extracting #8: cost 6 inf + 47818 536.933 * * [simplify]: Extracting #9: cost 0 inf + 52841 536.953 * * [simplify]: Extracting #10: cost 0 inf + 52338 536.966 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) 536.966 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 536.966 * * * * [progress]: [ 111 / 226 ] simplifiying candidate # 536.967 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) 536.967 * * [simplify]: iters left: 6 (15 enodes) 536.971 * * [simplify]: iters left: 5 (60 enodes) 536.982 * * [simplify]: iters left: 4 (113 enodes) 537.017 * * [simplify]: iters left: 3 (218 enodes) 537.066 * * [simplify]: Extracting #0: cost 1 inf + 0 537.066 * * [simplify]: Extracting #1: cost 10 inf + 0 537.067 * * [simplify]: Extracting #2: cost 80 inf + 0 537.067 * * [simplify]: Extracting #3: cost 149 inf + 5 537.068 * * [simplify]: Extracting #4: cost 139 inf + 1268 537.068 * * [simplify]: Extracting #5: cost 118 inf + 4108 537.072 * * [simplify]: Extracting #6: cost 31 inf + 31012 537.079 * * [simplify]: Extracting #7: cost 0 inf + 44232 537.086 * * [simplify]: Extracting #8: cost 0 inf + 43914 537.096 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 537.096 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 537.097 * * * * [progress]: [ 112 / 226 ] simplifiying candidate # 537.097 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) 537.097 * * [simplify]: iters left: 6 (14 enodes) 537.105 * * [simplify]: iters left: 5 (55 enodes) 537.123 * * [simplify]: iters left: 4 (95 enodes) 537.145 * * [simplify]: iters left: 3 (163 enodes) 537.183 * * [simplify]: iters left: 2 (335 enodes) 537.414 * * [simplify]: Extracting #0: cost 1 inf + 0 537.414 * * [simplify]: Extracting #1: cost 13 inf + 0 537.414 * * [simplify]: Extracting #2: cost 89 inf + 1 537.415 * * [simplify]: Extracting #3: cost 164 inf + 7 537.417 * * [simplify]: Extracting #4: cost 150 inf + 1361 537.419 * * [simplify]: Extracting #5: cost 138 inf + 2953 537.423 * * [simplify]: Extracting #6: cost 54 inf + 25589 537.432 * * [simplify]: Extracting #7: cost 5 inf + 48782 537.443 * * [simplify]: Extracting #8: cost 0 inf + 52731 537.453 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ (sqrt 2) (cbrt (- 1 k))))) 537.454 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ (sqrt 2) (cbrt (- 1 k))))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 537.454 * * * * [progress]: [ 113 / 226 ] simplifiying candidate # 537.454 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) 537.454 * * [simplify]: iters left: 6 (13 enodes) 537.458 * * [simplify]: iters left: 5 (50 enodes) 537.467 * * [simplify]: iters left: 4 (92 enodes) 537.482 * * [simplify]: iters left: 3 (138 enodes) 537.516 * * [simplify]: iters left: 2 (270 enodes) 537.610 * * [simplify]: Extracting #0: cost 1 inf + 0 537.610 * * [simplify]: Extracting #1: cost 19 inf + 0 537.610 * * [simplify]: Extracting #2: cost 106 inf + 1 537.610 * * [simplify]: Extracting #3: cost 134 inf + 215 537.611 * * [simplify]: Extracting #4: cost 137 inf + 427 537.612 * * [simplify]: Extracting #5: cost 136 inf + 470 537.612 * * [simplify]: Extracting #6: cost 130 inf + 1041 537.614 * * [simplify]: Extracting #7: cost 94 inf + 9157 537.618 * * [simplify]: Extracting #8: cost 56 inf + 24782 537.626 * * [simplify]: Extracting #9: cost 4 inf + 58277 537.637 * * [simplify]: Extracting #10: cost 0 inf + 60382 537.648 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) 537.648 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (/ (cbrt (- 1 k)) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 537.649 * * * * [progress]: [ 114 / 226 ] simplifiying candidate # 537.649 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 537.649 * * [simplify]: iters left: 6 (14 enodes) 537.653 * * [simplify]: iters left: 5 (59 enodes) 537.669 * * [simplify]: iters left: 4 (100 enodes) 537.701 * * [simplify]: iters left: 3 (169 enodes) 537.769 * * [simplify]: iters left: 2 (357 enodes) 537.937 * * [simplify]: Extracting #0: cost 1 inf + 0 537.937 * * [simplify]: Extracting #1: cost 13 inf + 0 537.937 * * [simplify]: Extracting #2: cost 96 inf + 1 537.937 * * [simplify]: Extracting #3: cost 185 inf + 297 537.939 * * [simplify]: Extracting #4: cost 167 inf + 3341 537.941 * * [simplify]: Extracting #5: cost 97 inf + 17989 537.948 * * [simplify]: Extracting #6: cost 29 inf + 39102 537.964 * * [simplify]: Extracting #7: cost 4 inf + 58882 537.981 * * [simplify]: Extracting #8: cost 0 inf + 62078 537.992 * * [simplify]: Extracting #9: cost 0 inf + 61496 538.002 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) 538.002 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 538.002 * * * * [progress]: [ 115 / 226 ] simplifiying candidate # 538.002 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 538.002 * * [simplify]: iters left: 6 (15 enodes) 538.007 * * [simplify]: iters left: 5 (60 enodes) 538.016 * * [simplify]: iters left: 4 (96 enodes) 538.032 * * [simplify]: iters left: 3 (164 enodes) 538.076 * * [simplify]: iters left: 2 (355 enodes) 538.235 * * [simplify]: Extracting #0: cost 1 inf + 0 538.235 * * [simplify]: Extracting #1: cost 13 inf + 0 538.235 * * [simplify]: Extracting #2: cost 109 inf + 1 538.236 * * [simplify]: Extracting #3: cost 223 inf + 296 538.238 * * [simplify]: Extracting #4: cost 205 inf + 4016 538.241 * * [simplify]: Extracting #5: cost 134 inf + 18734 538.251 * * [simplify]: Extracting #6: cost 23 inf + 55288 538.265 * * [simplify]: Extracting #7: cost 1 inf + 75831 538.284 * * [simplify]: Extracting #8: cost 0 inf + 76118 538.301 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2))))) 538.301 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2))))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 538.301 * * * * [progress]: [ 116 / 226 ] simplifiying candidate # 538.301 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) 538.301 * * [simplify]: iters left: 6 (14 enodes) 538.309 * * [simplify]: iters left: 5 (55 enodes) 538.326 * * [simplify]: iters left: 4 (89 enodes) 538.343 * * [simplify]: iters left: 3 (150 enodes) 538.377 * * [simplify]: iters left: 2 (291 enodes) 538.508 * * [simplify]: Extracting #0: cost 1 inf + 0 538.508 * * [simplify]: Extracting #1: cost 12 inf + 0 538.509 * * [simplify]: Extracting #2: cost 83 inf + 1 538.510 * * [simplify]: Extracting #3: cost 149 inf + 88 538.512 * * [simplify]: Extracting #4: cost 122 inf + 4381 538.514 * * [simplify]: Extracting #5: cost 110 inf + 5521 538.519 * * [simplify]: Extracting #6: cost 76 inf + 12618 538.525 * * [simplify]: Extracting #7: cost 17 inf + 36794 538.533 * * [simplify]: Extracting #8: cost 0 inf + 52398 538.542 * * [simplify]: Extracting #9: cost 0 inf + 52279 538.556 * * [simplify]: Extracting #10: cost 0 inf + 52239 538.566 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 538.566 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 538.566 * * * * [progress]: [ 117 / 226 ] simplifiying candidate # 538.567 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 538.567 * * [simplify]: iters left: 6 (15 enodes) 538.571 * * [simplify]: iters left: 5 (60 enodes) 538.581 * * [simplify]: iters left: 4 (98 enodes) 538.607 * * [simplify]: iters left: 3 (170 enodes) 538.667 * * [simplify]: iters left: 2 (380 enodes) 538.839 * * [simplify]: Extracting #0: cost 1 inf + 0 538.839 * * [simplify]: Extracting #1: cost 13 inf + 0 538.839 * * [simplify]: Extracting #2: cost 115 inf + 1 538.840 * * [simplify]: Extracting #3: cost 237 inf + 256 538.841 * * [simplify]: Extracting #4: cost 224 inf + 3055 538.846 * * [simplify]: Extracting #5: cost 124 inf + 29028 538.861 * * [simplify]: Extracting #6: cost 29 inf + 59577 538.891 * * [simplify]: Extracting #7: cost 1 inf + 82271 538.922 * * [simplify]: Extracting #8: cost 0 inf + 82483 538.954 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 538.955 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 538.955 * * * * [progress]: [ 118 / 226 ] simplifiying candidate # 538.955 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) 538.955 * * [simplify]: iters left: 6 (13 enodes) 538.962 * * [simplify]: iters left: 5 (52 enodes) 538.979 * * [simplify]: iters left: 4 (76 enodes) 539.003 * * [simplify]: iters left: 3 (117 enodes) 539.044 * * [simplify]: iters left: 2 (212 enodes) 539.114 * * [simplify]: iters left: 1 (407 enodes) 539.361 * * [simplify]: Extracting #0: cost 1 inf + 0 539.361 * * [simplify]: Extracting #1: cost 28 inf + 0 539.361 * * [simplify]: Extracting #2: cost 152 inf + 1 539.362 * * [simplify]: Extracting #3: cost 271 inf + 217 539.364 * * [simplify]: Extracting #4: cost 241 inf + 3724 539.367 * * [simplify]: Extracting #5: cost 196 inf + 10784 539.376 * * [simplify]: Extracting #6: cost 70 inf + 41091 539.400 * * [simplify]: Extracting #7: cost 14 inf + 81043 539.434 * * [simplify]: Extracting #8: cost 0 inf + 93786 539.467 * * [simplify]: Extracting #9: cost 0 inf + 93705 539.489 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) 2)) 539.489 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) 2)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 539.489 * * * * [progress]: [ 119 / 226 ] simplifiying candidate # 539.489 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) 539.489 * * [simplify]: iters left: 6 (13 enodes) 539.493 * * [simplify]: iters left: 5 (50 enodes) 539.502 * * [simplify]: iters left: 4 (77 enodes) 539.521 * * [simplify]: iters left: 3 (124 enodes) 539.562 * * [simplify]: iters left: 2 (218 enodes) 539.657 * * [simplify]: iters left: 1 (451 enodes) 539.975 * * [simplify]: Extracting #0: cost 1 inf + 0 539.975 * * [simplify]: Extracting #1: cost 35 inf + 0 539.976 * * [simplify]: Extracting #2: cost 164 inf + 1 539.978 * * [simplify]: Extracting #3: cost 271 inf + 220 539.981 * * [simplify]: Extracting #4: cost 260 inf + 1897 539.986 * * [simplify]: Extracting #5: cost 212 inf + 7038 539.999 * * [simplify]: Extracting #6: cost 119 inf + 24014 540.023 * * [simplify]: Extracting #7: cost 52 inf + 51357 540.060 * * [simplify]: Extracting #8: cost 3 inf + 100895 540.100 * * [simplify]: Extracting #9: cost 0 inf + 104547 540.142 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 540.142 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 540.143 * * * * [progress]: [ 120 / 226 ] simplifiying candidate # 540.143 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) 540.143 * * [simplify]: iters left: 6 (14 enodes) 540.151 * * [simplify]: iters left: 5 (55 enodes) 540.168 * * [simplify]: iters left: 4 (87 enodes) 540.183 * * [simplify]: iters left: 3 (147 enodes) 540.219 * * [simplify]: iters left: 2 (289 enodes) 540.355 * * [simplify]: Extracting #0: cost 1 inf + 0 540.355 * * [simplify]: Extracting #1: cost 12 inf + 0 540.355 * * [simplify]: Extracting #2: cost 80 inf + 1 540.356 * * [simplify]: Extracting #3: cost 147 inf + 7 540.357 * * [simplify]: Extracting #4: cost 123 inf + 3777 540.358 * * [simplify]: Extracting #5: cost 107 inf + 5846 540.362 * * [simplify]: Extracting #6: cost 70 inf + 14368 540.375 * * [simplify]: Extracting #7: cost 10 inf + 41178 540.392 * * [simplify]: Extracting #8: cost 0 inf + 49216 540.406 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) 540.406 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 540.406 * * * * [progress]: [ 121 / 226 ] simplifiying candidate # 540.407 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) 540.407 * * [simplify]: iters left: 6 (13 enodes) 540.411 * * [simplify]: iters left: 5 (50 enodes) 540.419 * * [simplify]: iters left: 4 (76 enodes) 540.434 * * [simplify]: iters left: 3 (124 enodes) 540.474 * * [simplify]: iters left: 2 (221 enodes) 540.572 * * [simplify]: iters left: 1 (459 enodes) 541.046 * * [simplify]: Extracting #0: cost 1 inf + 0 541.046 * * [simplify]: Extracting #1: cost 36 inf + 0 541.047 * * [simplify]: Extracting #2: cost 174 inf + 1 541.049 * * [simplify]: Extracting #3: cost 292 inf + 220 541.052 * * [simplify]: Extracting #4: cost 287 inf + 1086 541.058 * * [simplify]: Extracting #5: cost 202 inf + 13689 541.081 * * [simplify]: Extracting #6: cost 78 inf + 53621 541.120 * * [simplify]: Extracting #7: cost 6 inf + 103249 541.148 * * [simplify]: Extracting #8: cost 0 inf + 107262 541.174 * * [simplify]: Extracting #9: cost 0 inf + 107261 541.196 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 541.196 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 541.196 * * * * [progress]: [ 122 / 226 ] simplifiying candidate # 541.196 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) 541.196 * * [simplify]: iters left: 6 (12 enodes) 541.200 * * [simplify]: iters left: 5 (45 enodes) 541.208 * * [simplify]: iters left: 4 (77 enodes) 541.223 * * [simplify]: iters left: 3 (113 enodes) 541.261 * * [simplify]: iters left: 2 (224 enodes) 541.370 * * [simplify]: Extracting #0: cost 1 inf + 0 541.371 * * [simplify]: Extracting #1: cost 21 inf + 0 541.371 * * [simplify]: Extracting #2: cost 106 inf + 1 541.372 * * [simplify]: Extracting #3: cost 124 inf + 173 541.373 * * [simplify]: Extracting #4: cost 121 inf + 551 541.375 * * [simplify]: Extracting #5: cost 90 inf + 8323 541.383 * * [simplify]: Extracting #6: cost 37 inf + 28906 541.396 * * [simplify]: Extracting #7: cost 2 inf + 48879 541.412 * * [simplify]: Extracting #8: cost 0 inf + 50442 541.427 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (- 1 k))) 541.427 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (sqrt (- 1 k))) (/ (/ (sqrt (- 1 k)) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 541.428 * * * * [progress]: [ 123 / 226 ] simplifiying candidate # 541.428 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 541.428 * * [simplify]: iters left: 6 (11 enodes) 541.435 * * [simplify]: iters left: 5 (48 enodes) 541.450 * * [simplify]: iters left: 4 (86 enodes) 541.480 * * [simplify]: iters left: 3 (155 enodes) 541.556 * * [simplify]: iters left: 2 (300 enodes) 541.783 * * [simplify]: Extracting #0: cost 1 inf + 0 541.783 * * [simplify]: Extracting #1: cost 13 inf + 0 541.783 * * [simplify]: Extracting #2: cost 91 inf + 0 541.784 * * [simplify]: Extracting #3: cost 184 inf + 8 541.787 * * [simplify]: Extracting #4: cost 142 inf + 6775 541.795 * * [simplify]: Extracting #5: cost 28 inf + 31749 541.808 * * [simplify]: Extracting #6: cost 7 inf + 42461 541.823 * * [simplify]: Extracting #7: cost 0 inf + 48584 541.837 * * [simplify]: Extracting #8: cost 0 inf + 48171 541.851 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1/2 (cbrt 2))) 541.852 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1/2 (cbrt 2))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 541.852 * * * * [progress]: [ 124 / 226 ] simplifiying candidate # 541.852 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 541.852 * * [simplify]: iters left: 6 (12 enodes) 541.863 * * [simplify]: iters left: 5 (49 enodes) 541.880 * * [simplify]: iters left: 4 (82 enodes) 541.903 * * [simplify]: iters left: 3 (152 enodes) 541.938 * * [simplify]: iters left: 2 (314 enodes) 542.053 * * [simplify]: Extracting #0: cost 1 inf + 0 542.053 * * [simplify]: Extracting #1: cost 12 inf + 0 542.053 * * [simplify]: Extracting #2: cost 95 inf + 1 542.054 * * [simplify]: Extracting #3: cost 173 inf + 739 542.057 * * [simplify]: Extracting #4: cost 82 inf + 21246 542.064 * * [simplify]: Extracting #5: cost 17 inf + 41542 542.073 * * [simplify]: Extracting #6: cost 0 inf + 57328 542.082 * * [simplify]: Extracting #7: cost 0 inf + 55491 542.095 * * [simplify]: Extracting #8: cost 0 inf + 54978 542.104 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 542.104 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 542.104 * * * * [progress]: [ 125 / 226 ] simplifiying candidate # 542.105 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) 542.105 * * [simplify]: iters left: 6 (11 enodes) 542.109 * * [simplify]: iters left: 5 (44 enodes) 542.117 * * [simplify]: iters left: 4 (75 enodes) 542.141 * * [simplify]: iters left: 3 (135 enodes) 542.182 * * [simplify]: iters left: 2 (257 enodes) 542.294 * * [simplify]: Extracting #0: cost 1 inf + 0 542.294 * * [simplify]: Extracting #1: cost 12 inf + 0 542.294 * * [simplify]: Extracting #2: cost 67 inf + 1 542.295 * * [simplify]: Extracting #3: cost 114 inf + 7 542.295 * * [simplify]: Extracting #4: cost 104 inf + 911 542.297 * * [simplify]: Extracting #5: cost 42 inf + 14168 542.302 * * [simplify]: Extracting #6: cost 5 inf + 30729 542.307 * * [simplify]: Extracting #7: cost 0 inf + 35035 542.313 * * [simplify]: Extracting #8: cost 0 inf + 34742 542.321 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 542.322 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 542.322 * * * * [progress]: [ 126 / 226 ] simplifiying candidate # 542.322 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 542.322 * * [simplify]: iters left: 6 (12 enodes) 542.326 * * [simplify]: iters left: 5 (49 enodes) 542.342 * * [simplify]: iters left: 4 (84 enodes) 542.366 * * [simplify]: iters left: 3 (157 enodes) 542.406 * * [simplify]: iters left: 2 (349 enodes) 543.005 * * [simplify]: Extracting #0: cost 1 inf + 0 543.005 * * [simplify]: Extracting #1: cost 13 inf + 0 543.005 * * [simplify]: Extracting #2: cost 104 inf + 1 543.007 * * [simplify]: Extracting #3: cost 208 inf + 742 543.014 * * [simplify]: Extracting #4: cost 99 inf + 23626 543.032 * * [simplify]: Extracting #5: cost 10 inf + 51587 543.044 * * [simplify]: Extracting #6: cost 0 inf + 59406 543.055 * * [simplify]: Extracting #7: cost 0 inf + 59204 543.066 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 543.066 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 543.066 * * * * [progress]: [ 127 / 226 ] simplifiying candidate # 543.066 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) 543.066 * * [simplify]: iters left: 6 (10 enodes) 543.072 * * [simplify]: iters left: 5 (41 enodes) 543.085 * * [simplify]: iters left: 4 (63 enodes) 543.113 * * [simplify]: iters left: 3 (106 enodes) 543.152 * * [simplify]: iters left: 2 (170 enodes) 543.208 * * [simplify]: iters left: 1 (274 enodes) 543.312 * * [simplify]: Extracting #0: cost 1 inf + 0 543.312 * * [simplify]: Extracting #1: cost 34 inf + 0 543.313 * * [simplify]: Extracting #2: cost 96 inf + 2 543.314 * * [simplify]: Extracting #3: cost 83 inf + 2529 543.319 * * [simplify]: Extracting #4: cost 46 inf + 22891 543.324 * * [simplify]: Extracting #5: cost 2 inf + 52042 543.332 * * [simplify]: Extracting #6: cost 0 inf + 52881 543.338 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 543.338 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (sqrt (* (* PI 2) n)) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 543.338 * * * * [progress]: [ 128 / 226 ] simplifiying candidate # 543.338 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) 543.338 * * [simplify]: iters left: 6 (10 enodes) 543.341 * * [simplify]: iters left: 5 (39 enodes) 543.350 * * [simplify]: iters left: 4 (63 enodes) 543.372 * * [simplify]: iters left: 3 (109 enodes) 543.409 * * [simplify]: iters left: 2 (194 enodes) 543.477 * * [simplify]: iters left: 1 (379 enodes) 543.664 * * [simplify]: Extracting #0: cost 1 inf + 0 543.665 * * [simplify]: Extracting #1: cost 36 inf + 0 543.665 * * [simplify]: Extracting #2: cost 115 inf + 1 543.666 * * [simplify]: Extracting #3: cost 130 inf + 921 543.668 * * [simplify]: Extracting #4: cost 84 inf + 12198 543.672 * * [simplify]: Extracting #5: cost 46 inf + 29266 543.681 * * [simplify]: Extracting #6: cost 6 inf + 65568 543.692 * * [simplify]: Extracting #7: cost 0 inf + 70626 543.703 * * [simplify]: Extracting #8: cost 0 inf + 69382 543.713 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 543.714 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 543.714 * * * * [progress]: [ 129 / 226 ] simplifiying candidate # 543.714 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) 543.714 * * [simplify]: iters left: 6 (11 enodes) 543.721 * * [simplify]: iters left: 5 (42 enodes) 543.728 * * [simplify]: iters left: 4 (67 enodes) 543.739 * * [simplify]: iters left: 3 (113 enodes) 543.778 * * [simplify]: iters left: 2 (227 enodes) 543.857 * * [simplify]: iters left: 1 (460 enodes) 544.197 * * [simplify]: Extracting #0: cost 1 inf + 0 544.197 * * [simplify]: Extracting #1: cost 27 inf + 0 544.197 * * [simplify]: Extracting #2: cost 128 inf + 1 544.199 * * [simplify]: Extracting #3: cost 230 inf + 336 544.204 * * [simplify]: Extracting #4: cost 174 inf + 9113 544.217 * * [simplify]: Extracting #5: cost 47 inf + 41174 544.239 * * [simplify]: Extracting #6: cost 8 inf + 76412 544.266 * * [simplify]: Extracting #7: cost 0 inf + 84921 544.293 * * [simplify]: Extracting #8: cost 0 inf + 84670 544.320 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 544.320 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 544.320 * * * * [progress]: [ 130 / 226 ] simplifiying candidate # 544.321 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) 544.321 * * [simplify]: iters left: 5 (10 enodes) 544.326 * * [simplify]: iters left: 4 (37 enodes) 544.339 * * [simplify]: iters left: 3 (58 enodes) 544.362 * * [simplify]: iters left: 2 (98 enodes) 544.396 * * [simplify]: iters left: 1 (170 enodes) 544.467 * * [simplify]: Extracting #0: cost 1 inf + 0 544.467 * * [simplify]: Extracting #1: cost 12 inf + 0 544.467 * * [simplify]: Extracting #2: cost 51 inf + 1 544.468 * * [simplify]: Extracting #3: cost 75 inf + 6 544.469 * * [simplify]: Extracting #4: cost 65 inf + 882 544.471 * * [simplify]: Extracting #5: cost 36 inf + 4827 544.475 * * [simplify]: Extracting #6: cost 11 inf + 14483 544.482 * * [simplify]: Extracting #7: cost 0 inf + 23347 544.491 * * [simplify]: Extracting #8: cost 0 inf + 23054 544.498 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 544.498 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 544.498 * * * * [progress]: [ 131 / 226 ] simplifiying candidate # 544.499 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) 544.499 * * [simplify]: iters left: 5 (9 enodes) 544.505 * * [simplify]: iters left: 4 (35 enodes) 544.520 * * [simplify]: iters left: 3 (65 enodes) 544.543 * * [simplify]: iters left: 2 (106 enodes) 544.568 * * [simplify]: iters left: 1 (178 enodes) 544.623 * * [simplify]: Extracting #0: cost 1 inf + 0 544.624 * * [simplify]: Extracting #1: cost 18 inf + 0 544.624 * * [simplify]: Extracting #2: cost 35 inf + 46 544.624 * * [simplify]: Extracting #3: cost 27 inf + 930 544.626 * * [simplify]: Extracting #4: cost 12 inf + 6845 544.629 * * [simplify]: Extracting #5: cost 1 inf + 11470 544.632 * * [simplify]: Extracting #6: cost 0 inf + 11764 544.635 * [simplify]: Simplified to (* (* PI 2) n) 544.635 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 544.635 * * * * [progress]: [ 132 / 226 ] simplifiying candidate # 544.635 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 544.636 * * [simplify]: iters left: 6 (15 enodes) 544.645 * * [simplify]: iters left: 5 (61 enodes) 544.663 * * [simplify]: iters left: 4 (99 enodes) 544.695 * * [simplify]: iters left: 3 (167 enodes) 544.769 * * [simplify]: iters left: 2 (356 enodes) 544.938 * * [simplify]: Extracting #0: cost 1 inf + 0 544.938 * * [simplify]: Extracting #1: cost 13 inf + 0 544.939 * * [simplify]: Extracting #2: cost 91 inf + 1 544.940 * * [simplify]: Extracting #3: cost 175 inf + 7 544.942 * * [simplify]: Extracting #4: cost 146 inf + 4586 544.945 * * [simplify]: Extracting #5: cost 96 inf + 14610 544.955 * * [simplify]: Extracting #6: cost 20 inf + 40771 544.965 * * [simplify]: Extracting #7: cost 0 inf + 54762 544.975 * * [simplify]: Extracting #8: cost 0 inf + 53677 544.985 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) 2))) 544.985 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 544.985 * * * * [progress]: [ 133 / 226 ] simplifiying candidate # 544.986 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 544.986 * * [simplify]: iters left: 6 (16 enodes) 544.992 * * [simplify]: iters left: 5 (62 enodes) 545.002 * * [simplify]: iters left: 4 (95 enodes) 545.018 * * [simplify]: iters left: 3 (164 enodes) 545.067 * * [simplify]: iters left: 2 (364 enodes) 545.245 * * [simplify]: Extracting #0: cost 1 inf + 0 545.245 * * [simplify]: Extracting #1: cost 13 inf + 0 545.246 * * [simplify]: Extracting #2: cost 115 inf + 1 545.247 * * [simplify]: Extracting #3: cost 236 inf + 173 545.249 * * [simplify]: Extracting #4: cost 228 inf + 1884 545.253 * * [simplify]: Extracting #5: cost 179 inf + 10238 545.256 * * [simplify]: Extracting #6: cost 165 inf + 12821 545.260 * * [simplify]: Extracting #7: cost 132 inf + 21075 545.269 * * [simplify]: Extracting #8: cost 42 inf + 49595 545.284 * * [simplify]: Extracting #9: cost 3 inf + 81906 545.314 * * [simplify]: Extracting #10: cost 0 inf + 84551 545.333 * * [simplify]: Extracting #11: cost 0 inf + 83947 545.349 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 545.349 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 545.349 * * * * [progress]: [ 134 / 226 ] simplifiying candidate # 545.349 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) 545.349 * * [simplify]: iters left: 6 (15 enodes) 545.358 * * [simplify]: iters left: 5 (57 enodes) 545.376 * * [simplify]: iters left: 4 (88 enodes) 545.396 * * [simplify]: iters left: 3 (149 enodes) 545.433 * * [simplify]: iters left: 2 (292 enodes) 545.602 * * [simplify]: Extracting #0: cost 1 inf + 0 545.602 * * [simplify]: Extracting #1: cost 12 inf + 0 545.602 * * [simplify]: Extracting #2: cost 86 inf + 1 545.603 * * [simplify]: Extracting #3: cost 156 inf + 7 545.605 * * [simplify]: Extracting #4: cost 131 inf + 3852 545.608 * * [simplify]: Extracting #5: cost 113 inf + 5924 545.614 * * [simplify]: Extracting #6: cost 60 inf + 20104 545.629 * * [simplify]: Extracting #7: cost 3 inf + 49816 545.647 * * [simplify]: Extracting #8: cost 0 inf + 53155 545.667 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 545.667 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 545.668 * * * * [progress]: [ 135 / 226 ] simplifiying candidate # 545.668 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 545.668 * * [simplify]: iters left: 6 (16 enodes) 545.678 * * [simplify]: iters left: 5 (62 enodes) 545.698 * * [simplify]: iters left: 4 (97 enodes) 545.725 * * [simplify]: iters left: 3 (168 enodes) 545.763 * * [simplify]: iters left: 2 (386 enodes) 545.929 * * [simplify]: Extracting #0: cost 1 inf + 0 545.930 * * [simplify]: Extracting #1: cost 13 inf + 0 545.930 * * [simplify]: Extracting #2: cost 113 inf + 1 545.931 * * [simplify]: Extracting #3: cost 237 inf + 215 545.932 * * [simplify]: Extracting #4: cost 227 inf + 2605 545.935 * * [simplify]: Extracting #5: cost 134 inf + 21160 545.945 * * [simplify]: Extracting #6: cost 41 inf + 48778 545.959 * * [simplify]: Extracting #7: cost 2 inf + 78943 545.974 * * [simplify]: Extracting #8: cost 0 inf + 80027 545.989 * * [simplify]: Extracting #9: cost 0 inf + 79947 546.006 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 546.006 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 546.006 * * * * [progress]: [ 136 / 226 ] simplifiying candidate # 546.006 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) 546.006 * * [simplify]: iters left: 6 (14 enodes) 546.011 * * [simplify]: iters left: 5 (54 enodes) 546.024 * * [simplify]: iters left: 4 (75 enodes) 546.047 * * [simplify]: iters left: 3 (117 enodes) 546.086 * * [simplify]: iters left: 2 (212 enodes) 546.150 * * [simplify]: iters left: 1 (419 enodes) 546.472 * * [simplify]: Extracting #0: cost 1 inf + 0 546.472 * * [simplify]: Extracting #1: cost 24 inf + 0 546.473 * * [simplify]: Extracting #2: cost 143 inf + 1 546.475 * * [simplify]: Extracting #3: cost 285 inf + 218 546.478 * * [simplify]: Extracting #4: cost 274 inf + 1777 546.484 * * [simplify]: Extracting #5: cost 195 inf + 15674 546.498 * * [simplify]: Extracting #6: cost 51 inf + 55677 546.513 * * [simplify]: Extracting #7: cost 0 inf + 87999 546.533 * * [simplify]: Extracting #8: cost 0 inf + 87875 546.556 * * [simplify]: Extracting #9: cost 0 inf + 87795 546.582 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) 546.582 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 546.582 * * * * [progress]: [ 137 / 226 ] simplifiying candidate # 546.582 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) 546.582 * * [simplify]: iters left: 6 (14 enodes) 546.587 * * [simplify]: iters left: 5 (52 enodes) 546.595 * * [simplify]: iters left: 4 (76 enodes) 546.609 * * [simplify]: iters left: 3 (122 enodes) 546.651 * * [simplify]: iters left: 2 (225 enodes) 546.710 * * [simplify]: iters left: 1 (479 enodes) 547.069 * * [simplify]: Extracting #0: cost 1 inf + 0 547.069 * * [simplify]: Extracting #1: cost 33 inf + 0 547.069 * * [simplify]: Extracting #2: cost 170 inf + 1 547.071 * * [simplify]: Extracting #3: cost 294 inf + 261 547.072 * * [simplify]: Extracting #4: cost 292 inf + 718 547.075 * * [simplify]: Extracting #5: cost 221 inf + 8866 547.084 * * [simplify]: Extracting #6: cost 104 inf + 40876 547.108 * * [simplify]: Extracting #7: cost 11 inf + 95165 547.153 * * [simplify]: Extracting #8: cost 0 inf + 99249 547.208 * * [simplify]: Extracting #9: cost 0 inf + 98876 547.264 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 547.264 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 547.264 * * * * [progress]: [ 138 / 226 ] simplifiying candidate # 547.264 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) 547.265 * * [simplify]: iters left: 6 (15 enodes) 547.274 * * [simplify]: iters left: 5 (57 enodes) 547.292 * * [simplify]: iters left: 4 (86 enodes) 547.323 * * [simplify]: iters left: 3 (147 enodes) 547.375 * * [simplify]: iters left: 2 (292 enodes) 547.516 * * [simplify]: Extracting #0: cost 1 inf + 0 547.516 * * [simplify]: Extracting #1: cost 12 inf + 0 547.516 * * [simplify]: Extracting #2: cost 90 inf + 1 547.517 * * [simplify]: Extracting #3: cost 166 inf + 49 547.518 * * [simplify]: Extracting #4: cost 143 inf + 3451 547.519 * * [simplify]: Extracting #5: cost 125 inf + 5842 547.522 * * [simplify]: Extracting #6: cost 78 inf + 16547 547.528 * * [simplify]: Extracting #7: cost 13 inf + 41600 547.540 * * [simplify]: Extracting #8: cost 0 inf + 53676 547.550 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 547.550 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 547.550 * * * * [progress]: [ 139 / 226 ] simplifiying candidate # 547.550 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) 547.550 * * [simplify]: iters left: 6 (14 enodes) 547.554 * * [simplify]: iters left: 5 (52 enodes) 547.563 * * [simplify]: iters left: 4 (75 enodes) 547.582 * * [simplify]: iters left: 3 (122 enodes) 547.603 * * [simplify]: iters left: 2 (225 enodes) 547.679 * * [simplify]: iters left: 1 (462 enodes) 548.073 * * [simplify]: Extracting #0: cost 1 inf + 0 548.073 * * [simplify]: Extracting #1: cost 34 inf + 0 548.073 * * [simplify]: Extracting #2: cost 173 inf + 1 548.074 * * [simplify]: Extracting #3: cost 296 inf + 261 548.076 * * [simplify]: Extracting #4: cost 296 inf + 554 548.078 * * [simplify]: Extracting #5: cost 239 inf + 6626 548.084 * * [simplify]: Extracting #6: cost 141 inf + 31818 548.105 * * [simplify]: Extracting #7: cost 21 inf + 88283 548.156 * * [simplify]: Extracting #8: cost 0 inf + 100973 548.186 * * [simplify]: Extracting #9: cost 0 inf + 100139 548.222 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 548.222 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 548.222 * * * * [progress]: [ 140 / 226 ] simplifiying candidate # 548.222 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) 548.223 * * [simplify]: iters left: 6 (13 enodes) 548.231 * * [simplify]: iters left: 5 (47 enodes) 548.246 * * [simplify]: iters left: 4 (76 enodes) 548.266 * * [simplify]: iters left: 3 (109 enodes) 548.289 * * [simplify]: iters left: 2 (202 enodes) 548.349 * * [simplify]: Extracting #0: cost 1 inf + 0 548.350 * * [simplify]: Extracting #1: cost 16 inf + 0 548.350 * * [simplify]: Extracting #2: cost 69 inf + 1 548.350 * * [simplify]: Extracting #3: cost 88 inf + 6 548.350 * * [simplify]: Extracting #4: cost 80 inf + 508 548.355 * * [simplify]: Extracting #5: cost 31 inf + 16921 548.359 * * [simplify]: Extracting #6: cost 3 inf + 28307 548.364 * * [simplify]: Extracting #7: cost 0 inf + 29875 548.370 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 548.370 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 548.370 * * * * [progress]: [ 141 / 226 ] simplifiying candidate # 548.371 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 548.371 * * [simplify]: iters left: 6 (14 enodes) 548.378 * * [simplify]: iters left: 5 (58 enodes) 548.397 * * [simplify]: iters left: 4 (96 enodes) 548.428 * * [simplify]: iters left: 3 (166 enodes) 548.489 * * [simplify]: iters left: 2 (362 enodes) 548.649 * * [simplify]: Extracting #0: cost 1 inf + 0 548.649 * * [simplify]: Extracting #1: cost 13 inf + 0 548.650 * * [simplify]: Extracting #2: cost 92 inf + 1 548.651 * * [simplify]: Extracting #3: cost 177 inf + 255 548.653 * * [simplify]: Extracting #4: cost 167 inf + 1844 548.656 * * [simplify]: Extracting #5: cost 98 inf + 14855 548.663 * * [simplify]: Extracting #6: cost 21 inf + 39586 548.671 * * [simplify]: Extracting #7: cost 1 inf + 55513 548.681 * * [simplify]: Extracting #8: cost 0 inf + 55425 548.698 * * [simplify]: Extracting #9: cost 0 inf + 55295 548.717 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* 2 (cbrt 2)))) 548.717 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* 2 (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 548.717 * * * * [progress]: [ 142 / 226 ] simplifiying candidate # 548.718 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 548.718 * * [simplify]: iters left: 6 (15 enodes) 548.726 * * [simplify]: iters left: 5 (59 enodes) 548.745 * * [simplify]: iters left: 4 (92 enodes) 548.775 * * [simplify]: iters left: 3 (160 enodes) 548.811 * * [simplify]: iters left: 2 (360 enodes) 548.999 * * [simplify]: Extracting #0: cost 1 inf + 0 548.999 * * [simplify]: Extracting #1: cost 12 inf + 0 549.000 * * [simplify]: Extracting #2: cost 112 inf + 1 549.001 * * [simplify]: Extracting #3: cost 232 inf + 296 549.002 * * [simplify]: Extracting #4: cost 215 inf + 3899 549.006 * * [simplify]: Extracting #5: cost 130 inf + 22742 549.017 * * [simplify]: Extracting #6: cost 25 inf + 61396 549.034 * * [simplify]: Extracting #7: cost 3 inf + 77920 549.055 * * [simplify]: Extracting #8: cost 0 inf + 80934 549.070 * * [simplify]: Extracting #9: cost 0 inf + 80776 549.086 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (cbrt 2)) (cbrt 2))) 549.087 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 549.087 * * * * [progress]: [ 143 / 226 ] simplifiying candidate # 549.087 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) 549.087 * * [simplify]: iters left: 6 (14 enodes) 549.095 * * [simplify]: iters left: 5 (54 enodes) 549.112 * * [simplify]: iters left: 4 (85 enodes) 549.127 * * [simplify]: iters left: 3 (146 enodes) 549.169 * * [simplify]: iters left: 2 (293 enodes) 549.286 * * [simplify]: Extracting #0: cost 1 inf + 0 549.286 * * [simplify]: Extracting #1: cost 13 inf + 0 549.286 * * [simplify]: Extracting #2: cost 87 inf + 1 549.286 * * [simplify]: Extracting #3: cost 159 inf + 7 549.287 * * [simplify]: Extracting #4: cost 159 inf + 342 549.288 * * [simplify]: Extracting #5: cost 125 inf + 4714 549.291 * * [simplify]: Extracting #6: cost 70 inf + 21838 549.305 * * [simplify]: Extracting #7: cost 4 inf + 51228 549.323 * * [simplify]: Extracting #8: cost 0 inf + 53025 549.339 * * [simplify]: Extracting #9: cost 0 inf + 52866 549.354 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 549.354 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 549.354 * * * * [progress]: [ 144 / 226 ] simplifiying candidate # 549.355 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 549.355 * * [simplify]: iters left: 6 (15 enodes) 549.362 * * [simplify]: iters left: 5 (59 enodes) 549.376 * * [simplify]: iters left: 4 (94 enodes) 549.392 * * [simplify]: iters left: 3 (165 enodes) 549.442 * * [simplify]: iters left: 2 (386 enodes) 549.617 * * [simplify]: Extracting #0: cost 1 inf + 0 549.617 * * [simplify]: Extracting #1: cost 12 inf + 0 549.617 * * [simplify]: Extracting #2: cost 114 inf + 1 549.618 * * [simplify]: Extracting #3: cost 241 inf + 256 549.620 * * [simplify]: Extracting #4: cost 228 inf + 2854 549.623 * * [simplify]: Extracting #5: cost 143 inf + 20307 549.634 * * [simplify]: Extracting #6: cost 30 inf + 56481 549.658 * * [simplify]: Extracting #7: cost 2 inf + 81372 549.688 * * [simplify]: Extracting #8: cost 0 inf + 82369 549.705 * * [simplify]: Extracting #9: cost 0 inf + 82092 549.728 * * [simplify]: Extracting #10: cost 0 inf + 81973 549.758 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 549.758 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 549.758 * * * * [progress]: [ 145 / 226 ] simplifiying candidate # 549.759 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) 549.759 * * [simplify]: iters left: 6 (13 enodes) 549.766 * * [simplify]: iters left: 5 (51 enodes) 549.783 * * [simplify]: iters left: 4 (72 enodes) 549.804 * * [simplify]: iters left: 3 (113 enodes) 549.825 * * [simplify]: iters left: 2 (208 enodes) 549.876 * * [simplify]: iters left: 1 (409 enodes) 550.142 * * [simplify]: Extracting #0: cost 1 inf + 0 550.142 * * [simplify]: Extracting #1: cost 27 inf + 0 550.143 * * [simplify]: Extracting #2: cost 154 inf + 1 550.145 * * [simplify]: Extracting #3: cost 265 inf + 300 550.147 * * [simplify]: Extracting #4: cost 246 inf + 2467 550.153 * * [simplify]: Extracting #5: cost 171 inf + 15398 550.172 * * [simplify]: Extracting #6: cost 62 inf + 52476 550.207 * * [simplify]: Extracting #7: cost 0 inf + 96761 550.229 * * [simplify]: Extracting #8: cost 0 inf + 93628 550.245 * * [simplify]: Extracting #9: cost 0 inf + 93247 550.271 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) 550.271 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 550.271 * * * * [progress]: [ 146 / 226 ] simplifiying candidate # 550.271 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) 550.272 * * [simplify]: iters left: 6 (13 enodes) 550.278 * * [simplify]: iters left: 5 (49 enodes) 550.293 * * [simplify]: iters left: 4 (73 enodes) 550.321 * * [simplify]: iters left: 3 (120 enodes) 550.360 * * [simplify]: iters left: 2 (220 enodes) 550.432 * * [simplify]: iters left: 1 (476 enodes) 550.844 * * [simplify]: Extracting #0: cost 1 inf + 0 550.844 * * [simplify]: Extracting #1: cost 36 inf + 0 550.845 * * [simplify]: Extracting #2: cost 164 inf + 1 550.846 * * [simplify]: Extracting #3: cost 291 inf + 342 550.850 * * [simplify]: Extracting #4: cost 250 inf + 5239 550.855 * * [simplify]: Extracting #5: cost 230 inf + 7360 550.872 * * [simplify]: Extracting #6: cost 158 inf + 23161 550.901 * * [simplify]: Extracting #7: cost 42 inf + 66985 550.944 * * [simplify]: Extracting #8: cost 2 inf + 102559 550.989 * * [simplify]: Extracting #9: cost 0 inf + 104663 551.036 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 551.036 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 551.037 * * * * [progress]: [ 147 / 226 ] simplifiying candidate # 551.037 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) 551.037 * * [simplify]: iters left: 6 (14 enodes) 551.045 * * [simplify]: iters left: 5 (54 enodes) 551.062 * * [simplify]: iters left: 4 (83 enodes) 551.089 * * [simplify]: iters left: 3 (144 enodes) 551.128 * * [simplify]: iters left: 2 (289 enodes) 551.279 * * [simplify]: Extracting #0: cost 1 inf + 0 551.279 * * [simplify]: Extracting #1: cost 13 inf + 0 551.280 * * [simplify]: Extracting #2: cost 87 inf + 1 551.280 * * [simplify]: Extracting #3: cost 159 inf + 7 551.281 * * [simplify]: Extracting #4: cost 135 inf + 3858 551.282 * * [simplify]: Extracting #5: cost 117 inf + 6206 551.284 * * [simplify]: Extracting #6: cost 101 inf + 9087 551.289 * * [simplify]: Extracting #7: cost 30 inf + 32311 551.298 * * [simplify]: Extracting #8: cost 3 inf + 48134 551.314 * * [simplify]: Extracting #9: cost 0 inf + 50271 551.335 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 551.335 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 551.335 * * * * [progress]: [ 148 / 226 ] simplifiying candidate # 551.335 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) 551.336 * * [simplify]: iters left: 6 (13 enodes) 551.342 * * [simplify]: iters left: 5 (49 enodes) 551.353 * * [simplify]: iters left: 4 (72 enodes) 551.366 * * [simplify]: iters left: 3 (120 enodes) 551.390 * * [simplify]: iters left: 2 (223 enodes) 551.465 * * [simplify]: iters left: 1 (482 enodes) 551.787 * * [simplify]: Extracting #0: cost 1 inf + 0 551.787 * * [simplify]: Extracting #1: cost 34 inf + 0 551.788 * * [simplify]: Extracting #2: cost 167 inf + 1 551.790 * * [simplify]: Extracting #3: cost 285 inf + 178 551.793 * * [simplify]: Extracting #4: cost 278 inf + 1455 551.798 * * [simplify]: Extracting #5: cost 220 inf + 7646 551.806 * * [simplify]: Extracting #6: cost 98 inf + 39049 551.824 * * [simplify]: Extracting #7: cost 25 inf + 73659 551.862 * * [simplify]: Extracting #8: cost 4 inf + 89360 551.895 * * [simplify]: Extracting #9: cost 0 inf + 92615 551.921 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 551.921 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 551.922 * * * * [progress]: [ 149 / 226 ] simplifiying candidate # 551.922 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) 551.922 * * [simplify]: iters left: 6 (12 enodes) 551.925 * * [simplify]: iters left: 5 (44 enodes) 551.939 * * [simplify]: iters left: 4 (73 enodes) 551.960 * * [simplify]: iters left: 3 (110 enodes) 551.993 * * [simplify]: iters left: 2 (215 enodes) 552.076 * * [simplify]: Extracting #0: cost 1 inf + 0 552.076 * * [simplify]: Extracting #1: cost 17 inf + 0 552.076 * * [simplify]: Extracting #2: cost 77 inf + 1 552.076 * * [simplify]: Extracting #3: cost 99 inf + 6 552.077 * * [simplify]: Extracting #4: cost 94 inf + 425 552.078 * * [simplify]: Extracting #5: cost 54 inf + 9620 552.082 * * [simplify]: Extracting #6: cost 13 inf + 29073 552.088 * * [simplify]: Extracting #7: cost 0 inf + 36658 552.098 * * [simplify]: Extracting #8: cost 0 inf + 36318 552.110 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 552.110 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (/ (- 1 (sqrt k)) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 552.110 * * * * [progress]: [ 150 / 226 ] simplifiying candidate # 552.111 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 552.111 * * [simplify]: iters left: 6 (11 enodes) 552.122 * * [simplify]: iters left: 5 (48 enodes) 552.137 * * [simplify]: iters left: 4 (86 enodes) 552.160 * * [simplify]: iters left: 3 (155 enodes) 552.198 * * [simplify]: iters left: 2 (300 enodes) 552.411 * * [simplify]: Extracting #0: cost 1 inf + 0 552.411 * * [simplify]: Extracting #1: cost 13 inf + 0 552.412 * * [simplify]: Extracting #2: cost 91 inf + 0 552.412 * * [simplify]: Extracting #3: cost 184 inf + 8 552.414 * * [simplify]: Extracting #4: cost 142 inf + 6775 552.418 * * [simplify]: Extracting #5: cost 28 inf + 31749 552.426 * * [simplify]: Extracting #6: cost 7 inf + 42461 552.440 * * [simplify]: Extracting #7: cost 0 inf + 48584 552.454 * * [simplify]: Extracting #8: cost 0 inf + 48171 552.469 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1/2 (cbrt 2))) 552.469 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1/2 (cbrt 2))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 552.469 * * * * [progress]: [ 151 / 226 ] simplifiying candidate # 552.470 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 552.470 * * [simplify]: iters left: 6 (12 enodes) 552.477 * * [simplify]: iters left: 5 (49 enodes) 552.494 * * [simplify]: iters left: 4 (82 enodes) 552.513 * * [simplify]: iters left: 3 (152 enodes) 552.557 * * [simplify]: iters left: 2 (314 enodes) 552.698 * * [simplify]: Extracting #0: cost 1 inf + 0 552.698 * * [simplify]: Extracting #1: cost 12 inf + 0 552.699 * * [simplify]: Extracting #2: cost 95 inf + 1 552.699 * * [simplify]: Extracting #3: cost 173 inf + 739 552.703 * * [simplify]: Extracting #4: cost 82 inf + 21246 552.710 * * [simplify]: Extracting #5: cost 17 inf + 41542 552.722 * * [simplify]: Extracting #6: cost 0 inf + 57328 552.731 * * [simplify]: Extracting #7: cost 0 inf + 55491 552.740 * * [simplify]: Extracting #8: cost 0 inf + 54978 552.749 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 552.749 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 552.749 * * * * [progress]: [ 152 / 226 ] simplifiying candidate # 552.749 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) 552.750 * * [simplify]: iters left: 6 (11 enodes) 552.755 * * [simplify]: iters left: 5 (44 enodes) 552.771 * * [simplify]: iters left: 4 (75 enodes) 552.797 * * [simplify]: iters left: 3 (135 enodes) 552.850 * * [simplify]: iters left: 2 (257 enodes) 552.956 * * [simplify]: Extracting #0: cost 1 inf + 0 552.956 * * [simplify]: Extracting #1: cost 12 inf + 0 552.957 * * [simplify]: Extracting #2: cost 67 inf + 1 552.957 * * [simplify]: Extracting #3: cost 114 inf + 7 552.958 * * [simplify]: Extracting #4: cost 104 inf + 911 552.960 * * [simplify]: Extracting #5: cost 42 inf + 14168 552.964 * * [simplify]: Extracting #6: cost 5 inf + 30729 552.969 * * [simplify]: Extracting #7: cost 0 inf + 35035 552.975 * * [simplify]: Extracting #8: cost 0 inf + 34742 552.980 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 552.980 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 552.981 * * * * [progress]: [ 153 / 226 ] simplifiying candidate # 552.981 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 552.981 * * [simplify]: iters left: 6 (12 enodes) 552.985 * * [simplify]: iters left: 5 (49 enodes) 553.001 * * [simplify]: iters left: 4 (84 enodes) 553.024 * * [simplify]: iters left: 3 (157 enodes) 553.061 * * [simplify]: iters left: 2 (349 enodes) 553.268 * * [simplify]: Extracting #0: cost 1 inf + 0 553.268 * * [simplify]: Extracting #1: cost 13 inf + 0 553.269 * * [simplify]: Extracting #2: cost 104 inf + 1 553.270 * * [simplify]: Extracting #3: cost 208 inf + 742 553.278 * * [simplify]: Extracting #4: cost 99 inf + 23626 553.293 * * [simplify]: Extracting #5: cost 10 inf + 51587 553.307 * * [simplify]: Extracting #6: cost 0 inf + 59406 553.318 * * [simplify]: Extracting #7: cost 0 inf + 59204 553.329 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 553.329 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 553.329 * * * * [progress]: [ 154 / 226 ] simplifiying candidate # 553.329 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) 553.329 * * [simplify]: iters left: 6 (10 enodes) 553.333 * * [simplify]: iters left: 5 (41 enodes) 553.340 * * [simplify]: iters left: 4 (63 enodes) 553.362 * * [simplify]: iters left: 3 (106 enodes) 553.393 * * [simplify]: iters left: 2 (170 enodes) 553.426 * * [simplify]: iters left: 1 (274 enodes) 553.534 * * [simplify]: Extracting #0: cost 1 inf + 0 553.534 * * [simplify]: Extracting #1: cost 34 inf + 0 553.534 * * [simplify]: Extracting #2: cost 96 inf + 2 553.535 * * [simplify]: Extracting #3: cost 83 inf + 2529 553.537 * * [simplify]: Extracting #4: cost 46 inf + 22891 553.542 * * [simplify]: Extracting #5: cost 2 inf + 52042 553.553 * * [simplify]: Extracting #6: cost 0 inf + 52881 553.564 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 553.564 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (sqrt (* (* PI 2) n)) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 553.564 * * * * [progress]: [ 155 / 226 ] simplifiying candidate # 553.565 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) 553.565 * * [simplify]: iters left: 6 (10 enodes) 553.571 * * [simplify]: iters left: 5 (39 enodes) 553.584 * * [simplify]: iters left: 4 (63 enodes) 553.605 * * [simplify]: iters left: 3 (109 enodes) 553.647 * * [simplify]: iters left: 2 (194 enodes) 553.725 * * [simplify]: iters left: 1 (379 enodes) 553.909 * * [simplify]: Extracting #0: cost 1 inf + 0 553.909 * * [simplify]: Extracting #1: cost 36 inf + 0 553.910 * * [simplify]: Extracting #2: cost 115 inf + 1 553.912 * * [simplify]: Extracting #3: cost 130 inf + 921 553.919 * * [simplify]: Extracting #4: cost 84 inf + 12198 553.924 * * [simplify]: Extracting #5: cost 46 inf + 29266 553.932 * * [simplify]: Extracting #6: cost 6 inf + 65568 553.943 * * [simplify]: Extracting #7: cost 0 inf + 70626 553.960 * * [simplify]: Extracting #8: cost 0 inf + 69382 553.981 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 553.981 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 553.982 * * * * [progress]: [ 156 / 226 ] simplifiying candidate # 553.982 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) 553.982 * * [simplify]: iters left: 6 (11 enodes) 553.989 * * [simplify]: iters left: 5 (42 enodes) 554.002 * * [simplify]: iters left: 4 (67 enodes) 554.024 * * [simplify]: iters left: 3 (113 enodes) 554.068 * * [simplify]: iters left: 2 (227 enodes) 554.165 * * [simplify]: iters left: 1 (460 enodes) 554.450 * * [simplify]: Extracting #0: cost 1 inf + 0 554.450 * * [simplify]: Extracting #1: cost 27 inf + 0 554.450 * * [simplify]: Extracting #2: cost 128 inf + 1 554.451 * * [simplify]: Extracting #3: cost 230 inf + 336 554.453 * * [simplify]: Extracting #4: cost 174 inf + 9113 554.460 * * [simplify]: Extracting #5: cost 47 inf + 41174 554.471 * * [simplify]: Extracting #6: cost 8 inf + 76412 554.490 * * [simplify]: Extracting #7: cost 0 inf + 84921 554.503 * * [simplify]: Extracting #8: cost 0 inf + 84670 554.525 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 554.525 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 554.525 * * * * [progress]: [ 157 / 226 ] simplifiying candidate # 554.525 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) 554.525 * * [simplify]: iters left: 5 (10 enodes) 554.528 * * [simplify]: iters left: 4 (37 enodes) 554.535 * * [simplify]: iters left: 3 (58 enodes) 554.545 * * [simplify]: iters left: 2 (98 enodes) 554.569 * * [simplify]: iters left: 1 (170 enodes) 554.613 * * [simplify]: Extracting #0: cost 1 inf + 0 554.613 * * [simplify]: Extracting #1: cost 12 inf + 0 554.613 * * [simplify]: Extracting #2: cost 51 inf + 1 554.614 * * [simplify]: Extracting #3: cost 75 inf + 6 554.614 * * [simplify]: Extracting #4: cost 65 inf + 882 554.616 * * [simplify]: Extracting #5: cost 36 inf + 4827 554.621 * * [simplify]: Extracting #6: cost 11 inf + 14483 554.627 * * [simplify]: Extracting #7: cost 0 inf + 23347 554.634 * * [simplify]: Extracting #8: cost 0 inf + 23054 554.641 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 554.641 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 554.642 * * * * [progress]: [ 158 / 226 ] simplifiying candidate # 554.642 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) 554.642 * * [simplify]: iters left: 5 (9 enodes) 554.648 * * [simplify]: iters left: 4 (35 enodes) 554.661 * * [simplify]: iters left: 3 (65 enodes) 554.684 * * [simplify]: iters left: 2 (106 enodes) 554.724 * * [simplify]: iters left: 1 (178 enodes) 554.787 * * [simplify]: Extracting #0: cost 1 inf + 0 554.788 * * [simplify]: Extracting #1: cost 18 inf + 0 554.788 * * [simplify]: Extracting #2: cost 35 inf + 46 554.788 * * [simplify]: Extracting #3: cost 27 inf + 930 554.789 * * [simplify]: Extracting #4: cost 12 inf + 6845 554.790 * * [simplify]: Extracting #5: cost 1 inf + 11470 554.791 * * [simplify]: Extracting #6: cost 0 inf + 11764 554.793 * [simplify]: Simplified to (* (* PI 2) n) 554.793 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 554.793 * * * * [progress]: [ 159 / 226 ] simplifiying candidate # 554.793 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 554.793 * * [simplify]: iters left: 6 (10 enodes) 554.797 * * [simplify]: iters left: 5 (41 enodes) 554.804 * * [simplify]: iters left: 4 (66 enodes) 554.821 * * [simplify]: iters left: 3 (116 enodes) 554.862 * * [simplify]: iters left: 2 (219 enodes) 554.950 * * [simplify]: Extracting #0: cost 1 inf + 0 554.950 * * [simplify]: Extracting #1: cost 12 inf + 0 554.950 * * [simplify]: Extracting #2: cost 69 inf + 1 554.951 * * [simplify]: Extracting #3: cost 115 inf + 6 554.952 * * [simplify]: Extracting #4: cost 104 inf + 1247 554.955 * * [simplify]: Extracting #5: cost 56 inf + 11061 554.965 * * [simplify]: Extracting #6: cost 4 inf + 34062 554.977 * * [simplify]: Extracting #7: cost 0 inf + 35882 554.988 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 554.988 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 554.988 * * * * [progress]: [ 160 / 226 ] simplifiying candidate # 554.989 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 554.989 * * [simplify]: iters left: 5 (9 enodes) 554.994 * * [simplify]: iters left: 4 (36 enodes) 555.006 * * [simplify]: iters left: 3 (57 enodes) 555.026 * * [simplify]: iters left: 2 (96 enodes) 555.065 * * [simplify]: iters left: 1 (171 enodes) 555.129 * * [simplify]: Extracting #0: cost 1 inf + 0 555.129 * * [simplify]: Extracting #1: cost 12 inf + 0 555.129 * * [simplify]: Extracting #2: cost 50 inf + 1 555.129 * * [simplify]: Extracting #3: cost 75 inf + 6 555.130 * * [simplify]: Extracting #4: cost 59 inf + 1253 555.131 * * [simplify]: Extracting #5: cost 25 inf + 8058 555.134 * * [simplify]: Extracting #6: cost 3 inf + 20149 555.137 * * [simplify]: Extracting #7: cost 0 inf + 22178 555.141 * * [simplify]: Extracting #8: cost 0 inf + 22007 555.144 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 555.144 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 555.144 * * * * [progress]: [ 161 / 226 ] simplifiying candidate # 555.145 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 555.145 * * [simplify]: iters left: 5 (8 enodes) 555.149 * * [simplify]: iters left: 4 (34 enodes) 555.163 * * [simplify]: iters left: 3 (64 enodes) 555.180 * * [simplify]: iters left: 2 (105 enodes) 555.200 * * [simplify]: iters left: 1 (177 enodes) 555.262 * * [simplify]: Extracting #0: cost 1 inf + 0 555.262 * * [simplify]: Extracting #1: cost 17 inf + 0 555.262 * * [simplify]: Extracting #2: cost 34 inf + 46 555.263 * * [simplify]: Extracting #3: cost 26 inf + 466 555.264 * * [simplify]: Extracting #4: cost 11 inf + 6543 555.267 * * [simplify]: Extracting #5: cost 1 inf + 10885 555.268 * * [simplify]: Extracting #6: cost 0 inf + 11179 555.269 * [simplify]: Simplified to (* (* PI 2) n) 555.270 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 555.270 * * * * [progress]: [ 162 / 226 ] simplifiying candidate # 555.270 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) 555.270 * * [simplify]: iters left: 6 (12 enodes) 555.274 * * [simplify]: iters left: 5 (52 enodes) 555.286 * * [simplify]: iters left: 4 (94 enodes) 555.312 * * [simplify]: iters left: 3 (169 enodes) 555.357 * * [simplify]: iters left: 2 (354 enodes) 555.469 * * [simplify]: Extracting #0: cost 1 inf + 0 555.469 * * [simplify]: Extracting #1: cost 13 inf + 0 555.469 * * [simplify]: Extracting #2: cost 82 inf + 1 555.469 * * [simplify]: Extracting #3: cost 177 inf + 6 555.470 * * [simplify]: Extracting #4: cost 208 inf + 584 555.472 * * [simplify]: Extracting #5: cost 129 inf + 13160 555.478 * * [simplify]: Extracting #6: cost 25 inf + 41603 555.494 * * [simplify]: Extracting #7: cost 0 inf + 57759 555.506 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) 555.506 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 555.506 * * * * [progress]: [ 163 / 226 ] simplifiying candidate # 555.506 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) 555.506 * * [simplify]: iters left: 5 (11 enodes) 555.510 * * [simplify]: iters left: 4 (47 enodes) 555.518 * * [simplify]: iters left: 3 (80 enodes) 555.543 * * [simplify]: iters left: 2 (135 enodes) 555.568 * * [simplify]: iters left: 1 (261 enodes) 555.652 * * [simplify]: Extracting #0: cost 1 inf + 0 555.652 * * [simplify]: Extracting #1: cost 13 inf + 0 555.652 * * [simplify]: Extracting #2: cost 65 inf + 1 555.653 * * [simplify]: Extracting #3: cost 126 inf + 6 555.654 * * [simplify]: Extracting #4: cost 140 inf + 468 555.659 * * [simplify]: Extracting #5: cost 56 inf + 19218 555.669 * * [simplify]: Extracting #6: cost 2 inf + 36380 555.678 * * [simplify]: Extracting #7: cost 0 inf + 36703 555.684 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2))) 555.684 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 555.684 * * * * [progress]: [ 164 / 226 ] simplifiying candidate # 555.685 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 555.685 * * [simplify]: iters left: 5 (10 enodes) 555.688 * * [simplify]: iters left: 4 (42 enodes) 555.696 * * [simplify]: iters left: 3 (74 enodes) 555.707 * * [simplify]: iters left: 2 (111 enodes) 555.739 * * [simplify]: iters left: 1 (185 enodes) 555.795 * * [simplify]: Extracting #0: cost 1 inf + 0 555.795 * * [simplify]: Extracting #1: cost 13 inf + 0 555.795 * * [simplify]: Extracting #2: cost 62 inf + 1 555.795 * * [simplify]: Extracting #3: cost 86 inf + 214 555.796 * * [simplify]: Extracting #4: cost 63 inf + 2998 555.797 * * [simplify]: Extracting #5: cost 28 inf + 9933 555.801 * * [simplify]: Extracting #6: cost 1 inf + 26904 555.804 * * [simplify]: Extracting #7: cost 0 inf + 26783 555.808 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1 k)) 555.808 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (- 1 k)) (/ (/ 1 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 555.808 * * * * [progress]: [ 165 / 226 ] simplifiying candidate # 555.808 * [simplify]: Simplifying (pow (* n (* 2 PI)) 1) 555.809 * * [simplify]: iters left: 5 (7 enodes) 555.811 * * [simplify]: iters left: 4 (30 enodes) 555.824 * * [simplify]: iters left: 3 (58 enodes) 555.843 * * [simplify]: iters left: 2 (99 enodes) 555.862 * * [simplify]: iters left: 1 (171 enodes) 555.901 * * [simplify]: Extracting #0: cost 1 inf + 0 555.901 * * [simplify]: Extracting #1: cost 18 inf + 0 555.901 * * [simplify]: Extracting #2: cost 35 inf + 46 555.901 * * [simplify]: Extracting #3: cost 25 inf + 1347 555.902 * * [simplify]: Extracting #4: cost 14 inf + 5442 555.904 * * [simplify]: Extracting #5: cost 7 inf + 7909 555.905 * * [simplify]: Extracting #6: cost 0 inf + 11764 555.907 * [simplify]: Simplified to (* (* PI 2) n) 555.907 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 555.907 * * * * [progress]: [ 166 / 226 ] simplifiying candidate # 555.907 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 555.907 * * [simplify]: iters left: 5 (10 enodes) 555.910 * * [simplify]: iters left: 4 (45 enodes) 555.925 * * [simplify]: iters left: 3 (78 enodes) 555.943 * * [simplify]: iters left: 2 (120 enodes) 555.969 * * [simplify]: iters left: 1 (205 enodes) 556.045 * * [simplify]: Extracting #0: cost 1 inf + 0 556.045 * * [simplify]: Extracting #1: cost 13 inf + 0 556.045 * * [simplify]: Extracting #2: cost 64 inf + 1 556.046 * * [simplify]: Extracting #3: cost 99 inf + 49 556.046 * * [simplify]: Extracting #4: cost 97 inf + 806 556.049 * * [simplify]: Extracting #5: cost 58 inf + 4778 556.054 * * [simplify]: Extracting #6: cost 15 inf + 17624 556.062 * * [simplify]: Extracting #7: cost 1 inf + 26643 556.066 * * [simplify]: Extracting #8: cost 0 inf + 26968 556.070 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 556.070 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 556.070 * * * * [progress]: [ 167 / 226 ] simplifiying candidate # 556.071 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 556.071 * * [simplify]: iters left: 6 (8 enodes) 556.074 * * [simplify]: iters left: 5 (38 enodes) 556.081 * * [simplify]: iters left: 4 (66 enodes) 556.096 * * [simplify]: iters left: 3 (112 enodes) 556.130 * * [simplify]: iters left: 2 (214 enodes) 556.194 * * [simplify]: iters left: 1 (443 enodes) 556.414 * * [simplify]: Extracting #0: cost 1 inf + 0 556.414 * * [simplify]: Extracting #1: cost 29 inf + 0 556.415 * * [simplify]: Extracting #2: cost 107 inf + 2 556.416 * * [simplify]: Extracting #3: cost 174 inf + 10 556.420 * * [simplify]: Extracting #4: cost 141 inf + 8754 556.435 * * [simplify]: Extracting #5: cost 26 inf + 42278 556.454 * * [simplify]: Extracting #6: cost 0 inf + 54975 556.466 * * [simplify]: Extracting #7: cost 0 inf + 54600 556.478 * [simplify]: Simplified to (pow n (/ (- 1 k) 4)) 556.478 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 556.478 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 556.478 * * [simplify]: iters left: 6 (9 enodes) 556.482 * * [simplify]: iters left: 5 (42 enodes) 556.491 * * [simplify]: iters left: 4 (70 enodes) 556.515 * * [simplify]: iters left: 3 (120 enodes) 556.542 * * [simplify]: iters left: 2 (236 enodes) 556.628 * * [simplify]: iters left: 1 (440 enodes) 556.874 * * [simplify]: Extracting #0: cost 1 inf + 0 556.874 * * [simplify]: Extracting #1: cost 27 inf + 0 556.875 * * [simplify]: Extracting #2: cost 107 inf + 1 556.877 * * [simplify]: Extracting #3: cost 183 inf + 94 556.879 * * [simplify]: Extracting #4: cost 179 inf + 1136 556.886 * * [simplify]: Extracting #5: cost 79 inf + 19053 556.902 * * [simplify]: Extracting #6: cost 12 inf + 53872 556.922 * * [simplify]: Extracting #7: cost 0 inf + 59705 556.941 * * [simplify]: Extracting #8: cost 0 inf + 58278 556.960 * * [simplify]: Extracting #9: cost 0 inf + 58107 556.973 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 556.973 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 556.973 * * * * [progress]: [ 168 / 226 ] simplifiying candidate # 556.974 * * * * [progress]: [ 169 / 226 ] simplifiying candidate # 556.974 * [simplify]: Simplifying (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 556.974 * * [simplify]: iters left: 6 (12 enodes) 556.978 * * [simplify]: iters left: 5 (56 enodes) 556.989 * * [simplify]: iters left: 4 (108 enodes) 557.022 * * [simplify]: iters left: 3 (245 enodes) 557.088 * * [simplify]: Extracting #0: cost 1 inf + 0 557.088 * * [simplify]: Extracting #1: cost 52 inf + 0 557.089 * * [simplify]: Extracting #2: cost 136 inf + 3 557.089 * * [simplify]: Extracting #3: cost 209 inf + 605 557.091 * * [simplify]: Extracting #4: cost 142 inf + 11860 557.097 * * [simplify]: Extracting #5: cost 21 inf + 38875 557.104 * * [simplify]: Extracting #6: cost 0 inf + 43211 557.117 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (log (* (* PI 2) n)))) 557.117 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (/ (- 1 k) (/ 4 (log (* (* PI 2) n))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 557.117 * * * * [progress]: [ 170 / 226 ] simplifiying candidate # 557.118 * [simplify]: Simplifying (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 557.118 * * [simplify]: iters left: 6 (12 enodes) 557.124 * * [simplify]: iters left: 5 (54 enodes) 557.134 * * [simplify]: iters left: 4 (92 enodes) 557.150 * * [simplify]: iters left: 3 (154 enodes) 557.206 * * [simplify]: iters left: 2 (300 enodes) 557.284 * * [simplify]: Extracting #0: cost 1 inf + 0 557.284 * * [simplify]: Extracting #1: cost 18 inf + 0 557.284 * * [simplify]: Extracting #2: cost 66 inf + 0 557.284 * * [simplify]: Extracting #3: cost 143 inf + 3 557.285 * * [simplify]: Extracting #4: cost 161 inf + 181 557.285 * * [simplify]: Extracting #5: cost 158 inf + 765 557.287 * * [simplify]: Extracting #6: cost 91 inf + 9833 557.293 * * [simplify]: Extracting #7: cost 33 inf + 36755 557.305 * * [simplify]: Extracting #8: cost 4 inf + 54853 557.314 * * [simplify]: Extracting #9: cost 1 inf + 55514 557.322 * * [simplify]: Extracting #10: cost 0 inf + 56129 557.332 * [simplify]: Simplified to (exp (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) 557.332 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (log (exp (pow (* (* PI 2) n) (- 1/4 (/ k 4))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 557.332 * * * * [progress]: [ 171 / 226 ] simplifiying candidate # 557.333 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 557.333 * * [simplify]: iters left: 6 (13 enodes) 557.341 * * [simplify]: iters left: 5 (57 enodes) 557.357 * * [simplify]: iters left: 4 (93 enodes) 557.375 * * [simplify]: iters left: 3 (149 enodes) 557.413 * * [simplify]: iters left: 2 (272 enodes) 557.481 * * [simplify]: iters left: 1 (483 enodes) 557.748 * * [simplify]: Extracting #0: cost 1 inf + 0 557.748 * * [simplify]: Extracting #1: cost 3 inf + 0 557.748 * * [simplify]: Extracting #2: cost 5 inf + 0 557.748 * * [simplify]: Extracting #3: cost 34 inf + 0 557.749 * * [simplify]: Extracting #4: cost 128 inf + 1 557.751 * * [simplify]: Extracting #5: cost 206 inf + 220 557.754 * * [simplify]: Extracting #6: cost 183 inf + 5478 557.769 * * [simplify]: Extracting #7: cost 81 inf + 25492 557.791 * * [simplify]: Extracting #8: cost 11 inf + 61924 557.819 * * [simplify]: Extracting #9: cost 0 inf + 73035 557.846 * * [simplify]: Extracting #10: cost 0 inf + 72755 557.873 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k))))) 557.873 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (* (* (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k))))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 557.874 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 557.874 * * [simplify]: iters left: 6 (12 enodes) 557.881 * * [simplify]: iters left: 5 (54 enodes) 557.893 * * [simplify]: iters left: 4 (90 enodes) 557.912 * * [simplify]: iters left: 3 (149 enodes) 557.944 * * [simplify]: iters left: 2 (273 enodes) 558.017 * * [simplify]: iters left: 1 (479 enodes) 558.229 * * [simplify]: Extracting #0: cost 1 inf + 0 558.229 * * [simplify]: Extracting #1: cost 3 inf + 0 558.229 * * [simplify]: Extracting #2: cost 30 inf + 0 558.230 * * [simplify]: Extracting #3: cost 125 inf + 1 558.230 * * [simplify]: Extracting #4: cost 210 inf + 179 558.232 * * [simplify]: Extracting #5: cost 199 inf + 1517 558.236 * * [simplify]: Extracting #6: cost 78 inf + 19210 558.245 * * [simplify]: Extracting #7: cost 25 inf + 43900 558.275 * * [simplify]: Extracting #8: cost 0 inf + 63226 558.290 * * [simplify]: Extracting #9: cost 0 inf + 62588 558.306 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) 558.306 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 558.306 * * * * [progress]: [ 172 / 226 ] simplifiying candidate # 558.307 * [simplify]: Simplifying (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 558.307 * * [simplify]: iters left: 6 (13 enodes) 558.315 * * [simplify]: iters left: 5 (60 enodes) 558.335 * * [simplify]: iters left: 4 (118 enodes) 558.385 * * [simplify]: iters left: 3 (255 enodes) 558.460 * * [simplify]: Extracting #0: cost 1 inf + 0 558.461 * * [simplify]: Extracting #1: cost 19 inf + 0 558.461 * * [simplify]: Extracting #2: cost 66 inf + 1 558.462 * * [simplify]: Extracting #3: cost 113 inf + 3 558.462 * * [simplify]: Extracting #4: cost 121 inf + 181 558.463 * * [simplify]: Extracting #5: cost 118 inf + 600 558.467 * * [simplify]: Extracting #6: cost 62 inf + 13591 558.476 * * [simplify]: Extracting #7: cost 17 inf + 34061 558.489 * * [simplify]: Extracting #8: cost 0 inf + 45821 558.504 * [simplify]: Simplified to (* (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8))))) 558.504 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (cbrt (* (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8)))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 558.505 * * * * [progress]: [ 173 / 226 ] simplifiying candidate # 558.505 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 558.505 * * [simplify]: iters left: 6 (12 enodes) 558.513 * * [simplify]: iters left: 5 (54 enodes) 558.530 * * [simplify]: iters left: 4 (91 enodes) 558.555 * * [simplify]: iters left: 3 (147 enodes) 558.585 * * [simplify]: iters left: 2 (263 enodes) 558.668 * * [simplify]: iters left: 1 (481 enodes) 558.822 * * [simplify]: Extracting #0: cost 1 inf + 0 558.822 * * [simplify]: Extracting #1: cost 4 inf + 0 558.822 * * [simplify]: Extracting #2: cost 35 inf + 0 558.822 * * [simplify]: Extracting #3: cost 125 inf + 1 558.823 * * [simplify]: Extracting #4: cost 192 inf + 179 558.824 * * [simplify]: Extracting #5: cost 180 inf + 1552 558.827 * * [simplify]: Extracting #6: cost 91 inf + 13668 558.843 * * [simplify]: Extracting #7: cost 23 inf + 50304 558.854 * * [simplify]: Extracting #8: cost 0 inf + 70176 558.866 * * [simplify]: Extracting #9: cost 0 inf + 68107 558.880 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) 558.880 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 558.880 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 558.880 * * [simplify]: iters left: 6 (12 enodes) 558.888 * * [simplify]: iters left: 5 (54 enodes) 558.906 * * [simplify]: iters left: 4 (91 enodes) 558.922 * * [simplify]: iters left: 3 (147 enodes) 558.966 * * [simplify]: iters left: 2 (263 enodes) 559.062 * * [simplify]: iters left: 1 (481 enodes) 559.280 * * [simplify]: Extracting #0: cost 1 inf + 0 559.280 * * [simplify]: Extracting #1: cost 4 inf + 0 559.280 * * [simplify]: Extracting #2: cost 35 inf + 0 559.281 * * [simplify]: Extracting #3: cost 125 inf + 1 559.282 * * [simplify]: Extracting #4: cost 192 inf + 179 559.284 * * [simplify]: Extracting #5: cost 180 inf + 1552 559.290 * * [simplify]: Extracting #6: cost 91 inf + 13668 559.306 * * [simplify]: Extracting #7: cost 23 inf + 50304 559.327 * * [simplify]: Extracting #8: cost 0 inf + 70176 559.350 * * [simplify]: Extracting #9: cost 0 inf + 68107 559.367 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) 559.367 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 559.367 * * * * [progress]: [ 174 / 226 ] simplifiying candidate # 559.367 * * * * [progress]: [ 175 / 226 ] simplifiying candidate # 559.367 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 559.367 * * [simplify]: iters left: 6 (12 enodes) 559.371 * * [simplify]: iters left: 5 (55 enodes) 559.382 * * [simplify]: iters left: 4 (97 enodes) 559.408 * * [simplify]: iters left: 3 (161 enodes) 559.465 * * [simplify]: iters left: 2 (302 enodes) 559.545 * * [simplify]: Extracting #0: cost 1 inf + 0 559.545 * * [simplify]: Extracting #1: cost 14 inf + 0 559.545 * * [simplify]: Extracting #2: cost 72 inf + 1 559.546 * * [simplify]: Extracting #3: cost 125 inf + 10 559.547 * * [simplify]: Extracting #4: cost 118 inf + 767 559.550 * * [simplify]: Extracting #5: cost 55 inf + 8389 559.554 * * [simplify]: Extracting #6: cost 15 inf + 19807 559.558 * * [simplify]: Extracting #7: cost 2 inf + 30022 559.563 * * [simplify]: Extracting #8: cost 0 inf + 31356 559.568 * * [simplify]: Extracting #9: cost 0 inf + 31315 559.576 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 8)) 559.576 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 559.577 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 559.577 * * [simplify]: iters left: 6 (12 enodes) 559.581 * * [simplify]: iters left: 5 (55 enodes) 559.597 * * [simplify]: iters left: 4 (97 enodes) 559.613 * * [simplify]: iters left: 3 (161 enodes) 559.651 * * [simplify]: iters left: 2 (302 enodes) 559.737 * * [simplify]: Extracting #0: cost 1 inf + 0 559.737 * * [simplify]: Extracting #1: cost 14 inf + 0 559.737 * * [simplify]: Extracting #2: cost 72 inf + 1 559.737 * * [simplify]: Extracting #3: cost 125 inf + 10 559.738 * * [simplify]: Extracting #4: cost 118 inf + 767 559.740 * * [simplify]: Extracting #5: cost 55 inf + 8389 559.743 * * [simplify]: Extracting #6: cost 15 inf + 19807 559.748 * * [simplify]: Extracting #7: cost 2 inf + 30022 559.753 * * [simplify]: Extracting #8: cost 0 inf + 31356 559.760 * * [simplify]: Extracting #9: cost 0 inf + 31315 559.768 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 8)) 559.768 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 8))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 559.768 * * * * [progress]: [ 176 / 226 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))> 559.768 * [simplify]: Simplifying (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 559.768 * * [simplify]: iters left: 6 (12 enodes) 559.772 * * [simplify]: iters left: 5 (51 enodes) 559.781 * * [simplify]: iters left: 4 (87 enodes) 559.797 * * [simplify]: iters left: 3 (146 enodes) 559.837 * * [simplify]: iters left: 2 (263 enodes) 559.903 * * [simplify]: iters left: 1 (489 enodes) 560.180 * * [simplify]: Extracting #0: cost 1 inf + 0 560.180 * * [simplify]: Extracting #1: cost 2 inf + 0 560.181 * * [simplify]: Extracting #2: cost 28 inf + 0 560.181 * * [simplify]: Extracting #3: cost 126 inf + 1 560.183 * * [simplify]: Extracting #4: cost 214 inf + 262 560.185 * * [simplify]: Extracting #5: cost 214 inf + 853 560.192 * * [simplify]: Extracting #6: cost 102 inf + 21140 560.209 * * [simplify]: Extracting #7: cost 24 inf + 51884 560.232 * * [simplify]: Extracting #8: cost 0 inf + 68600 560.246 * [simplify]: Simplified to (real->posit16 (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) 560.246 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (posit16->real (real->posit16 (pow (* (* PI 2) n) (* 1/4 (- 1 k))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 560.246 * * * * [progress]: [ 177 / 226 ] simplifiying candidate # 560.247 * [simplify]: Simplifying (* n (* 2 PI)) 560.247 * * [simplify]: iters left: 4 (5 enodes) 560.248 * * [simplify]: iters left: 3 (19 enodes) 560.251 * * [simplify]: iters left: 2 (27 enodes) 560.256 * * [simplify]: iters left: 1 (32 enodes) 560.260 * * [simplify]: Extracting #0: cost 1 inf + 0 560.260 * * [simplify]: Extracting #1: cost 8 inf + 0 560.260 * * [simplify]: Extracting #2: cost 7 inf + 45 560.261 * * [simplify]: Extracting #3: cost 0 inf + 421 560.261 * [simplify]: Simplified to (* (* PI 2) n) 560.261 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 560.261 * * * * [progress]: [ 178 / 226 ] simplifiying candidate # 560.261 * [simplify]: Simplifying (* n (* 2 PI)) 560.261 * * [simplify]: iters left: 4 (5 enodes) 560.262 * * [simplify]: iters left: 3 (19 enodes) 560.266 * * [simplify]: iters left: 2 (27 enodes) 560.270 * * [simplify]: iters left: 1 (32 enodes) 560.281 * * [simplify]: Extracting #0: cost 1 inf + 0 560.281 * * [simplify]: Extracting #1: cost 8 inf + 0 560.281 * * [simplify]: Extracting #2: cost 7 inf + 45 560.281 * * [simplify]: Extracting #3: cost 0 inf + 421 560.282 * [simplify]: Simplified to (* (* PI 2) n) 560.282 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 560.282 * * * * [progress]: [ 179 / 226 ] simplifiying candidate # 560.282 * * * * [progress]: [ 180 / 226 ] simplifiying candidate # 560.282 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 560.282 * * [simplify]: iters left: 5 (8 enodes) 560.286 * * [simplify]: iters left: 4 (28 enodes) 560.295 * * [simplify]: iters left: 3 (36 enodes) 560.305 * * [simplify]: iters left: 2 (42 enodes) 560.316 * * [simplify]: Extracting #0: cost 1 inf + 0 560.316 * * [simplify]: Extracting #1: cost 8 inf + 0 560.317 * * [simplify]: Extracting #2: cost 17 inf + 0 560.317 * * [simplify]: Extracting #3: cost 12 inf + 145 560.317 * * [simplify]: Extracting #4: cost 5 inf + 1197 560.318 * * [simplify]: Extracting #5: cost 1 inf + 1925 560.318 * * [simplify]: Extracting #6: cost 0 inf + 2107 560.319 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 560.319 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 560.319 * * * * [progress]: [ 181 / 226 ] simplifiying candidate # 560.319 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 560.319 * * [simplify]: iters left: 5 (7 enodes) 560.323 * * [simplify]: iters left: 4 (26 enodes) 560.332 * * [simplify]: iters left: 3 (35 enodes) 560.342 * * [simplify]: iters left: 2 (44 enodes) 560.354 * * [simplify]: Extracting #0: cost 1 inf + 0 560.354 * * [simplify]: Extracting #1: cost 8 inf + 0 560.354 * * [simplify]: Extracting #2: cost 18 inf + 0 560.355 * * [simplify]: Extracting #3: cost 15 inf + 74 560.355 * * [simplify]: Extracting #4: cost 8 inf + 554 560.355 * * [simplify]: Extracting #5: cost 0 inf + 1911 560.356 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 560.356 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 560.356 * * * * [progress]: [ 182 / 226 ] simplifiying candidate # 560.357 * [simplify]: Simplifying (log (* n (* 2 PI))) 560.357 * * [simplify]: iters left: 5 (6 enodes) 560.360 * * [simplify]: iters left: 4 (25 enodes) 560.368 * * [simplify]: iters left: 3 (44 enodes) 560.382 * * [simplify]: iters left: 2 (62 enodes) 560.399 * * [simplify]: iters left: 1 (70 enodes) 560.415 * * [simplify]: Extracting #0: cost 1 inf + 0 560.415 * * [simplify]: Extracting #1: cost 9 inf + 0 560.416 * * [simplify]: Extracting #2: cost 22 inf + 0 560.416 * * [simplify]: Extracting #3: cost 19 inf + 228 560.416 * * [simplify]: Extracting #4: cost 6 inf + 1211 560.417 * * [simplify]: Extracting #5: cost 1 inf + 1713 560.418 * * [simplify]: Extracting #6: cost 0 inf + 1825 560.419 * [simplify]: Simplified to (log (* (* PI 2) n)) 560.419 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (log (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 560.419 * * * * [progress]: [ 183 / 226 ] simplifiying candidate # 560.419 * [simplify]: Simplifying (exp (* n (* 2 PI))) 560.419 * * [simplify]: iters left: 5 (6 enodes) 560.422 * * [simplify]: iters left: 4 (24 enodes) 560.432 * * [simplify]: iters left: 3 (41 enodes) 560.445 * * [simplify]: iters left: 2 (77 enodes) 560.469 * * [simplify]: iters left: 1 (133 enodes) 560.510 * * [simplify]: Extracting #0: cost 1 inf + 0 560.511 * * [simplify]: Extracting #1: cost 35 inf + 0 560.511 * * [simplify]: Extracting #2: cost 76 inf + 902 560.512 * * [simplify]: Extracting #3: cost 70 inf + 5088 560.515 * * [simplify]: Extracting #4: cost 26 inf + 14704 560.520 * * [simplify]: Extracting #5: cost 3 inf + 20923 560.524 * * [simplify]: Extracting #6: cost 0 inf + 21902 560.528 * [simplify]: Simplified to (* (exp (* n PI)) (exp (* n PI))) 560.528 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (log (* (exp (* n PI)) (exp (* n PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 560.529 * * * * [progress]: [ 184 / 226 ] simplifiying candidate # 560.529 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 560.529 * * [simplify]: iters left: 6 (11 enodes) 560.537 * * [simplify]: iters left: 5 (48 enodes) 560.556 * * [simplify]: iters left: 4 (121 enodes) 560.615 * * [simplify]: iters left: 3 (348 enodes) 560.852 * * [simplify]: Extracting #0: cost 1 inf + 0 560.852 * * [simplify]: Extracting #1: cost 67 inf + 0 560.853 * * [simplify]: Extracting #2: cost 165 inf + 786 560.859 * * [simplify]: Extracting #3: cost 81 inf + 10746 560.871 * * [simplify]: Extracting #4: cost 9 inf + 26018 560.884 * * [simplify]: Extracting #5: cost 0 inf + 28546 560.898 * * [simplify]: Extracting #6: cost 0 inf + 28506 560.911 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 560.911 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 560.911 * * * * [progress]: [ 185 / 226 ] simplifiying candidate # 560.911 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 560.911 * * [simplify]: iters left: 6 (9 enodes) 560.914 * * [simplify]: iters left: 5 (45 enodes) 560.923 * * [simplify]: iters left: 4 (117 enodes) 560.976 * * [simplify]: iters left: 3 (377 enodes) 561.269 * * [simplify]: Extracting #0: cost 1 inf + 0 561.270 * * [simplify]: Extracting #1: cost 79 inf + 0 561.272 * * [simplify]: Extracting #2: cost 191 inf + 659 561.279 * * [simplify]: Extracting #3: cost 100 inf + 13238 561.289 * * [simplify]: Extracting #4: cost 6 inf + 31685 561.299 * * [simplify]: Extracting #5: cost 0 inf + 32539 561.312 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 561.312 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 561.312 * * * * [progress]: [ 186 / 226 ] simplifiying candidate # 561.313 * [simplify]: Simplifying (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) 561.313 * * [simplify]: iters left: 6 (7 enodes) 561.317 * * [simplify]: iters left: 5 (25 enodes) 561.324 * * [simplify]: iters left: 4 (33 enodes) 561.334 * * [simplify]: iters left: 3 (39 enodes) 561.344 * * [simplify]: Extracting #0: cost 1 inf + 0 561.344 * * [simplify]: Extracting #1: cost 3 inf + 0 561.344 * * [simplify]: Extracting #2: cost 5 inf + 0 561.344 * * [simplify]: Extracting #3: cost 12 inf + 0 561.344 * * [simplify]: Extracting #4: cost 11 inf + 45 561.344 * * [simplify]: Extracting #5: cost 5 inf + 500 561.345 * * [simplify]: Extracting #6: cost 1 inf + 950 561.345 * * [simplify]: Extracting #7: cost 0 inf + 1153 561.346 * [simplify]: Simplified to (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) 561.346 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 561.346 * [simplify]: Simplifying (cbrt (* n (* 2 PI))) 561.346 * * [simplify]: iters left: 5 (6 enodes) 561.350 * * [simplify]: iters left: 4 (22 enodes) 561.356 * * [simplify]: iters left: 3 (30 enodes) 561.362 * * [simplify]: iters left: 2 (35 enodes) 561.366 * * [simplify]: Extracting #0: cost 1 inf + 0 561.366 * * [simplify]: Extracting #1: cost 3 inf + 0 561.366 * * [simplify]: Extracting #2: cost 10 inf + 0 561.366 * * [simplify]: Extracting #3: cost 10 inf + 3 561.366 * * [simplify]: Extracting #4: cost 6 inf + 171 561.366 * * [simplify]: Extracting #5: cost 1 inf + 584 561.367 * * [simplify]: Extracting #6: cost 0 inf + 747 561.367 * [simplify]: Simplified to (cbrt (* (* PI 2) n)) 561.367 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 561.367 * * * * [progress]: [ 187 / 226 ] simplifiying candidate # 561.367 * [simplify]: Simplifying (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI))) 561.367 * * [simplify]: iters left: 6 (7 enodes) 561.369 * * [simplify]: iters left: 5 (35 enodes) 561.377 * * [simplify]: iters left: 4 (120 enodes) 561.449 * * [simplify]: iters left: 3 (434 enodes) 561.893 * * [simplify]: Extracting #0: cost 1 inf + 0 561.893 * * [simplify]: Extracting #1: cost 75 inf + 0 561.894 * * [simplify]: Extracting #2: cost 190 inf + 661 561.898 * * [simplify]: Extracting #3: cost 73 inf + 17047 561.908 * * [simplify]: Extracting #4: cost 3 inf + 27583 561.917 * * [simplify]: Extracting #5: cost 0 inf + 27781 561.931 * * [simplify]: Extracting #6: cost 0 inf + 27740 561.950 * [simplify]: Simplified to (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n))) 561.950 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (cbrt (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 561.951 * * * * [progress]: [ 188 / 226 ] simplifiying candidate # 561.951 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 561.951 * * [simplify]: iters left: 5 (6 enodes) 561.954 * * [simplify]: iters left: 4 (22 enodes) 561.961 * * [simplify]: iters left: 3 (30 enodes) 561.970 * * [simplify]: iters left: 2 (35 enodes) 561.979 * * [simplify]: Extracting #0: cost 1 inf + 0 561.979 * * [simplify]: Extracting #1: cost 3 inf + 0 561.979 * * [simplify]: Extracting #2: cost 10 inf + 0 561.979 * * [simplify]: Extracting #3: cost 10 inf + 3 561.979 * * [simplify]: Extracting #4: cost 6 inf + 171 561.980 * * [simplify]: Extracting #5: cost 1 inf + 544 561.980 * * [simplify]: Extracting #6: cost 0 inf + 667 561.981 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 561.981 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (sqrt (* (* PI 2) n)) (sqrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 561.981 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 561.981 * * [simplify]: iters left: 5 (6 enodes) 561.985 * * [simplify]: iters left: 4 (22 enodes) 561.991 * * [simplify]: iters left: 3 (30 enodes) 562.002 * * [simplify]: iters left: 2 (35 enodes) 562.011 * * [simplify]: Extracting #0: cost 1 inf + 0 562.011 * * [simplify]: Extracting #1: cost 3 inf + 0 562.011 * * [simplify]: Extracting #2: cost 10 inf + 0 562.011 * * [simplify]: Extracting #3: cost 10 inf + 3 562.011 * * [simplify]: Extracting #4: cost 6 inf + 171 562.012 * * [simplify]: Extracting #5: cost 1 inf + 544 562.012 * * [simplify]: Extracting #6: cost 0 inf + 667 562.012 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 562.012 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 562.012 * * * * [progress]: [ 189 / 226 ] simplifiying candidate # 562.012 * * * * [progress]: [ 190 / 226 ] simplifiying candidate # 562.012 * [simplify]: Simplifying (* n 2) 562.012 * * [simplify]: iters left: 2 (3 enodes) 562.013 * * [simplify]: iters left: 1 (10 enodes) 562.015 * * [simplify]: Extracting #0: cost 1 inf + 0 562.015 * * [simplify]: Extracting #1: cost 4 inf + 0 562.015 * * [simplify]: Extracting #2: cost 2 inf + 2 562.015 * * [simplify]: Extracting #3: cost 0 inf + 86 562.015 * [simplify]: Simplified to (* n 2) 562.015 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 562.015 * * * * [progress]: [ 191 / 226 ] simplifiying candidate # 562.016 * [simplify]: Simplifying (* (cbrt n) (* 2 PI)) 562.016 * * [simplify]: iters left: 4 (6 enodes) 562.017 * * [simplify]: iters left: 3 (22 enodes) 562.020 * * [simplify]: iters left: 2 (30 enodes) 562.025 * * [simplify]: iters left: 1 (35 enodes) 562.029 * * [simplify]: Extracting #0: cost 1 inf + 0 562.029 * * [simplify]: Extracting #1: cost 8 inf + 0 562.029 * * [simplify]: Extracting #2: cost 10 inf + 44 562.030 * * [simplify]: Extracting #3: cost 8 inf + 87 562.030 * * [simplify]: Extracting #4: cost 5 inf + 453 562.030 * * [simplify]: Extracting #5: cost 0 inf + 1063 562.030 * [simplify]: Simplified to (* (cbrt n) (* 2 PI)) 562.030 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 562.030 * * * * [progress]: [ 192 / 226 ] simplifiying candidate # 562.030 * [simplify]: Simplifying (* (sqrt n) (* 2 PI)) 562.030 * * [simplify]: iters left: 4 (6 enodes) 562.032 * * [simplify]: iters left: 3 (22 enodes) 562.036 * * [simplify]: iters left: 2 (30 enodes) 562.040 * * [simplify]: iters left: 1 (35 enodes) 562.045 * * [simplify]: Extracting #0: cost 1 inf + 0 562.045 * * [simplify]: Extracting #1: cost 8 inf + 0 562.045 * * [simplify]: Extracting #2: cost 10 inf + 44 562.045 * * [simplify]: Extracting #3: cost 8 inf + 87 562.045 * * [simplify]: Extracting #4: cost 5 inf + 333 562.045 * * [simplify]: Extracting #5: cost 0 inf + 743 562.045 * [simplify]: Simplified to (* (sqrt n) (* 2 PI)) 562.045 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 562.046 * * * * [progress]: [ 193 / 226 ] simplifiying candidate # 562.046 * [simplify]: Simplifying (* n (* 2 PI)) 562.046 * * [simplify]: iters left: 4 (5 enodes) 562.047 * * [simplify]: iters left: 3 (19 enodes) 562.050 * * [simplify]: iters left: 2 (27 enodes) 562.054 * * [simplify]: iters left: 1 (32 enodes) 562.058 * * [simplify]: Extracting #0: cost 1 inf + 0 562.058 * * [simplify]: Extracting #1: cost 8 inf + 0 562.059 * * [simplify]: Extracting #2: cost 7 inf + 45 562.059 * * [simplify]: Extracting #3: cost 0 inf + 421 562.059 * [simplify]: Simplified to (* (* PI 2) n) 562.059 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* 1 (* (* PI 2) n)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 562.059 * * * * [progress]: [ 194 / 226 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))> 562.059 * [simplify]: Simplifying (real->posit16 (* n (* 2 PI))) 562.059 * * [simplify]: iters left: 5 (6 enodes) 562.061 * * [simplify]: iters left: 4 (19 enodes) 562.064 * * [simplify]: iters left: 3 (27 enodes) 562.069 * * [simplify]: iters left: 2 (32 enodes) 562.074 * * [simplify]: Extracting #0: cost 1 inf + 0 562.074 * * [simplify]: Extracting #1: cost 2 inf + 0 562.074 * * [simplify]: Extracting #2: cost 8 inf + 0 562.074 * * [simplify]: Extracting #3: cost 7 inf + 45 562.074 * * [simplify]: Extracting #4: cost 1 inf + 379 562.075 * * [simplify]: Extracting #5: cost 0 inf + 421 562.075 * [simplify]: Simplified to (real->posit16 (* (* PI 2) n)) 562.075 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (posit16->real (real->posit16 (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 562.075 * * * * [progress]: [ 195 / 226 ] simplifiying candidate # 562.075 * * * * [progress]: [ 196 / 226 ] simplifiying candidate # 562.075 * [simplify]: Simplifying (* n (* 2 PI)) 562.075 * * [simplify]: iters left: 4 (5 enodes) 562.077 * * [simplify]: iters left: 3 (19 enodes) 562.080 * * [simplify]: iters left: 2 (27 enodes) 562.085 * * [simplify]: iters left: 1 (32 enodes) 562.090 * * [simplify]: Extracting #0: cost 1 inf + 0 562.090 * * [simplify]: Extracting #1: cost 8 inf + 0 562.090 * * [simplify]: Extracting #2: cost 7 inf + 45 562.090 * * [simplify]: Extracting #3: cost 0 inf + 421 562.090 * [simplify]: Simplified to (* (* PI 2) n) 562.090 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 562.091 * * * * [progress]: [ 197 / 226 ] simplifiying candidate # 562.091 * [simplify]: Simplifying (* n (* 2 PI)) 562.091 * * [simplify]: iters left: 4 (5 enodes) 562.093 * * [simplify]: iters left: 3 (19 enodes) 562.096 * * [simplify]: iters left: 2 (27 enodes) 562.100 * * [simplify]: iters left: 1 (32 enodes) 562.104 * * [simplify]: Extracting #0: cost 1 inf + 0 562.104 * * [simplify]: Extracting #1: cost 8 inf + 0 562.104 * * [simplify]: Extracting #2: cost 7 inf + 45 562.104 * * [simplify]: Extracting #3: cost 0 inf + 421 562.104 * [simplify]: Simplified to (* (* PI 2) n) 562.104 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 562.104 * * * * [progress]: [ 198 / 226 ] simplifiying candidate # 562.104 * * * * [progress]: [ 199 / 226 ] simplifiying candidate # 562.105 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 562.105 * * [simplify]: iters left: 5 (8 enodes) 562.107 * * [simplify]: iters left: 4 (28 enodes) 562.112 * * [simplify]: iters left: 3 (36 enodes) 562.118 * * [simplify]: iters left: 2 (42 enodes) 562.123 * * [simplify]: Extracting #0: cost 1 inf + 0 562.123 * * [simplify]: Extracting #1: cost 8 inf + 0 562.123 * * [simplify]: Extracting #2: cost 17 inf + 0 562.123 * * [simplify]: Extracting #3: cost 12 inf + 145 562.124 * * [simplify]: Extracting #4: cost 5 inf + 1197 562.124 * * [simplify]: Extracting #5: cost 1 inf + 1925 562.124 * * [simplify]: Extracting #6: cost 0 inf + 2107 562.125 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 562.125 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 562.125 * * * * [progress]: [ 200 / 226 ] simplifiying candidate # 562.125 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 562.125 * * [simplify]: iters left: 5 (7 enodes) 562.127 * * [simplify]: iters left: 4 (26 enodes) 562.131 * * [simplify]: iters left: 3 (35 enodes) 562.136 * * [simplify]: iters left: 2 (44 enodes) 562.142 * * [simplify]: Extracting #0: cost 1 inf + 0 562.142 * * [simplify]: Extracting #1: cost 8 inf + 0 562.142 * * [simplify]: Extracting #2: cost 18 inf + 0 562.142 * * [simplify]: Extracting #3: cost 15 inf + 74 562.142 * * [simplify]: Extracting #4: cost 8 inf + 554 562.143 * * [simplify]: Extracting #5: cost 0 inf + 1911 562.143 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 562.143 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 562.143 * * * * [progress]: [ 201 / 226 ] simplifiying candidate # 562.143 * [simplify]: Simplifying (log (* n (* 2 PI))) 562.143 * * [simplify]: iters left: 5 (6 enodes) 562.145 * * [simplify]: iters left: 4 (25 enodes) 562.149 * * [simplify]: iters left: 3 (44 enodes) 562.161 * * [simplify]: iters left: 2 (62 enodes) 562.177 * * [simplify]: iters left: 1 (70 enodes) 562.197 * * [simplify]: Extracting #0: cost 1 inf + 0 562.197 * * [simplify]: Extracting #1: cost 9 inf + 0 562.197 * * [simplify]: Extracting #2: cost 22 inf + 0 562.198 * * [simplify]: Extracting #3: cost 19 inf + 228 562.198 * * [simplify]: Extracting #4: cost 6 inf + 1211 562.199 * * [simplify]: Extracting #5: cost 1 inf + 1713 562.200 * * [simplify]: Extracting #6: cost 0 inf + 1825 562.200 * [simplify]: Simplified to (log (* (* PI 2) n)) 562.200 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (exp (log (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 562.201 * * * * [progress]: [ 202 / 226 ] simplifiying candidate # 562.201 * [simplify]: Simplifying (exp (* n (* 2 PI))) 562.201 * * [simplify]: iters left: 5 (6 enodes) 562.204 * * [simplify]: iters left: 4 (24 enodes) 562.212 * * [simplify]: iters left: 3 (41 enodes) 562.225 * * [simplify]: iters left: 2 (77 enodes) 562.249 * * [simplify]: iters left: 1 (133 enodes) 562.290 * * [simplify]: Extracting #0: cost 1 inf + 0 562.290 * * [simplify]: Extracting #1: cost 35 inf + 0 562.291 * * [simplify]: Extracting #2: cost 76 inf + 902 562.292 * * [simplify]: Extracting #3: cost 70 inf + 5088 562.295 * * [simplify]: Extracting #4: cost 26 inf + 14704 562.299 * * [simplify]: Extracting #5: cost 3 inf + 20923 562.304 * * [simplify]: Extracting #6: cost 0 inf + 21902 562.308 * [simplify]: Simplified to (* (exp (* n PI)) (exp (* n PI))) 562.309 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (log (* (exp (* n PI)) (exp (* n PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 562.309 * * * * [progress]: [ 203 / 226 ] simplifiying candidate # 562.309 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 562.309 * * [simplify]: iters left: 6 (11 enodes) 562.318 * * [simplify]: iters left: 5 (48 enodes) 562.339 * * [simplify]: iters left: 4 (121 enodes) 562.396 * * [simplify]: iters left: 3 (348 enodes) 562.612 * * [simplify]: Extracting #0: cost 1 inf + 0 562.612 * * [simplify]: Extracting #1: cost 67 inf + 0 562.614 * * [simplify]: Extracting #2: cost 165 inf + 786 562.617 * * [simplify]: Extracting #3: cost 81 inf + 10746 562.623 * * [simplify]: Extracting #4: cost 9 inf + 26018 562.629 * * [simplify]: Extracting #5: cost 0 inf + 28546 562.636 * * [simplify]: Extracting #6: cost 0 inf + 28506 562.642 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 562.642 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 562.642 * * * * [progress]: [ 204 / 226 ] simplifiying candidate # 562.642 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 562.643 * * [simplify]: iters left: 6 (9 enodes) 562.646 * * [simplify]: iters left: 5 (45 enodes) 562.658 * * [simplify]: iters left: 4 (117 enodes) 562.728 * * [simplify]: iters left: 3 (377 enodes) 563.050 * * [simplify]: Extracting #0: cost 1 inf + 0 563.050 * * [simplify]: Extracting #1: cost 79 inf + 0 563.053 * * [simplify]: Extracting #2: cost 191 inf + 659 563.060 * * [simplify]: Extracting #3: cost 100 inf + 13238 563.077 * * [simplify]: Extracting #4: cost 6 inf + 31685 563.100 * * [simplify]: Extracting #5: cost 0 inf + 32539 563.119 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 563.119 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 563.120 * * * * [progress]: [ 205 / 226 ] simplifiying candidate # 563.120 * [simplify]: Simplifying (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) 563.120 * * [simplify]: iters left: 6 (7 enodes) 563.124 * * [simplify]: iters left: 5 (25 enodes) 563.132 * * [simplify]: iters left: 4 (33 enodes) 563.142 * * [simplify]: iters left: 3 (39 enodes) 563.148 * * [simplify]: Extracting #0: cost 1 inf + 0 563.148 * * [simplify]: Extracting #1: cost 3 inf + 0 563.148 * * [simplify]: Extracting #2: cost 5 inf + 0 563.148 * * [simplify]: Extracting #3: cost 12 inf + 0 563.148 * * [simplify]: Extracting #4: cost 11 inf + 45 563.148 * * [simplify]: Extracting #5: cost 5 inf + 500 563.148 * * [simplify]: Extracting #6: cost 1 inf + 950 563.148 * * [simplify]: Extracting #7: cost 0 inf + 1153 563.149 * [simplify]: Simplified to (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) 563.149 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (* (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 563.149 * [simplify]: Simplifying (cbrt (* n (* 2 PI))) 563.149 * * [simplify]: iters left: 5 (6 enodes) 563.151 * * [simplify]: iters left: 4 (22 enodes) 563.154 * * [simplify]: iters left: 3 (30 enodes) 563.159 * * [simplify]: iters left: 2 (35 enodes) 563.163 * * [simplify]: Extracting #0: cost 1 inf + 0 563.163 * * [simplify]: Extracting #1: cost 3 inf + 0 563.163 * * [simplify]: Extracting #2: cost 10 inf + 0 563.164 * * [simplify]: Extracting #3: cost 10 inf + 3 563.164 * * [simplify]: Extracting #4: cost 6 inf + 171 563.164 * * [simplify]: Extracting #5: cost 1 inf + 584 563.164 * * [simplify]: Extracting #6: cost 0 inf + 747 563.164 * [simplify]: Simplified to (cbrt (* (* PI 2) n)) 563.164 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 563.164 * * * * [progress]: [ 206 / 226 ] simplifiying candidate # 563.165 * [simplify]: Simplifying (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI))) 563.165 * * [simplify]: iters left: 6 (7 enodes) 563.167 * * [simplify]: iters left: 5 (35 enodes) 563.180 * * [simplify]: iters left: 4 (120 enodes) 563.264 * * [simplify]: iters left: 3 (434 enodes) 563.678 * * [simplify]: Extracting #0: cost 1 inf + 0 563.678 * * [simplify]: Extracting #1: cost 75 inf + 0 563.680 * * [simplify]: Extracting #2: cost 190 inf + 661 563.684 * * [simplify]: Extracting #3: cost 73 inf + 17047 563.693 * * [simplify]: Extracting #4: cost 3 inf + 27583 563.703 * * [simplify]: Extracting #5: cost 0 inf + 27781 563.715 * * [simplify]: Extracting #6: cost 0 inf + 27740 563.735 * [simplify]: Simplified to (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n))) 563.735 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (cbrt (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 563.736 * * * * [progress]: [ 207 / 226 ] simplifiying candidate # 563.736 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 563.736 * * [simplify]: iters left: 5 (6 enodes) 563.739 * * [simplify]: iters left: 4 (22 enodes) 563.746 * * [simplify]: iters left: 3 (30 enodes) 563.758 * * [simplify]: iters left: 2 (35 enodes) 563.767 * * [simplify]: Extracting #0: cost 1 inf + 0 563.767 * * [simplify]: Extracting #1: cost 3 inf + 0 563.767 * * [simplify]: Extracting #2: cost 10 inf + 0 563.767 * * [simplify]: Extracting #3: cost 10 inf + 3 563.768 * * [simplify]: Extracting #4: cost 6 inf + 171 563.768 * * [simplify]: Extracting #5: cost 1 inf + 544 563.768 * * [simplify]: Extracting #6: cost 0 inf + 667 563.769 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 563.769 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (* (sqrt (* (* PI 2) n)) (sqrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 563.769 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 563.769 * * [simplify]: iters left: 5 (6 enodes) 563.773 * * [simplify]: iters left: 4 (22 enodes) 563.780 * * [simplify]: iters left: 3 (30 enodes) 563.788 * * [simplify]: iters left: 2 (35 enodes) 563.797 * * [simplify]: Extracting #0: cost 1 inf + 0 563.797 * * [simplify]: Extracting #1: cost 3 inf + 0 563.797 * * [simplify]: Extracting #2: cost 10 inf + 0 563.797 * * [simplify]: Extracting #3: cost 10 inf + 3 563.797 * * [simplify]: Extracting #4: cost 6 inf + 171 563.798 * * [simplify]: Extracting #5: cost 1 inf + 544 563.798 * * [simplify]: Extracting #6: cost 0 inf + 667 563.798 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 563.799 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 563.799 * * * * [progress]: [ 208 / 226 ] simplifiying candidate # 563.799 * * * * [progress]: [ 209 / 226 ] simplifiying candidate # 563.799 * [simplify]: Simplifying (* n 2) 563.799 * * [simplify]: iters left: 2 (3 enodes) 563.801 * * [simplify]: iters left: 1 (10 enodes) 563.804 * * [simplify]: Extracting #0: cost 1 inf + 0 563.804 * * [simplify]: Extracting #1: cost 4 inf + 0 563.804 * * [simplify]: Extracting #2: cost 2 inf + 2 563.804 * * [simplify]: Extracting #3: cost 0 inf + 86 563.804 * [simplify]: Simplified to (* n 2) 563.804 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 563.804 * * * * [progress]: [ 210 / 226 ] simplifiying candidate # 563.805 * [simplify]: Simplifying (* (cbrt n) (* 2 PI)) 563.805 * * [simplify]: iters left: 4 (6 enodes) 563.808 * * [simplify]: iters left: 3 (22 enodes) 563.814 * * [simplify]: iters left: 2 (30 enodes) 563.823 * * [simplify]: iters left: 1 (35 enodes) 563.831 * * [simplify]: Extracting #0: cost 1 inf + 0 563.831 * * [simplify]: Extracting #1: cost 8 inf + 0 563.831 * * [simplify]: Extracting #2: cost 10 inf + 44 563.832 * * [simplify]: Extracting #3: cost 8 inf + 87 563.832 * * [simplify]: Extracting #4: cost 5 inf + 453 563.832 * * [simplify]: Extracting #5: cost 0 inf + 1063 563.833 * [simplify]: Simplified to (* (cbrt n) (* 2 PI)) 563.833 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 563.833 * * * * [progress]: [ 211 / 226 ] simplifiying candidate # 563.833 * [simplify]: Simplifying (* (sqrt n) (* 2 PI)) 563.833 * * [simplify]: iters left: 4 (6 enodes) 563.837 * * [simplify]: iters left: 3 (22 enodes) 563.844 * * [simplify]: iters left: 2 (30 enodes) 563.852 * * [simplify]: iters left: 1 (35 enodes) 563.861 * * [simplify]: Extracting #0: cost 1 inf + 0 563.861 * * [simplify]: Extracting #1: cost 8 inf + 0 563.861 * * [simplify]: Extracting #2: cost 10 inf + 44 563.862 * * [simplify]: Extracting #3: cost 8 inf + 87 563.862 * * [simplify]: Extracting #4: cost 5 inf + 333 563.862 * * [simplify]: Extracting #5: cost 0 inf + 743 563.863 * [simplify]: Simplified to (* (sqrt n) (* 2 PI)) 563.863 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 563.863 * * * * [progress]: [ 212 / 226 ] simplifiying candidate # 563.863 * [simplify]: Simplifying (* n (* 2 PI)) 563.863 * * [simplify]: iters left: 4 (5 enodes) 563.866 * * [simplify]: iters left: 3 (19 enodes) 563.872 * * [simplify]: iters left: 2 (27 enodes) 563.879 * * [simplify]: iters left: 1 (32 enodes) 563.887 * * [simplify]: Extracting #0: cost 1 inf + 0 563.887 * * [simplify]: Extracting #1: cost 8 inf + 0 563.887 * * [simplify]: Extracting #2: cost 7 inf + 45 563.888 * * [simplify]: Extracting #3: cost 0 inf + 421 563.888 * [simplify]: Simplified to (* (* PI 2) n) 563.888 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (* 1 (* (* PI 2) n)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 563.888 * * * * [progress]: [ 213 / 226 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))> 563.888 * [simplify]: Simplifying (real->posit16 (* n (* 2 PI))) 563.889 * * [simplify]: iters left: 5 (6 enodes) 563.892 * * [simplify]: iters left: 4 (19 enodes) 563.898 * * [simplify]: iters left: 3 (27 enodes) 563.908 * * [simplify]: iters left: 2 (32 enodes) 563.916 * * [simplify]: Extracting #0: cost 1 inf + 0 563.916 * * [simplify]: Extracting #1: cost 2 inf + 0 563.916 * * [simplify]: Extracting #2: cost 8 inf + 0 563.916 * * [simplify]: Extracting #3: cost 7 inf + 45 563.916 * * [simplify]: Extracting #4: cost 1 inf + 379 563.916 * * [simplify]: Extracting #5: cost 0 inf + 421 563.917 * [simplify]: Simplified to (real->posit16 (* (* PI 2) n)) 563.917 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (posit16->real (real->posit16 (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 563.917 * * * * [progress]: [ 214 / 226 ] simplifiying candidate # 563.917 * * * * [progress]: [ 215 / 226 ] simplifiying candidate # 563.917 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 563.918 * * [simplify]: iters left: 6 (37 enodes) 563.932 * * [simplify]: iters left: 5 (190 enodes) 563.985 * * [simplify]: Extracting #0: cost 1 inf + 0 563.985 * * [simplify]: Extracting #1: cost 18 inf + 0 563.986 * * [simplify]: Extracting #2: cost 85 inf + 0 563.987 * * [simplify]: Extracting #3: cost 169 inf + 45 563.988 * * [simplify]: Extracting #4: cost 194 inf + 581 563.993 * * [simplify]: Extracting #5: cost 128 inf + 18118 564.011 * * [simplify]: Extracting #6: cost 27 inf + 64733 564.032 * * [simplify]: Extracting #7: cost 1 inf + 82414 564.047 * * [simplify]: Extracting #8: cost 0 inf + 81915 564.064 * * [simplify]: Extracting #9: cost 0 inf + 81594 564.082 * [simplify]: Simplified to (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) 564.082 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) (sqrt k)))) 564.082 * * * * [progress]: [ 216 / 226 ] simplifiying candidate # 564.083 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 564.083 * * [simplify]: iters left: 6 (15 enodes) 564.088 * * [simplify]: iters left: 5 (65 enodes) 564.099 * * [simplify]: iters left: 4 (123 enodes) 564.139 * * [simplify]: iters left: 3 (361 enodes) 564.284 * * [simplify]: Extracting #0: cost 1 inf + 0 564.285 * * [simplify]: Extracting #1: cost 37 inf + 0 564.285 * * [simplify]: Extracting #2: cost 214 inf + 1 564.288 * * [simplify]: Extracting #3: cost 357 inf + 1282 564.300 * * [simplify]: Extracting #4: cost 227 inf + 25610 564.321 * * [simplify]: Extracting #5: cost 49 inf + 73944 564.350 * * [simplify]: Extracting #6: cost 7 inf + 85875 564.381 * * [simplify]: Extracting #7: cost 0 inf + 89339 564.409 * * [simplify]: Extracting #8: cost 0 inf + 89255 564.426 * [simplify]: Simplified to (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) 564.426 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) (sqrt k)))) 564.426 * * * * [progress]: [ 217 / 226 ] simplifiying candidate # 564.426 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 564.426 * * [simplify]: iters left: 6 (16 enodes) 564.432 * * [simplify]: iters left: 5 (67 enodes) 564.453 * * [simplify]: iters left: 4 (134 enodes) 564.500 * * [simplify]: iters left: 3 (406 enodes) 564.709 * * [simplify]: Extracting #0: cost 1 inf + 0 564.709 * * [simplify]: Extracting #1: cost 39 inf + 0 564.709 * * [simplify]: Extracting #2: cost 241 inf + 72 564.711 * * [simplify]: Extracting #3: cost 449 inf + 888 564.719 * * [simplify]: Extracting #4: cost 276 inf + 41470 564.753 * * [simplify]: Extracting #5: cost 21 inf + 115189 564.777 * * [simplify]: Extracting #6: cost 0 inf + 121987 564.820 * * [simplify]: Extracting #7: cost 0 inf + 121985 564.859 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 564.859 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))) 564.859 * * * * [progress]: [ 218 / 226 ] simplifiying candidate # 564.859 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 564.860 * * [simplify]: iters left: 6 (37 enodes) 564.871 * * [simplify]: iters left: 5 (190 enodes) 564.912 * * [simplify]: Extracting #0: cost 1 inf + 0 564.912 * * [simplify]: Extracting #1: cost 18 inf + 0 564.912 * * [simplify]: Extracting #2: cost 85 inf + 0 564.913 * * [simplify]: Extracting #3: cost 169 inf + 45 564.913 * * [simplify]: Extracting #4: cost 194 inf + 581 564.916 * * [simplify]: Extracting #5: cost 128 inf + 18118 564.925 * * [simplify]: Extracting #6: cost 27 inf + 64733 564.942 * * [simplify]: Extracting #7: cost 1 inf + 82414 564.970 * * [simplify]: Extracting #8: cost 0 inf + 81915 564.988 * * [simplify]: Extracting #9: cost 0 inf + 81594 565.008 * [simplify]: Simplified to (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) 565.009 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 565.009 * * * * [progress]: [ 219 / 226 ] simplifiying candidate # 565.010 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 565.010 * * [simplify]: iters left: 6 (15 enodes) 565.019 * * [simplify]: iters left: 5 (65 enodes) 565.035 * * [simplify]: iters left: 4 (123 enodes) 565.072 * * [simplify]: iters left: 3 (361 enodes) 565.246 * * [simplify]: Extracting #0: cost 1 inf + 0 565.247 * * [simplify]: Extracting #1: cost 37 inf + 0 565.248 * * [simplify]: Extracting #2: cost 214 inf + 1 565.251 * * [simplify]: Extracting #3: cost 357 inf + 1282 565.263 * * [simplify]: Extracting #4: cost 227 inf + 25610 565.285 * * [simplify]: Extracting #5: cost 49 inf + 73944 565.316 * * [simplify]: Extracting #6: cost 7 inf + 85875 565.346 * * [simplify]: Extracting #7: cost 0 inf + 89339 565.377 * * [simplify]: Extracting #8: cost 0 inf + 89255 565.398 * [simplify]: Simplified to (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) 565.398 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 565.398 * * * * [progress]: [ 220 / 226 ] simplifiying candidate # 565.399 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 565.399 * * [simplify]: iters left: 6 (16 enodes) 565.405 * * [simplify]: iters left: 5 (67 enodes) 565.420 * * [simplify]: iters left: 4 (134 enodes) 565.467 * * [simplify]: iters left: 3 (406 enodes) 565.634 * * [simplify]: Extracting #0: cost 1 inf + 0 565.634 * * [simplify]: Extracting #1: cost 39 inf + 0 565.635 * * [simplify]: Extracting #2: cost 241 inf + 72 565.638 * * [simplify]: Extracting #3: cost 449 inf + 888 565.650 * * [simplify]: Extracting #4: cost 276 inf + 41470 565.690 * * [simplify]: Extracting #5: cost 21 inf + 115189 565.733 * * [simplify]: Extracting #6: cost 0 inf + 121987 565.765 * * [simplify]: Extracting #7: cost 0 inf + 121985 565.800 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 565.800 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 565.800 * * * * [progress]: [ 221 / 226 ] simplifiying candidate # 565.800 * [simplify]: Simplifying (* 2 (* n PI)) 565.800 * * [simplify]: iters left: 4 (5 enodes) 565.803 * * [simplify]: iters left: 3 (19 enodes) 565.809 * * [simplify]: iters left: 2 (27 enodes) 565.817 * * [simplify]: iters left: 1 (32 enodes) 565.822 * * [simplify]: Extracting #0: cost 1 inf + 0 565.822 * * [simplify]: Extracting #1: cost 8 inf + 0 565.822 * * [simplify]: Extracting #2: cost 7 inf + 45 565.822 * * [simplify]: Extracting #3: cost 0 inf + 421 565.822 * [simplify]: Simplified to (* (* PI n) 2) 565.822 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 565.822 * * * * [progress]: [ 222 / 226 ] simplifiying candidate # 565.822 * [simplify]: Simplifying (* 2 (* n PI)) 565.823 * * [simplify]: iters left: 4 (5 enodes) 565.824 * * [simplify]: iters left: 3 (19 enodes) 565.827 * * [simplify]: iters left: 2 (27 enodes) 565.831 * * [simplify]: iters left: 1 (32 enodes) 565.836 * * [simplify]: Extracting #0: cost 1 inf + 0 565.836 * * [simplify]: Extracting #1: cost 8 inf + 0 565.836 * * [simplify]: Extracting #2: cost 7 inf + 45 565.836 * * [simplify]: Extracting #3: cost 0 inf + 421 565.836 * [simplify]: Simplified to (* (* PI n) 2) 565.836 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 565.836 * * * * [progress]: [ 223 / 226 ] simplifiying candidate # 565.837 * [simplify]: Simplifying (* 2 (* n PI)) 565.837 * * [simplify]: iters left: 4 (5 enodes) 565.838 * * [simplify]: iters left: 3 (19 enodes) 565.841 * * [simplify]: iters left: 2 (27 enodes) 565.845 * * [simplify]: iters left: 1 (32 enodes) 565.851 * * [simplify]: Extracting #0: cost 1 inf + 0 565.851 * * [simplify]: Extracting #1: cost 8 inf + 0 565.851 * * [simplify]: Extracting #2: cost 7 inf + 45 565.852 * * [simplify]: Extracting #3: cost 0 inf + 421 565.852 * [simplify]: Simplified to (* (* PI n) 2) 565.852 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 565.852 * * * * [progress]: [ 224 / 226 ] simplifiying candidate # 565.852 * [simplify]: Simplifying (* 2 (* n PI)) 565.852 * * [simplify]: iters left: 4 (5 enodes) 565.855 * * [simplify]: iters left: 3 (19 enodes) 565.861 * * [simplify]: iters left: 2 (27 enodes) 565.869 * * [simplify]: iters left: 1 (32 enodes) 565.877 * * [simplify]: Extracting #0: cost 1 inf + 0 565.877 * * [simplify]: Extracting #1: cost 8 inf + 0 565.877 * * [simplify]: Extracting #2: cost 7 inf + 45 565.878 * * [simplify]: Extracting #3: cost 0 inf + 421 565.878 * [simplify]: Simplified to (* (* PI n) 2) 565.878 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 565.878 * * * * [progress]: [ 225 / 226 ] simplifiying candidate # 565.879 * [simplify]: Simplifying (* 2 (* n PI)) 565.879 * * [simplify]: iters left: 4 (5 enodes) 565.881 * * [simplify]: iters left: 3 (19 enodes) 565.888 * * [simplify]: iters left: 2 (27 enodes) 565.895 * * [simplify]: iters left: 1 (32 enodes) 565.903 * * [simplify]: Extracting #0: cost 1 inf + 0 565.903 * * [simplify]: Extracting #1: cost 8 inf + 0 565.904 * * [simplify]: Extracting #2: cost 7 inf + 45 565.904 * * [simplify]: Extracting #3: cost 0 inf + 421 565.904 * [simplify]: Simplified to (* (* PI n) 2) 565.904 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 565.904 * * * * [progress]: [ 226 / 226 ] simplifiying candidate # 565.905 * [simplify]: Simplifying (* 2 (* n PI)) 565.905 * * [simplify]: iters left: 4 (5 enodes) 565.907 * * [simplify]: iters left: 3 (19 enodes) 565.915 * * [simplify]: iters left: 2 (27 enodes) 565.923 * * [simplify]: iters left: 1 (32 enodes) 565.931 * * [simplify]: Extracting #0: cost 1 inf + 0 565.931 * * [simplify]: Extracting #1: cost 8 inf + 0 565.932 * * [simplify]: Extracting #2: cost 7 inf + 45 565.932 * * [simplify]: Extracting #3: cost 0 inf + 421 565.932 * [simplify]: Simplified to (* (* PI n) 2) 565.932 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 565.933 * * * [progress]: adding candidates to table 569.063 * [progress]: [Phase 3 of 3] Extracting. 569.063 * * [regime]: Finding splitpoints for: (# # # # # #) 569.065 * * * [regime-changes]: Trying 2 branch expressions: (n k) 569.065 * * * * [regimes]: Trying to branch on n from (# # # # # #) 569.123 * * * * [regimes]: Trying to branch on k from (# # # # # #) 569.175 * * * [regime]: Found split indices: #