0.003 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.207 * * * [progress]: [2/2] Setting up program. 0.213 * [progress]: [Phase 2 of 3] Improving. 0.213 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.213 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.214 * * [simplify]: iters left: 6 (13 enodes) 0.221 * * [simplify]: iters left: 5 (57 enodes) 0.241 * * [simplify]: iters left: 4 (96 enodes) 0.274 * * [simplify]: iters left: 3 (174 enodes) 0.324 * * [simplify]: iters left: 2 (354 enodes) 0.847 * * [simplify]: Extracting #0: cost 1 inf + 0 0.847 * * [simplify]: Extracting #1: cost 40 inf + 0 0.848 * * [simplify]: Extracting #2: cost 129 inf + 1 0.849 * * [simplify]: Extracting #3: cost 169 inf + 127 0.850 * * [simplify]: Extracting #4: cost 167 inf + 757 0.851 * * [simplify]: Extracting #5: cost 128 inf + 8823 0.862 * * [simplify]: Extracting #6: cost 66 inf + 32884 0.884 * * [simplify]: Extracting #7: cost 11 inf + 72601 0.898 * * [simplify]: Extracting #8: cost 0 inf + 82982 0.911 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.911 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.918 * * [progress]: iteration 1 / 4 0.918 * * * [progress]: picking best candidate 0.927 * * * * [pick]: Picked # 0.927 * * * [progress]: localizing error 0.962 * * * [progress]: generating rewritten candidates 0.962 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.980 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 1.001 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.017 * * * [progress]: generating series expansions 1.017 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.018 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 1.018 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 1.018 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1.018 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1.018 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1.018 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1.018 * [taylor]: Taking taylor expansion of 1/2 in k 1.018 * [backup-simplify]: Simplify 1/2 into 1/2 1.018 * [taylor]: Taking taylor expansion of (- 1 k) in k 1.018 * [taylor]: Taking taylor expansion of 1 in k 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [taylor]: Taking taylor expansion of k in k 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 1.018 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 1.018 * [taylor]: Taking taylor expansion of 2 in k 1.018 * [backup-simplify]: Simplify 2 into 2 1.018 * [taylor]: Taking taylor expansion of (* n PI) in k 1.018 * [taylor]: Taking taylor expansion of n in k 1.018 * [backup-simplify]: Simplify n into n 1.018 * [taylor]: Taking taylor expansion of PI in k 1.018 * [backup-simplify]: Simplify PI into PI 1.018 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.018 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1.018 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1.018 * [backup-simplify]: Simplify (- 0) into 0 1.019 * [backup-simplify]: Simplify (+ 1 0) into 1 1.019 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.019 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1.019 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1.019 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1.019 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1.019 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1.019 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1.019 * [taylor]: Taking taylor expansion of 1/2 in n 1.019 * [backup-simplify]: Simplify 1/2 into 1/2 1.019 * [taylor]: Taking taylor expansion of (- 1 k) in n 1.019 * [taylor]: Taking taylor expansion of 1 in n 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [taylor]: Taking taylor expansion of k in n 1.019 * [backup-simplify]: Simplify k into k 1.019 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.019 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.019 * [taylor]: Taking taylor expansion of 2 in n 1.019 * [backup-simplify]: Simplify 2 into 2 1.019 * [taylor]: Taking taylor expansion of (* n PI) in n 1.019 * [taylor]: Taking taylor expansion of n in n 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [taylor]: Taking taylor expansion of PI in n 1.019 * [backup-simplify]: Simplify PI into PI 1.020 * [backup-simplify]: Simplify (* 0 PI) into 0 1.020 * [backup-simplify]: Simplify (* 2 0) into 0 1.021 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.022 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.022 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.022 * [backup-simplify]: Simplify (- k) into (- k) 1.022 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 1.023 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1.023 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.024 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1.025 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1.025 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1.025 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1.025 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1.025 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1.025 * [taylor]: Taking taylor expansion of 1/2 in n 1.025 * [backup-simplify]: Simplify 1/2 into 1/2 1.025 * [taylor]: Taking taylor expansion of (- 1 k) in n 1.025 * [taylor]: Taking taylor expansion of 1 in n 1.025 * [backup-simplify]: Simplify 1 into 1 1.025 * [taylor]: Taking taylor expansion of k in n 1.025 * [backup-simplify]: Simplify k into k 1.025 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.025 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.025 * [taylor]: Taking taylor expansion of 2 in n 1.025 * [backup-simplify]: Simplify 2 into 2 1.025 * [taylor]: Taking taylor expansion of (* n PI) in n 1.025 * [taylor]: Taking taylor expansion of n in n 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 1 into 1 1.025 * [taylor]: Taking taylor expansion of PI in n 1.025 * [backup-simplify]: Simplify PI into PI 1.025 * [backup-simplify]: Simplify (* 0 PI) into 0 1.026 * [backup-simplify]: Simplify (* 2 0) into 0 1.026 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.027 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.028 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.028 * [backup-simplify]: Simplify (- k) into (- k) 1.028 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 1.028 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1.029 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.029 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1.030 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1.030 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 1.030 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 1.030 * [taylor]: Taking taylor expansion of 1/2 in k 1.030 * [backup-simplify]: Simplify 1/2 into 1/2 1.030 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 1.030 * [taylor]: Taking taylor expansion of (- 1 k) in k 1.030 * [taylor]: Taking taylor expansion of 1 in k 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * [taylor]: Taking taylor expansion of k in k 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1.030 * [taylor]: Taking taylor expansion of (log n) in k 1.030 * [taylor]: Taking taylor expansion of n in k 1.030 * [backup-simplify]: Simplify n into n 1.031 * [backup-simplify]: Simplify (log n) into (log n) 1.031 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.031 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.031 * [taylor]: Taking taylor expansion of 2 in k 1.031 * [backup-simplify]: Simplify 2 into 2 1.031 * [taylor]: Taking taylor expansion of PI in k 1.031 * [backup-simplify]: Simplify PI into PI 1.031 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.031 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.032 * [backup-simplify]: Simplify (- 0) into 0 1.032 * [backup-simplify]: Simplify (+ 1 0) into 1 1.033 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.033 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 1.034 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1.034 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1.035 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.036 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1.037 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.038 * [backup-simplify]: Simplify (- 0) into 0 1.038 * [backup-simplify]: Simplify (+ 0 0) into 0 1.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 1.039 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.040 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1.042 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.042 * [taylor]: Taking taylor expansion of 0 in k 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.043 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.044 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.045 * [backup-simplify]: Simplify (+ 0 0) into 0 1.045 * [backup-simplify]: Simplify (- 1) into -1 1.045 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.046 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 1.047 * [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))))) 1.049 * [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))))))) 1.051 * [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))))))) 1.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.055 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.057 * [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 1.057 * [backup-simplify]: Simplify (- 0) into 0 1.057 * [backup-simplify]: Simplify (+ 0 0) into 0 1.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 1.059 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.060 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.061 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.061 * [taylor]: Taking taylor expansion of 0 in k 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.063 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.064 * [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 1.065 * [backup-simplify]: Simplify (+ 0 0) into 0 1.065 * [backup-simplify]: Simplify (- 0) into 0 1.065 * [backup-simplify]: Simplify (+ 0 0) into 0 1.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.068 * [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))))) 1.073 * [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))))) 1.081 * [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))))) 1.082 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 1.082 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 1.082 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.082 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.082 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.082 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.082 * [taylor]: Taking taylor expansion of 1/2 in k 1.082 * [backup-simplify]: Simplify 1/2 into 1/2 1.082 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.082 * [taylor]: Taking taylor expansion of 1 in k 1.082 * [backup-simplify]: Simplify 1 into 1 1.082 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.082 * [taylor]: Taking taylor expansion of k in k 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 1 into 1 1.083 * [backup-simplify]: Simplify (/ 1 1) into 1 1.083 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.083 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.083 * [taylor]: Taking taylor expansion of 2 in k 1.083 * [backup-simplify]: Simplify 2 into 2 1.083 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.083 * [taylor]: Taking taylor expansion of PI in k 1.083 * [backup-simplify]: Simplify PI into PI 1.083 * [taylor]: Taking taylor expansion of n in k 1.083 * [backup-simplify]: Simplify n into n 1.083 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.083 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.083 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.084 * [backup-simplify]: Simplify (- 1) into -1 1.084 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.085 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.085 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.085 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.085 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.085 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.085 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.085 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.085 * [taylor]: Taking taylor expansion of 1/2 in n 1.085 * [backup-simplify]: Simplify 1/2 into 1/2 1.085 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.085 * [taylor]: Taking taylor expansion of 1 in n 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.085 * [taylor]: Taking taylor expansion of k in n 1.085 * [backup-simplify]: Simplify k into k 1.085 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.085 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.085 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.085 * [taylor]: Taking taylor expansion of 2 in n 1.085 * [backup-simplify]: Simplify 2 into 2 1.085 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.085 * [taylor]: Taking taylor expansion of PI in n 1.086 * [backup-simplify]: Simplify PI into PI 1.086 * [taylor]: Taking taylor expansion of n in n 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 1 into 1 1.086 * [backup-simplify]: Simplify (/ PI 1) into PI 1.087 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.087 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.088 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.088 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.088 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.089 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.090 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.091 * [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))))) 1.091 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.091 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.091 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.091 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.091 * [taylor]: Taking taylor expansion of 1/2 in n 1.091 * [backup-simplify]: Simplify 1/2 into 1/2 1.091 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.091 * [taylor]: Taking taylor expansion of 1 in n 1.091 * [backup-simplify]: Simplify 1 into 1 1.092 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.092 * [taylor]: Taking taylor expansion of k in n 1.092 * [backup-simplify]: Simplify k into k 1.092 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.092 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.092 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.092 * [taylor]: Taking taylor expansion of 2 in n 1.092 * [backup-simplify]: Simplify 2 into 2 1.092 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.092 * [taylor]: Taking taylor expansion of PI in n 1.092 * [backup-simplify]: Simplify PI into PI 1.092 * [taylor]: Taking taylor expansion of n in n 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify (/ PI 1) into PI 1.093 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.094 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.094 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.094 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.094 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.095 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.096 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.098 * [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))))) 1.098 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.098 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.098 * [taylor]: Taking taylor expansion of 1/2 in k 1.098 * [backup-simplify]: Simplify 1/2 into 1/2 1.098 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.098 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.098 * [taylor]: Taking taylor expansion of 1 in k 1.098 * [backup-simplify]: Simplify 1 into 1 1.098 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.098 * [taylor]: Taking taylor expansion of k in k 1.098 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify 1 into 1 1.098 * [backup-simplify]: Simplify (/ 1 1) into 1 1.098 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.098 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.098 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.098 * [taylor]: Taking taylor expansion of 2 in k 1.098 * [backup-simplify]: Simplify 2 into 2 1.098 * [taylor]: Taking taylor expansion of PI in k 1.098 * [backup-simplify]: Simplify PI into PI 1.099 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.100 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.100 * [taylor]: Taking taylor expansion of (log n) in k 1.100 * [taylor]: Taking taylor expansion of n in k 1.100 * [backup-simplify]: Simplify n into n 1.100 * [backup-simplify]: Simplify (log n) into (log n) 1.100 * [backup-simplify]: Simplify (- 1) into -1 1.101 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.101 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.102 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.103 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.104 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.105 * [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))))) 1.107 * [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))))) 1.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.108 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.111 * [backup-simplify]: Simplify (- 0) into 0 1.111 * [backup-simplify]: Simplify (+ 0 0) into 0 1.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.113 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.115 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.116 * [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 1.119 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.122 * [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 1.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.123 * [backup-simplify]: Simplify (- 0) into 0 1.123 * [backup-simplify]: Simplify (+ 0 0) into 0 1.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.125 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.127 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.129 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.129 * [taylor]: Taking taylor expansion of 0 in k 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.132 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.138 * [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 1.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.139 * [backup-simplify]: Simplify (- 0) into 0 1.139 * [backup-simplify]: Simplify (+ 0 0) into 0 1.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.142 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.144 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.145 * [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 1.145 * [taylor]: Taking taylor expansion of 0 in k 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 0 into 0 1.146 * [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)))))) 1.146 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 1.146 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 1.146 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.146 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.146 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.146 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.146 * [taylor]: Taking taylor expansion of 1/2 in k 1.147 * [backup-simplify]: Simplify 1/2 into 1/2 1.147 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.147 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.147 * [taylor]: Taking taylor expansion of k in k 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 1 into 1 1.147 * [backup-simplify]: Simplify (/ 1 1) into 1 1.147 * [taylor]: Taking taylor expansion of 1 in k 1.147 * [backup-simplify]: Simplify 1 into 1 1.147 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.147 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.147 * [taylor]: Taking taylor expansion of -2 in k 1.147 * [backup-simplify]: Simplify -2 into -2 1.147 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.147 * [taylor]: Taking taylor expansion of PI in k 1.147 * [backup-simplify]: Simplify PI into PI 1.147 * [taylor]: Taking taylor expansion of n in k 1.147 * [backup-simplify]: Simplify n into n 1.147 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.147 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.147 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.147 * [backup-simplify]: Simplify (+ 1 0) into 1 1.148 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.148 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.148 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.148 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.148 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.148 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.148 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.148 * [taylor]: Taking taylor expansion of 1/2 in n 1.148 * [backup-simplify]: Simplify 1/2 into 1/2 1.148 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.148 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.148 * [taylor]: Taking taylor expansion of k in n 1.148 * [backup-simplify]: Simplify k into k 1.148 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.148 * [taylor]: Taking taylor expansion of 1 in n 1.148 * [backup-simplify]: Simplify 1 into 1 1.148 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.148 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.148 * [taylor]: Taking taylor expansion of -2 in n 1.148 * [backup-simplify]: Simplify -2 into -2 1.148 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.148 * [taylor]: Taking taylor expansion of PI in n 1.148 * [backup-simplify]: Simplify PI into PI 1.148 * [taylor]: Taking taylor expansion of n in n 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 1 into 1 1.149 * [backup-simplify]: Simplify (/ PI 1) into PI 1.149 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.149 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.149 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.150 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.150 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.151 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.152 * [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))))) 1.152 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.152 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.152 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.152 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.152 * [taylor]: Taking taylor expansion of 1/2 in n 1.152 * [backup-simplify]: Simplify 1/2 into 1/2 1.152 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.152 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.152 * [taylor]: Taking taylor expansion of k in n 1.152 * [backup-simplify]: Simplify k into k 1.152 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.152 * [taylor]: Taking taylor expansion of 1 in n 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.152 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.152 * [taylor]: Taking taylor expansion of -2 in n 1.152 * [backup-simplify]: Simplify -2 into -2 1.152 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.152 * [taylor]: Taking taylor expansion of PI in n 1.152 * [backup-simplify]: Simplify PI into PI 1.152 * [taylor]: Taking taylor expansion of n in n 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.153 * [backup-simplify]: Simplify (/ PI 1) into PI 1.153 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.153 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.154 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.154 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.154 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.155 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.156 * [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))))) 1.156 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.156 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.156 * [taylor]: Taking taylor expansion of 1/2 in k 1.156 * [backup-simplify]: Simplify 1/2 into 1/2 1.156 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.156 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.156 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.156 * [taylor]: Taking taylor expansion of k in k 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.156 * [backup-simplify]: Simplify (/ 1 1) into 1 1.156 * [taylor]: Taking taylor expansion of 1 in k 1.156 * [backup-simplify]: Simplify 1 into 1 1.156 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.156 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.156 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.156 * [taylor]: Taking taylor expansion of -2 in k 1.156 * [backup-simplify]: Simplify -2 into -2 1.156 * [taylor]: Taking taylor expansion of PI in k 1.156 * [backup-simplify]: Simplify PI into PI 1.157 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.157 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.157 * [taylor]: Taking taylor expansion of (log n) in k 1.157 * [taylor]: Taking taylor expansion of n in k 1.157 * [backup-simplify]: Simplify n into n 1.157 * [backup-simplify]: Simplify (log n) into (log n) 1.158 * [backup-simplify]: Simplify (+ 1 0) into 1 1.158 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.158 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.159 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.160 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.160 * [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))))) 1.161 * [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))))) 1.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.162 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.164 * [backup-simplify]: Simplify (+ 0 0) into 0 1.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.166 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.167 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.168 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.168 * [taylor]: Taking taylor expansion of 0 in k 1.168 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.173 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.177 * [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 1.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.178 * [backup-simplify]: Simplify (+ 0 0) into 0 1.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.180 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.181 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.184 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.184 * [taylor]: Taking taylor expansion of 0 in k 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.185 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.188 * [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 1.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.189 * [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)) 1.191 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1.193 * [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 1.193 * [taylor]: Taking taylor expansion of 0 in k 1.193 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify 0 into 0 1.194 * [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)))))) 1.194 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 1.194 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 1.194 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1.194 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.194 * [taylor]: Taking taylor expansion of 2 in n 1.194 * [backup-simplify]: Simplify 2 into 2 1.194 * [taylor]: Taking taylor expansion of (* n PI) in n 1.194 * [taylor]: Taking taylor expansion of n in n 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [taylor]: Taking taylor expansion of PI in n 1.194 * [backup-simplify]: Simplify PI into PI 1.194 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.194 * [taylor]: Taking taylor expansion of 2 in n 1.194 * [backup-simplify]: Simplify 2 into 2 1.194 * [taylor]: Taking taylor expansion of (* n PI) in n 1.194 * [taylor]: Taking taylor expansion of n in n 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [taylor]: Taking taylor expansion of PI in n 1.195 * [backup-simplify]: Simplify PI into PI 1.195 * [backup-simplify]: Simplify (* 0 PI) into 0 1.195 * [backup-simplify]: Simplify (* 2 0) into 0 1.195 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.197 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.197 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.198 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.199 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.200 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.202 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.203 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1.203 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.205 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1.205 * [backup-simplify]: Simplify 0 into 0 1.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1.207 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1.207 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1.208 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 1.208 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1.208 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.208 * [taylor]: Taking taylor expansion of 2 in n 1.208 * [backup-simplify]: Simplify 2 into 2 1.208 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.208 * [taylor]: Taking taylor expansion of PI in n 1.208 * [backup-simplify]: Simplify PI into PI 1.208 * [taylor]: Taking taylor expansion of n in n 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 1 into 1 1.208 * [backup-simplify]: Simplify (/ PI 1) into PI 1.208 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.208 * [taylor]: Taking taylor expansion of 2 in n 1.208 * [backup-simplify]: Simplify 2 into 2 1.208 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.208 * [taylor]: Taking taylor expansion of PI in n 1.208 * [backup-simplify]: Simplify PI into PI 1.209 * [taylor]: Taking taylor expansion of n in n 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 1 into 1 1.209 * [backup-simplify]: Simplify (/ PI 1) into PI 1.209 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.209 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.210 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.210 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.214 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.215 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.215 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.216 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.216 * [backup-simplify]: Simplify 0 into 0 1.217 * [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 1.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1.219 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 1.219 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1.219 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.219 * [taylor]: Taking taylor expansion of -2 in n 1.219 * [backup-simplify]: Simplify -2 into -2 1.219 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.219 * [taylor]: Taking taylor expansion of PI in n 1.219 * [backup-simplify]: Simplify PI into PI 1.219 * [taylor]: Taking taylor expansion of n in n 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.219 * [backup-simplify]: Simplify (/ PI 1) into PI 1.219 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.219 * [taylor]: Taking taylor expansion of -2 in n 1.219 * [backup-simplify]: Simplify -2 into -2 1.219 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.219 * [taylor]: Taking taylor expansion of PI in n 1.219 * [backup-simplify]: Simplify PI into PI 1.219 * [taylor]: Taking taylor expansion of n in n 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (/ PI 1) into PI 1.220 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.220 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.221 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.222 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.222 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.224 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.225 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.225 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.226 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [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 1.228 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1.229 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.229 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 1.229 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 1.229 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 1.229 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1.229 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1.229 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1.229 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1.229 * [taylor]: Taking taylor expansion of 1/2 in k 1.229 * [backup-simplify]: Simplify 1/2 into 1/2 1.229 * [taylor]: Taking taylor expansion of (- 1 k) in k 1.229 * [taylor]: Taking taylor expansion of 1 in k 1.229 * [backup-simplify]: Simplify 1 into 1 1.229 * [taylor]: Taking taylor expansion of k in k 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 1 into 1 1.229 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 1.229 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 1.229 * [taylor]: Taking taylor expansion of 2 in k 1.229 * [backup-simplify]: Simplify 2 into 2 1.229 * [taylor]: Taking taylor expansion of (* n PI) in k 1.229 * [taylor]: Taking taylor expansion of n in k 1.229 * [backup-simplify]: Simplify n into n 1.229 * [taylor]: Taking taylor expansion of PI in k 1.229 * [backup-simplify]: Simplify PI into PI 1.229 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.229 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1.229 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1.230 * [backup-simplify]: Simplify (- 0) into 0 1.230 * [backup-simplify]: Simplify (+ 1 0) into 1 1.230 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.230 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1.230 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1.230 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.230 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.230 * [taylor]: Taking taylor expansion of k in k 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify (/ 1 1) into 1 1.231 * [backup-simplify]: Simplify (sqrt 0) into 0 1.232 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.232 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 1.232 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1.232 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1.232 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1.232 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1.232 * [taylor]: Taking taylor expansion of 1/2 in n 1.232 * [backup-simplify]: Simplify 1/2 into 1/2 1.232 * [taylor]: Taking taylor expansion of (- 1 k) in n 1.232 * [taylor]: Taking taylor expansion of 1 in n 1.232 * [backup-simplify]: Simplify 1 into 1 1.232 * [taylor]: Taking taylor expansion of k in n 1.232 * [backup-simplify]: Simplify k into k 1.232 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.232 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.232 * [taylor]: Taking taylor expansion of 2 in n 1.232 * [backup-simplify]: Simplify 2 into 2 1.232 * [taylor]: Taking taylor expansion of (* n PI) in n 1.232 * [taylor]: Taking taylor expansion of n in n 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 1 into 1 1.232 * [taylor]: Taking taylor expansion of PI in n 1.232 * [backup-simplify]: Simplify PI into PI 1.233 * [backup-simplify]: Simplify (* 0 PI) into 0 1.233 * [backup-simplify]: Simplify (* 2 0) into 0 1.234 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.235 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.235 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.235 * [backup-simplify]: Simplify (- k) into (- k) 1.235 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 1.235 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1.236 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.237 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1.238 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1.238 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.238 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.238 * [taylor]: Taking taylor expansion of k in n 1.238 * [backup-simplify]: Simplify k into k 1.238 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.238 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1.238 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 1.238 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1.238 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1.238 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1.238 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1.238 * [taylor]: Taking taylor expansion of 1/2 in n 1.238 * [backup-simplify]: Simplify 1/2 into 1/2 1.238 * [taylor]: Taking taylor expansion of (- 1 k) in n 1.238 * [taylor]: Taking taylor expansion of 1 in n 1.238 * [backup-simplify]: Simplify 1 into 1 1.238 * [taylor]: Taking taylor expansion of k in n 1.238 * [backup-simplify]: Simplify k into k 1.238 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.238 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.238 * [taylor]: Taking taylor expansion of 2 in n 1.238 * [backup-simplify]: Simplify 2 into 2 1.238 * [taylor]: Taking taylor expansion of (* n PI) in n 1.238 * [taylor]: Taking taylor expansion of n in n 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.238 * [taylor]: Taking taylor expansion of PI in n 1.238 * [backup-simplify]: Simplify PI into PI 1.239 * [backup-simplify]: Simplify (* 0 PI) into 0 1.239 * [backup-simplify]: Simplify (* 2 0) into 0 1.240 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.241 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.241 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.241 * [backup-simplify]: Simplify (- k) into (- k) 1.241 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 1.241 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1.242 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.243 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1.244 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1.244 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.244 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.244 * [taylor]: Taking taylor expansion of k in n 1.244 * [backup-simplify]: Simplify k into k 1.244 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.244 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1.245 * [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))) 1.245 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 1.245 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 1.245 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 1.245 * [taylor]: Taking taylor expansion of 1/2 in k 1.245 * [backup-simplify]: Simplify 1/2 into 1/2 1.245 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 1.245 * [taylor]: Taking taylor expansion of (- 1 k) in k 1.245 * [taylor]: Taking taylor expansion of 1 in k 1.245 * [backup-simplify]: Simplify 1 into 1 1.245 * [taylor]: Taking taylor expansion of k in k 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 1 into 1 1.245 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1.245 * [taylor]: Taking taylor expansion of (log n) in k 1.245 * [taylor]: Taking taylor expansion of n in k 1.245 * [backup-simplify]: Simplify n into n 1.245 * [backup-simplify]: Simplify (log n) into (log n) 1.245 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.245 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.245 * [taylor]: Taking taylor expansion of 2 in k 1.245 * [backup-simplify]: Simplify 2 into 2 1.245 * [taylor]: Taking taylor expansion of PI in k 1.245 * [backup-simplify]: Simplify PI into PI 1.245 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.246 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.246 * [backup-simplify]: Simplify (- 0) into 0 1.247 * [backup-simplify]: Simplify (+ 1 0) into 1 1.247 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.248 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 1.248 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1.249 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1.249 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.249 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.249 * [taylor]: Taking taylor expansion of k in k 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 1 into 1 1.249 * [backup-simplify]: Simplify (/ 1 1) into 1 1.250 * [backup-simplify]: Simplify (sqrt 0) into 0 1.250 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.251 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1.251 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.253 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.255 * [backup-simplify]: Simplify (- 0) into 0 1.256 * [backup-simplify]: Simplify (+ 0 0) into 0 1.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 1.258 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.259 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1.261 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.262 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1.262 * [taylor]: Taking taylor expansion of 0 in k 1.262 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.264 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.266 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.266 * [backup-simplify]: Simplify (+ 0 0) into 0 1.266 * [backup-simplify]: Simplify (- 1) into -1 1.267 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.268 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 1.270 * [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))))) 1.276 * [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))))))) 1.281 * [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))))))) 1.282 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.283 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.285 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.289 * [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 1.289 * [backup-simplify]: Simplify (- 0) into 0 1.289 * [backup-simplify]: Simplify (+ 0 0) into 0 1.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 1.292 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.292 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.294 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.295 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1.295 * [taylor]: Taking taylor expansion of 0 in k 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.297 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.298 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.299 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) 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 0) into 0 1.301 * [backup-simplify]: Simplify (- 0) into 0 1.302 * [backup-simplify]: Simplify (+ 0 0) into 0 1.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.306 * [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))))) 1.312 * [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)))))))) 1.314 * [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)))))))) 1.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1.316 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.317 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.320 * [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 1.321 * [backup-simplify]: Simplify (- 0) into 0 1.321 * [backup-simplify]: Simplify (+ 0 0) into 0 1.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 1.324 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.326 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.328 * [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 1.330 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1.330 * [taylor]: Taking taylor expansion of 0 in k 1.330 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.338 * [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 1.340 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.345 * [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 1.346 * [backup-simplify]: Simplify (+ 0 0) into 0 1.346 * [backup-simplify]: Simplify (- 0) into 0 1.347 * [backup-simplify]: Simplify (+ 0 0) into 0 1.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.355 * [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))))))) 1.365 * [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)))))))))))))) 1.372 * [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)))))))))))))) 1.386 * [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)))))))))))))))))))))) 1.387 * [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)) 1.387 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.387 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.387 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.387 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.388 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.388 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.388 * [taylor]: Taking taylor expansion of 1/2 in k 1.388 * [backup-simplify]: Simplify 1/2 into 1/2 1.388 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.388 * [taylor]: Taking taylor expansion of 1 in k 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.388 * [taylor]: Taking taylor expansion of k in k 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify (/ 1 1) into 1 1.388 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.388 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.388 * [taylor]: Taking taylor expansion of 2 in k 1.388 * [backup-simplify]: Simplify 2 into 2 1.388 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.388 * [taylor]: Taking taylor expansion of PI in k 1.388 * [backup-simplify]: Simplify PI into PI 1.388 * [taylor]: Taking taylor expansion of n in k 1.388 * [backup-simplify]: Simplify n into n 1.388 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.389 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.389 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.389 * [backup-simplify]: Simplify (- 1) into -1 1.389 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.390 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.390 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.390 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.390 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.390 * [taylor]: Taking taylor expansion of k in k 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (sqrt 0) into 0 1.392 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.392 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.392 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.392 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.392 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.392 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.392 * [taylor]: Taking taylor expansion of 1/2 in n 1.392 * [backup-simplify]: Simplify 1/2 into 1/2 1.392 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.392 * [taylor]: Taking taylor expansion of 1 in n 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.393 * [taylor]: Taking taylor expansion of k in n 1.393 * [backup-simplify]: Simplify k into k 1.393 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.393 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.393 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.393 * [taylor]: Taking taylor expansion of 2 in n 1.393 * [backup-simplify]: Simplify 2 into 2 1.393 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.393 * [taylor]: Taking taylor expansion of PI in n 1.393 * [backup-simplify]: Simplify PI into PI 1.393 * [taylor]: Taking taylor expansion of n in n 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 1 into 1 1.393 * [backup-simplify]: Simplify (/ PI 1) into PI 1.394 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.395 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.395 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.395 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.395 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.396 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.398 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.399 * [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))))) 1.399 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.399 * [taylor]: Taking taylor expansion of k in n 1.399 * [backup-simplify]: Simplify k into k 1.399 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.399 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.399 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.399 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.399 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.399 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.399 * [taylor]: Taking taylor expansion of 1/2 in n 1.399 * [backup-simplify]: Simplify 1/2 into 1/2 1.399 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.399 * [taylor]: Taking taylor expansion of 1 in n 1.399 * [backup-simplify]: Simplify 1 into 1 1.399 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.399 * [taylor]: Taking taylor expansion of k in n 1.399 * [backup-simplify]: Simplify k into k 1.400 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.400 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.400 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.400 * [taylor]: Taking taylor expansion of 2 in n 1.400 * [backup-simplify]: Simplify 2 into 2 1.400 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.400 * [taylor]: Taking taylor expansion of PI in n 1.400 * [backup-simplify]: Simplify PI into PI 1.400 * [taylor]: Taking taylor expansion of n in n 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 1 into 1 1.400 * [backup-simplify]: Simplify (/ PI 1) into PI 1.401 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.402 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.402 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.402 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.402 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.403 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.404 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.405 * [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) 1.410 * [backup-simplify]: Simplify (- 1) into -1 1.410 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.410 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.411 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.412 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.413 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.415 * [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))))) 1.415 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.415 * [taylor]: Taking taylor expansion of k in k 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [backup-simplify]: Simplify (sqrt 0) into 0 1.416 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.418 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.418 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.421 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.422 * [backup-simplify]: Simplify (- 0) into 0 1.422 * [backup-simplify]: Simplify (+ 0 0) into 0 1.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.424 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.425 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.427 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.429 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.429 * [taylor]: Taking taylor expansion of 0 in k 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 0 into 0 1.430 * [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))))))) 1.431 * [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))))))) 1.432 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.434 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.438 * [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 1.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.439 * [backup-simplify]: Simplify (- 0) into 0 1.439 * [backup-simplify]: Simplify (+ 0 0) into 0 1.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.441 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.443 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.445 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.447 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.447 * [taylor]: Taking taylor expansion of 0 in k 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.452 * [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))))))) 1.453 * [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))))))) 1.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.462 * [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 1.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.463 * [backup-simplify]: Simplify (- 0) into 0 1.463 * [backup-simplify]: Simplify (+ 0 0) into 0 1.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.466 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.468 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.471 * [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 1.473 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.473 * [taylor]: Taking taylor expansion of 0 in k 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.479 * [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))))))) 1.480 * [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))))))) 1.484 * [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)))))))) 1.485 * [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))) 1.485 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.485 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.485 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.485 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.485 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.485 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.485 * [taylor]: Taking taylor expansion of 1/2 in k 1.486 * [backup-simplify]: Simplify 1/2 into 1/2 1.486 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.486 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.486 * [taylor]: Taking taylor expansion of k in k 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (/ 1 1) into 1 1.486 * [taylor]: Taking taylor expansion of 1 in k 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.486 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.486 * [taylor]: Taking taylor expansion of -2 in k 1.486 * [backup-simplify]: Simplify -2 into -2 1.486 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.486 * [taylor]: Taking taylor expansion of PI in k 1.486 * [backup-simplify]: Simplify PI into PI 1.486 * [taylor]: Taking taylor expansion of n in k 1.486 * [backup-simplify]: Simplify n into n 1.486 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.486 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.487 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.487 * [backup-simplify]: Simplify (+ 1 0) into 1 1.487 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.488 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.488 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.488 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.488 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.488 * [taylor]: Taking taylor expansion of -1 in k 1.488 * [backup-simplify]: Simplify -1 into -1 1.488 * [taylor]: Taking taylor expansion of k in k 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify (/ -1 1) into -1 1.489 * [backup-simplify]: Simplify (sqrt 0) into 0 1.490 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.491 * [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))))) 1.491 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.491 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.491 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.491 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.491 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.491 * [taylor]: Taking taylor expansion of 1/2 in n 1.491 * [backup-simplify]: Simplify 1/2 into 1/2 1.491 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.491 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.491 * [taylor]: Taking taylor expansion of k in n 1.491 * [backup-simplify]: Simplify k into k 1.491 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.491 * [taylor]: Taking taylor expansion of 1 in n 1.491 * [backup-simplify]: Simplify 1 into 1 1.491 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.491 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.491 * [taylor]: Taking taylor expansion of -2 in n 1.491 * [backup-simplify]: Simplify -2 into -2 1.491 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.491 * [taylor]: Taking taylor expansion of PI in n 1.491 * [backup-simplify]: Simplify PI into PI 1.491 * [taylor]: Taking taylor expansion of n in n 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify 1 into 1 1.492 * [backup-simplify]: Simplify (/ PI 1) into PI 1.492 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.493 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.493 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.493 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.495 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.496 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.497 * [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))))) 1.497 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.497 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.497 * [taylor]: Taking taylor expansion of -1 in n 1.497 * [backup-simplify]: Simplify -1 into -1 1.497 * [taylor]: Taking taylor expansion of k in n 1.497 * [backup-simplify]: Simplify k into k 1.497 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.497 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.497 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.499 * [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))) 1.499 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.499 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.499 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.499 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.499 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.499 * [taylor]: Taking taylor expansion of 1/2 in n 1.499 * [backup-simplify]: Simplify 1/2 into 1/2 1.499 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.499 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.499 * [taylor]: Taking taylor expansion of k in n 1.499 * [backup-simplify]: Simplify k into k 1.499 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.499 * [taylor]: Taking taylor expansion of 1 in n 1.499 * [backup-simplify]: Simplify 1 into 1 1.499 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.499 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.499 * [taylor]: Taking taylor expansion of -2 in n 1.499 * [backup-simplify]: Simplify -2 into -2 1.499 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.499 * [taylor]: Taking taylor expansion of PI in n 1.499 * [backup-simplify]: Simplify PI into PI 1.499 * [taylor]: Taking taylor expansion of n in n 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (/ PI 1) into PI 1.500 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.501 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.501 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.501 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.503 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.504 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.505 * [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))))) 1.505 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.506 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.506 * [taylor]: Taking taylor expansion of -1 in n 1.506 * [backup-simplify]: Simplify -1 into -1 1.506 * [taylor]: Taking taylor expansion of k in n 1.506 * [backup-simplify]: Simplify k into k 1.506 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.506 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.506 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.507 * [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))) 1.507 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.507 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.507 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.507 * [taylor]: Taking taylor expansion of 1/2 in k 1.507 * [backup-simplify]: Simplify 1/2 into 1/2 1.507 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.508 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.508 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.508 * [taylor]: Taking taylor expansion of k in k 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 1 into 1 1.508 * [backup-simplify]: Simplify (/ 1 1) into 1 1.508 * [taylor]: Taking taylor expansion of 1 in k 1.508 * [backup-simplify]: Simplify 1 into 1 1.508 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.508 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.508 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.508 * [taylor]: Taking taylor expansion of -2 in k 1.508 * [backup-simplify]: Simplify -2 into -2 1.508 * [taylor]: Taking taylor expansion of PI in k 1.508 * [backup-simplify]: Simplify PI into PI 1.509 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.510 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.510 * [taylor]: Taking taylor expansion of (log n) in k 1.510 * [taylor]: Taking taylor expansion of n in k 1.510 * [backup-simplify]: Simplify n into n 1.510 * [backup-simplify]: Simplify (log n) into (log n) 1.510 * [backup-simplify]: Simplify (+ 1 0) into 1 1.510 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.511 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.512 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.513 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.514 * [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))))) 1.514 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.514 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.514 * [taylor]: Taking taylor expansion of -1 in k 1.515 * [backup-simplify]: Simplify -1 into -1 1.515 * [taylor]: Taking taylor expansion of k in k 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 1 into 1 1.517 * [backup-simplify]: Simplify (/ -1 1) into -1 1.518 * [backup-simplify]: Simplify (sqrt 0) into 0 1.519 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.521 * [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)))))) 1.522 * [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)))))) 1.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.525 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.526 * [backup-simplify]: Simplify (+ 0 0) into 0 1.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.528 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.529 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.531 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.532 * [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 1.532 * [taylor]: Taking taylor expansion of 0 in k 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.534 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.536 * [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))))))) 1.537 * [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))))))) 1.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.538 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.540 * [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 1.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.540 * [backup-simplify]: Simplify (+ 0 0) into 0 1.541 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.542 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.543 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.544 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.544 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.545 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.546 * [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 1.546 * [taylor]: Taking taylor expansion of 0 in k 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.551 * [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))))))) 1.552 * [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))))))) 1.554 * [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)))))))))))) 1.554 * * * [progress]: simplifying candidates 1.554 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 1.555 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.555 * * [simplify]: iters left: 6 (13 enodes) 1.558 * * [simplify]: iters left: 5 (54 enodes) 1.570 * * [simplify]: iters left: 4 (97 enodes) 1.601 * * [simplify]: iters left: 3 (244 enodes) 1.690 * * [simplify]: Extracting #0: cost 1 inf + 0 1.690 * * [simplify]: Extracting #1: cost 31 inf + 0 1.690 * * [simplify]: Extracting #2: cost 128 inf + 2 1.691 * * [simplify]: Extracting #3: cost 162 inf + 1217 1.692 * * [simplify]: Extracting #4: cost 110 inf + 9712 1.698 * * [simplify]: Extracting #5: cost 12 inf + 38675 1.712 * * [simplify]: Extracting #6: cost 0 inf + 42408 1.729 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.729 * [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))) 1.729 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 1.729 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.729 * * [simplify]: iters left: 6 (12 enodes) 1.733 * * [simplify]: iters left: 5 (52 enodes) 1.742 * * [simplify]: iters left: 4 (90 enodes) 1.764 * * [simplify]: iters left: 3 (203 enodes) 1.839 * * [simplify]: Extracting #0: cost 1 inf + 0 1.839 * * [simplify]: Extracting #1: cost 29 inf + 0 1.840 * * [simplify]: Extracting #2: cost 112 inf + 2 1.841 * * [simplify]: Extracting #3: cost 149 inf + 341 1.843 * * [simplify]: Extracting #4: cost 110 inf + 5554 1.850 * * [simplify]: Extracting #5: cost 30 inf + 23496 1.862 * * [simplify]: Extracting #6: cost 1 inf + 31878 1.869 * * [simplify]: Extracting #7: cost 0 inf + 32142 1.874 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 1.875 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 1.875 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 1.875 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.875 * * [simplify]: iters left: 6 (11 enodes) 1.879 * * [simplify]: iters left: 5 (51 enodes) 1.887 * * [simplify]: iters left: 4 (97 enodes) 1.904 * * [simplify]: iters left: 3 (199 enodes) 1.956 * * [simplify]: Extracting #0: cost 1 inf + 0 1.957 * * [simplify]: Extracting #1: cost 32 inf + 0 1.957 * * [simplify]: Extracting #2: cost 113 inf + 2 1.958 * * [simplify]: Extracting #3: cost 154 inf + 200 1.960 * * [simplify]: Extracting #4: cost 123 inf + 3386 1.965 * * [simplify]: Extracting #5: cost 47 inf + 17339 1.975 * * [simplify]: Extracting #6: cost 3 inf + 27690 1.986 * * [simplify]: Extracting #7: cost 0 inf + 28612 1.997 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 1.997 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 1.997 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 1.998 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.998 * * [simplify]: iters left: 6 (11 enodes) 2.005 * * [simplify]: iters left: 5 (51 enodes) 2.025 * * [simplify]: iters left: 4 (97 enodes) 2.052 * * [simplify]: iters left: 3 (199 enodes) 2.112 * * [simplify]: Extracting #0: cost 1 inf + 0 2.112 * * [simplify]: Extracting #1: cost 32 inf + 0 2.112 * * [simplify]: Extracting #2: cost 113 inf + 2 2.113 * * [simplify]: Extracting #3: cost 154 inf + 200 2.114 * * [simplify]: Extracting #4: cost 123 inf + 3386 2.116 * * [simplify]: Extracting #5: cost 47 inf + 17339 2.121 * * [simplify]: Extracting #6: cost 3 inf + 27690 2.127 * * [simplify]: Extracting #7: cost 0 inf + 28612 2.138 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 2.138 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 2.138 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 2.139 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 2.139 * * [simplify]: iters left: 6 (6 enodes) 2.143 * * [simplify]: iters left: 5 (27 enodes) 2.153 * * [simplify]: iters left: 4 (47 enodes) 2.168 * * [simplify]: iters left: 3 (59 enodes) 2.179 * * [simplify]: iters left: 2 (77 enodes) 2.191 * * [simplify]: iters left: 1 (104 enodes) 2.215 * * [simplify]: Extracting #0: cost 1 inf + 0 2.216 * * [simplify]: Extracting #1: cost 9 inf + 0 2.216 * * [simplify]: Extracting #2: cost 18 inf + 3 2.216 * * [simplify]: Extracting #3: cost 15 inf + 131 2.219 * * [simplify]: Extracting #4: cost 2 inf + 962 2.220 * * [simplify]: Extracting #5: cost 0 inf + 1086 2.220 * [simplify]: Simplified to (* 1/2 (- 1 k)) 2.220 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt k))) 2.221 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 2.221 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 2.221 * * [simplify]: iters left: 6 (6 enodes) 2.225 * * [simplify]: iters left: 5 (27 enodes) 2.236 * * [simplify]: iters left: 4 (47 enodes) 2.250 * * [simplify]: iters left: 3 (59 enodes) 2.268 * * [simplify]: iters left: 2 (77 enodes) 2.282 * * [simplify]: iters left: 1 (104 enodes) 2.295 * * [simplify]: Extracting #0: cost 1 inf + 0 2.295 * * [simplify]: Extracting #1: cost 9 inf + 0 2.295 * * [simplify]: Extracting #2: cost 18 inf + 3 2.295 * * [simplify]: Extracting #3: cost 15 inf + 131 2.295 * * [simplify]: Extracting #4: cost 2 inf + 962 2.296 * * [simplify]: Extracting #5: cost 0 inf + 1086 2.296 * [simplify]: Simplified to (* 1/2 (- 1 k)) 2.296 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt k))) 2.296 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 2.296 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 2.296 * * [simplify]: iters left: 6 (6 enodes) 2.298 * * [simplify]: iters left: 5 (27 enodes) 2.304 * * [simplify]: iters left: 4 (47 enodes) 2.311 * * [simplify]: iters left: 3 (59 enodes) 2.322 * * [simplify]: iters left: 2 (77 enodes) 2.333 * * [simplify]: iters left: 1 (104 enodes) 2.346 * * [simplify]: Extracting #0: cost 1 inf + 0 2.346 * * [simplify]: Extracting #1: cost 9 inf + 0 2.346 * * [simplify]: Extracting #2: cost 18 inf + 3 2.346 * * [simplify]: Extracting #3: cost 15 inf + 131 2.347 * * [simplify]: Extracting #4: cost 2 inf + 962 2.347 * * [simplify]: Extracting #5: cost 0 inf + 1086 2.347 * [simplify]: Simplified to (* 1/2 (- 1 k)) 2.347 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt k))) 2.348 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 2.348 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 2.348 * * [simplify]: iters left: 5 (8 enodes) 2.351 * * [simplify]: iters left: 4 (35 enodes) 2.359 * * [simplify]: iters left: 3 (63 enodes) 2.372 * * [simplify]: iters left: 2 (108 enodes) 2.389 * * [simplify]: iters left: 1 (162 enodes) 2.436 * * [simplify]: Extracting #0: cost 1 inf + 0 2.436 * * [simplify]: Extracting #1: cost 12 inf + 0 2.436 * * [simplify]: Extracting #2: cost 40 inf + 2 2.437 * * [simplify]: Extracting #3: cost 40 inf + 9 2.437 * * [simplify]: Extracting #4: cost 25 inf + 2233 2.439 * * [simplify]: Extracting #5: cost 10 inf + 8991 2.443 * * [simplify]: Extracting #6: cost 0 inf + 14572 2.446 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 2.446 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k))) 2.446 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 2.446 * * [simplify]: iters left: 5 (8 enodes) 2.451 * * [simplify]: iters left: 4 (31 enodes) 2.461 * * [simplify]: iters left: 3 (51 enodes) 2.477 * * [simplify]: iters left: 2 (85 enodes) 2.505 * * [simplify]: iters left: 1 (152 enodes) 2.548 * * [simplify]: Extracting #0: cost 1 inf + 0 2.548 * * [simplify]: Extracting #1: cost 13 inf + 0 2.549 * * [simplify]: Extracting #2: cost 60 inf + 1 2.549 * * [simplify]: Extracting #3: cost 75 inf + 9 2.549 * * [simplify]: Extracting #4: cost 41 inf + 3220 2.551 * * [simplify]: Extracting #5: cost 16 inf + 10552 2.554 * * [simplify]: Extracting #6: cost 0 inf + 20904 2.556 * * [simplify]: Extracting #7: cost 0 inf + 20373 2.559 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 2.559 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 2.559 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 2.559 * [simplify]: Simplifying (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 2.559 * * [simplify]: iters left: 6 (12 enodes) 2.563 * * [simplify]: iters left: 5 (51 enodes) 2.572 * * [simplify]: iters left: 4 (79 enodes) 2.584 * * [simplify]: iters left: 3 (118 enodes) 2.603 * * [simplify]: iters left: 2 (199 enodes) 2.643 * * [simplify]: iters left: 1 (354 enodes) 2.819 * * [simplify]: Extracting #0: cost 1 inf + 0 2.819 * * [simplify]: Extracting #1: cost 27 inf + 0 2.819 * * [simplify]: Extracting #2: cost 112 inf + 1 2.821 * * [simplify]: Extracting #3: cost 194 inf + 175 2.822 * * [simplify]: Extracting #4: cost 203 inf + 429 2.824 * * [simplify]: Extracting #5: cost 208 inf + 429 2.826 * * [simplify]: Extracting #6: cost 200 inf + 1412 2.835 * * [simplify]: Extracting #7: cost 93 inf + 27530 2.862 * * [simplify]: Extracting #8: cost 23 inf + 71276 2.898 * * [simplify]: Extracting #9: cost 0 inf + 92839 2.934 * * [simplify]: Extracting #10: cost 0 inf + 91398 2.953 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 2.953 * [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))) 2.953 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 2.953 * [simplify]: Simplifying (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) 2.953 * * [simplify]: iters left: 6 (11 enodes) 2.957 * * [simplify]: iters left: 5 (48 enodes) 2.965 * * [simplify]: iters left: 4 (74 enodes) 2.986 * * [simplify]: iters left: 3 (105 enodes) 3.016 * * [simplify]: iters left: 2 (161 enodes) 3.051 * * [simplify]: iters left: 1 (278 enodes) 3.187 * * [simplify]: Extracting #0: cost 1 inf + 0 3.187 * * [simplify]: Extracting #1: cost 29 inf + 0 3.188 * * [simplify]: Extracting #2: cost 103 inf + 1 3.189 * * [simplify]: Extracting #3: cost 133 inf + 174 3.190 * * [simplify]: Extracting #4: cost 132 inf + 388 3.192 * * [simplify]: Extracting #5: cost 129 inf + 556 3.196 * * [simplify]: Extracting #6: cost 86 inf + 11351 3.205 * * [simplify]: Extracting #7: cost 50 inf + 25422 3.226 * * [simplify]: Extracting #8: cost 1 inf + 70565 3.249 * * [simplify]: Extracting #9: cost 0 inf + 71813 3.263 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) 3.264 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 3.264 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 3.264 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) 3.264 * * [simplify]: iters left: 6 (14 enodes) 3.269 * * [simplify]: iters left: 5 (59 enodes) 3.278 * * [simplify]: iters left: 4 (104 enodes) 3.311 * * [simplify]: iters left: 3 (186 enodes) 3.357 * * [simplify]: iters left: 2 (434 enodes) 3.613 * * [simplify]: Extracting #0: cost 1 inf + 0 3.613 * * [simplify]: Extracting #1: cost 12 inf + 0 3.613 * * [simplify]: Extracting #2: cost 112 inf + 1 3.615 * * [simplify]: Extracting #3: cost 232 inf + 215 3.617 * * [simplify]: Extracting #4: cost 230 inf + 1838 3.624 * * [simplify]: Extracting #5: cost 162 inf + 17856 3.645 * * [simplify]: Extracting #6: cost 33 inf + 62390 3.677 * * [simplify]: Extracting #7: cost 2 inf + 84429 3.708 * * [simplify]: Extracting #8: cost 0 inf + 84580 3.742 * * [simplify]: Extracting #9: cost 0 inf + 84291 3.773 * * [simplify]: Extracting #10: cost 0 inf + 84213 3.804 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 3.804 * [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))) 3.804 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 3.805 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) 3.805 * * [simplify]: iters left: 6 (13 enodes) 3.812 * * [simplify]: iters left: 5 (52 enodes) 3.827 * * [simplify]: iters left: 4 (82 enodes) 3.853 * * [simplify]: iters left: 3 (136 enodes) 3.902 * * [simplify]: iters left: 2 (272 enodes) 3.971 * * [simplify]: Extracting #0: cost 1 inf + 0 3.971 * * [simplify]: Extracting #1: cost 12 inf + 0 3.971 * * [simplify]: Extracting #2: cost 88 inf + 1 3.972 * * [simplify]: Extracting #3: cost 151 inf + 6 3.974 * * [simplify]: Extracting #4: cost 144 inf + 992 3.975 * * [simplify]: Extracting #5: cost 131 inf + 2339 3.982 * * [simplify]: Extracting #6: cost 59 inf + 21693 3.997 * * [simplify]: Extracting #7: cost 9 inf + 46808 4.016 * * [simplify]: Extracting #8: cost 0 inf + 55030 4.035 * * [simplify]: Extracting #9: cost 0 inf + 54610 4.055 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) 4.055 * [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))) 4.055 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 4.055 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 4.055 * * [simplify]: iters left: 6 (12 enodes) 4.062 * * [simplify]: iters left: 5 (47 enodes) 4.072 * * [simplify]: iters left: 4 (83 enodes) 4.087 * * [simplify]: iters left: 3 (123 enodes) 4.110 * * [simplify]: iters left: 2 (221 enodes) 4.189 * * [simplify]: iters left: 1 (473 enodes) 4.551 * * [simplify]: Extracting #0: cost 1 inf + 0 4.551 * * [simplify]: Extracting #1: cost 34 inf + 0 4.551 * * [simplify]: Extracting #2: cost 135 inf + 1 4.552 * * [simplify]: Extracting #3: cost 212 inf + 136 4.554 * * [simplify]: Extracting #4: cost 213 inf + 431 4.555 * * [simplify]: Extracting #5: cost 211 inf + 515 4.560 * * [simplify]: Extracting #6: cost 142 inf + 14322 4.569 * * [simplify]: Extracting #7: cost 51 inf + 52633 4.585 * * [simplify]: Extracting #8: cost 11 inf + 89338 4.608 * * [simplify]: Extracting #9: cost 0 inf + 103865 4.640 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) 4.640 * [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))) 4.641 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 4.641 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 4.641 * * [simplify]: iters left: 6 (13 enodes) 4.645 * * [simplify]: iters left: 5 (52 enodes) 4.656 * * [simplify]: iters left: 4 (80 enodes) 4.677 * * [simplify]: iters left: 3 (128 enodes) 4.706 * * [simplify]: iters left: 2 (246 enodes) 4.770 * * [simplify]: iters left: 1 (489 enodes) 5.125 * * [simplify]: Extracting #0: cost 1 inf + 0 5.125 * * [simplify]: Extracting #1: cost 30 inf + 0 5.126 * * [simplify]: Extracting #2: cost 204 inf + 1 5.128 * * [simplify]: Extracting #3: cost 422 inf + 743 5.130 * * [simplify]: Extracting #4: cost 379 inf + 9404 5.136 * * [simplify]: Extracting #5: cost 350 inf + 14022 5.153 * * [simplify]: Extracting #6: cost 172 inf + 57888 5.176 * * [simplify]: Extracting #7: cost 16 inf + 135359 5.224 * * [simplify]: Extracting #8: cost 0 inf + 150451 5.279 * * [simplify]: Extracting #9: cost 0 inf + 149971 5.334 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) 5.335 * [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))) 5.335 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 5.335 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) 5.335 * * [simplify]: iters left: 6 (12 enodes) 5.342 * * [simplify]: iters left: 5 (47 enodes) 5.356 * * [simplify]: iters left: 4 (71 enodes) 5.369 * * [simplify]: iters left: 3 (109 enodes) 5.391 * * [simplify]: iters left: 2 (192 enodes) 5.460 * * [simplify]: iters left: 1 (357 enodes) 5.679 * * [simplify]: Extracting #0: cost 1 inf + 0 5.679 * * [simplify]: Extracting #1: cost 29 inf + 0 5.680 * * [simplify]: Extracting #2: cost 135 inf + 1 5.682 * * [simplify]: Extracting #3: cost 251 inf + 255 5.685 * * [simplify]: Extracting #4: cost 225 inf + 3400 5.689 * * [simplify]: Extracting #5: cost 205 inf + 5445 5.698 * * [simplify]: Extracting #6: cost 122 inf + 23316 5.712 * * [simplify]: Extracting #7: cost 43 inf + 53612 5.729 * * [simplify]: Extracting #8: cost 2 inf + 92427 5.748 * * [simplify]: Extracting #9: cost 0 inf + 94805 5.776 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 5.776 * [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))) 5.776 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 5.776 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) 5.777 * * [simplify]: iters left: 6 (11 enodes) 5.780 * * [simplify]: iters left: 5 (42 enodes) 5.787 * * [simplify]: iters left: 4 (64 enodes) 5.797 * * [simplify]: iters left: 3 (98 enodes) 5.817 * * [simplify]: iters left: 2 (156 enodes) 5.873 * * [simplify]: iters left: 1 (280 enodes) 6.009 * * [simplify]: Extracting #0: cost 1 inf + 0 6.009 * * [simplify]: Extracting #1: cost 30 inf + 0 6.010 * * [simplify]: Extracting #2: cost 110 inf + 1 6.011 * * [simplify]: Extracting #3: cost 133 inf + 133 6.012 * * [simplify]: Extracting #4: cost 128 inf + 429 6.014 * * [simplify]: Extracting #5: cost 118 inf + 1666 6.019 * * [simplify]: Extracting #6: cost 62 inf + 21931 6.036 * * [simplify]: Extracting #7: cost 7 inf + 67089 6.057 * * [simplify]: Extracting #8: cost 0 inf + 70630 6.078 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (- 1 k))) 6.078 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 6.078 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 6.079 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 6.079 * * [simplify]: iters left: 6 (10 enodes) 6.085 * * [simplify]: iters left: 5 (41 enodes) 6.093 * * [simplify]: iters left: 4 (66 enodes) 6.107 * * [simplify]: iters left: 3 (116 enodes) 6.139 * * [simplify]: iters left: 2 (219 enodes) 6.223 * * [simplify]: iters left: 1 (499 enodes) 6.607 * * [simplify]: Extracting #0: cost 1 inf + 0 6.607 * * [simplify]: Extracting #1: cost 35 inf + 0 6.607 * * [simplify]: Extracting #2: cost 129 inf + 1 6.609 * * [simplify]: Extracting #3: cost 198 inf + 827 6.616 * * [simplify]: Extracting #4: cost 122 inf + 18089 6.636 * * [simplify]: Extracting #5: cost 25 inf + 62444 6.652 * * [simplify]: Extracting #6: cost 0 inf + 84055 6.674 * * [simplify]: Extracting #7: cost 0 inf + 83884 6.706 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 6.706 * [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))) 6.707 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 6.707 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 6.707 * * [simplify]: iters left: 5 (9 enodes) 6.712 * * [simplify]: iters left: 4 (36 enodes) 6.722 * * [simplify]: iters left: 3 (57 enodes) 6.736 * * [simplify]: iters left: 2 (96 enodes) 6.759 * * [simplify]: iters left: 1 (171 enodes) 6.830 * * [simplify]: Extracting #0: cost 1 inf + 0 6.830 * * [simplify]: Extracting #1: cost 12 inf + 0 6.831 * * [simplify]: Extracting #2: cost 50 inf + 1 6.831 * * [simplify]: Extracting #3: cost 73 inf + 6 6.832 * * [simplify]: Extracting #4: cost 58 inf + 1463 6.835 * * [simplify]: Extracting #5: cost 24 inf + 7936 6.841 * * [simplify]: Extracting #6: cost 2 inf + 20820 6.848 * * [simplify]: Extracting #7: cost 0 inf + 22437 6.856 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 6.856 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 6.856 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 6.856 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 6.856 * * [simplify]: iters left: 5 (8 enodes) 6.866 * * [simplify]: iters left: 4 (34 enodes) 6.880 * * [simplify]: iters left: 3 (64 enodes) 6.902 * * [simplify]: iters left: 2 (105 enodes) 6.927 * * [simplify]: iters left: 1 (177 enodes) 6.980 * * [simplify]: Extracting #0: cost 1 inf + 0 6.980 * * [simplify]: Extracting #1: cost 17 inf + 0 6.980 * * [simplify]: Extracting #2: cost 34 inf + 46 6.981 * * [simplify]: Extracting #3: cost 26 inf + 466 6.982 * * [simplify]: Extracting #4: cost 11 inf + 6543 6.984 * * [simplify]: Extracting #5: cost 1 inf + 10885 6.987 * * [simplify]: Extracting #6: cost 0 inf + 11179 6.990 * [simplify]: Simplified to (* (* PI 2) n) 6.990 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 6.991 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 6.991 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) 6.991 * * [simplify]: iters left: 6 (14 enodes) 6.999 * * [simplify]: iters left: 5 (54 enodes) 7.016 * * [simplify]: iters left: 4 (79 enodes) 7.029 * * [simplify]: iters left: 3 (128 enodes) 7.058 * * [simplify]: iters left: 2 (254 enodes) 7.135 * * [simplify]: Extracting #0: cost 1 inf + 0 7.135 * * [simplify]: Extracting #1: cost 12 inf + 0 7.135 * * [simplify]: Extracting #2: cost 77 inf + 1 7.136 * * [simplify]: Extracting #3: cost 138 inf + 6 7.138 * * [simplify]: Extracting #4: cost 119 inf + 2891 7.140 * * [simplify]: Extracting #5: cost 99 inf + 5644 7.145 * * [simplify]: Extracting #6: cost 51 inf + 18419 7.157 * * [simplify]: Extracting #7: cost 9 inf + 40691 7.172 * * [simplify]: Extracting #8: cost 1 inf + 49261 7.188 * * [simplify]: Extracting #9: cost 0 inf + 50208 7.207 * * [simplify]: Extracting #10: cost 0 inf + 50077 7.223 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 7.223 * [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))) 7.223 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 7.224 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) 7.224 * * [simplify]: iters left: 6 (13 enodes) 7.230 * * [simplify]: iters left: 5 (49 enodes) 7.238 * * [simplify]: iters left: 4 (70 enodes) 7.249 * * [simplify]: iters left: 3 (109 enodes) 7.278 * * [simplify]: iters left: 2 (197 enodes) 7.343 * * [simplify]: iters left: 1 (357 enodes) 7.497 * * [simplify]: Extracting #0: cost 1 inf + 0 7.497 * * [simplify]: Extracting #1: cost 28 inf + 0 7.498 * * [simplify]: Extracting #2: cost 146 inf + 1 7.500 * * [simplify]: Extracting #3: cost 239 inf + 259 7.502 * * [simplify]: Extracting #4: cost 243 inf + 429 7.505 * * [simplify]: Extracting #5: cost 195 inf + 6376 7.518 * * [simplify]: Extracting #6: cost 76 inf + 35704 7.531 * * [simplify]: Extracting #7: cost 17 inf + 74273 7.557 * * [simplify]: Extracting #8: cost 0 inf + 91451 7.587 * * [simplify]: Extracting #9: cost 0 inf + 90789 7.604 * * [simplify]: Extracting #10: cost 0 inf + 90459 7.627 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 7.627 * [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))) 7.627 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 7.627 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) 7.627 * * [simplify]: iters left: 6 (12 enodes) 7.632 * * [simplify]: iters left: 5 (44 enodes) 7.639 * * [simplify]: iters left: 4 (63 enodes) 7.649 * * [simplify]: iters left: 3 (96 enodes) 7.669 * * [simplify]: iters left: 2 (161 enodes) 7.708 * * [simplify]: iters left: 1 (288 enodes) 7.821 * * [simplify]: Extracting #0: cost 1 inf + 0 7.821 * * [simplify]: Extracting #1: cost 29 inf + 0 7.822 * * [simplify]: Extracting #2: cost 96 inf + 1 7.822 * * [simplify]: Extracting #3: cost 129 inf + 215 7.823 * * [simplify]: Extracting #4: cost 121 inf + 594 7.826 * * [simplify]: Extracting #5: cost 77 inf + 9882 7.836 * * [simplify]: Extracting #6: cost 29 inf + 35322 7.853 * * [simplify]: Extracting #7: cost 0 inf + 61789 7.870 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 7.871 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt k))) 7.871 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 7.871 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 7.871 * * [simplify]: iters left: 6 (13 enodes) 7.878 * * [simplify]: iters left: 5 (51 enodes) 7.898 * * [simplify]: iters left: 4 (76 enodes) 7.915 * * [simplify]: iters left: 3 (124 enodes) 7.939 * * [simplify]: iters left: 2 (250 enodes) 8.034 * * [simplify]: Extracting #0: cost 1 inf + 0 8.034 * * [simplify]: Extracting #1: cost 13 inf + 0 8.034 * * [simplify]: Extracting #2: cost 76 inf + 1 8.035 * * [simplify]: Extracting #3: cost 135 inf + 209 8.035 * * [simplify]: Extracting #4: cost 120 inf + 2806 8.036 * * [simplify]: Extracting #5: cost 101 inf + 5276 8.038 * * [simplify]: Extracting #6: cost 81 inf + 11120 8.043 * * [simplify]: Extracting #7: cost 26 inf + 32887 8.057 * * [simplify]: Extracting #8: cost 2 inf + 46287 8.072 * * [simplify]: Extracting #9: cost 0 inf + 47832 8.087 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 8.087 * [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))) 8.088 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 8.088 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) 8.088 * * [simplify]: iters left: 6 (12 enodes) 8.095 * * [simplify]: iters left: 5 (46 enodes) 8.110 * * [simplify]: iters left: 4 (67 enodes) 8.129 * * [simplify]: iters left: 3 (106 enodes) 8.151 * * [simplify]: iters left: 2 (197 enodes) 8.218 * * [simplify]: iters left: 1 (359 enodes) 8.352 * * [simplify]: Extracting #0: cost 1 inf + 0 8.353 * * [simplify]: Extracting #1: cost 30 inf + 0 8.353 * * [simplify]: Extracting #2: cost 139 inf + 1 8.355 * * [simplify]: Extracting #3: cost 235 inf + 257 8.358 * * [simplify]: Extracting #4: cost 220 inf + 2339 8.363 * * [simplify]: Extracting #5: cost 191 inf + 6458 8.370 * * [simplify]: Extracting #6: cost 79 inf + 40757 8.385 * * [simplify]: Extracting #7: cost 5 inf + 90679 8.411 * * [simplify]: Extracting #8: cost 0 inf + 92759 8.431 * * [simplify]: Extracting #9: cost 0 inf + 92308 8.447 * * [simplify]: Extracting #10: cost 0 inf + 92268 8.464 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 8.464 * [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))) 8.464 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 8.464 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 8.464 * * [simplify]: iters left: 6 (11 enodes) 8.468 * * [simplify]: iters left: 5 (41 enodes) 8.481 * * [simplify]: iters left: 4 (60 enodes) 8.492 * * [simplify]: iters left: 3 (94 enodes) 8.508 * * [simplify]: iters left: 2 (156 enodes) 8.545 * * [simplify]: iters left: 1 (285 enodes) 8.684 * * [simplify]: Extracting #0: cost 1 inf + 0 8.685 * * [simplify]: Extracting #1: cost 29 inf + 0 8.685 * * [simplify]: Extracting #2: cost 101 inf + 1 8.686 * * [simplify]: Extracting #3: cost 132 inf + 216 8.686 * * [simplify]: Extracting #4: cost 126 inf + 470 8.689 * * [simplify]: Extracting #5: cost 66 inf + 20430 8.697 * * [simplify]: Extracting #6: cost 14 inf + 52746 8.709 * * [simplify]: Extracting #7: cost 0 inf + 65165 8.719 * * [simplify]: Extracting #8: cost 0 inf + 64766 8.729 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 8.729 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 8.729 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 8.729 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 8.729 * * [simplify]: iters left: 6 (10 enodes) 8.733 * * [simplify]: iters left: 5 (41 enodes) 8.751 * * [simplify]: iters left: 4 (66 enodes) 8.774 * * [simplify]: iters left: 3 (116 enodes) 8.802 * * [simplify]: iters left: 2 (219 enodes) 8.896 * * [simplify]: iters left: 1 (499 enodes) 9.288 * * [simplify]: Extracting #0: cost 1 inf + 0 9.289 * * [simplify]: Extracting #1: cost 35 inf + 0 9.289 * * [simplify]: Extracting #2: cost 129 inf + 1 9.290 * * [simplify]: Extracting #3: cost 198 inf + 827 9.296 * * [simplify]: Extracting #4: cost 122 inf + 18089 9.307 * * [simplify]: Extracting #5: cost 25 inf + 62444 9.324 * * [simplify]: Extracting #6: cost 0 inf + 84055 9.356 * * [simplify]: Extracting #7: cost 0 inf + 83884 9.388 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 9.388 * [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))) 9.389 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 9.389 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 9.389 * * [simplify]: iters left: 5 (9 enodes) 9.394 * * [simplify]: iters left: 4 (36 enodes) 9.406 * * [simplify]: iters left: 3 (57 enodes) 9.422 * * [simplify]: iters left: 2 (96 enodes) 9.440 * * [simplify]: iters left: 1 (171 enodes) 9.510 * * [simplify]: Extracting #0: cost 1 inf + 0 9.510 * * [simplify]: Extracting #1: cost 12 inf + 0 9.510 * * [simplify]: Extracting #2: cost 50 inf + 1 9.511 * * [simplify]: Extracting #3: cost 73 inf + 6 9.512 * * [simplify]: Extracting #4: cost 58 inf + 1463 9.515 * * [simplify]: Extracting #5: cost 24 inf + 7936 9.521 * * [simplify]: Extracting #6: cost 2 inf + 20820 9.527 * * [simplify]: Extracting #7: cost 0 inf + 22437 9.537 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 9.537 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 9.537 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 9.537 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 9.537 * * [simplify]: iters left: 5 (8 enodes) 9.544 * * [simplify]: iters left: 4 (34 enodes) 9.558 * * [simplify]: iters left: 3 (64 enodes) 9.581 * * [simplify]: iters left: 2 (105 enodes) 9.604 * * [simplify]: iters left: 1 (177 enodes) 9.643 * * [simplify]: Extracting #0: cost 1 inf + 0 9.643 * * [simplify]: Extracting #1: cost 17 inf + 0 9.643 * * [simplify]: Extracting #2: cost 34 inf + 46 9.644 * * [simplify]: Extracting #3: cost 26 inf + 466 9.644 * * [simplify]: Extracting #4: cost 11 inf + 6543 9.646 * * [simplify]: Extracting #5: cost 1 inf + 10885 9.647 * * [simplify]: Extracting #6: cost 0 inf + 11179 9.648 * [simplify]: Simplified to (* (* PI 2) n) 9.648 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 9.649 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 9.649 * [simplify]: Simplifying (pow (* n (* 2 PI)) 1) 9.649 * * [simplify]: iters left: 5 (7 enodes) 9.652 * * [simplify]: iters left: 4 (30 enodes) 9.658 * * [simplify]: iters left: 3 (58 enodes) 9.675 * * [simplify]: iters left: 2 (99 enodes) 9.710 * * [simplify]: iters left: 1 (171 enodes) 9.779 * * [simplify]: Extracting #0: cost 1 inf + 0 9.779 * * [simplify]: Extracting #1: cost 18 inf + 0 9.779 * * [simplify]: Extracting #2: cost 35 inf + 46 9.780 * * [simplify]: Extracting #3: cost 25 inf + 1347 9.781 * * [simplify]: Extracting #4: cost 14 inf + 5442 9.783 * * [simplify]: Extracting #5: cost 7 inf + 7909 9.785 * * [simplify]: Extracting #6: cost 0 inf + 11764 9.786 * [simplify]: Simplified to (* (* PI 2) n) 9.787 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 9.787 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 9.787 * [simplify]: Simplifying (pow (* n (* 2 PI)) (- 1 k)) 9.787 * * [simplify]: iters left: 5 (9 enodes) 9.790 * * [simplify]: iters left: 4 (38 enodes) 9.796 * * [simplify]: iters left: 3 (64 enodes) 9.807 * * [simplify]: iters left: 2 (102 enodes) 9.831 * * [simplify]: iters left: 1 (175 enodes) 9.867 * * [simplify]: Extracting #0: cost 1 inf + 0 9.867 * * [simplify]: Extracting #1: cost 13 inf + 0 9.867 * * [simplify]: Extracting #2: cost 59 inf + 1 9.867 * * [simplify]: Extracting #3: cost 82 inf + 132 9.868 * * [simplify]: Extracting #4: cost 45 inf + 4647 9.870 * * [simplify]: Extracting #5: cost 14 inf + 14753 9.873 * * [simplify]: Extracting #6: cost 1 inf + 22775 9.877 * * [simplify]: Extracting #7: cost 0 inf + 23442 9.880 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1 k)) 9.880 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (- 1 k)) (/ 1 2)) (sqrt k))) 9.880 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 9.880 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 9.881 * * [simplify]: iters left: 5 (7 enodes) 9.883 * * [simplify]: iters left: 4 (32 enodes) 9.889 * * [simplify]: iters left: 3 (57 enodes) 9.899 * * [simplify]: iters left: 2 (90 enodes) 9.920 * * [simplify]: iters left: 1 (170 enodes) 9.969 * * [simplify]: Extracting #0: cost 1 inf + 0 9.969 * * [simplify]: Extracting #1: cost 13 inf + 0 9.970 * * [simplify]: Extracting #2: cost 55 inf + 2 9.970 * * [simplify]: Extracting #3: cost 88 inf + 6 9.970 * * [simplify]: Extracting #4: cost 77 inf + 1344 9.972 * * [simplify]: Extracting #5: cost 20 inf + 14540 9.976 * * [simplify]: Extracting #6: cost 1 inf + 21921 9.980 * * [simplify]: Extracting #7: cost 0 inf + 21176 9.984 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 9.984 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 9.984 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 9.984 * * [simplify]: iters left: 5 (8 enodes) 9.987 * * [simplify]: iters left: 4 (36 enodes) 9.993 * * [simplify]: iters left: 3 (57 enodes) 10.003 * * [simplify]: iters left: 2 (92 enodes) 10.035 * * [simplify]: iters left: 1 (188 enodes) 10.108 * * [simplify]: Extracting #0: cost 1 inf + 0 10.108 * * [simplify]: Extracting #1: cost 13 inf + 0 10.108 * * [simplify]: Extracting #2: cost 58 inf + 1 10.109 * * [simplify]: Extracting #3: cost 91 inf + 6 10.109 * * [simplify]: Extracting #4: cost 84 inf + 1386 10.113 * * [simplify]: Extracting #5: cost 34 inf + 8646 10.119 * * [simplify]: Extracting #6: cost 1 inf + 23512 10.126 * * [simplify]: Extracting #7: cost 0 inf + 24388 10.133 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 10.133 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 10.133 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 10.134 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 10.134 * [simplify]: Simplifying (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 10.134 * * [simplify]: iters left: 6 (11 enodes) 10.140 * * [simplify]: iters left: 5 (50 enodes) 10.157 * * [simplify]: iters left: 4 (97 enodes) 10.185 * * [simplify]: iters left: 3 (196 enodes) 10.238 * * [simplify]: Extracting #0: cost 1 inf + 0 10.238 * * [simplify]: Extracting #1: cost 46 inf + 0 10.238 * * [simplify]: Extracting #2: cost 129 inf + 1 10.239 * * [simplify]: Extracting #3: cost 177 inf + 448 10.240 * * [simplify]: Extracting #4: cost 122 inf + 10236 10.245 * * [simplify]: Extracting #5: cost 25 inf + 29555 10.251 * * [simplify]: Extracting #6: cost 1 inf + 37116 10.257 * * [simplify]: Extracting #7: cost 0 inf + 37231 10.266 * [simplify]: Simplified to (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) 10.266 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- 1 k) (/ 2 (log (* (* PI 2) n))))) (sqrt k))) 10.266 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 10.266 * [simplify]: Simplifying (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 10.266 * * [simplify]: iters left: 6 (11 enodes) 10.272 * * [simplify]: iters left: 5 (48 enodes) 10.288 * * [simplify]: iters left: 4 (79 enodes) 10.313 * * [simplify]: iters left: 3 (127 enodes) 10.340 * * [simplify]: iters left: 2 (246 enodes) 10.399 * * [simplify]: iters left: 1 (490 enodes) 10.571 * * [simplify]: Extracting #0: cost 1 inf + 0 10.571 * * [simplify]: Extracting #1: cost 26 inf + 0 10.572 * * [simplify]: Extracting #2: cost 134 inf + 0 10.573 * * [simplify]: Extracting #3: cost 269 inf + 4 10.576 * * [simplify]: Extracting #4: cost 291 inf + 182 10.578 * * [simplify]: Extracting #5: cost 280 inf + 1261 10.585 * * [simplify]: Extracting #6: cost 195 inf + 17556 10.606 * * [simplify]: Extracting #7: cost 79 inf + 87620 10.644 * * [simplify]: Extracting #8: cost 2 inf + 149503 10.673 * * [simplify]: Extracting #9: cost 0 inf + 148481 10.703 * [simplify]: Simplified to (exp (pow (* (* PI 2) n) (/ (- 1 k) 2))) 10.703 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (log (exp (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt k))) 10.703 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 10.703 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 10.704 * * [simplify]: iters left: 6 (12 enodes) 10.711 * * [simplify]: iters left: 5 (51 enodes) 10.722 * * [simplify]: iters left: 4 (84 enodes) 10.736 * * [simplify]: iters left: 3 (127 enodes) 10.759 * * [simplify]: iters left: 2 (212 enodes) 10.840 * * [simplify]: iters left: 1 (389 enodes) 11.051 * * [simplify]: Extracting #0: cost 1 inf + 0 11.051 * * [simplify]: Extracting #1: cost 3 inf + 0 11.052 * * [simplify]: Extracting #2: cost 5 inf + 0 11.052 * * [simplify]: Extracting #3: cost 34 inf + 0 11.052 * * [simplify]: Extracting #4: cost 116 inf + 1 11.053 * * [simplify]: Extracting #5: cost 167 inf + 176 11.053 * * [simplify]: Extracting #6: cost 161 inf + 1057 11.056 * * [simplify]: Extracting #7: cost 90 inf + 12763 11.061 * * [simplify]: Extracting #8: cost 46 inf + 28892 11.072 * * [simplify]: Extracting #9: cost 3 inf + 67650 11.092 * * [simplify]: Extracting #10: cost 0 inf + 68411 11.102 * * [simplify]: Extracting #11: cost 0 inf + 68280 11.112 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 11.112 * [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))) 11.113 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 11.113 * * [simplify]: iters left: 6 (11 enodes) 11.116 * * [simplify]: iters left: 5 (48 enodes) 11.128 * * [simplify]: iters left: 4 (77 enodes) 11.157 * * [simplify]: iters left: 3 (120 enodes) 11.183 * * [simplify]: iters left: 2 (218 enodes) 11.235 * * [simplify]: iters left: 1 (392 enodes) 11.379 * * [simplify]: Extracting #0: cost 1 inf + 0 11.379 * * [simplify]: Extracting #1: cost 3 inf + 0 11.379 * * [simplify]: Extracting #2: cost 32 inf + 0 11.380 * * [simplify]: Extracting #3: cost 113 inf + 1 11.381 * * [simplify]: Extracting #4: cost 183 inf + 176 11.383 * * [simplify]: Extracting #5: cost 174 inf + 1097 11.387 * * [simplify]: Extracting #6: cost 106 inf + 9497 11.398 * * [simplify]: Extracting #7: cost 36 inf + 40825 11.420 * * [simplify]: Extracting #8: cost 0 inf + 71678 11.444 * * [simplify]: Extracting #9: cost 0 inf + 68829 11.457 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 11.457 * [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))) 11.458 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 11.458 * [simplify]: Simplifying (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 11.458 * * [simplify]: iters left: 6 (12 enodes) 11.462 * * [simplify]: iters left: 5 (54 enodes) 11.472 * * [simplify]: iters left: 4 (107 enodes) 11.514 * * [simplify]: iters left: 3 (222 enodes) 11.610 * * [simplify]: iters left: 2 (473 enodes) 11.919 * * [simplify]: Extracting #0: cost 1 inf + 0 11.919 * * [simplify]: Extracting #1: cost 47 inf + 0 11.920 * * [simplify]: Extracting #2: cost 135 inf + 3 11.921 * * [simplify]: Extracting #3: cost 187 inf + 5 11.922 * * [simplify]: Extracting #4: cost 188 inf + 971 11.926 * * [simplify]: Extracting #5: cost 113 inf + 24576 11.943 * * [simplify]: Extracting #6: cost 43 inf + 80064 11.978 * * [simplify]: Extracting #7: cost 0 inf + 119576 12.014 * * [simplify]: Extracting #8: cost 0 inf + 118703 12.051 * * [simplify]: Extracting #9: cost 0 inf + 115578 12.075 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3) 12.075 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3)) (sqrt k))) 12.075 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 12.075 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 12.075 * * [simplify]: iters left: 6 (11 enodes) 12.079 * * [simplify]: iters left: 5 (48 enodes) 12.087 * * [simplify]: iters left: 4 (78 enodes) 12.103 * * [simplify]: iters left: 3 (122 enodes) 12.144 * * [simplify]: iters left: 2 (223 enodes) 12.196 * * [simplify]: iters left: 1 (408 enodes) 12.356 * * [simplify]: Extracting #0: cost 1 inf + 0 12.356 * * [simplify]: Extracting #1: cost 4 inf + 0 12.357 * * [simplify]: Extracting #2: cost 37 inf + 0 12.357 * * [simplify]: Extracting #3: cost 135 inf + 1 12.359 * * [simplify]: Extracting #4: cost 179 inf + 220 12.361 * * [simplify]: Extracting #5: cost 155 inf + 2713 12.369 * * [simplify]: Extracting #6: cost 71 inf + 16900 12.386 * * [simplify]: Extracting #7: cost 20 inf + 50066 12.400 * * [simplify]: Extracting #8: cost 0 inf + 69765 12.414 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 12.414 * [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))) 12.414 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 12.414 * * [simplify]: iters left: 6 (11 enodes) 12.418 * * [simplify]: iters left: 5 (48 enodes) 12.432 * * [simplify]: iters left: 4 (78 enodes) 12.459 * * [simplify]: iters left: 3 (122 enodes) 12.482 * * [simplify]: iters left: 2 (223 enodes) 12.532 * * [simplify]: iters left: 1 (408 enodes) 12.735 * * [simplify]: Extracting #0: cost 1 inf + 0 12.735 * * [simplify]: Extracting #1: cost 4 inf + 0 12.735 * * [simplify]: Extracting #2: cost 37 inf + 0 12.736 * * [simplify]: Extracting #3: cost 135 inf + 1 12.737 * * [simplify]: Extracting #4: cost 179 inf + 220 12.740 * * [simplify]: Extracting #5: cost 155 inf + 2713 12.747 * * [simplify]: Extracting #6: cost 71 inf + 16900 12.769 * * [simplify]: Extracting #7: cost 20 inf + 50066 12.795 * * [simplify]: Extracting #8: cost 0 inf + 69765 12.809 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 12.809 * [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))) 12.809 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 12.809 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 12.809 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 12.809 * * [simplify]: iters left: 6 (11 enodes) 12.813 * * [simplify]: iters left: 5 (51 enodes) 12.822 * * [simplify]: iters left: 4 (87 enodes) 12.847 * * [simplify]: iters left: 3 (146 enodes) 12.877 * * [simplify]: iters left: 2 (263 enodes) 12.972 * * [simplify]: iters left: 1 (485 enodes) 13.222 * * [simplify]: Extracting #0: cost 1 inf + 0 13.222 * * [simplify]: Extracting #1: cost 27 inf + 0 13.222 * * [simplify]: Extracting #2: cost 108 inf + 1 13.223 * * [simplify]: Extracting #3: cost 195 inf + 178 13.224 * * [simplify]: Extracting #4: cost 186 inf + 1642 13.228 * * [simplify]: Extracting #5: cost 87 inf + 19304 13.238 * * [simplify]: Extracting #6: cost 11 inf + 54080 13.251 * * [simplify]: Extracting #7: cost 0 inf + 61765 13.274 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 13.274 * [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 k))) 13.274 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 13.274 * * [simplify]: iters left: 6 (11 enodes) 13.281 * * [simplify]: iters left: 5 (51 enodes) 13.299 * * [simplify]: iters left: 4 (87 enodes) 13.328 * * [simplify]: iters left: 3 (146 enodes) 13.361 * * [simplify]: iters left: 2 (263 enodes) 13.462 * * [simplify]: iters left: 1 (485 enodes) 13.672 * * [simplify]: Extracting #0: cost 1 inf + 0 13.672 * * [simplify]: Extracting #1: cost 27 inf + 0 13.673 * * [simplify]: Extracting #2: cost 108 inf + 1 13.675 * * [simplify]: Extracting #3: cost 195 inf + 178 13.677 * * [simplify]: Extracting #4: cost 186 inf + 1642 13.684 * * [simplify]: Extracting #5: cost 87 inf + 19304 13.703 * * [simplify]: Extracting #6: cost 11 inf + 54080 13.726 * * [simplify]: Extracting #7: cost 0 inf + 61765 13.752 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 13.753 * [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))) 13.753 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 13.753 * [simplify]: Simplifying (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 13.753 * * [simplify]: iters left: 6 (11 enodes) 13.757 * * [simplify]: iters left: 5 (45 enodes) 13.765 * * [simplify]: iters left: 4 (74 enodes) 13.777 * * [simplify]: iters left: 3 (118 enodes) 13.815 * * [simplify]: iters left: 2 (216 enodes) 13.871 * * [simplify]: iters left: 1 (387 enodes) 14.015 * * [simplify]: Extracting #0: cost 1 inf + 0 14.015 * * [simplify]: Extracting #1: cost 2 inf + 0 14.015 * * [simplify]: Extracting #2: cost 28 inf + 0 14.016 * * [simplify]: Extracting #3: cost 106 inf + 1 14.016 * * [simplify]: Extracting #4: cost 165 inf + 218 14.017 * * [simplify]: Extracting #5: cost 163 inf + 644 14.024 * * [simplify]: Extracting #6: cost 97 inf + 9320 14.032 * * [simplify]: Extracting #7: cost 31 inf + 38445 14.042 * * [simplify]: Extracting #8: cost 0 inf + 62881 14.057 * * [simplify]: Extracting #9: cost 0 inf + 62681 14.070 * [simplify]: Simplified to (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) 14.070 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt k))) 14.071 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 14.071 * [simplify]: Simplifying (* n (* 2 PI)) 14.071 * * [simplify]: iters left: 4 (5 enodes) 14.073 * * [simplify]: iters left: 3 (19 enodes) 14.075 * * [simplify]: iters left: 2 (27 enodes) 14.079 * * [simplify]: iters left: 1 (32 enodes) 14.083 * * [simplify]: Extracting #0: cost 1 inf + 0 14.083 * * [simplify]: Extracting #1: cost 8 inf + 0 14.083 * * [simplify]: Extracting #2: cost 7 inf + 45 14.084 * * [simplify]: Extracting #3: cost 0 inf + 421 14.084 * [simplify]: Simplified to (* (* PI 2) n) 14.084 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 14.084 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 14.084 * [simplify]: Simplifying (* n (* 2 PI)) 14.084 * * [simplify]: iters left: 4 (5 enodes) 14.085 * * [simplify]: iters left: 3 (19 enodes) 14.088 * * [simplify]: iters left: 2 (27 enodes) 14.093 * * [simplify]: iters left: 1 (32 enodes) 14.101 * * [simplify]: Extracting #0: cost 1 inf + 0 14.101 * * [simplify]: Extracting #1: cost 8 inf + 0 14.101 * * [simplify]: Extracting #2: cost 7 inf + 45 14.101 * * [simplify]: Extracting #3: cost 0 inf + 421 14.102 * [simplify]: Simplified to (* (* PI 2) n) 14.102 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 14.102 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 14.102 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 14.102 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 14.102 * * [simplify]: iters left: 5 (8 enodes) 14.107 * * [simplify]: iters left: 4 (28 enodes) 14.111 * * [simplify]: iters left: 3 (36 enodes) 14.117 * * [simplify]: iters left: 2 (42 enodes) 14.124 * * [simplify]: Extracting #0: cost 1 inf + 0 14.124 * * [simplify]: Extracting #1: cost 8 inf + 0 14.124 * * [simplify]: Extracting #2: cost 17 inf + 0 14.124 * * [simplify]: Extracting #3: cost 12 inf + 145 14.124 * * [simplify]: Extracting #4: cost 5 inf + 1197 14.124 * * [simplify]: Extracting #5: cost 1 inf + 1925 14.125 * * [simplify]: Extracting #6: cost 0 inf + 2107 14.125 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 14.125 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 14.125 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 14.125 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 14.125 * * [simplify]: iters left: 5 (7 enodes) 14.128 * * [simplify]: iters left: 4 (26 enodes) 14.132 * * [simplify]: iters left: 3 (35 enodes) 14.138 * * [simplify]: iters left: 2 (44 enodes) 14.150 * * [simplify]: Extracting #0: cost 1 inf + 0 14.150 * * [simplify]: Extracting #1: cost 8 inf + 0 14.150 * * [simplify]: Extracting #2: cost 18 inf + 0 14.151 * * [simplify]: Extracting #3: cost 15 inf + 74 14.151 * * [simplify]: Extracting #4: cost 8 inf + 554 14.152 * * [simplify]: Extracting #5: cost 0 inf + 1911 14.152 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 14.152 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 14.152 * * * * [progress]: [ 46 / 127 ] simplifiying candidate # 14.153 * [simplify]: Simplifying (log (* n (* 2 PI))) 14.153 * * [simplify]: iters left: 5 (6 enodes) 14.156 * * [simplify]: iters left: 4 (25 enodes) 14.165 * * [simplify]: iters left: 3 (44 enodes) 14.177 * * [simplify]: iters left: 2 (62 enodes) 14.193 * * [simplify]: iters left: 1 (70 enodes) 14.201 * * [simplify]: Extracting #0: cost 1 inf + 0 14.201 * * [simplify]: Extracting #1: cost 9 inf + 0 14.202 * * [simplify]: Extracting #2: cost 22 inf + 0 14.202 * * [simplify]: Extracting #3: cost 19 inf + 228 14.202 * * [simplify]: Extracting #4: cost 6 inf + 1211 14.202 * * [simplify]: Extracting #5: cost 1 inf + 1713 14.203 * * [simplify]: Extracting #6: cost 0 inf + 1825 14.203 * [simplify]: Simplified to (log (* (* PI 2) n)) 14.203 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (log (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 14.203 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 14.203 * [simplify]: Simplifying (exp (* n (* 2 PI))) 14.203 * * [simplify]: iters left: 5 (6 enodes) 14.205 * * [simplify]: iters left: 4 (24 enodes) 14.209 * * [simplify]: iters left: 3 (41 enodes) 14.216 * * [simplify]: iters left: 2 (77 enodes) 14.232 * * [simplify]: iters left: 1 (133 enodes) 14.253 * * [simplify]: Extracting #0: cost 1 inf + 0 14.253 * * [simplify]: Extracting #1: cost 33 inf + 0 14.253 * * [simplify]: Extracting #2: cost 75 inf + 860 14.254 * * [simplify]: Extracting #3: cost 73 inf + 4094 14.255 * * [simplify]: Extracting #4: cost 37 inf + 10165 14.257 * * [simplify]: Extracting #5: cost 4 inf + 19745 14.259 * * [simplify]: Extracting #6: cost 0 inf + 21278 14.262 * [simplify]: Simplified to (exp (* n (+ PI PI))) 14.262 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (log (exp (* n (+ PI PI)))) (/ (- 1 k) 2)) (sqrt k))) 14.262 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 14.262 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 14.262 * * [simplify]: iters left: 6 (11 enodes) 14.269 * * [simplify]: iters left: 5 (48 enodes) 14.285 * * [simplify]: iters left: 4 (121 enodes) 14.317 * * [simplify]: iters left: 3 (355 enodes) 14.495 * * [simplify]: Extracting #0: cost 1 inf + 0 14.495 * * [simplify]: Extracting #1: cost 65 inf + 0 14.496 * * [simplify]: Extracting #2: cost 162 inf + 496 14.499 * * [simplify]: Extracting #3: cost 89 inf + 8992 14.505 * * [simplify]: Extracting #4: cost 19 inf + 22730 14.514 * * [simplify]: Extracting #5: cost 0 inf + 27780 14.521 * * [simplify]: Extracting #6: cost 0 inf + 27740 14.534 * [simplify]: Simplified to (* 8 (* (* n PI) (* (* n PI) (* n PI)))) 14.534 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* 8 (* (* n PI) (* (* n PI) (* n PI))))) (/ (- 1 k) 2)) (sqrt k))) 14.534 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 14.535 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 14.535 * * [simplify]: iters left: 6 (9 enodes) 14.541 * * [simplify]: iters left: 5 (45 enodes) 14.551 * * [simplify]: iters left: 4 (117 enodes) 14.585 * * [simplify]: iters left: 3 (377 enodes) 14.882 * * [simplify]: Extracting #0: cost 1 inf + 0 14.882 * * [simplify]: Extracting #1: cost 79 inf + 0 14.883 * * [simplify]: Extracting #2: cost 190 inf + 659 14.887 * * [simplify]: Extracting #3: cost 100 inf + 13035 14.900 * * [simplify]: Extracting #4: cost 6 inf + 31482 14.909 * * [simplify]: Extracting #5: cost 0 inf + 32336 14.918 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 14.918 * [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))) 14.918 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 14.918 * [simplify]: Simplifying (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) 14.918 * * [simplify]: iters left: 6 (7 enodes) 14.921 * * [simplify]: iters left: 5 (25 enodes) 14.924 * * [simplify]: iters left: 4 (33 enodes) 14.929 * * [simplify]: iters left: 3 (39 enodes) 14.937 * * [simplify]: Extracting #0: cost 1 inf + 0 14.937 * * [simplify]: Extracting #1: cost 3 inf + 0 14.937 * * [simplify]: Extracting #2: cost 5 inf + 0 14.937 * * [simplify]: Extracting #3: cost 12 inf + 0 14.937 * * [simplify]: Extracting #4: cost 11 inf + 45 14.938 * * [simplify]: Extracting #5: cost 5 inf + 500 14.938 * * [simplify]: Extracting #6: cost 1 inf + 950 14.939 * * [simplify]: Extracting #7: cost 0 inf + 1153 14.939 * [simplify]: Simplified to (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) 14.939 * [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))) 14.939 * [simplify]: Simplifying (cbrt (* n (* 2 PI))) 14.940 * * [simplify]: iters left: 5 (6 enodes) 14.943 * * [simplify]: iters left: 4 (22 enodes) 14.950 * * [simplify]: iters left: 3 (30 enodes) 14.959 * * [simplify]: iters left: 2 (35 enodes) 14.963 * * [simplify]: Extracting #0: cost 1 inf + 0 14.963 * * [simplify]: Extracting #1: cost 3 inf + 0 14.963 * * [simplify]: Extracting #2: cost 10 inf + 0 14.963 * * [simplify]: Extracting #3: cost 10 inf + 3 14.963 * * [simplify]: Extracting #4: cost 6 inf + 171 14.964 * * [simplify]: Extracting #5: cost 1 inf + 584 14.964 * * [simplify]: Extracting #6: cost 0 inf + 747 14.964 * [simplify]: Simplified to (cbrt (* (* PI 2) n)) 14.964 * [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))) 14.964 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 14.964 * [simplify]: Simplifying (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI))) 14.964 * * [simplify]: iters left: 6 (7 enodes) 14.967 * * [simplify]: iters left: 5 (35 enodes) 14.974 * * [simplify]: iters left: 4 (120 enodes) 15.034 * * [simplify]: iters left: 3 (434 enodes) 15.446 * * [simplify]: Extracting #0: cost 1 inf + 0 15.446 * * [simplify]: Extracting #1: cost 70 inf + 0 15.448 * * [simplify]: Extracting #2: cost 180 inf + 783 15.457 * * [simplify]: Extracting #3: cost 74 inf + 15033 15.475 * * [simplify]: Extracting #4: cost 1 inf + 25830 15.493 * * [simplify]: Extracting #5: cost 0 inf + 25831 15.511 * [simplify]: Simplified to (* 8 (* (* n PI) (* (* n PI) (* n PI)))) 15.511 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* 8 (* (* n PI) (* (* n PI) (* n PI))))) (/ (- 1 k) 2)) (sqrt k))) 15.511 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 15.512 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 15.512 * * [simplify]: iters left: 5 (6 enodes) 15.515 * * [simplify]: iters left: 4 (22 enodes) 15.522 * * [simplify]: iters left: 3 (30 enodes) 15.531 * * [simplify]: iters left: 2 (35 enodes) 15.539 * * [simplify]: Extracting #0: cost 1 inf + 0 15.539 * * [simplify]: Extracting #1: cost 3 inf + 0 15.540 * * [simplify]: Extracting #2: cost 10 inf + 0 15.540 * * [simplify]: Extracting #3: cost 10 inf + 3 15.540 * * [simplify]: Extracting #4: cost 6 inf + 171 15.540 * * [simplify]: Extracting #5: cost 1 inf + 544 15.541 * * [simplify]: Extracting #6: cost 0 inf + 667 15.541 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 15.541 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt (* (* PI 2) n)) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 15.541 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 15.541 * * [simplify]: iters left: 5 (6 enodes) 15.545 * * [simplify]: iters left: 4 (22 enodes) 15.551 * * [simplify]: iters left: 3 (30 enodes) 15.560 * * [simplify]: iters left: 2 (35 enodes) 15.574 * * [simplify]: Extracting #0: cost 1 inf + 0 15.574 * * [simplify]: Extracting #1: cost 3 inf + 0 15.574 * * [simplify]: Extracting #2: cost 10 inf + 0 15.574 * * [simplify]: Extracting #3: cost 10 inf + 3 15.574 * * [simplify]: Extracting #4: cost 6 inf + 171 15.574 * * [simplify]: Extracting #5: cost 1 inf + 544 15.575 * * [simplify]: Extracting #6: cost 0 inf + 667 15.575 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 15.575 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 15.575 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 15.576 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 15.576 * [simplify]: Simplifying (* n 2) 15.576 * * [simplify]: iters left: 2 (3 enodes) 15.578 * * [simplify]: iters left: 1 (10 enodes) 15.581 * * [simplify]: Extracting #0: cost 1 inf + 0 15.581 * * [simplify]: Extracting #1: cost 4 inf + 0 15.581 * * [simplify]: Extracting #2: cost 2 inf + 2 15.581 * * [simplify]: Extracting #3: cost 0 inf + 86 15.581 * [simplify]: Simplified to (* n 2) 15.581 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) 15.581 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 15.582 * [simplify]: Simplifying (* (cbrt n) (* 2 PI)) 15.582 * * [simplify]: iters left: 4 (6 enodes) 15.585 * * [simplify]: iters left: 3 (22 enodes) 15.591 * * [simplify]: iters left: 2 (30 enodes) 15.600 * * [simplify]: iters left: 1 (35 enodes) 15.609 * * [simplify]: Extracting #0: cost 1 inf + 0 15.609 * * [simplify]: Extracting #1: cost 8 inf + 0 15.609 * * [simplify]: Extracting #2: cost 10 inf + 44 15.609 * * [simplify]: Extracting #3: cost 8 inf + 87 15.609 * * [simplify]: Extracting #4: cost 5 inf + 453 15.610 * * [simplify]: Extracting #5: cost 0 inf + 1063 15.610 * [simplify]: Simplified to (* (cbrt n) (* 2 PI)) 15.610 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 15.610 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 15.610 * [simplify]: Simplifying (* (sqrt n) (* 2 PI)) 15.611 * * [simplify]: iters left: 4 (6 enodes) 15.614 * * [simplify]: iters left: 3 (22 enodes) 15.618 * * [simplify]: iters left: 2 (30 enodes) 15.623 * * [simplify]: iters left: 1 (35 enodes) 15.628 * * [simplify]: Extracting #0: cost 1 inf + 0 15.628 * * [simplify]: Extracting #1: cost 8 inf + 0 15.628 * * [simplify]: Extracting #2: cost 10 inf + 44 15.628 * * [simplify]: Extracting #3: cost 8 inf + 87 15.628 * * [simplify]: Extracting #4: cost 5 inf + 333 15.628 * * [simplify]: Extracting #5: cost 0 inf + 743 15.629 * [simplify]: Simplified to (* (sqrt n) (* 2 PI)) 15.629 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 15.629 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 15.629 * [simplify]: Simplifying (* n (* 2 PI)) 15.629 * * [simplify]: iters left: 4 (5 enodes) 15.630 * * [simplify]: iters left: 3 (19 enodes) 15.633 * * [simplify]: iters left: 2 (27 enodes) 15.637 * * [simplify]: iters left: 1 (32 enodes) 15.641 * * [simplify]: Extracting #0: cost 1 inf + 0 15.641 * * [simplify]: Extracting #1: cost 8 inf + 0 15.641 * * [simplify]: Extracting #2: cost 7 inf + 45 15.641 * * [simplify]: Extracting #3: cost 0 inf + 421 15.642 * [simplify]: Simplified to (* (* PI 2) n) 15.642 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* 1 (* (* PI 2) n)) (/ (- 1 k) 2)) (sqrt k))) 15.642 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 15.642 * [simplify]: Simplifying (real->posit16 (* n (* 2 PI))) 15.642 * * [simplify]: iters left: 5 (6 enodes) 15.643 * * [simplify]: iters left: 4 (19 enodes) 15.646 * * [simplify]: iters left: 3 (27 enodes) 15.653 * * [simplify]: iters left: 2 (32 enodes) 15.661 * * [simplify]: Extracting #0: cost 1 inf + 0 15.661 * * [simplify]: Extracting #1: cost 2 inf + 0 15.661 * * [simplify]: Extracting #2: cost 8 inf + 0 15.661 * * [simplify]: Extracting #3: cost 7 inf + 45 15.661 * * [simplify]: Extracting #4: cost 1 inf + 379 15.662 * * [simplify]: Extracting #5: cost 0 inf + 421 15.662 * [simplify]: Simplified to (real->posit16 (* (* PI 2) n)) 15.662 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 15.662 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 15.662 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 15.662 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 15.662 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 15.663 * * [simplify]: iters left: 6 (16 enodes) 15.671 * * [simplify]: iters left: 5 (65 enodes) 15.695 * * [simplify]: iters left: 4 (111 enodes) 15.739 * * [simplify]: iters left: 3 (296 enodes) 15.871 * * [simplify]: Extracting #0: cost 1 inf + 0 15.871 * * [simplify]: Extracting #1: cost 31 inf + 0 15.871 * * [simplify]: Extracting #2: cost 107 inf + 0 15.872 * * [simplify]: Extracting #3: cost 171 inf + 73 15.873 * * [simplify]: Extracting #4: cost 181 inf + 2455 15.876 * * [simplify]: Extracting #5: cost 104 inf + 20736 15.884 * * [simplify]: Extracting #6: cost 6 inf + 50602 15.896 * * [simplify]: Extracting #7: cost 0 inf + 52958 15.915 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 15.915 * [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))))) 15.915 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 15.916 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 15.916 * * [simplify]: iters left: 6 (15 enodes) 15.928 * * [simplify]: iters left: 5 (63 enodes) 15.948 * * [simplify]: iters left: 4 (104 enodes) 15.986 * * [simplify]: iters left: 3 (240 enodes) 16.056 * * [simplify]: Extracting #0: cost 1 inf + 0 16.056 * * [simplify]: Extracting #1: cost 27 inf + 0 16.057 * * [simplify]: Extracting #2: cost 102 inf + 0 16.057 * * [simplify]: Extracting #3: cost 157 inf + 2 16.058 * * [simplify]: Extracting #4: cost 169 inf + 1531 16.060 * * [simplify]: Extracting #5: cost 97 inf + 15418 16.072 * * [simplify]: Extracting #6: cost 3 inf + 41828 16.087 * * [simplify]: Extracting #7: cost 0 inf + 43090 16.097 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 16.098 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 16.098 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 16.098 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 16.098 * * [simplify]: iters left: 6 (14 enodes) 16.102 * * [simplify]: iters left: 5 (62 enodes) 16.112 * * [simplify]: iters left: 4 (111 enodes) 16.139 * * [simplify]: iters left: 3 (225 enodes) 16.217 * * [simplify]: Extracting #0: cost 1 inf + 0 16.217 * * [simplify]: Extracting #1: cost 19 inf + 0 16.218 * * [simplify]: Extracting #2: cost 91 inf + 0 16.218 * * [simplify]: Extracting #3: cost 148 inf + 2 16.220 * * [simplify]: Extracting #4: cost 170 inf + 926 16.225 * * [simplify]: Extracting #5: cost 92 inf + 14002 16.236 * * [simplify]: Extracting #6: cost 8 inf + 33133 16.251 * * [simplify]: Extracting #7: cost 0 inf + 35824 16.264 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 16.265 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 16.265 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 16.265 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 16.265 * * [simplify]: iters left: 6 (14 enodes) 16.273 * * [simplify]: iters left: 5 (62 enodes) 16.284 * * [simplify]: iters left: 4 (111 enodes) 16.304 * * [simplify]: iters left: 3 (225 enodes) 16.369 * * [simplify]: Extracting #0: cost 1 inf + 0 16.369 * * [simplify]: Extracting #1: cost 19 inf + 0 16.369 * * [simplify]: Extracting #2: cost 91 inf + 0 16.370 * * [simplify]: Extracting #3: cost 148 inf + 2 16.370 * * [simplify]: Extracting #4: cost 170 inf + 926 16.373 * * [simplify]: Extracting #5: cost 92 inf + 14002 16.379 * * [simplify]: Extracting #6: cost 8 inf + 33133 16.386 * * [simplify]: Extracting #7: cost 0 inf + 35824 16.393 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 16.393 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 16.393 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 16.393 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 16.393 * * [simplify]: iters left: 6 (14 enodes) 16.400 * * [simplify]: iters left: 5 (61 enodes) 16.411 * * [simplify]: iters left: 4 (111 enodes) 16.432 * * [simplify]: iters left: 3 (220 enodes) 16.495 * * [simplify]: Extracting #0: cost 1 inf + 0 16.495 * * [simplify]: Extracting #1: cost 20 inf + 0 16.496 * * [simplify]: Extracting #2: cost 114 inf + 0 16.496 * * [simplify]: Extracting #3: cost 189 inf + 2 16.497 * * [simplify]: Extracting #4: cost 150 inf + 9376 16.502 * * [simplify]: Extracting #5: cost 38 inf + 34918 16.510 * * [simplify]: Extracting #6: cost 1 inf + 44171 16.517 * * [simplify]: Extracting #7: cost 0 inf + 44417 16.524 * [simplify]: Simplified to (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))) 16.524 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))))) 16.524 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 16.525 * [simplify]: Simplifying (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 16.525 * * [simplify]: iters left: 6 (13 enodes) 16.529 * * [simplify]: iters left: 5 (57 enodes) 16.545 * * [simplify]: iters left: 4 (102 enodes) 16.579 * * [simplify]: iters left: 3 (184 enodes) 16.650 * * [simplify]: iters left: 2 (450 enodes) 16.936 * * [simplify]: Extracting #0: cost 1 inf + 0 16.936 * * [simplify]: Extracting #1: cost 109 inf + 0 16.937 * * [simplify]: Extracting #2: cost 469 inf + 0 16.939 * * [simplify]: Extracting #3: cost 618 inf + 186 16.947 * * [simplify]: Extracting #4: cost 519 inf + 22588 16.970 * * [simplify]: Extracting #5: cost 145 inf + 128043 17.002 * * [simplify]: Extracting #6: cost 10 inf + 187486 17.056 * * [simplify]: Extracting #7: cost 0 inf + 191850 17.091 * * [simplify]: Extracting #8: cost 0 inf + 191570 17.127 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 17.128 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 17.128 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 17.128 * [simplify]: Simplifying (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 17.128 * * [simplify]: iters left: 6 (13 enodes) 17.132 * * [simplify]: iters left: 5 (54 enodes) 17.149 * * [simplify]: iters left: 4 (89 enodes) 17.164 * * [simplify]: iters left: 3 (138 enodes) 17.191 * * [simplify]: iters left: 2 (237 enodes) 17.259 * * [simplify]: iters left: 1 (481 enodes) 17.478 * * [simplify]: Extracting #0: cost 1 inf + 0 17.478 * * [simplify]: Extracting #1: cost 21 inf + 0 17.479 * * [simplify]: Extracting #2: cost 109 inf + 0 17.479 * * [simplify]: Extracting #3: cost 224 inf + 3 17.480 * * [simplify]: Extracting #4: cost 248 inf + 1134 17.484 * * [simplify]: Extracting #5: cost 173 inf + 23731 17.501 * * [simplify]: Extracting #6: cost 38 inf + 111384 17.530 * * [simplify]: Extracting #7: cost 0 inf + 147551 17.569 * [simplify]: Simplified to (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 17.569 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 17.570 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 17.570 * [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))) 17.570 * * [simplify]: iters left: 6 (16 enodes) 17.579 * * [simplify]: iters left: 5 (72 enodes) 17.597 * * [simplify]: iters left: 4 (165 enodes) 17.650 * * [simplify]: iters left: 3 (476 enodes) 17.923 * * [simplify]: Extracting #0: cost 1 inf + 0 17.923 * * [simplify]: Extracting #1: cost 166 inf + 0 17.925 * * [simplify]: Extracting #2: cost 437 inf + 1 17.927 * * [simplify]: Extracting #3: cost 488 inf + 248 17.930 * * [simplify]: Extracting #4: cost 464 inf + 4614 17.951 * * [simplify]: Extracting #5: cost 268 inf + 117487 18.031 * * [simplify]: Extracting #6: cost 21 inf + 300863 18.091 * * [simplify]: Extracting #7: cost 0 inf + 316403 18.184 * [simplify]: Simplified to (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (sqrt k) k)) 18.185 * [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)))) (* (sqrt k) k)))) 18.185 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 18.185 * [simplify]: Simplifying (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 18.185 * * [simplify]: iters left: 6 (14 enodes) 18.193 * * [simplify]: iters left: 5 (57 enodes) 18.213 * * [simplify]: iters left: 4 (92 enodes) 18.233 * * [simplify]: iters left: 3 (137 enodes) 18.263 * * [simplify]: iters left: 2 (233 enodes) 18.324 * * [simplify]: iters left: 1 (473 enodes) 18.526 * * [simplify]: Extracting #0: cost 1 inf + 0 18.526 * * [simplify]: Extracting #1: cost 3 inf + 0 18.526 * * [simplify]: Extracting #2: cost 5 inf + 0 18.526 * * [simplify]: Extracting #3: cost 52 inf + 0 18.527 * * [simplify]: Extracting #4: cost 156 inf + 0 18.528 * * [simplify]: Extracting #5: cost 221 inf + 4 18.529 * * [simplify]: Extracting #6: cost 212 inf + 5434 18.533 * * [simplify]: Extracting #7: cost 130 inf + 29646 18.556 * * [simplify]: Extracting #8: cost 34 inf + 99052 18.574 * * [simplify]: Extracting #9: cost 0 inf + 132964 18.597 * * [simplify]: Extracting #10: cost 0 inf + 132925 18.618 * [simplify]: Simplified to (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 18.618 * [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))))) 18.618 * [simplify]: Simplifying (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 18.618 * * [simplify]: iters left: 6 (13 enodes) 18.625 * * [simplify]: iters left: 5 (54 enodes) 18.634 * * [simplify]: iters left: 4 (89 enodes) 18.648 * * [simplify]: iters left: 3 (138 enodes) 18.682 * * [simplify]: iters left: 2 (235 enodes) 18.746 * * [simplify]: iters left: 1 (482 enodes) 18.997 * * [simplify]: Extracting #0: cost 1 inf + 0 18.997 * * [simplify]: Extracting #1: cost 3 inf + 0 18.997 * * [simplify]: Extracting #2: cost 49 inf + 0 18.998 * * [simplify]: Extracting #3: cost 152 inf + 0 19.000 * * [simplify]: Extracting #4: cost 234 inf + 4 19.001 * * [simplify]: Extracting #5: cost 233 inf + 1421 19.005 * * [simplify]: Extracting #6: cost 151 inf + 20098 19.021 * * [simplify]: Extracting #7: cost 41 inf + 92863 19.046 * * [simplify]: Extracting #8: cost 0 inf + 124957 19.082 * * [simplify]: Extracting #9: cost 0 inf + 123259 19.102 * [simplify]: Simplified to (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) 19.102 * [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))))) 19.102 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 19.102 * [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))) 19.102 * * [simplify]: iters left: 6 (14 enodes) 19.107 * * [simplify]: iters left: 5 (64 enodes) 19.123 * * [simplify]: iters left: 4 (132 enodes) 19.174 * * [simplify]: iters left: 3 (278 enodes) 19.324 * * [simplify]: Extracting #0: cost 1 inf + 0 19.325 * * [simplify]: Extracting #1: cost 67 inf + 0 19.325 * * [simplify]: Extracting #2: cost 190 inf + 2 19.326 * * [simplify]: Extracting #3: cost 237 inf + 337 19.328 * * [simplify]: Extracting #4: cost 206 inf + 12933 19.342 * * [simplify]: Extracting #5: cost 105 inf + 60341 19.379 * * [simplify]: Extracting #6: cost 17 inf + 130805 19.418 * * [simplify]: Extracting #7: cost 0 inf + 145347 19.457 * * [simplify]: Extracting #8: cost 0 inf + 145308 19.497 * [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))))) 19.497 * [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))))))) 19.497 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 19.498 * [simplify]: Simplifying (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 19.498 * * [simplify]: iters left: 6 (13 enodes) 19.505 * * [simplify]: iters left: 5 (54 enodes) 19.523 * * [simplify]: iters left: 4 (89 enodes) 19.544 * * [simplify]: iters left: 3 (138 enodes) 19.579 * * [simplify]: iters left: 2 (235 enodes) 19.628 * * [simplify]: iters left: 1 (482 enodes) 19.876 * * [simplify]: Extracting #0: cost 1 inf + 0 19.876 * * [simplify]: Extracting #1: cost 3 inf + 0 19.876 * * [simplify]: Extracting #2: cost 49 inf + 0 19.877 * * [simplify]: Extracting #3: cost 152 inf + 0 19.878 * * [simplify]: Extracting #4: cost 234 inf + 4 19.881 * * [simplify]: Extracting #5: cost 233 inf + 1421 19.888 * * [simplify]: Extracting #6: cost 151 inf + 20058 19.912 * * [simplify]: Extracting #7: cost 41 inf + 92783 19.956 * * [simplify]: Extracting #8: cost 0 inf + 124877 19.976 * * [simplify]: Extracting #9: cost 0 inf + 123179 20.007 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) 20.007 * [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))))) 20.007 * [simplify]: Simplifying (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 20.008 * * [simplify]: iters left: 6 (13 enodes) 20.011 * * [simplify]: iters left: 5 (54 enodes) 20.021 * * [simplify]: iters left: 4 (89 enodes) 20.037 * * [simplify]: iters left: 3 (138 enodes) 20.083 * * [simplify]: iters left: 2 (235 enodes) 20.162 * * [simplify]: iters left: 1 (482 enodes) 20.387 * * [simplify]: Extracting #0: cost 1 inf + 0 20.387 * * [simplify]: Extracting #1: cost 3 inf + 0 20.387 * * [simplify]: Extracting #2: cost 49 inf + 0 20.388 * * [simplify]: Extracting #3: cost 152 inf + 0 20.390 * * [simplify]: Extracting #4: cost 234 inf + 4 20.392 * * [simplify]: Extracting #5: cost 233 inf + 1421 20.399 * * [simplify]: Extracting #6: cost 151 inf + 20058 20.425 * * [simplify]: Extracting #7: cost 41 inf + 92783 20.464 * * [simplify]: Extracting #8: cost 0 inf + 124877 20.502 * * [simplify]: Extracting #9: cost 0 inf + 123179 20.543 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) 20.543 * [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))))) 20.543 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 20.543 * [simplify]: Simplifying (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 20.543 * * [simplify]: iters left: 6 (11 enodes) 20.551 * * [simplify]: iters left: 5 (48 enodes) 20.566 * * [simplify]: iters left: 4 (80 enodes) 20.592 * * [simplify]: iters left: 3 (132 enodes) 20.642 * * [simplify]: iters left: 2 (259 enodes) 20.741 * * [simplify]: Extracting #0: cost 1 inf + 0 20.741 * * [simplify]: Extracting #1: cost 23 inf + 0 20.742 * * [simplify]: Extracting #2: cost 81 inf + 0 20.742 * * [simplify]: Extracting #3: cost 128 inf + 2 20.743 * * [simplify]: Extracting #4: cost 135 inf + 179 20.745 * * [simplify]: Extracting #5: cost 128 inf + 1305 20.748 * * [simplify]: Extracting #6: cost 76 inf + 8767 20.755 * * [simplify]: Extracting #7: cost 44 inf + 21510 20.768 * * [simplify]: Extracting #8: cost 3 inf + 51259 20.781 * * [simplify]: Extracting #9: cost 0 inf + 53750 20.789 * [simplify]: Simplified to (- (pow (* (* PI 2) n) (/ (- 1 k) 2))) 20.789 * [simplify]: Simplified (2 1) to (λ (k n) (/ (- (pow (* (* PI 2) n) (/ (- 1 k) 2))) (- (sqrt k)))) 20.789 * [simplify]: Simplifying (- (sqrt k)) 20.789 * * [simplify]: iters left: 3 (3 enodes) 20.790 * * [simplify]: iters left: 2 (9 enodes) 20.791 * * [simplify]: Extracting #0: cost 1 inf + 0 20.791 * * [simplify]: Extracting #1: cost 3 inf + 0 20.791 * * [simplify]: Extracting #2: cost 5 inf + 0 20.791 * * [simplify]: Extracting #3: cost 4 inf + 1 20.791 * * [simplify]: Extracting #4: cost 0 inf + 245 20.791 * [simplify]: Simplified to (- (sqrt k)) 20.791 * [simplify]: Simplified (2 2) to (λ (k n) (/ (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (sqrt k)))) 20.791 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 20.791 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 20.792 * * [simplify]: iters left: 6 (11 enodes) 20.797 * * [simplify]: iters left: 5 (46 enodes) 20.806 * * [simplify]: iters left: 4 (79 enodes) 20.831 * * [simplify]: iters left: 3 (137 enodes) 20.880 * * [simplify]: iters left: 2 (284 enodes) 21.005 * * [simplify]: Extracting #0: cost 1 inf + 0 21.005 * * [simplify]: Extracting #1: cost 54 inf + 0 21.006 * * [simplify]: Extracting #2: cost 150 inf + 0 21.007 * * [simplify]: Extracting #3: cost 213 inf + 3 21.009 * * [simplify]: Extracting #4: cost 209 inf + 1092 21.014 * * [simplify]: Extracting #5: cost 144 inf + 17726 21.031 * * [simplify]: Extracting #6: cost 33 inf + 84596 21.057 * * [simplify]: Extracting #7: cost 3 inf + 106931 21.089 * * [simplify]: Extracting #8: cost 0 inf + 108470 21.116 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 21.116 * [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))))) 21.116 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 21.116 * * [simplify]: iters left: 6 (11 enodes) 21.121 * * [simplify]: iters left: 5 (45 enodes) 21.129 * * [simplify]: iters left: 4 (68 enodes) 21.141 * * [simplify]: iters left: 3 (112 enodes) 21.167 * * [simplify]: iters left: 2 (229 enodes) 21.238 * * [simplify]: iters left: 1 (483 enodes) 21.461 * * [simplify]: Extracting #0: cost 1 inf + 0 21.461 * * [simplify]: Extracting #1: cost 52 inf + 0 21.462 * * [simplify]: Extracting #2: cost 153 inf + 0 21.463 * * [simplify]: Extracting #3: cost 247 inf + 3 21.468 * * [simplify]: Extracting #4: cost 240 inf + 2861 21.483 * * [simplify]: Extracting #5: cost 102 inf + 69139 21.529 * * [simplify]: Extracting #6: cost 3 inf + 132852 21.577 * * [simplify]: Extracting #7: cost 0 inf + 130541 21.623 * * [simplify]: Extracting #8: cost 0 inf + 130501 21.654 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 21.654 * [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))))) 21.654 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 21.655 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 21.655 * * [simplify]: iters left: 6 (11 enodes) 21.658 * * [simplify]: iters left: 5 (45 enodes) 21.668 * * [simplify]: iters left: 4 (72 enodes) 21.691 * * [simplify]: iters left: 3 (115 enodes) 21.725 * * [simplify]: iters left: 2 (216 enodes) 21.785 * * [simplify]: iters left: 1 (460 enodes) 22.025 * * [simplify]: Extracting #0: cost 1 inf + 0 22.025 * * [simplify]: Extracting #1: cost 43 inf + 0 22.025 * * [simplify]: Extracting #2: cost 142 inf + 0 22.026 * * [simplify]: Extracting #3: cost 219 inf + 4 22.028 * * [simplify]: Extracting #4: cost 197 inf + 6816 22.039 * * [simplify]: Extracting #5: cost 96 inf + 48989 22.059 * * [simplify]: Extracting #6: cost 16 inf + 102088 22.076 * * [simplify]: Extracting #7: cost 0 inf + 114736 22.101 * * [simplify]: Extracting #8: cost 0 inf + 114234 22.117 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 22.117 * [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))))) 22.117 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 22.117 * * [simplify]: iters left: 6 (11 enodes) 22.120 * * [simplify]: iters left: 5 (45 enodes) 22.128 * * [simplify]: iters left: 4 (68 enodes) 22.146 * * [simplify]: iters left: 3 (112 enodes) 22.176 * * [simplify]: iters left: 2 (229 enodes) 22.234 * * [simplify]: iters left: 1 (483 enodes) 22.446 * * [simplify]: Extracting #0: cost 1 inf + 0 22.447 * * [simplify]: Extracting #1: cost 52 inf + 0 22.448 * * [simplify]: Extracting #2: cost 153 inf + 0 22.449 * * [simplify]: Extracting #3: cost 247 inf + 3 22.450 * * [simplify]: Extracting #4: cost 240 inf + 2901 22.460 * * [simplify]: Extracting #5: cost 102 inf + 69219 22.499 * * [simplify]: Extracting #6: cost 3 inf + 132932 22.524 * * [simplify]: Extracting #7: cost 0 inf + 130621 22.570 * * [simplify]: Extracting #8: cost 0 inf + 130581 22.610 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 22.610 * [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))))) 22.610 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 22.610 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 22.610 * * [simplify]: iters left: 6 (10 enodes) 22.613 * * [simplify]: iters left: 5 (41 enodes) 22.621 * * [simplify]: iters left: 4 (68 enodes) 22.632 * * [simplify]: iters left: 3 (111 enodes) 22.662 * * [simplify]: iters left: 2 (208 enodes) 22.721 * * [simplify]: iters left: 1 (454 enodes) 22.895 * * [simplify]: Extracting #0: cost 1 inf + 0 22.895 * * [simplify]: Extracting #1: cost 44 inf + 0 22.896 * * [simplify]: Extracting #2: cost 149 inf + 0 22.898 * * [simplify]: Extracting #3: cost 228 inf + 4 22.900 * * [simplify]: Extracting #4: cost 225 inf + 1665 22.907 * * [simplify]: Extracting #5: cost 154 inf + 16571 22.926 * * [simplify]: Extracting #6: cost 32 inf + 97546 22.942 * * [simplify]: Extracting #7: cost 1 inf + 121786 22.956 * * [simplify]: Extracting #8: cost 0 inf + 121836 22.971 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 22.972 * [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))))) 22.972 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 22.972 * * [simplify]: iters left: 6 (11 enodes) 22.976 * * [simplify]: iters left: 5 (45 enodes) 22.983 * * [simplify]: iters left: 4 (68 enodes) 22.995 * * [simplify]: iters left: 3 (112 enodes) 23.020 * * [simplify]: iters left: 2 (229 enodes) 23.071 * * [simplify]: iters left: 1 (483 enodes) 23.340 * * [simplify]: Extracting #0: cost 1 inf + 0 23.340 * * [simplify]: Extracting #1: cost 52 inf + 0 23.341 * * [simplify]: Extracting #2: cost 153 inf + 0 23.343 * * [simplify]: Extracting #3: cost 247 inf + 3 23.346 * * [simplify]: Extracting #4: cost 240 inf + 2821 23.364 * * [simplify]: Extracting #5: cost 102 inf + 67379 23.408 * * [simplify]: Extracting #6: cost 3 inf + 129452 23.455 * * [simplify]: Extracting #7: cost 0 inf + 127141 23.506 * * [simplify]: Extracting #8: cost 0 inf + 127101 23.552 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 23.552 * [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))))) 23.552 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 23.553 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 23.553 * * [simplify]: iters left: 6 (9 enodes) 23.559 * * [simplify]: iters left: 5 (38 enodes) 23.572 * * [simplify]: iters left: 4 (63 enodes) 23.592 * * [simplify]: iters left: 3 (104 enodes) 23.629 * * [simplify]: iters left: 2 (197 enodes) 23.700 * * [simplify]: iters left: 1 (427 enodes) 23.911 * * [simplify]: Extracting #0: cost 1 inf + 0 23.911 * * [simplify]: Extracting #1: cost 56 inf + 0 23.912 * * [simplify]: Extracting #2: cost 158 inf + 3 23.914 * * [simplify]: Extracting #3: cost 210 inf + 8 23.917 * * [simplify]: Extracting #4: cost 187 inf + 3844 23.927 * * [simplify]: Extracting #5: cost 77 inf + 41022 23.951 * * [simplify]: Extracting #6: cost 9 inf + 84859 23.979 * * [simplify]: Extracting #7: cost 0 inf + 88301 24.006 * * [simplify]: Extracting #8: cost 0 inf + 88170 24.026 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 24.026 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 24.027 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 24.027 * * [simplify]: iters left: 6 (10 enodes) 24.030 * * [simplify]: iters left: 5 (42 enodes) 24.040 * * [simplify]: iters left: 4 (65 enodes) 24.052 * * [simplify]: iters left: 3 (106 enodes) 24.093 * * [simplify]: iters left: 2 (218 enodes) 24.178 * * [simplify]: iters left: 1 (463 enodes) 24.377 * * [simplify]: Extracting #0: cost 1 inf + 0 24.377 * * [simplify]: Extracting #1: cost 46 inf + 0 24.378 * * [simplify]: Extracting #2: cost 140 inf + 0 24.379 * * [simplify]: Extracting #3: cost 223 inf + 45 24.380 * * [simplify]: Extracting #4: cost 217 inf + 1586 24.383 * * [simplify]: Extracting #5: cost 149 inf + 16066 24.398 * * [simplify]: Extracting #6: cost 46 inf + 77522 24.427 * * [simplify]: Extracting #7: cost 0 inf + 114932 24.445 * * [simplify]: Extracting #8: cost 0 inf + 114332 24.465 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 24.465 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 24.465 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 24.465 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 24.466 * * [simplify]: iters left: 6 (10 enodes) 24.470 * * [simplify]: iters left: 5 (41 enodes) 24.477 * * [simplify]: iters left: 4 (68 enodes) 24.488 * * [simplify]: iters left: 3 (111 enodes) 24.516 * * [simplify]: iters left: 2 (208 enodes) 24.602 * * [simplify]: iters left: 1 (454 enodes) 25.227 * * [simplify]: Extracting #0: cost 1 inf + 0 25.227 * * [simplify]: Extracting #1: cost 44 inf + 0 25.228 * * [simplify]: Extracting #2: cost 149 inf + 0 25.230 * * [simplify]: Extracting #3: cost 228 inf + 4 25.232 * * [simplify]: Extracting #4: cost 225 inf + 1665 25.235 * * [simplify]: Extracting #5: cost 154 inf + 16571 25.245 * * [simplify]: Extracting #6: cost 32 inf + 97546 25.263 * * [simplify]: Extracting #7: cost 1 inf + 121786 25.279 * * [simplify]: Extracting #8: cost 0 inf + 121836 25.293 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 25.293 * [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))))) 25.294 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 25.294 * * [simplify]: iters left: 6 (11 enodes) 25.297 * * [simplify]: iters left: 5 (45 enodes) 25.305 * * [simplify]: iters left: 4 (68 enodes) 25.317 * * [simplify]: iters left: 3 (112 enodes) 25.340 * * [simplify]: iters left: 2 (229 enodes) 25.397 * * [simplify]: iters left: 1 (483 enodes) 25.623 * * [simplify]: Extracting #0: cost 1 inf + 0 25.623 * * [simplify]: Extracting #1: cost 52 inf + 0 25.624 * * [simplify]: Extracting #2: cost 153 inf + 0 25.625 * * [simplify]: Extracting #3: cost 247 inf + 3 25.626 * * [simplify]: Extracting #4: cost 240 inf + 2821 25.635 * * [simplify]: Extracting #5: cost 102 inf + 67379 25.663 * * [simplify]: Extracting #6: cost 3 inf + 129452 25.710 * * [simplify]: Extracting #7: cost 0 inf + 127141 25.750 * * [simplify]: Extracting #8: cost 0 inf + 127101 25.780 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 25.780 * [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))))) 25.780 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 25.781 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 25.781 * * [simplify]: iters left: 6 (8 enodes) 25.784 * * [simplify]: iters left: 5 (33 enodes) 25.789 * * [simplify]: iters left: 4 (56 enodes) 25.800 * * [simplify]: iters left: 3 (104 enodes) 25.832 * * [simplify]: iters left: 2 (223 enodes) 25.898 * * [simplify]: Extracting #0: cost 1 inf + 0 25.898 * * [simplify]: Extracting #1: cost 32 inf + 0 25.898 * * [simplify]: Extracting #2: cost 99 inf + 3 25.898 * * [simplify]: Extracting #3: cost 137 inf + 7 25.899 * * [simplify]: Extracting #4: cost 125 inf + 2807 25.902 * * [simplify]: Extracting #5: cost 43 inf + 28532 25.908 * * [simplify]: Extracting #6: cost 1 inf + 49665 25.917 * * [simplify]: Extracting #7: cost 0 inf + 50040 25.930 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 25.930 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 25.931 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 25.931 * * [simplify]: iters left: 6 (10 enodes) 25.937 * * [simplify]: iters left: 5 (42 enodes) 25.951 * * [simplify]: iters left: 4 (65 enodes) 25.973 * * [simplify]: iters left: 3 (106 enodes) 25.994 * * [simplify]: iters left: 2 (218 enodes) 26.050 * * [simplify]: iters left: 1 (463 enodes) 26.257 * * [simplify]: Extracting #0: cost 1 inf + 0 26.257 * * [simplify]: Extracting #1: cost 46 inf + 0 26.258 * * [simplify]: Extracting #2: cost 140 inf + 0 26.259 * * [simplify]: Extracting #3: cost 223 inf + 45 26.260 * * [simplify]: Extracting #4: cost 217 inf + 1586 26.263 * * [simplify]: Extracting #5: cost 149 inf + 16066 26.279 * * [simplify]: Extracting #6: cost 46 inf + 77522 26.308 * * [simplify]: Extracting #7: cost 0 inf + 114932 26.328 * * [simplify]: Extracting #8: cost 0 inf + 114332 26.350 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 26.350 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 26.350 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 26.351 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 26.351 * * [simplify]: iters left: 6 (16 enodes) 26.359 * * [simplify]: iters left: 5 (69 enodes) 26.383 * * [simplify]: iters left: 4 (117 enodes) 26.419 * * [simplify]: iters left: 3 (166 enodes) 26.470 * * [simplify]: iters left: 2 (250 enodes) 26.561 * * [simplify]: iters left: 1 (419 enodes) 26.722 * * [simplify]: Extracting #0: cost 1 inf + 0 26.722 * * [simplify]: Extracting #1: cost 11 inf + 0 26.722 * * [simplify]: Extracting #2: cost 22 inf + 0 26.722 * * [simplify]: Extracting #3: cost 51 inf + 0 26.723 * * [simplify]: Extracting #4: cost 126 inf + 2 26.724 * * [simplify]: Extracting #5: cost 157 inf + 2034 26.726 * * [simplify]: Extracting #6: cost 100 inf + 12831 26.738 * * [simplify]: Extracting #7: cost 27 inf + 48477 26.757 * * [simplify]: Extracting #8: cost 0 inf + 72879 26.768 * * [simplify]: Extracting #9: cost 0 inf + 72482 26.779 * [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)))) 26.779 * [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))))) 26.779 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 26.779 * * [simplify]: iters left: 6 (14 enodes) 26.783 * * [simplify]: iters left: 5 (57 enodes) 26.798 * * [simplify]: iters left: 4 (90 enodes) 26.829 * * [simplify]: iters left: 3 (129 enodes) 26.871 * * [simplify]: iters left: 2 (209 enodes) 26.947 * * [simplify]: iters left: 1 (388 enodes) 27.061 * * [simplify]: Extracting #0: cost 1 inf + 0 27.061 * * [simplify]: Extracting #1: cost 4 inf + 0 27.061 * * [simplify]: Extracting #2: cost 8 inf + 0 27.061 * * [simplify]: Extracting #3: cost 37 inf + 0 27.061 * * [simplify]: Extracting #4: cost 113 inf + 164 27.062 * * [simplify]: Extracting #5: cost 155 inf + 751 27.064 * * [simplify]: Extracting #6: cost 122 inf + 5943 27.070 * * [simplify]: Extracting #7: cost 49 inf + 32878 27.079 * * [simplify]: Extracting #8: cost 9 inf + 60867 27.089 * * [simplify]: Extracting #9: cost 0 inf + 69531 27.111 * * [simplify]: Extracting #10: cost 0 inf + 69279 27.131 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 27.131 * [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))))) 27.132 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 27.132 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 27.132 * * [simplify]: iters left: 6 (16 enodes) 27.141 * * [simplify]: iters left: 5 (66 enodes) 27.162 * * [simplify]: iters left: 4 (103 enodes) 27.193 * * [simplify]: iters left: 3 (144 enodes) 27.237 * * [simplify]: iters left: 2 (224 enodes) 27.296 * * [simplify]: iters left: 1 (400 enodes) 27.441 * * [simplify]: Extracting #0: cost 1 inf + 0 27.442 * * [simplify]: Extracting #1: cost 7 inf + 0 27.442 * * [simplify]: Extracting #2: cost 15 inf + 0 27.442 * * [simplify]: Extracting #3: cost 45 inf + 0 27.443 * * [simplify]: Extracting #4: cost 117 inf + 83 27.444 * * [simplify]: Extracting #5: cost 157 inf + 786 27.447 * * [simplify]: Extracting #6: cost 127 inf + 4510 27.453 * * [simplify]: Extracting #7: cost 73 inf + 15276 27.466 * * [simplify]: Extracting #8: cost 28 inf + 41177 27.478 * * [simplify]: Extracting #9: cost 4 inf + 61701 27.489 * * [simplify]: Extracting #10: cost 0 inf + 64611 27.501 * * [simplify]: Extracting #11: cost 0 inf + 64040 27.522 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 27.522 * [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))))) 27.523 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 27.523 * * [simplify]: iters left: 6 (14 enodes) 27.530 * * [simplify]: iters left: 5 (57 enodes) 27.546 * * [simplify]: iters left: 4 (90 enodes) 27.560 * * [simplify]: iters left: 3 (129 enodes) 27.598 * * [simplify]: iters left: 2 (209 enodes) 27.643 * * [simplify]: iters left: 1 (388 enodes) 27.783 * * [simplify]: Extracting #0: cost 1 inf + 0 27.783 * * [simplify]: Extracting #1: cost 4 inf + 0 27.783 * * [simplify]: Extracting #2: cost 8 inf + 0 27.783 * * [simplify]: Extracting #3: cost 37 inf + 0 27.783 * * [simplify]: Extracting #4: cost 113 inf + 204 27.784 * * [simplify]: Extracting #5: cost 155 inf + 831 27.786 * * [simplify]: Extracting #6: cost 122 inf + 6023 27.792 * * [simplify]: Extracting #7: cost 49 inf + 32958 27.800 * * [simplify]: Extracting #8: cost 9 inf + 60947 27.822 * * [simplify]: Extracting #9: cost 0 inf + 69611 27.842 * * [simplify]: Extracting #10: cost 0 inf + 69359 27.855 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 27.855 * [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))))) 27.855 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 27.856 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 27.856 * * [simplify]: iters left: 6 (15 enodes) 27.864 * * [simplify]: iters left: 5 (62 enodes) 27.885 * * [simplify]: iters left: 4 (99 enodes) 27.906 * * [simplify]: iters left: 3 (144 enodes) 27.936 * * [simplify]: iters left: 2 (229 enodes) 27.982 * * [simplify]: iters left: 1 (404 enodes) 28.112 * * [simplify]: Extracting #0: cost 1 inf + 0 28.112 * * [simplify]: Extracting #1: cost 7 inf + 0 28.112 * * [simplify]: Extracting #2: cost 14 inf + 0 28.112 * * [simplify]: Extracting #3: cost 43 inf + 0 28.113 * * [simplify]: Extracting #4: cost 120 inf + 43 28.113 * * [simplify]: Extracting #5: cost 159 inf + 1676 28.116 * * [simplify]: Extracting #6: cost 100 inf + 15650 28.123 * * [simplify]: Extracting #7: cost 35 inf + 42701 28.143 * * [simplify]: Extracting #8: cost 1 inf + 71800 28.160 * * [simplify]: Extracting #9: cost 0 inf + 71205 28.171 * * [simplify]: Extracting #10: cost 0 inf + 70623 28.185 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 28.185 * [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))))) 28.185 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 28.186 * * [simplify]: iters left: 6 (14 enodes) 28.193 * * [simplify]: iters left: 5 (57 enodes) 28.203 * * [simplify]: iters left: 4 (90 enodes) 28.217 * * [simplify]: iters left: 3 (129 enodes) 28.247 * * [simplify]: iters left: 2 (209 enodes) 28.300 * * [simplify]: iters left: 1 (388 enodes) 28.416 * * [simplify]: Extracting #0: cost 1 inf + 0 28.416 * * [simplify]: Extracting #1: cost 4 inf + 0 28.416 * * [simplify]: Extracting #2: cost 8 inf + 0 28.416 * * [simplify]: Extracting #3: cost 37 inf + 0 28.417 * * [simplify]: Extracting #4: cost 113 inf + 124 28.417 * * [simplify]: Extracting #5: cost 155 inf + 671 28.419 * * [simplify]: Extracting #6: cost 122 inf + 5863 28.431 * * [simplify]: Extracting #7: cost 49 inf + 32718 28.442 * * [simplify]: Extracting #8: cost 9 inf + 60707 28.452 * * [simplify]: Extracting #9: cost 0 inf + 69371 28.462 * * [simplify]: Extracting #10: cost 0 inf + 69119 28.478 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 28.478 * [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))))) 28.478 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 28.479 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 28.479 * * [simplify]: iters left: 6 (14 enodes) 28.488 * * [simplify]: iters left: 5 (59 enodes) 28.507 * * [simplify]: iters left: 4 (96 enodes) 28.533 * * [simplify]: iters left: 3 (138 enodes) 28.558 * * [simplify]: iters left: 2 (219 enodes) 28.605 * * [simplify]: iters left: 1 (402 enodes) 28.761 * * [simplify]: Extracting #0: cost 1 inf + 0 28.761 * * [simplify]: Extracting #1: cost 5 inf + 0 28.762 * * [simplify]: Extracting #2: cost 7 inf + 1 28.762 * * [simplify]: Extracting #3: cost 35 inf + 1 28.762 * * [simplify]: Extracting #4: cost 110 inf + 2 28.763 * * [simplify]: Extracting #5: cost 169 inf + 218 28.764 * * [simplify]: Extracting #6: cost 167 inf + 1185 28.766 * * [simplify]: Extracting #7: cost 109 inf + 8585 28.771 * * [simplify]: Extracting #8: cost 41 inf + 29993 28.791 * * [simplify]: Extracting #9: cost 3 inf + 63758 28.813 * * [simplify]: Extracting #10: cost 0 inf + 65570 28.830 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 28.830 * [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)))) 28.830 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 28.830 * * [simplify]: iters left: 6 (13 enodes) 28.834 * * [simplify]: iters left: 5 (54 enodes) 28.843 * * [simplify]: iters left: 4 (87 enodes) 28.865 * * [simplify]: iters left: 3 (130 enodes) 28.901 * * [simplify]: iters left: 2 (211 enodes) 28.962 * * [simplify]: iters left: 1 (391 enodes) 29.121 * * [simplify]: Extracting #0: cost 1 inf + 0 29.121 * * [simplify]: Extracting #1: cost 4 inf + 0 29.122 * * [simplify]: Extracting #2: cost 8 inf + 0 29.122 * * [simplify]: Extracting #3: cost 31 inf + 83 29.122 * * [simplify]: Extracting #4: cost 111 inf + 84 29.123 * * [simplify]: Extracting #5: cost 158 inf + 384 29.127 * * [simplify]: Extracting #6: cost 111 inf + 6250 29.137 * * [simplify]: Extracting #7: cost 36 inf + 34066 29.157 * * [simplify]: Extracting #8: cost 0 inf + 63292 29.176 * * [simplify]: Extracting #9: cost 0 inf + 62851 29.196 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 29.196 * [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 1)) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 29.196 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 29.197 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 29.197 * * [simplify]: iters left: 6 (15 enodes) 29.205 * * [simplify]: iters left: 5 (62 enodes) 29.224 * * [simplify]: iters left: 4 (99 enodes) 29.255 * * [simplify]: iters left: 3 (144 enodes) 29.282 * * [simplify]: iters left: 2 (229 enodes) 29.339 * * [simplify]: iters left: 1 (404 enodes) 29.486 * * [simplify]: Extracting #0: cost 1 inf + 0 29.486 * * [simplify]: Extracting #1: cost 7 inf + 0 29.486 * * [simplify]: Extracting #2: cost 14 inf + 0 29.486 * * [simplify]: Extracting #3: cost 43 inf + 0 29.487 * * [simplify]: Extracting #4: cost 120 inf + 43 29.488 * * [simplify]: Extracting #5: cost 159 inf + 1676 29.493 * * [simplify]: Extracting #6: cost 100 inf + 15650 29.500 * * [simplify]: Extracting #7: cost 35 inf + 42701 29.511 * * [simplify]: Extracting #8: cost 1 inf + 71800 29.522 * * [simplify]: Extracting #9: cost 0 inf + 71205 29.543 * * [simplify]: Extracting #10: cost 0 inf + 70623 29.557 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 29.557 * [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))))) 29.557 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 29.557 * * [simplify]: iters left: 6 (14 enodes) 29.561 * * [simplify]: iters left: 5 (57 enodes) 29.571 * * [simplify]: iters left: 4 (90 enodes) 29.586 * * [simplify]: iters left: 3 (129 enodes) 29.627 * * [simplify]: iters left: 2 (209 enodes) 29.693 * * [simplify]: iters left: 1 (388 enodes) 29.814 * * [simplify]: Extracting #0: cost 1 inf + 0 29.814 * * [simplify]: Extracting #1: cost 4 inf + 0 29.814 * * [simplify]: Extracting #2: cost 8 inf + 0 29.814 * * [simplify]: Extracting #3: cost 37 inf + 0 29.815 * * [simplify]: Extracting #4: cost 113 inf + 124 29.815 * * [simplify]: Extracting #5: cost 155 inf + 671 29.817 * * [simplify]: Extracting #6: cost 122 inf + 5863 29.825 * * [simplify]: Extracting #7: cost 49 inf + 32718 29.838 * * [simplify]: Extracting #8: cost 9 inf + 60707 29.848 * * [simplify]: Extracting #9: cost 0 inf + 69371 29.858 * * [simplify]: Extracting #10: cost 0 inf + 69119 29.868 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 29.869 * [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))))) 29.869 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 29.869 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 29.869 * * [simplify]: iters left: 6 (13 enodes) 29.874 * * [simplify]: iters left: 5 (54 enodes) 29.893 * * [simplify]: iters left: 4 (95 enodes) 29.926 * * [simplify]: iters left: 3 (139 enodes) 29.969 * * [simplify]: iters left: 2 (220 enodes) 30.019 * * [simplify]: iters left: 1 (398 enodes) 30.169 * * [simplify]: Extracting #0: cost 1 inf + 0 30.169 * * [simplify]: Extracting #1: cost 5 inf + 0 30.169 * * [simplify]: Extracting #2: cost 7 inf + 1 30.170 * * [simplify]: Extracting #3: cost 36 inf + 1 30.170 * * [simplify]: Extracting #4: cost 115 inf + 2 30.172 * * [simplify]: Extracting #5: cost 175 inf + 176 30.175 * * [simplify]: Extracting #6: cost 149 inf + 4495 30.185 * * [simplify]: Extracting #7: cost 44 inf + 33848 30.208 * * [simplify]: Extracting #8: cost 5 inf + 61860 30.228 * * [simplify]: Extracting #9: cost 0 inf + 64956 30.240 * * [simplify]: Extracting #10: cost 0 inf + 64876 30.252 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 30.252 * [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)))) 30.253 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 30.253 * * [simplify]: iters left: 6 (13 enodes) 30.260 * * [simplify]: iters left: 5 (54 enodes) 30.273 * * [simplify]: iters left: 4 (87 enodes) 30.288 * * [simplify]: iters left: 3 (130 enodes) 30.320 * * [simplify]: iters left: 2 (211 enodes) 30.375 * * [simplify]: iters left: 1 (391 enodes) 30.534 * * [simplify]: Extracting #0: cost 1 inf + 0 30.534 * * [simplify]: Extracting #1: cost 4 inf + 0 30.534 * * [simplify]: Extracting #2: cost 8 inf + 0 30.534 * * [simplify]: Extracting #3: cost 31 inf + 83 30.535 * * [simplify]: Extracting #4: cost 111 inf + 84 30.536 * * [simplify]: Extracting #5: cost 158 inf + 384 30.539 * * [simplify]: Extracting #6: cost 111 inf + 6250 30.550 * * [simplify]: Extracting #7: cost 36 inf + 34066 30.570 * * [simplify]: Extracting #8: cost 0 inf + 63292 30.589 * * [simplify]: Extracting #9: cost 0 inf + 62851 30.609 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 30.609 * [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)))) 30.609 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 30.609 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 30.610 * * [simplify]: iters left: 6 (15 enodes) 30.618 * * [simplify]: iters left: 5 (62 enodes) 30.639 * * [simplify]: iters left: 4 (98 enodes) 30.673 * * [simplify]: iters left: 3 (136 enodes) 30.710 * * [simplify]: iters left: 2 (216 enodes) 30.771 * * [simplify]: iters left: 1 (397 enodes) 30.937 * * [simplify]: Extracting #0: cost 1 inf + 0 30.937 * * [simplify]: Extracting #1: cost 6 inf + 0 30.937 * * [simplify]: Extracting #2: cost 13 inf + 0 30.937 * * [simplify]: Extracting #3: cost 48 inf + 0 30.937 * * [simplify]: Extracting #4: cost 134 inf + 2 30.938 * * [simplify]: Extracting #5: cost 167 inf + 1532 30.941 * * [simplify]: Extracting #6: cost 109 inf + 15194 30.956 * * [simplify]: Extracting #7: cost 10 inf + 61301 30.976 * * [simplify]: Extracting #8: cost 0 inf + 68383 30.987 * * [simplify]: Extracting #9: cost 0 inf + 68184 31.000 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 31.000 * [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))))) 31.000 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 31.000 * * [simplify]: iters left: 6 (14 enodes) 31.008 * * [simplify]: iters left: 5 (57 enodes) 31.028 * * [simplify]: iters left: 4 (91 enodes) 31.055 * * [simplify]: iters left: 3 (129 enodes) 31.098 * * [simplify]: iters left: 2 (209 enodes) 31.180 * * [simplify]: iters left: 1 (391 enodes) 31.332 * * [simplify]: Extracting #0: cost 1 inf + 0 31.332 * * [simplify]: Extracting #1: cost 4 inf + 0 31.332 * * [simplify]: Extracting #2: cost 9 inf + 0 31.332 * * [simplify]: Extracting #3: cost 44 inf + 0 31.333 * * [simplify]: Extracting #4: cost 129 inf + 164 31.334 * * [simplify]: Extracting #5: cost 158 inf + 793 31.338 * * [simplify]: Extracting #6: cost 95 inf + 10707 31.352 * * [simplify]: Extracting #7: cost 29 inf + 44786 31.371 * * [simplify]: Extracting #8: cost 0 inf + 72237 31.382 * * [simplify]: Extracting #9: cost 0 inf + 70469 31.392 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 31.392 * [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))))) 31.392 * * * * [progress]: [ 86 / 127 ] simplifiying candidate # 31.393 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 31.393 * * [simplify]: iters left: 6 (15 enodes) 31.397 * * [simplify]: iters left: 5 (61 enodes) 31.410 * * [simplify]: iters left: 4 (95 enodes) 31.443 * * [simplify]: iters left: 3 (133 enodes) 31.486 * * [simplify]: iters left: 2 (213 enodes) 31.544 * * [simplify]: iters left: 1 (398 enodes) 31.683 * * [simplify]: Extracting #0: cost 1 inf + 0 31.683 * * [simplify]: Extracting #1: cost 4 inf + 0 31.683 * * [simplify]: Extracting #2: cost 10 inf + 0 31.683 * * [simplify]: Extracting #3: cost 45 inf + 0 31.684 * * [simplify]: Extracting #4: cost 130 inf + 204 31.685 * * [simplify]: Extracting #5: cost 158 inf + 2148 31.690 * * [simplify]: Extracting #6: cost 96 inf + 13212 31.702 * * [simplify]: Extracting #7: cost 37 inf + 35479 31.722 * * [simplify]: Extracting #8: cost 1 inf + 68373 31.748 * * [simplify]: Extracting #9: cost 0 inf + 67636 31.769 * * [simplify]: Extracting #10: cost 0 inf + 67555 31.783 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 31.783 * [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))))) 31.783 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 31.783 * * [simplify]: iters left: 6 (14 enodes) 31.787 * * [simplify]: iters left: 5 (57 enodes) 31.797 * * [simplify]: iters left: 4 (91 enodes) 31.817 * * [simplify]: iters left: 3 (129 enodes) 31.842 * * [simplify]: iters left: 2 (209 enodes) 31.905 * * [simplify]: iters left: 1 (391 enodes) 32.059 * * [simplify]: Extracting #0: cost 1 inf + 0 32.059 * * [simplify]: Extracting #1: cost 4 inf + 0 32.059 * * [simplify]: Extracting #2: cost 9 inf + 0 32.059 * * [simplify]: Extracting #3: cost 44 inf + 0 32.060 * * [simplify]: Extracting #4: cost 129 inf + 204 32.060 * * [simplify]: Extracting #5: cost 158 inf + 873 32.062 * * [simplify]: Extracting #6: cost 95 inf + 10787 32.069 * * [simplify]: Extracting #7: cost 29 inf + 44866 32.080 * * [simplify]: Extracting #8: cost 0 inf + 72317 32.092 * * [simplify]: Extracting #9: cost 0 inf + 70549 32.103 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 32.103 * [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))))) 32.103 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 32.103 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 32.103 * * [simplify]: iters left: 6 (14 enodes) 32.107 * * [simplify]: iters left: 5 (57 enodes) 32.117 * * [simplify]: iters left: 4 (91 enodes) 32.143 * * [simplify]: iters left: 3 (129 enodes) 32.182 * * [simplify]: iters left: 2 (209 enodes) 32.231 * * [simplify]: iters left: 1 (391 enodes) 32.358 * * [simplify]: Extracting #0: cost 1 inf + 0 32.358 * * [simplify]: Extracting #1: cost 4 inf + 0 32.358 * * [simplify]: Extracting #2: cost 9 inf + 0 32.358 * * [simplify]: Extracting #3: cost 44 inf + 0 32.359 * * [simplify]: Extracting #4: cost 129 inf + 124 32.361 * * [simplify]: Extracting #5: cost 158 inf + 713 32.365 * * [simplify]: Extracting #6: cost 95 inf + 10627 32.378 * * [simplify]: Extracting #7: cost 29 inf + 44626 32.395 * * [simplify]: Extracting #8: cost 0 inf + 72077 32.408 * * [simplify]: Extracting #9: cost 0 inf + 70309 32.425 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 32.426 * [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))))) 32.426 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 32.426 * * [simplify]: iters left: 6 (14 enodes) 32.434 * * [simplify]: iters left: 5 (57 enodes) 32.453 * * [simplify]: iters left: 4 (91 enodes) 32.481 * * [simplify]: iters left: 3 (129 enodes) 32.521 * * [simplify]: iters left: 2 (209 enodes) 32.578 * * [simplify]: iters left: 1 (391 enodes) 32.700 * * [simplify]: Extracting #0: cost 1 inf + 0 32.700 * * [simplify]: Extracting #1: cost 4 inf + 0 32.700 * * [simplify]: Extracting #2: cost 9 inf + 0 32.701 * * [simplify]: Extracting #3: cost 44 inf + 0 32.701 * * [simplify]: Extracting #4: cost 129 inf + 124 32.703 * * [simplify]: Extracting #5: cost 158 inf + 713 32.707 * * [simplify]: Extracting #6: cost 95 inf + 10627 32.720 * * [simplify]: Extracting #7: cost 29 inf + 44626 32.740 * * [simplify]: Extracting #8: cost 0 inf + 72077 32.761 * * [simplify]: Extracting #9: cost 0 inf + 70309 32.781 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 32.781 * [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))))) 32.782 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 32.782 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 32.782 * * [simplify]: iters left: 6 (13 enodes) 32.791 * * [simplify]: iters left: 5 (54 enodes) 32.808 * * [simplify]: iters left: 4 (88 enodes) 32.834 * * [simplify]: iters left: 3 (129 enodes) 32.879 * * [simplify]: iters left: 2 (210 enodes) 32.940 * * [simplify]: iters left: 1 (396 enodes) 33.080 * * [simplify]: Extracting #0: cost 1 inf + 0 33.080 * * [simplify]: Extracting #1: cost 5 inf + 0 33.080 * * [simplify]: Extracting #2: cost 36 inf + 1 33.080 * * [simplify]: Extracting #3: cost 128 inf + 2 33.081 * * [simplify]: Extracting #4: cost 175 inf + 177 33.082 * * [simplify]: Extracting #5: cost 151 inf + 2628 33.087 * * [simplify]: Extracting #6: cost 39 inf + 38372 33.101 * * [simplify]: Extracting #7: cost 0 inf + 65702 33.124 * * [simplify]: Extracting #8: cost 0 inf + 65360 33.152 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 33.152 * [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)))) 33.152 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 33.152 * * [simplify]: iters left: 6 (13 enodes) 33.160 * * [simplify]: iters left: 5 (54 enodes) 33.178 * * [simplify]: iters left: 4 (88 enodes) 33.201 * * [simplify]: iters left: 3 (127 enodes) 33.223 * * [simplify]: iters left: 2 (207 enodes) 33.267 * * [simplify]: iters left: 1 (391 enodes) 33.385 * * [simplify]: Extracting #0: cost 1 inf + 0 33.386 * * [simplify]: Extracting #1: cost 4 inf + 0 33.386 * * [simplify]: Extracting #2: cost 9 inf + 0 33.386 * * [simplify]: Extracting #3: cost 34 inf + 1 33.386 * * [simplify]: Extracting #4: cost 122 inf + 84 33.388 * * [simplify]: Extracting #5: cost 155 inf + 634 33.392 * * [simplify]: Extracting #6: cost 98 inf + 12022 33.412 * * [simplify]: Extracting #7: cost 18 inf + 50044 33.423 * * [simplify]: Extracting #8: cost 0 inf + 62916 33.433 * * [simplify]: Extracting #9: cost 0 inf + 62110 33.444 * * [simplify]: Extracting #10: cost 0 inf + 61837 33.463 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 33.464 * [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)))) 33.464 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 33.464 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 33.464 * * [simplify]: iters left: 6 (14 enodes) 33.472 * * [simplify]: iters left: 5 (57 enodes) 33.483 * * [simplify]: iters left: 4 (91 enodes) 33.498 * * [simplify]: iters left: 3 (129 enodes) 33.539 * * [simplify]: iters left: 2 (209 enodes) 33.590 * * [simplify]: iters left: 1 (391 enodes) 33.763 * * [simplify]: Extracting #0: cost 1 inf + 0 33.763 * * [simplify]: Extracting #1: cost 4 inf + 0 33.763 * * [simplify]: Extracting #2: cost 9 inf + 0 33.763 * * [simplify]: Extracting #3: cost 44 inf + 0 33.763 * * [simplify]: Extracting #4: cost 129 inf + 124 33.764 * * [simplify]: Extracting #5: cost 158 inf + 713 33.766 * * [simplify]: Extracting #6: cost 95 inf + 10627 33.773 * * [simplify]: Extracting #7: cost 29 inf + 44626 33.790 * * [simplify]: Extracting #8: cost 0 inf + 72077 33.811 * * [simplify]: Extracting #9: cost 0 inf + 70309 33.832 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 33.832 * [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))))) 33.832 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 33.832 * * [simplify]: iters left: 6 (14 enodes) 33.836 * * [simplify]: iters left: 5 (57 enodes) 33.846 * * [simplify]: iters left: 4 (91 enodes) 33.864 * * [simplify]: iters left: 3 (129 enodes) 33.905 * * [simplify]: iters left: 2 (209 enodes) 33.973 * * [simplify]: iters left: 1 (391 enodes) 34.125 * * [simplify]: Extracting #0: cost 1 inf + 0 34.125 * * [simplify]: Extracting #1: cost 4 inf + 0 34.125 * * [simplify]: Extracting #2: cost 9 inf + 0 34.125 * * [simplify]: Extracting #3: cost 44 inf + 0 34.126 * * [simplify]: Extracting #4: cost 129 inf + 124 34.126 * * [simplify]: Extracting #5: cost 158 inf + 713 34.129 * * [simplify]: Extracting #6: cost 95 inf + 10627 34.139 * * [simplify]: Extracting #7: cost 29 inf + 44626 34.149 * * [simplify]: Extracting #8: cost 0 inf + 72077 34.168 * * [simplify]: Extracting #9: cost 0 inf + 70309 34.189 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 34.189 * [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))))) 34.189 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 34.189 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 34.190 * * [simplify]: iters left: 6 (12 enodes) 34.196 * * [simplify]: iters left: 5 (49 enodes) 34.212 * * [simplify]: iters left: 4 (83 enodes) 34.240 * * [simplify]: iters left: 3 (128 enodes) 34.284 * * [simplify]: iters left: 2 (214 enodes) 34.334 * * [simplify]: iters left: 1 (396 enodes) 34.512 * * [simplify]: Extracting #0: cost 1 inf + 0 34.512 * * [simplify]: Extracting #1: cost 5 inf + 0 34.513 * * [simplify]: Extracting #2: cost 36 inf + 1 34.513 * * [simplify]: Extracting #3: cost 136 inf + 2 34.515 * * [simplify]: Extracting #4: cost 172 inf + 302 34.517 * * [simplify]: Extracting #5: cost 155 inf + 2096 34.525 * * [simplify]: Extracting #6: cost 61 inf + 32487 34.544 * * [simplify]: Extracting #7: cost 9 inf + 63475 34.565 * * [simplify]: Extracting #8: cost 0 inf + 69358 34.587 * * [simplify]: Extracting #9: cost 0 inf + 68965 34.613 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 34.613 * [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)))) 34.614 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 34.614 * * [simplify]: iters left: 6 (13 enodes) 34.621 * * [simplify]: iters left: 5 (54 enodes) 34.639 * * [simplify]: iters left: 4 (88 enodes) 34.665 * * [simplify]: iters left: 3 (127 enodes) 34.686 * * [simplify]: iters left: 2 (207 enodes) 34.734 * * [simplify]: iters left: 1 (391 enodes) 34.888 * * [simplify]: Extracting #0: cost 1 inf + 0 34.888 * * [simplify]: Extracting #1: cost 4 inf + 0 34.888 * * [simplify]: Extracting #2: cost 9 inf + 0 34.888 * * [simplify]: Extracting #3: cost 34 inf + 1 34.889 * * [simplify]: Extracting #4: cost 122 inf + 84 34.889 * * [simplify]: Extracting #5: cost 155 inf + 634 34.896 * * [simplify]: Extracting #6: cost 98 inf + 12022 34.904 * * [simplify]: Extracting #7: cost 18 inf + 50044 34.917 * * [simplify]: Extracting #8: cost 0 inf + 62916 34.937 * * [simplify]: Extracting #9: cost 0 inf + 62110 34.958 * * [simplify]: Extracting #10: cost 0 inf + 61837 34.969 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 34.969 * [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)))) 34.969 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 34.969 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 34.969 * * [simplify]: iters left: 6 (6 enodes) 34.971 * * [simplify]: iters left: 5 (22 enodes) 34.974 * * [simplify]: iters left: 4 (26 enodes) 34.978 * * [simplify]: Extracting #0: cost 1 inf + 0 34.978 * * [simplify]: Extracting #1: cost 6 inf + 0 34.978 * * [simplify]: Extracting #2: cost 9 inf + 1 34.978 * * [simplify]: Extracting #3: cost 11 inf + 1 34.978 * * [simplify]: Extracting #4: cost 8 inf + 84 34.979 * * [simplify]: Extracting #5: cost 2 inf + 1013 34.979 * * [simplify]: Extracting #6: cost 0 inf + 1376 34.979 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 34.979 * [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))))) 34.979 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 34.979 * * [simplify]: iters left: 6 (13 enodes) 34.983 * * [simplify]: iters left: 5 (54 enodes) 34.996 * * [simplify]: iters left: 4 (89 enodes) 35.026 * * [simplify]: iters left: 3 (138 enodes) 35.072 * * [simplify]: iters left: 2 (235 enodes) 35.147 * * [simplify]: iters left: 1 (482 enodes) 35.375 * * [simplify]: Extracting #0: cost 1 inf + 0 35.376 * * [simplify]: Extracting #1: cost 47 inf + 0 35.377 * * [simplify]: Extracting #2: cost 150 inf + 0 35.378 * * [simplify]: Extracting #3: cost 235 inf + 3 35.381 * * [simplify]: Extracting #4: cost 233 inf + 1458 35.388 * * [simplify]: Extracting #5: cost 149 inf + 21445 35.400 * * [simplify]: Extracting #6: cost 48 inf + 83738 35.429 * * [simplify]: Extracting #7: cost 0 inf + 129683 35.455 * * [simplify]: Extracting #8: cost 0 inf + 129402 35.475 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 35.475 * [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))))) 35.475 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 35.475 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 35.475 * * [simplify]: iters left: 6 (6 enodes) 35.478 * * [simplify]: iters left: 5 (21 enodes) 35.485 * * [simplify]: iters left: 4 (23 enodes) 35.491 * * [simplify]: Extracting #0: cost 1 inf + 0 35.491 * * [simplify]: Extracting #1: cost 4 inf + 0 35.491 * * [simplify]: Extracting #2: cost 6 inf + 1 35.492 * * [simplify]: Extracting #3: cost 9 inf + 1 35.492 * * [simplify]: Extracting #4: cost 8 inf + 2 35.492 * * [simplify]: Extracting #5: cost 1 inf + 810 35.492 * * [simplify]: Extracting #6: cost 0 inf + 972 35.492 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 35.492 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 35.493 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 35.493 * * [simplify]: iters left: 6 (13 enodes) 35.500 * * [simplify]: iters left: 5 (54 enodes) 35.519 * * [simplify]: iters left: 4 (89 enodes) 35.547 * * [simplify]: iters left: 3 (138 enodes) 35.578 * * [simplify]: iters left: 2 (235 enodes) 35.623 * * [simplify]: iters left: 1 (482 enodes) 35.818 * * [simplify]: Extracting #0: cost 1 inf + 0 35.818 * * [simplify]: Extracting #1: cost 47 inf + 0 35.819 * * [simplify]: Extracting #2: cost 150 inf + 0 35.821 * * [simplify]: Extracting #3: cost 235 inf + 3 35.823 * * [simplify]: Extracting #4: cost 233 inf + 1498 35.830 * * [simplify]: Extracting #5: cost 149 inf + 21525 35.854 * * [simplify]: Extracting #6: cost 48 inf + 83818 35.891 * * [simplify]: Extracting #7: cost 0 inf + 129763 35.923 * * [simplify]: Extracting #8: cost 0 inf + 129482 35.943 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k))) 35.943 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k))))) 35.943 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 35.943 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 35.943 * * [simplify]: iters left: 4 (5 enodes) 35.945 * * [simplify]: iters left: 3 (17 enodes) 35.948 * * [simplify]: iters left: 2 (19 enodes) 35.951 * * [simplify]: Extracting #0: cost 1 inf + 0 35.951 * * [simplify]: Extracting #1: cost 4 inf + 0 35.951 * * [simplify]: Extracting #2: cost 5 inf + 1 35.951 * * [simplify]: Extracting #3: cost 7 inf + 1 35.951 * * [simplify]: Extracting #4: cost 0 inf + 490 35.951 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 35.952 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 35.952 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 35.952 * * [simplify]: iters left: 6 (13 enodes) 35.956 * * [simplify]: iters left: 5 (54 enodes) 35.974 * * [simplify]: iters left: 4 (89 enodes) 36.003 * * [simplify]: iters left: 3 (138 enodes) 36.042 * * [simplify]: iters left: 2 (235 enodes) 36.088 * * [simplify]: iters left: 1 (482 enodes) 36.303 * * [simplify]: Extracting #0: cost 1 inf + 0 36.303 * * [simplify]: Extracting #1: cost 47 inf + 0 36.304 * * [simplify]: Extracting #2: cost 150 inf + 0 36.306 * * [simplify]: Extracting #3: cost 235 inf + 3 36.308 * * [simplify]: Extracting #4: cost 233 inf + 1378 36.315 * * [simplify]: Extracting #5: cost 149 inf + 20965 36.328 * * [simplify]: Extracting #6: cost 48 inf + 81578 36.353 * * [simplify]: Extracting #7: cost 0 inf + 126363 36.392 * * [simplify]: Extracting #8: cost 0 inf + 126082 36.434 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 36.434 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 36.435 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 36.435 * [simplify]: Simplifying (/ 1 (sqrt 1)) 36.435 * * [simplify]: iters left: 3 (3 enodes) 36.441 * * [simplify]: iters left: 2 (11 enodes) 36.444 * * [simplify]: iters left: 1 (13 enodes) 36.447 * * [simplify]: Extracting #0: cost 1 inf + 0 36.447 * * [simplify]: Extracting #1: cost 0 inf + 1 36.447 * [simplify]: Simplified to 1 36.448 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 36.448 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 36.448 * * [simplify]: iters left: 6 (12 enodes) 36.455 * * [simplify]: iters left: 5 (51 enodes) 36.472 * * [simplify]: iters left: 4 (86 enodes) 36.500 * * [simplify]: iters left: 3 (135 enodes) 36.544 * * [simplify]: iters left: 2 (232 enodes) 36.603 * * [simplify]: iters left: 1 (483 enodes) 36.863 * * [simplify]: Extracting #0: cost 1 inf + 0 36.863 * * [simplify]: Extracting #1: cost 47 inf + 0 36.864 * * [simplify]: Extracting #2: cost 158 inf + 0 36.864 * * [simplify]: Extracting #3: cost 244 inf + 4 36.866 * * [simplify]: Extracting #4: cost 240 inf + 2049 36.869 * * [simplify]: Extracting #5: cost 169 inf + 14829 36.880 * * [simplify]: Extracting #6: cost 53 inf + 92049 36.898 * * [simplify]: Extracting #7: cost 2 inf + 134552 36.917 * * [simplify]: Extracting #8: cost 0 inf + 136628 36.936 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 36.936 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 36.936 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 36.936 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 36.936 * * [simplify]: iters left: 4 (5 enodes) 36.940 * * [simplify]: iters left: 3 (17 enodes) 36.943 * * [simplify]: iters left: 2 (19 enodes) 36.946 * * [simplify]: Extracting #0: cost 1 inf + 0 36.946 * * [simplify]: Extracting #1: cost 4 inf + 0 36.946 * * [simplify]: Extracting #2: cost 5 inf + 1 36.946 * * [simplify]: Extracting #3: cost 7 inf + 1 36.946 * * [simplify]: Extracting #4: cost 0 inf + 490 36.946 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 36.946 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 36.946 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 36.946 * * [simplify]: iters left: 6 (13 enodes) 36.950 * * [simplify]: iters left: 5 (54 enodes) 36.962 * * [simplify]: iters left: 4 (89 enodes) 36.989 * * [simplify]: iters left: 3 (138 enodes) 37.036 * * [simplify]: iters left: 2 (235 enodes) 37.111 * * [simplify]: iters left: 1 (482 enodes) 37.330 * * [simplify]: Extracting #0: cost 1 inf + 0 37.331 * * [simplify]: Extracting #1: cost 47 inf + 0 37.331 * * [simplify]: Extracting #2: cost 150 inf + 0 37.333 * * [simplify]: Extracting #3: cost 235 inf + 3 37.336 * * [simplify]: Extracting #4: cost 233 inf + 1378 37.343 * * [simplify]: Extracting #5: cost 149 inf + 20965 37.374 * * [simplify]: Extracting #6: cost 48 inf + 81578 37.413 * * [simplify]: Extracting #7: cost 0 inf + 126363 37.435 * * [simplify]: Extracting #8: cost 0 inf + 126082 37.454 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 37.454 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 37.455 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 37.456 * [simplify]: Simplifying (/ 1 1) 37.456 * * [simplify]: iters left: 2 (2 enodes) 37.457 * * [simplify]: iters left: 1 (6 enodes) 37.458 * * [simplify]: Extracting #0: cost 1 inf + 0 37.458 * * [simplify]: Extracting #1: cost 0 inf + 1 37.458 * [simplify]: Simplified to 1 37.458 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 37.459 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 37.459 * * [simplify]: iters left: 6 (12 enodes) 37.462 * * [simplify]: iters left: 5 (51 enodes) 37.471 * * [simplify]: iters left: 4 (86 enodes) 37.497 * * [simplify]: iters left: 3 (135 enodes) 37.537 * * [simplify]: iters left: 2 (232 enodes) 37.593 * * [simplify]: iters left: 1 (483 enodes) 37.865 * * [simplify]: Extracting #0: cost 1 inf + 0 37.865 * * [simplify]: Extracting #1: cost 47 inf + 0 37.866 * * [simplify]: Extracting #2: cost 158 inf + 0 37.867 * * [simplify]: Extracting #3: cost 244 inf + 4 37.868 * * [simplify]: Extracting #4: cost 240 inf + 2049 37.872 * * [simplify]: Extracting #5: cost 169 inf + 14829 37.884 * * [simplify]: Extracting #6: cost 53 inf + 92049 37.907 * * [simplify]: Extracting #7: cost 2 inf + 134552 37.933 * * [simplify]: Extracting #8: cost 0 inf + 136628 37.970 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 37.970 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 37.970 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 37.971 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 37.971 * * [simplify]: iters left: 6 (15 enodes) 37.980 * * [simplify]: iters left: 5 (65 enodes) 38.002 * * [simplify]: iters left: 4 (109 enodes) 38.043 * * [simplify]: iters left: 3 (188 enodes) 38.084 * * [simplify]: iters left: 2 (375 enodes) 38.220 * * [simplify]: Extracting #0: cost 1 inf + 0 38.220 * * [simplify]: Extracting #1: cost 53 inf + 0 38.221 * * [simplify]: Extracting #2: cost 144 inf + 0 38.221 * * [simplify]: Extracting #3: cost 223 inf + 2 38.223 * * [simplify]: Extracting #4: cost 220 inf + 1668 38.226 * * [simplify]: Extracting #5: cost 157 inf + 15777 38.239 * * [simplify]: Extracting #6: cost 54 inf + 81326 38.256 * * [simplify]: Extracting #7: cost 3 inf + 123233 38.289 * * [simplify]: Extracting #8: cost 0 inf + 124736 38.306 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 38.306 * [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))))) 38.307 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 38.307 * * [simplify]: iters left: 6 (14 enodes) 38.314 * * [simplify]: iters left: 5 (60 enodes) 38.334 * * [simplify]: iters left: 4 (98 enodes) 38.370 * * [simplify]: iters left: 3 (160 enodes) 38.415 * * [simplify]: iters left: 2 (297 enodes) 38.499 * * [simplify]: Extracting #0: cost 1 inf + 0 38.499 * * [simplify]: Extracting #1: cost 30 inf + 0 38.499 * * [simplify]: Extracting #2: cost 75 inf + 0 38.499 * * [simplify]: Extracting #3: cost 137 inf + 2 38.500 * * [simplify]: Extracting #4: cost 144 inf + 473 38.501 * * [simplify]: Extracting #5: cost 104 inf + 5190 38.506 * * [simplify]: Extracting #6: cost 34 inf + 35052 38.513 * * [simplify]: Extracting #7: cost 2 inf + 59033 38.521 * * [simplify]: Extracting #8: cost 0 inf + 60243 38.535 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 38.535 * [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))))) 38.535 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 38.535 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 38.535 * * [simplify]: iters left: 6 (15 enodes) 38.544 * * [simplify]: iters left: 5 (64 enodes) 38.555 * * [simplify]: iters left: 4 (102 enodes) 38.578 * * [simplify]: iters left: 3 (164 enodes) 38.608 * * [simplify]: iters left: 2 (303 enodes) 38.683 * * [simplify]: Extracting #0: cost 1 inf + 0 38.683 * * [simplify]: Extracting #1: cost 30 inf + 0 38.683 * * [simplify]: Extracting #2: cost 75 inf + 0 38.683 * * [simplify]: Extracting #3: cost 140 inf + 2 38.684 * * [simplify]: Extracting #4: cost 150 inf + 307 38.685 * * [simplify]: Extracting #5: cost 103 inf + 6133 38.690 * * [simplify]: Extracting #6: cost 33 inf + 34449 38.697 * * [simplify]: Extracting #7: cost 1 inf + 57859 38.705 * * [simplify]: Extracting #8: cost 0 inf + 58342 38.720 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 38.720 * [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))))) 38.721 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 38.721 * * [simplify]: iters left: 6 (14 enodes) 38.729 * * [simplify]: iters left: 5 (60 enodes) 38.749 * * [simplify]: iters left: 4 (98 enodes) 38.786 * * [simplify]: iters left: 3 (160 enodes) 38.818 * * [simplify]: iters left: 2 (297 enodes) 38.909 * * [simplify]: Extracting #0: cost 1 inf + 0 38.909 * * [simplify]: Extracting #1: cost 30 inf + 0 38.909 * * [simplify]: Extracting #2: cost 75 inf + 0 38.909 * * [simplify]: Extracting #3: cost 137 inf + 2 38.910 * * [simplify]: Extracting #4: cost 144 inf + 473 38.911 * * [simplify]: Extracting #5: cost 104 inf + 5270 38.916 * * [simplify]: Extracting #6: cost 34 inf + 35132 38.930 * * [simplify]: Extracting #7: cost 2 inf + 59113 38.938 * * [simplify]: Extracting #8: cost 0 inf + 60323 38.946 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 38.946 * [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))))) 38.946 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 38.947 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 38.947 * * [simplify]: iters left: 6 (14 enodes) 38.951 * * [simplify]: iters left: 5 (60 enodes) 38.962 * * [simplify]: iters left: 4 (98 enodes) 38.998 * * [simplify]: iters left: 3 (160 enodes) 39.046 * * [simplify]: iters left: 2 (297 enodes) 39.114 * * [simplify]: Extracting #0: cost 1 inf + 0 39.114 * * [simplify]: Extracting #1: cost 30 inf + 0 39.114 * * [simplify]: Extracting #2: cost 75 inf + 0 39.115 * * [simplify]: Extracting #3: cost 137 inf + 2 39.115 * * [simplify]: Extracting #4: cost 144 inf + 473 39.117 * * [simplify]: Extracting #5: cost 104 inf + 5110 39.123 * * [simplify]: Extracting #6: cost 34 inf + 34212 39.138 * * [simplify]: Extracting #7: cost 2 inf + 57633 39.154 * * [simplify]: Extracting #8: cost 0 inf + 58763 39.171 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 39.171 * [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))))) 39.172 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 39.172 * * [simplify]: iters left: 6 (14 enodes) 39.180 * * [simplify]: iters left: 5 (60 enodes) 39.200 * * [simplify]: iters left: 4 (98 enodes) 39.236 * * [simplify]: iters left: 3 (160 enodes) 39.267 * * [simplify]: iters left: 2 (297 enodes) 39.350 * * [simplify]: Extracting #0: cost 1 inf + 0 39.350 * * [simplify]: Extracting #1: cost 30 inf + 0 39.350 * * [simplify]: Extracting #2: cost 75 inf + 0 39.351 * * [simplify]: Extracting #3: cost 137 inf + 2 39.352 * * [simplify]: Extracting #4: cost 144 inf + 473 39.355 * * [simplify]: Extracting #5: cost 104 inf + 5110 39.364 * * [simplify]: Extracting #6: cost 34 inf + 34212 39.372 * * [simplify]: Extracting #7: cost 2 inf + 57633 39.380 * * [simplify]: Extracting #8: cost 0 inf + 58763 39.388 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 39.388 * [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))))) 39.388 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 39.388 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 39.388 * * [simplify]: iters left: 6 (13 enodes) 39.393 * * [simplify]: iters left: 5 (57 enodes) 39.403 * * [simplify]: iters left: 4 (93 enodes) 39.426 * * [simplify]: iters left: 3 (153 enodes) 39.480 * * [simplify]: iters left: 2 (288 enodes) 39.572 * * [simplify]: Extracting #0: cost 1 inf + 0 39.572 * * [simplify]: Extracting #1: cost 26 inf + 0 39.573 * * [simplify]: Extracting #2: cost 90 inf + 2 39.573 * * [simplify]: Extracting #3: cost 135 inf + 9 39.574 * * [simplify]: Extracting #4: cost 129 inf + 806 39.577 * * [simplify]: Extracting #5: cost 45 inf + 19372 39.583 * * [simplify]: Extracting #6: cost 2 inf + 39332 39.591 * * [simplify]: Extracting #7: cost 0 inf + 40065 39.598 * * [simplify]: Extracting #8: cost 0 inf + 40026 39.606 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 39.606 * [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)))) 39.606 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 39.606 * * [simplify]: iters left: 6 (13 enodes) 39.611 * * [simplify]: iters left: 5 (57 enodes) 39.621 * * [simplify]: iters left: 4 (95 enodes) 39.641 * * [simplify]: iters left: 3 (157 enodes) 39.680 * * [simplify]: iters left: 2 (295 enodes) 39.765 * * [simplify]: Extracting #0: cost 1 inf + 0 39.765 * * [simplify]: Extracting #1: cost 30 inf + 0 39.766 * * [simplify]: Extracting #2: cost 72 inf + 0 39.767 * * [simplify]: Extracting #3: cost 133 inf + 3 39.768 * * [simplify]: Extracting #4: cost 130 inf + 1717 39.774 * * [simplify]: Extracting #5: cost 67 inf + 18858 39.782 * * [simplify]: Extracting #6: cost 0 inf + 51321 39.790 * * [simplify]: Extracting #7: cost 0 inf + 50648 39.799 * * [simplify]: Extracting #8: cost 0 inf + 50104 39.811 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 39.811 * [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)))) 39.811 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 39.811 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 39.811 * * [simplify]: iters left: 6 (14 enodes) 39.820 * * [simplify]: iters left: 5 (60 enodes) 39.844 * * [simplify]: iters left: 4 (98 enodes) 39.862 * * [simplify]: iters left: 3 (160 enodes) 39.893 * * [simplify]: iters left: 2 (297 enodes) 40.002 * * [simplify]: Extracting #0: cost 1 inf + 0 40.002 * * [simplify]: Extracting #1: cost 30 inf + 0 40.003 * * [simplify]: Extracting #2: cost 75 inf + 0 40.003 * * [simplify]: Extracting #3: cost 137 inf + 2 40.004 * * [simplify]: Extracting #4: cost 144 inf + 473 40.008 * * [simplify]: Extracting #5: cost 104 inf + 5110 40.016 * * [simplify]: Extracting #6: cost 34 inf + 34212 40.031 * * [simplify]: Extracting #7: cost 2 inf + 57633 40.047 * * [simplify]: Extracting #8: cost 0 inf + 58763 40.063 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 40.063 * [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))))) 40.063 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 40.063 * * [simplify]: iters left: 6 (14 enodes) 40.071 * * [simplify]: iters left: 5 (60 enodes) 40.095 * * [simplify]: iters left: 4 (98 enodes) 40.127 * * [simplify]: iters left: 3 (160 enodes) 40.170 * * [simplify]: iters left: 2 (297 enodes) 40.242 * * [simplify]: Extracting #0: cost 1 inf + 0 40.242 * * [simplify]: Extracting #1: cost 30 inf + 0 40.242 * * [simplify]: Extracting #2: cost 75 inf + 0 40.243 * * [simplify]: Extracting #3: cost 137 inf + 2 40.243 * * [simplify]: Extracting #4: cost 144 inf + 473 40.245 * * [simplify]: Extracting #5: cost 104 inf + 5110 40.249 * * [simplify]: Extracting #6: cost 34 inf + 34212 40.256 * * [simplify]: Extracting #7: cost 2 inf + 57633 40.264 * * [simplify]: Extracting #8: cost 0 inf + 58763 40.273 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 40.273 * [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))))) 40.273 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 40.274 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 40.274 * * [simplify]: iters left: 6 (12 enodes) 40.282 * * [simplify]: iters left: 5 (52 enodes) 40.297 * * [simplify]: iters left: 4 (90 enodes) 40.314 * * [simplify]: iters left: 3 (158 enodes) 40.365 * * [simplify]: iters left: 2 (296 enodes) 40.466 * * [simplify]: Extracting #0: cost 1 inf + 0 40.466 * * [simplify]: Extracting #1: cost 30 inf + 0 40.467 * * [simplify]: Extracting #2: cost 111 inf + 2 40.468 * * [simplify]: Extracting #3: cost 157 inf + 219 40.469 * * [simplify]: Extracting #4: cost 154 inf + 764 40.473 * * [simplify]: Extracting #5: cost 81 inf + 14082 40.487 * * [simplify]: Extracting #6: cost 6 inf + 56924 40.504 * * [simplify]: Extracting #7: cost 0 inf + 61156 40.516 * * [simplify]: Extracting #8: cost 0 inf + 60894 40.528 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 40.528 * [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)))) 40.528 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 40.528 * * [simplify]: iters left: 6 (13 enodes) 40.533 * * [simplify]: iters left: 5 (57 enodes) 40.544 * * [simplify]: iters left: 4 (95 enodes) 40.571 * * [simplify]: iters left: 3 (157 enodes) 40.628 * * [simplify]: iters left: 2 (295 enodes) 40.743 * * [simplify]: Extracting #0: cost 1 inf + 0 40.743 * * [simplify]: Extracting #1: cost 30 inf + 0 40.744 * * [simplify]: Extracting #2: cost 72 inf + 0 40.745 * * [simplify]: Extracting #3: cost 133 inf + 3 40.746 * * [simplify]: Extracting #4: cost 130 inf + 1717 40.753 * * [simplify]: Extracting #5: cost 67 inf + 18858 40.767 * * [simplify]: Extracting #6: cost 0 inf + 51321 40.779 * * [simplify]: Extracting #7: cost 0 inf + 50648 40.787 * * [simplify]: Extracting #8: cost 0 inf + 50104 40.798 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 40.798 * [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)))) 40.798 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 40.798 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 40.798 * [simplify]: Simplifying (/ 1 (sqrt k)) 40.798 * * [simplify]: iters left: 3 (4 enodes) 40.800 * * [simplify]: iters left: 2 (14 enodes) 40.805 * * [simplify]: iters left: 1 (16 enodes) 40.810 * * [simplify]: Extracting #0: cost 1 inf + 0 40.810 * * [simplify]: Extracting #1: cost 4 inf + 0 40.810 * * [simplify]: Extracting #2: cost 5 inf + 1 40.810 * * [simplify]: Extracting #3: cost 3 inf + 43 40.810 * * [simplify]: Extracting #4: cost 1 inf + 166 40.810 * * [simplify]: Extracting #5: cost 0 inf + 248 40.810 * [simplify]: Simplified to (/ 1 (sqrt k)) 40.810 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 40.810 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 40.811 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 40.811 * * [simplify]: iters left: 6 (12 enodes) 40.818 * * [simplify]: iters left: 5 (51 enodes) 40.830 * * [simplify]: iters left: 4 (86 enodes) 40.844 * * [simplify]: iters left: 3 (133 enodes) 40.866 * * [simplify]: iters left: 2 (224 enodes) 40.912 * * [simplify]: iters left: 1 (420 enodes) 41.107 * * [simplify]: Extracting #0: cost 1 inf + 0 41.107 * * [simplify]: Extracting #1: cost 6 inf + 0 41.107 * * [simplify]: Extracting #2: cost 43 inf + 0 41.107 * * [simplify]: Extracting #3: cost 140 inf + 84 41.108 * * [simplify]: Extracting #4: cost 181 inf + 549 41.110 * * [simplify]: Extracting #5: cost 140 inf + 5333 41.113 * * [simplify]: Extracting #6: cost 77 inf + 20391 41.126 * * [simplify]: Extracting #7: cost 23 inf + 59474 41.142 * * [simplify]: Extracting #8: cost 0 inf + 81348 41.154 * * [simplify]: Extracting #9: cost 0 inf + 81231 41.170 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 41.170 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 41.170 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 41.171 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 41.171 * * [simplify]: iters left: 6 (14 enodes) 41.179 * * [simplify]: iters left: 5 (59 enodes) 41.199 * * [simplify]: iters left: 4 (100 enodes) 41.231 * * [simplify]: iters left: 3 (160 enodes) 41.285 * * [simplify]: iters left: 2 (302 enodes) 41.395 * * [simplify]: Extracting #0: cost 1 inf + 0 41.395 * * [simplify]: Extracting #1: cost 56 inf + 0 41.396 * * [simplify]: Extracting #2: cost 147 inf + 0 41.398 * * [simplify]: Extracting #3: cost 212 inf + 2 41.401 * * [simplify]: Extracting #4: cost 188 inf + 6669 41.423 * * [simplify]: Extracting #5: cost 61 inf + 73054 41.458 * * [simplify]: Extracting #6: cost 0 inf + 110634 41.493 * * [simplify]: Extracting #7: cost 0 inf + 109201 41.529 * * [simplify]: Extracting #8: cost 0 inf + 108539 41.562 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 41.562 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 41.562 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 41.563 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 41.563 * * [simplify]: iters left: 6 (14 enodes) 41.567 * * [simplify]: iters left: 5 (58 enodes) 41.577 * * [simplify]: iters left: 4 (93 enodes) 41.594 * * [simplify]: iters left: 3 (137 enodes) 41.636 * * [simplify]: iters left: 2 (233 enodes) 41.697 * * [simplify]: iters left: 1 (467 enodes) 41.981 * * [simplify]: Extracting #0: cost 1 inf + 0 41.981 * * [simplify]: Extracting #1: cost 57 inf + 0 41.982 * * [simplify]: Extracting #2: cost 164 inf + 0 41.983 * * [simplify]: Extracting #3: cost 235 inf + 3 41.986 * * [simplify]: Extracting #4: cost 233 inf + 1791 41.998 * * [simplify]: Extracting #5: cost 134 inf + 49359 42.033 * * [simplify]: Extracting #6: cost 23 inf + 127594 42.072 * * [simplify]: Extracting #7: cost 0 inf + 145250 42.118 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) 42.118 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) (sqrt (cbrt k)))) 42.119 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 42.119 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 42.119 * * [simplify]: iters left: 6 (13 enodes) 42.126 * * [simplify]: iters left: 5 (54 enodes) 42.144 * * [simplify]: iters left: 4 (89 enodes) 42.172 * * [simplify]: iters left: 3 (138 enodes) 42.219 * * [simplify]: iters left: 2 (235 enodes) 42.308 * * [simplify]: iters left: 1 (482 enodes) 42.508 * * [simplify]: Extracting #0: cost 1 inf + 0 42.508 * * [simplify]: Extracting #1: cost 47 inf + 0 42.509 * * [simplify]: Extracting #2: cost 150 inf + 0 42.509 * * [simplify]: Extracting #3: cost 235 inf + 3 42.516 * * [simplify]: Extracting #4: cost 233 inf + 1378 42.519 * * [simplify]: Extracting #5: cost 149 inf + 20965 42.532 * * [simplify]: Extracting #6: cost 48 inf + 81578 42.561 * * [simplify]: Extracting #7: cost 0 inf + 126363 42.598 * * [simplify]: Extracting #8: cost 0 inf + 126082 42.622 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 42.622 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 42.623 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 42.623 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) 42.623 * * [simplify]: iters left: 6 (12 enodes) 42.629 * * [simplify]: iters left: 5 (51 enodes) 42.642 * * [simplify]: iters left: 4 (84 enodes) 42.656 * * [simplify]: iters left: 3 (131 enodes) 42.678 * * [simplify]: iters left: 2 (224 enodes) 42.725 * * [simplify]: iters left: 1 (449 enodes) 42.972 * * [simplify]: Extracting #0: cost 1 inf + 0 42.973 * * [simplify]: Extracting #1: cost 60 inf + 0 42.973 * * [simplify]: Extracting #2: cost 170 inf + 2 42.974 * * [simplify]: Extracting #3: cost 230 inf + 176 42.976 * * [simplify]: Extracting #4: cost 214 inf + 1512 42.981 * * [simplify]: Extracting #5: cost 104 inf + 39014 43.005 * * [simplify]: Extracting #6: cost 7 inf + 99729 43.028 * * [simplify]: Extracting #7: cost 0 inf + 102494 43.058 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 43.058 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 43.058 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 43.058 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 43.059 * * [simplify]: iters left: 6 (13 enodes) 43.066 * * [simplify]: iters left: 5 (54 enodes) 43.076 * * [simplify]: iters left: 4 (89 enodes) 43.091 * * [simplify]: iters left: 3 (138 enodes) 43.129 * * [simplify]: iters left: 2 (235 enodes) 43.182 * * [simplify]: iters left: 1 (482 enodes) 43.395 * * [simplify]: Extracting #0: cost 1 inf + 0 43.395 * * [simplify]: Extracting #1: cost 47 inf + 0 43.395 * * [simplify]: Extracting #2: cost 150 inf + 0 43.396 * * [simplify]: Extracting #3: cost 235 inf + 3 43.398 * * [simplify]: Extracting #4: cost 233 inf + 1378 43.401 * * [simplify]: Extracting #5: cost 149 inf + 20965 43.414 * * [simplify]: Extracting #6: cost 48 inf + 81578 43.451 * * [simplify]: Extracting #7: cost 0 inf + 126363 43.489 * * [simplify]: Extracting #8: cost 0 inf + 126082 43.531 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 43.532 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 43.532 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 43.532 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) 43.532 * * [simplify]: iters left: 6 (11 enodes) 43.536 * * [simplify]: iters left: 5 (46 enodes) 43.544 * * [simplify]: iters left: 4 (77 enodes) 43.558 * * [simplify]: iters left: 3 (131 enodes) 43.581 * * [simplify]: iters left: 2 (250 enodes) 43.657 * * [simplify]: Extracting #0: cost 1 inf + 0 43.657 * * [simplify]: Extracting #1: cost 31 inf + 0 43.658 * * [simplify]: Extracting #2: cost 107 inf + 2 43.659 * * [simplify]: Extracting #3: cost 142 inf + 217 43.660 * * [simplify]: Extracting #4: cost 137 inf + 762 43.663 * * [simplify]: Extracting #5: cost 95 inf + 5525 43.669 * * [simplify]: Extracting #6: cost 46 inf + 26013 43.682 * * [simplify]: Extracting #7: cost 2 inf + 56970 43.697 * * [simplify]: Extracting #8: cost 0 inf + 57495 43.704 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 43.705 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 43.705 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 43.705 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 43.705 * * [simplify]: iters left: 6 (10 enodes) 43.708 * * [simplify]: iters left: 5 (42 enodes) 43.715 * * [simplify]: iters left: 4 (65 enodes) 43.740 * * [simplify]: iters left: 3 (104 enodes) 43.779 * * [simplify]: iters left: 2 (206 enodes) 43.856 * * [simplify]: iters left: 1 (397 enodes) 44.014 * * [simplify]: Extracting #0: cost 1 inf + 0 44.014 * * [simplify]: Extracting #1: cost 6 inf + 0 44.014 * * [simplify]: Extracting #2: cost 44 inf + 0 44.014 * * [simplify]: Extracting #3: cost 137 inf + 84 44.015 * * [simplify]: Extracting #4: cost 186 inf + 1506 44.018 * * [simplify]: Extracting #5: cost 119 inf + 11102 44.025 * * [simplify]: Extracting #6: cost 30 inf + 56431 44.048 * * [simplify]: Extracting #7: cost 0 inf + 79161 44.065 * * [simplify]: Extracting #8: cost 0 inf + 76983 44.077 * * [simplify]: Extracting #9: cost 0 inf + 76243 44.088 * * [simplify]: Extracting #10: cost 0 inf + 75754 44.108 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 44.109 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 44.109 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 44.109 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 44.109 * * [simplify]: iters left: 6 (13 enodes) 44.116 * * [simplify]: iters left: 5 (54 enodes) 44.134 * * [simplify]: iters left: 4 (87 enodes) 44.148 * * [simplify]: iters left: 3 (129 enodes) 44.178 * * [simplify]: iters left: 2 (210 enodes) 44.251 * * [simplify]: iters left: 1 (393 enodes) 44.373 * * [simplify]: Extracting #0: cost 1 inf + 0 44.373 * * [simplify]: Extracting #1: cost 4 inf + 0 44.374 * * [simplify]: Extracting #2: cost 8 inf + 0 44.374 * * [simplify]: Extracting #3: cost 34 inf + 1 44.374 * * [simplify]: Extracting #4: cost 113 inf + 43 44.375 * * [simplify]: Extracting #5: cost 161 inf + 301 44.377 * * [simplify]: Extracting #6: cost 119 inf + 6048 44.380 * * [simplify]: Extracting #7: cost 59 inf + 18888 44.393 * * [simplify]: Extracting #8: cost 14 inf + 51212 44.414 * * [simplify]: Extracting #9: cost 0 inf + 64342 44.435 * * [simplify]: Extracting #10: cost 0 inf + 64171 44.449 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 44.450 * [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)))))) 44.450 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 44.450 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 44.450 * * [simplify]: iters left: 6 (13 enodes) 44.454 * * [simplify]: iters left: 5 (54 enodes) 44.463 * * [simplify]: iters left: 4 (88 enodes) 44.477 * * [simplify]: iters left: 3 (126 enodes) 44.515 * * [simplify]: iters left: 2 (206 enodes) 44.569 * * [simplify]: iters left: 1 (396 enodes) 44.706 * * [simplify]: Extracting #0: cost 1 inf + 0 44.706 * * [simplify]: Extracting #1: cost 4 inf + 0 44.706 * * [simplify]: Extracting #2: cost 9 inf + 0 44.706 * * [simplify]: Extracting #3: cost 38 inf + 1 44.707 * * [simplify]: Extracting #4: cost 128 inf + 43 44.708 * * [simplify]: Extracting #5: cost 155 inf + 675 44.712 * * [simplify]: Extracting #6: cost 104 inf + 8174 44.724 * * [simplify]: Extracting #7: cost 37 inf + 35801 44.744 * * [simplify]: Extracting #8: cost 0 inf + 67552 44.764 * * [simplify]: Extracting #9: cost 0 inf + 65556 44.784 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 44.784 * [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)))))) 44.784 * * * * [progress]: [ 115 / 127 ] simplifiying candidate # 44.785 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 44.785 * * [simplify]: iters left: 6 (12 enodes) 44.792 * * [simplify]: iters left: 5 (51 enodes) 44.809 * * [simplify]: iters left: 4 (86 enodes) 44.836 * * [simplify]: iters left: 3 (133 enodes) 44.884 * * [simplify]: iters left: 2 (224 enodes) 44.965 * * [simplify]: iters left: 1 (420 enodes) 45.151 * * [simplify]: Extracting #0: cost 1 inf + 0 45.151 * * [simplify]: Extracting #1: cost 6 inf + 0 45.151 * * [simplify]: Extracting #2: cost 43 inf + 0 45.152 * * [simplify]: Extracting #3: cost 140 inf + 84 45.154 * * [simplify]: Extracting #4: cost 181 inf + 549 45.157 * * [simplify]: Extracting #5: cost 140 inf + 5333 45.165 * * [simplify]: Extracting #6: cost 77 inf + 20391 45.185 * * [simplify]: Extracting #7: cost 23 inf + 59474 45.202 * * [simplify]: Extracting #8: cost 0 inf + 81348 45.213 * * [simplify]: Extracting #9: cost 0 inf + 81231 45.227 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 45.227 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 45.228 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 45.228 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 45.228 * * [simplify]: iters left: 6 (13 enodes) 45.236 * * [simplify]: iters left: 5 (57 enodes) 45.256 * * [simplify]: iters left: 4 (95 enodes) 45.284 * * [simplify]: iters left: 3 (150 enodes) 45.319 * * [simplify]: iters left: 2 (262 enodes) 45.401 * * [simplify]: iters left: 1 (476 enodes) 45.592 * * [simplify]: Extracting #0: cost 1 inf + 0 45.592 * * [simplify]: Extracting #1: cost 6 inf + 0 45.592 * * [simplify]: Extracting #2: cost 41 inf + 0 45.593 * * [simplify]: Extracting #3: cost 143 inf + 84 45.594 * * [simplify]: Extracting #4: cost 191 inf + 2155 45.597 * * [simplify]: Extracting #5: cost 124 inf + 11911 45.605 * * [simplify]: Extracting #6: cost 35 inf + 52758 45.618 * * [simplify]: Extracting #7: cost 2 inf + 78239 45.633 * * [simplify]: Extracting #8: cost 0 inf + 78600 45.646 * * [simplify]: Extracting #9: cost 0 inf + 78177 45.660 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 45.660 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))))) 45.660 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 45.660 * [simplify]: Simplifying (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))) 45.660 * * [simplify]: iters left: 6 (10 enodes) 45.665 * * [simplify]: iters left: 5 (38 enodes) 45.680 * * [simplify]: iters left: 4 (62 enodes) 45.699 * * [simplify]: iters left: 3 (104 enodes) 45.735 * * [simplify]: iters left: 2 (205 enodes) 45.808 * * [simplify]: iters left: 1 (488 enodes) 46.154 * * [simplify]: Extracting #0: cost 1 inf + 0 46.154 * * [simplify]: Extracting #1: cost 52 inf + 0 46.156 * * [simplify]: Extracting #2: cost 178 inf + 0 46.157 * * [simplify]: Extracting #3: cost 216 inf + 86 46.160 * * [simplify]: Extracting #4: cost 195 inf + 3856 46.165 * * [simplify]: Extracting #5: cost 151 inf + 10592 46.181 * * [simplify]: Extracting #6: cost 68 inf + 77148 46.200 * * [simplify]: Extracting #7: cost 1 inf + 143131 46.235 * * [simplify]: Extracting #8: cost 0 inf + 143119 46.255 * [simplify]: Simplified to (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)) 46.255 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)))) 46.255 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 46.255 * [simplify]: Simplifying (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 46.255 * * [simplify]: iters left: 6 (13 enodes) 46.260 * * [simplify]: iters left: 5 (51 enodes) 46.277 * * [simplify]: iters left: 4 (86 enodes) 46.303 * * [simplify]: iters left: 3 (131 enodes) 46.350 * * [simplify]: iters left: 2 (227 enodes) 46.410 * * [simplify]: iters left: 1 (479 enodes) 46.682 * * [simplify]: Extracting #0: cost 1 inf + 0 46.682 * * [simplify]: Extracting #1: cost 2 inf + 0 46.682 * * [simplify]: Extracting #2: cost 46 inf + 0 46.683 * * [simplify]: Extracting #3: cost 155 inf + 0 46.685 * * [simplify]: Extracting #4: cost 235 inf + 4 46.687 * * [simplify]: Extracting #5: cost 239 inf + 930 46.691 * * [simplify]: Extracting #6: cost 163 inf + 19837 46.701 * * [simplify]: Extracting #7: cost 56 inf + 87494 46.721 * * [simplify]: Extracting #8: cost 1 inf + 134590 46.749 * * [simplify]: Extracting #9: cost 0 inf + 131957 46.773 * * [simplify]: Extracting #10: cost 0 inf + 131916 46.807 * [simplify]: Simplified to (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 46.807 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 46.807 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 46.808 * [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))))) 46.808 * * [simplify]: iters left: 6 (37 enodes) 46.819 * * [simplify]: iters left: 5 (187 enodes) 46.889 * * [simplify]: iters left: 4 (488 enodes) 47.126 * * [simplify]: Extracting #0: cost 1 inf + 0 47.126 * * [simplify]: Extracting #1: cost 57 inf + 0 47.127 * * [simplify]: Extracting #2: cost 293 inf + 0 47.131 * * [simplify]: Extracting #3: cost 528 inf + 199 47.136 * * [simplify]: Extracting #4: cost 520 inf + 5092 47.160 * * [simplify]: Extracting #5: cost 310 inf + 80654 47.231 * * [simplify]: Extracting #6: cost 37 inf + 224929 47.309 * * [simplify]: Extracting #7: cost 0 inf + 247296 47.416 * * [simplify]: Extracting #8: cost 0 inf + 245223 47.487 * * [simplify]: Extracting #9: cost 0 inf + 245182 47.573 * [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)))))))) 47.573 * [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))) 47.574 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 47.574 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 47.574 * * [simplify]: iters left: 6 (15 enodes) 47.584 * * [simplify]: iters left: 5 (65 enodes) 47.606 * * [simplify]: iters left: 4 (123 enodes) 47.639 * * [simplify]: iters left: 3 (362 enodes) 47.801 * * [simplify]: Extracting #0: cost 1 inf + 0 47.802 * * [simplify]: Extracting #1: cost 36 inf + 0 47.802 * * [simplify]: Extracting #2: cost 211 inf + 1 47.805 * * [simplify]: Extracting #3: cost 352 inf + 1140 47.812 * * [simplify]: Extracting #4: cost 240 inf + 23280 47.834 * * [simplify]: Extracting #5: cost 34 inf + 77101 47.859 * * [simplify]: Extracting #6: cost 1 inf + 87428 47.874 * * [simplify]: Extracting #7: cost 0 inf + 88076 47.891 * * [simplify]: Extracting #8: cost 0 inf + 87995 47.922 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 47.922 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 47.922 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 47.922 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 47.922 * * [simplify]: iters left: 6 (16 enodes) 47.932 * * [simplify]: iters left: 5 (67 enodes) 47.946 * * [simplify]: iters left: 4 (134 enodes) 47.983 * * [simplify]: iters left: 3 (407 enodes) 48.169 * * [simplify]: Extracting #0: cost 1 inf + 0 48.169 * * [simplify]: Extracting #1: cost 38 inf + 0 48.170 * * [simplify]: Extracting #2: cost 238 inf + 72 48.173 * * [simplify]: Extracting #3: cost 449 inf + 680 48.184 * * [simplify]: Extracting #4: cost 307 inf + 33836 48.218 * * [simplify]: Extracting #5: cost 52 inf + 105891 48.265 * * [simplify]: Extracting #6: cost 1 inf + 120745 48.288 * * [simplify]: Extracting #7: cost 0 inf + 120798 48.312 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 48.312 * [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))) 48.313 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 48.313 * [simplify]: Simplifying (* 2 (* n PI)) 48.313 * * [simplify]: iters left: 4 (5 enodes) 48.316 * * [simplify]: iters left: 3 (19 enodes) 48.322 * * [simplify]: iters left: 2 (27 enodes) 48.330 * * [simplify]: iters left: 1 (32 enodes) 48.338 * * [simplify]: Extracting #0: cost 1 inf + 0 48.338 * * [simplify]: Extracting #1: cost 8 inf + 0 48.339 * * [simplify]: Extracting #2: cost 7 inf + 45 48.339 * * [simplify]: Extracting #3: cost 0 inf + 421 48.339 * [simplify]: Simplified to (* (* PI n) 2) 48.339 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 48.339 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 48.340 * [simplify]: Simplifying (* 2 (* n PI)) 48.340 * * [simplify]: iters left: 4 (5 enodes) 48.343 * * [simplify]: iters left: 3 (19 enodes) 48.348 * * [simplify]: iters left: 2 (27 enodes) 48.359 * * [simplify]: iters left: 1 (32 enodes) 48.367 * * [simplify]: Extracting #0: cost 1 inf + 0 48.367 * * [simplify]: Extracting #1: cost 8 inf + 0 48.367 * * [simplify]: Extracting #2: cost 7 inf + 45 48.367 * * [simplify]: Extracting #3: cost 0 inf + 421 48.367 * [simplify]: Simplified to (* (* PI n) 2) 48.367 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 48.367 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 48.368 * [simplify]: Simplifying (* 2 (* n PI)) 48.368 * * [simplify]: iters left: 4 (5 enodes) 48.370 * * [simplify]: iters left: 3 (19 enodes) 48.376 * * [simplify]: iters left: 2 (27 enodes) 48.384 * * [simplify]: iters left: 1 (32 enodes) 48.390 * * [simplify]: Extracting #0: cost 1 inf + 0 48.390 * * [simplify]: Extracting #1: cost 8 inf + 0 48.390 * * [simplify]: Extracting #2: cost 7 inf + 45 48.390 * * [simplify]: Extracting #3: cost 0 inf + 421 48.390 * [simplify]: Simplified to (* (* PI n) 2) 48.390 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 48.390 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 48.390 * [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)))))))))))))))))))))) 48.390 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 48.391 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 48.391 * [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)))))))) 48.391 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 48.391 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 48.391 * [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)))))))))))) 48.391 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 48.392 * * * [progress]: adding candidates to table 50.112 * * [progress]: iteration 2 / 4 50.112 * * * [progress]: picking best candidate 50.164 * * * * [pick]: Picked # 50.164 * * * [progress]: localizing error 50.192 * * * [progress]: generating rewritten candidates 50.193 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 50.220 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 50.231 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 50.256 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 50.315 * * * [progress]: generating series expansions 50.315 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 50.316 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 50.316 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 50.316 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 50.316 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 50.316 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 50.316 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 50.316 * [taylor]: Taking taylor expansion of 1/2 in k 50.316 * [backup-simplify]: Simplify 1/2 into 1/2 50.316 * [taylor]: Taking taylor expansion of (- 1 k) in k 50.316 * [taylor]: Taking taylor expansion of 1 in k 50.316 * [backup-simplify]: Simplify 1 into 1 50.316 * [taylor]: Taking taylor expansion of k in k 50.316 * [backup-simplify]: Simplify 0 into 0 50.316 * [backup-simplify]: Simplify 1 into 1 50.316 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 50.316 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 50.316 * [taylor]: Taking taylor expansion of 2 in k 50.316 * [backup-simplify]: Simplify 2 into 2 50.316 * [taylor]: Taking taylor expansion of (* n PI) in k 50.316 * [taylor]: Taking taylor expansion of n in k 50.316 * [backup-simplify]: Simplify n into n 50.316 * [taylor]: Taking taylor expansion of PI in k 50.317 * [backup-simplify]: Simplify PI into PI 50.317 * [backup-simplify]: Simplify (* n PI) into (* n PI) 50.317 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 50.317 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 50.317 * [backup-simplify]: Simplify (- 0) into 0 50.318 * [backup-simplify]: Simplify (+ 1 0) into 1 50.318 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.318 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 50.318 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 50.318 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 50.319 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 50.319 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 50.319 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 50.319 * [taylor]: Taking taylor expansion of 1/2 in n 50.319 * [backup-simplify]: Simplify 1/2 into 1/2 50.319 * [taylor]: Taking taylor expansion of (- 1 k) in n 50.319 * [taylor]: Taking taylor expansion of 1 in n 50.319 * [backup-simplify]: Simplify 1 into 1 50.319 * [taylor]: Taking taylor expansion of k in n 50.319 * [backup-simplify]: Simplify k into k 50.319 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 50.319 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 50.319 * [taylor]: Taking taylor expansion of 2 in n 50.319 * [backup-simplify]: Simplify 2 into 2 50.319 * [taylor]: Taking taylor expansion of (* n PI) in n 50.319 * [taylor]: Taking taylor expansion of n in n 50.319 * [backup-simplify]: Simplify 0 into 0 50.319 * [backup-simplify]: Simplify 1 into 1 50.319 * [taylor]: Taking taylor expansion of PI in n 50.319 * [backup-simplify]: Simplify PI into PI 50.320 * [backup-simplify]: Simplify (* 0 PI) into 0 50.320 * [backup-simplify]: Simplify (* 2 0) into 0 50.322 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 50.323 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 50.324 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 50.325 * [backup-simplify]: Simplify (- k) into (- k) 50.325 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 50.325 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 50.326 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 50.327 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 50.328 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 50.328 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 50.328 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 50.329 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 50.329 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 50.329 * [taylor]: Taking taylor expansion of 1/2 in n 50.329 * [backup-simplify]: Simplify 1/2 into 1/2 50.329 * [taylor]: Taking taylor expansion of (- 1 k) in n 50.329 * [taylor]: Taking taylor expansion of 1 in n 50.329 * [backup-simplify]: Simplify 1 into 1 50.329 * [taylor]: Taking taylor expansion of k in n 50.329 * [backup-simplify]: Simplify k into k 50.329 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 50.329 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 50.329 * [taylor]: Taking taylor expansion of 2 in n 50.329 * [backup-simplify]: Simplify 2 into 2 50.329 * [taylor]: Taking taylor expansion of (* n PI) in n 50.329 * [taylor]: Taking taylor expansion of n in n 50.329 * [backup-simplify]: Simplify 0 into 0 50.329 * [backup-simplify]: Simplify 1 into 1 50.329 * [taylor]: Taking taylor expansion of PI in n 50.329 * [backup-simplify]: Simplify PI into PI 50.330 * [backup-simplify]: Simplify (* 0 PI) into 0 50.330 * [backup-simplify]: Simplify (* 2 0) into 0 50.332 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 50.333 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 50.334 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 50.334 * [backup-simplify]: Simplify (- k) into (- k) 50.334 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 50.334 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 50.336 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 50.337 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 50.338 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 50.338 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 50.338 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 50.338 * [taylor]: Taking taylor expansion of 1/2 in k 50.338 * [backup-simplify]: Simplify 1/2 into 1/2 50.338 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 50.338 * [taylor]: Taking taylor expansion of (- 1 k) in k 50.338 * [taylor]: Taking taylor expansion of 1 in k 50.338 * [backup-simplify]: Simplify 1 into 1 50.338 * [taylor]: Taking taylor expansion of k in k 50.339 * [backup-simplify]: Simplify 0 into 0 50.339 * [backup-simplify]: Simplify 1 into 1 50.339 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 50.339 * [taylor]: Taking taylor expansion of (log n) in k 50.339 * [taylor]: Taking taylor expansion of n in k 50.339 * [backup-simplify]: Simplify n into n 50.339 * [backup-simplify]: Simplify (log n) into (log n) 50.339 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 50.339 * [taylor]: Taking taylor expansion of (* 2 PI) in k 50.339 * [taylor]: Taking taylor expansion of 2 in k 50.339 * [backup-simplify]: Simplify 2 into 2 50.339 * [taylor]: Taking taylor expansion of PI in k 50.339 * [backup-simplify]: Simplify PI into PI 50.339 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 50.340 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 50.341 * [backup-simplify]: Simplify (- 0) into 0 50.341 * [backup-simplify]: Simplify (+ 1 0) into 1 50.342 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 50.343 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 50.344 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 50.345 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 50.346 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 50.348 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 50.349 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 50.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 50.351 * [backup-simplify]: Simplify (- 0) into 0 50.351 * [backup-simplify]: Simplify (+ 0 0) into 0 50.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 50.353 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 50.354 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 50.356 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 50.356 * [taylor]: Taking taylor expansion of 0 in k 50.356 * [backup-simplify]: Simplify 0 into 0 50.356 * [backup-simplify]: Simplify 0 into 0 50.357 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 50.358 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 50.359 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 50.360 * [backup-simplify]: Simplify (+ 0 0) into 0 50.360 * [backup-simplify]: Simplify (- 1) into -1 50.360 * [backup-simplify]: Simplify (+ 0 -1) into -1 50.361 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 50.363 * [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))))) 50.364 * [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))))))) 50.366 * [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))))))) 50.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 50.367 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 50.370 * [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 50.370 * [backup-simplify]: Simplify (- 0) into 0 50.370 * [backup-simplify]: Simplify (+ 0 0) into 0 50.371 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 50.371 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 50.372 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 50.374 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.374 * [taylor]: Taking taylor expansion of 0 in k 50.374 * [backup-simplify]: Simplify 0 into 0 50.374 * [backup-simplify]: Simplify 0 into 0 50.374 * [backup-simplify]: Simplify 0 into 0 50.375 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 50.376 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 50.377 * [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 50.378 * [backup-simplify]: Simplify (+ 0 0) into 0 50.378 * [backup-simplify]: Simplify (- 0) into 0 50.378 * [backup-simplify]: Simplify (+ 0 0) into 0 50.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 50.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 50.383 * [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))))) 50.386 * [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))))) 50.391 * [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))))) 50.392 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 50.392 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 50.392 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 50.392 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 50.392 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 50.392 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 50.392 * [taylor]: Taking taylor expansion of 1/2 in k 50.392 * [backup-simplify]: Simplify 1/2 into 1/2 50.392 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 50.392 * [taylor]: Taking taylor expansion of 1 in k 50.392 * [backup-simplify]: Simplify 1 into 1 50.392 * [taylor]: Taking taylor expansion of (/ 1 k) in k 50.392 * [taylor]: Taking taylor expansion of k in k 50.392 * [backup-simplify]: Simplify 0 into 0 50.392 * [backup-simplify]: Simplify 1 into 1 50.392 * [backup-simplify]: Simplify (/ 1 1) into 1 50.392 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 50.392 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 50.393 * [taylor]: Taking taylor expansion of 2 in k 50.393 * [backup-simplify]: Simplify 2 into 2 50.393 * [taylor]: Taking taylor expansion of (/ PI n) in k 50.393 * [taylor]: Taking taylor expansion of PI in k 50.393 * [backup-simplify]: Simplify PI into PI 50.393 * [taylor]: Taking taylor expansion of n in k 50.393 * [backup-simplify]: Simplify n into n 50.393 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 50.393 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 50.393 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 50.393 * [backup-simplify]: Simplify (- 1) into -1 50.393 * [backup-simplify]: Simplify (+ 0 -1) into -1 50.394 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 50.394 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 50.394 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 50.394 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 50.394 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 50.394 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 50.394 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 50.394 * [taylor]: Taking taylor expansion of 1/2 in n 50.394 * [backup-simplify]: Simplify 1/2 into 1/2 50.394 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 50.394 * [taylor]: Taking taylor expansion of 1 in n 50.394 * [backup-simplify]: Simplify 1 into 1 50.394 * [taylor]: Taking taylor expansion of (/ 1 k) in n 50.394 * [taylor]: Taking taylor expansion of k in n 50.394 * [backup-simplify]: Simplify k into k 50.394 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 50.394 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 50.394 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 50.394 * [taylor]: Taking taylor expansion of 2 in n 50.394 * [backup-simplify]: Simplify 2 into 2 50.394 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.394 * [taylor]: Taking taylor expansion of PI in n 50.394 * [backup-simplify]: Simplify PI into PI 50.394 * [taylor]: Taking taylor expansion of n in n 50.394 * [backup-simplify]: Simplify 0 into 0 50.394 * [backup-simplify]: Simplify 1 into 1 50.394 * [backup-simplify]: Simplify (/ PI 1) into PI 50.395 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 50.395 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 50.396 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 50.396 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 50.396 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 50.397 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 50.397 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 50.398 * [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))))) 50.398 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 50.398 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 50.398 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 50.398 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 50.398 * [taylor]: Taking taylor expansion of 1/2 in n 50.398 * [backup-simplify]: Simplify 1/2 into 1/2 50.398 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 50.398 * [taylor]: Taking taylor expansion of 1 in n 50.398 * [backup-simplify]: Simplify 1 into 1 50.398 * [taylor]: Taking taylor expansion of (/ 1 k) in n 50.398 * [taylor]: Taking taylor expansion of k in n 50.398 * [backup-simplify]: Simplify k into k 50.398 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 50.398 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 50.398 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 50.398 * [taylor]: Taking taylor expansion of 2 in n 50.398 * [backup-simplify]: Simplify 2 into 2 50.398 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.398 * [taylor]: Taking taylor expansion of PI in n 50.398 * [backup-simplify]: Simplify PI into PI 50.398 * [taylor]: Taking taylor expansion of n in n 50.398 * [backup-simplify]: Simplify 0 into 0 50.398 * [backup-simplify]: Simplify 1 into 1 50.399 * [backup-simplify]: Simplify (/ PI 1) into PI 50.401 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 50.402 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 50.402 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 50.402 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 50.402 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 50.403 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 50.404 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 50.405 * [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))))) 50.405 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 50.405 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 50.405 * [taylor]: Taking taylor expansion of 1/2 in k 50.405 * [backup-simplify]: Simplify 1/2 into 1/2 50.405 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 50.405 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 50.405 * [taylor]: Taking taylor expansion of 1 in k 50.405 * [backup-simplify]: Simplify 1 into 1 50.405 * [taylor]: Taking taylor expansion of (/ 1 k) in k 50.405 * [taylor]: Taking taylor expansion of k in k 50.405 * [backup-simplify]: Simplify 0 into 0 50.405 * [backup-simplify]: Simplify 1 into 1 50.405 * [backup-simplify]: Simplify (/ 1 1) into 1 50.405 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 50.405 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 50.405 * [taylor]: Taking taylor expansion of (* 2 PI) in k 50.405 * [taylor]: Taking taylor expansion of 2 in k 50.405 * [backup-simplify]: Simplify 2 into 2 50.405 * [taylor]: Taking taylor expansion of PI in k 50.405 * [backup-simplify]: Simplify PI into PI 50.406 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 50.406 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 50.406 * [taylor]: Taking taylor expansion of (log n) in k 50.406 * [taylor]: Taking taylor expansion of n in k 50.406 * [backup-simplify]: Simplify n into n 50.406 * [backup-simplify]: Simplify (log n) into (log n) 50.406 * [backup-simplify]: Simplify (- 1) into -1 50.407 * [backup-simplify]: Simplify (+ 0 -1) into -1 50.407 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 50.407 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 50.408 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 50.410 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 50.411 * [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))))) 50.412 * [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))))) 50.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 50.414 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 50.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 50.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 50.416 * [backup-simplify]: Simplify (- 0) into 0 50.416 * [backup-simplify]: Simplify (+ 0 0) into 0 50.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 50.418 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 50.419 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 50.421 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 50.421 * [taylor]: Taking taylor expansion of 0 in k 50.421 * [backup-simplify]: Simplify 0 into 0 50.421 * [backup-simplify]: Simplify 0 into 0 50.421 * [backup-simplify]: Simplify 0 into 0 50.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.423 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 50.425 * [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 50.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 50.425 * [backup-simplify]: Simplify (- 0) into 0 50.426 * [backup-simplify]: Simplify (+ 0 0) into 0 50.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 50.427 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 50.428 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 50.429 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.429 * [taylor]: Taking taylor expansion of 0 in k 50.429 * [backup-simplify]: Simplify 0 into 0 50.429 * [backup-simplify]: Simplify 0 into 0 50.429 * [backup-simplify]: Simplify 0 into 0 50.429 * [backup-simplify]: Simplify 0 into 0 50.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.431 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 50.434 * [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 50.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 50.434 * [backup-simplify]: Simplify (- 0) into 0 50.435 * [backup-simplify]: Simplify (+ 0 0) into 0 50.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 50.436 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 50.438 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 50.439 * [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 50.439 * [taylor]: Taking taylor expansion of 0 in k 50.439 * [backup-simplify]: Simplify 0 into 0 50.439 * [backup-simplify]: Simplify 0 into 0 50.440 * [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)))))) 50.440 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 50.440 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 50.440 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 50.440 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 50.440 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 50.440 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 50.440 * [taylor]: Taking taylor expansion of 1/2 in k 50.440 * [backup-simplify]: Simplify 1/2 into 1/2 50.440 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 50.440 * [taylor]: Taking taylor expansion of (/ 1 k) in k 50.441 * [taylor]: Taking taylor expansion of k in k 50.441 * [backup-simplify]: Simplify 0 into 0 50.441 * [backup-simplify]: Simplify 1 into 1 50.441 * [backup-simplify]: Simplify (/ 1 1) into 1 50.441 * [taylor]: Taking taylor expansion of 1 in k 50.441 * [backup-simplify]: Simplify 1 into 1 50.441 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 50.441 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 50.441 * [taylor]: Taking taylor expansion of -2 in k 50.441 * [backup-simplify]: Simplify -2 into -2 50.441 * [taylor]: Taking taylor expansion of (/ PI n) in k 50.441 * [taylor]: Taking taylor expansion of PI in k 50.441 * [backup-simplify]: Simplify PI into PI 50.441 * [taylor]: Taking taylor expansion of n in k 50.441 * [backup-simplify]: Simplify n into n 50.441 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 50.441 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 50.441 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 50.441 * [backup-simplify]: Simplify (+ 1 0) into 1 50.442 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.442 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 50.442 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 50.442 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 50.442 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 50.442 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 50.442 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 50.442 * [taylor]: Taking taylor expansion of 1/2 in n 50.442 * [backup-simplify]: Simplify 1/2 into 1/2 50.442 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 50.442 * [taylor]: Taking taylor expansion of (/ 1 k) in n 50.442 * [taylor]: Taking taylor expansion of k in n 50.442 * [backup-simplify]: Simplify k into k 50.442 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 50.442 * [taylor]: Taking taylor expansion of 1 in n 50.442 * [backup-simplify]: Simplify 1 into 1 50.442 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 50.442 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 50.442 * [taylor]: Taking taylor expansion of -2 in n 50.442 * [backup-simplify]: Simplify -2 into -2 50.442 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.442 * [taylor]: Taking taylor expansion of PI in n 50.442 * [backup-simplify]: Simplify PI into PI 50.442 * [taylor]: Taking taylor expansion of n in n 50.442 * [backup-simplify]: Simplify 0 into 0 50.442 * [backup-simplify]: Simplify 1 into 1 50.442 * [backup-simplify]: Simplify (/ PI 1) into PI 50.443 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 50.443 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 50.443 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 50.443 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 50.444 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 50.445 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 50.446 * [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))))) 50.446 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 50.446 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 50.446 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 50.446 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 50.446 * [taylor]: Taking taylor expansion of 1/2 in n 50.446 * [backup-simplify]: Simplify 1/2 into 1/2 50.446 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 50.446 * [taylor]: Taking taylor expansion of (/ 1 k) in n 50.446 * [taylor]: Taking taylor expansion of k in n 50.446 * [backup-simplify]: Simplify k into k 50.446 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 50.446 * [taylor]: Taking taylor expansion of 1 in n 50.446 * [backup-simplify]: Simplify 1 into 1 50.446 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 50.446 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 50.446 * [taylor]: Taking taylor expansion of -2 in n 50.446 * [backup-simplify]: Simplify -2 into -2 50.446 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.446 * [taylor]: Taking taylor expansion of PI in n 50.446 * [backup-simplify]: Simplify PI into PI 50.446 * [taylor]: Taking taylor expansion of n in n 50.446 * [backup-simplify]: Simplify 0 into 0 50.446 * [backup-simplify]: Simplify 1 into 1 50.446 * [backup-simplify]: Simplify (/ PI 1) into PI 50.447 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 50.447 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 50.447 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 50.447 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 50.448 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 50.449 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 50.450 * [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))))) 50.450 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 50.450 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 50.450 * [taylor]: Taking taylor expansion of 1/2 in k 50.450 * [backup-simplify]: Simplify 1/2 into 1/2 50.450 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 50.450 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 50.450 * [taylor]: Taking taylor expansion of (/ 1 k) in k 50.450 * [taylor]: Taking taylor expansion of k in k 50.450 * [backup-simplify]: Simplify 0 into 0 50.450 * [backup-simplify]: Simplify 1 into 1 50.450 * [backup-simplify]: Simplify (/ 1 1) into 1 50.450 * [taylor]: Taking taylor expansion of 1 in k 50.450 * [backup-simplify]: Simplify 1 into 1 50.450 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 50.450 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 50.450 * [taylor]: Taking taylor expansion of (* -2 PI) in k 50.450 * [taylor]: Taking taylor expansion of -2 in k 50.450 * [backup-simplify]: Simplify -2 into -2 50.450 * [taylor]: Taking taylor expansion of PI in k 50.450 * [backup-simplify]: Simplify PI into PI 50.451 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 50.451 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 50.451 * [taylor]: Taking taylor expansion of (log n) in k 50.451 * [taylor]: Taking taylor expansion of n in k 50.451 * [backup-simplify]: Simplify n into n 50.451 * [backup-simplify]: Simplify (log n) into (log n) 50.452 * [backup-simplify]: Simplify (+ 1 0) into 1 50.452 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 50.453 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 50.454 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 50.455 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 50.456 * [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))))) 50.457 * [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))))) 50.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 50.459 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 50.461 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 50.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 50.461 * [backup-simplify]: Simplify (+ 0 0) into 0 50.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 50.463 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 50.465 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 50.467 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 50.467 * [taylor]: Taking taylor expansion of 0 in k 50.467 * [backup-simplify]: Simplify 0 into 0 50.467 * [backup-simplify]: Simplify 0 into 0 50.467 * [backup-simplify]: Simplify 0 into 0 50.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.469 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 50.473 * [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 50.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 50.474 * [backup-simplify]: Simplify (+ 0 0) into 0 50.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 50.476 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 50.478 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 50.480 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.481 * [taylor]: Taking taylor expansion of 0 in k 50.481 * [backup-simplify]: Simplify 0 into 0 50.481 * [backup-simplify]: Simplify 0 into 0 50.481 * [backup-simplify]: Simplify 0 into 0 50.481 * [backup-simplify]: Simplify 0 into 0 50.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.483 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 50.489 * [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 50.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 50.490 * [backup-simplify]: Simplify (+ 0 0) into 0 50.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 50.493 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 50.495 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 50.498 * [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 50.498 * [taylor]: Taking taylor expansion of 0 in k 50.498 * [backup-simplify]: Simplify 0 into 0 50.498 * [backup-simplify]: Simplify 0 into 0 50.499 * [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)))))) 50.499 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 50.500 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 50.500 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 50.500 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 50.500 * [taylor]: Taking taylor expansion of (/ 1 k) in k 50.500 * [taylor]: Taking taylor expansion of k in k 50.500 * [backup-simplify]: Simplify 0 into 0 50.500 * [backup-simplify]: Simplify 1 into 1 50.500 * [backup-simplify]: Simplify (/ 1 1) into 1 50.501 * [backup-simplify]: Simplify (sqrt 0) into 0 50.502 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 50.502 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 50.502 * [taylor]: Taking taylor expansion of (/ 1 k) in k 50.502 * [taylor]: Taking taylor expansion of k in k 50.502 * [backup-simplify]: Simplify 0 into 0 50.502 * [backup-simplify]: Simplify 1 into 1 50.503 * [backup-simplify]: Simplify (/ 1 1) into 1 50.503 * [backup-simplify]: Simplify (sqrt 0) into 0 50.505 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 50.505 * [backup-simplify]: Simplify 0 into 0 50.505 * [backup-simplify]: Simplify +nan.0 into +nan.0 50.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 50.509 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 50.509 * [backup-simplify]: Simplify +nan.0 into +nan.0 50.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 50.514 * [backup-simplify]: Simplify +nan.0 into +nan.0 50.514 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 50.514 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 50.514 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 50.514 * [taylor]: Taking taylor expansion of (sqrt k) in k 50.514 * [taylor]: Taking taylor expansion of k in k 50.514 * [backup-simplify]: Simplify 0 into 0 50.514 * [backup-simplify]: Simplify 1 into 1 50.515 * [backup-simplify]: Simplify (sqrt 0) into 0 50.517 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 50.517 * [taylor]: Taking taylor expansion of (sqrt k) in k 50.517 * [taylor]: Taking taylor expansion of k in k 50.517 * [backup-simplify]: Simplify 0 into 0 50.517 * [backup-simplify]: Simplify 1 into 1 50.517 * [backup-simplify]: Simplify (sqrt 0) into 0 50.518 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 50.519 * [backup-simplify]: Simplify 0 into 0 50.519 * [backup-simplify]: Simplify +nan.0 into +nan.0 50.522 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 50.522 * [backup-simplify]: Simplify +nan.0 into +nan.0 50.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 50.529 * [backup-simplify]: Simplify +nan.0 into +nan.0 50.529 * [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)))))))) 50.529 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 50.529 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 50.529 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 50.530 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 50.530 * [taylor]: Taking taylor expansion of (/ -1 k) in k 50.530 * [taylor]: Taking taylor expansion of -1 in k 50.530 * [backup-simplify]: Simplify -1 into -1 50.530 * [taylor]: Taking taylor expansion of k in k 50.530 * [backup-simplify]: Simplify 0 into 0 50.530 * [backup-simplify]: Simplify 1 into 1 50.530 * [backup-simplify]: Simplify (/ -1 1) into -1 50.531 * [backup-simplify]: Simplify (sqrt 0) into 0 50.532 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 50.533 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 50.533 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 50.533 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 50.533 * [taylor]: Taking taylor expansion of (/ -1 k) in k 50.533 * [taylor]: Taking taylor expansion of -1 in k 50.533 * [backup-simplify]: Simplify -1 into -1 50.533 * [taylor]: Taking taylor expansion of k in k 50.533 * [backup-simplify]: Simplify 0 into 0 50.533 * [backup-simplify]: Simplify 1 into 1 50.533 * [backup-simplify]: Simplify (/ -1 1) into -1 50.534 * [backup-simplify]: Simplify (sqrt 0) into 0 50.535 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 50.536 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 50.536 * [backup-simplify]: Simplify +nan.0 into +nan.0 50.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 50.540 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 50.542 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 50.542 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 50.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 50.551 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 50.552 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 50.553 * [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))))) 50.553 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 50.553 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 50.553 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 50.553 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 50.553 * [taylor]: Taking taylor expansion of 2 in n 50.553 * [backup-simplify]: Simplify 2 into 2 50.554 * [taylor]: Taking taylor expansion of (* n PI) in n 50.554 * [taylor]: Taking taylor expansion of n in n 50.554 * [backup-simplify]: Simplify 0 into 0 50.554 * [backup-simplify]: Simplify 1 into 1 50.554 * [taylor]: Taking taylor expansion of PI in n 50.554 * [backup-simplify]: Simplify PI into PI 50.554 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 50.554 * [taylor]: Taking taylor expansion of 2 in n 50.554 * [backup-simplify]: Simplify 2 into 2 50.554 * [taylor]: Taking taylor expansion of (* n PI) in n 50.554 * [taylor]: Taking taylor expansion of n in n 50.554 * [backup-simplify]: Simplify 0 into 0 50.554 * [backup-simplify]: Simplify 1 into 1 50.554 * [taylor]: Taking taylor expansion of PI in n 50.554 * [backup-simplify]: Simplify PI into PI 50.554 * [backup-simplify]: Simplify (* 0 PI) into 0 50.555 * [backup-simplify]: Simplify (* 2 0) into 0 50.555 * [backup-simplify]: Simplify 0 into 0 50.556 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 50.558 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 50.558 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 50.559 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 50.560 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 50.560 * [backup-simplify]: Simplify 0 into 0 50.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 50.561 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 50.561 * [backup-simplify]: Simplify 0 into 0 50.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 50.563 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 50.563 * [backup-simplify]: Simplify 0 into 0 50.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 50.565 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 50.565 * [backup-simplify]: Simplify 0 into 0 50.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 50.566 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 50.566 * [backup-simplify]: Simplify 0 into 0 50.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 50.568 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 50.568 * [backup-simplify]: Simplify 0 into 0 50.569 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 50.569 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 50.569 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 50.569 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 50.569 * [taylor]: Taking taylor expansion of 2 in n 50.569 * [backup-simplify]: Simplify 2 into 2 50.569 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.569 * [taylor]: Taking taylor expansion of PI in n 50.569 * [backup-simplify]: Simplify PI into PI 50.569 * [taylor]: Taking taylor expansion of n in n 50.569 * [backup-simplify]: Simplify 0 into 0 50.569 * [backup-simplify]: Simplify 1 into 1 50.570 * [backup-simplify]: Simplify (/ PI 1) into PI 50.570 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 50.570 * [taylor]: Taking taylor expansion of 2 in n 50.570 * [backup-simplify]: Simplify 2 into 2 50.570 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.570 * [taylor]: Taking taylor expansion of PI in n 50.570 * [backup-simplify]: Simplify PI into PI 50.570 * [taylor]: Taking taylor expansion of n in n 50.570 * [backup-simplify]: Simplify 0 into 0 50.570 * [backup-simplify]: Simplify 1 into 1 50.570 * [backup-simplify]: Simplify (/ PI 1) into PI 50.570 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 50.571 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 50.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 50.572 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 50.572 * [backup-simplify]: Simplify 0 into 0 50.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.573 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 50.573 * [backup-simplify]: Simplify 0 into 0 50.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.574 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 50.574 * [backup-simplify]: Simplify 0 into 0 50.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.576 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 50.576 * [backup-simplify]: Simplify 0 into 0 50.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.577 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 50.577 * [backup-simplify]: Simplify 0 into 0 50.578 * [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 50.579 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 50.579 * [backup-simplify]: Simplify 0 into 0 50.579 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 50.579 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 50.579 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 50.579 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 50.579 * [taylor]: Taking taylor expansion of -2 in n 50.579 * [backup-simplify]: Simplify -2 into -2 50.579 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.579 * [taylor]: Taking taylor expansion of PI in n 50.579 * [backup-simplify]: Simplify PI into PI 50.579 * [taylor]: Taking taylor expansion of n in n 50.580 * [backup-simplify]: Simplify 0 into 0 50.580 * [backup-simplify]: Simplify 1 into 1 50.580 * [backup-simplify]: Simplify (/ PI 1) into PI 50.580 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 50.580 * [taylor]: Taking taylor expansion of -2 in n 50.580 * [backup-simplify]: Simplify -2 into -2 50.580 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.580 * [taylor]: Taking taylor expansion of PI in n 50.580 * [backup-simplify]: Simplify PI into PI 50.580 * [taylor]: Taking taylor expansion of n in n 50.580 * [backup-simplify]: Simplify 0 into 0 50.580 * [backup-simplify]: Simplify 1 into 1 50.580 * [backup-simplify]: Simplify (/ PI 1) into PI 50.581 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 50.581 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 50.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 50.582 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 50.582 * [backup-simplify]: Simplify 0 into 0 50.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.583 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 50.583 * [backup-simplify]: Simplify 0 into 0 50.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.585 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 50.585 * [backup-simplify]: Simplify 0 into 0 50.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.586 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 50.586 * [backup-simplify]: Simplify 0 into 0 50.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.587 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 50.587 * [backup-simplify]: Simplify 0 into 0 50.588 * [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 50.589 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 50.589 * [backup-simplify]: Simplify 0 into 0 50.589 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 50.589 * * * * [progress]: [ 4 / 4 ] generating series at (2) 50.590 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 50.590 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 50.590 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 50.590 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 50.590 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 50.590 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 50.590 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 50.590 * [taylor]: Taking taylor expansion of 1/2 in k 50.590 * [backup-simplify]: Simplify 1/2 into 1/2 50.590 * [taylor]: Taking taylor expansion of (- 1 k) in k 50.590 * [taylor]: Taking taylor expansion of 1 in k 50.590 * [backup-simplify]: Simplify 1 into 1 50.590 * [taylor]: Taking taylor expansion of k in k 50.590 * [backup-simplify]: Simplify 0 into 0 50.590 * [backup-simplify]: Simplify 1 into 1 50.590 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 50.590 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 50.590 * [taylor]: Taking taylor expansion of 2 in k 50.590 * [backup-simplify]: Simplify 2 into 2 50.590 * [taylor]: Taking taylor expansion of (* n PI) in k 50.590 * [taylor]: Taking taylor expansion of n in k 50.590 * [backup-simplify]: Simplify n into n 50.590 * [taylor]: Taking taylor expansion of PI in k 50.590 * [backup-simplify]: Simplify PI into PI 50.590 * [backup-simplify]: Simplify (* n PI) into (* n PI) 50.590 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 50.590 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 50.590 * [backup-simplify]: Simplify (- 0) into 0 50.591 * [backup-simplify]: Simplify (+ 1 0) into 1 50.591 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.591 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 50.591 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 50.591 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 50.591 * [taylor]: Taking taylor expansion of (/ 1 k) in k 50.591 * [taylor]: Taking taylor expansion of k in k 50.591 * [backup-simplify]: Simplify 0 into 0 50.591 * [backup-simplify]: Simplify 1 into 1 50.592 * [backup-simplify]: Simplify (/ 1 1) into 1 50.592 * [backup-simplify]: Simplify (sqrt 0) into 0 50.593 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 50.594 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 50.594 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 50.594 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 50.594 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 50.594 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 50.594 * [taylor]: Taking taylor expansion of 1/2 in n 50.594 * [backup-simplify]: Simplify 1/2 into 1/2 50.594 * [taylor]: Taking taylor expansion of (- 1 k) in n 50.594 * [taylor]: Taking taylor expansion of 1 in n 50.594 * [backup-simplify]: Simplify 1 into 1 50.594 * [taylor]: Taking taylor expansion of k in n 50.594 * [backup-simplify]: Simplify k into k 50.594 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 50.594 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 50.594 * [taylor]: Taking taylor expansion of 2 in n 50.594 * [backup-simplify]: Simplify 2 into 2 50.594 * [taylor]: Taking taylor expansion of (* n PI) in n 50.594 * [taylor]: Taking taylor expansion of n in n 50.594 * [backup-simplify]: Simplify 0 into 0 50.594 * [backup-simplify]: Simplify 1 into 1 50.594 * [taylor]: Taking taylor expansion of PI in n 50.594 * [backup-simplify]: Simplify PI into PI 50.594 * [backup-simplify]: Simplify (* 0 PI) into 0 50.595 * [backup-simplify]: Simplify (* 2 0) into 0 50.596 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 50.598 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 50.599 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 50.599 * [backup-simplify]: Simplify (- k) into (- k) 50.599 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 50.599 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 50.600 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 50.601 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 50.602 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 50.602 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 50.602 * [taylor]: Taking taylor expansion of (/ 1 k) in n 50.602 * [taylor]: Taking taylor expansion of k in n 50.602 * [backup-simplify]: Simplify k into k 50.602 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 50.603 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 50.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 50.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 50.603 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 50.603 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 50.603 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 50.603 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 50.603 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 50.603 * [taylor]: Taking taylor expansion of 1/2 in n 50.603 * [backup-simplify]: Simplify 1/2 into 1/2 50.603 * [taylor]: Taking taylor expansion of (- 1 k) in n 50.603 * [taylor]: Taking taylor expansion of 1 in n 50.603 * [backup-simplify]: Simplify 1 into 1 50.603 * [taylor]: Taking taylor expansion of k in n 50.603 * [backup-simplify]: Simplify k into k 50.603 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 50.603 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 50.603 * [taylor]: Taking taylor expansion of 2 in n 50.603 * [backup-simplify]: Simplify 2 into 2 50.603 * [taylor]: Taking taylor expansion of (* n PI) in n 50.603 * [taylor]: Taking taylor expansion of n in n 50.603 * [backup-simplify]: Simplify 0 into 0 50.603 * [backup-simplify]: Simplify 1 into 1 50.603 * [taylor]: Taking taylor expansion of PI in n 50.603 * [backup-simplify]: Simplify PI into PI 50.604 * [backup-simplify]: Simplify (* 0 PI) into 0 50.604 * [backup-simplify]: Simplify (* 2 0) into 0 50.606 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 50.607 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 50.608 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 50.608 * [backup-simplify]: Simplify (- k) into (- k) 50.608 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 50.608 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 50.610 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 50.611 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 50.612 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 50.612 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 50.612 * [taylor]: Taking taylor expansion of (/ 1 k) in n 50.612 * [taylor]: Taking taylor expansion of k in n 50.612 * [backup-simplify]: Simplify k into k 50.612 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 50.612 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 50.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 50.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 50.613 * [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))) 50.613 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 50.613 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 50.613 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 50.613 * [taylor]: Taking taylor expansion of 1/2 in k 50.613 * [backup-simplify]: Simplify 1/2 into 1/2 50.613 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 50.613 * [taylor]: Taking taylor expansion of (- 1 k) in k 50.614 * [taylor]: Taking taylor expansion of 1 in k 50.614 * [backup-simplify]: Simplify 1 into 1 50.614 * [taylor]: Taking taylor expansion of k in k 50.614 * [backup-simplify]: Simplify 0 into 0 50.614 * [backup-simplify]: Simplify 1 into 1 50.614 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 50.614 * [taylor]: Taking taylor expansion of (log n) in k 50.614 * [taylor]: Taking taylor expansion of n in k 50.614 * [backup-simplify]: Simplify n into n 50.614 * [backup-simplify]: Simplify (log n) into (log n) 50.614 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 50.614 * [taylor]: Taking taylor expansion of (* 2 PI) in k 50.614 * [taylor]: Taking taylor expansion of 2 in k 50.614 * [backup-simplify]: Simplify 2 into 2 50.614 * [taylor]: Taking taylor expansion of PI in k 50.614 * [backup-simplify]: Simplify PI into PI 50.614 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 50.615 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 50.616 * [backup-simplify]: Simplify (- 0) into 0 50.616 * [backup-simplify]: Simplify (+ 1 0) into 1 50.617 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 50.618 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 50.619 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 50.620 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 50.620 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 50.620 * [taylor]: Taking taylor expansion of (/ 1 k) in k 50.620 * [taylor]: Taking taylor expansion of k in k 50.620 * [backup-simplify]: Simplify 0 into 0 50.620 * [backup-simplify]: Simplify 1 into 1 50.621 * [backup-simplify]: Simplify (/ 1 1) into 1 50.621 * [backup-simplify]: Simplify (sqrt 0) into 0 50.622 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 50.623 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 50.623 * [backup-simplify]: Simplify 0 into 0 50.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 50.625 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 50.626 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 50.626 * [backup-simplify]: Simplify (- 0) into 0 50.626 * [backup-simplify]: Simplify (+ 0 0) into 0 50.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 50.627 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 50.628 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 50.629 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 50.630 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 50.630 * [taylor]: Taking taylor expansion of 0 in k 50.630 * [backup-simplify]: Simplify 0 into 0 50.630 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 50.631 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 50.632 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 50.632 * [backup-simplify]: Simplify (+ 0 0) into 0 50.632 * [backup-simplify]: Simplify (- 1) into -1 50.633 * [backup-simplify]: Simplify (+ 0 -1) into -1 50.634 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 50.635 * [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))))) 50.637 * [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))))))) 50.641 * [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))))))) 50.642 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 50.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 50.642 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 50.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 50.644 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 50.645 * [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 50.646 * [backup-simplify]: Simplify (- 0) into 0 50.646 * [backup-simplify]: Simplify (+ 0 0) into 0 50.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 50.647 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 50.648 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 50.650 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.651 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 50.651 * [taylor]: Taking taylor expansion of 0 in k 50.651 * [backup-simplify]: Simplify 0 into 0 50.651 * [backup-simplify]: Simplify 0 into 0 50.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 50.654 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 50.656 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 50.657 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 50.661 * [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 50.661 * [backup-simplify]: Simplify (+ 0 0) into 0 50.662 * [backup-simplify]: Simplify (- 0) into 0 50.662 * [backup-simplify]: Simplify (+ 0 0) into 0 50.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 50.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 50.671 * [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))))) 50.679 * [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)))))))) 50.684 * [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)))))))) 50.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 50.686 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 50.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 50.689 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 50.694 * [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 50.695 * [backup-simplify]: Simplify (- 0) into 0 50.695 * [backup-simplify]: Simplify (+ 0 0) into 0 50.697 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 50.698 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 50.700 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 50.701 * [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 50.702 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 50.702 * [taylor]: Taking taylor expansion of 0 in k 50.702 * [backup-simplify]: Simplify 0 into 0 50.702 * [backup-simplify]: Simplify 0 into 0 50.702 * [backup-simplify]: Simplify 0 into 0 50.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.705 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 50.707 * [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 50.708 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 50.711 * [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 50.711 * [backup-simplify]: Simplify (+ 0 0) into 0 50.711 * [backup-simplify]: Simplify (- 0) into 0 50.712 * [backup-simplify]: Simplify (+ 0 0) into 0 50.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 50.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 50.718 * [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))))))) 50.728 * [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)))))))))))))) 50.735 * [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)))))))))))))) 50.748 * [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)))))))))))))))))))))) 50.749 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (/ 1 (sqrt (/ 1 k)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 50.749 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 50.749 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 50.749 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 50.749 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 50.749 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 50.749 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 50.749 * [taylor]: Taking taylor expansion of 1/2 in k 50.749 * [backup-simplify]: Simplify 1/2 into 1/2 50.749 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 50.749 * [taylor]: Taking taylor expansion of 1 in k 50.749 * [backup-simplify]: Simplify 1 into 1 50.749 * [taylor]: Taking taylor expansion of (/ 1 k) in k 50.749 * [taylor]: Taking taylor expansion of k in k 50.749 * [backup-simplify]: Simplify 0 into 0 50.749 * [backup-simplify]: Simplify 1 into 1 50.749 * [backup-simplify]: Simplify (/ 1 1) into 1 50.749 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 50.749 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 50.749 * [taylor]: Taking taylor expansion of 2 in k 50.749 * [backup-simplify]: Simplify 2 into 2 50.749 * [taylor]: Taking taylor expansion of (/ PI n) in k 50.749 * [taylor]: Taking taylor expansion of PI in k 50.749 * [backup-simplify]: Simplify PI into PI 50.749 * [taylor]: Taking taylor expansion of n in k 50.749 * [backup-simplify]: Simplify n into n 50.749 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 50.749 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 50.749 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 50.750 * [backup-simplify]: Simplify (- 1) into -1 50.750 * [backup-simplify]: Simplify (+ 0 -1) into -1 50.750 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 50.750 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 50.750 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 50.750 * [taylor]: Taking taylor expansion of (sqrt k) in k 50.750 * [taylor]: Taking taylor expansion of k in k 50.750 * [backup-simplify]: Simplify 0 into 0 50.750 * [backup-simplify]: Simplify 1 into 1 50.751 * [backup-simplify]: Simplify (sqrt 0) into 0 50.752 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 50.752 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 50.752 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 50.752 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 50.752 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 50.752 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 50.752 * [taylor]: Taking taylor expansion of 1/2 in n 50.752 * [backup-simplify]: Simplify 1/2 into 1/2 50.752 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 50.752 * [taylor]: Taking taylor expansion of 1 in n 50.752 * [backup-simplify]: Simplify 1 into 1 50.752 * [taylor]: Taking taylor expansion of (/ 1 k) in n 50.752 * [taylor]: Taking taylor expansion of k in n 50.752 * [backup-simplify]: Simplify k into k 50.752 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 50.752 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 50.752 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 50.752 * [taylor]: Taking taylor expansion of 2 in n 50.752 * [backup-simplify]: Simplify 2 into 2 50.752 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.752 * [taylor]: Taking taylor expansion of PI in n 50.752 * [backup-simplify]: Simplify PI into PI 50.752 * [taylor]: Taking taylor expansion of n in n 50.752 * [backup-simplify]: Simplify 0 into 0 50.752 * [backup-simplify]: Simplify 1 into 1 50.752 * [backup-simplify]: Simplify (/ PI 1) into PI 50.753 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 50.753 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 50.753 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 50.753 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 50.753 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 50.754 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 50.755 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 50.756 * [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))))) 50.756 * [taylor]: Taking taylor expansion of (sqrt k) in n 50.756 * [taylor]: Taking taylor expansion of k in n 50.756 * [backup-simplify]: Simplify k into k 50.756 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 50.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 50.756 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 50.756 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 50.756 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 50.756 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 50.756 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 50.756 * [taylor]: Taking taylor expansion of 1/2 in n 50.756 * [backup-simplify]: Simplify 1/2 into 1/2 50.756 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 50.756 * [taylor]: Taking taylor expansion of 1 in n 50.756 * [backup-simplify]: Simplify 1 into 1 50.756 * [taylor]: Taking taylor expansion of (/ 1 k) in n 50.756 * [taylor]: Taking taylor expansion of k in n 50.756 * [backup-simplify]: Simplify k into k 50.756 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 50.756 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 50.756 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 50.756 * [taylor]: Taking taylor expansion of 2 in n 50.756 * [backup-simplify]: Simplify 2 into 2 50.756 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.756 * [taylor]: Taking taylor expansion of PI in n 50.756 * [backup-simplify]: Simplify PI into PI 50.756 * [taylor]: Taking taylor expansion of n in n 50.756 * [backup-simplify]: Simplify 0 into 0 50.756 * [backup-simplify]: Simplify 1 into 1 50.756 * [backup-simplify]: Simplify (/ PI 1) into PI 50.757 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 50.757 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 50.757 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 50.757 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 50.757 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 50.758 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 50.759 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 50.760 * [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))))) 50.760 * [taylor]: Taking taylor expansion of (sqrt k) in n 50.760 * [taylor]: Taking taylor expansion of k in n 50.760 * [backup-simplify]: Simplify k into k 50.760 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 50.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 50.761 * [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)) 50.761 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 50.762 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 50.762 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 50.762 * [taylor]: Taking taylor expansion of 1/2 in k 50.762 * [backup-simplify]: Simplify 1/2 into 1/2 50.762 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 50.762 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 50.762 * [taylor]: Taking taylor expansion of 1 in k 50.762 * [backup-simplify]: Simplify 1 into 1 50.762 * [taylor]: Taking taylor expansion of (/ 1 k) in k 50.762 * [taylor]: Taking taylor expansion of k in k 50.762 * [backup-simplify]: Simplify 0 into 0 50.762 * [backup-simplify]: Simplify 1 into 1 50.762 * [backup-simplify]: Simplify (/ 1 1) into 1 50.762 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 50.762 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 50.762 * [taylor]: Taking taylor expansion of (* 2 PI) in k 50.762 * [taylor]: Taking taylor expansion of 2 in k 50.762 * [backup-simplify]: Simplify 2 into 2 50.762 * [taylor]: Taking taylor expansion of PI in k 50.762 * [backup-simplify]: Simplify PI into PI 50.763 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 50.764 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 50.764 * [taylor]: Taking taylor expansion of (log n) in k 50.764 * [taylor]: Taking taylor expansion of n in k 50.764 * [backup-simplify]: Simplify n into n 50.764 * [backup-simplify]: Simplify (log n) into (log n) 50.764 * [backup-simplify]: Simplify (- 1) into -1 50.765 * [backup-simplify]: Simplify (+ 0 -1) into -1 50.765 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 50.766 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 50.767 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 50.768 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 50.769 * [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))))) 50.769 * [taylor]: Taking taylor expansion of (sqrt k) in k 50.769 * [taylor]: Taking taylor expansion of k in k 50.769 * [backup-simplify]: Simplify 0 into 0 50.769 * [backup-simplify]: Simplify 1 into 1 50.770 * [backup-simplify]: Simplify (sqrt 0) into 0 50.771 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 50.772 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 50.772 * [backup-simplify]: Simplify 0 into 0 50.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 50.774 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 50.775 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 50.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 50.776 * [backup-simplify]: Simplify (- 0) into 0 50.776 * [backup-simplify]: Simplify (+ 0 0) into 0 50.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 50.777 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 50.778 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 50.779 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 50.780 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 50.780 * [taylor]: Taking taylor expansion of 0 in k 50.780 * [backup-simplify]: Simplify 0 into 0 50.780 * [backup-simplify]: Simplify 0 into 0 50.781 * [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))))))) 50.781 * [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))))))) 50.782 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 50.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.783 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 50.785 * [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 50.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 50.785 * [backup-simplify]: Simplify (- 0) into 0 50.786 * [backup-simplify]: Simplify (+ 0 0) into 0 50.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 50.787 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 50.788 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 50.790 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.791 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 50.791 * [taylor]: Taking taylor expansion of 0 in k 50.791 * [backup-simplify]: Simplify 0 into 0 50.791 * [backup-simplify]: Simplify 0 into 0 50.791 * [backup-simplify]: Simplify 0 into 0 50.793 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 50.794 * [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))))))) 50.795 * [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))))))) 50.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 50.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.796 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 50.799 * [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 50.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 50.800 * [backup-simplify]: Simplify (- 0) into 0 50.800 * [backup-simplify]: Simplify (+ 0 0) into 0 50.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 50.802 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 50.803 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 50.805 * [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 50.807 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 50.807 * [taylor]: Taking taylor expansion of 0 in k 50.807 * [backup-simplify]: Simplify 0 into 0 50.808 * [backup-simplify]: Simplify 0 into 0 50.808 * [backup-simplify]: Simplify 0 into 0 50.808 * [backup-simplify]: Simplify 0 into 0 50.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 50.814 * [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))))))) 50.815 * [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))))))) 50.819 * [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)))))))) 50.820 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (/ 1 (sqrt (/ 1 (- k))))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 50.820 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 50.820 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 50.820 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 50.820 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 50.820 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 50.820 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 50.820 * [taylor]: Taking taylor expansion of 1/2 in k 50.820 * [backup-simplify]: Simplify 1/2 into 1/2 50.820 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 50.820 * [taylor]: Taking taylor expansion of (/ 1 k) in k 50.820 * [taylor]: Taking taylor expansion of k in k 50.820 * [backup-simplify]: Simplify 0 into 0 50.820 * [backup-simplify]: Simplify 1 into 1 50.821 * [backup-simplify]: Simplify (/ 1 1) into 1 50.821 * [taylor]: Taking taylor expansion of 1 in k 50.821 * [backup-simplify]: Simplify 1 into 1 50.821 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 50.821 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 50.821 * [taylor]: Taking taylor expansion of -2 in k 50.821 * [backup-simplify]: Simplify -2 into -2 50.821 * [taylor]: Taking taylor expansion of (/ PI n) in k 50.821 * [taylor]: Taking taylor expansion of PI in k 50.821 * [backup-simplify]: Simplify PI into PI 50.821 * [taylor]: Taking taylor expansion of n in k 50.821 * [backup-simplify]: Simplify n into n 50.821 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 50.821 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 50.821 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 50.822 * [backup-simplify]: Simplify (+ 1 0) into 1 50.822 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.822 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 50.822 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 50.822 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 50.822 * [taylor]: Taking taylor expansion of (/ -1 k) in k 50.822 * [taylor]: Taking taylor expansion of -1 in k 50.822 * [backup-simplify]: Simplify -1 into -1 50.822 * [taylor]: Taking taylor expansion of k in k 50.822 * [backup-simplify]: Simplify 0 into 0 50.822 * [backup-simplify]: Simplify 1 into 1 50.823 * [backup-simplify]: Simplify (/ -1 1) into -1 50.823 * [backup-simplify]: Simplify (sqrt 0) into 0 50.825 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 50.825 * [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))))) 50.825 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 50.825 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 50.825 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 50.825 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 50.825 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 50.825 * [taylor]: Taking taylor expansion of 1/2 in n 50.825 * [backup-simplify]: Simplify 1/2 into 1/2 50.825 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 50.825 * [taylor]: Taking taylor expansion of (/ 1 k) in n 50.825 * [taylor]: Taking taylor expansion of k in n 50.825 * [backup-simplify]: Simplify k into k 50.825 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 50.825 * [taylor]: Taking taylor expansion of 1 in n 50.825 * [backup-simplify]: Simplify 1 into 1 50.825 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 50.825 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 50.825 * [taylor]: Taking taylor expansion of -2 in n 50.825 * [backup-simplify]: Simplify -2 into -2 50.825 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.825 * [taylor]: Taking taylor expansion of PI in n 50.825 * [backup-simplify]: Simplify PI into PI 50.825 * [taylor]: Taking taylor expansion of n in n 50.825 * [backup-simplify]: Simplify 0 into 0 50.825 * [backup-simplify]: Simplify 1 into 1 50.826 * [backup-simplify]: Simplify (/ PI 1) into PI 50.826 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 50.827 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 50.827 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 50.827 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 50.829 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 50.830 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 50.831 * [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))))) 50.831 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 50.831 * [taylor]: Taking taylor expansion of (/ -1 k) in n 50.831 * [taylor]: Taking taylor expansion of -1 in n 50.831 * [backup-simplify]: Simplify -1 into -1 50.831 * [taylor]: Taking taylor expansion of k in n 50.831 * [backup-simplify]: Simplify k into k 50.831 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 50.831 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 50.831 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 50.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 50.833 * [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))) 50.833 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 50.833 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 50.833 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 50.833 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 50.833 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 50.833 * [taylor]: Taking taylor expansion of 1/2 in n 50.833 * [backup-simplify]: Simplify 1/2 into 1/2 50.833 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 50.833 * [taylor]: Taking taylor expansion of (/ 1 k) in n 50.833 * [taylor]: Taking taylor expansion of k in n 50.833 * [backup-simplify]: Simplify k into k 50.833 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 50.833 * [taylor]: Taking taylor expansion of 1 in n 50.833 * [backup-simplify]: Simplify 1 into 1 50.833 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 50.833 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 50.833 * [taylor]: Taking taylor expansion of -2 in n 50.833 * [backup-simplify]: Simplify -2 into -2 50.833 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.833 * [taylor]: Taking taylor expansion of PI in n 50.833 * [backup-simplify]: Simplify PI into PI 50.833 * [taylor]: Taking taylor expansion of n in n 50.833 * [backup-simplify]: Simplify 0 into 0 50.833 * [backup-simplify]: Simplify 1 into 1 50.834 * [backup-simplify]: Simplify (/ PI 1) into PI 50.834 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 50.835 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 50.835 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 50.835 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 50.837 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 50.838 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 50.839 * [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))))) 50.839 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 50.839 * [taylor]: Taking taylor expansion of (/ -1 k) in n 50.839 * [taylor]: Taking taylor expansion of -1 in n 50.839 * [backup-simplify]: Simplify -1 into -1 50.839 * [taylor]: Taking taylor expansion of k in n 50.839 * [backup-simplify]: Simplify k into k 50.839 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 50.839 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 50.839 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 50.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 50.841 * [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))) 50.841 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 50.841 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 50.841 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 50.841 * [taylor]: Taking taylor expansion of 1/2 in k 50.841 * [backup-simplify]: Simplify 1/2 into 1/2 50.841 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 50.841 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 50.841 * [taylor]: Taking taylor expansion of (/ 1 k) in k 50.841 * [taylor]: Taking taylor expansion of k in k 50.841 * [backup-simplify]: Simplify 0 into 0 50.841 * [backup-simplify]: Simplify 1 into 1 50.842 * [backup-simplify]: Simplify (/ 1 1) into 1 50.842 * [taylor]: Taking taylor expansion of 1 in k 50.842 * [backup-simplify]: Simplify 1 into 1 50.842 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 50.842 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 50.842 * [taylor]: Taking taylor expansion of (* -2 PI) in k 50.842 * [taylor]: Taking taylor expansion of -2 in k 50.842 * [backup-simplify]: Simplify -2 into -2 50.842 * [taylor]: Taking taylor expansion of PI in k 50.842 * [backup-simplify]: Simplify PI into PI 50.842 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 50.843 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 50.843 * [taylor]: Taking taylor expansion of (log n) in k 50.843 * [taylor]: Taking taylor expansion of n in k 50.843 * [backup-simplify]: Simplify n into n 50.843 * [backup-simplify]: Simplify (log n) into (log n) 50.844 * [backup-simplify]: Simplify (+ 1 0) into 1 50.844 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 50.845 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 50.846 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 50.847 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 50.848 * [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))))) 50.848 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 50.848 * [taylor]: Taking taylor expansion of (/ -1 k) in k 50.848 * [taylor]: Taking taylor expansion of -1 in k 50.848 * [backup-simplify]: Simplify -1 into -1 50.848 * [taylor]: Taking taylor expansion of k in k 50.848 * [backup-simplify]: Simplify 0 into 0 50.848 * [backup-simplify]: Simplify 1 into 1 50.849 * [backup-simplify]: Simplify (/ -1 1) into -1 50.849 * [backup-simplify]: Simplify (sqrt 0) into 0 50.853 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 50.855 * [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)))))) 50.856 * [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)))))) 50.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 50.858 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 50.859 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 50.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 50.860 * [backup-simplify]: Simplify (+ 0 0) into 0 50.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 50.862 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 50.863 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 50.865 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 50.866 * [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 50.866 * [taylor]: Taking taylor expansion of 0 in k 50.866 * [backup-simplify]: Simplify 0 into 0 50.866 * [backup-simplify]: Simplify 0 into 0 50.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 50.870 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 50.872 * [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))))))) 50.873 * [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))))))) 50.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.875 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 50.879 * [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 50.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 50.879 * [backup-simplify]: Simplify (+ 0 0) into 0 50.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 50.881 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 50.883 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 50.885 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.885 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 50.886 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 50.888 * [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 50.888 * [taylor]: Taking taylor expansion of 0 in k 50.888 * [backup-simplify]: Simplify 0 into 0 50.888 * [backup-simplify]: Simplify 0 into 0 50.888 * [backup-simplify]: Simplify 0 into 0 50.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 50.896 * [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))))))) 50.897 * [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))))))) 50.899 * [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)))))))))))) 50.899 * * * [progress]: simplifying candidates 50.899 * * * * [progress]: [ 1 / 189 ] simplifiying candidate # 50.900 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 50.900 * * [simplify]: iters left: 6 (13 enodes) 50.903 * * [simplify]: iters left: 5 (54 enodes) 50.913 * * [simplify]: iters left: 4 (97 enodes) 50.937 * * [simplify]: iters left: 3 (244 enodes) 51.031 * * [simplify]: Extracting #0: cost 1 inf + 0 51.031 * * [simplify]: Extracting #1: cost 31 inf + 0 51.032 * * [simplify]: Extracting #2: cost 128 inf + 2 51.032 * * [simplify]: Extracting #3: cost 162 inf + 1217 51.034 * * [simplify]: Extracting #4: cost 110 inf + 9712 51.044 * * [simplify]: Extracting #5: cost 12 inf + 38675 51.059 * * [simplify]: Extracting #6: cost 0 inf + 42408 51.078 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 51.078 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (/ 1 (sqrt k)))) 51.078 * * * * [progress]: [ 2 / 189 ] simplifiying candidate # 51.079 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 51.079 * * [simplify]: iters left: 6 (12 enodes) 51.086 * * [simplify]: iters left: 5 (52 enodes) 51.100 * * [simplify]: iters left: 4 (90 enodes) 51.116 * * [simplify]: iters left: 3 (203 enodes) 51.189 * * [simplify]: Extracting #0: cost 1 inf + 0 51.189 * * [simplify]: Extracting #1: cost 29 inf + 0 51.190 * * [simplify]: Extracting #2: cost 112 inf + 2 51.190 * * [simplify]: Extracting #3: cost 149 inf + 341 51.193 * * [simplify]: Extracting #4: cost 110 inf + 5554 51.200 * * [simplify]: Extracting #5: cost 30 inf + 23496 51.211 * * [simplify]: Extracting #6: cost 1 inf + 31878 51.219 * * [simplify]: Extracting #7: cost 0 inf + 32142 51.225 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 51.225 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (/ 1 (sqrt k)))) 51.225 * * * * [progress]: [ 3 / 189 ] simplifiying candidate # 51.225 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 51.225 * * [simplify]: iters left: 6 (11 enodes) 51.229 * * [simplify]: iters left: 5 (51 enodes) 51.238 * * [simplify]: iters left: 4 (97 enodes) 51.264 * * [simplify]: iters left: 3 (199 enodes) 51.329 * * [simplify]: Extracting #0: cost 1 inf + 0 51.329 * * [simplify]: Extracting #1: cost 32 inf + 0 51.330 * * [simplify]: Extracting #2: cost 113 inf + 2 51.331 * * [simplify]: Extracting #3: cost 154 inf + 200 51.332 * * [simplify]: Extracting #4: cost 123 inf + 3386 51.335 * * [simplify]: Extracting #5: cost 47 inf + 17339 51.340 * * [simplify]: Extracting #6: cost 3 inf + 27690 51.345 * * [simplify]: Extracting #7: cost 0 inf + 28612 51.351 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 51.351 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (/ 1 (sqrt k)))) 51.351 * * * * [progress]: [ 4 / 189 ] simplifiying candidate # 51.351 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 51.351 * * [simplify]: iters left: 6 (11 enodes) 51.358 * * [simplify]: iters left: 5 (51 enodes) 51.379 * * [simplify]: iters left: 4 (97 enodes) 51.402 * * [simplify]: iters left: 3 (199 enodes) 51.475 * * [simplify]: Extracting #0: cost 1 inf + 0 51.475 * * [simplify]: Extracting #1: cost 32 inf + 0 51.475 * * [simplify]: Extracting #2: cost 113 inf + 2 51.477 * * [simplify]: Extracting #3: cost 154 inf + 200 51.478 * * [simplify]: Extracting #4: cost 123 inf + 3386 51.481 * * [simplify]: Extracting #5: cost 47 inf + 17339 51.486 * * [simplify]: Extracting #6: cost 3 inf + 27690 51.492 * * [simplify]: Extracting #7: cost 0 inf + 28612 51.497 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 51.497 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (/ 1 (sqrt k)))) 51.497 * * * * [progress]: [ 5 / 189 ] simplifiying candidate # 51.498 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 51.498 * * [simplify]: iters left: 6 (6 enodes) 51.500 * * [simplify]: iters left: 5 (27 enodes) 51.505 * * [simplify]: iters left: 4 (47 enodes) 51.517 * * [simplify]: iters left: 3 (59 enodes) 51.533 * * [simplify]: iters left: 2 (77 enodes) 51.554 * * [simplify]: iters left: 1 (104 enodes) 51.579 * * [simplify]: Extracting #0: cost 1 inf + 0 51.579 * * [simplify]: Extracting #1: cost 9 inf + 0 51.579 * * [simplify]: Extracting #2: cost 18 inf + 3 51.579 * * [simplify]: Extracting #3: cost 15 inf + 131 51.580 * * [simplify]: Extracting #4: cost 2 inf + 962 51.583 * * [simplify]: Extracting #5: cost 0 inf + 1086 51.584 * [simplify]: Simplified to (* 1/2 (- 1 k)) 51.584 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (/ 1 (sqrt k)))) 51.584 * * * * [progress]: [ 6 / 189 ] simplifiying candidate # 51.584 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 51.584 * * [simplify]: iters left: 6 (6 enodes) 51.589 * * [simplify]: iters left: 5 (27 enodes) 51.599 * * [simplify]: iters left: 4 (47 enodes) 51.614 * * [simplify]: iters left: 3 (59 enodes) 51.631 * * [simplify]: iters left: 2 (77 enodes) 51.654 * * [simplify]: iters left: 1 (104 enodes) 51.679 * * [simplify]: Extracting #0: cost 1 inf + 0 51.679 * * [simplify]: Extracting #1: cost 9 inf + 0 51.680 * * [simplify]: Extracting #2: cost 18 inf + 3 51.680 * * [simplify]: Extracting #3: cost 15 inf + 131 51.680 * * [simplify]: Extracting #4: cost 2 inf + 962 51.681 * * [simplify]: Extracting #5: cost 0 inf + 1086 51.682 * [simplify]: Simplified to (* 1/2 (- 1 k)) 51.682 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (/ 1 (sqrt k)))) 51.682 * * * * [progress]: [ 7 / 189 ] simplifiying candidate # 51.683 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 51.683 * * [simplify]: iters left: 6 (6 enodes) 51.687 * * [simplify]: iters left: 5 (27 enodes) 51.697 * * [simplify]: iters left: 4 (47 enodes) 51.710 * * [simplify]: iters left: 3 (59 enodes) 51.721 * * [simplify]: iters left: 2 (77 enodes) 51.732 * * [simplify]: iters left: 1 (104 enodes) 51.745 * * [simplify]: Extracting #0: cost 1 inf + 0 51.745 * * [simplify]: Extracting #1: cost 9 inf + 0 51.745 * * [simplify]: Extracting #2: cost 18 inf + 3 51.745 * * [simplify]: Extracting #3: cost 15 inf + 131 51.745 * * [simplify]: Extracting #4: cost 2 inf + 962 51.746 * * [simplify]: Extracting #5: cost 0 inf + 1086 51.746 * [simplify]: Simplified to (* 1/2 (- 1 k)) 51.746 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (/ 1 (sqrt k)))) 51.746 * * * * [progress]: [ 8 / 189 ] simplifiying candidate # 51.747 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 51.747 * * [simplify]: iters left: 5 (8 enodes) 51.750 * * [simplify]: iters left: 4 (35 enodes) 51.758 * * [simplify]: iters left: 3 (63 enodes) 51.783 * * [simplify]: iters left: 2 (108 enodes) 51.802 * * [simplify]: iters left: 1 (162 enodes) 51.832 * * [simplify]: Extracting #0: cost 1 inf + 0 51.832 * * [simplify]: Extracting #1: cost 12 inf + 0 51.832 * * [simplify]: Extracting #2: cost 40 inf + 2 51.833 * * [simplify]: Extracting #3: cost 40 inf + 9 51.833 * * [simplify]: Extracting #4: cost 25 inf + 2233 51.835 * * [simplify]: Extracting #5: cost 10 inf + 8991 51.838 * * [simplify]: Extracting #6: cost 0 inf + 14572 51.841 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 51.841 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (pow (* n (* 2 PI)) (/ k 2))) (/ 1 (sqrt k)))) 51.842 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 51.842 * * [simplify]: iters left: 5 (8 enodes) 51.846 * * [simplify]: iters left: 4 (31 enodes) 51.856 * * [simplify]: iters left: 3 (51 enodes) 51.872 * * [simplify]: iters left: 2 (85 enodes) 51.899 * * [simplify]: iters left: 1 (152 enodes) 51.932 * * [simplify]: Extracting #0: cost 1 inf + 0 51.932 * * [simplify]: Extracting #1: cost 13 inf + 0 51.933 * * [simplify]: Extracting #2: cost 60 inf + 1 51.933 * * [simplify]: Extracting #3: cost 75 inf + 9 51.934 * * [simplify]: Extracting #4: cost 41 inf + 3220 51.937 * * [simplify]: Extracting #5: cost 16 inf + 10552 51.943 * * [simplify]: Extracting #6: cost 0 inf + 20904 51.948 * * [simplify]: Extracting #7: cost 0 inf + 20373 51.953 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 51.953 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (pow (* (* n 2) PI) (/ k 2))) (/ 1 (sqrt k)))) 51.954 * * * * [progress]: [ 9 / 189 ] simplifiying candidate # 51.954 * [simplify]: Simplifying (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 51.954 * * [simplify]: iters left: 6 (12 enodes) 51.961 * * [simplify]: iters left: 5 (51 enodes) 51.977 * * [simplify]: iters left: 4 (79 enodes) 52.001 * * [simplify]: iters left: 3 (118 enodes) 52.038 * * [simplify]: iters left: 2 (199 enodes) 52.096 * * [simplify]: iters left: 1 (354 enodes) 52.267 * * [simplify]: Extracting #0: cost 1 inf + 0 52.267 * * [simplify]: Extracting #1: cost 27 inf + 0 52.267 * * [simplify]: Extracting #2: cost 112 inf + 1 52.268 * * [simplify]: Extracting #3: cost 194 inf + 175 52.269 * * [simplify]: Extracting #4: cost 203 inf + 429 52.270 * * [simplify]: Extracting #5: cost 208 inf + 429 52.271 * * [simplify]: Extracting #6: cost 200 inf + 1412 52.275 * * [simplify]: Extracting #7: cost 93 inf + 27530 52.289 * * [simplify]: Extracting #8: cost 23 inf + 71276 52.322 * * [simplify]: Extracting #9: cost 0 inf + 92839 52.362 * * [simplify]: Extracting #10: cost 0 inf + 91398 52.396 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 52.396 * [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))) (/ 1 (sqrt k)))) 52.397 * * * * [progress]: [ 10 / 189 ] simplifiying candidate # 52.397 * [simplify]: Simplifying (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) 52.397 * * [simplify]: iters left: 6 (11 enodes) 52.404 * * [simplify]: iters left: 5 (48 enodes) 52.418 * * [simplify]: iters left: 4 (74 enodes) 52.440 * * [simplify]: iters left: 3 (105 enodes) 52.461 * * [simplify]: iters left: 2 (161 enodes) 52.503 * * [simplify]: iters left: 1 (278 enodes) 52.673 * * [simplify]: Extracting #0: cost 1 inf + 0 52.673 * * [simplify]: Extracting #1: cost 29 inf + 0 52.674 * * [simplify]: Extracting #2: cost 103 inf + 1 52.675 * * [simplify]: Extracting #3: cost 133 inf + 174 52.676 * * [simplify]: Extracting #4: cost 132 inf + 388 52.678 * * [simplify]: Extracting #5: cost 129 inf + 556 52.682 * * [simplify]: Extracting #6: cost 86 inf + 11351 52.691 * * [simplify]: Extracting #7: cost 50 inf + 25422 52.712 * * [simplify]: Extracting #8: cost 1 inf + 70565 52.736 * * [simplify]: Extracting #9: cost 0 inf + 71813 52.764 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) 52.764 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 52.764 * * * * [progress]: [ 11 / 189 ] simplifiying candidate # 52.764 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) 52.764 * * [simplify]: iters left: 6 (14 enodes) 52.768 * * [simplify]: iters left: 5 (59 enodes) 52.778 * * [simplify]: iters left: 4 (104 enodes) 52.795 * * [simplify]: iters left: 3 (186 enodes) 52.849 * * [simplify]: iters left: 2 (434 enodes) 53.068 * * [simplify]: Extracting #0: cost 1 inf + 0 53.068 * * [simplify]: Extracting #1: cost 12 inf + 0 53.069 * * [simplify]: Extracting #2: cost 112 inf + 1 53.070 * * [simplify]: Extracting #3: cost 232 inf + 215 53.071 * * [simplify]: Extracting #4: cost 230 inf + 1838 53.074 * * [simplify]: Extracting #5: cost 162 inf + 17856 53.085 * * [simplify]: Extracting #6: cost 33 inf + 62390 53.100 * * [simplify]: Extracting #7: cost 2 inf + 84429 53.128 * * [simplify]: Extracting #8: cost 0 inf + 84580 53.148 * * [simplify]: Extracting #9: cost 0 inf + 84291 53.164 * * [simplify]: Extracting #10: cost 0 inf + 84213 53.179 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 53.179 * [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))) (/ 1 (sqrt k)))) 53.179 * * * * [progress]: [ 12 / 189 ] simplifiying candidate # 53.179 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) 53.179 * * [simplify]: iters left: 6 (13 enodes) 53.183 * * [simplify]: iters left: 5 (52 enodes) 53.200 * * [simplify]: iters left: 4 (82 enodes) 53.222 * * [simplify]: iters left: 3 (136 enodes) 53.248 * * [simplify]: iters left: 2 (272 enodes) 53.334 * * [simplify]: Extracting #0: cost 1 inf + 0 53.334 * * [simplify]: Extracting #1: cost 12 inf + 0 53.334 * * [simplify]: Extracting #2: cost 88 inf + 1 53.335 * * [simplify]: Extracting #3: cost 151 inf + 6 53.336 * * [simplify]: Extracting #4: cost 144 inf + 992 53.337 * * [simplify]: Extracting #5: cost 131 inf + 2339 53.343 * * [simplify]: Extracting #6: cost 59 inf + 21693 53.359 * * [simplify]: Extracting #7: cost 9 inf + 46808 53.377 * * [simplify]: Extracting #8: cost 0 inf + 55030 53.390 * * [simplify]: Extracting #9: cost 0 inf + 54610 53.400 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) 53.400 * [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))) (/ 1 (sqrt k)))) 53.400 * * * * [progress]: [ 13 / 189 ] simplifiying candidate # 53.400 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 53.400 * * [simplify]: iters left: 6 (12 enodes) 53.404 * * [simplify]: iters left: 5 (47 enodes) 53.415 * * [simplify]: iters left: 4 (83 enodes) 53.442 * * [simplify]: iters left: 3 (123 enodes) 53.472 * * [simplify]: iters left: 2 (221 enodes) 53.556 * * [simplify]: iters left: 1 (473 enodes) 53.928 * * [simplify]: Extracting #0: cost 1 inf + 0 53.928 * * [simplify]: Extracting #1: cost 34 inf + 0 53.929 * * [simplify]: Extracting #2: cost 135 inf + 1 53.931 * * [simplify]: Extracting #3: cost 212 inf + 136 53.933 * * [simplify]: Extracting #4: cost 213 inf + 431 53.936 * * [simplify]: Extracting #5: cost 211 inf + 515 53.942 * * [simplify]: Extracting #6: cost 142 inf + 14322 53.960 * * [simplify]: Extracting #7: cost 51 inf + 52633 53.991 * * [simplify]: Extracting #8: cost 11 inf + 89338 54.012 * * [simplify]: Extracting #9: cost 0 inf + 103865 54.033 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) 54.033 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2)) (/ 1 (sqrt k)))) 54.034 * * * * [progress]: [ 14 / 189 ] simplifiying candidate # 54.034 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 54.034 * * [simplify]: iters left: 6 (13 enodes) 54.042 * * [simplify]: iters left: 5 (52 enodes) 54.060 * * [simplify]: iters left: 4 (80 enodes) 54.086 * * [simplify]: iters left: 3 (128 enodes) 54.129 * * [simplify]: iters left: 2 (246 enodes) 54.195 * * [simplify]: iters left: 1 (489 enodes) 54.548 * * [simplify]: Extracting #0: cost 1 inf + 0 54.548 * * [simplify]: Extracting #1: cost 30 inf + 0 54.548 * * [simplify]: Extracting #2: cost 204 inf + 1 54.550 * * [simplify]: Extracting #3: cost 422 inf + 743 54.552 * * [simplify]: Extracting #4: cost 379 inf + 9404 54.556 * * [simplify]: Extracting #5: cost 350 inf + 14022 54.565 * * [simplify]: Extracting #6: cost 172 inf + 57888 54.591 * * [simplify]: Extracting #7: cost 16 inf + 135359 54.649 * * [simplify]: Extracting #8: cost 0 inf + 150451 54.680 * * [simplify]: Extracting #9: cost 0 inf + 149971 54.732 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) 54.732 * [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))) (/ 1 (sqrt k)))) 54.732 * * * * [progress]: [ 15 / 189 ] simplifiying candidate # 54.733 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) 54.733 * * [simplify]: iters left: 6 (12 enodes) 54.736 * * [simplify]: iters left: 5 (47 enodes) 54.744 * * [simplify]: iters left: 4 (71 enodes) 54.758 * * [simplify]: iters left: 3 (109 enodes) 54.791 * * [simplify]: iters left: 2 (192 enodes) 54.836 * * [simplify]: iters left: 1 (357 enodes) 55.052 * * [simplify]: Extracting #0: cost 1 inf + 0 55.052 * * [simplify]: Extracting #1: cost 29 inf + 0 55.052 * * [simplify]: Extracting #2: cost 135 inf + 1 55.054 * * [simplify]: Extracting #3: cost 251 inf + 255 55.057 * * [simplify]: Extracting #4: cost 225 inf + 3400 55.060 * * [simplify]: Extracting #5: cost 205 inf + 5445 55.069 * * [simplify]: Extracting #6: cost 122 inf + 23316 55.089 * * [simplify]: Extracting #7: cost 43 inf + 53612 55.106 * * [simplify]: Extracting #8: cost 2 inf + 92427 55.130 * * [simplify]: Extracting #9: cost 0 inf + 94805 55.157 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 55.157 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k)))) 55.157 * * * * [progress]: [ 16 / 189 ] simplifiying candidate # 55.157 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) 55.158 * * [simplify]: iters left: 6 (11 enodes) 55.161 * * [simplify]: iters left: 5 (42 enodes) 55.167 * * [simplify]: iters left: 4 (64 enodes) 55.178 * * [simplify]: iters left: 3 (98 enodes) 55.194 * * [simplify]: iters left: 2 (156 enodes) 55.236 * * [simplify]: iters left: 1 (280 enodes) 55.328 * * [simplify]: Extracting #0: cost 1 inf + 0 55.329 * * [simplify]: Extracting #1: cost 30 inf + 0 55.329 * * [simplify]: Extracting #2: cost 110 inf + 1 55.330 * * [simplify]: Extracting #3: cost 133 inf + 133 55.331 * * [simplify]: Extracting #4: cost 128 inf + 429 55.333 * * [simplify]: Extracting #5: cost 118 inf + 1666 55.338 * * [simplify]: Extracting #6: cost 62 inf + 21931 55.356 * * [simplify]: Extracting #7: cost 7 inf + 67089 55.368 * * [simplify]: Extracting #8: cost 0 inf + 70630 55.378 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (- 1 k))) 55.378 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)) (/ 1 (sqrt k)))) 55.379 * * * * [progress]: [ 17 / 189 ] simplifiying candidate # 55.379 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 55.379 * * [simplify]: iters left: 6 (10 enodes) 55.382 * * [simplify]: iters left: 5 (41 enodes) 55.389 * * [simplify]: iters left: 4 (66 enodes) 55.403 * * [simplify]: iters left: 3 (116 enodes) 55.429 * * [simplify]: iters left: 2 (219 enodes) 55.503 * * [simplify]: iters left: 1 (499 enodes) 55.879 * * [simplify]: Extracting #0: cost 1 inf + 0 55.879 * * [simplify]: Extracting #1: cost 35 inf + 0 55.880 * * [simplify]: Extracting #2: cost 129 inf + 1 55.881 * * [simplify]: Extracting #3: cost 198 inf + 827 55.888 * * [simplify]: Extracting #4: cost 122 inf + 18089 55.906 * * [simplify]: Extracting #5: cost 25 inf + 62444 55.929 * * [simplify]: Extracting #6: cost 0 inf + 84055 55.945 * * [simplify]: Extracting #7: cost 0 inf + 83884 55.971 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 55.971 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k)))) 55.971 * * * * [progress]: [ 18 / 189 ] simplifiying candidate # 55.972 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 55.972 * * [simplify]: iters left: 5 (9 enodes) 55.977 * * [simplify]: iters left: 4 (36 enodes) 55.990 * * [simplify]: iters left: 3 (57 enodes) 56.013 * * [simplify]: iters left: 2 (96 enodes) 56.039 * * [simplify]: iters left: 1 (171 enodes) 56.092 * * [simplify]: Extracting #0: cost 1 inf + 0 56.093 * * [simplify]: Extracting #1: cost 12 inf + 0 56.093 * * [simplify]: Extracting #2: cost 50 inf + 1 56.094 * * [simplify]: Extracting #3: cost 73 inf + 6 56.095 * * [simplify]: Extracting #4: cost 58 inf + 1463 56.097 * * [simplify]: Extracting #5: cost 24 inf + 7936 56.103 * * [simplify]: Extracting #6: cost 2 inf + 20820 56.110 * * [simplify]: Extracting #7: cost 0 inf + 22437 56.117 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 56.117 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k)))) 56.117 * * * * [progress]: [ 19 / 189 ] simplifiying candidate # 56.117 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 56.117 * * [simplify]: iters left: 5 (8 enodes) 56.126 * * [simplify]: iters left: 4 (34 enodes) 56.136 * * [simplify]: iters left: 3 (64 enodes) 56.149 * * [simplify]: iters left: 2 (105 enodes) 56.174 * * [simplify]: iters left: 1 (177 enodes) 56.216 * * [simplify]: Extracting #0: cost 1 inf + 0 56.216 * * [simplify]: Extracting #1: cost 17 inf + 0 56.216 * * [simplify]: Extracting #2: cost 34 inf + 46 56.217 * * [simplify]: Extracting #3: cost 26 inf + 466 56.218 * * [simplify]: Extracting #4: cost 11 inf + 6543 56.220 * * [simplify]: Extracting #5: cost 1 inf + 10885 56.223 * * [simplify]: Extracting #6: cost 0 inf + 11179 56.226 * [simplify]: Simplified to (* (* PI 2) n) 56.226 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 56.226 * * * * [progress]: [ 20 / 189 ] simplifiying candidate # 56.227 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) 56.227 * * [simplify]: iters left: 6 (14 enodes) 56.235 * * [simplify]: iters left: 5 (54 enodes) 56.251 * * [simplify]: iters left: 4 (79 enodes) 56.275 * * [simplify]: iters left: 3 (128 enodes) 56.319 * * [simplify]: iters left: 2 (254 enodes) 56.392 * * [simplify]: Extracting #0: cost 1 inf + 0 56.392 * * [simplify]: Extracting #1: cost 12 inf + 0 56.392 * * [simplify]: Extracting #2: cost 77 inf + 1 56.392 * * [simplify]: Extracting #3: cost 138 inf + 6 56.393 * * [simplify]: Extracting #4: cost 119 inf + 2891 56.394 * * [simplify]: Extracting #5: cost 99 inf + 5644 56.397 * * [simplify]: Extracting #6: cost 51 inf + 18419 56.403 * * [simplify]: Extracting #7: cost 9 inf + 40691 56.411 * * [simplify]: Extracting #8: cost 1 inf + 49261 56.426 * * [simplify]: Extracting #9: cost 0 inf + 50208 56.442 * * [simplify]: Extracting #10: cost 0 inf + 50077 56.461 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 56.461 * [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))) (/ 1 (sqrt k)))) 56.461 * * * * [progress]: [ 21 / 189 ] simplifiying candidate # 56.461 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) 56.461 * * [simplify]: iters left: 6 (13 enodes) 56.470 * * [simplify]: iters left: 5 (49 enodes) 56.484 * * [simplify]: iters left: 4 (70 enodes) 56.506 * * [simplify]: iters left: 3 (109 enodes) 56.527 * * [simplify]: iters left: 2 (197 enodes) 56.576 * * [simplify]: iters left: 1 (357 enodes) 56.758 * * [simplify]: Extracting #0: cost 1 inf + 0 56.758 * * [simplify]: Extracting #1: cost 28 inf + 0 56.759 * * [simplify]: Extracting #2: cost 146 inf + 1 56.760 * * [simplify]: Extracting #3: cost 239 inf + 259 56.762 * * [simplify]: Extracting #4: cost 243 inf + 429 56.766 * * [simplify]: Extracting #5: cost 195 inf + 6376 56.775 * * [simplify]: Extracting #6: cost 76 inf + 35704 56.787 * * [simplify]: Extracting #7: cost 17 inf + 74273 56.809 * * [simplify]: Extracting #8: cost 0 inf + 91451 56.845 * * [simplify]: Extracting #9: cost 0 inf + 90789 56.877 * * [simplify]: Extracting #10: cost 0 inf + 90459 56.909 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 56.909 * [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))) (/ 1 (sqrt k)))) 56.910 * * * * [progress]: [ 22 / 189 ] simplifiying candidate # 56.910 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) 56.910 * * [simplify]: iters left: 6 (12 enodes) 56.916 * * [simplify]: iters left: 5 (44 enodes) 56.922 * * [simplify]: iters left: 4 (63 enodes) 56.933 * * [simplify]: iters left: 3 (96 enodes) 56.953 * * [simplify]: iters left: 2 (161 enodes) 57.011 * * [simplify]: iters left: 1 (288 enodes) 57.115 * * [simplify]: Extracting #0: cost 1 inf + 0 57.115 * * [simplify]: Extracting #1: cost 29 inf + 0 57.115 * * [simplify]: Extracting #2: cost 96 inf + 1 57.116 * * [simplify]: Extracting #3: cost 129 inf + 215 57.118 * * [simplify]: Extracting #4: cost 121 inf + 594 57.121 * * [simplify]: Extracting #5: cost 77 inf + 9882 57.131 * * [simplify]: Extracting #6: cost 29 inf + 35322 57.146 * * [simplify]: Extracting #7: cost 0 inf + 61789 57.155 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 57.155 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- (sqrt 1) (sqrt k)) 2)) (/ 1 (sqrt k)))) 57.155 * * * * [progress]: [ 23 / 189 ] simplifiying candidate # 57.155 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 57.155 * * [simplify]: iters left: 6 (13 enodes) 57.159 * * [simplify]: iters left: 5 (51 enodes) 57.169 * * [simplify]: iters left: 4 (76 enodes) 57.191 * * [simplify]: iters left: 3 (124 enodes) 57.236 * * [simplify]: iters left: 2 (250 enodes) 57.314 * * [simplify]: Extracting #0: cost 1 inf + 0 57.315 * * [simplify]: Extracting #1: cost 13 inf + 0 57.315 * * [simplify]: Extracting #2: cost 76 inf + 1 57.316 * * [simplify]: Extracting #3: cost 135 inf + 209 57.317 * * [simplify]: Extracting #4: cost 120 inf + 2806 57.319 * * [simplify]: Extracting #5: cost 101 inf + 5276 57.323 * * [simplify]: Extracting #6: cost 81 inf + 11120 57.332 * * [simplify]: Extracting #7: cost 26 inf + 32887 57.346 * * [simplify]: Extracting #8: cost 2 inf + 46287 57.362 * * [simplify]: Extracting #9: cost 0 inf + 47832 57.374 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 57.374 * [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))) (/ 1 (sqrt k)))) 57.375 * * * * [progress]: [ 24 / 189 ] simplifiying candidate # 57.375 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) 57.375 * * [simplify]: iters left: 6 (12 enodes) 57.378 * * [simplify]: iters left: 5 (46 enodes) 57.386 * * [simplify]: iters left: 4 (67 enodes) 57.398 * * [simplify]: iters left: 3 (106 enodes) 57.426 * * [simplify]: iters left: 2 (197 enodes) 57.477 * * [simplify]: iters left: 1 (359 enodes) 57.653 * * [simplify]: Extracting #0: cost 1 inf + 0 57.654 * * [simplify]: Extracting #1: cost 30 inf + 0 57.654 * * [simplify]: Extracting #2: cost 139 inf + 1 57.656 * * [simplify]: Extracting #3: cost 235 inf + 257 57.659 * * [simplify]: Extracting #4: cost 220 inf + 2339 57.667 * * [simplify]: Extracting #5: cost 191 inf + 6458 57.680 * * [simplify]: Extracting #6: cost 79 inf + 40757 57.711 * * [simplify]: Extracting #7: cost 5 inf + 90679 57.729 * * [simplify]: Extracting #8: cost 0 inf + 92759 57.745 * * [simplify]: Extracting #9: cost 0 inf + 92308 57.761 * * [simplify]: Extracting #10: cost 0 inf + 92268 57.786 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 57.786 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 57.786 * * * * [progress]: [ 25 / 189 ] simplifiying candidate # 57.786 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 57.787 * * [simplify]: iters left: 6 (11 enodes) 57.792 * * [simplify]: iters left: 5 (41 enodes) 57.805 * * [simplify]: iters left: 4 (60 enodes) 57.824 * * [simplify]: iters left: 3 (94 enodes) 57.850 * * [simplify]: iters left: 2 (156 enodes) 57.903 * * [simplify]: iters left: 1 (285 enodes) 58.047 * * [simplify]: Extracting #0: cost 1 inf + 0 58.048 * * [simplify]: Extracting #1: cost 29 inf + 0 58.048 * * [simplify]: Extracting #2: cost 101 inf + 1 58.049 * * [simplify]: Extracting #3: cost 132 inf + 216 58.051 * * [simplify]: Extracting #4: cost 126 inf + 470 58.056 * * [simplify]: Extracting #5: cost 66 inf + 20430 58.072 * * [simplify]: Extracting #6: cost 14 inf + 52746 58.092 * * [simplify]: Extracting #7: cost 0 inf + 65165 58.112 * * [simplify]: Extracting #8: cost 0 inf + 64766 58.125 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 58.125 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 58.125 * * * * [progress]: [ 26 / 189 ] simplifiying candidate # 58.125 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 58.125 * * [simplify]: iters left: 6 (10 enodes) 58.129 * * [simplify]: iters left: 5 (41 enodes) 58.138 * * [simplify]: iters left: 4 (66 enodes) 58.150 * * [simplify]: iters left: 3 (116 enodes) 58.176 * * [simplify]: iters left: 2 (219 enodes) 58.265 * * [simplify]: iters left: 1 (499 enodes) 58.636 * * [simplify]: Extracting #0: cost 1 inf + 0 58.637 * * [simplify]: Extracting #1: cost 35 inf + 0 58.637 * * [simplify]: Extracting #2: cost 129 inf + 1 58.638 * * [simplify]: Extracting #3: cost 198 inf + 827 58.642 * * [simplify]: Extracting #4: cost 122 inf + 18089 58.653 * * [simplify]: Extracting #5: cost 25 inf + 62444 58.668 * * [simplify]: Extracting #6: cost 0 inf + 84055 58.686 * * [simplify]: Extracting #7: cost 0 inf + 83884 58.717 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 58.717 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k)))) 58.717 * * * * [progress]: [ 27 / 189 ] simplifiying candidate # 58.718 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 58.718 * * [simplify]: iters left: 5 (9 enodes) 58.723 * * [simplify]: iters left: 4 (36 enodes) 58.736 * * [simplify]: iters left: 3 (57 enodes) 58.756 * * [simplify]: iters left: 2 (96 enodes) 58.774 * * [simplify]: iters left: 1 (171 enodes) 58.818 * * [simplify]: Extracting #0: cost 1 inf + 0 58.818 * * [simplify]: Extracting #1: cost 12 inf + 0 58.818 * * [simplify]: Extracting #2: cost 50 inf + 1 58.818 * * [simplify]: Extracting #3: cost 73 inf + 6 58.818 * * [simplify]: Extracting #4: cost 58 inf + 1463 58.820 * * [simplify]: Extracting #5: cost 24 inf + 7936 58.823 * * [simplify]: Extracting #6: cost 2 inf + 20820 58.826 * * [simplify]: Extracting #7: cost 0 inf + 22437 58.835 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 58.835 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k)))) 58.835 * * * * [progress]: [ 28 / 189 ] simplifiying candidate # 58.836 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 58.836 * * [simplify]: iters left: 5 (8 enodes) 58.841 * * [simplify]: iters left: 4 (34 enodes) 58.850 * * [simplify]: iters left: 3 (64 enodes) 58.862 * * [simplify]: iters left: 2 (105 enodes) 58.889 * * [simplify]: iters left: 1 (177 enodes) 58.956 * * [simplify]: Extracting #0: cost 1 inf + 0 58.956 * * [simplify]: Extracting #1: cost 17 inf + 0 58.956 * * [simplify]: Extracting #2: cost 34 inf + 46 58.957 * * [simplify]: Extracting #3: cost 26 inf + 466 58.958 * * [simplify]: Extracting #4: cost 11 inf + 6543 58.960 * * [simplify]: Extracting #5: cost 1 inf + 10885 58.961 * * [simplify]: Extracting #6: cost 0 inf + 11179 58.963 * [simplify]: Simplified to (* (* PI 2) n) 58.963 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 58.963 * * * * [progress]: [ 29 / 189 ] simplifiying candidate # 58.963 * [simplify]: Simplifying (pow (* n (* 2 PI)) 1) 58.963 * * [simplify]: iters left: 5 (7 enodes) 58.966 * * [simplify]: iters left: 4 (30 enodes) 58.973 * * [simplify]: iters left: 3 (58 enodes) 58.985 * * [simplify]: iters left: 2 (99 enodes) 59.004 * * [simplify]: iters left: 1 (171 enodes) 59.057 * * [simplify]: Extracting #0: cost 1 inf + 0 59.057 * * [simplify]: Extracting #1: cost 18 inf + 0 59.058 * * [simplify]: Extracting #2: cost 35 inf + 46 59.058 * * [simplify]: Extracting #3: cost 25 inf + 1347 59.060 * * [simplify]: Extracting #4: cost 14 inf + 5442 59.062 * * [simplify]: Extracting #5: cost 7 inf + 7909 59.065 * * [simplify]: Extracting #6: cost 0 inf + 11764 59.068 * [simplify]: Simplified to (* (* PI 2) n) 59.068 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 59.068 * * * * [progress]: [ 30 / 189 ] simplifiying candidate # 59.068 * [simplify]: Simplifying (pow (* n (* 2 PI)) (- 1 k)) 59.069 * * [simplify]: iters left: 5 (9 enodes) 59.074 * * [simplify]: iters left: 4 (38 enodes) 59.086 * * [simplify]: iters left: 3 (64 enodes) 59.107 * * [simplify]: iters left: 2 (102 enodes) 59.139 * * [simplify]: iters left: 1 (175 enodes) 59.179 * * [simplify]: Extracting #0: cost 1 inf + 0 59.179 * * [simplify]: Extracting #1: cost 13 inf + 0 59.179 * * [simplify]: Extracting #2: cost 59 inf + 1 59.180 * * [simplify]: Extracting #3: cost 82 inf + 132 59.182 * * [simplify]: Extracting #4: cost 45 inf + 4647 59.186 * * [simplify]: Extracting #5: cost 14 inf + 14753 59.192 * * [simplify]: Extracting #6: cost 1 inf + 22775 59.199 * * [simplify]: Extracting #7: cost 0 inf + 23442 59.206 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1 k)) 59.206 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (- 1 k)) (/ 1 2)) (/ 1 (sqrt k)))) 59.206 * * * * [progress]: [ 31 / 189 ] simplifiying candidate # 59.206 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 59.206 * * [simplify]: iters left: 5 (7 enodes) 59.211 * * [simplify]: iters left: 4 (32 enodes) 59.223 * * [simplify]: iters left: 3 (57 enodes) 59.241 * * [simplify]: iters left: 2 (90 enodes) 59.259 * * [simplify]: iters left: 1 (170 enodes) 59.319 * * [simplify]: Extracting #0: cost 1 inf + 0 59.319 * * [simplify]: Extracting #1: cost 13 inf + 0 59.320 * * [simplify]: Extracting #2: cost 55 inf + 2 59.320 * * [simplify]: Extracting #3: cost 88 inf + 6 59.321 * * [simplify]: Extracting #4: cost 77 inf + 1344 59.325 * * [simplify]: Extracting #5: cost 20 inf + 14540 59.332 * * [simplify]: Extracting #6: cost 1 inf + 21921 59.339 * * [simplify]: Extracting #7: cost 0 inf + 21176 59.347 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 59.347 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 59.348 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 59.348 * * [simplify]: iters left: 5 (8 enodes) 59.353 * * [simplify]: iters left: 4 (36 enodes) 59.365 * * [simplify]: iters left: 3 (57 enodes) 59.384 * * [simplify]: iters left: 2 (92 enodes) 59.405 * * [simplify]: iters left: 1 (188 enodes) 59.445 * * [simplify]: Extracting #0: cost 1 inf + 0 59.445 * * [simplify]: Extracting #1: cost 13 inf + 0 59.445 * * [simplify]: Extracting #2: cost 58 inf + 1 59.445 * * [simplify]: Extracting #3: cost 91 inf + 6 59.446 * * [simplify]: Extracting #4: cost 84 inf + 1386 59.447 * * [simplify]: Extracting #5: cost 34 inf + 8646 59.450 * * [simplify]: Extracting #6: cost 1 inf + 23512 59.454 * * [simplify]: Extracting #7: cost 0 inf + 24388 59.458 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 59.458 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 59.458 * * * * [progress]: [ 32 / 189 ] simplifiying candidate # 59.458 * * * * [progress]: [ 33 / 189 ] simplifiying candidate # 59.458 * [simplify]: Simplifying (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 59.458 * * [simplify]: iters left: 6 (11 enodes) 59.462 * * [simplify]: iters left: 5 (50 enodes) 59.471 * * [simplify]: iters left: 4 (97 enodes) 59.498 * * [simplify]: iters left: 3 (196 enodes) 59.561 * * [simplify]: Extracting #0: cost 1 inf + 0 59.561 * * [simplify]: Extracting #1: cost 46 inf + 0 59.562 * * [simplify]: Extracting #2: cost 129 inf + 1 59.562 * * [simplify]: Extracting #3: cost 177 inf + 448 59.564 * * [simplify]: Extracting #4: cost 122 inf + 10236 59.568 * * [simplify]: Extracting #5: cost 25 inf + 29555 59.574 * * [simplify]: Extracting #6: cost 1 inf + 37116 59.584 * * [simplify]: Extracting #7: cost 0 inf + 37231 59.596 * [simplify]: Simplified to (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) 59.597 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- 1 k) (/ 2 (log (* (* PI 2) n))))) (/ 1 (sqrt k)))) 59.597 * * * * [progress]: [ 34 / 189 ] simplifiying candidate # 59.600 * [simplify]: Simplifying (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 59.600 * * [simplify]: iters left: 6 (11 enodes) 59.607 * * [simplify]: iters left: 5 (48 enodes) 59.622 * * [simplify]: iters left: 4 (79 enodes) 59.648 * * [simplify]: iters left: 3 (127 enodes) 59.680 * * [simplify]: iters left: 2 (246 enodes) 59.763 * * [simplify]: iters left: 1 (490 enodes) 59.954 * * [simplify]: Extracting #0: cost 1 inf + 0 59.954 * * [simplify]: Extracting #1: cost 26 inf + 0 59.955 * * [simplify]: Extracting #2: cost 134 inf + 0 59.956 * * [simplify]: Extracting #3: cost 269 inf + 4 59.958 * * [simplify]: Extracting #4: cost 291 inf + 182 59.961 * * [simplify]: Extracting #5: cost 280 inf + 1261 59.967 * * [simplify]: Extracting #6: cost 195 inf + 17556 59.988 * * [simplify]: Extracting #7: cost 79 inf + 87620 60.013 * * [simplify]: Extracting #8: cost 2 inf + 149503 60.048 * * [simplify]: Extracting #9: cost 0 inf + 148481 60.093 * [simplify]: Simplified to (exp (pow (* (* PI 2) n) (/ (- 1 k) 2))) 60.093 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (log (exp (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ 1 (sqrt k)))) 60.093 * * * * [progress]: [ 35 / 189 ] simplifiying candidate # 60.093 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 60.094 * * [simplify]: iters left: 6 (12 enodes) 60.101 * * [simplify]: iters left: 5 (51 enodes) 60.118 * * [simplify]: iters left: 4 (84 enodes) 60.144 * * [simplify]: iters left: 3 (127 enodes) 60.174 * * [simplify]: iters left: 2 (212 enodes) 60.228 * * [simplify]: iters left: 1 (389 enodes) 60.412 * * [simplify]: Extracting #0: cost 1 inf + 0 60.412 * * [simplify]: Extracting #1: cost 3 inf + 0 60.412 * * [simplify]: Extracting #2: cost 5 inf + 0 60.412 * * [simplify]: Extracting #3: cost 34 inf + 0 60.413 * * [simplify]: Extracting #4: cost 116 inf + 1 60.415 * * [simplify]: Extracting #5: cost 167 inf + 176 60.416 * * [simplify]: Extracting #6: cost 161 inf + 1057 60.421 * * [simplify]: Extracting #7: cost 90 inf + 12763 60.430 * * [simplify]: Extracting #8: cost 46 inf + 28892 60.447 * * [simplify]: Extracting #9: cost 3 inf + 67650 60.457 * * [simplify]: Extracting #10: cost 0 inf + 68411 60.468 * * [simplify]: Extracting #11: cost 0 inf + 68280 60.479 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 60.479 * [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)))) (/ 1 (sqrt k)))) 60.479 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 60.480 * * [simplify]: iters left: 6 (11 enodes) 60.486 * * [simplify]: iters left: 5 (48 enodes) 60.501 * * [simplify]: iters left: 4 (77 enodes) 60.519 * * [simplify]: iters left: 3 (120 enodes) 60.542 * * [simplify]: iters left: 2 (218 enodes) 60.596 * * [simplify]: iters left: 1 (392 enodes) 60.741 * * [simplify]: Extracting #0: cost 1 inf + 0 60.741 * * [simplify]: Extracting #1: cost 3 inf + 0 60.742 * * [simplify]: Extracting #2: cost 32 inf + 0 60.742 * * [simplify]: Extracting #3: cost 113 inf + 1 60.744 * * [simplify]: Extracting #4: cost 183 inf + 176 60.745 * * [simplify]: Extracting #5: cost 174 inf + 1097 60.749 * * [simplify]: Extracting #6: cost 106 inf + 9497 60.761 * * [simplify]: Extracting #7: cost 36 inf + 40825 60.782 * * [simplify]: Extracting #8: cost 0 inf + 71678 60.810 * * [simplify]: Extracting #9: cost 0 inf + 68829 60.823 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 60.823 * [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))))) (/ 1 (sqrt k)))) 60.823 * * * * [progress]: [ 36 / 189 ] simplifiying candidate # 60.823 * [simplify]: Simplifying (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 60.823 * * [simplify]: iters left: 6 (12 enodes) 60.827 * * [simplify]: iters left: 5 (54 enodes) 60.837 * * [simplify]: iters left: 4 (107 enodes) 60.878 * * [simplify]: iters left: 3 (222 enodes) 60.963 * * [simplify]: iters left: 2 (473 enodes) 61.288 * * [simplify]: Extracting #0: cost 1 inf + 0 61.288 * * [simplify]: Extracting #1: cost 47 inf + 0 61.289 * * [simplify]: Extracting #2: cost 135 inf + 3 61.291 * * [simplify]: Extracting #3: cost 187 inf + 5 61.293 * * [simplify]: Extracting #4: cost 188 inf + 971 61.300 * * [simplify]: Extracting #5: cost 113 inf + 24576 61.326 * * [simplify]: Extracting #6: cost 43 inf + 80064 61.360 * * [simplify]: Extracting #7: cost 0 inf + 119576 61.396 * * [simplify]: Extracting #8: cost 0 inf + 118703 61.434 * * [simplify]: Extracting #9: cost 0 inf + 115578 61.476 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3) 61.476 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3)) (/ 1 (sqrt k)))) 61.476 * * * * [progress]: [ 37 / 189 ] simplifiying candidate # 61.476 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 61.476 * * [simplify]: iters left: 6 (11 enodes) 61.483 * * [simplify]: iters left: 5 (48 enodes) 61.497 * * [simplify]: iters left: 4 (78 enodes) 61.510 * * [simplify]: iters left: 3 (122 enodes) 61.540 * * [simplify]: iters left: 2 (223 enodes) 61.620 * * [simplify]: iters left: 1 (408 enodes) 61.804 * * [simplify]: Extracting #0: cost 1 inf + 0 61.804 * * [simplify]: Extracting #1: cost 4 inf + 0 61.804 * * [simplify]: Extracting #2: cost 37 inf + 0 61.805 * * [simplify]: Extracting #3: cost 135 inf + 1 61.806 * * [simplify]: Extracting #4: cost 179 inf + 220 61.809 * * [simplify]: Extracting #5: cost 155 inf + 2713 61.816 * * [simplify]: Extracting #6: cost 71 inf + 16900 61.834 * * [simplify]: Extracting #7: cost 20 inf + 50066 61.860 * * [simplify]: Extracting #8: cost 0 inf + 69765 61.887 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 61.887 * [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)))) (/ 1 (sqrt k)))) 61.887 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 61.888 * * [simplify]: iters left: 6 (11 enodes) 61.894 * * [simplify]: iters left: 5 (48 enodes) 61.910 * * [simplify]: iters left: 4 (78 enodes) 61.926 * * [simplify]: iters left: 3 (122 enodes) 61.967 * * [simplify]: iters left: 2 (223 enodes) 62.007 * * [simplify]: iters left: 1 (408 enodes) 62.158 * * [simplify]: Extracting #0: cost 1 inf + 0 62.158 * * [simplify]: Extracting #1: cost 4 inf + 0 62.158 * * [simplify]: Extracting #2: cost 37 inf + 0 62.158 * * [simplify]: Extracting #3: cost 135 inf + 1 62.159 * * [simplify]: Extracting #4: cost 179 inf + 220 62.160 * * [simplify]: Extracting #5: cost 155 inf + 2713 62.164 * * [simplify]: Extracting #6: cost 71 inf + 16900 62.176 * * [simplify]: Extracting #7: cost 20 inf + 50066 62.191 * * [simplify]: Extracting #8: cost 0 inf + 69765 62.209 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 62.209 * [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))))) (/ 1 (sqrt k)))) 62.209 * * * * [progress]: [ 38 / 189 ] simplifiying candidate # 62.209 * * * * [progress]: [ 39 / 189 ] simplifiying candidate # 62.209 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 62.209 * * [simplify]: iters left: 6 (11 enodes) 62.213 * * [simplify]: iters left: 5 (51 enodes) 62.222 * * [simplify]: iters left: 4 (87 enodes) 62.248 * * [simplify]: iters left: 3 (146 enodes) 62.286 * * [simplify]: iters left: 2 (263 enodes) 62.341 * * [simplify]: iters left: 1 (485 enodes) 62.540 * * [simplify]: Extracting #0: cost 1 inf + 0 62.540 * * [simplify]: Extracting #1: cost 27 inf + 0 62.540 * * [simplify]: Extracting #2: cost 108 inf + 1 62.541 * * [simplify]: Extracting #3: cost 195 inf + 178 62.542 * * [simplify]: Extracting #4: cost 186 inf + 1642 62.549 * * [simplify]: Extracting #5: cost 87 inf + 19304 62.568 * * [simplify]: Extracting #6: cost 11 inf + 54080 62.590 * * [simplify]: Extracting #7: cost 0 inf + 61765 62.612 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 62.612 * [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))) (/ 1 (sqrt k)))) 62.613 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 62.613 * * [simplify]: iters left: 6 (11 enodes) 62.617 * * [simplify]: iters left: 5 (51 enodes) 62.626 * * [simplify]: iters left: 4 (87 enodes) 62.653 * * [simplify]: iters left: 3 (146 enodes) 62.698 * * [simplify]: iters left: 2 (263 enodes) 62.765 * * [simplify]: iters left: 1 (485 enodes) 63.017 * * [simplify]: Extracting #0: cost 1 inf + 0 63.017 * * [simplify]: Extracting #1: cost 27 inf + 0 63.017 * * [simplify]: Extracting #2: cost 108 inf + 1 63.019 * * [simplify]: Extracting #3: cost 195 inf + 178 63.021 * * [simplify]: Extracting #4: cost 186 inf + 1642 63.028 * * [simplify]: Extracting #5: cost 87 inf + 19304 63.047 * * [simplify]: Extracting #6: cost 11 inf + 54080 63.070 * * [simplify]: Extracting #7: cost 0 inf + 61765 63.096 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 63.096 * [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)))) (/ 1 (sqrt k)))) 63.096 * * * * [progress]: [ 40 / 189 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))> 63.097 * [simplify]: Simplifying (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 63.097 * * [simplify]: iters left: 6 (11 enodes) 63.100 * * [simplify]: iters left: 5 (45 enodes) 63.108 * * [simplify]: iters left: 4 (74 enodes) 63.120 * * [simplify]: iters left: 3 (118 enodes) 63.158 * * [simplify]: iters left: 2 (216 enodes) 63.202 * * [simplify]: iters left: 1 (387 enodes) 63.385 * * [simplify]: Extracting #0: cost 1 inf + 0 63.386 * * [simplify]: Extracting #1: cost 2 inf + 0 63.386 * * [simplify]: Extracting #2: cost 28 inf + 0 63.386 * * [simplify]: Extracting #3: cost 106 inf + 1 63.387 * * [simplify]: Extracting #4: cost 165 inf + 218 63.389 * * [simplify]: Extracting #5: cost 163 inf + 644 63.397 * * [simplify]: Extracting #6: cost 97 inf + 9320 63.410 * * [simplify]: Extracting #7: cost 31 inf + 38445 63.430 * * [simplify]: Extracting #8: cost 0 inf + 62881 63.447 * * [simplify]: Extracting #9: cost 0 inf + 62681 63.457 * [simplify]: Simplified to (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) 63.457 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (posit16->real (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (/ 1 (sqrt k)))) 63.457 * * * * [progress]: [ 41 / 189 ] simplifiying candidate # 63.457 * * * * [progress]: [ 42 / 189 ] simplifiying candidate # 63.458 * [simplify]: Simplifying (- 1/2) 63.458 * * [simplify]: iters left: 2 (2 enodes) 63.459 * * [simplify]: iters left: 1 (7 enodes) 63.461 * * [simplify]: Extracting #0: cost 1 inf + 0 63.461 * * [simplify]: Extracting #1: cost 0 inf + 1 63.461 * [simplify]: Simplified to -1/2 63.461 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 63.461 * * * * [progress]: [ 43 / 189 ] simplifiying candidate # 63.461 * [simplify]: Simplifying (- 1) 63.461 * * [simplify]: iters left: 2 (2 enodes) 63.462 * * [simplify]: iters left: 1 (9 enodes) 63.464 * * [simplify]: Extracting #0: cost 1 inf + 0 63.464 * * [simplify]: Extracting #1: cost 0 inf + 1 63.464 * [simplify]: Simplified to -1 63.464 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1))) 63.464 * * * * [progress]: [ 44 / 189 ] simplifiying candidate # 63.464 * [simplify]: Simplifying (- (/ 1 2)) 63.464 * * [simplify]: iters left: 4 (4 enodes) 63.467 * * [simplify]: iters left: 3 (19 enodes) 63.470 * * [simplify]: iters left: 2 (23 enodes) 63.474 * * [simplify]: Extracting #0: cost 1 inf + 0 63.474 * * [simplify]: Extracting #1: cost 0 inf + 1 63.474 * [simplify]: Simplified to -1/2 63.474 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 63.474 * * * * [progress]: [ 45 / 189 ] simplifiying candidate # 63.474 * * * * [progress]: [ 46 / 189 ] simplifiying candidate # 63.474 * [simplify]: Simplifying (- (log (sqrt k))) 63.474 * * [simplify]: iters left: 4 (4 enodes) 63.475 * * [simplify]: iters left: 3 (12 enodes) 63.476 * * [simplify]: Extracting #0: cost 1 inf + 0 63.476 * * [simplify]: Extracting #1: cost 3 inf + 0 63.476 * * [simplify]: Extracting #2: cost 5 inf + 0 63.476 * * [simplify]: Extracting #3: cost 7 inf + 0 63.476 * * [simplify]: Extracting #4: cost 6 inf + 1 63.477 * * [simplify]: Extracting #5: cost 0 inf + 607 63.477 * [simplify]: Simplified to (- (log (sqrt k))) 63.477 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 63.477 * * * * [progress]: [ 47 / 189 ] simplifiying candidate # 63.477 * [simplify]: Simplifying (- 0 (log (sqrt k))) 63.477 * * [simplify]: iters left: 4 (5 enodes) 63.478 * * [simplify]: iters left: 3 (17 enodes) 63.481 * * [simplify]: iters left: 2 (21 enodes) 63.484 * * [simplify]: iters left: 1 (23 enodes) 63.487 * * [simplify]: Extracting #0: cost 1 inf + 0 63.487 * * [simplify]: Extracting #1: cost 4 inf + 0 63.487 * * [simplify]: Extracting #2: cost 5 inf + 1 63.487 * * [simplify]: Extracting #3: cost 7 inf + 1 63.487 * * [simplify]: Extracting #4: cost 0 inf + 608 63.487 * [simplify]: Simplified to (- (log (sqrt k))) 63.487 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 63.487 * * * * [progress]: [ 48 / 189 ] simplifiying candidate # 63.488 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 63.488 * * [simplify]: iters left: 4 (6 enodes) 63.490 * * [simplify]: iters left: 3 (22 enodes) 63.493 * * [simplify]: Extracting #0: cost 1 inf + 0 63.493 * * [simplify]: Extracting #1: cost 4 inf + 0 63.493 * * [simplify]: Extracting #2: cost 5 inf + 1 63.493 * * [simplify]: Extracting #3: cost 7 inf + 1 63.493 * * [simplify]: Extracting #4: cost 6 inf + 2 63.493 * * [simplify]: Extracting #5: cost 1 inf + 457 63.493 * * [simplify]: Extracting #6: cost 0 inf + 608 63.494 * [simplify]: Simplified to (- (log (sqrt k))) 63.494 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 63.494 * * * * [progress]: [ 49 / 189 ] simplifiying candidate # 63.494 * [simplify]: Simplifying (log (/ 1 (sqrt k))) 63.494 * * [simplify]: iters left: 4 (5 enodes) 63.496 * * [simplify]: iters left: 3 (21 enodes) 63.502 * * [simplify]: iters left: 2 (25 enodes) 63.511 * * [simplify]: iters left: 1 (26 enodes) 63.519 * * [simplify]: Extracting #0: cost 1 inf + 0 63.519 * * [simplify]: Extracting #1: cost 5 inf + 0 63.519 * * [simplify]: Extracting #2: cost 8 inf + 1 63.519 * * [simplify]: Extracting #3: cost 9 inf + 2 63.519 * * [simplify]: Extracting #4: cost 8 inf + 3 63.519 * * [simplify]: Extracting #5: cost 2 inf + 512 63.519 * * [simplify]: Extracting #6: cost 0 inf + 774 63.520 * * [simplify]: Extracting #7: cost 0 inf + 773 63.520 * [simplify]: Simplified to (- (log (sqrt k))) 63.520 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 63.520 * * * * [progress]: [ 50 / 189 ] simplifiying candidate # 63.521 * [simplify]: Simplifying (exp (/ 1 (sqrt k))) 63.521 * * [simplify]: iters left: 4 (5 enodes) 63.523 * * [simplify]: iters left: 3 (17 enodes) 63.529 * * [simplify]: iters left: 2 (19 enodes) 63.535 * * [simplify]: Extracting #0: cost 1 inf + 0 63.535 * * [simplify]: Extracting #1: cost 3 inf + 0 63.535 * * [simplify]: Extracting #2: cost 6 inf + 0 63.535 * * [simplify]: Extracting #3: cost 7 inf + 1 63.535 * * [simplify]: Extracting #4: cost 0 inf + 552 63.535 * [simplify]: Simplified to (exp (/ 1 (sqrt k))) 63.535 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (log (exp (/ 1 (sqrt k)))))) 63.535 * * * * [progress]: [ 51 / 189 ] simplifiying candidate # 63.536 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 63.536 * * [simplify]: iters left: 6 (8 enodes) 63.540 * * [simplify]: iters left: 5 (26 enodes) 63.548 * * [simplify]: iters left: 4 (43 enodes) 63.561 * * [simplify]: iters left: 3 (57 enodes) 63.575 * * [simplify]: iters left: 2 (65 enodes) 63.583 * * [simplify]: iters left: 1 (67 enodes) 63.591 * * [simplify]: Extracting #0: cost 1 inf + 0 63.591 * * [simplify]: Extracting #1: cost 11 inf + 0 63.591 * * [simplify]: Extracting #2: cost 8 inf + 412 63.591 * * [simplify]: Extracting #3: cost 0 inf + 986 63.591 * [simplify]: Simplified to (/ 1 (* k (sqrt k))) 63.591 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (/ 1 (* k (sqrt k)))))) 63.592 * * * * [progress]: [ 52 / 189 ] simplifiying candidate # 63.592 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 63.592 * * [simplify]: iters left: 6 (6 enodes) 63.593 * * [simplify]: iters left: 5 (20 enodes) 63.596 * * [simplify]: iters left: 4 (22 enodes) 63.600 * * [simplify]: Extracting #0: cost 1 inf + 0 63.600 * * [simplify]: Extracting #1: cost 3 inf + 0 63.600 * * [simplify]: Extracting #2: cost 5 inf + 0 63.600 * * [simplify]: Extracting #3: cost 8 inf + 0 63.600 * * [simplify]: Extracting #4: cost 9 inf + 1 63.600 * * [simplify]: Extracting #5: cost 8 inf + 2 63.600 * * [simplify]: Extracting #6: cost 1 inf + 774 63.600 * * [simplify]: Extracting #7: cost 0 inf + 976 63.600 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 63.600 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))))) 63.601 * [simplify]: Simplifying (cbrt (/ 1 (sqrt k))) 63.601 * * [simplify]: iters left: 4 (5 enodes) 63.602 * * [simplify]: iters left: 3 (17 enodes) 63.606 * * [simplify]: iters left: 2 (19 enodes) 63.611 * * [simplify]: Extracting #0: cost 1 inf + 0 63.611 * * [simplify]: Extracting #1: cost 3 inf + 0 63.611 * * [simplify]: Extracting #2: cost 6 inf + 0 63.611 * * [simplify]: Extracting #3: cost 7 inf + 1 63.612 * * [simplify]: Extracting #4: cost 0 inf + 572 63.612 * [simplify]: Simplified to (cbrt (/ 1 (sqrt k))) 63.612 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))))) 63.612 * * * * [progress]: [ 53 / 189 ] simplifiying candidate # 63.612 * [simplify]: Simplifying (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) 63.612 * * [simplify]: iters left: 6 (6 enodes) 63.616 * * [simplify]: iters left: 5 (27 enodes) 63.623 * * [simplify]: iters left: 4 (40 enodes) 63.634 * * [simplify]: iters left: 3 (61 enodes) 63.646 * * [simplify]: iters left: 2 (92 enodes) 63.674 * * [simplify]: iters left: 1 (138 enodes) 63.720 * * [simplify]: Extracting #0: cost 1 inf + 0 63.720 * * [simplify]: Extracting #1: cost 21 inf + 0 63.721 * * [simplify]: Extracting #2: cost 43 inf + 3 63.722 * * [simplify]: Extracting #3: cost 26 inf + 3391 63.724 * * [simplify]: Extracting #4: cost 3 inf + 11339 63.726 * * [simplify]: Extracting #5: cost 0 inf + 12509 63.728 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 63.728 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (/ (/ 1 k) (sqrt k))))) 63.729 * * * * [progress]: [ 54 / 189 ] simplifiying candidate # 63.729 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 63.729 * * [simplify]: iters left: 4 (5 enodes) 63.732 * * [simplify]: iters left: 3 (17 enodes) 63.737 * * [simplify]: iters left: 2 (19 enodes) 63.741 * * [simplify]: Extracting #0: cost 1 inf + 0 63.741 * * [simplify]: Extracting #1: cost 3 inf + 0 63.741 * * [simplify]: Extracting #2: cost 6 inf + 0 63.741 * * [simplify]: Extracting #3: cost 7 inf + 1 63.741 * * [simplify]: Extracting #4: cost 0 inf + 492 63.742 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 63.742 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))))) 63.742 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 63.742 * * [simplify]: iters left: 4 (5 enodes) 63.743 * * [simplify]: iters left: 3 (17 enodes) 63.748 * * [simplify]: iters left: 2 (19 enodes) 63.750 * * [simplify]: Extracting #0: cost 1 inf + 0 63.750 * * [simplify]: Extracting #1: cost 3 inf + 0 63.751 * * [simplify]: Extracting #2: cost 6 inf + 0 63.751 * * [simplify]: Extracting #3: cost 7 inf + 1 63.751 * * [simplify]: Extracting #4: cost 0 inf + 492 63.751 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 63.751 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))))) 63.751 * * * * [progress]: [ 55 / 189 ] simplifiying candidate # 63.751 * [simplify]: Simplifying (- 1) 63.751 * * [simplify]: iters left: 2 (2 enodes) 63.752 * * [simplify]: iters left: 1 (9 enodes) 63.754 * * [simplify]: Extracting #0: cost 1 inf + 0 63.754 * * [simplify]: Extracting #1: cost 0 inf + 1 63.754 * [simplify]: Simplified to -1 63.754 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ -1 (- (sqrt k))))) 63.754 * [simplify]: Simplifying (- (sqrt k)) 63.754 * * [simplify]: iters left: 3 (3 enodes) 63.755 * * [simplify]: iters left: 2 (9 enodes) 63.756 * * [simplify]: Extracting #0: cost 1 inf + 0 63.756 * * [simplify]: Extracting #1: cost 3 inf + 0 63.756 * * [simplify]: Extracting #2: cost 5 inf + 0 63.756 * * [simplify]: Extracting #3: cost 4 inf + 1 63.756 * * [simplify]: Extracting #4: cost 0 inf + 245 63.756 * [simplify]: Simplified to (- (sqrt k)) 63.756 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ -1 (- (sqrt k))))) 63.756 * * * * [progress]: [ 56 / 189 ] simplifiying candidate # 63.757 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 63.757 * * [simplify]: iters left: 6 (8 enodes) 63.759 * * [simplify]: iters left: 5 (32 enodes) 63.765 * * [simplify]: iters left: 4 (48 enodes) 63.777 * * [simplify]: iters left: 3 (77 enodes) 63.796 * * [simplify]: iters left: 2 (80 enodes) 63.804 * * [simplify]: Extracting #0: cost 1 inf + 0 63.805 * * [simplify]: Extracting #1: cost 6 inf + 0 63.805 * * [simplify]: Extracting #2: cost 9 inf + 1 63.805 * * [simplify]: Extracting #3: cost 11 inf + 1 63.805 * * [simplify]: Extracting #4: cost 2 inf + 1012 63.805 * * [simplify]: Extracting #5: cost 0 inf + 1376 63.806 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 63.806 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))))) 63.806 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 63.806 * * [simplify]: iters left: 4 (6 enodes) 63.808 * * [simplify]: iters left: 3 (20 enodes) 63.811 * * [simplify]: iters left: 2 (22 enodes) 63.814 * * [simplify]: Extracting #0: cost 1 inf + 0 63.814 * * [simplify]: Extracting #1: cost 4 inf + 0 63.814 * * [simplify]: Extracting #2: cost 5 inf + 1 63.814 * * [simplify]: Extracting #3: cost 7 inf + 1 63.814 * * [simplify]: Extracting #4: cost 1 inf + 488 63.814 * * [simplify]: Extracting #5: cost 0 inf + 650 63.814 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 63.814 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 63.814 * * * * [progress]: [ 57 / 189 ] simplifiying candidate # 63.814 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 63.815 * * [simplify]: iters left: 6 (8 enodes) 63.817 * * [simplify]: iters left: 5 (29 enodes) 63.822 * * [simplify]: iters left: 4 (31 enodes) 63.826 * * [simplify]: iters left: 3 (32 enodes) 63.830 * * [simplify]: iters left: 2 (33 enodes) 63.835 * * [simplify]: Extracting #0: cost 1 inf + 0 63.835 * * [simplify]: Extracting #1: cost 4 inf + 0 63.835 * * [simplify]: Extracting #2: cost 6 inf + 1 63.835 * * [simplify]: Extracting #3: cost 9 inf + 1 63.835 * * [simplify]: Extracting #4: cost 8 inf + 2 63.835 * * [simplify]: Extracting #5: cost 2 inf + 729 63.835 * * [simplify]: Extracting #6: cost 0 inf + 972 63.835 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 63.835 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))))) 63.836 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 63.836 * * [simplify]: iters left: 4 (6 enodes) 63.838 * * [simplify]: iters left: 3 (20 enodes) 63.843 * * [simplify]: iters left: 2 (22 enodes) 63.846 * * [simplify]: Extracting #0: cost 1 inf + 0 63.846 * * [simplify]: Extracting #1: cost 4 inf + 0 63.846 * * [simplify]: Extracting #2: cost 5 inf + 1 63.846 * * [simplify]: Extracting #3: cost 7 inf + 1 63.846 * * [simplify]: Extracting #4: cost 1 inf + 568 63.846 * * [simplify]: Extracting #5: cost 0 inf + 730 63.846 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 63.846 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 63.847 * * * * [progress]: [ 58 / 189 ] simplifiying candidate # 63.847 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 63.847 * * [simplify]: iters left: 5 (7 enodes) 63.850 * * [simplify]: iters left: 4 (25 enodes) 63.854 * * [simplify]: iters left: 3 (27 enodes) 63.857 * * [simplify]: iters left: 2 (28 enodes) 63.861 * * [simplify]: iters left: 1 (29 enodes) 63.865 * * [simplify]: Extracting #0: cost 1 inf + 0 63.865 * * [simplify]: Extracting #1: cost 4 inf + 0 63.865 * * [simplify]: Extracting #2: cost 5 inf + 1 63.865 * * [simplify]: Extracting #3: cost 7 inf + 1 63.865 * * [simplify]: Extracting #4: cost 6 inf + 2 63.865 * * [simplify]: Extracting #5: cost 2 inf + 368 63.865 * * [simplify]: Extracting #6: cost 0 inf + 490 63.865 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 63.865 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 63.866 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 63.866 * * [simplify]: iters left: 4 (6 enodes) 63.868 * * [simplify]: iters left: 3 (20 enodes) 63.871 * * [simplify]: iters left: 2 (22 enodes) 63.874 * * [simplify]: Extracting #0: cost 1 inf + 0 63.874 * * [simplify]: Extracting #1: cost 4 inf + 0 63.874 * * [simplify]: Extracting #2: cost 5 inf + 1 63.874 * * [simplify]: Extracting #3: cost 7 inf + 1 63.874 * * [simplify]: Extracting #4: cost 1 inf + 368 63.874 * * [simplify]: Extracting #5: cost 0 inf + 490 63.874 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 63.874 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 63.874 * * * * [progress]: [ 59 / 189 ] simplifiying candidate # 63.874 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 63.874 * * [simplify]: iters left: 5 (5 enodes) 63.880 * * [simplify]: iters left: 4 (19 enodes) 63.885 * * [simplify]: iters left: 3 (21 enodes) 63.889 * * [simplify]: Extracting #0: cost 1 inf + 0 63.889 * * [simplify]: Extracting #1: cost 0 inf + 1 63.889 * [simplify]: Simplified to 1 63.889 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 63.889 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 63.889 * * [simplify]: iters left: 3 (5 enodes) 63.893 * * [simplify]: iters left: 2 (17 enodes) 63.898 * * [simplify]: iters left: 1 (19 enodes) 63.904 * * [simplify]: Extracting #0: cost 1 inf + 0 63.904 * * [simplify]: Extracting #1: cost 4 inf + 0 63.904 * * [simplify]: Extracting #2: cost 5 inf + 1 63.905 * * [simplify]: Extracting #3: cost 0 inf + 248 63.905 * [simplify]: Simplified to (/ 1 (sqrt k)) 63.905 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 63.905 * * * * [progress]: [ 60 / 189 ] simplifiying candidate # 63.905 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 63.905 * * [simplify]: iters left: 5 (7 enodes) 63.909 * * [simplify]: iters left: 4 (25 enodes) 63.913 * * [simplify]: iters left: 3 (27 enodes) 63.917 * * [simplify]: iters left: 2 (28 enodes) 63.921 * * [simplify]: iters left: 1 (29 enodes) 63.925 * * [simplify]: Extracting #0: cost 1 inf + 0 63.925 * * [simplify]: Extracting #1: cost 4 inf + 0 63.925 * * [simplify]: Extracting #2: cost 5 inf + 1 63.925 * * [simplify]: Extracting #3: cost 7 inf + 1 63.925 * * [simplify]: Extracting #4: cost 6 inf + 2 63.925 * * [simplify]: Extracting #5: cost 2 inf + 368 63.925 * * [simplify]: Extracting #6: cost 0 inf + 490 63.925 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 63.925 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 63.925 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 63.925 * * [simplify]: iters left: 4 (6 enodes) 63.927 * * [simplify]: iters left: 3 (20 enodes) 63.930 * * [simplify]: iters left: 2 (22 enodes) 63.933 * * [simplify]: Extracting #0: cost 1 inf + 0 63.933 * * [simplify]: Extracting #1: cost 4 inf + 0 63.933 * * [simplify]: Extracting #2: cost 5 inf + 1 63.933 * * [simplify]: Extracting #3: cost 7 inf + 1 63.934 * * [simplify]: Extracting #4: cost 1 inf + 368 63.934 * * [simplify]: Extracting #5: cost 0 inf + 490 63.934 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 63.934 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 63.934 * * * * [progress]: [ 61 / 189 ] simplifiying candidate # 63.934 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 63.934 * * [simplify]: iters left: 5 (4 enodes) 63.941 * * [simplify]: iters left: 4 (14 enodes) 63.946 * * [simplify]: iters left: 3 (16 enodes) 63.950 * * [simplify]: Extracting #0: cost 1 inf + 0 63.950 * * [simplify]: Extracting #1: cost 0 inf + 1 63.950 * [simplify]: Simplified to 1 63.950 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 63.950 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 63.950 * * [simplify]: iters left: 3 (5 enodes) 63.955 * * [simplify]: iters left: 2 (17 enodes) 63.960 * * [simplify]: iters left: 1 (19 enodes) 63.965 * * [simplify]: Extracting #0: cost 1 inf + 0 63.965 * * [simplify]: Extracting #1: cost 4 inf + 0 63.965 * * [simplify]: Extracting #2: cost 5 inf + 1 63.965 * * [simplify]: Extracting #3: cost 0 inf + 248 63.965 * [simplify]: Simplified to (/ 1 (sqrt k)) 63.966 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 63.966 * * * * [progress]: [ 62 / 189 ] simplifiying candidate # 63.966 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 63.966 * * [simplify]: iters left: 6 (7 enodes) 63.971 * * [simplify]: iters left: 5 (25 enodes) 63.979 * * [simplify]: iters left: 4 (32 enodes) 63.988 * * [simplify]: iters left: 3 (34 enodes) 63.996 * * [simplify]: Extracting #0: cost 1 inf + 0 63.997 * * [simplify]: Extracting #1: cost 7 inf + 0 63.997 * * [simplify]: Extracting #2: cost 11 inf + 1 63.997 * * [simplify]: Extracting #3: cost 13 inf + 1 63.997 * * [simplify]: Extracting #4: cost 10 inf + 84 63.997 * * [simplify]: Extracting #5: cost 4 inf + 1014 63.998 * * [simplify]: Extracting #6: cost 1 inf + 1498 63.998 * * [simplify]: Extracting #7: cost 0 inf + 1700 63.998 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 63.998 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))))) 63.999 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 63.999 * * [simplify]: iters left: 4 (6 enodes) 64.003 * * [simplify]: iters left: 3 (20 enodes) 64.009 * * [simplify]: iters left: 2 (22 enodes) 64.015 * * [simplify]: Extracting #0: cost 1 inf + 0 64.015 * * [simplify]: Extracting #1: cost 4 inf + 0 64.015 * * [simplify]: Extracting #2: cost 5 inf + 1 64.015 * * [simplify]: Extracting #3: cost 7 inf + 1 64.015 * * [simplify]: Extracting #4: cost 1 inf + 488 64.015 * * [simplify]: Extracting #5: cost 0 inf + 650 64.015 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 64.016 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 64.016 * * * * [progress]: [ 63 / 189 ] simplifiying candidate # 64.016 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 64.016 * * [simplify]: iters left: 6 (7 enodes) 64.020 * * [simplify]: iters left: 5 (24 enodes) 64.027 * * [simplify]: iters left: 4 (26 enodes) 64.035 * * [simplify]: Extracting #0: cost 1 inf + 0 64.035 * * [simplify]: Extracting #1: cost 4 inf + 0 64.035 * * [simplify]: Extracting #2: cost 6 inf + 1 64.035 * * [simplify]: Extracting #3: cost 9 inf + 1 64.035 * * [simplify]: Extracting #4: cost 8 inf + 2 64.035 * * [simplify]: Extracting #5: cost 2 inf + 730 64.036 * * [simplify]: Extracting #6: cost 0 inf + 972 64.036 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 64.036 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))))) 64.036 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 64.036 * * [simplify]: iters left: 4 (6 enodes) 64.040 * * [simplify]: iters left: 3 (20 enodes) 64.046 * * [simplify]: iters left: 2 (22 enodes) 64.052 * * [simplify]: Extracting #0: cost 1 inf + 0 64.052 * * [simplify]: Extracting #1: cost 4 inf + 0 64.052 * * [simplify]: Extracting #2: cost 5 inf + 1 64.052 * * [simplify]: Extracting #3: cost 7 inf + 1 64.053 * * [simplify]: Extracting #4: cost 1 inf + 568 64.053 * * [simplify]: Extracting #5: cost 0 inf + 730 64.053 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 64.053 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 64.053 * * * * [progress]: [ 64 / 189 ] simplifiying candidate # 64.054 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 64.054 * * [simplify]: iters left: 4 (6 enodes) 64.057 * * [simplify]: iters left: 3 (20 enodes) 64.063 * * [simplify]: iters left: 2 (22 enodes) 64.069 * * [simplify]: Extracting #0: cost 1 inf + 0 64.069 * * [simplify]: Extracting #1: cost 4 inf + 0 64.069 * * [simplify]: Extracting #2: cost 5 inf + 1 64.069 * * [simplify]: Extracting #3: cost 7 inf + 1 64.070 * * [simplify]: Extracting #4: cost 1 inf + 368 64.070 * * [simplify]: Extracting #5: cost 0 inf + 490 64.070 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 64.070 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 64.070 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 64.071 * * [simplify]: iters left: 4 (6 enodes) 64.074 * * [simplify]: iters left: 3 (20 enodes) 64.080 * * [simplify]: iters left: 2 (22 enodes) 64.083 * * [simplify]: Extracting #0: cost 1 inf + 0 64.083 * * [simplify]: Extracting #1: cost 4 inf + 0 64.083 * * [simplify]: Extracting #2: cost 5 inf + 1 64.083 * * [simplify]: Extracting #3: cost 7 inf + 1 64.083 * * [simplify]: Extracting #4: cost 1 inf + 368 64.083 * * [simplify]: Extracting #5: cost 0 inf + 490 64.084 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 64.084 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 64.084 * * * * [progress]: [ 65 / 189 ] simplifiying candidate # 64.084 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 64.084 * * [simplify]: iters left: 3 (3 enodes) 64.086 * * [simplify]: iters left: 2 (9 enodes) 64.087 * * [simplify]: iters left: 1 (11 enodes) 64.089 * * [simplify]: Extracting #0: cost 1 inf + 0 64.089 * * [simplify]: Extracting #1: cost 0 inf + 1 64.089 * [simplify]: Simplified to 1 64.089 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 64.089 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 64.089 * * [simplify]: iters left: 3 (5 enodes) 64.091 * * [simplify]: iters left: 2 (17 enodes) 64.096 * * [simplify]: iters left: 1 (19 enodes) 64.098 * * [simplify]: Extracting #0: cost 1 inf + 0 64.099 * * [simplify]: Extracting #1: cost 4 inf + 0 64.099 * * [simplify]: Extracting #2: cost 5 inf + 1 64.099 * * [simplify]: Extracting #3: cost 0 inf + 248 64.099 * [simplify]: Simplified to (/ 1 (sqrt k)) 64.099 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 64.099 * * * * [progress]: [ 66 / 189 ] simplifiying candidate # 64.099 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 64.099 * * [simplify]: iters left: 4 (6 enodes) 64.101 * * [simplify]: iters left: 3 (20 enodes) 64.104 * * [simplify]: iters left: 2 (22 enodes) 64.108 * * [simplify]: Extracting #0: cost 1 inf + 0 64.108 * * [simplify]: Extracting #1: cost 4 inf + 0 64.108 * * [simplify]: Extracting #2: cost 5 inf + 1 64.108 * * [simplify]: Extracting #3: cost 7 inf + 1 64.108 * * [simplify]: Extracting #4: cost 1 inf + 368 64.108 * * [simplify]: Extracting #5: cost 0 inf + 490 64.108 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 64.108 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 64.109 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 64.109 * * [simplify]: iters left: 4 (6 enodes) 64.112 * * [simplify]: iters left: 3 (20 enodes) 64.119 * * [simplify]: iters left: 2 (22 enodes) 64.125 * * [simplify]: Extracting #0: cost 1 inf + 0 64.125 * * [simplify]: Extracting #1: cost 4 inf + 0 64.125 * * [simplify]: Extracting #2: cost 5 inf + 1 64.125 * * [simplify]: Extracting #3: cost 7 inf + 1 64.125 * * [simplify]: Extracting #4: cost 1 inf + 368 64.125 * * [simplify]: Extracting #5: cost 0 inf + 490 64.126 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 64.126 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 64.126 * * * * [progress]: [ 67 / 189 ] simplifiying candidate # 64.126 * [simplify]: Simplifying (/ (sqrt 1) 1) 64.126 * * [simplify]: iters left: 3 (3 enodes) 64.130 * * [simplify]: iters left: 2 (9 enodes) 64.132 * * [simplify]: iters left: 1 (11 enodes) 64.135 * * [simplify]: Extracting #0: cost 1 inf + 0 64.135 * * [simplify]: Extracting #1: cost 0 inf + 1 64.135 * [simplify]: Simplified to 1 64.135 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 64.135 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 64.135 * * [simplify]: iters left: 3 (5 enodes) 64.138 * * [simplify]: iters left: 2 (17 enodes) 64.140 * * [simplify]: iters left: 1 (19 enodes) 64.143 * * [simplify]: Extracting #0: cost 1 inf + 0 64.143 * * [simplify]: Extracting #1: cost 4 inf + 0 64.143 * * [simplify]: Extracting #2: cost 5 inf + 1 64.143 * * [simplify]: Extracting #3: cost 0 inf + 248 64.143 * [simplify]: Simplified to (/ 1 (sqrt k)) 64.143 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 64.143 * * * * [progress]: [ 68 / 189 ] simplifiying candidate # 64.144 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 64.144 * * [simplify]: iters left: 6 (6 enodes) 64.145 * * [simplify]: iters left: 5 (22 enodes) 64.149 * * [simplify]: iters left: 4 (26 enodes) 64.152 * * [simplify]: Extracting #0: cost 1 inf + 0 64.152 * * [simplify]: Extracting #1: cost 6 inf + 0 64.152 * * [simplify]: Extracting #2: cost 9 inf + 1 64.152 * * [simplify]: Extracting #3: cost 11 inf + 1 64.153 * * [simplify]: Extracting #4: cost 8 inf + 84 64.153 * * [simplify]: Extracting #5: cost 2 inf + 1013 64.153 * * [simplify]: Extracting #6: cost 0 inf + 1376 64.153 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 64.153 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 64.153 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 64.153 * * [simplify]: iters left: 4 (5 enodes) 64.155 * * [simplify]: iters left: 3 (17 enodes) 64.157 * * [simplify]: iters left: 2 (19 enodes) 64.160 * * [simplify]: Extracting #0: cost 1 inf + 0 64.160 * * [simplify]: Extracting #1: cost 4 inf + 0 64.160 * * [simplify]: Extracting #2: cost 5 inf + 1 64.160 * * [simplify]: Extracting #3: cost 7 inf + 1 64.160 * * [simplify]: Extracting #4: cost 0 inf + 650 64.160 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 64.160 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 64.161 * * * * [progress]: [ 69 / 189 ] simplifiying candidate # 64.161 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 64.161 * * [simplify]: iters left: 6 (6 enodes) 64.162 * * [simplify]: iters left: 5 (21 enodes) 64.166 * * [simplify]: iters left: 4 (23 enodes) 64.169 * * [simplify]: Extracting #0: cost 1 inf + 0 64.169 * * [simplify]: Extracting #1: cost 4 inf + 0 64.169 * * [simplify]: Extracting #2: cost 6 inf + 1 64.169 * * [simplify]: Extracting #3: cost 9 inf + 1 64.169 * * [simplify]: Extracting #4: cost 8 inf + 2 64.169 * * [simplify]: Extracting #5: cost 1 inf + 810 64.169 * * [simplify]: Extracting #6: cost 0 inf + 972 64.170 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 64.170 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 64.170 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 64.170 * * [simplify]: iters left: 4 (5 enodes) 64.171 * * [simplify]: iters left: 3 (17 enodes) 64.174 * * [simplify]: iters left: 2 (19 enodes) 64.177 * * [simplify]: Extracting #0: cost 1 inf + 0 64.177 * * [simplify]: Extracting #1: cost 4 inf + 0 64.177 * * [simplify]: Extracting #2: cost 5 inf + 1 64.177 * * [simplify]: Extracting #3: cost 7 inf + 1 64.177 * * [simplify]: Extracting #4: cost 0 inf + 730 64.177 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 64.177 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 64.177 * * * * [progress]: [ 70 / 189 ] simplifiying candidate # 64.177 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 64.177 * * [simplify]: iters left: 4 (5 enodes) 64.178 * * [simplify]: iters left: 3 (17 enodes) 64.181 * * [simplify]: iters left: 2 (19 enodes) 64.184 * * [simplify]: Extracting #0: cost 1 inf + 0 64.184 * * [simplify]: Extracting #1: cost 4 inf + 0 64.184 * * [simplify]: Extracting #2: cost 5 inf + 1 64.184 * * [simplify]: Extracting #3: cost 7 inf + 1 64.184 * * [simplify]: Extracting #4: cost 0 inf + 490 64.184 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 64.184 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 64.184 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 64.185 * * [simplify]: iters left: 4 (5 enodes) 64.186 * * [simplify]: iters left: 3 (17 enodes) 64.189 * * [simplify]: iters left: 2 (19 enodes) 64.193 * * [simplify]: Extracting #0: cost 1 inf + 0 64.193 * * [simplify]: Extracting #1: cost 4 inf + 0 64.194 * * [simplify]: Extracting #2: cost 5 inf + 1 64.194 * * [simplify]: Extracting #3: cost 7 inf + 1 64.194 * * [simplify]: Extracting #4: cost 0 inf + 490 64.194 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 64.194 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 64.194 * * * * [progress]: [ 71 / 189 ] simplifiying candidate # 64.194 * [simplify]: Simplifying (/ 1 (sqrt 1)) 64.194 * * [simplify]: iters left: 3 (3 enodes) 64.198 * * [simplify]: iters left: 2 (11 enodes) 64.200 * * [simplify]: iters left: 1 (13 enodes) 64.201 * * [simplify]: Extracting #0: cost 1 inf + 0 64.202 * * [simplify]: Extracting #1: cost 0 inf + 1 64.202 * [simplify]: Simplified to 1 64.202 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 64.202 * [simplify]: Simplifying (/ 1 (sqrt k)) 64.202 * * [simplify]: iters left: 3 (4 enodes) 64.203 * * [simplify]: iters left: 2 (14 enodes) 64.205 * * [simplify]: iters left: 1 (16 enodes) 64.208 * * [simplify]: Extracting #0: cost 1 inf + 0 64.208 * * [simplify]: Extracting #1: cost 4 inf + 0 64.208 * * [simplify]: Extracting #2: cost 5 inf + 1 64.208 * * [simplify]: Extracting #3: cost 3 inf + 43 64.208 * * [simplify]: Extracting #4: cost 1 inf + 166 64.208 * * [simplify]: Extracting #5: cost 0 inf + 248 64.208 * [simplify]: Simplified to (/ 1 (sqrt k)) 64.208 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 64.208 * * * * [progress]: [ 72 / 189 ] simplifiying candidate # 64.208 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 64.208 * * [simplify]: iters left: 4 (5 enodes) 64.210 * * [simplify]: iters left: 3 (17 enodes) 64.212 * * [simplify]: iters left: 2 (19 enodes) 64.215 * * [simplify]: Extracting #0: cost 1 inf + 0 64.215 * * [simplify]: Extracting #1: cost 4 inf + 0 64.216 * * [simplify]: Extracting #2: cost 5 inf + 1 64.216 * * [simplify]: Extracting #3: cost 7 inf + 1 64.216 * * [simplify]: Extracting #4: cost 0 inf + 490 64.216 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 64.216 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 64.216 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 64.216 * * [simplify]: iters left: 4 (5 enodes) 64.217 * * [simplify]: iters left: 3 (17 enodes) 64.220 * * [simplify]: iters left: 2 (19 enodes) 64.223 * * [simplify]: Extracting #0: cost 1 inf + 0 64.223 * * [simplify]: Extracting #1: cost 4 inf + 0 64.223 * * [simplify]: Extracting #2: cost 5 inf + 1 64.223 * * [simplify]: Extracting #3: cost 7 inf + 1 64.223 * * [simplify]: Extracting #4: cost 0 inf + 490 64.223 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 64.223 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 64.223 * * * * [progress]: [ 73 / 189 ] simplifiying candidate # 64.224 * [simplify]: Simplifying (/ 1 1) 64.224 * * [simplify]: iters left: 2 (2 enodes) 64.224 * * [simplify]: iters left: 1 (6 enodes) 64.226 * * [simplify]: Extracting #0: cost 1 inf + 0 64.226 * * [simplify]: Extracting #1: cost 0 inf + 1 64.226 * [simplify]: Simplified to 1 64.226 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 64.226 * [simplify]: Simplifying (/ 1 (sqrt k)) 64.226 * * [simplify]: iters left: 3 (4 enodes) 64.227 * * [simplify]: iters left: 2 (14 enodes) 64.231 * * [simplify]: iters left: 1 (16 enodes) 64.236 * * [simplify]: Extracting #0: cost 1 inf + 0 64.236 * * [simplify]: Extracting #1: cost 4 inf + 0 64.237 * * [simplify]: Extracting #2: cost 5 inf + 1 64.237 * * [simplify]: Extracting #3: cost 3 inf + 43 64.237 * * [simplify]: Extracting #4: cost 1 inf + 166 64.237 * * [simplify]: Extracting #5: cost 0 inf + 248 64.237 * [simplify]: Simplified to (/ 1 (sqrt k)) 64.237 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 64.237 * * * * [progress]: [ 74 / 189 ] simplifiying candidate # 64.237 * * * * [progress]: [ 75 / 189 ] simplifiying candidate # 64.238 * [simplify]: Simplifying (/ 1 (sqrt k)) 64.238 * * [simplify]: iters left: 3 (4 enodes) 64.240 * * [simplify]: iters left: 2 (14 enodes) 64.244 * * [simplify]: iters left: 1 (16 enodes) 64.248 * * [simplify]: Extracting #0: cost 1 inf + 0 64.248 * * [simplify]: Extracting #1: cost 4 inf + 0 64.248 * * [simplify]: Extracting #2: cost 5 inf + 1 64.248 * * [simplify]: Extracting #3: cost 3 inf + 43 64.248 * * [simplify]: Extracting #4: cost 1 inf + 166 64.249 * * [simplify]: Extracting #5: cost 0 inf + 248 64.249 * [simplify]: Simplified to (/ 1 (sqrt k)) 64.249 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 64.249 * * * * [progress]: [ 76 / 189 ] simplifiying candidate # 64.249 * [simplify]: Simplifying (/ (sqrt k) 1) 64.249 * * [simplify]: iters left: 3 (4 enodes) 64.250 * * [simplify]: iters left: 2 (12 enodes) 64.252 * * [simplify]: iters left: 1 (14 enodes) 64.255 * * [simplify]: Extracting #0: cost 1 inf + 0 64.255 * * [simplify]: Extracting #1: cost 4 inf + 0 64.255 * * [simplify]: Extracting #2: cost 0 inf + 84 64.255 * [simplify]: Simplified to (sqrt k) 64.255 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 64.255 * * * * [progress]: [ 77 / 189 ] simplifiying candidate # 64.255 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 64.255 * * [simplify]: iters left: 6 (6 enodes) 64.257 * * [simplify]: iters left: 5 (22 enodes) 64.260 * * [simplify]: iters left: 4 (26 enodes) 64.264 * * [simplify]: Extracting #0: cost 1 inf + 0 64.264 * * [simplify]: Extracting #1: cost 6 inf + 0 64.264 * * [simplify]: Extracting #2: cost 9 inf + 1 64.264 * * [simplify]: Extracting #3: cost 11 inf + 1 64.264 * * [simplify]: Extracting #4: cost 8 inf + 84 64.264 * * [simplify]: Extracting #5: cost 2 inf + 1013 64.264 * * [simplify]: Extracting #6: cost 0 inf + 1376 64.265 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 64.265 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 64.265 * * * * [progress]: [ 78 / 189 ] simplifiying candidate # 64.265 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 64.265 * * [simplify]: iters left: 6 (6 enodes) 64.267 * * [simplify]: iters left: 5 (21 enodes) 64.270 * * [simplify]: iters left: 4 (23 enodes) 64.273 * * [simplify]: Extracting #0: cost 1 inf + 0 64.273 * * [simplify]: Extracting #1: cost 4 inf + 0 64.273 * * [simplify]: Extracting #2: cost 6 inf + 1 64.273 * * [simplify]: Extracting #3: cost 9 inf + 1 64.273 * * [simplify]: Extracting #4: cost 8 inf + 2 64.273 * * [simplify]: Extracting #5: cost 1 inf + 810 64.273 * * [simplify]: Extracting #6: cost 0 inf + 972 64.273 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 64.273 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))))) 64.273 * * * * [progress]: [ 79 / 189 ] simplifiying candidate # 64.274 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 64.274 * * [simplify]: iters left: 4 (5 enodes) 64.275 * * [simplify]: iters left: 3 (17 enodes) 64.280 * * [simplify]: iters left: 2 (19 enodes) 64.285 * * [simplify]: Extracting #0: cost 1 inf + 0 64.285 * * [simplify]: Extracting #1: cost 4 inf + 0 64.285 * * [simplify]: Extracting #2: cost 5 inf + 1 64.285 * * [simplify]: Extracting #3: cost 7 inf + 1 64.286 * * [simplify]: Extracting #4: cost 0 inf + 490 64.286 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 64.286 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 64.286 * * * * [progress]: [ 80 / 189 ] simplifiying candidate # 64.286 * [simplify]: Simplifying (/ 1 (sqrt 1)) 64.286 * * [simplify]: iters left: 3 (3 enodes) 64.292 * * [simplify]: iters left: 2 (11 enodes) 64.295 * * [simplify]: iters left: 1 (13 enodes) 64.300 * * [simplify]: Extracting #0: cost 1 inf + 0 64.300 * * [simplify]: Extracting #1: cost 0 inf + 1 64.300 * [simplify]: Simplified to 1 64.300 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 64.300 * * * * [progress]: [ 81 / 189 ] simplifiying candidate # 64.301 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 64.301 * * [simplify]: iters left: 4 (5 enodes) 64.303 * * [simplify]: iters left: 3 (17 enodes) 64.309 * * [simplify]: iters left: 2 (19 enodes) 64.314 * * [simplify]: Extracting #0: cost 1 inf + 0 64.314 * * [simplify]: Extracting #1: cost 4 inf + 0 64.315 * * [simplify]: Extracting #2: cost 5 inf + 1 64.315 * * [simplify]: Extracting #3: cost 7 inf + 1 64.315 * * [simplify]: Extracting #4: cost 0 inf + 490 64.315 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 64.315 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 64.315 * * * * [progress]: [ 82 / 189 ] simplifiying candidate # 64.316 * [simplify]: Simplifying (/ 1 1) 64.316 * * [simplify]: iters left: 2 (2 enodes) 64.317 * * [simplify]: iters left: 1 (6 enodes) 64.319 * * [simplify]: Extracting #0: cost 1 inf + 0 64.319 * * [simplify]: Extracting #1: cost 0 inf + 1 64.319 * [simplify]: Simplified to 1 64.319 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 64.319 * * * * [progress]: [ 83 / 189 ] simplifiying candidate # 64.320 * [simplify]: Simplifying (/ (sqrt k) (cbrt 1)) 64.320 * * [simplify]: iters left: 3 (5 enodes) 64.324 * * [simplify]: iters left: 2 (17 enodes) 64.329 * * [simplify]: iters left: 1 (19 enodes) 64.331 * * [simplify]: Extracting #0: cost 1 inf + 0 64.331 * * [simplify]: Extracting #1: cost 4 inf + 0 64.331 * * [simplify]: Extracting #2: cost 2 inf + 2 64.331 * * [simplify]: Extracting #3: cost 0 inf + 84 64.331 * [simplify]: Simplified to (sqrt k) 64.332 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt k)))) 64.332 * * * * [progress]: [ 84 / 189 ] simplifiying candidate # 64.332 * [simplify]: Simplifying (/ (sqrt k) (sqrt 1)) 64.332 * * [simplify]: iters left: 3 (5 enodes) 64.334 * * [simplify]: iters left: 2 (17 enodes) 64.337 * * [simplify]: iters left: 1 (19 enodes) 64.339 * * [simplify]: Extracting #0: cost 1 inf + 0 64.339 * * [simplify]: Extracting #1: cost 4 inf + 0 64.339 * * [simplify]: Extracting #2: cost 2 inf + 2 64.340 * * [simplify]: Extracting #3: cost 0 inf + 84 64.340 * [simplify]: Simplified to (sqrt k) 64.340 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt k)))) 64.340 * * * * [progress]: [ 85 / 189 ] simplifiying candidate # 64.340 * [simplify]: Simplifying (/ (sqrt k) 1) 64.340 * * [simplify]: iters left: 3 (4 enodes) 64.341 * * [simplify]: iters left: 2 (12 enodes) 64.343 * * [simplify]: iters left: 1 (14 enodes) 64.345 * * [simplify]: Extracting #0: cost 1 inf + 0 64.346 * * [simplify]: Extracting #1: cost 4 inf + 0 64.346 * * [simplify]: Extracting #2: cost 0 inf + 84 64.346 * [simplify]: Simplified to (sqrt k) 64.346 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 64.346 * * * * [progress]: [ 86 / 189 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k))))))> 64.346 * [simplify]: Simplifying (real->posit16 (/ 1 (sqrt k))) 64.346 * * [simplify]: iters left: 4 (5 enodes) 64.347 * * [simplify]: iters left: 3 (14 enodes) 64.350 * * [simplify]: iters left: 2 (16 enodes) 64.352 * * [simplify]: Extracting #0: cost 1 inf + 0 64.352 * * [simplify]: Extracting #1: cost 2 inf + 0 64.352 * * [simplify]: Extracting #2: cost 4 inf + 0 64.352 * * [simplify]: Extracting #3: cost 5 inf + 1 64.352 * * [simplify]: Extracting #4: cost 0 inf + 248 64.352 * [simplify]: Simplified to (real->posit16 (/ 1 (sqrt k))) 64.352 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (posit16->real (real->posit16 (/ 1 (sqrt k)))))) 64.352 * * * * [progress]: [ 87 / 189 ] simplifiying candidate # 64.353 * [simplify]: Simplifying (* n (* 2 PI)) 64.353 * * [simplify]: iters left: 4 (5 enodes) 64.354 * * [simplify]: iters left: 3 (19 enodes) 64.357 * * [simplify]: iters left: 2 (27 enodes) 64.362 * * [simplify]: iters left: 1 (32 enodes) 64.370 * * [simplify]: Extracting #0: cost 1 inf + 0 64.370 * * [simplify]: Extracting #1: cost 8 inf + 0 64.371 * * [simplify]: Extracting #2: cost 7 inf + 45 64.371 * * [simplify]: Extracting #3: cost 0 inf + 421 64.371 * [simplify]: Simplified to (* (* PI 2) n) 64.371 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 64.371 * * * * [progress]: [ 88 / 189 ] simplifiying candidate # 64.372 * [simplify]: Simplifying (* n (* 2 PI)) 64.372 * * [simplify]: iters left: 4 (5 enodes) 64.374 * * [simplify]: iters left: 3 (19 enodes) 64.380 * * [simplify]: iters left: 2 (27 enodes) 64.388 * * [simplify]: iters left: 1 (32 enodes) 64.396 * * [simplify]: Extracting #0: cost 1 inf + 0 64.396 * * [simplify]: Extracting #1: cost 8 inf + 0 64.396 * * [simplify]: Extracting #2: cost 7 inf + 45 64.397 * * [simplify]: Extracting #3: cost 0 inf + 421 64.397 * [simplify]: Simplified to (* (* PI 2) n) 64.397 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 64.397 * * * * [progress]: [ 89 / 189 ] simplifiying candidate # 64.397 * * * * [progress]: [ 90 / 189 ] simplifiying candidate # 64.398 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 64.398 * * [simplify]: iters left: 5 (8 enodes) 64.402 * * [simplify]: iters left: 4 (28 enodes) 64.410 * * [simplify]: iters left: 3 (36 enodes) 64.422 * * [simplify]: iters left: 2 (42 enodes) 64.436 * * [simplify]: Extracting #0: cost 1 inf + 0 64.436 * * [simplify]: Extracting #1: cost 8 inf + 0 64.436 * * [simplify]: Extracting #2: cost 17 inf + 0 64.436 * * [simplify]: Extracting #3: cost 12 inf + 145 64.436 * * [simplify]: Extracting #4: cost 5 inf + 1197 64.437 * * [simplify]: Extracting #5: cost 1 inf + 1925 64.438 * * [simplify]: Extracting #6: cost 0 inf + 2107 64.438 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 64.438 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 64.438 * * * * [progress]: [ 91 / 189 ] simplifiying candidate # 64.439 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 64.439 * * [simplify]: iters left: 5 (7 enodes) 64.443 * * [simplify]: iters left: 4 (26 enodes) 64.449 * * [simplify]: iters left: 3 (35 enodes) 64.454 * * [simplify]: iters left: 2 (44 enodes) 64.460 * * [simplify]: Extracting #0: cost 1 inf + 0 64.461 * * [simplify]: Extracting #1: cost 8 inf + 0 64.461 * * [simplify]: Extracting #2: cost 18 inf + 0 64.461 * * [simplify]: Extracting #3: cost 15 inf + 74 64.461 * * [simplify]: Extracting #4: cost 8 inf + 554 64.461 * * [simplify]: Extracting #5: cost 0 inf + 1911 64.461 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 64.461 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 64.462 * * * * [progress]: [ 92 / 189 ] simplifiying candidate # 64.462 * [simplify]: Simplifying (log (* n (* 2 PI))) 64.462 * * [simplify]: iters left: 5 (6 enodes) 64.463 * * [simplify]: iters left: 4 (25 enodes) 64.468 * * [simplify]: iters left: 3 (44 enodes) 64.481 * * [simplify]: iters left: 2 (62 enodes) 64.490 * * [simplify]: iters left: 1 (70 enodes) 64.499 * * [simplify]: Extracting #0: cost 1 inf + 0 64.499 * * [simplify]: Extracting #1: cost 9 inf + 0 64.499 * * [simplify]: Extracting #2: cost 22 inf + 0 64.499 * * [simplify]: Extracting #3: cost 19 inf + 228 64.499 * * [simplify]: Extracting #4: cost 6 inf + 1211 64.500 * * [simplify]: Extracting #5: cost 1 inf + 1713 64.500 * * [simplify]: Extracting #6: cost 0 inf + 1825 64.501 * [simplify]: Simplified to (log (* (* PI 2) n)) 64.501 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (log (* (* PI 2) n))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 64.501 * * * * [progress]: [ 93 / 189 ] simplifiying candidate # 64.501 * [simplify]: Simplifying (exp (* n (* 2 PI))) 64.501 * * [simplify]: iters left: 5 (6 enodes) 64.503 * * [simplify]: iters left: 4 (24 enodes) 64.510 * * [simplify]: iters left: 3 (41 enodes) 64.524 * * [simplify]: iters left: 2 (77 enodes) 64.550 * * [simplify]: iters left: 1 (133 enodes) 64.592 * * [simplify]: Extracting #0: cost 1 inf + 0 64.592 * * [simplify]: Extracting #1: cost 33 inf + 0 64.593 * * [simplify]: Extracting #2: cost 75 inf + 860 64.594 * * [simplify]: Extracting #3: cost 73 inf + 4094 64.596 * * [simplify]: Extracting #4: cost 37 inf + 10165 64.600 * * [simplify]: Extracting #5: cost 4 inf + 19745 64.605 * * [simplify]: Extracting #6: cost 0 inf + 21278 64.609 * [simplify]: Simplified to (exp (* n (+ PI PI))) 64.609 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (log (exp (* n (+ PI PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 64.610 * * * * [progress]: [ 94 / 189 ] simplifiying candidate # 64.610 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 64.610 * * [simplify]: iters left: 6 (11 enodes) 64.618 * * [simplify]: iters left: 5 (48 enodes) 64.636 * * [simplify]: iters left: 4 (121 enodes) 64.682 * * [simplify]: iters left: 3 (355 enodes) 64.940 * * [simplify]: Extracting #0: cost 1 inf + 0 64.940 * * [simplify]: Extracting #1: cost 65 inf + 0 64.942 * * [simplify]: Extracting #2: cost 162 inf + 496 64.947 * * [simplify]: Extracting #3: cost 89 inf + 8992 64.953 * * [simplify]: Extracting #4: cost 19 inf + 22730 64.959 * * [simplify]: Extracting #5: cost 0 inf + 27780 64.968 * * [simplify]: Extracting #6: cost 0 inf + 27740 64.974 * [simplify]: Simplified to (* 8 (* (* n PI) (* (* n PI) (* n PI)))) 64.974 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* 8 (* (* n PI) (* (* n PI) (* n PI))))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 64.975 * * * * [progress]: [ 95 / 189 ] simplifiying candidate # 64.975 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 64.975 * * [simplify]: iters left: 6 (9 enodes) 64.981 * * [simplify]: iters left: 5 (45 enodes) 64.998 * * [simplify]: iters left: 4 (117 enodes) 65.035 * * [simplify]: iters left: 3 (377 enodes) 65.369 * * [simplify]: Extracting #0: cost 1 inf + 0 65.370 * * [simplify]: Extracting #1: cost 79 inf + 0 65.371 * * [simplify]: Extracting #2: cost 190 inf + 659 65.375 * * [simplify]: Extracting #3: cost 100 inf + 13035 65.387 * * [simplify]: Extracting #4: cost 6 inf + 31482 65.396 * * [simplify]: Extracting #5: cost 0 inf + 32336 65.406 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 65.406 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 65.406 * * * * [progress]: [ 96 / 189 ] simplifiying candidate # 65.406 * [simplify]: Simplifying (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) 65.406 * * [simplify]: iters left: 6 (7 enodes) 65.409 * * [simplify]: iters left: 5 (25 enodes) 65.416 * * [simplify]: iters left: 4 (33 enodes) 65.426 * * [simplify]: iters left: 3 (39 enodes) 65.436 * * [simplify]: Extracting #0: cost 1 inf + 0 65.436 * * [simplify]: Extracting #1: cost 3 inf + 0 65.436 * * [simplify]: Extracting #2: cost 5 inf + 0 65.436 * * [simplify]: Extracting #3: cost 12 inf + 0 65.437 * * [simplify]: Extracting #4: cost 11 inf + 45 65.437 * * [simplify]: Extracting #5: cost 5 inf + 500 65.437 * * [simplify]: Extracting #6: cost 1 inf + 950 65.438 * * [simplify]: Extracting #7: cost 0 inf + 1153 65.438 * [simplify]: Simplified to (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) 65.438 * [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)) (/ 1 (sqrt k)))) 65.439 * [simplify]: Simplifying (cbrt (* n (* 2 PI))) 65.439 * * [simplify]: iters left: 5 (6 enodes) 65.442 * * [simplify]: iters left: 4 (22 enodes) 65.448 * * [simplify]: iters left: 3 (30 enodes) 65.457 * * [simplify]: iters left: 2 (35 enodes) 65.463 * * [simplify]: Extracting #0: cost 1 inf + 0 65.463 * * [simplify]: Extracting #1: cost 3 inf + 0 65.463 * * [simplify]: Extracting #2: cost 10 inf + 0 65.463 * * [simplify]: Extracting #3: cost 10 inf + 3 65.463 * * [simplify]: Extracting #4: cost 6 inf + 171 65.463 * * [simplify]: Extracting #5: cost 1 inf + 584 65.463 * * [simplify]: Extracting #6: cost 0 inf + 747 65.463 * [simplify]: Simplified to (cbrt (* (* PI 2) n)) 65.463 * [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)) (/ 1 (sqrt k)))) 65.464 * * * * [progress]: [ 97 / 189 ] simplifiying candidate # 65.464 * [simplify]: Simplifying (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI))) 65.464 * * [simplify]: iters left: 6 (7 enodes) 65.466 * * [simplify]: iters left: 5 (35 enodes) 65.474 * * [simplify]: iters left: 4 (120 enodes) 65.541 * * [simplify]: iters left: 3 (434 enodes) 65.954 * * [simplify]: Extracting #0: cost 1 inf + 0 65.955 * * [simplify]: Extracting #1: cost 70 inf + 0 65.957 * * [simplify]: Extracting #2: cost 180 inf + 783 65.965 * * [simplify]: Extracting #3: cost 74 inf + 15033 65.983 * * [simplify]: Extracting #4: cost 1 inf + 25830 66.001 * * [simplify]: Extracting #5: cost 0 inf + 25831 66.014 * [simplify]: Simplified to (* 8 (* (* n PI) (* (* n PI) (* n PI)))) 66.014 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* 8 (* (* n PI) (* (* n PI) (* n PI))))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 66.014 * * * * [progress]: [ 98 / 189 ] simplifiying candidate # 66.014 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 66.014 * * [simplify]: iters left: 5 (6 enodes) 66.016 * * [simplify]: iters left: 4 (22 enodes) 66.019 * * [simplify]: iters left: 3 (30 enodes) 66.024 * * [simplify]: iters left: 2 (35 enodes) 66.028 * * [simplify]: Extracting #0: cost 1 inf + 0 66.028 * * [simplify]: Extracting #1: cost 3 inf + 0 66.028 * * [simplify]: Extracting #2: cost 10 inf + 0 66.028 * * [simplify]: Extracting #3: cost 10 inf + 3 66.028 * * [simplify]: Extracting #4: cost 6 inf + 171 66.028 * * [simplify]: Extracting #5: cost 1 inf + 544 66.028 * * [simplify]: Extracting #6: cost 0 inf + 667 66.029 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 66.029 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt (* (* PI 2) n)) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 66.029 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 66.029 * * [simplify]: iters left: 5 (6 enodes) 66.031 * * [simplify]: iters left: 4 (22 enodes) 66.034 * * [simplify]: iters left: 3 (30 enodes) 66.039 * * [simplify]: iters left: 2 (35 enodes) 66.048 * * [simplify]: Extracting #0: cost 1 inf + 0 66.048 * * [simplify]: Extracting #1: cost 3 inf + 0 66.048 * * [simplify]: Extracting #2: cost 10 inf + 0 66.048 * * [simplify]: Extracting #3: cost 10 inf + 3 66.048 * * [simplify]: Extracting #4: cost 6 inf + 171 66.049 * * [simplify]: Extracting #5: cost 1 inf + 544 66.049 * * [simplify]: Extracting #6: cost 0 inf + 667 66.049 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 66.050 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (* (sqrt (* n (* 2 PI))) (sqrt (* (* PI 2) n))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 66.050 * * * * [progress]: [ 99 / 189 ] simplifiying candidate # 66.050 * * * * [progress]: [ 100 / 189 ] simplifiying candidate # 66.050 * [simplify]: Simplifying (* n 2) 66.050 * * [simplify]: iters left: 2 (3 enodes) 66.052 * * [simplify]: iters left: 1 (10 enodes) 66.055 * * [simplify]: Extracting #0: cost 1 inf + 0 66.055 * * [simplify]: Extracting #1: cost 4 inf + 0 66.055 * * [simplify]: Extracting #2: cost 2 inf + 2 66.055 * * [simplify]: Extracting #3: cost 0 inf + 86 66.055 * [simplify]: Simplified to (* n 2) 66.055 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 66.056 * * * * [progress]: [ 101 / 189 ] simplifiying candidate # 66.056 * [simplify]: Simplifying (* (cbrt n) (* 2 PI)) 66.056 * * [simplify]: iters left: 4 (6 enodes) 66.059 * * [simplify]: iters left: 3 (22 enodes) 66.066 * * [simplify]: iters left: 2 (30 enodes) 66.074 * * [simplify]: iters left: 1 (35 enodes) 66.083 * * [simplify]: Extracting #0: cost 1 inf + 0 66.083 * * [simplify]: Extracting #1: cost 8 inf + 0 66.083 * * [simplify]: Extracting #2: cost 10 inf + 44 66.084 * * [simplify]: Extracting #3: cost 8 inf + 87 66.084 * * [simplify]: Extracting #4: cost 5 inf + 453 66.084 * * [simplify]: Extracting #5: cost 0 inf + 1063 66.084 * [simplify]: Simplified to (* (cbrt n) (* 2 PI)) 66.085 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 66.085 * * * * [progress]: [ 102 / 189 ] simplifiying candidate # 66.085 * [simplify]: Simplifying (* (sqrt n) (* 2 PI)) 66.085 * * [simplify]: iters left: 4 (6 enodes) 66.088 * * [simplify]: iters left: 3 (22 enodes) 66.095 * * [simplify]: iters left: 2 (30 enodes) 66.104 * * [simplify]: iters left: 1 (35 enodes) 66.113 * * [simplify]: Extracting #0: cost 1 inf + 0 66.113 * * [simplify]: Extracting #1: cost 8 inf + 0 66.113 * * [simplify]: Extracting #2: cost 10 inf + 44 66.113 * * [simplify]: Extracting #3: cost 8 inf + 87 66.113 * * [simplify]: Extracting #4: cost 5 inf + 333 66.114 * * [simplify]: Extracting #5: cost 0 inf + 743 66.114 * [simplify]: Simplified to (* (sqrt n) (* 2 PI)) 66.114 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 66.114 * * * * [progress]: [ 103 / 189 ] simplifiying candidate # 66.114 * [simplify]: Simplifying (* n (* 2 PI)) 66.114 * * [simplify]: iters left: 4 (5 enodes) 66.117 * * [simplify]: iters left: 3 (19 enodes) 66.123 * * [simplify]: iters left: 2 (27 enodes) 66.131 * * [simplify]: iters left: 1 (32 enodes) 66.139 * * [simplify]: Extracting #0: cost 1 inf + 0 66.139 * * [simplify]: Extracting #1: cost 8 inf + 0 66.139 * * [simplify]: Extracting #2: cost 7 inf + 45 66.139 * * [simplify]: Extracting #3: cost 0 inf + 421 66.140 * [simplify]: Simplified to (* (* PI 2) n) 66.140 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (* 1 (* (* PI 2) n)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 66.140 * * * * [progress]: [ 104 / 189 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))> 66.140 * [simplify]: Simplifying (real->posit16 (* n (* 2 PI))) 66.140 * * [simplify]: iters left: 5 (6 enodes) 66.143 * * [simplify]: iters left: 4 (19 enodes) 66.149 * * [simplify]: iters left: 3 (27 enodes) 66.154 * * [simplify]: iters left: 2 (32 enodes) 66.159 * * [simplify]: Extracting #0: cost 1 inf + 0 66.159 * * [simplify]: Extracting #1: cost 2 inf + 0 66.159 * * [simplify]: Extracting #2: cost 8 inf + 0 66.159 * * [simplify]: Extracting #3: cost 7 inf + 45 66.159 * * [simplify]: Extracting #4: cost 1 inf + 379 66.159 * * [simplify]: Extracting #5: cost 0 inf + 421 66.159 * [simplify]: Simplified to (real->posit16 (* (* PI 2) n)) 66.159 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (posit16->real (real->posit16 (* (* PI 2) n))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 66.159 * * * * [progress]: [ 105 / 189 ] simplifiying candidate # 66.159 * * * * [progress]: [ 106 / 189 ] simplifiying candidate # 66.160 * * * * [progress]: [ 107 / 189 ] simplifiying candidate # 66.160 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 66.160 * * [simplify]: iters left: 6 (17 enodes) 66.165 * * [simplify]: iters left: 5 (68 enodes) 66.177 * * [simplify]: iters left: 4 (111 enodes) 66.218 * * [simplify]: iters left: 3 (296 enodes) 66.299 * * [simplify]: Extracting #0: cost 1 inf + 0 66.299 * * [simplify]: Extracting #1: cost 31 inf + 0 66.299 * * [simplify]: Extracting #2: cost 107 inf + 0 66.300 * * [simplify]: Extracting #3: cost 166 inf + 73 66.301 * * [simplify]: Extracting #4: cost 177 inf + 2174 66.305 * * [simplify]: Extracting #5: cost 85 inf + 24495 66.318 * * [simplify]: Extracting #6: cost 8 inf + 47533 66.337 * * [simplify]: Extracting #7: cost 2 inf + 49888 66.356 * * [simplify]: Extracting #8: cost 0 inf + 50878 66.373 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 66.373 * [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 k))))) 66.373 * * * * [progress]: [ 108 / 189 ] simplifiying candidate # 66.374 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 66.374 * * [simplify]: iters left: 6 (18 enodes) 66.379 * * [simplify]: iters left: 5 (73 enodes) 66.392 * * [simplify]: iters left: 4 (122 enodes) 66.436 * * [simplify]: iters left: 3 (341 enodes) 66.569 * * [simplify]: Extracting #0: cost 1 inf + 0 66.569 * * [simplify]: Extracting #1: cost 25 inf + 0 66.570 * * [simplify]: Extracting #2: cost 132 inf + 1 66.572 * * [simplify]: Extracting #3: cost 200 inf + 74 66.574 * * [simplify]: Extracting #4: cost 185 inf + 6970 66.589 * * [simplify]: Extracting #5: cost 39 inf + 48071 66.612 * * [simplify]: Extracting #6: cost 0 inf + 61140 66.635 * * [simplify]: Extracting #7: cost 0 inf + 61134 66.659 * * [simplify]: Extracting #8: cost 0 inf + 61133 66.682 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 66.685 * [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 k))))) 66.685 * * * * [progress]: [ 109 / 189 ] simplifiying candidate # 66.686 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 66.686 * * [simplify]: iters left: 6 (18 enodes) 66.696 * * [simplify]: iters left: 5 (74 enodes) 66.718 * * [simplify]: iters left: 4 (118 enodes) 66.763 * * [simplify]: iters left: 3 (325 enodes) 66.879 * * [simplify]: Extracting #0: cost 1 inf + 0 66.880 * * [simplify]: Extracting #1: cost 45 inf + 0 66.880 * * [simplify]: Extracting #2: cost 130 inf + 1 66.881 * * [simplify]: Extracting #3: cost 189 inf + 74 66.884 * * [simplify]: Extracting #4: cost 184 inf + 5486 66.893 * * [simplify]: Extracting #5: cost 68 inf + 33830 66.913 * * [simplify]: Extracting #6: cost 6 inf + 57997 66.933 * * [simplify]: Extracting #7: cost 0 inf + 60862 66.945 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 66.945 * [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 k))))) 66.945 * * * * [progress]: [ 110 / 189 ] simplifiying candidate # 66.945 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 66.945 * * [simplify]: iters left: 6 (17 enodes) 66.950 * * [simplify]: iters left: 5 (71 enodes) 66.964 * * [simplify]: iters left: 4 (117 enodes) 67.015 * * [simplify]: iters left: 3 (311 enodes) 67.138 * * [simplify]: Extracting #0: cost 1 inf + 0 67.138 * * [simplify]: Extracting #1: cost 32 inf + 0 67.139 * * [simplify]: Extracting #2: cost 129 inf + 1 67.140 * * [simplify]: Extracting #3: cost 192 inf + 74 67.143 * * [simplify]: Extracting #4: cost 175 inf + 8837 67.156 * * [simplify]: Extracting #5: cost 56 inf + 40572 67.177 * * [simplify]: Extracting #6: cost 1 inf + 59978 67.198 * * [simplify]: Extracting #7: cost 0 inf + 60312 67.220 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 67.220 * [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 k))))) 67.221 * * * * [progress]: [ 111 / 189 ] simplifiying candidate # 67.221 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 67.221 * * [simplify]: iters left: 6 (16 enodes) 67.234 * * [simplify]: iters left: 5 (66 enodes) 67.254 * * [simplify]: iters left: 4 (104 enodes) 67.274 * * [simplify]: iters left: 3 (240 enodes) 67.357 * * [simplify]: Extracting #0: cost 1 inf + 0 67.357 * * [simplify]: Extracting #1: cost 27 inf + 0 67.358 * * [simplify]: Extracting #2: cost 102 inf + 0 67.358 * * [simplify]: Extracting #3: cost 157 inf + 2 67.359 * * [simplify]: Extracting #4: cost 169 inf + 1461 67.362 * * [simplify]: Extracting #5: cost 76 inf + 19336 67.368 * * [simplify]: Extracting #6: cost 8 inf + 39778 67.376 * * [simplify]: Extracting #7: cost 0 inf + 43010 67.384 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 67.385 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 67.385 * * * * [progress]: [ 112 / 189 ] simplifiying candidate # 67.385 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 67.385 * * [simplify]: iters left: 6 (17 enodes) 67.392 * * [simplify]: iters left: 5 (71 enodes) 67.418 * * [simplify]: iters left: 4 (115 enodes) 67.441 * * [simplify]: iters left: 3 (279 enodes) 67.558 * * [simplify]: Extracting #0: cost 1 inf + 0 67.558 * * [simplify]: Extracting #1: cost 23 inf + 0 67.559 * * [simplify]: Extracting #2: cost 123 inf + 1 67.559 * * [simplify]: Extracting #3: cost 184 inf + 3 67.561 * * [simplify]: Extracting #4: cost 164 inf + 8411 67.567 * * [simplify]: Extracting #5: cost 32 inf + 40616 67.576 * * [simplify]: Extracting #6: cost 0 inf + 50420 67.586 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 67.586 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 67.586 * * * * [progress]: [ 113 / 189 ] simplifiying candidate # 67.587 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 67.587 * * [simplify]: iters left: 6 (17 enodes) 67.595 * * [simplify]: iters left: 5 (72 enodes) 67.607 * * [simplify]: iters left: 4 (111 enodes) 67.632 * * [simplify]: iters left: 3 (265 enodes) 67.746 * * [simplify]: Extracting #0: cost 1 inf + 0 67.746 * * [simplify]: Extracting #1: cost 35 inf + 0 67.746 * * [simplify]: Extracting #2: cost 117 inf + 1 67.747 * * [simplify]: Extracting #3: cost 172 inf + 3 67.748 * * [simplify]: Extracting #4: cost 180 inf + 2243 67.752 * * [simplify]: Extracting #5: cost 80 inf + 23288 67.761 * * [simplify]: Extracting #6: cost 8 inf + 45802 67.779 * * [simplify]: Extracting #7: cost 0 inf + 48764 67.801 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 67.801 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 67.801 * * * * [progress]: [ 114 / 189 ] simplifiying candidate # 67.801 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 67.801 * * [simplify]: iters left: 6 (16 enodes) 67.806 * * [simplify]: iters left: 5 (69 enodes) 67.818 * * [simplify]: iters left: 4 (110 enodes) 67.843 * * [simplify]: iters left: 3 (251 enodes) 67.946 * * [simplify]: Extracting #0: cost 1 inf + 0 67.946 * * [simplify]: Extracting #1: cost 31 inf + 0 67.947 * * [simplify]: Extracting #2: cost 120 inf + 1 67.948 * * [simplify]: Extracting #3: cost 176 inf + 3 67.949 * * [simplify]: Extracting #4: cost 185 inf + 2283 67.956 * * [simplify]: Extracting #5: cost 80 inf + 25130 67.974 * * [simplify]: Extracting #6: cost 3 inf + 48758 67.993 * * [simplify]: Extracting #7: cost 0 inf + 49842 68.017 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 68.017 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 68.017 * * * * [progress]: [ 115 / 189 ] simplifiying candidate # 68.017 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 68.017 * * [simplify]: iters left: 6 (15 enodes) 68.025 * * [simplify]: iters left: 5 (65 enodes) 68.047 * * [simplify]: iters left: 4 (111 enodes) 68.081 * * [simplify]: iters left: 3 (225 enodes) 68.144 * * [simplify]: Extracting #0: cost 1 inf + 0 68.144 * * [simplify]: Extracting #1: cost 20 inf + 0 68.145 * * [simplify]: Extracting #2: cost 93 inf + 0 68.145 * * [simplify]: Extracting #3: cost 149 inf + 73 68.146 * * [simplify]: Extracting #4: cost 170 inf + 1179 68.148 * * [simplify]: Extracting #5: cost 112 inf + 9371 68.159 * * [simplify]: Extracting #6: cost 21 inf + 29670 68.173 * * [simplify]: Extracting #7: cost 1 inf + 36368 68.187 * * [simplify]: Extracting #8: cost 0 inf + 36752 68.200 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 68.200 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 68.201 * * * * [progress]: [ 116 / 189 ] simplifiying candidate # 68.201 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 68.201 * * [simplify]: iters left: 6 (16 enodes) 68.209 * * [simplify]: iters left: 5 (70 enodes) 68.229 * * [simplify]: iters left: 4 (122 enodes) 68.263 * * [simplify]: iters left: 3 (256 enodes) 68.359 * * [simplify]: Extracting #0: cost 1 inf + 0 68.359 * * [simplify]: Extracting #1: cost 21 inf + 0 68.360 * * [simplify]: Extracting #2: cost 116 inf + 1 68.361 * * [simplify]: Extracting #3: cost 176 inf + 3 68.363 * * [simplify]: Extracting #4: cost 185 inf + 2131 68.369 * * [simplify]: Extracting #5: cost 78 inf + 21936 68.377 * * [simplify]: Extracting #6: cost 3 inf + 42999 68.386 * * [simplify]: Extracting #7: cost 0 inf + 43872 68.394 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 68.394 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 68.395 * * * * [progress]: [ 117 / 189 ] simplifiying candidate # 68.395 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 68.395 * * [simplify]: iters left: 6 (16 enodes) 68.404 * * [simplify]: iters left: 5 (71 enodes) 68.424 * * [simplify]: iters left: 4 (118 enodes) 68.454 * * [simplify]: iters left: 3 (247 enodes) 68.533 * * [simplify]: Extracting #0: cost 1 inf + 0 68.533 * * [simplify]: Extracting #1: cost 28 inf + 0 68.533 * * [simplify]: Extracting #2: cost 107 inf + 1 68.534 * * [simplify]: Extracting #3: cost 164 inf + 3 68.536 * * [simplify]: Extracting #4: cost 184 inf + 1157 68.540 * * [simplify]: Extracting #5: cost 104 inf + 13554 68.550 * * [simplify]: Extracting #6: cost 13 inf + 36941 68.558 * * [simplify]: Extracting #7: cost 0 inf + 41813 68.566 * * [simplify]: Extracting #8: cost 0 inf + 41623 68.574 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 68.574 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 68.575 * * * * [progress]: [ 118 / 189 ] simplifiying candidate # 68.575 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 68.575 * * [simplify]: iters left: 6 (15 enodes) 68.584 * * [simplify]: iters left: 5 (68 enodes) 68.599 * * [simplify]: iters left: 4 (117 enodes) 68.622 * * [simplify]: iters left: 3 (236 enodes) 68.700 * * [simplify]: Extracting #0: cost 1 inf + 0 68.700 * * [simplify]: Extracting #1: cost 20 inf + 0 68.701 * * [simplify]: Extracting #2: cost 101 inf + 1 68.702 * * [simplify]: Extracting #3: cost 159 inf + 3 68.703 * * [simplify]: Extracting #4: cost 182 inf + 664 68.709 * * [simplify]: Extracting #5: cost 73 inf + 20254 68.724 * * [simplify]: Extracting #6: cost 13 inf + 34164 68.739 * * [simplify]: Extracting #7: cost 1 inf + 38513 68.754 * * [simplify]: Extracting #8: cost 0 inf + 39087 68.769 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 68.769 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 68.769 * * * * [progress]: [ 119 / 189 ] simplifiying candidate # 68.770 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 68.770 * * [simplify]: iters left: 6 (15 enodes) 68.778 * * [simplify]: iters left: 5 (65 enodes) 68.789 * * [simplify]: iters left: 4 (111 enodes) 68.809 * * [simplify]: iters left: 3 (225 enodes) 68.868 * * [simplify]: Extracting #0: cost 1 inf + 0 68.868 * * [simplify]: Extracting #1: cost 20 inf + 0 68.869 * * [simplify]: Extracting #2: cost 93 inf + 0 68.869 * * [simplify]: Extracting #3: cost 149 inf + 73 68.870 * * [simplify]: Extracting #4: cost 170 inf + 1179 68.872 * * [simplify]: Extracting #5: cost 112 inf + 9371 68.877 * * [simplify]: Extracting #6: cost 21 inf + 29670 68.884 * * [simplify]: Extracting #7: cost 1 inf + 36368 68.891 * * [simplify]: Extracting #8: cost 0 inf + 36752 68.902 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 68.902 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 68.902 * * * * [progress]: [ 120 / 189 ] simplifiying candidate # 68.903 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 68.903 * * [simplify]: iters left: 6 (16 enodes) 68.912 * * [simplify]: iters left: 5 (70 enodes) 68.934 * * [simplify]: iters left: 4 (122 enodes) 68.969 * * [simplify]: iters left: 3 (256 enodes) 69.056 * * [simplify]: Extracting #0: cost 1 inf + 0 69.056 * * [simplify]: Extracting #1: cost 21 inf + 0 69.056 * * [simplify]: Extracting #2: cost 116 inf + 1 69.057 * * [simplify]: Extracting #3: cost 176 inf + 3 69.057 * * [simplify]: Extracting #4: cost 185 inf + 2131 69.061 * * [simplify]: Extracting #5: cost 78 inf + 21936 69.070 * * [simplify]: Extracting #6: cost 3 inf + 42999 69.079 * * [simplify]: Extracting #7: cost 0 inf + 43872 69.090 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 69.090 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 69.091 * * * * [progress]: [ 121 / 189 ] simplifiying candidate # 69.091 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 69.095 * * [simplify]: iters left: 6 (16 enodes) 69.104 * * [simplify]: iters left: 5 (71 enodes) 69.119 * * [simplify]: iters left: 4 (118 enodes) 69.141 * * [simplify]: iters left: 3 (247 enodes) 69.243 * * [simplify]: Extracting #0: cost 1 inf + 0 69.243 * * [simplify]: Extracting #1: cost 28 inf + 0 69.244 * * [simplify]: Extracting #2: cost 107 inf + 1 69.245 * * [simplify]: Extracting #3: cost 164 inf + 3 69.246 * * [simplify]: Extracting #4: cost 184 inf + 1157 69.251 * * [simplify]: Extracting #5: cost 104 inf + 13554 69.263 * * [simplify]: Extracting #6: cost 13 inf + 36941 69.280 * * [simplify]: Extracting #7: cost 0 inf + 41813 69.294 * * [simplify]: Extracting #8: cost 0 inf + 41623 69.302 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 69.302 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 69.302 * * * * [progress]: [ 122 / 189 ] simplifiying candidate # 69.303 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 69.303 * * [simplify]: iters left: 6 (15 enodes) 69.307 * * [simplify]: iters left: 5 (68 enodes) 69.323 * * [simplify]: iters left: 4 (117 enodes) 69.350 * * [simplify]: iters left: 3 (236 enodes) 69.436 * * [simplify]: Extracting #0: cost 1 inf + 0 69.436 * * [simplify]: Extracting #1: cost 20 inf + 0 69.436 * * [simplify]: Extracting #2: cost 101 inf + 1 69.437 * * [simplify]: Extracting #3: cost 159 inf + 3 69.438 * * [simplify]: Extracting #4: cost 182 inf + 664 69.441 * * [simplify]: Extracting #5: cost 73 inf + 20254 69.450 * * [simplify]: Extracting #6: cost 13 inf + 34164 69.462 * * [simplify]: Extracting #7: cost 1 inf + 38513 69.470 * * [simplify]: Extracting #8: cost 0 inf + 39087 69.477 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 69.478 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 69.478 * * * * [progress]: [ 123 / 189 ] simplifiying candidate # 69.478 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log (sqrt k)))) 69.478 * * [simplify]: iters left: 6 (15 enodes) 69.482 * * [simplify]: iters left: 5 (64 enodes) 69.497 * * [simplify]: iters left: 4 (111 enodes) 69.537 * * [simplify]: iters left: 3 (216 enodes) 69.620 * * [simplify]: Extracting #0: cost 1 inf + 0 69.620 * * [simplify]: Extracting #1: cost 20 inf + 0 69.621 * * [simplify]: Extracting #2: cost 114 inf + 0 69.621 * * [simplify]: Extracting #3: cost 190 inf + 2 69.622 * * [simplify]: Extracting #4: cost 158 inf + 6527 69.628 * * [simplify]: Extracting #5: cost 47 inf + 30354 69.637 * * [simplify]: Extracting #6: cost 3 inf + 42854 69.645 * * [simplify]: Extracting #7: cost 0 inf + 44415 69.652 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 69.652 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 69.653 * * * * [progress]: [ 124 / 189 ] simplifiying candidate # 69.653 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- 0 (log (sqrt k)))) 69.653 * * [simplify]: iters left: 6 (16 enodes) 69.658 * * [simplify]: iters left: 5 (69 enodes) 69.670 * * [simplify]: iters left: 4 (122 enodes) 69.700 * * [simplify]: iters left: 3 (246 enodes) 69.785 * * [simplify]: Extracting #0: cost 1 inf + 0 69.785 * * [simplify]: Extracting #1: cost 23 inf + 0 69.786 * * [simplify]: Extracting #2: cost 141 inf + 1 69.787 * * [simplify]: Extracting #3: cost 218 inf + 3 69.790 * * [simplify]: Extracting #4: cost 188 inf + 7164 69.802 * * [simplify]: Extracting #5: cost 53 inf + 37091 69.815 * * [simplify]: Extracting #6: cost 3 inf + 50940 69.824 * * [simplify]: Extracting #7: cost 0 inf + 52702 69.838 * [simplify]: Simplified to (- (/ (* (- 1 k) (log (* (* PI 2) n))) 2) (log (sqrt k))) 69.838 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (- 1 k) (log (* (* PI 2) n))) 2) (log (sqrt k))))) 69.838 * * * * [progress]: [ 125 / 189 ] simplifiying candidate # 69.838 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log 1) (log (sqrt k)))) 69.839 * * [simplify]: iters left: 6 (16 enodes) 69.848 * * [simplify]: iters left: 5 (70 enodes) 69.864 * * [simplify]: iters left: 4 (118 enodes) 69.886 * * [simplify]: iters left: 3 (235 enodes) 69.954 * * [simplify]: Extracting #0: cost 1 inf + 0 69.954 * * [simplify]: Extracting #1: cost 26 inf + 0 69.954 * * [simplify]: Extracting #2: cost 127 inf + 1 69.955 * * [simplify]: Extracting #3: cost 203 inf + 3 69.957 * * [simplify]: Extracting #4: cost 173 inf + 6689 69.967 * * [simplify]: Extracting #5: cost 47 inf + 36456 69.983 * * [simplify]: Extracting #6: cost 1 inf + 49014 70.000 * * [simplify]: Extracting #7: cost 0 inf + 49360 70.014 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 70.014 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 70.014 * * * * [progress]: [ 126 / 189 ] simplifiying candidate # 70.014 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (/ 1 (sqrt k)))) 70.014 * * [simplify]: iters left: 6 (15 enodes) 70.019 * * [simplify]: iters left: 5 (67 enodes) 70.030 * * [simplify]: iters left: 4 (117 enodes) 70.063 * * [simplify]: iters left: 3 (227 enodes) 70.124 * * [simplify]: Extracting #0: cost 1 inf + 0 70.124 * * [simplify]: Extracting #1: cost 22 inf + 0 70.125 * * [simplify]: Extracting #2: cost 126 inf + 1 70.125 * * [simplify]: Extracting #3: cost 203 inf + 3 70.130 * * [simplify]: Extracting #4: cost 163 inf + 12360 70.135 * * [simplify]: Extracting #5: cost 46 inf + 35618 70.143 * * [simplify]: Extracting #6: cost 3 inf + 46946 70.151 * * [simplify]: Extracting #7: cost 0 inf + 48263 70.161 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) (log (sqrt k))) 70.161 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) (log (sqrt k))))) 70.161 * * * * [progress]: [ 127 / 189 ] simplifiying candidate # 70.161 * [simplify]: Simplifying (log (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 70.161 * * [simplify]: iters left: 6 (14 enodes) 70.166 * * [simplify]: iters left: 5 (63 enodes) 70.186 * * [simplify]: iters left: 4 (121 enodes) 70.226 * * [simplify]: iters left: 3 (228 enodes) 70.294 * * [simplify]: Extracting #0: cost 1 inf + 0 70.294 * * [simplify]: Extracting #1: cost 14 inf + 0 70.294 * * [simplify]: Extracting #2: cost 102 inf + 1 70.295 * * [simplify]: Extracting #3: cost 173 inf + 4 70.296 * * [simplify]: Extracting #4: cost 185 inf + 289 70.300 * * [simplify]: Extracting #5: cost 119 inf + 12409 70.313 * * [simplify]: Extracting #6: cost 15 inf + 43749 70.331 * * [simplify]: Extracting #7: cost 0 inf + 51255 70.353 * * [simplify]: Extracting #8: cost 0 inf + 50971 70.364 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 70.364 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 70.365 * * * * [progress]: [ 128 / 189 ] simplifiying candidate # 70.365 * [simplify]: Simplifying (exp (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 70.365 * * [simplify]: iters left: 6 (14 enodes) 70.369 * * [simplify]: iters left: 5 (62 enodes) 70.380 * * [simplify]: iters left: 4 (114 enodes) 70.412 * * [simplify]: iters left: 3 (211 enodes) 70.496 * * [simplify]: iters left: 2 (454 enodes) 70.657 * * [simplify]: Extracting #0: cost 1 inf + 0 70.658 * * [simplify]: Extracting #1: cost 39 inf + 0 70.658 * * [simplify]: Extracting #2: cost 201 inf + 2 70.659 * * [simplify]: Extracting #3: cost 309 inf + 6 70.662 * * [simplify]: Extracting #4: cost 299 inf + 6310 70.672 * * [simplify]: Extracting #5: cost 198 inf + 37803 70.704 * * [simplify]: Extracting #6: cost 47 inf + 127732 70.748 * * [simplify]: Extracting #7: cost 2 inf + 161153 70.795 * * [simplify]: Extracting #8: cost 0 inf + 162915 70.828 * [simplify]: Simplified to (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 70.828 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 70.828 * * * * [progress]: [ 129 / 189 ] simplifiying candidate # 70.828 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 70.829 * * [simplify]: iters left: 6 (19 enodes) 70.834 * * [simplify]: iters left: 5 (80 enodes) 70.848 * * [simplify]: iters left: 4 (188 enodes) 70.905 * * [simplify]: Extracting #0: cost 1 inf + 0 70.905 * * [simplify]: Extracting #1: cost 46 inf + 0 70.905 * * [simplify]: Extracting #2: cost 129 inf + 166 70.906 * * [simplify]: Extracting #3: cost 141 inf + 1151 70.907 * * [simplify]: Extracting #4: cost 134 inf + 2517 70.911 * * [simplify]: Extracting #5: cost 58 inf + 30514 70.927 * * [simplify]: Extracting #6: cost 4 inf + 61897 70.937 * * [simplify]: Extracting #7: cost 0 inf + 63963 70.948 * [simplify]: Simplified to (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) k) 70.948 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) k))) 70.948 * * * * [progress]: [ 130 / 189 ] simplifiying candidate # 70.948 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) 70.949 * * [simplify]: iters left: 6 (17 enodes) 70.959 * * [simplify]: iters left: 5 (81 enodes) 70.990 * * [simplify]: iters left: 4 (174 enodes) 71.088 * * [simplify]: iters left: 3 (496 enodes) 71.417 * * [simplify]: Extracting #0: cost 1 inf + 0 71.418 * * [simplify]: Extracting #1: cost 107 inf + 0 71.421 * * [simplify]: Extracting #2: cost 447 inf + 3 71.425 * * [simplify]: Extracting #3: cost 481 inf + 749 71.430 * * [simplify]: Extracting #4: cost 462 inf + 3489 71.458 * * [simplify]: Extracting #5: cost 236 inf + 137704 71.520 * * [simplify]: Extracting #6: cost 13 inf + 314588 71.620 * * [simplify]: Extracting #7: cost 0 inf + 315167 71.680 * * [simplify]: Extracting #8: cost 0 inf + 314104 71.766 * [simplify]: Simplified to (/ (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (sqrt k) k)) 71.766 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (sqrt k) k)))) 71.766 * * * * [progress]: [ 131 / 189 ] simplifiying candidate # 71.767 * [simplify]: Simplifying (* (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))) 71.767 * * [simplify]: iters left: 6 (15 enodes) 71.775 * * [simplify]: iters left: 5 (63 enodes) 71.797 * * [simplify]: iters left: 4 (106 enodes) 71.834 * * [simplify]: iters left: 3 (172 enodes) 71.873 * * [simplify]: iters left: 2 (328 enodes) 71.997 * * [simplify]: Extracting #0: cost 1 inf + 0 71.997 * * [simplify]: Extracting #1: cost 3 inf + 0 71.997 * * [simplify]: Extracting #2: cost 5 inf + 0 71.997 * * [simplify]: Extracting #3: cost 51 inf + 0 71.997 * * [simplify]: Extracting #4: cost 137 inf + 1 71.998 * * [simplify]: Extracting #5: cost 179 inf + 4 71.999 * * [simplify]: Extracting #6: cost 161 inf + 2627 72.001 * * [simplify]: Extracting #7: cost 124 inf + 10065 72.005 * * [simplify]: Extracting #8: cost 91 inf + 22157 72.015 * * [simplify]: Extracting #9: cost 20 inf + 74380 72.037 * * [simplify]: Extracting #10: cost 0 inf + 86988 72.065 * * [simplify]: Extracting #11: cost 0 inf + 86987 72.091 * [simplify]: Simplified to (* (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))) 72.091 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))) 72.091 * [simplify]: Simplifying (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 72.091 * * [simplify]: iters left: 6 (14 enodes) 72.095 * * [simplify]: iters left: 5 (60 enodes) 72.108 * * [simplify]: iters left: 4 (103 enodes) 72.130 * * [simplify]: iters left: 3 (170 enodes) 72.169 * * [simplify]: iters left: 2 (328 enodes) 72.280 * * [simplify]: Extracting #0: cost 1 inf + 0 72.280 * * [simplify]: Extracting #1: cost 3 inf + 0 72.280 * * [simplify]: Extracting #2: cost 50 inf + 0 72.280 * * [simplify]: Extracting #3: cost 140 inf + 1 72.281 * * [simplify]: Extracting #4: cost 182 inf + 4 72.283 * * [simplify]: Extracting #5: cost 158 inf + 8130 72.291 * * [simplify]: Extracting #6: cost 56 inf + 48493 72.318 * * [simplify]: Extracting #7: cost 1 inf + 79220 72.337 * * [simplify]: Extracting #8: cost 0 inf + 78910 72.355 * * [simplify]: Extracting #9: cost 0 inf + 78499 72.385 * [simplify]: Simplified to (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 72.386 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 72.386 * * * * [progress]: [ 132 / 189 ] simplifiying candidate # 72.386 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 72.386 * * [simplify]: iters left: 6 (15 enodes) 72.395 * * [simplify]: iters left: 5 (73 enodes) 72.424 * * [simplify]: iters left: 4 (181 enodes) 72.520 * * [simplify]: Extracting #0: cost 1 inf + 0 72.520 * * [simplify]: Extracting #1: cost 39 inf + 0 72.520 * * [simplify]: Extracting #2: cost 118 inf + 2 72.521 * * [simplify]: Extracting #3: cost 139 inf + 4 72.522 * * [simplify]: Extracting #4: cost 128 inf + 1916 72.525 * * [simplify]: Extracting #5: cost 77 inf + 18238 72.539 * * [simplify]: Extracting #6: cost 25 inf + 50969 72.554 * * [simplify]: Extracting #7: cost 0 inf + 69667 72.565 * * [simplify]: Extracting #8: cost 0 inf + 69151 72.576 * [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))) 72.576 * [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))))) 72.576 * * * * [progress]: [ 133 / 189 ] simplifiying candidate # 72.576 * [simplify]: Simplifying (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 72.576 * * [simplify]: iters left: 6 (14 enodes) 72.582 * * [simplify]: iters left: 5 (60 enodes) 72.593 * * [simplify]: iters left: 4 (103 enodes) 72.653 * * [simplify]: iters left: 3 (170 enodes) 72.712 * * [simplify]: iters left: 2 (328 enodes) 72.876 * * [simplify]: Extracting #0: cost 1 inf + 0 72.876 * * [simplify]: Extracting #1: cost 3 inf + 0 72.876 * * [simplify]: Extracting #2: cost 50 inf + 0 72.877 * * [simplify]: Extracting #3: cost 140 inf + 1 72.878 * * [simplify]: Extracting #4: cost 182 inf + 4 72.881 * * [simplify]: Extracting #5: cost 158 inf + 8050 72.897 * * [simplify]: Extracting #6: cost 56 inf + 48413 72.914 * * [simplify]: Extracting #7: cost 1 inf + 79140 72.931 * * [simplify]: Extracting #8: cost 0 inf + 78830 72.949 * * [simplify]: Extracting #9: cost 0 inf + 78419 72.967 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 72.967 * [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)) (/ 1 (sqrt k)))))) 72.968 * [simplify]: Simplifying (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 72.968 * * [simplify]: iters left: 6 (14 enodes) 72.972 * * [simplify]: iters left: 5 (60 enodes) 72.983 * * [simplify]: iters left: 4 (103 enodes) 73.016 * * [simplify]: iters left: 3 (170 enodes) 73.062 * * [simplify]: iters left: 2 (328 enodes) 73.219 * * [simplify]: Extracting #0: cost 1 inf + 0 73.219 * * [simplify]: Extracting #1: cost 3 inf + 0 73.219 * * [simplify]: Extracting #2: cost 50 inf + 0 73.220 * * [simplify]: Extracting #3: cost 140 inf + 1 73.220 * * [simplify]: Extracting #4: cost 182 inf + 4 73.222 * * [simplify]: Extracting #5: cost 158 inf + 8050 73.230 * * [simplify]: Extracting #6: cost 56 inf + 48413 73.255 * * [simplify]: Extracting #7: cost 1 inf + 79140 73.284 * * [simplify]: Extracting #8: cost 0 inf + 78830 73.307 * * [simplify]: Extracting #9: cost 0 inf + 78419 73.322 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 73.322 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 73.323 * * * * [progress]: [ 134 / 189 ] simplifiying candidate # 73.323 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) 1) 73.323 * * [simplify]: iters left: 6 (9 enodes) 73.327 * * [simplify]: iters left: 5 (37 enodes) 73.334 * * [simplify]: iters left: 4 (66 enodes) 73.347 * * [simplify]: iters left: 3 (108 enodes) 73.376 * * [simplify]: iters left: 2 (171 enodes) 73.431 * * [simplify]: iters left: 1 (333 enodes) 73.624 * * [simplify]: Extracting #0: cost 1 inf + 0 73.624 * * [simplify]: Extracting #1: cost 29 inf + 0 73.625 * * [simplify]: Extracting #2: cost 101 inf + 3 73.625 * * [simplify]: Extracting #3: cost 86 inf + 1774 73.629 * * [simplify]: Extracting #4: cost 31 inf + 33081 73.635 * * [simplify]: Extracting #5: cost 1 inf + 51691 73.647 * * [simplify]: Extracting #6: cost 0 inf + 52025 73.660 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 73.660 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)))) 73.660 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)) 73.660 * * [simplify]: iters left: 6 (10 enodes) 73.663 * * [simplify]: iters left: 5 (38 enodes) 73.669 * * [simplify]: iters left: 4 (62 enodes) 73.679 * * [simplify]: iters left: 3 (104 enodes) 73.704 * * [simplify]: iters left: 2 (207 enodes) 73.787 * * [simplify]: iters left: 1 (465 enodes) 74.088 * * [simplify]: Extracting #0: cost 1 inf + 0 74.089 * * [simplify]: Extracting #1: cost 55 inf + 0 74.090 * * [simplify]: Extracting #2: cost 177 inf + 0 74.092 * * [simplify]: Extracting #3: cost 216 inf + 45 74.094 * * [simplify]: Extracting #4: cost 191 inf + 2421 74.101 * * [simplify]: Extracting #5: cost 132 inf + 23321 74.125 * * [simplify]: Extracting #6: cost 21 inf + 119854 74.145 * * [simplify]: Extracting #7: cost 0 inf + 137204 74.184 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ k 2)) (sqrt k)) 74.184 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* (* PI 2) n) (/ k 2)) (sqrt k)))) 74.185 * * * * [progress]: [ 135 / 189 ] simplifiying candidate # 74.185 * * * * [progress]: [ 136 / 189 ] simplifiying candidate # 74.185 * * * * [progress]: [ 137 / 189 ] simplifiying candidate # 74.189 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 74.189 * * [simplify]: iters left: 6 (15 enodes) 74.197 * * [simplify]: iters left: 5 (61 enodes) 74.211 * * [simplify]: iters left: 4 (95 enodes) 74.226 * * [simplify]: iters left: 3 (137 enodes) 74.260 * * [simplify]: iters left: 2 (222 enodes) 74.317 * * [simplify]: iters left: 1 (401 enodes) 74.534 * * [simplify]: Extracting #0: cost 1 inf + 0 74.534 * * [simplify]: Extracting #1: cost 4 inf + 0 74.534 * * [simplify]: Extracting #2: cost 9 inf + 0 74.534 * * [simplify]: Extracting #3: cost 44 inf + 0 74.535 * * [simplify]: Extracting #4: cost 131 inf + 2 74.536 * * [simplify]: Extracting #5: cost 173 inf + 262 74.539 * * [simplify]: Extracting #6: cost 128 inf + 5934 74.546 * * [simplify]: Extracting #7: cost 66 inf + 19018 74.562 * * [simplify]: Extracting #8: cost 7 inf + 63546 74.584 * * [simplify]: Extracting #9: cost 0 inf + 68180 74.595 * * [simplify]: Extracting #10: cost 0 inf + 67272 74.605 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 74.605 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))))) 74.605 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 74.605 * * [simplify]: iters left: 6 (15 enodes) 74.610 * * [simplify]: iters left: 5 (61 enodes) 74.622 * * [simplify]: iters left: 4 (95 enodes) 74.654 * * [simplify]: iters left: 3 (137 enodes) 74.698 * * [simplify]: iters left: 2 (222 enodes) 74.780 * * [simplify]: iters left: 1 (401 enodes) 74.973 * * [simplify]: Extracting #0: cost 1 inf + 0 74.974 * * [simplify]: Extracting #1: cost 4 inf + 0 74.974 * * [simplify]: Extracting #2: cost 9 inf + 0 74.974 * * [simplify]: Extracting #3: cost 44 inf + 0 74.975 * * [simplify]: Extracting #4: cost 131 inf + 2 74.976 * * [simplify]: Extracting #5: cost 173 inf + 262 74.979 * * [simplify]: Extracting #6: cost 128 inf + 5934 74.987 * * [simplify]: Extracting #7: cost 66 inf + 19018 75.004 * * [simplify]: Extracting #8: cost 7 inf + 63546 75.016 * * [simplify]: Extracting #9: cost 0 inf + 68180 75.027 * * [simplify]: Extracting #10: cost 0 inf + 67272 75.043 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 75.043 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))))) 75.043 * * * * [progress]: [ 138 / 189 ] simplifiying candidate # 75.043 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 75.044 * * [simplify]: iters left: 6 (16 enodes) 75.053 * * [simplify]: iters left: 5 (66 enodes) 75.064 * * [simplify]: iters left: 4 (106 enodes) 75.081 * * [simplify]: iters left: 3 (153 enodes) 75.107 * * [simplify]: iters left: 2 (239 enodes) 75.167 * * [simplify]: iters left: 1 (425 enodes) 75.321 * * [simplify]: Extracting #0: cost 1 inf + 0 75.321 * * [simplify]: Extracting #1: cost 7 inf + 0 75.321 * * [simplify]: Extracting #2: cost 13 inf + 1 75.321 * * [simplify]: Extracting #3: cost 43 inf + 1 75.322 * * [simplify]: Extracting #4: cost 125 inf + 44 75.323 * * [simplify]: Extracting #5: cost 159 inf + 1164 75.328 * * [simplify]: Extracting #6: cost 97 inf + 10838 75.339 * * [simplify]: Extracting #7: cost 35 inf + 35532 75.360 * * [simplify]: Extracting #8: cost 2 inf + 63280 75.383 * * [simplify]: Extracting #9: cost 0 inf + 62821 75.408 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 75.408 * [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 1) (sqrt (sqrt k)))))) 75.408 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 75.408 * * [simplify]: iters left: 6 (16 enodes) 75.418 * * [simplify]: iters left: 5 (66 enodes) 75.439 * * [simplify]: iters left: 4 (106 enodes) 75.472 * * [simplify]: iters left: 3 (153 enodes) 75.520 * * [simplify]: iters left: 2 (239 enodes) 75.609 * * [simplify]: iters left: 1 (425 enodes) 75.776 * * [simplify]: Extracting #0: cost 1 inf + 0 75.776 * * [simplify]: Extracting #1: cost 7 inf + 0 75.776 * * [simplify]: Extracting #2: cost 13 inf + 1 75.776 * * [simplify]: Extracting #3: cost 43 inf + 1 75.776 * * [simplify]: Extracting #4: cost 125 inf + 44 75.777 * * [simplify]: Extracting #5: cost 159 inf + 1164 75.780 * * [simplify]: Extracting #6: cost 97 inf + 10838 75.787 * * [simplify]: Extracting #7: cost 35 inf + 35532 75.808 * * [simplify]: Extracting #8: cost 2 inf + 63280 75.830 * * [simplify]: Extracting #9: cost 0 inf + 62821 75.852 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 75.852 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 75.853 * * * * [progress]: [ 139 / 189 ] simplifiying candidate # 75.853 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 75.853 * * [simplify]: iters left: 6 (16 enodes) 75.863 * * [simplify]: iters left: 5 (66 enodes) 75.884 * * [simplify]: iters left: 4 (106 enodes) 75.920 * * [simplify]: iters left: 3 (153 enodes) 75.956 * * [simplify]: iters left: 2 (239 enodes) 76.008 * * [simplify]: iters left: 1 (425 enodes) 76.180 * * [simplify]: Extracting #0: cost 1 inf + 0 76.180 * * [simplify]: Extracting #1: cost 7 inf + 0 76.180 * * [simplify]: Extracting #2: cost 13 inf + 1 76.181 * * [simplify]: Extracting #3: cost 43 inf + 1 76.181 * * [simplify]: Extracting #4: cost 125 inf + 44 76.183 * * [simplify]: Extracting #5: cost 159 inf + 1164 76.191 * * [simplify]: Extracting #6: cost 97 inf + 10838 76.203 * * [simplify]: Extracting #7: cost 35 inf + 35532 76.224 * * [simplify]: Extracting #8: cost 2 inf + 63280 76.247 * * [simplify]: Extracting #9: cost 0 inf + 62821 76.264 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 76.265 * [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 1) (sqrt (sqrt k)))))) 76.265 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 76.265 * * [simplify]: iters left: 6 (16 enodes) 76.270 * * [simplify]: iters left: 5 (66 enodes) 76.281 * * [simplify]: iters left: 4 (106 enodes) 76.308 * * [simplify]: iters left: 3 (153 enodes) 76.336 * * [simplify]: iters left: 2 (239 enodes) 76.395 * * [simplify]: iters left: 1 (425 enodes) 76.532 * * [simplify]: Extracting #0: cost 1 inf + 0 76.532 * * [simplify]: Extracting #1: cost 7 inf + 0 76.532 * * [simplify]: Extracting #2: cost 13 inf + 1 76.533 * * [simplify]: Extracting #3: cost 43 inf + 1 76.533 * * [simplify]: Extracting #4: cost 125 inf + 44 76.534 * * [simplify]: Extracting #5: cost 159 inf + 1164 76.536 * * [simplify]: Extracting #6: cost 97 inf + 10838 76.542 * * [simplify]: Extracting #7: cost 35 inf + 35532 76.558 * * [simplify]: Extracting #8: cost 2 inf + 63280 76.583 * * [simplify]: Extracting #9: cost 0 inf + 62821 76.603 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 76.603 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 76.603 * * * * [progress]: [ 140 / 189 ] simplifiying candidate # 76.603 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 76.603 * * [simplify]: iters left: 6 (15 enodes) 76.608 * * [simplify]: iters left: 5 (63 enodes) 76.618 * * [simplify]: iters left: 4 (101 enodes) 76.638 * * [simplify]: iters left: 3 (149 enodes) 76.687 * * [simplify]: iters left: 2 (232 enodes) 76.748 * * [simplify]: iters left: 1 (411 enodes) 77.323 * * [simplify]: Extracting #0: cost 1 inf + 0 77.323 * * [simplify]: Extracting #1: cost 7 inf + 0 77.323 * * [simplify]: Extracting #2: cost 13 inf + 1 77.323 * * [simplify]: Extracting #3: cost 46 inf + 1 77.323 * * [simplify]: Extracting #4: cost 134 inf + 3 77.324 * * [simplify]: Extracting #5: cost 159 inf + 1253 77.326 * * [simplify]: Extracting #6: cost 99 inf + 10848 77.332 * * [simplify]: Extracting #7: cost 38 inf + 36303 77.342 * * [simplify]: Extracting #8: cost 2 inf + 67342 77.361 * * [simplify]: Extracting #9: cost 0 inf + 66575 77.384 * * [simplify]: Extracting #10: cost 0 inf + 66535 77.405 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 77.405 * [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))) (/ 1 (sqrt (sqrt k)))))) 77.406 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 77.406 * * [simplify]: iters left: 6 (15 enodes) 77.410 * * [simplify]: iters left: 5 (63 enodes) 77.423 * * [simplify]: iters left: 4 (101 enodes) 77.439 * * [simplify]: iters left: 3 (149 enodes) 77.478 * * [simplify]: iters left: 2 (232 enodes) 77.535 * * [simplify]: iters left: 1 (411 enodes) 77.671 * * [simplify]: Extracting #0: cost 1 inf + 0 77.671 * * [simplify]: Extracting #1: cost 7 inf + 0 77.672 * * [simplify]: Extracting #2: cost 13 inf + 1 77.672 * * [simplify]: Extracting #3: cost 46 inf + 1 77.673 * * [simplify]: Extracting #4: cost 134 inf + 3 77.675 * * [simplify]: Extracting #5: cost 159 inf + 1253 77.679 * * [simplify]: Extracting #6: cost 99 inf + 10848 77.693 * * [simplify]: Extracting #7: cost 38 inf + 36303 77.717 * * [simplify]: Extracting #8: cost 2 inf + 67342 77.740 * * [simplify]: Extracting #9: cost 0 inf + 66575 77.755 * * [simplify]: Extracting #10: cost 0 inf + 66535 77.767 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 77.767 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 77.767 * * * * [progress]: [ 141 / 189 ] simplifiying candidate # 77.767 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 77.767 * * [simplify]: iters left: 6 (15 enodes) 77.776 * * [simplify]: iters left: 5 (63 enodes) 77.797 * * [simplify]: iters left: 4 (101 enodes) 77.828 * * [simplify]: iters left: 3 (149 enodes) 77.855 * * [simplify]: iters left: 2 (232 enodes) 77.913 * * [simplify]: iters left: 1 (411 enodes) 78.075 * * [simplify]: Extracting #0: cost 1 inf + 0 78.075 * * [simplify]: Extracting #1: cost 7 inf + 0 78.075 * * [simplify]: Extracting #2: cost 13 inf + 1 78.075 * * [simplify]: Extracting #3: cost 46 inf + 1 78.076 * * [simplify]: Extracting #4: cost 134 inf + 3 78.077 * * [simplify]: Extracting #5: cost 159 inf + 1253 78.079 * * [simplify]: Extracting #6: cost 99 inf + 10848 78.085 * * [simplify]: Extracting #7: cost 38 inf + 36303 78.095 * * [simplify]: Extracting #8: cost 2 inf + 67342 78.111 * * [simplify]: Extracting #9: cost 0 inf + 66575 78.129 * * [simplify]: Extracting #10: cost 0 inf + 66535 78.143 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 78.143 * [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))) (/ 1 (sqrt (sqrt k)))))) 78.143 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 78.143 * * [simplify]: iters left: 6 (15 enodes) 78.148 * * [simplify]: iters left: 5 (63 enodes) 78.164 * * [simplify]: iters left: 4 (101 enodes) 78.184 * * [simplify]: iters left: 3 (149 enodes) 78.214 * * [simplify]: iters left: 2 (232 enodes) 78.273 * * [simplify]: iters left: 1 (411 enodes) 78.416 * * [simplify]: Extracting #0: cost 1 inf + 0 78.416 * * [simplify]: Extracting #1: cost 7 inf + 0 78.416 * * [simplify]: Extracting #2: cost 13 inf + 1 78.416 * * [simplify]: Extracting #3: cost 46 inf + 1 78.416 * * [simplify]: Extracting #4: cost 134 inf + 3 78.417 * * [simplify]: Extracting #5: cost 159 inf + 1253 78.419 * * [simplify]: Extracting #6: cost 99 inf + 10848 78.425 * * [simplify]: Extracting #7: cost 38 inf + 36303 78.436 * * [simplify]: Extracting #8: cost 2 inf + 67342 78.459 * * [simplify]: Extracting #9: cost 0 inf + 66575 78.482 * * [simplify]: Extracting #10: cost 0 inf + 66535 78.505 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 78.505 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 78.505 * * * * [progress]: [ 142 / 189 ] simplifiying candidate # 78.505 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) 78.505 * * [simplify]: iters left: 6 (15 enodes) 78.514 * * [simplify]: iters left: 5 (64 enodes) 78.536 * * [simplify]: iters left: 4 (104 enodes) 78.570 * * [simplify]: iters left: 3 (170 enodes) 78.604 * * [simplify]: iters left: 2 (330 enodes) 78.687 * * [simplify]: Extracting #0: cost 1 inf + 0 78.687 * * [simplify]: Extracting #1: cost 26 inf + 0 78.687 * * [simplify]: Extracting #2: cost 91 inf + 0 78.687 * * [simplify]: Extracting #3: cost 147 inf + 2 78.688 * * [simplify]: Extracting #4: cost 160 inf + 181 78.689 * * [simplify]: Extracting #5: cost 159 inf + 724 78.691 * * [simplify]: Extracting #6: cost 102 inf + 8410 78.697 * * [simplify]: Extracting #7: cost 27 inf + 43833 78.707 * * [simplify]: Extracting #8: cost 0 inf + 64705 78.726 * * [simplify]: Extracting #9: cost 0 inf + 64336 78.745 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 78.746 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))))) 78.746 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) 78.746 * * [simplify]: iters left: 6 (15 enodes) 78.755 * * [simplify]: iters left: 5 (64 enodes) 78.776 * * [simplify]: iters left: 4 (104 enodes) 78.811 * * [simplify]: iters left: 3 (170 enodes) 78.857 * * [simplify]: iters left: 2 (330 enodes) 78.961 * * [simplify]: Extracting #0: cost 1 inf + 0 78.962 * * [simplify]: Extracting #1: cost 26 inf + 0 78.962 * * [simplify]: Extracting #2: cost 91 inf + 0 78.962 * * [simplify]: Extracting #3: cost 147 inf + 2 78.963 * * [simplify]: Extracting #4: cost 160 inf + 181 78.964 * * [simplify]: Extracting #5: cost 159 inf + 724 78.965 * * [simplify]: Extracting #6: cost 102 inf + 8410 78.971 * * [simplify]: Extracting #7: cost 27 inf + 43833 78.982 * * [simplify]: Extracting #8: cost 0 inf + 64705 78.996 * * [simplify]: Extracting #9: cost 0 inf + 64336 79.015 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 79.015 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))))) 79.016 * * * * [progress]: [ 143 / 189 ] simplifiying candidate # 79.016 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 79.016 * * [simplify]: iters left: 6 (16 enodes) 79.026 * * [simplify]: iters left: 5 (69 enodes) 79.049 * * [simplify]: iters left: 4 (113 enodes) 79.092 * * [simplify]: iters left: 3 (202 enodes) 79.170 * * [simplify]: iters left: 2 (404 enodes) 79.341 * * [simplify]: Extracting #0: cost 1 inf + 0 79.342 * * [simplify]: Extracting #1: cost 51 inf + 0 79.343 * * [simplify]: Extracting #2: cost 156 inf + 1 79.344 * * [simplify]: Extracting #3: cost 212 inf + 3 79.348 * * [simplify]: Extracting #4: cost 195 inf + 6100 79.369 * * [simplify]: Extracting #5: cost 60 inf + 74686 79.388 * * [simplify]: Extracting #6: cost 1 inf + 98062 79.415 * * [simplify]: Extracting #7: cost 0 inf + 95139 79.455 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 79.455 * [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 1) (sqrt (sqrt k)))))) 79.456 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 79.456 * * [simplify]: iters left: 6 (16 enodes) 79.466 * * [simplify]: iters left: 5 (69 enodes) 79.489 * * [simplify]: iters left: 4 (113 enodes) 79.528 * * [simplify]: iters left: 3 (202 enodes) 79.581 * * [simplify]: iters left: 2 (404 enodes) 79.682 * * [simplify]: Extracting #0: cost 1 inf + 0 79.682 * * [simplify]: Extracting #1: cost 51 inf + 0 79.683 * * [simplify]: Extracting #2: cost 156 inf + 1 79.684 * * [simplify]: Extracting #3: cost 212 inf + 3 79.686 * * [simplify]: Extracting #4: cost 195 inf + 6100 79.702 * * [simplify]: Extracting #5: cost 60 inf + 74686 79.741 * * [simplify]: Extracting #6: cost 1 inf + 98062 79.778 * * [simplify]: Extracting #7: cost 0 inf + 95139 79.813 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 79.813 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 79.813 * * * * [progress]: [ 144 / 189 ] simplifiying candidate # 79.814 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 79.814 * * [simplify]: iters left: 6 (16 enodes) 79.824 * * [simplify]: iters left: 5 (69 enodes) 79.846 * * [simplify]: iters left: 4 (113 enodes) 79.887 * * [simplify]: iters left: 3 (202 enodes) 79.934 * * [simplify]: iters left: 2 (404 enodes) 80.105 * * [simplify]: Extracting #0: cost 1 inf + 0 80.105 * * [simplify]: Extracting #1: cost 51 inf + 0 80.105 * * [simplify]: Extracting #2: cost 156 inf + 1 80.106 * * [simplify]: Extracting #3: cost 212 inf + 3 80.108 * * [simplify]: Extracting #4: cost 195 inf + 6100 80.118 * * [simplify]: Extracting #5: cost 60 inf + 74686 80.137 * * [simplify]: Extracting #6: cost 1 inf + 98062 80.156 * * [simplify]: Extracting #7: cost 0 inf + 95139 80.175 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 80.175 * [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 1) (sqrt (sqrt k)))))) 80.175 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 80.175 * * [simplify]: iters left: 6 (16 enodes) 80.184 * * [simplify]: iters left: 5 (69 enodes) 80.196 * * [simplify]: iters left: 4 (113 enodes) 80.225 * * [simplify]: iters left: 3 (202 enodes) 80.298 * * [simplify]: iters left: 2 (404 enodes) 80.457 * * [simplify]: Extracting #0: cost 1 inf + 0 80.458 * * [simplify]: Extracting #1: cost 51 inf + 0 80.458 * * [simplify]: Extracting #2: cost 156 inf + 1 80.459 * * [simplify]: Extracting #3: cost 212 inf + 3 80.461 * * [simplify]: Extracting #4: cost 195 inf + 6100 80.471 * * [simplify]: Extracting #5: cost 60 inf + 74686 80.503 * * [simplify]: Extracting #6: cost 1 inf + 98062 80.528 * * [simplify]: Extracting #7: cost 0 inf + 95139 80.547 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 80.547 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 80.547 * * * * [progress]: [ 145 / 189 ] simplifiying candidate # 80.547 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 80.547 * * [simplify]: iters left: 6 (15 enodes) 80.552 * * [simplify]: iters left: 5 (66 enodes) 80.564 * * [simplify]: iters left: 4 (112 enodes) 80.584 * * [simplify]: iters left: 3 (199 enodes) 80.638 * * [simplify]: iters left: 2 (401 enodes) 80.809 * * [simplify]: Extracting #0: cost 1 inf + 0 80.810 * * [simplify]: Extracting #1: cost 43 inf + 0 80.810 * * [simplify]: Extracting #2: cost 142 inf + 1 80.811 * * [simplify]: Extracting #3: cost 193 inf + 3 80.812 * * [simplify]: Extracting #4: cost 176 inf + 3199 80.815 * * [simplify]: Extracting #5: cost 132 inf + 10973 80.822 * * [simplify]: Extracting #6: cost 64 inf + 48271 80.841 * * [simplify]: Extracting #7: cost 8 inf + 91367 80.872 * * [simplify]: Extracting #8: cost 0 inf + 97180 80.905 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 80.905 * [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)) (/ 1 (sqrt (sqrt k)))))) 80.905 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 80.905 * * [simplify]: iters left: 6 (15 enodes) 80.910 * * [simplify]: iters left: 5 (66 enodes) 80.922 * * [simplify]: iters left: 4 (112 enodes) 80.951 * * [simplify]: iters left: 3 (199 enodes) 81.018 * * [simplify]: iters left: 2 (401 enodes) 81.180 * * [simplify]: Extracting #0: cost 1 inf + 0 81.180 * * [simplify]: Extracting #1: cost 43 inf + 0 81.181 * * [simplify]: Extracting #2: cost 142 inf + 1 81.182 * * [simplify]: Extracting #3: cost 193 inf + 3 81.183 * * [simplify]: Extracting #4: cost 176 inf + 3199 81.186 * * [simplify]: Extracting #5: cost 132 inf + 10973 81.196 * * [simplify]: Extracting #6: cost 64 inf + 48271 81.214 * * [simplify]: Extracting #7: cost 8 inf + 91367 81.232 * * [simplify]: Extracting #8: cost 0 inf + 97180 81.248 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 81.248 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 81.249 * * * * [progress]: [ 146 / 189 ] simplifiying candidate # 81.249 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 81.249 * * [simplify]: iters left: 6 (15 enodes) 81.258 * * [simplify]: iters left: 5 (66 enodes) 81.280 * * [simplify]: iters left: 4 (112 enodes) 81.302 * * [simplify]: iters left: 3 (199 enodes) 81.353 * * [simplify]: iters left: 2 (401 enodes) 81.514 * * [simplify]: Extracting #0: cost 1 inf + 0 81.514 * * [simplify]: Extracting #1: cost 43 inf + 0 81.515 * * [simplify]: Extracting #2: cost 142 inf + 1 81.516 * * [simplify]: Extracting #3: cost 193 inf + 3 81.519 * * [simplify]: Extracting #4: cost 176 inf + 3199 81.524 * * [simplify]: Extracting #5: cost 132 inf + 10973 81.538 * * [simplify]: Extracting #6: cost 64 inf + 48271 81.564 * * [simplify]: Extracting #7: cost 8 inf + 91367 81.597 * * [simplify]: Extracting #8: cost 0 inf + 97180 81.616 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 81.616 * [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)) (/ 1 (sqrt (sqrt k)))))) 81.616 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 81.617 * * [simplify]: iters left: 6 (15 enodes) 81.621 * * [simplify]: iters left: 5 (66 enodes) 81.634 * * [simplify]: iters left: 4 (112 enodes) 81.655 * * [simplify]: iters left: 3 (199 enodes) 81.701 * * [simplify]: iters left: 2 (401 enodes) 81.861 * * [simplify]: Extracting #0: cost 1 inf + 0 81.861 * * [simplify]: Extracting #1: cost 43 inf + 0 81.862 * * [simplify]: Extracting #2: cost 142 inf + 1 81.863 * * [simplify]: Extracting #3: cost 193 inf + 3 81.866 * * [simplify]: Extracting #4: cost 176 inf + 3199 81.871 * * [simplify]: Extracting #5: cost 132 inf + 10973 81.884 * * [simplify]: Extracting #6: cost 64 inf + 48271 81.910 * * [simplify]: Extracting #7: cost 8 inf + 91367 81.942 * * [simplify]: Extracting #8: cost 0 inf + 97180 81.972 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 81.972 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 81.973 * * * * [progress]: [ 147 / 189 ] simplifiying candidate # 81.973 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) 81.973 * * [simplify]: iters left: 6 (15 enodes) 81.982 * * [simplify]: iters left: 5 (63 enodes) 82.003 * * [simplify]: iters left: 4 (109 enodes) 82.042 * * [simplify]: iters left: 3 (183 enodes) 82.091 * * [simplify]: iters left: 2 (386 enodes) 82.252 * * [simplify]: Extracting #0: cost 1 inf + 0 82.252 * * [simplify]: Extracting #1: cost 60 inf + 0 82.252 * * [simplify]: Extracting #2: cost 190 inf + 0 82.253 * * [simplify]: Extracting #3: cost 237 inf + 2 82.254 * * [simplify]: Extracting #4: cost 243 inf + 222 82.256 * * [simplify]: Extracting #5: cost 221 inf + 3233 82.261 * * [simplify]: Extracting #6: cost 121 inf + 43776 82.297 * * [simplify]: Extracting #7: cost 6 inf + 137020 82.319 * * [simplify]: Extracting #8: cost 0 inf + 141578 82.362 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) 82.362 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (cbrt (/ 1 (sqrt k))))) 82.363 * * * * [progress]: [ 148 / 189 ] simplifiying candidate # 82.363 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k)))) 82.363 * * [simplify]: iters left: 6 (14 enodes) 82.371 * * [simplify]: iters left: 5 (58 enodes) 82.390 * * [simplify]: iters left: 4 (95 enodes) 82.423 * * [simplify]: iters left: 3 (146 enodes) 82.457 * * [simplify]: iters left: 2 (265 enodes) 82.538 * * [simplify]: Extracting #0: cost 1 inf + 0 82.538 * * [simplify]: Extracting #1: cost 41 inf + 0 82.538 * * [simplify]: Extracting #2: cost 116 inf + 0 82.539 * * [simplify]: Extracting #3: cost 160 inf + 2 82.541 * * [simplify]: Extracting #4: cost 166 inf + 221 82.542 * * [simplify]: Extracting #5: cost 159 inf + 804 82.547 * * [simplify]: Extracting #6: cost 105 inf + 11535 82.555 * * [simplify]: Extracting #7: cost 25 inf + 61723 82.566 * * [simplify]: Extracting #8: cost 0 inf + 81786 82.581 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k)))) 82.581 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k)))) (sqrt (/ 1 (sqrt k))))) 82.581 * * * * [progress]: [ 149 / 189 ] simplifiying candidate # 82.582 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 82.582 * * [simplify]: iters left: 6 (17 enodes) 82.594 * * [simplify]: iters left: 5 (75 enodes) 82.609 * * [simplify]: iters left: 4 (123 enodes) 82.638 * * [simplify]: iters left: 3 (257 enodes) 82.790 * * [simplify]: Extracting #0: cost 1 inf + 0 82.790 * * [simplify]: Extracting #1: cost 40 inf + 0 82.790 * * [simplify]: Extracting #2: cost 99 inf + 1 82.791 * * [simplify]: Extracting #3: cost 133 inf + 2 82.792 * * [simplify]: Extracting #4: cost 129 inf + 553 82.794 * * [simplify]: Extracting #5: cost 64 inf + 18363 82.802 * * [simplify]: Extracting #6: cost 2 inf + 52716 82.810 * * [simplify]: Extracting #7: cost 0 inf + 54701 82.818 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 82.818 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k))))) 82.818 * * * * [progress]: [ 150 / 189 ] simplifiying candidate # 82.818 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))) 82.818 * * [simplify]: iters left: 6 (17 enodes) 82.832 * * [simplify]: iters left: 5 (72 enodes) 82.855 * * [simplify]: iters left: 4 (109 enodes) 82.888 * * [simplify]: iters left: 3 (173 enodes) 82.951 * * [simplify]: iters left: 2 (319 enodes) 83.047 * * [simplify]: Extracting #0: cost 1 inf + 0 83.047 * * [simplify]: Extracting #1: cost 45 inf + 0 83.048 * * [simplify]: Extracting #2: cost 134 inf + 1 83.050 * * [simplify]: Extracting #3: cost 180 inf + 3 83.051 * * [simplify]: Extracting #4: cost 179 inf + 1180 83.055 * * [simplify]: Extracting #5: cost 140 inf + 6195 83.062 * * [simplify]: Extracting #6: cost 99 inf + 20103 83.080 * * [simplify]: Extracting #7: cost 24 inf + 73724 83.105 * * [simplify]: Extracting #8: cost 1 inf + 93380 83.131 * * [simplify]: Extracting #9: cost 0 inf + 93381 83.157 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (fabs (cbrt k))) 83.157 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k))))) 83.158 * * * * [progress]: [ 151 / 189 ] simplifiying candidate # 83.158 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) 83.158 * * [simplify]: iters left: 6 (16 enodes) 83.167 * * [simplify]: iters left: 5 (68 enodes) 83.182 * * [simplify]: iters left: 4 (105 enodes) 83.198 * * [simplify]: iters left: 3 (170 enodes) 83.230 * * [simplify]: iters left: 2 (314 enodes) 83.338 * * [simplify]: Extracting #0: cost 1 inf + 0 83.338 * * [simplify]: Extracting #1: cost 40 inf + 0 83.339 * * [simplify]: Extracting #2: cost 127 inf + 1 83.340 * * [simplify]: Extracting #3: cost 172 inf + 3 83.340 * * [simplify]: Extracting #4: cost 174 inf + 388 83.342 * * [simplify]: Extracting #5: cost 133 inf + 5670 83.349 * * [simplify]: Extracting #6: cost 62 inf + 38216 83.366 * * [simplify]: Extracting #7: cost 9 inf + 76393 83.391 * * [simplify]: Extracting #8: cost 0 inf + 82140 83.415 * * [simplify]: Extracting #9: cost 0 inf + 81930 83.439 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 83.439 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k))))) 83.439 * * * * [progress]: [ 152 / 189 ] simplifiying candidate # 83.440 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) 83.440 * * [simplify]: iters left: 6 (15 enodes) 83.455 * * [simplify]: iters left: 5 (65 enodes) 83.475 * * [simplify]: iters left: 4 (98 enodes) 83.507 * * [simplify]: iters left: 3 (145 enodes) 83.550 * * [simplify]: iters left: 2 (255 enodes) 83.616 * * [simplify]: Extracting #0: cost 1 inf + 0 83.616 * * [simplify]: Extracting #1: cost 25 inf + 0 83.617 * * [simplify]: Extracting #2: cost 92 inf + 2 83.618 * * [simplify]: Extracting #3: cost 124 inf + 174 83.619 * * [simplify]: Extracting #4: cost 120 inf + 431 83.620 * * [simplify]: Extracting #5: cost 101 inf + 1713 83.624 * * [simplify]: Extracting #6: cost 50 inf + 14679 83.634 * * [simplify]: Extracting #7: cost 2 inf + 43070 83.640 * * [simplify]: Extracting #8: cost 0 inf + 44314 83.647 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 83.647 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (cbrt 1) (sqrt k)))) 83.647 * * * * [progress]: [ 153 / 189 ] simplifiying candidate # 83.647 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) 83.647 * * [simplify]: iters left: 6 (16 enodes) 83.653 * * [simplify]: iters left: 5 (68 enodes) 83.667 * * [simplify]: iters left: 4 (105 enodes) 83.703 * * [simplify]: iters left: 3 (170 enodes) 83.739 * * [simplify]: iters left: 2 (314 enodes) 83.879 * * [simplify]: Extracting #0: cost 1 inf + 0 83.880 * * [simplify]: Extracting #1: cost 40 inf + 0 83.880 * * [simplify]: Extracting #2: cost 127 inf + 1 83.881 * * [simplify]: Extracting #3: cost 172 inf + 3 83.881 * * [simplify]: Extracting #4: cost 174 inf + 388 83.883 * * [simplify]: Extracting #5: cost 133 inf + 5670 83.887 * * [simplify]: Extracting #6: cost 62 inf + 38216 83.897 * * [simplify]: Extracting #7: cost 9 inf + 76393 83.914 * * [simplify]: Extracting #8: cost 0 inf + 82140 83.938 * * [simplify]: Extracting #9: cost 0 inf + 81930 83.962 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 83.962 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k))))) 83.963 * * * * [progress]: [ 154 / 189 ] simplifiying candidate # 83.963 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) 1)) 83.963 * * [simplify]: iters left: 6 (14 enodes) 83.975 * * [simplify]: iters left: 5 (60 enodes) 83.987 * * [simplify]: iters left: 4 (93 enodes) 84.001 * * [simplify]: iters left: 3 (140 enodes) 84.041 * * [simplify]: iters left: 2 (249 enodes) 84.122 * * [simplify]: Extracting #0: cost 1 inf + 0 84.123 * * [simplify]: Extracting #1: cost 28 inf + 0 84.123 * * [simplify]: Extracting #2: cost 96 inf + 2 84.124 * * [simplify]: Extracting #3: cost 127 inf + 174 84.126 * * [simplify]: Extracting #4: cost 124 inf + 389 84.128 * * [simplify]: Extracting #5: cost 88 inf + 4892 84.136 * * [simplify]: Extracting #6: cost 32 inf + 26027 84.150 * * [simplify]: Extracting #7: cost 0 inf + 48352 84.162 * * [simplify]: Extracting #8: cost 0 inf + 47088 84.169 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 84.169 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ (cbrt 1) (sqrt k)))) 84.169 * * * * [progress]: [ 155 / 189 ] simplifiying candidate # 84.169 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 84.169 * * [simplify]: iters left: 6 (16 enodes) 84.174 * * [simplify]: iters left: 5 (68 enodes) 84.186 * * [simplify]: iters left: 4 (123 enodes) 84.228 * * [simplify]: iters left: 3 (245 enodes) 84.354 * * [simplify]: Extracting #0: cost 1 inf + 0 84.354 * * [simplify]: Extracting #1: cost 41 inf + 0 84.355 * * [simplify]: Extracting #2: cost 98 inf + 1 84.355 * * [simplify]: Extracting #3: cost 132 inf + 2 84.356 * * [simplify]: Extracting #4: cost 128 inf + 679 84.361 * * [simplify]: Extracting #5: cost 63 inf + 19384 84.375 * * [simplify]: Extracting #6: cost 7 inf + 46275 84.394 * * [simplify]: Extracting #7: cost 0 inf + 51378 84.411 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 84.411 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k))))) 84.412 * * * * [progress]: [ 156 / 189 ] simplifiying candidate # 84.412 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))) 84.412 * * [simplify]: iters left: 6 (16 enodes) 84.422 * * [simplify]: iters left: 5 (67 enodes) 84.442 * * [simplify]: iters left: 4 (108 enodes) 84.474 * * [simplify]: iters left: 3 (180 enodes) 84.510 * * [simplify]: iters left: 2 (338 enodes) 84.658 * * [simplify]: Extracting #0: cost 1 inf + 0 84.659 * * [simplify]: Extracting #1: cost 49 inf + 0 84.660 * * [simplify]: Extracting #2: cost 150 inf + 1 84.661 * * [simplify]: Extracting #3: cost 196 inf + 3 84.663 * * [simplify]: Extracting #4: cost 171 inf + 6049 84.673 * * [simplify]: Extracting #5: cost 93 inf + 34674 84.691 * * [simplify]: Extracting #6: cost 13 inf + 91495 84.709 * * [simplify]: Extracting #7: cost 0 inf + 102030 84.733 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) 84.733 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k))))) 84.733 * * * * [progress]: [ 157 / 189 ] simplifiying candidate # 84.733 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 84.733 * * [simplify]: iters left: 6 (15 enodes) 84.739 * * [simplify]: iters left: 5 (63 enodes) 84.752 * * [simplify]: iters left: 4 (104 enodes) 84.780 * * [simplify]: iters left: 3 (172 enodes) 84.815 * * [simplify]: iters left: 2 (329 enodes) 84.925 * * [simplify]: Extracting #0: cost 1 inf + 0 84.925 * * [simplify]: Extracting #1: cost 47 inf + 0 84.925 * * [simplify]: Extracting #2: cost 142 inf + 1 84.926 * * [simplify]: Extracting #3: cost 187 inf + 3 84.927 * * [simplify]: Extracting #4: cost 164 inf + 4688 84.932 * * [simplify]: Extracting #5: cost 84 inf + 35416 84.944 * * [simplify]: Extracting #6: cost 6 inf + 91327 84.970 * * [simplify]: Extracting #7: cost 0 inf + 95967 85.002 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 85.002 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k))))) 85.002 * * * * [progress]: [ 158 / 189 ] simplifiying candidate # 85.002 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt 1))) 85.002 * * [simplify]: iters left: 6 (13 enodes) 85.012 * * [simplify]: iters left: 5 (53 enodes) 85.029 * * [simplify]: iters left: 4 (88 enodes) 85.055 * * [simplify]: iters left: 3 (131 enodes) 85.098 * * [simplify]: iters left: 2 (220 enodes) 85.179 * * [simplify]: iters left: 1 (419 enodes) 85.350 * * [simplify]: Extracting #0: cost 1 inf + 0 85.350 * * [simplify]: Extracting #1: cost 25 inf + 0 85.350 * * [simplify]: Extracting #2: cost 111 inf + 2 85.352 * * [simplify]: Extracting #3: cost 170 inf + 176 85.354 * * [simplify]: Extracting #4: cost 165 inf + 767 85.359 * * [simplify]: Extracting #5: cost 90 inf + 12296 85.376 * * [simplify]: Extracting #6: cost 10 inf + 54187 85.398 * * [simplify]: Extracting #7: cost 0 inf + 60799 85.423 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 85.424 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt k)))) 85.424 * * * * [progress]: [ 159 / 189 ] simplifiying candidate # 85.424 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 85.424 * * [simplify]: iters left: 6 (15 enodes) 85.434 * * [simplify]: iters left: 5 (63 enodes) 85.445 * * [simplify]: iters left: 4 (104 enodes) 85.462 * * [simplify]: iters left: 3 (172 enodes) 85.523 * * [simplify]: iters left: 2 (329 enodes) 85.630 * * [simplify]: Extracting #0: cost 1 inf + 0 85.631 * * [simplify]: Extracting #1: cost 47 inf + 0 85.632 * * [simplify]: Extracting #2: cost 142 inf + 1 85.633 * * [simplify]: Extracting #3: cost 187 inf + 3 85.635 * * [simplify]: Extracting #4: cost 164 inf + 4688 85.644 * * [simplify]: Extracting #5: cost 84 inf + 35416 85.669 * * [simplify]: Extracting #6: cost 6 inf + 91327 85.697 * * [simplify]: Extracting #7: cost 0 inf + 95967 85.716 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 85.716 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k))))) 85.716 * * * * [progress]: [ 160 / 189 ] simplifiying candidate # 85.717 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) 85.717 * * [simplify]: iters left: 6 (13 enodes) 85.725 * * [simplify]: iters left: 5 (55 enodes) 85.734 * * [simplify]: iters left: 4 (88 enodes) 85.762 * * [simplify]: iters left: 3 (139 enodes) 85.810 * * [simplify]: iters left: 2 (252 enodes) 85.920 * * [simplify]: Extracting #0: cost 1 inf + 0 85.920 * * [simplify]: Extracting #1: cost 28 inf + 0 85.920 * * [simplify]: Extracting #2: cost 101 inf + 2 85.921 * * [simplify]: Extracting #3: cost 133 inf + 174 85.922 * * [simplify]: Extracting #4: cost 126 inf + 679 85.925 * * [simplify]: Extracting #5: cost 85 inf + 5638 85.931 * * [simplify]: Extracting #6: cost 44 inf + 19678 85.943 * * [simplify]: Extracting #7: cost 3 inf + 48036 85.956 * * [simplify]: Extracting #8: cost 0 inf + 49308 85.963 * * [simplify]: Extracting #9: cost 0 inf + 49046 85.970 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 85.970 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt k)))) 85.970 * * * * [progress]: [ 161 / 189 ] simplifiying candidate # 85.971 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 85.971 * * [simplify]: iters left: 6 (15 enodes) 85.978 * * [simplify]: iters left: 5 (65 enodes) 85.994 * * [simplify]: iters left: 4 (116 enodes) 86.035 * * [simplify]: iters left: 3 (215 enodes) 86.114 * * [simplify]: iters left: 2 (463 enodes) 86.336 * * [simplify]: Extracting #0: cost 1 inf + 0 86.337 * * [simplify]: Extracting #1: cost 66 inf + 0 86.338 * * [simplify]: Extracting #2: cost 247 inf + 1 86.341 * * [simplify]: Extracting #3: cost 310 inf + 3 86.344 * * [simplify]: Extracting #4: cost 294 inf + 2774 86.358 * * [simplify]: Extracting #5: cost 175 inf + 50818 86.398 * * [simplify]: Extracting #6: cost 25 inf + 161993 86.446 * * [simplify]: Extracting #7: cost 0 inf + 184613 86.473 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 86.473 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k))))) 86.473 * * * * [progress]: [ 162 / 189 ] simplifiying candidate # 86.473 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) 86.473 * * [simplify]: iters left: 6 (15 enodes) 86.478 * * [simplify]: iters left: 5 (64 enodes) 86.489 * * [simplify]: iters left: 4 (107 enodes) 86.508 * * [simplify]: iters left: 3 (174 enodes) 86.559 * * [simplify]: iters left: 2 (330 enodes) 86.695 * * [simplify]: Extracting #0: cost 1 inf + 0 86.695 * * [simplify]: Extracting #1: cost 43 inf + 0 86.696 * * [simplify]: Extracting #2: cost 135 inf + 1 86.697 * * [simplify]: Extracting #3: cost 181 inf + 3 86.700 * * [simplify]: Extracting #4: cost 155 inf + 7404 86.721 * * [simplify]: Extracting #5: cost 47 inf + 57333 86.748 * * [simplify]: Extracting #6: cost 1 inf + 84608 86.776 * * [simplify]: Extracting #7: cost 0 inf + 83938 86.798 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) 86.798 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) (/ 1 (sqrt (cbrt k))))) 86.798 * * * * [progress]: [ 163 / 189 ] simplifiying candidate # 86.799 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) 86.799 * * [simplify]: iters left: 6 (14 enodes) 86.803 * * [simplify]: iters left: 5 (60 enodes) 86.813 * * [simplify]: iters left: 4 (103 enodes) 86.839 * * [simplify]: iters left: 3 (170 enodes) 86.884 * * [simplify]: iters left: 2 (328 enodes) 87.033 * * [simplify]: Extracting #0: cost 1 inf + 0 87.033 * * [simplify]: Extracting #1: cost 42 inf + 0 87.037 * * [simplify]: Extracting #2: cost 131 inf + 1 87.037 * * [simplify]: Extracting #3: cost 176 inf + 3 87.038 * * [simplify]: Extracting #4: cost 176 inf + 764 87.040 * * [simplify]: Extracting #5: cost 127 inf + 8834 87.048 * * [simplify]: Extracting #6: cost 37 inf + 57669 87.066 * * [simplify]: Extracting #7: cost 0 inf + 88650 87.080 * * [simplify]: Extracting #8: cost 0 inf + 88330 87.097 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 87.097 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))) 87.097 * * * * [progress]: [ 164 / 189 ] simplifiying candidate # 87.098 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt 1))) 87.098 * * [simplify]: iters left: 6 (13 enodes) 87.109 * * [simplify]: iters left: 5 (57 enodes) 87.127 * * [simplify]: iters left: 4 (92 enodes) 87.146 * * [simplify]: iters left: 3 (143 enodes) 87.185 * * [simplify]: iters left: 2 (257 enodes) 87.271 * * [simplify]: Extracting #0: cost 1 inf + 0 87.272 * * [simplify]: Extracting #1: cost 25 inf + 0 87.272 * * [simplify]: Extracting #2: cost 96 inf + 2 87.273 * * [simplify]: Extracting #3: cost 126 inf + 216 87.274 * * [simplify]: Extracting #4: cost 119 inf + 679 87.277 * * [simplify]: Extracting #5: cost 74 inf + 8575 87.284 * * [simplify]: Extracting #6: cost 28 inf + 27383 87.290 * * [simplify]: Extracting #7: cost 1 inf + 45138 87.297 * * [simplify]: Extracting #8: cost 0 inf + 46177 87.304 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 87.304 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 87.304 * * * * [progress]: [ 165 / 189 ] simplifiying candidate # 87.305 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) 87.305 * * [simplify]: iters left: 6 (14 enodes) 87.309 * * [simplify]: iters left: 5 (60 enodes) 87.326 * * [simplify]: iters left: 4 (103 enodes) 87.356 * * [simplify]: iters left: 3 (170 enodes) 87.401 * * [simplify]: iters left: 2 (328 enodes) 87.534 * * [simplify]: Extracting #0: cost 1 inf + 0 87.534 * * [simplify]: Extracting #1: cost 42 inf + 0 87.535 * * [simplify]: Extracting #2: cost 131 inf + 1 87.536 * * [simplify]: Extracting #3: cost 176 inf + 3 87.537 * * [simplify]: Extracting #4: cost 176 inf + 764 87.541 * * [simplify]: Extracting #5: cost 127 inf + 8834 87.552 * * [simplify]: Extracting #6: cost 37 inf + 57669 87.566 * * [simplify]: Extracting #7: cost 0 inf + 88650 87.581 * * [simplify]: Extracting #8: cost 0 inf + 88330 87.595 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 87.595 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))) 87.595 * * * * [progress]: [ 166 / 189 ] simplifiying candidate # 87.595 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 1)) 87.595 * * [simplify]: iters left: 6 (12 enodes) 87.599 * * [simplify]: iters left: 5 (50 enodes) 87.616 * * [simplify]: iters left: 4 (85 enodes) 87.639 * * [simplify]: iters left: 3 (131 enodes) 87.663 * * [simplify]: iters left: 2 (225 enodes) 87.722 * * [simplify]: iters left: 1 (427 enodes) 87.937 * * [simplify]: Extracting #0: cost 1 inf + 0 87.937 * * [simplify]: Extracting #1: cost 26 inf + 0 87.938 * * [simplify]: Extracting #2: cost 118 inf + 2 87.940 * * [simplify]: Extracting #3: cost 168 inf + 218 87.942 * * [simplify]: Extracting #4: cost 164 inf + 808 87.946 * * [simplify]: Extracting #5: cost 98 inf + 9885 87.963 * * [simplify]: Extracting #6: cost 17 inf + 53705 87.986 * * [simplify]: Extracting #7: cost 0 inf + 66064 88.009 * * [simplify]: Extracting #8: cost 0 inf + 65984 88.036 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 88.036 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 88.037 * * * * [progress]: [ 167 / 189 ] simplifiying candidate # 88.037 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) 88.037 * * [simplify]: iters left: 6 (11 enodes) 88.043 * * [simplify]: iters left: 5 (47 enodes) 88.059 * * [simplify]: iters left: 4 (82 enodes) 88.086 * * [simplify]: iters left: 3 (129 enodes) 88.120 * * [simplify]: iters left: 2 (240 enodes) 88.203 * * [simplify]: iters left: 1 (464 enodes) 88.438 * * [simplify]: Extracting #0: cost 1 inf + 0 88.438 * * [simplify]: Extracting #1: cost 25 inf + 0 88.439 * * [simplify]: Extracting #2: cost 120 inf + 2 88.440 * * [simplify]: Extracting #3: cost 180 inf + 176 88.441 * * [simplify]: Extracting #4: cost 169 inf + 1182 88.443 * * [simplify]: Extracting #5: cost 88 inf + 13164 88.451 * * [simplify]: Extracting #6: cost 25 inf + 49179 88.469 * * [simplify]: Extracting #7: cost 0 inf + 72703 88.481 * * [simplify]: Extracting #8: cost 0 inf + 72582 88.493 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/2 (- 1 k))) 88.493 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/2 (- 1 k))) (/ 1 (sqrt k)))) 88.493 * * * * [progress]: [ 168 / 189 ] simplifiying candidate # 88.493 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) 88.494 * * [simplify]: iters left: 6 (11 enodes) 88.498 * * [simplify]: iters left: 5 (47 enodes) 88.514 * * [simplify]: iters left: 4 (82 enodes) 88.544 * * [simplify]: iters left: 3 (129 enodes) 88.570 * * [simplify]: iters left: 2 (240 enodes) 88.636 * * [simplify]: iters left: 1 (464 enodes) 88.888 * * [simplify]: Extracting #0: cost 1 inf + 0 88.888 * * [simplify]: Extracting #1: cost 25 inf + 0 88.889 * * [simplify]: Extracting #2: cost 120 inf + 2 88.890 * * [simplify]: Extracting #3: cost 180 inf + 176 88.892 * * [simplify]: Extracting #4: cost 169 inf + 1182 88.902 * * [simplify]: Extracting #5: cost 88 inf + 13164 88.917 * * [simplify]: Extracting #6: cost 25 inf + 49179 88.941 * * [simplify]: Extracting #7: cost 0 inf + 72703 88.956 * * [simplify]: Extracting #8: cost 0 inf + 72582 88.968 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/2 (- 1 k))) 88.968 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/2 (- 1 k))) (/ 1 (sqrt k)))) 88.968 * * * * [progress]: [ 169 / 189 ] simplifiying candidate # 88.969 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ 1 (sqrt k))) 88.969 * * [simplify]: iters left: 6 (11 enodes) 88.972 * * [simplify]: iters left: 5 (48 enodes) 88.981 * * [simplify]: iters left: 4 (79 enodes) 89.002 * * [simplify]: iters left: 3 (145 enodes) 89.071 * * [simplify]: iters left: 2 (322 enodes) 89.178 * * [simplify]: Extracting #0: cost 1 inf + 0 89.178 * * [simplify]: Extracting #1: cost 42 inf + 0 89.179 * * [simplify]: Extracting #2: cost 133 inf + 1 89.181 * * [simplify]: Extracting #3: cost 173 inf + 127 89.182 * * [simplify]: Extracting #4: cost 168 inf + 1092 89.190 * * [simplify]: Extracting #5: cost 127 inf + 8517 89.199 * * [simplify]: Extracting #6: cost 63 inf + 33229 89.215 * * [simplify]: Extracting #7: cost 15 inf + 67534 89.226 * * [simplify]: Extracting #8: cost 0 inf + 79229 89.238 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 89.238 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 89.238 * * * * [progress]: [ 170 / 189 ] simplifiying candidate # 89.238 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k))) 89.238 * * [simplify]: iters left: 6 (14 enodes) 89.243 * * [simplify]: iters left: 5 (60 enodes) 89.253 * * [simplify]: iters left: 4 (97 enodes) 89.268 * * [simplify]: iters left: 3 (145 enodes) 89.315 * * [simplify]: iters left: 2 (227 enodes) 89.397 * * [simplify]: iters left: 1 (413 enodes) 89.603 * * [simplify]: Extracting #0: cost 1 inf + 0 89.603 * * [simplify]: Extracting #1: cost 7 inf + 0 89.603 * * [simplify]: Extracting #2: cost 12 inf + 1 89.603 * * [simplify]: Extracting #3: cost 39 inf + 43 89.603 * * [simplify]: Extracting #4: cost 114 inf + 167 89.604 * * [simplify]: Extracting #5: cost 168 inf + 548 89.607 * * [simplify]: Extracting #6: cost 107 inf + 15069 89.616 * * [simplify]: Extracting #7: cost 12 inf + 64051 89.627 * * [simplify]: Extracting #8: cost 2 inf + 67444 89.645 * * [simplify]: Extracting #9: cost 0 inf + 68143 89.671 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 89.671 * [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 (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 89.671 * * * * [progress]: [ 171 / 189 ] simplifiying candidate # 89.672 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k))) 89.672 * * [simplify]: iters left: 6 (14 enodes) 89.680 * * [simplify]: iters left: 5 (60 enodes) 89.700 * * [simplify]: iters left: 4 (98 enodes) 89.731 * * [simplify]: iters left: 3 (146 enodes) 89.777 * * [simplify]: iters left: 2 (229 enodes) 89.835 * * [simplify]: iters left: 1 (410 enodes) 89.979 * * [simplify]: Extracting #0: cost 1 inf + 0 89.980 * * [simplify]: Extracting #1: cost 7 inf + 0 89.980 * * [simplify]: Extracting #2: cost 13 inf + 1 89.980 * * [simplify]: Extracting #3: cost 42 inf + 43 89.981 * * [simplify]: Extracting #4: cost 126 inf + 167 89.982 * * [simplify]: Extracting #5: cost 153 inf + 1002 89.986 * * [simplify]: Extracting #6: cost 105 inf + 6706 89.993 * * [simplify]: Extracting #7: cost 55 inf + 21395 90.011 * * [simplify]: Extracting #8: cost 2 inf + 65624 90.033 * * [simplify]: Extracting #9: cost 0 inf + 65219 90.054 * * [simplify]: Extracting #10: cost 0 inf + 64324 90.069 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 90.069 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 90.069 * * * * [progress]: [ 172 / 189 ] simplifiying candidate # 90.069 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))) 90.070 * * [simplify]: iters left: 6 (13 enodes) 90.074 * * [simplify]: iters left: 5 (57 enodes) 90.084 * * [simplify]: iters left: 4 (100 enodes) 90.108 * * [simplify]: iters left: 3 (167 enodes) 90.174 * * [simplify]: iters left: 2 (325 enodes) 90.343 * * [simplify]: Extracting #0: cost 1 inf + 0 90.344 * * [simplify]: Extracting #1: cost 44 inf + 0 90.344 * * [simplify]: Extracting #2: cost 129 inf + 1 90.346 * * [simplify]: Extracting #3: cost 172 inf + 4 90.347 * * [simplify]: Extracting #4: cost 170 inf + 968 90.351 * * [simplify]: Extracting #5: cost 129 inf + 6676 90.358 * * [simplify]: Extracting #6: cost 40 inf + 53524 90.371 * * [simplify]: Extracting #7: cost 1 inf + 80619 90.384 * * [simplify]: Extracting #8: cost 0 inf + 80594 90.397 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 90.397 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 90.397 * * * * [progress]: [ 173 / 189 ] simplifiying candidate # 90.397 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt k))) 90.397 * * [simplify]: iters left: 6 (14 enodes) 90.402 * * [simplify]: iters left: 5 (63 enodes) 90.421 * * [simplify]: iters left: 4 (109 enodes) 90.444 * * [simplify]: iters left: 3 (192 enodes) 90.520 * * [simplify]: iters left: 2 (392 enodes) 90.663 * * [simplify]: Extracting #0: cost 1 inf + 0 90.663 * * [simplify]: Extracting #1: cost 44 inf + 0 90.664 * * [simplify]: Extracting #2: cost 134 inf + 1 90.665 * * [simplify]: Extracting #3: cost 185 inf + 4 90.668 * * [simplify]: Extracting #4: cost 170 inf + 4249 90.676 * * [simplify]: Extracting #5: cost 102 inf + 21880 90.695 * * [simplify]: Extracting #6: cost 23 inf + 70536 90.723 * * [simplify]: Extracting #7: cost 0 inf + 88012 90.756 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 90.756 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 90.756 * * * * [progress]: [ 174 / 189 ] simplifiying candidate # 90.756 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) 90.757 * * [simplify]: iters left: 6 (11 enodes) 90.763 * * [simplify]: iters left: 5 (47 enodes) 90.778 * * [simplify]: iters left: 4 (82 enodes) 90.792 * * [simplify]: iters left: 3 (129 enodes) 90.825 * * [simplify]: iters left: 2 (240 enodes) 90.900 * * [simplify]: iters left: 1 (464 enodes) 91.129 * * [simplify]: Extracting #0: cost 1 inf + 0 91.129 * * [simplify]: Extracting #1: cost 25 inf + 0 91.130 * * [simplify]: Extracting #2: cost 120 inf + 2 91.131 * * [simplify]: Extracting #3: cost 180 inf + 176 91.132 * * [simplify]: Extracting #4: cost 169 inf + 1182 91.135 * * [simplify]: Extracting #5: cost 88 inf + 13164 91.142 * * [simplify]: Extracting #6: cost 25 inf + 49179 91.155 * * [simplify]: Extracting #7: cost 0 inf + 72703 91.167 * * [simplify]: Extracting #8: cost 0 inf + 72582 91.179 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/2 (- 1 k))) 91.179 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1/2 (- 1 k))) (sqrt k))) 91.179 * * * * [progress]: [ 175 / 189 ] simplifiying candidate # 91.179 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (/ 1 (sqrt k))) 91.179 * * [simplify]: iters left: 6 (12 enodes) 91.184 * * [simplify]: iters left: 5 (50 enodes) 91.194 * * [simplify]: iters left: 4 (88 enodes) 91.217 * * [simplify]: iters left: 3 (169 enodes) 91.267 * * [simplify]: iters left: 2 (293 enodes) 91.443 * * [simplify]: Extracting #0: cost 1 inf + 0 91.443 * * [simplify]: Extracting #1: cost 34 inf + 0 91.444 * * [simplify]: Extracting #2: cost 101 inf + 1 91.445 * * [simplify]: Extracting #3: cost 100 inf + 91 91.446 * * [simplify]: Extracting #4: cost 91 inf + 844 91.450 * * [simplify]: Extracting #5: cost 54 inf + 14600 91.461 * * [simplify]: Extracting #6: cost 2 inf + 49108 91.473 * * [simplify]: Extracting #7: cost 0 inf + 50752 91.480 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k)) 91.480 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))) 91.480 * * * * [progress]: [ 176 / 189 ] simplifiying candidate #real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))> 91.480 * [simplify]: Simplifying (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 91.480 * * [simplify]: iters left: 6 (14 enodes) 91.484 * * [simplify]: iters left: 5 (57 enodes) 91.493 * * [simplify]: iters left: 4 (100 enodes) 91.521 * * [simplify]: iters left: 3 (167 enodes) 91.561 * * [simplify]: iters left: 2 (325 enodes) 91.692 * * [simplify]: Extracting #0: cost 1 inf + 0 91.692 * * [simplify]: Extracting #1: cost 2 inf + 0 91.692 * * [simplify]: Extracting #2: cost 43 inf + 0 91.692 * * [simplify]: Extracting #3: cost 131 inf + 1 91.693 * * [simplify]: Extracting #4: cost 174 inf + 4 91.694 * * [simplify]: Extracting #5: cost 168 inf + 1217 91.696 * * [simplify]: Extracting #6: cost 124 inf + 8332 91.705 * * [simplify]: Extracting #7: cost 44 inf + 49329 91.728 * * [simplify]: Extracting #8: cost 0 inf + 82876 91.747 * [simplify]: Simplified to (real->posit16 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) 91.747 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))) 91.747 * * * * [progress]: [ 177 / 189 ] simplifiying candidate # 91.747 * * * * [progress]: [ 178 / 189 ] simplifiying candidate # 91.747 * [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))))) 91.748 * * [simplify]: iters left: 6 (37 enodes) 91.759 * * [simplify]: iters left: 5 (187 enodes) 91.829 * * [simplify]: iters left: 4 (488 enodes) 92.086 * * [simplify]: Extracting #0: cost 1 inf + 0 92.086 * * [simplify]: Extracting #1: cost 57 inf + 0 92.087 * * [simplify]: Extracting #2: cost 293 inf + 0 92.091 * * [simplify]: Extracting #3: cost 528 inf + 199 92.096 * * [simplify]: Extracting #4: cost 520 inf + 5092 92.120 * * [simplify]: Extracting #5: cost 310 inf + 80654 92.197 * * [simplify]: Extracting #6: cost 37 inf + 224929 92.293 * * [simplify]: Extracting #7: cost 0 inf + 247296 92.374 * * [simplify]: Extracting #8: cost 0 inf + 245223 92.427 * * [simplify]: Extracting #9: cost 0 inf + 245182 92.497 * [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)))))))) 92.497 * [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)))))))) (/ 1 (sqrt k)))) 92.498 * * * * [progress]: [ 179 / 189 ] simplifiying candidate # 92.498 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 92.498 * * [simplify]: iters left: 6 (15 enodes) 92.503 * * [simplify]: iters left: 5 (65 enodes) 92.518 * * [simplify]: iters left: 4 (123 enodes) 92.569 * * [simplify]: iters left: 3 (362 enodes) 92.728 * * [simplify]: Extracting #0: cost 1 inf + 0 92.728 * * [simplify]: Extracting #1: cost 36 inf + 0 92.729 * * [simplify]: Extracting #2: cost 211 inf + 1 92.730 * * [simplify]: Extracting #3: cost 352 inf + 1140 92.736 * * [simplify]: Extracting #4: cost 240 inf + 23280 92.759 * * [simplify]: Extracting #5: cost 34 inf + 77101 92.790 * * [simplify]: Extracting #6: cost 1 inf + 87428 92.806 * * [simplify]: Extracting #7: cost 0 inf + 88076 92.826 * * [simplify]: Extracting #8: cost 0 inf + 87995 92.857 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 92.857 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (/ 1 (sqrt k)))) 92.857 * * * * [progress]: [ 180 / 189 ] simplifiying candidate # 92.857 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 92.857 * * [simplify]: iters left: 6 (16 enodes) 92.868 * * [simplify]: iters left: 5 (67 enodes) 92.892 * * [simplify]: iters left: 4 (134 enodes) 92.939 * * [simplify]: iters left: 3 (407 enodes) 93.084 * * [simplify]: Extracting #0: cost 1 inf + 0 93.085 * * [simplify]: Extracting #1: cost 38 inf + 0 93.085 * * [simplify]: Extracting #2: cost 238 inf + 72 93.087 * * [simplify]: Extracting #3: cost 449 inf + 680 93.092 * * [simplify]: Extracting #4: cost 307 inf + 33836 93.117 * * [simplify]: Extracting #5: cost 52 inf + 105891 93.142 * * [simplify]: Extracting #6: cost 1 inf + 120745 93.182 * * [simplify]: Extracting #7: cost 0 inf + 120798 93.225 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 93.225 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (/ 1 (sqrt k)))) 93.225 * * * * [progress]: [ 181 / 189 ] simplifiying candidate # 93.225 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 93.225 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 93.225 * * * * [progress]: [ 182 / 189 ] simplifiying candidate # 93.226 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 93.226 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 93.226 * * * * [progress]: [ 183 / 189 ] simplifiying candidate # 93.226 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 93.226 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 93.226 * * * * [progress]: [ 184 / 189 ] simplifiying candidate # 93.227 * [simplify]: Simplifying (* 2 (* n PI)) 93.227 * * [simplify]: iters left: 4 (5 enodes) 93.230 * * [simplify]: iters left: 3 (19 enodes) 93.236 * * [simplify]: iters left: 2 (27 enodes) 93.244 * * [simplify]: iters left: 1 (32 enodes) 93.252 * * [simplify]: Extracting #0: cost 1 inf + 0 93.252 * * [simplify]: Extracting #1: cost 8 inf + 0 93.252 * * [simplify]: Extracting #2: cost 7 inf + 45 93.252 * * [simplify]: Extracting #3: cost 0 inf + 421 93.252 * [simplify]: Simplified to (* (* PI n) 2) 93.253 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 93.253 * * * * [progress]: [ 185 / 189 ] simplifiying candidate # 93.253 * [simplify]: Simplifying (* 2 (* n PI)) 93.253 * * [simplify]: iters left: 4 (5 enodes) 93.256 * * [simplify]: iters left: 3 (19 enodes) 93.262 * * [simplify]: iters left: 2 (27 enodes) 93.270 * * [simplify]: iters left: 1 (32 enodes) 93.280 * * [simplify]: Extracting #0: cost 1 inf + 0 93.280 * * [simplify]: Extracting #1: cost 8 inf + 0 93.280 * * [simplify]: Extracting #2: cost 7 inf + 45 93.280 * * [simplify]: Extracting #3: cost 0 inf + 421 93.281 * [simplify]: Simplified to (* (* PI n) 2) 93.281 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 93.281 * * * * [progress]: [ 186 / 189 ] simplifiying candidate # 93.281 * [simplify]: Simplifying (* 2 (* n PI)) 93.281 * * [simplify]: iters left: 4 (5 enodes) 93.284 * * [simplify]: iters left: 3 (19 enodes) 93.290 * * [simplify]: iters left: 2 (27 enodes) 93.298 * * [simplify]: iters left: 1 (32 enodes) 93.306 * * [simplify]: Extracting #0: cost 1 inf + 0 93.306 * * [simplify]: Extracting #1: cost 8 inf + 0 93.307 * * [simplify]: Extracting #2: cost 7 inf + 45 93.307 * * [simplify]: Extracting #3: cost 0 inf + 421 93.307 * [simplify]: Simplified to (* (* PI n) 2) 93.307 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 93.307 * * * * [progress]: [ 187 / 189 ] simplifiying candidate # 93.308 * [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)))))))))))))))))))))) 93.308 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 93.308 * * * * [progress]: [ 188 / 189 ] simplifiying candidate # 93.309 * [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)))))))) 93.309 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 93.309 * * * * [progress]: [ 189 / 189 ] simplifiying candidate # 93.309 * [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)))))))))))) 93.309 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 93.310 * * * [progress]: adding candidates to table 95.553 * * [progress]: iteration 3 / 4 95.553 * * * [progress]: picking best candidate 95.603 * * * * [pick]: Picked # 95.603 * * * [progress]: localizing error 95.656 * * * [progress]: generating rewritten candidates 95.656 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 95.689 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 95.715 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 95.748 * * * [progress]: generating series expansions 95.748 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 95.749 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 95.749 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 95.749 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 95.749 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 95.749 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 95.749 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 95.749 * [taylor]: Taking taylor expansion of 1/2 in k 95.749 * [backup-simplify]: Simplify 1/2 into 1/2 95.749 * [taylor]: Taking taylor expansion of (- 1 k) in k 95.749 * [taylor]: Taking taylor expansion of 1 in k 95.749 * [backup-simplify]: Simplify 1 into 1 95.749 * [taylor]: Taking taylor expansion of k in k 95.749 * [backup-simplify]: Simplify 0 into 0 95.749 * [backup-simplify]: Simplify 1 into 1 95.749 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 95.749 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 95.749 * [taylor]: Taking taylor expansion of 2 in k 95.749 * [backup-simplify]: Simplify 2 into 2 95.749 * [taylor]: Taking taylor expansion of (* n PI) in k 95.749 * [taylor]: Taking taylor expansion of n in k 95.749 * [backup-simplify]: Simplify n into n 95.749 * [taylor]: Taking taylor expansion of PI in k 95.749 * [backup-simplify]: Simplify PI into PI 95.749 * [backup-simplify]: Simplify (* n PI) into (* n PI) 95.749 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 95.749 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 95.750 * [backup-simplify]: Simplify (- 0) into 0 95.750 * [backup-simplify]: Simplify (+ 1 0) into 1 95.750 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 95.750 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 95.751 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 95.751 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 95.751 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 95.751 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 95.751 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 95.751 * [taylor]: Taking taylor expansion of 1/2 in n 95.751 * [backup-simplify]: Simplify 1/2 into 1/2 95.751 * [taylor]: Taking taylor expansion of (- 1 k) in n 95.751 * [taylor]: Taking taylor expansion of 1 in n 95.751 * [backup-simplify]: Simplify 1 into 1 95.751 * [taylor]: Taking taylor expansion of k in n 95.751 * [backup-simplify]: Simplify k into k 95.751 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 95.751 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 95.751 * [taylor]: Taking taylor expansion of 2 in n 95.751 * [backup-simplify]: Simplify 2 into 2 95.751 * [taylor]: Taking taylor expansion of (* n PI) in n 95.751 * [taylor]: Taking taylor expansion of n in n 95.751 * [backup-simplify]: Simplify 0 into 0 95.751 * [backup-simplify]: Simplify 1 into 1 95.751 * [taylor]: Taking taylor expansion of PI in n 95.751 * [backup-simplify]: Simplify PI into PI 95.751 * [backup-simplify]: Simplify (* 0 PI) into 0 95.752 * [backup-simplify]: Simplify (* 2 0) into 0 95.753 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 95.753 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 95.754 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 95.754 * [backup-simplify]: Simplify (- k) into (- k) 95.754 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 95.754 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 95.755 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 95.756 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 95.756 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 95.756 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 95.756 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 95.756 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 95.756 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 95.757 * [taylor]: Taking taylor expansion of 1/2 in n 95.757 * [backup-simplify]: Simplify 1/2 into 1/2 95.757 * [taylor]: Taking taylor expansion of (- 1 k) in n 95.757 * [taylor]: Taking taylor expansion of 1 in n 95.757 * [backup-simplify]: Simplify 1 into 1 95.757 * [taylor]: Taking taylor expansion of k in n 95.757 * [backup-simplify]: Simplify k into k 95.757 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 95.757 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 95.757 * [taylor]: Taking taylor expansion of 2 in n 95.757 * [backup-simplify]: Simplify 2 into 2 95.757 * [taylor]: Taking taylor expansion of (* n PI) in n 95.757 * [taylor]: Taking taylor expansion of n in n 95.757 * [backup-simplify]: Simplify 0 into 0 95.757 * [backup-simplify]: Simplify 1 into 1 95.757 * [taylor]: Taking taylor expansion of PI in n 95.757 * [backup-simplify]: Simplify PI into PI 95.757 * [backup-simplify]: Simplify (* 0 PI) into 0 95.757 * [backup-simplify]: Simplify (* 2 0) into 0 95.758 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 95.759 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 95.760 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 95.760 * [backup-simplify]: Simplify (- k) into (- k) 95.760 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 95.760 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 95.761 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 95.761 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 95.762 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 95.762 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 95.762 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 95.762 * [taylor]: Taking taylor expansion of 1/2 in k 95.762 * [backup-simplify]: Simplify 1/2 into 1/2 95.762 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 95.762 * [taylor]: Taking taylor expansion of (- 1 k) in k 95.762 * [taylor]: Taking taylor expansion of 1 in k 95.762 * [backup-simplify]: Simplify 1 into 1 95.762 * [taylor]: Taking taylor expansion of k in k 95.762 * [backup-simplify]: Simplify 0 into 0 95.762 * [backup-simplify]: Simplify 1 into 1 95.762 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 95.762 * [taylor]: Taking taylor expansion of (log n) in k 95.762 * [taylor]: Taking taylor expansion of n in k 95.762 * [backup-simplify]: Simplify n into n 95.762 * [backup-simplify]: Simplify (log n) into (log n) 95.762 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 95.762 * [taylor]: Taking taylor expansion of (* 2 PI) in k 95.762 * [taylor]: Taking taylor expansion of 2 in k 95.762 * [backup-simplify]: Simplify 2 into 2 95.762 * [taylor]: Taking taylor expansion of PI in k 95.762 * [backup-simplify]: Simplify PI into PI 95.763 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 95.763 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 95.764 * [backup-simplify]: Simplify (- 0) into 0 95.764 * [backup-simplify]: Simplify (+ 1 0) into 1 95.764 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 95.765 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 95.766 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 95.766 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 95.767 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 95.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 95.768 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 95.769 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 95.769 * [backup-simplify]: Simplify (- 0) into 0 95.770 * [backup-simplify]: Simplify (+ 0 0) into 0 95.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 95.771 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 95.772 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 95.773 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 95.773 * [taylor]: Taking taylor expansion of 0 in k 95.773 * [backup-simplify]: Simplify 0 into 0 95.773 * [backup-simplify]: Simplify 0 into 0 95.773 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 95.774 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 95.775 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 95.775 * [backup-simplify]: Simplify (+ 0 0) into 0 95.775 * [backup-simplify]: Simplify (- 1) into -1 95.776 * [backup-simplify]: Simplify (+ 0 -1) into -1 95.777 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 95.778 * [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))))) 95.784 * [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))))))) 95.786 * [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))))))) 95.787 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 95.787 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 95.789 * [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 95.789 * [backup-simplify]: Simplify (- 0) into 0 95.789 * [backup-simplify]: Simplify (+ 0 0) into 0 95.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 95.791 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 95.792 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 95.793 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 95.793 * [taylor]: Taking taylor expansion of 0 in k 95.793 * [backup-simplify]: Simplify 0 into 0 95.793 * [backup-simplify]: Simplify 0 into 0 95.793 * [backup-simplify]: Simplify 0 into 0 95.794 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 95.795 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 95.797 * [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 95.797 * [backup-simplify]: Simplify (+ 0 0) into 0 95.797 * [backup-simplify]: Simplify (- 0) into 0 95.797 * [backup-simplify]: Simplify (+ 0 0) into 0 95.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 95.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 95.802 * [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))))) 95.805 * [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))))) 95.813 * [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))))) 95.814 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 95.814 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 95.814 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 95.814 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 95.814 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 95.814 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 95.814 * [taylor]: Taking taylor expansion of 1/2 in k 95.814 * [backup-simplify]: Simplify 1/2 into 1/2 95.814 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 95.814 * [taylor]: Taking taylor expansion of 1 in k 95.814 * [backup-simplify]: Simplify 1 into 1 95.814 * [taylor]: Taking taylor expansion of (/ 1 k) in k 95.814 * [taylor]: Taking taylor expansion of k in k 95.814 * [backup-simplify]: Simplify 0 into 0 95.814 * [backup-simplify]: Simplify 1 into 1 95.815 * [backup-simplify]: Simplify (/ 1 1) into 1 95.815 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 95.815 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 95.815 * [taylor]: Taking taylor expansion of 2 in k 95.815 * [backup-simplify]: Simplify 2 into 2 95.815 * [taylor]: Taking taylor expansion of (/ PI n) in k 95.815 * [taylor]: Taking taylor expansion of PI in k 95.815 * [backup-simplify]: Simplify PI into PI 95.815 * [taylor]: Taking taylor expansion of n in k 95.815 * [backup-simplify]: Simplify n into n 95.815 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 95.815 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 95.815 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 95.816 * [backup-simplify]: Simplify (- 1) into -1 95.816 * [backup-simplify]: Simplify (+ 0 -1) into -1 95.817 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 95.817 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 95.817 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 95.817 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 95.817 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 95.817 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 95.817 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 95.817 * [taylor]: Taking taylor expansion of 1/2 in n 95.817 * [backup-simplify]: Simplify 1/2 into 1/2 95.817 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 95.817 * [taylor]: Taking taylor expansion of 1 in n 95.817 * [backup-simplify]: Simplify 1 into 1 95.817 * [taylor]: Taking taylor expansion of (/ 1 k) in n 95.817 * [taylor]: Taking taylor expansion of k in n 95.817 * [backup-simplify]: Simplify k into k 95.817 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 95.817 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 95.817 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 95.817 * [taylor]: Taking taylor expansion of 2 in n 95.817 * [backup-simplify]: Simplify 2 into 2 95.817 * [taylor]: Taking taylor expansion of (/ PI n) in n 95.817 * [taylor]: Taking taylor expansion of PI in n 95.817 * [backup-simplify]: Simplify PI into PI 95.817 * [taylor]: Taking taylor expansion of n in n 95.818 * [backup-simplify]: Simplify 0 into 0 95.818 * [backup-simplify]: Simplify 1 into 1 95.818 * [backup-simplify]: Simplify (/ PI 1) into PI 95.818 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 95.820 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 95.820 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 95.820 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 95.820 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 95.821 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 95.822 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 95.824 * [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))))) 95.824 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 95.824 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 95.824 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 95.824 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 95.824 * [taylor]: Taking taylor expansion of 1/2 in n 95.824 * [backup-simplify]: Simplify 1/2 into 1/2 95.824 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 95.824 * [taylor]: Taking taylor expansion of 1 in n 95.824 * [backup-simplify]: Simplify 1 into 1 95.824 * [taylor]: Taking taylor expansion of (/ 1 k) in n 95.824 * [taylor]: Taking taylor expansion of k in n 95.824 * [backup-simplify]: Simplify k into k 95.824 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 95.824 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 95.824 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 95.824 * [taylor]: Taking taylor expansion of 2 in n 95.824 * [backup-simplify]: Simplify 2 into 2 95.824 * [taylor]: Taking taylor expansion of (/ PI n) in n 95.824 * [taylor]: Taking taylor expansion of PI in n 95.824 * [backup-simplify]: Simplify PI into PI 95.824 * [taylor]: Taking taylor expansion of n in n 95.824 * [backup-simplify]: Simplify 0 into 0 95.824 * [backup-simplify]: Simplify 1 into 1 95.825 * [backup-simplify]: Simplify (/ PI 1) into PI 95.825 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 95.826 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 95.826 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 95.827 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 95.827 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 95.828 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 95.829 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 95.830 * [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))))) 95.830 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 95.830 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 95.830 * [taylor]: Taking taylor expansion of 1/2 in k 95.830 * [backup-simplify]: Simplify 1/2 into 1/2 95.830 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 95.830 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 95.831 * [taylor]: Taking taylor expansion of 1 in k 95.831 * [backup-simplify]: Simplify 1 into 1 95.831 * [taylor]: Taking taylor expansion of (/ 1 k) in k 95.831 * [taylor]: Taking taylor expansion of k in k 95.831 * [backup-simplify]: Simplify 0 into 0 95.831 * [backup-simplify]: Simplify 1 into 1 95.831 * [backup-simplify]: Simplify (/ 1 1) into 1 95.831 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 95.831 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 95.831 * [taylor]: Taking taylor expansion of (* 2 PI) in k 95.831 * [taylor]: Taking taylor expansion of 2 in k 95.831 * [backup-simplify]: Simplify 2 into 2 95.831 * [taylor]: Taking taylor expansion of PI in k 95.831 * [backup-simplify]: Simplify PI into PI 95.832 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 95.833 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 95.833 * [taylor]: Taking taylor expansion of (log n) in k 95.833 * [taylor]: Taking taylor expansion of n in k 95.833 * [backup-simplify]: Simplify n into n 95.833 * [backup-simplify]: Simplify (log n) into (log n) 95.833 * [backup-simplify]: Simplify (- 1) into -1 95.834 * [backup-simplify]: Simplify (+ 0 -1) into -1 95.834 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 95.835 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 95.836 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 95.837 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 95.838 * [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))))) 95.839 * [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))))) 95.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 95.841 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 95.843 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 95.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 95.843 * [backup-simplify]: Simplify (- 0) into 0 95.843 * [backup-simplify]: Simplify (+ 0 0) into 0 95.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 95.845 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 95.846 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 95.848 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 95.848 * [taylor]: Taking taylor expansion of 0 in k 95.848 * [backup-simplify]: Simplify 0 into 0 95.848 * [backup-simplify]: Simplify 0 into 0 95.848 * [backup-simplify]: Simplify 0 into 0 95.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 95.851 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 95.854 * [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 95.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 95.855 * [backup-simplify]: Simplify (- 0) into 0 95.855 * [backup-simplify]: Simplify (+ 0 0) into 0 95.856 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 95.857 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 95.859 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 95.861 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 95.861 * [taylor]: Taking taylor expansion of 0 in k 95.861 * [backup-simplify]: Simplify 0 into 0 95.861 * [backup-simplify]: Simplify 0 into 0 95.861 * [backup-simplify]: Simplify 0 into 0 95.861 * [backup-simplify]: Simplify 0 into 0 95.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 95.864 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 95.870 * [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 95.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 95.871 * [backup-simplify]: Simplify (- 0) into 0 95.871 * [backup-simplify]: Simplify (+ 0 0) into 0 95.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 95.874 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 95.875 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 95.878 * [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 95.878 * [taylor]: Taking taylor expansion of 0 in k 95.878 * [backup-simplify]: Simplify 0 into 0 95.878 * [backup-simplify]: Simplify 0 into 0 95.879 * [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)))))) 95.880 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 95.880 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 95.880 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 95.880 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 95.880 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 95.880 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 95.880 * [taylor]: Taking taylor expansion of 1/2 in k 95.880 * [backup-simplify]: Simplify 1/2 into 1/2 95.880 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 95.880 * [taylor]: Taking taylor expansion of (/ 1 k) in k 95.880 * [taylor]: Taking taylor expansion of k in k 95.880 * [backup-simplify]: Simplify 0 into 0 95.880 * [backup-simplify]: Simplify 1 into 1 95.881 * [backup-simplify]: Simplify (/ 1 1) into 1 95.881 * [taylor]: Taking taylor expansion of 1 in k 95.881 * [backup-simplify]: Simplify 1 into 1 95.881 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 95.881 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 95.881 * [taylor]: Taking taylor expansion of -2 in k 95.881 * [backup-simplify]: Simplify -2 into -2 95.881 * [taylor]: Taking taylor expansion of (/ PI n) in k 95.881 * [taylor]: Taking taylor expansion of PI in k 95.881 * [backup-simplify]: Simplify PI into PI 95.881 * [taylor]: Taking taylor expansion of n in k 95.881 * [backup-simplify]: Simplify n into n 95.881 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 95.881 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 95.881 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 95.882 * [backup-simplify]: Simplify (+ 1 0) into 1 95.882 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 95.882 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 95.882 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 95.882 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 95.882 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 95.882 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 95.883 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 95.883 * [taylor]: Taking taylor expansion of 1/2 in n 95.883 * [backup-simplify]: Simplify 1/2 into 1/2 95.883 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 95.883 * [taylor]: Taking taylor expansion of (/ 1 k) in n 95.883 * [taylor]: Taking taylor expansion of k in n 95.883 * [backup-simplify]: Simplify k into k 95.883 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 95.883 * [taylor]: Taking taylor expansion of 1 in n 95.883 * [backup-simplify]: Simplify 1 into 1 95.883 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 95.883 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 95.883 * [taylor]: Taking taylor expansion of -2 in n 95.883 * [backup-simplify]: Simplify -2 into -2 95.883 * [taylor]: Taking taylor expansion of (/ PI n) in n 95.883 * [taylor]: Taking taylor expansion of PI in n 95.883 * [backup-simplify]: Simplify PI into PI 95.883 * [taylor]: Taking taylor expansion of n in n 95.883 * [backup-simplify]: Simplify 0 into 0 95.883 * [backup-simplify]: Simplify 1 into 1 95.883 * [backup-simplify]: Simplify (/ PI 1) into PI 95.884 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 95.885 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 95.885 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 95.885 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 95.886 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 95.888 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 95.889 * [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))))) 95.889 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 95.889 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 95.889 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 95.889 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 95.889 * [taylor]: Taking taylor expansion of 1/2 in n 95.889 * [backup-simplify]: Simplify 1/2 into 1/2 95.889 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 95.889 * [taylor]: Taking taylor expansion of (/ 1 k) in n 95.889 * [taylor]: Taking taylor expansion of k in n 95.889 * [backup-simplify]: Simplify k into k 95.889 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 95.889 * [taylor]: Taking taylor expansion of 1 in n 95.889 * [backup-simplify]: Simplify 1 into 1 95.889 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 95.889 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 95.889 * [taylor]: Taking taylor expansion of -2 in n 95.889 * [backup-simplify]: Simplify -2 into -2 95.889 * [taylor]: Taking taylor expansion of (/ PI n) in n 95.889 * [taylor]: Taking taylor expansion of PI in n 95.889 * [backup-simplify]: Simplify PI into PI 95.889 * [taylor]: Taking taylor expansion of n in n 95.889 * [backup-simplify]: Simplify 0 into 0 95.889 * [backup-simplify]: Simplify 1 into 1 95.890 * [backup-simplify]: Simplify (/ PI 1) into PI 95.890 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 95.891 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 95.891 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 95.891 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 95.893 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 95.894 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 95.895 * [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))))) 95.895 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 95.895 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 95.895 * [taylor]: Taking taylor expansion of 1/2 in k 95.895 * [backup-simplify]: Simplify 1/2 into 1/2 95.895 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 95.896 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 95.896 * [taylor]: Taking taylor expansion of (/ 1 k) in k 95.896 * [taylor]: Taking taylor expansion of k in k 95.896 * [backup-simplify]: Simplify 0 into 0 95.896 * [backup-simplify]: Simplify 1 into 1 95.896 * [backup-simplify]: Simplify (/ 1 1) into 1 95.896 * [taylor]: Taking taylor expansion of 1 in k 95.896 * [backup-simplify]: Simplify 1 into 1 95.896 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 95.896 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 95.896 * [taylor]: Taking taylor expansion of (* -2 PI) in k 95.896 * [taylor]: Taking taylor expansion of -2 in k 95.896 * [backup-simplify]: Simplify -2 into -2 95.896 * [taylor]: Taking taylor expansion of PI in k 95.896 * [backup-simplify]: Simplify PI into PI 95.897 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 95.898 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 95.898 * [taylor]: Taking taylor expansion of (log n) in k 95.898 * [taylor]: Taking taylor expansion of n in k 95.898 * [backup-simplify]: Simplify n into n 95.898 * [backup-simplify]: Simplify (log n) into (log n) 95.899 * [backup-simplify]: Simplify (+ 1 0) into 1 95.899 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 95.900 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 95.901 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 95.902 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 95.903 * [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))))) 95.904 * [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))))) 95.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 95.906 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 95.908 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 95.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 95.908 * [backup-simplify]: Simplify (+ 0 0) into 0 95.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 95.916 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 95.917 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 95.919 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 95.919 * [taylor]: Taking taylor expansion of 0 in k 95.919 * [backup-simplify]: Simplify 0 into 0 95.919 * [backup-simplify]: Simplify 0 into 0 95.919 * [backup-simplify]: Simplify 0 into 0 95.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 95.921 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 95.925 * [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 95.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 95.925 * [backup-simplify]: Simplify (+ 0 0) into 0 95.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 95.928 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 95.929 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 95.931 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 95.931 * [taylor]: Taking taylor expansion of 0 in k 95.931 * [backup-simplify]: Simplify 0 into 0 95.931 * [backup-simplify]: Simplify 0 into 0 95.931 * [backup-simplify]: Simplify 0 into 0 95.932 * [backup-simplify]: Simplify 0 into 0 95.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 95.934 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 95.940 * [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 95.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 95.941 * [backup-simplify]: Simplify (+ 0 0) into 0 95.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 95.943 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 95.945 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 95.948 * [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 95.948 * [taylor]: Taking taylor expansion of 0 in k 95.948 * [backup-simplify]: Simplify 0 into 0 95.948 * [backup-simplify]: Simplify 0 into 0 95.950 * [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)))))) 95.950 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 95.950 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 95.950 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 95.950 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 95.950 * [taylor]: Taking taylor expansion of 2 in n 95.950 * [backup-simplify]: Simplify 2 into 2 95.951 * [taylor]: Taking taylor expansion of (* n PI) in n 95.951 * [taylor]: Taking taylor expansion of n in n 95.951 * [backup-simplify]: Simplify 0 into 0 95.951 * [backup-simplify]: Simplify 1 into 1 95.951 * [taylor]: Taking taylor expansion of PI in n 95.951 * [backup-simplify]: Simplify PI into PI 95.951 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 95.951 * [taylor]: Taking taylor expansion of 2 in n 95.951 * [backup-simplify]: Simplify 2 into 2 95.951 * [taylor]: Taking taylor expansion of (* n PI) in n 95.951 * [taylor]: Taking taylor expansion of n in n 95.951 * [backup-simplify]: Simplify 0 into 0 95.951 * [backup-simplify]: Simplify 1 into 1 95.951 * [taylor]: Taking taylor expansion of PI in n 95.951 * [backup-simplify]: Simplify PI into PI 95.951 * [backup-simplify]: Simplify (* 0 PI) into 0 95.952 * [backup-simplify]: Simplify (* 2 0) into 0 95.952 * [backup-simplify]: Simplify 0 into 0 95.953 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 95.955 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 95.955 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 95.956 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 95.957 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 95.957 * [backup-simplify]: Simplify 0 into 0 95.959 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 95.960 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 95.960 * [backup-simplify]: Simplify 0 into 0 95.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 95.962 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 95.962 * [backup-simplify]: Simplify 0 into 0 95.964 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 95.965 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 95.966 * [backup-simplify]: Simplify 0 into 0 95.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 95.969 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 95.969 * [backup-simplify]: Simplify 0 into 0 95.971 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 95.973 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 95.973 * [backup-simplify]: Simplify 0 into 0 95.974 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 95.974 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 95.974 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 95.974 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 95.974 * [taylor]: Taking taylor expansion of 2 in n 95.974 * [backup-simplify]: Simplify 2 into 2 95.975 * [taylor]: Taking taylor expansion of (/ PI n) in n 95.975 * [taylor]: Taking taylor expansion of PI in n 95.975 * [backup-simplify]: Simplify PI into PI 95.975 * [taylor]: Taking taylor expansion of n in n 95.975 * [backup-simplify]: Simplify 0 into 0 95.975 * [backup-simplify]: Simplify 1 into 1 95.975 * [backup-simplify]: Simplify (/ PI 1) into PI 95.975 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 95.975 * [taylor]: Taking taylor expansion of 2 in n 95.975 * [backup-simplify]: Simplify 2 into 2 95.975 * [taylor]: Taking taylor expansion of (/ PI n) in n 95.975 * [taylor]: Taking taylor expansion of PI in n 95.975 * [backup-simplify]: Simplify PI into PI 95.975 * [taylor]: Taking taylor expansion of n in n 95.975 * [backup-simplify]: Simplify 0 into 0 95.975 * [backup-simplify]: Simplify 1 into 1 95.976 * [backup-simplify]: Simplify (/ PI 1) into PI 95.976 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 95.977 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 95.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 95.978 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 95.978 * [backup-simplify]: Simplify 0 into 0 95.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 95.980 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 95.980 * [backup-simplify]: Simplify 0 into 0 95.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 95.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 95.983 * [backup-simplify]: Simplify 0 into 0 95.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 95.985 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 95.985 * [backup-simplify]: Simplify 0 into 0 95.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 95.988 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 95.988 * [backup-simplify]: Simplify 0 into 0 95.989 * [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 95.990 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 95.991 * [backup-simplify]: Simplify 0 into 0 95.991 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 95.992 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 95.992 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 95.992 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 95.992 * [taylor]: Taking taylor expansion of -2 in n 95.992 * [backup-simplify]: Simplify -2 into -2 95.992 * [taylor]: Taking taylor expansion of (/ PI n) in n 95.992 * [taylor]: Taking taylor expansion of PI in n 95.992 * [backup-simplify]: Simplify PI into PI 95.992 * [taylor]: Taking taylor expansion of n in n 95.992 * [backup-simplify]: Simplify 0 into 0 95.992 * [backup-simplify]: Simplify 1 into 1 95.993 * [backup-simplify]: Simplify (/ PI 1) into PI 95.993 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 95.993 * [taylor]: Taking taylor expansion of -2 in n 95.993 * [backup-simplify]: Simplify -2 into -2 95.993 * [taylor]: Taking taylor expansion of (/ PI n) in n 95.993 * [taylor]: Taking taylor expansion of PI in n 95.993 * [backup-simplify]: Simplify PI into PI 95.993 * [taylor]: Taking taylor expansion of n in n 95.993 * [backup-simplify]: Simplify 0 into 0 95.993 * [backup-simplify]: Simplify 1 into 1 95.993 * [backup-simplify]: Simplify (/ PI 1) into PI 95.994 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 95.994 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 95.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 95.996 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 95.996 * [backup-simplify]: Simplify 0 into 0 95.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 95.998 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 95.998 * [backup-simplify]: Simplify 0 into 0 95.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 96.000 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 96.000 * [backup-simplify]: Simplify 0 into 0 96.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 96.003 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 96.003 * [backup-simplify]: Simplify 0 into 0 96.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 96.005 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 96.005 * [backup-simplify]: Simplify 0 into 0 96.006 * [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 96.008 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 96.008 * [backup-simplify]: Simplify 0 into 0 96.008 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 96.009 * * * * [progress]: [ 3 / 3 ] generating series at (2) 96.009 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 96.009 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 96.009 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 96.009 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 96.009 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 96.009 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 96.009 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 96.009 * [taylor]: Taking taylor expansion of 1/2 in k 96.009 * [backup-simplify]: Simplify 1/2 into 1/2 96.009 * [taylor]: Taking taylor expansion of (- 1 k) in k 96.010 * [taylor]: Taking taylor expansion of 1 in k 96.010 * [backup-simplify]: Simplify 1 into 1 96.010 * [taylor]: Taking taylor expansion of k in k 96.010 * [backup-simplify]: Simplify 0 into 0 96.010 * [backup-simplify]: Simplify 1 into 1 96.010 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 96.010 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 96.010 * [taylor]: Taking taylor expansion of 2 in k 96.010 * [backup-simplify]: Simplify 2 into 2 96.010 * [taylor]: Taking taylor expansion of (* n PI) in k 96.010 * [taylor]: Taking taylor expansion of n in k 96.010 * [backup-simplify]: Simplify n into n 96.010 * [taylor]: Taking taylor expansion of PI in k 96.010 * [backup-simplify]: Simplify PI into PI 96.010 * [backup-simplify]: Simplify (* n PI) into (* n PI) 96.010 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 96.010 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 96.010 * [backup-simplify]: Simplify (- 0) into 0 96.011 * [backup-simplify]: Simplify (+ 1 0) into 1 96.011 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 96.011 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 96.011 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 96.012 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 96.012 * [taylor]: Taking taylor expansion of (/ 1 k) in k 96.012 * [taylor]: Taking taylor expansion of k in k 96.012 * [backup-simplify]: Simplify 0 into 0 96.012 * [backup-simplify]: Simplify 1 into 1 96.012 * [backup-simplify]: Simplify (/ 1 1) into 1 96.012 * [backup-simplify]: Simplify (sqrt 0) into 0 96.014 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 96.014 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 96.014 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 96.014 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 96.014 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 96.014 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 96.014 * [taylor]: Taking taylor expansion of 1/2 in n 96.014 * [backup-simplify]: Simplify 1/2 into 1/2 96.014 * [taylor]: Taking taylor expansion of (- 1 k) in n 96.014 * [taylor]: Taking taylor expansion of 1 in n 96.014 * [backup-simplify]: Simplify 1 into 1 96.014 * [taylor]: Taking taylor expansion of k in n 96.014 * [backup-simplify]: Simplify k into k 96.014 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 96.014 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 96.014 * [taylor]: Taking taylor expansion of 2 in n 96.014 * [backup-simplify]: Simplify 2 into 2 96.014 * [taylor]: Taking taylor expansion of (* n PI) in n 96.014 * [taylor]: Taking taylor expansion of n in n 96.014 * [backup-simplify]: Simplify 0 into 0 96.014 * [backup-simplify]: Simplify 1 into 1 96.014 * [taylor]: Taking taylor expansion of PI in n 96.015 * [backup-simplify]: Simplify PI into PI 96.015 * [backup-simplify]: Simplify (* 0 PI) into 0 96.015 * [backup-simplify]: Simplify (* 2 0) into 0 96.017 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 96.018 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 96.019 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 96.019 * [backup-simplify]: Simplify (- k) into (- k) 96.019 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 96.020 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 96.021 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 96.022 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 96.023 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 96.023 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 96.023 * [taylor]: Taking taylor expansion of (/ 1 k) in n 96.023 * [taylor]: Taking taylor expansion of k in n 96.023 * [backup-simplify]: Simplify k into k 96.023 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 96.023 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 96.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 96.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 96.024 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 96.024 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 96.024 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 96.024 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 96.024 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 96.024 * [taylor]: Taking taylor expansion of 1/2 in n 96.024 * [backup-simplify]: Simplify 1/2 into 1/2 96.024 * [taylor]: Taking taylor expansion of (- 1 k) in n 96.024 * [taylor]: Taking taylor expansion of 1 in n 96.024 * [backup-simplify]: Simplify 1 into 1 96.024 * [taylor]: Taking taylor expansion of k in n 96.024 * [backup-simplify]: Simplify k into k 96.024 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 96.024 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 96.024 * [taylor]: Taking taylor expansion of 2 in n 96.024 * [backup-simplify]: Simplify 2 into 2 96.024 * [taylor]: Taking taylor expansion of (* n PI) in n 96.024 * [taylor]: Taking taylor expansion of n in n 96.024 * [backup-simplify]: Simplify 0 into 0 96.024 * [backup-simplify]: Simplify 1 into 1 96.024 * [taylor]: Taking taylor expansion of PI in n 96.024 * [backup-simplify]: Simplify PI into PI 96.025 * [backup-simplify]: Simplify (* 0 PI) into 0 96.025 * [backup-simplify]: Simplify (* 2 0) into 0 96.026 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 96.028 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 96.029 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 96.029 * [backup-simplify]: Simplify (- k) into (- k) 96.029 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 96.029 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 96.030 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 96.032 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 96.033 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 96.033 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 96.033 * [taylor]: Taking taylor expansion of (/ 1 k) in n 96.033 * [taylor]: Taking taylor expansion of k in n 96.033 * [backup-simplify]: Simplify k into k 96.033 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 96.033 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 96.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 96.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 96.035 * [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))) 96.035 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 96.035 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 96.035 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 96.035 * [taylor]: Taking taylor expansion of 1/2 in k 96.035 * [backup-simplify]: Simplify 1/2 into 1/2 96.035 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 96.035 * [taylor]: Taking taylor expansion of (- 1 k) in k 96.035 * [taylor]: Taking taylor expansion of 1 in k 96.035 * [backup-simplify]: Simplify 1 into 1 96.035 * [taylor]: Taking taylor expansion of k in k 96.035 * [backup-simplify]: Simplify 0 into 0 96.035 * [backup-simplify]: Simplify 1 into 1 96.035 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 96.035 * [taylor]: Taking taylor expansion of (log n) in k 96.035 * [taylor]: Taking taylor expansion of n in k 96.035 * [backup-simplify]: Simplify n into n 96.035 * [backup-simplify]: Simplify (log n) into (log n) 96.035 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 96.035 * [taylor]: Taking taylor expansion of (* 2 PI) in k 96.035 * [taylor]: Taking taylor expansion of 2 in k 96.035 * [backup-simplify]: Simplify 2 into 2 96.035 * [taylor]: Taking taylor expansion of PI in k 96.036 * [backup-simplify]: Simplify PI into PI 96.036 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 96.037 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 96.037 * [backup-simplify]: Simplify (- 0) into 0 96.038 * [backup-simplify]: Simplify (+ 1 0) into 1 96.039 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 96.040 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 96.041 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 96.042 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 96.042 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 96.042 * [taylor]: Taking taylor expansion of (/ 1 k) in k 96.042 * [taylor]: Taking taylor expansion of k in k 96.042 * [backup-simplify]: Simplify 0 into 0 96.042 * [backup-simplify]: Simplify 1 into 1 96.042 * [backup-simplify]: Simplify (/ 1 1) into 1 96.043 * [backup-simplify]: Simplify (sqrt 0) into 0 96.044 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 96.045 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 96.045 * [backup-simplify]: Simplify 0 into 0 96.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 96.048 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 96.049 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 96.050 * [backup-simplify]: Simplify (- 0) into 0 96.050 * [backup-simplify]: Simplify (+ 0 0) into 0 96.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 96.052 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 96.053 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 96.055 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 96.056 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 96.057 * [taylor]: Taking taylor expansion of 0 in k 96.057 * [backup-simplify]: Simplify 0 into 0 96.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 96.058 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 96.060 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 96.061 * [backup-simplify]: Simplify (+ 0 0) into 0 96.061 * [backup-simplify]: Simplify (- 1) into -1 96.061 * [backup-simplify]: Simplify (+ 0 -1) into -1 96.069 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 96.071 * [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))))) 96.074 * [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))))))) 96.077 * [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))))))) 96.078 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 96.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 96.078 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 96.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 96.080 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 96.081 * [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 96.082 * [backup-simplify]: Simplify (- 0) into 0 96.082 * [backup-simplify]: Simplify (+ 0 0) into 0 96.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 96.083 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 96.084 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 96.085 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 96.086 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 96.086 * [taylor]: Taking taylor expansion of 0 in k 96.086 * [backup-simplify]: Simplify 0 into 0 96.086 * [backup-simplify]: Simplify 0 into 0 96.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 96.089 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 96.090 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 96.090 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 96.092 * [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 96.092 * [backup-simplify]: Simplify (+ 0 0) into 0 96.092 * [backup-simplify]: Simplify (- 0) into 0 96.093 * [backup-simplify]: Simplify (+ 0 0) into 0 96.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 96.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 96.098 * [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))))) 96.103 * [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)))))))) 96.105 * [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)))))))) 96.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 96.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 96.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 96.108 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 96.114 * [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 96.114 * [backup-simplify]: Simplify (- 0) into 0 96.115 * [backup-simplify]: Simplify (+ 0 0) into 0 96.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 96.117 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 96.119 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 96.122 * [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 96.124 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 96.124 * [taylor]: Taking taylor expansion of 0 in k 96.124 * [backup-simplify]: Simplify 0 into 0 96.124 * [backup-simplify]: Simplify 0 into 0 96.124 * [backup-simplify]: Simplify 0 into 0 96.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 96.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 96.132 * [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 96.133 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 96.138 * [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 96.139 * [backup-simplify]: Simplify (+ 0 0) into 0 96.139 * [backup-simplify]: Simplify (- 0) into 0 96.140 * [backup-simplify]: Simplify (+ 0 0) into 0 96.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 96.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 96.151 * [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))))))) 96.167 * [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)))))))))))))) 96.179 * [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)))))))))))))) 96.203 * [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)))))))))))))))))))))) 96.204 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (pow (/ 1 k) -1/2)) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 96.204 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 96.204 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 96.204 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 96.204 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 96.204 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 96.204 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 96.204 * [taylor]: Taking taylor expansion of 1/2 in k 96.204 * [backup-simplify]: Simplify 1/2 into 1/2 96.204 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 96.204 * [taylor]: Taking taylor expansion of 1 in k 96.204 * [backup-simplify]: Simplify 1 into 1 96.204 * [taylor]: Taking taylor expansion of (/ 1 k) in k 96.204 * [taylor]: Taking taylor expansion of k in k 96.205 * [backup-simplify]: Simplify 0 into 0 96.205 * [backup-simplify]: Simplify 1 into 1 96.205 * [backup-simplify]: Simplify (/ 1 1) into 1 96.205 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 96.205 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 96.205 * [taylor]: Taking taylor expansion of 2 in k 96.205 * [backup-simplify]: Simplify 2 into 2 96.205 * [taylor]: Taking taylor expansion of (/ PI n) in k 96.205 * [taylor]: Taking taylor expansion of PI in k 96.205 * [backup-simplify]: Simplify PI into PI 96.205 * [taylor]: Taking taylor expansion of n in k 96.205 * [backup-simplify]: Simplify n into n 96.205 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 96.205 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 96.205 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 96.206 * [backup-simplify]: Simplify (- 1) into -1 96.206 * [backup-simplify]: Simplify (+ 0 -1) into -1 96.207 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 96.207 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 96.207 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 96.207 * [taylor]: Taking taylor expansion of (sqrt k) in k 96.207 * [taylor]: Taking taylor expansion of k in k 96.207 * [backup-simplify]: Simplify 0 into 0 96.207 * [backup-simplify]: Simplify 1 into 1 96.207 * [backup-simplify]: Simplify (sqrt 0) into 0 96.209 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 96.209 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 96.209 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 96.209 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 96.209 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 96.209 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 96.209 * [taylor]: Taking taylor expansion of 1/2 in n 96.209 * [backup-simplify]: Simplify 1/2 into 1/2 96.209 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 96.209 * [taylor]: Taking taylor expansion of 1 in n 96.209 * [backup-simplify]: Simplify 1 into 1 96.209 * [taylor]: Taking taylor expansion of (/ 1 k) in n 96.209 * [taylor]: Taking taylor expansion of k in n 96.209 * [backup-simplify]: Simplify k into k 96.209 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 96.209 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 96.209 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 96.209 * [taylor]: Taking taylor expansion of 2 in n 96.209 * [backup-simplify]: Simplify 2 into 2 96.209 * [taylor]: Taking taylor expansion of (/ PI n) in n 96.209 * [taylor]: Taking taylor expansion of PI in n 96.209 * [backup-simplify]: Simplify PI into PI 96.210 * [taylor]: Taking taylor expansion of n in n 96.210 * [backup-simplify]: Simplify 0 into 0 96.210 * [backup-simplify]: Simplify 1 into 1 96.210 * [backup-simplify]: Simplify (/ PI 1) into PI 96.211 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 96.212 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 96.212 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 96.212 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 96.212 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 96.213 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 96.214 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 96.215 * [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))))) 96.215 * [taylor]: Taking taylor expansion of (sqrt k) in n 96.215 * [taylor]: Taking taylor expansion of k in n 96.215 * [backup-simplify]: Simplify k into k 96.215 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 96.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 96.216 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 96.216 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 96.216 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 96.216 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 96.216 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 96.216 * [taylor]: Taking taylor expansion of 1/2 in n 96.216 * [backup-simplify]: Simplify 1/2 into 1/2 96.216 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 96.216 * [taylor]: Taking taylor expansion of 1 in n 96.216 * [backup-simplify]: Simplify 1 into 1 96.216 * [taylor]: Taking taylor expansion of (/ 1 k) in n 96.216 * [taylor]: Taking taylor expansion of k in n 96.216 * [backup-simplify]: Simplify k into k 96.216 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 96.216 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 96.216 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 96.216 * [taylor]: Taking taylor expansion of 2 in n 96.216 * [backup-simplify]: Simplify 2 into 2 96.216 * [taylor]: Taking taylor expansion of (/ PI n) in n 96.216 * [taylor]: Taking taylor expansion of PI in n 96.216 * [backup-simplify]: Simplify PI into PI 96.216 * [taylor]: Taking taylor expansion of n in n 96.216 * [backup-simplify]: Simplify 0 into 0 96.216 * [backup-simplify]: Simplify 1 into 1 96.217 * [backup-simplify]: Simplify (/ PI 1) into PI 96.217 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 96.218 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 96.218 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 96.218 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 96.218 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 96.220 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 96.221 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 96.222 * [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))))) 96.222 * [taylor]: Taking taylor expansion of (sqrt k) in n 96.222 * [taylor]: Taking taylor expansion of k in n 96.222 * [backup-simplify]: Simplify k into k 96.222 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 96.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 96.223 * [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)) 96.223 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 96.223 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 96.223 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 96.223 * [taylor]: Taking taylor expansion of 1/2 in k 96.223 * [backup-simplify]: Simplify 1/2 into 1/2 96.223 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 96.223 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 96.223 * [taylor]: Taking taylor expansion of 1 in k 96.223 * [backup-simplify]: Simplify 1 into 1 96.224 * [taylor]: Taking taylor expansion of (/ 1 k) in k 96.224 * [taylor]: Taking taylor expansion of k in k 96.224 * [backup-simplify]: Simplify 0 into 0 96.224 * [backup-simplify]: Simplify 1 into 1 96.224 * [backup-simplify]: Simplify (/ 1 1) into 1 96.224 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 96.224 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 96.224 * [taylor]: Taking taylor expansion of (* 2 PI) in k 96.224 * [taylor]: Taking taylor expansion of 2 in k 96.224 * [backup-simplify]: Simplify 2 into 2 96.224 * [taylor]: Taking taylor expansion of PI in k 96.224 * [backup-simplify]: Simplify PI into PI 96.225 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 96.226 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 96.226 * [taylor]: Taking taylor expansion of (log n) in k 96.226 * [taylor]: Taking taylor expansion of n in k 96.226 * [backup-simplify]: Simplify n into n 96.226 * [backup-simplify]: Simplify (log n) into (log n) 96.226 * [backup-simplify]: Simplify (- 1) into -1 96.226 * [backup-simplify]: Simplify (+ 0 -1) into -1 96.227 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 96.228 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 96.229 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 96.230 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 96.231 * [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))))) 96.231 * [taylor]: Taking taylor expansion of (sqrt k) in k 96.231 * [taylor]: Taking taylor expansion of k in k 96.231 * [backup-simplify]: Simplify 0 into 0 96.231 * [backup-simplify]: Simplify 1 into 1 96.231 * [backup-simplify]: Simplify (sqrt 0) into 0 96.232 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 96.234 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 96.234 * [backup-simplify]: Simplify 0 into 0 96.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 96.235 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 96.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 96.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 96.238 * [backup-simplify]: Simplify (- 0) into 0 96.238 * [backup-simplify]: Simplify (+ 0 0) into 0 96.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 96.240 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 96.241 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 96.243 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 96.244 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 96.244 * [taylor]: Taking taylor expansion of 0 in k 96.244 * [backup-simplify]: Simplify 0 into 0 96.244 * [backup-simplify]: Simplify 0 into 0 96.245 * [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))))))) 96.247 * [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))))))) 96.247 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 96.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 96.249 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 96.253 * [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 96.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 96.254 * [backup-simplify]: Simplify (- 0) into 0 96.254 * [backup-simplify]: Simplify (+ 0 0) into 0 96.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 96.257 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 96.258 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 96.261 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 96.262 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 96.262 * [taylor]: Taking taylor expansion of 0 in k 96.262 * [backup-simplify]: Simplify 0 into 0 96.262 * [backup-simplify]: Simplify 0 into 0 96.262 * [backup-simplify]: Simplify 0 into 0 96.266 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 96.267 * [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))))))) 96.268 * [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))))))) 96.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 96.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 96.272 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 96.277 * [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 96.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 96.278 * [backup-simplify]: Simplify (- 0) into 0 96.278 * [backup-simplify]: Simplify (+ 0 0) into 0 96.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 96.281 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 96.283 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 96.286 * [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 96.288 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 96.288 * [taylor]: Taking taylor expansion of 0 in k 96.288 * [backup-simplify]: Simplify 0 into 0 96.288 * [backup-simplify]: Simplify 0 into 0 96.288 * [backup-simplify]: Simplify 0 into 0 96.288 * [backup-simplify]: Simplify 0 into 0 96.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 96.294 * [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))))))) 96.297 * [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))))))) 96.301 * [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)))))))) 96.302 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (pow (/ 1 (- k)) -1/2)) into (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) 96.302 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (n k) around 0 96.302 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 96.302 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k 96.302 * [taylor]: Taking taylor expansion of (/ k -1) in k 96.302 * [taylor]: Taking taylor expansion of k in k 96.302 * [backup-simplify]: Simplify 0 into 0 96.302 * [backup-simplify]: Simplify 1 into 1 96.302 * [taylor]: Taking taylor expansion of -1 in k 96.302 * [backup-simplify]: Simplify -1 into -1 96.303 * [backup-simplify]: Simplify (/ 1 -1) into -1 96.303 * [backup-simplify]: Simplify (sqrt 0) into 0 96.305 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 96.305 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 96.305 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 96.305 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 96.305 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 96.305 * [taylor]: Taking taylor expansion of 1/2 in k 96.305 * [backup-simplify]: Simplify 1/2 into 1/2 96.305 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 96.305 * [taylor]: Taking taylor expansion of (/ 1 k) in k 96.305 * [taylor]: Taking taylor expansion of k in k 96.305 * [backup-simplify]: Simplify 0 into 0 96.305 * [backup-simplify]: Simplify 1 into 1 96.306 * [backup-simplify]: Simplify (/ 1 1) into 1 96.306 * [taylor]: Taking taylor expansion of 1 in k 96.306 * [backup-simplify]: Simplify 1 into 1 96.306 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 96.306 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 96.306 * [taylor]: Taking taylor expansion of -2 in k 96.306 * [backup-simplify]: Simplify -2 into -2 96.306 * [taylor]: Taking taylor expansion of (/ PI n) in k 96.306 * [taylor]: Taking taylor expansion of PI in k 96.306 * [backup-simplify]: Simplify PI into PI 96.306 * [taylor]: Taking taylor expansion of n in k 96.306 * [backup-simplify]: Simplify n into n 96.306 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 96.306 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 96.306 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 96.307 * [backup-simplify]: Simplify (+ 1 0) into 1 96.307 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 96.307 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 96.307 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 96.307 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 96.307 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n 96.307 * [taylor]: Taking taylor expansion of (/ k -1) in n 96.307 * [taylor]: Taking taylor expansion of k in n 96.308 * [backup-simplify]: Simplify k into k 96.308 * [taylor]: Taking taylor expansion of -1 in n 96.308 * [backup-simplify]: Simplify -1 into -1 96.308 * [backup-simplify]: Simplify (/ k -1) into (* -1 k) 96.308 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 96.309 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 96.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 96.309 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 96.309 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 96.309 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 96.309 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 96.309 * [taylor]: Taking taylor expansion of 1/2 in n 96.309 * [backup-simplify]: Simplify 1/2 into 1/2 96.309 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 96.309 * [taylor]: Taking taylor expansion of (/ 1 k) in n 96.309 * [taylor]: Taking taylor expansion of k in n 96.309 * [backup-simplify]: Simplify k into k 96.309 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 96.309 * [taylor]: Taking taylor expansion of 1 in n 96.309 * [backup-simplify]: Simplify 1 into 1 96.309 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 96.309 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 96.309 * [taylor]: Taking taylor expansion of -2 in n 96.309 * [backup-simplify]: Simplify -2 into -2 96.309 * [taylor]: Taking taylor expansion of (/ PI n) in n 96.309 * [taylor]: Taking taylor expansion of PI in n 96.309 * [backup-simplify]: Simplify PI into PI 96.309 * [taylor]: Taking taylor expansion of n in n 96.309 * [backup-simplify]: Simplify 0 into 0 96.309 * [backup-simplify]: Simplify 1 into 1 96.310 * [backup-simplify]: Simplify (/ PI 1) into PI 96.310 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 96.311 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 96.311 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 96.312 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 96.313 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 96.314 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 96.315 * [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))))) 96.315 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 96.315 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n 96.315 * [taylor]: Taking taylor expansion of (/ k -1) in n 96.315 * [taylor]: Taking taylor expansion of k in n 96.315 * [backup-simplify]: Simplify k into k 96.315 * [taylor]: Taking taylor expansion of -1 in n 96.315 * [backup-simplify]: Simplify -1 into -1 96.315 * [backup-simplify]: Simplify (/ k -1) into (* -1 k) 96.315 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 96.316 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 96.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 96.316 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 96.316 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 96.316 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 96.316 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 96.316 * [taylor]: Taking taylor expansion of 1/2 in n 96.316 * [backup-simplify]: Simplify 1/2 into 1/2 96.316 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 96.316 * [taylor]: Taking taylor expansion of (/ 1 k) in n 96.316 * [taylor]: Taking taylor expansion of k in n 96.316 * [backup-simplify]: Simplify k into k 96.316 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 96.316 * [taylor]: Taking taylor expansion of 1 in n 96.316 * [backup-simplify]: Simplify 1 into 1 96.316 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 96.316 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 96.316 * [taylor]: Taking taylor expansion of -2 in n 96.316 * [backup-simplify]: Simplify -2 into -2 96.316 * [taylor]: Taking taylor expansion of (/ PI n) in n 96.316 * [taylor]: Taking taylor expansion of PI in n 96.316 * [backup-simplify]: Simplify PI into PI 96.316 * [taylor]: Taking taylor expansion of n in n 96.316 * [backup-simplify]: Simplify 0 into 0 96.316 * [backup-simplify]: Simplify 1 into 1 96.317 * [backup-simplify]: Simplify (/ PI 1) into PI 96.317 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 96.318 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 96.318 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 96.318 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 96.319 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 96.319 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 96.320 * [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))))) 96.321 * [backup-simplify]: Simplify (* (sqrt (* -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* (sqrt (* -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 96.321 * [taylor]: Taking taylor expansion of (* (sqrt (* -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) in k 96.321 * [taylor]: Taking taylor expansion of (sqrt (* -1 k)) in k 96.321 * [taylor]: Taking taylor expansion of (* -1 k) in k 96.321 * [taylor]: Taking taylor expansion of -1 in k 96.321 * [backup-simplify]: Simplify -1 into -1 96.321 * [taylor]: Taking taylor expansion of k in k 96.321 * [backup-simplify]: Simplify 0 into 0 96.321 * [backup-simplify]: Simplify 1 into 1 96.321 * [backup-simplify]: Simplify (* -1 0) into 0 96.321 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 96.322 * [backup-simplify]: Simplify (sqrt 0) into 0 96.323 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 96.323 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 96.323 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 96.323 * [taylor]: Taking taylor expansion of 1/2 in k 96.323 * [backup-simplify]: Simplify 1/2 into 1/2 96.323 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 96.323 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 96.323 * [taylor]: Taking taylor expansion of (/ 1 k) in k 96.323 * [taylor]: Taking taylor expansion of k in k 96.323 * [backup-simplify]: Simplify 0 into 0 96.323 * [backup-simplify]: Simplify 1 into 1 96.327 * [backup-simplify]: Simplify (/ 1 1) into 1 96.328 * [taylor]: Taking taylor expansion of 1 in k 96.328 * [backup-simplify]: Simplify 1 into 1 96.328 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 96.328 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 96.328 * [taylor]: Taking taylor expansion of (* -2 PI) in k 96.328 * [taylor]: Taking taylor expansion of -2 in k 96.328 * [backup-simplify]: Simplify -2 into -2 96.328 * [taylor]: Taking taylor expansion of PI in k 96.328 * [backup-simplify]: Simplify PI into PI 96.328 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 96.329 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 96.329 * [taylor]: Taking taylor expansion of (log n) in k 96.329 * [taylor]: Taking taylor expansion of n in k 96.329 * [backup-simplify]: Simplify n into n 96.329 * [backup-simplify]: Simplify (log n) into (log n) 96.329 * [backup-simplify]: Simplify (+ 1 0) into 1 96.329 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 96.330 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 96.330 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 96.331 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 96.332 * [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))))) 96.333 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into 0 96.333 * [backup-simplify]: Simplify 0 into 0 96.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 96.334 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 96.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 96.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 96.335 * [backup-simplify]: Simplify (+ 0 0) into 0 96.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 96.336 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 96.337 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 96.338 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 96.339 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 96.339 * [taylor]: Taking taylor expansion of 0 in k 96.339 * [backup-simplify]: Simplify 0 into 0 96.339 * [backup-simplify]: Simplify 0 into 0 96.340 * [backup-simplify]: Simplify (+ (* 0 0) (* +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))))))) 96.340 * [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))))))) 96.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 96.342 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 96.343 * [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 96.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 96.344 * [backup-simplify]: Simplify (+ 0 0) into 0 96.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 96.345 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 96.346 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 96.348 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 96.348 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 96.349 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* -1 k)))) into 0 96.350 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0 96.350 * [taylor]: Taking taylor expansion of 0 in k 96.350 * [backup-simplify]: Simplify 0 into 0 96.350 * [backup-simplify]: Simplify 0 into 0 96.350 * [backup-simplify]: Simplify 0 into 0 96.350 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 96.352 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 96.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +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))))))) 96.354 * [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))))))) 96.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 96.356 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 96.359 * [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 96.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 96.359 * [backup-simplify]: Simplify (+ 0 0) into 0 96.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 96.361 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 96.362 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 96.364 * [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 96.365 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 96.365 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* -1 k)))) into 0 96.367 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0 96.367 * [taylor]: Taking taylor expansion of 0 in k 96.367 * [backup-simplify]: Simplify 0 into 0 96.367 * [backup-simplify]: Simplify 0 into 0 96.367 * [backup-simplify]: Simplify 0 into 0 96.367 * [backup-simplify]: Simplify 0 into 0 96.367 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 96.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 96.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +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))))))) 96.372 * [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))))))) 96.375 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 3)) (+ (* (- (* +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)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +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)))))) k))))))) 96.375 * * * [progress]: simplifying candidates 96.375 * * * * [progress]: [ 1 / 112 ] simplifiying candidate # 96.375 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 96.375 * * [simplify]: iters left: 6 (13 enodes) 96.383 * * [simplify]: iters left: 5 (54 enodes) 96.401 * * [simplify]: iters left: 4 (97 enodes) 96.444 * * [simplify]: iters left: 3 (244 enodes) 96.531 * * [simplify]: Extracting #0: cost 1 inf + 0 96.531 * * [simplify]: Extracting #1: cost 31 inf + 0 96.531 * * [simplify]: Extracting #2: cost 128 inf + 2 96.533 * * [simplify]: Extracting #3: cost 162 inf + 1217 96.536 * * [simplify]: Extracting #4: cost 110 inf + 9712 96.545 * * [simplify]: Extracting #5: cost 12 inf + 38675 96.552 * * [simplify]: Extracting #6: cost 0 inf + 42408 96.560 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 96.560 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (pow k -1/2))) 96.561 * * * * [progress]: [ 2 / 112 ] simplifiying candidate # 96.561 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 96.561 * * [simplify]: iters left: 6 (12 enodes) 96.565 * * [simplify]: iters left: 5 (52 enodes) 96.580 * * [simplify]: iters left: 4 (90 enodes) 96.604 * * [simplify]: iters left: 3 (203 enodes) 96.658 * * [simplify]: Extracting #0: cost 1 inf + 0 96.658 * * [simplify]: Extracting #1: cost 29 inf + 0 96.658 * * [simplify]: Extracting #2: cost 112 inf + 2 96.658 * * [simplify]: Extracting #3: cost 149 inf + 341 96.660 * * [simplify]: Extracting #4: cost 110 inf + 5554 96.664 * * [simplify]: Extracting #5: cost 30 inf + 23496 96.669 * * [simplify]: Extracting #6: cost 1 inf + 31878 96.675 * * [simplify]: Extracting #7: cost 0 inf + 32142 96.683 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 96.683 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (pow k -1/2))) 96.683 * * * * [progress]: [ 3 / 112 ] simplifiying candidate # 96.683 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 96.683 * * [simplify]: iters left: 6 (11 enodes) 96.689 * * [simplify]: iters left: 5 (51 enodes) 96.698 * * [simplify]: iters left: 4 (97 enodes) 96.719 * * [simplify]: iters left: 3 (199 enodes) 96.789 * * [simplify]: Extracting #0: cost 1 inf + 0 96.789 * * [simplify]: Extracting #1: cost 32 inf + 0 96.790 * * [simplify]: Extracting #2: cost 113 inf + 2 96.791 * * [simplify]: Extracting #3: cost 154 inf + 200 96.792 * * [simplify]: Extracting #4: cost 123 inf + 3386 96.797 * * [simplify]: Extracting #5: cost 47 inf + 17339 96.808 * * [simplify]: Extracting #6: cost 3 inf + 27690 96.821 * * [simplify]: Extracting #7: cost 0 inf + 28612 96.827 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 96.827 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (pow k -1/2))) 96.827 * * * * [progress]: [ 4 / 112 ] simplifiying candidate # 96.827 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 96.827 * * [simplify]: iters left: 6 (11 enodes) 96.831 * * [simplify]: iters left: 5 (51 enodes) 96.840 * * [simplify]: iters left: 4 (97 enodes) 96.864 * * [simplify]: iters left: 3 (199 enodes) 96.920 * * [simplify]: Extracting #0: cost 1 inf + 0 96.921 * * [simplify]: Extracting #1: cost 32 inf + 0 96.921 * * [simplify]: Extracting #2: cost 113 inf + 2 96.922 * * [simplify]: Extracting #3: cost 154 inf + 200 96.923 * * [simplify]: Extracting #4: cost 123 inf + 3386 96.925 * * [simplify]: Extracting #5: cost 47 inf + 17339 96.930 * * [simplify]: Extracting #6: cost 3 inf + 27690 96.937 * * [simplify]: Extracting #7: cost 0 inf + 28612 96.948 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 96.948 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (pow k -1/2))) 96.948 * * * * [progress]: [ 5 / 112 ] simplifiying candidate # 96.948 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 96.948 * * [simplify]: iters left: 6 (6 enodes) 96.951 * * [simplify]: iters left: 5 (27 enodes) 96.956 * * [simplify]: iters left: 4 (47 enodes) 96.964 * * [simplify]: iters left: 3 (59 enodes) 96.974 * * [simplify]: iters left: 2 (77 enodes) 97.001 * * [simplify]: iters left: 1 (104 enodes) 97.015 * * [simplify]: Extracting #0: cost 1 inf + 0 97.015 * * [simplify]: Extracting #1: cost 9 inf + 0 97.015 * * [simplify]: Extracting #2: cost 18 inf + 3 97.015 * * [simplify]: Extracting #3: cost 15 inf + 131 97.016 * * [simplify]: Extracting #4: cost 2 inf + 962 97.016 * * [simplify]: Extracting #5: cost 0 inf + 1086 97.016 * [simplify]: Simplified to (* 1/2 (- 1 k)) 97.017 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (pow k -1/2))) 97.017 * * * * [progress]: [ 6 / 112 ] simplifiying candidate # 97.017 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 97.017 * * [simplify]: iters left: 6 (6 enodes) 97.020 * * [simplify]: iters left: 5 (27 enodes) 97.025 * * [simplify]: iters left: 4 (47 enodes) 97.033 * * [simplify]: iters left: 3 (59 enodes) 97.052 * * [simplify]: iters left: 2 (77 enodes) 97.067 * * [simplify]: iters left: 1 (104 enodes) 97.080 * * [simplify]: Extracting #0: cost 1 inf + 0 97.080 * * [simplify]: Extracting #1: cost 9 inf + 0 97.080 * * [simplify]: Extracting #2: cost 18 inf + 3 97.081 * * [simplify]: Extracting #3: cost 15 inf + 131 97.081 * * [simplify]: Extracting #4: cost 2 inf + 962 97.081 * * [simplify]: Extracting #5: cost 0 inf + 1086 97.082 * [simplify]: Simplified to (* 1/2 (- 1 k)) 97.082 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (pow k -1/2))) 97.082 * * * * [progress]: [ 7 / 112 ] simplifiying candidate # 97.082 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 97.082 * * [simplify]: iters left: 6 (6 enodes) 97.084 * * [simplify]: iters left: 5 (27 enodes) 97.095 * * [simplify]: iters left: 4 (47 enodes) 97.105 * * [simplify]: iters left: 3 (59 enodes) 97.115 * * [simplify]: iters left: 2 (77 enodes) 97.126 * * [simplify]: iters left: 1 (104 enodes) 97.140 * * [simplify]: Extracting #0: cost 1 inf + 0 97.140 * * [simplify]: Extracting #1: cost 9 inf + 0 97.140 * * [simplify]: Extracting #2: cost 18 inf + 3 97.140 * * [simplify]: Extracting #3: cost 15 inf + 131 97.141 * * [simplify]: Extracting #4: cost 2 inf + 962 97.142 * * [simplify]: Extracting #5: cost 0 inf + 1086 97.142 * [simplify]: Simplified to (* 1/2 (- 1 k)) 97.143 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (pow k -1/2))) 97.143 * * * * [progress]: [ 8 / 112 ] simplifiying candidate # 97.143 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 97.143 * * [simplify]: iters left: 5 (8 enodes) 97.149 * * [simplify]: iters left: 4 (35 enodes) 97.163 * * [simplify]: iters left: 3 (63 enodes) 97.187 * * [simplify]: iters left: 2 (108 enodes) 97.222 * * [simplify]: iters left: 1 (162 enodes) 97.250 * * [simplify]: Extracting #0: cost 1 inf + 0 97.250 * * [simplify]: Extracting #1: cost 12 inf + 0 97.250 * * [simplify]: Extracting #2: cost 40 inf + 2 97.250 * * [simplify]: Extracting #3: cost 40 inf + 9 97.251 * * [simplify]: Extracting #4: cost 25 inf + 2233 97.252 * * [simplify]: Extracting #5: cost 10 inf + 8991 97.253 * * [simplify]: Extracting #6: cost 0 inf + 14572 97.255 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 97.255 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (pow (* n (* 2 PI)) (/ k 2))) (pow k -1/2))) 97.256 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 97.256 * * [simplify]: iters left: 5 (8 enodes) 97.260 * * [simplify]: iters left: 4 (31 enodes) 97.270 * * [simplify]: iters left: 3 (51 enodes) 97.287 * * [simplify]: iters left: 2 (85 enodes) 97.314 * * [simplify]: iters left: 1 (152 enodes) 97.356 * * [simplify]: Extracting #0: cost 1 inf + 0 97.356 * * [simplify]: Extracting #1: cost 13 inf + 0 97.356 * * [simplify]: Extracting #2: cost 60 inf + 1 97.357 * * [simplify]: Extracting #3: cost 75 inf + 9 97.358 * * [simplify]: Extracting #4: cost 41 inf + 3220 97.361 * * [simplify]: Extracting #5: cost 16 inf + 10552 97.366 * * [simplify]: Extracting #6: cost 0 inf + 20904 97.372 * * [simplify]: Extracting #7: cost 0 inf + 20373 97.377 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 97.377 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (pow (* (* n 2) PI) (/ k 2))) (pow k -1/2))) 97.377 * * * * [progress]: [ 9 / 112 ] simplifiying candidate # 97.377 * [simplify]: Simplifying (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 97.378 * * [simplify]: iters left: 6 (12 enodes) 97.382 * * [simplify]: iters left: 5 (51 enodes) 97.391 * * [simplify]: iters left: 4 (79 enodes) 97.403 * * [simplify]: iters left: 3 (118 enodes) 97.425 * * [simplify]: iters left: 2 (199 enodes) 97.467 * * [simplify]: iters left: 1 (354 enodes) 97.667 * * [simplify]: Extracting #0: cost 1 inf + 0 97.667 * * [simplify]: Extracting #1: cost 27 inf + 0 97.668 * * [simplify]: Extracting #2: cost 112 inf + 1 97.669 * * [simplify]: Extracting #3: cost 194 inf + 175 97.671 * * [simplify]: Extracting #4: cost 203 inf + 429 97.673 * * [simplify]: Extracting #5: cost 208 inf + 429 97.675 * * [simplify]: Extracting #6: cost 200 inf + 1412 97.684 * * [simplify]: Extracting #7: cost 93 inf + 27530 97.703 * * [simplify]: Extracting #8: cost 23 inf + 71276 97.725 * * [simplify]: Extracting #9: cost 0 inf + 92839 97.755 * * [simplify]: Extracting #10: cost 0 inf + 91398 97.772 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 97.772 * [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))) (pow k -1/2))) 97.773 * * * * [progress]: [ 10 / 112 ] simplifiying candidate # 97.773 * [simplify]: Simplifying (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) 97.773 * * [simplify]: iters left: 6 (11 enodes) 97.777 * * [simplify]: iters left: 5 (48 enodes) 97.793 * * [simplify]: iters left: 4 (74 enodes) 97.814 * * [simplify]: iters left: 3 (105 enodes) 97.831 * * [simplify]: iters left: 2 (161 enodes) 97.871 * * [simplify]: iters left: 1 (278 enodes) 98.010 * * [simplify]: Extracting #0: cost 1 inf + 0 98.010 * * [simplify]: Extracting #1: cost 29 inf + 0 98.011 * * [simplify]: Extracting #2: cost 103 inf + 1 98.011 * * [simplify]: Extracting #3: cost 133 inf + 174 98.012 * * [simplify]: Extracting #4: cost 132 inf + 388 98.013 * * [simplify]: Extracting #5: cost 129 inf + 556 98.014 * * [simplify]: Extracting #6: cost 86 inf + 11351 98.019 * * [simplify]: Extracting #7: cost 50 inf + 25422 98.033 * * [simplify]: Extracting #8: cost 1 inf + 70565 98.045 * * [simplify]: Extracting #9: cost 0 inf + 71813 98.068 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) 98.068 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (pow k -1/2))) 98.068 * * * * [progress]: [ 11 / 112 ] simplifiying candidate # 98.068 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) 98.068 * * [simplify]: iters left: 6 (14 enodes) 98.076 * * [simplify]: iters left: 5 (59 enodes) 98.097 * * [simplify]: iters left: 4 (104 enodes) 98.130 * * [simplify]: iters left: 3 (186 enodes) 98.206 * * [simplify]: iters left: 2 (434 enodes) 98.423 * * [simplify]: Extracting #0: cost 1 inf + 0 98.423 * * [simplify]: Extracting #1: cost 12 inf + 0 98.423 * * [simplify]: Extracting #2: cost 112 inf + 1 98.424 * * [simplify]: Extracting #3: cost 232 inf + 215 98.425 * * [simplify]: Extracting #4: cost 230 inf + 1838 98.428 * * [simplify]: Extracting #5: cost 162 inf + 17856 98.439 * * [simplify]: Extracting #6: cost 33 inf + 62390 98.454 * * [simplify]: Extracting #7: cost 2 inf + 84429 98.473 * * [simplify]: Extracting #8: cost 0 inf + 84580 98.502 * * [simplify]: Extracting #9: cost 0 inf + 84291 98.534 * * [simplify]: Extracting #10: cost 0 inf + 84213 98.560 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 98.560 * [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))) (pow k -1/2))) 98.560 * * * * [progress]: [ 12 / 112 ] simplifiying candidate # 98.561 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) 98.561 * * [simplify]: iters left: 6 (13 enodes) 98.564 * * [simplify]: iters left: 5 (52 enodes) 98.573 * * [simplify]: iters left: 4 (82 enodes) 98.588 * * [simplify]: iters left: 3 (136 enodes) 98.623 * * [simplify]: iters left: 2 (272 enodes) 98.757 * * [simplify]: Extracting #0: cost 1 inf + 0 98.757 * * [simplify]: Extracting #1: cost 12 inf + 0 98.758 * * [simplify]: Extracting #2: cost 88 inf + 1 98.759 * * [simplify]: Extracting #3: cost 151 inf + 6 98.760 * * [simplify]: Extracting #4: cost 144 inf + 992 98.762 * * [simplify]: Extracting #5: cost 131 inf + 2339 98.768 * * [simplify]: Extracting #6: cost 59 inf + 21693 98.783 * * [simplify]: Extracting #7: cost 9 inf + 46808 98.802 * * [simplify]: Extracting #8: cost 0 inf + 55030 98.821 * * [simplify]: Extracting #9: cost 0 inf + 54610 98.832 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) 98.832 * [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))) (pow k -1/2))) 98.832 * * * * [progress]: [ 13 / 112 ] simplifiying candidate # 98.832 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 98.832 * * [simplify]: iters left: 6 (12 enodes) 98.838 * * [simplify]: iters left: 5 (47 enodes) 98.847 * * [simplify]: iters left: 4 (83 enodes) 98.861 * * [simplify]: iters left: 3 (123 enodes) 98.894 * * [simplify]: iters left: 2 (221 enodes) 98.957 * * [simplify]: iters left: 1 (473 enodes) 99.292 * * [simplify]: Extracting #0: cost 1 inf + 0 99.292 * * [simplify]: Extracting #1: cost 34 inf + 0 99.293 * * [simplify]: Extracting #2: cost 135 inf + 1 99.294 * * [simplify]: Extracting #3: cost 212 inf + 136 99.295 * * [simplify]: Extracting #4: cost 213 inf + 431 99.296 * * [simplify]: Extracting #5: cost 211 inf + 515 99.299 * * [simplify]: Extracting #6: cost 142 inf + 14322 99.308 * * [simplify]: Extracting #7: cost 51 inf + 52633 99.332 * * [simplify]: Extracting #8: cost 11 inf + 89338 99.358 * * [simplify]: Extracting #9: cost 0 inf + 103865 99.385 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) 99.385 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2)) (pow k -1/2))) 99.385 * * * * [progress]: [ 14 / 112 ] simplifiying candidate # 99.386 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 99.386 * * [simplify]: iters left: 6 (13 enodes) 99.393 * * [simplify]: iters left: 5 (52 enodes) 99.410 * * [simplify]: iters left: 4 (80 enodes) 99.428 * * [simplify]: iters left: 3 (128 enodes) 99.452 * * [simplify]: iters left: 2 (246 enodes) 99.524 * * [simplify]: iters left: 1 (489 enodes) 99.864 * * [simplify]: Extracting #0: cost 1 inf + 0 99.864 * * [simplify]: Extracting #1: cost 30 inf + 0 99.865 * * [simplify]: Extracting #2: cost 204 inf + 1 99.866 * * [simplify]: Extracting #3: cost 422 inf + 743 99.869 * * [simplify]: Extracting #4: cost 379 inf + 9404 99.872 * * [simplify]: Extracting #5: cost 350 inf + 14022 99.882 * * [simplify]: Extracting #6: cost 172 inf + 57888 99.917 * * [simplify]: Extracting #7: cost 16 inf + 135359 99.977 * * [simplify]: Extracting #8: cost 0 inf + 150451 100.034 * * [simplify]: Extracting #9: cost 0 inf + 149971 100.090 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) 100.090 * [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))) (pow k -1/2))) 100.090 * * * * [progress]: [ 15 / 112 ] simplifiying candidate # 100.090 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) 100.091 * * [simplify]: iters left: 6 (12 enodes) 100.098 * * [simplify]: iters left: 5 (47 enodes) 100.106 * * [simplify]: iters left: 4 (71 enodes) 100.117 * * [simplify]: iters left: 3 (109 enodes) 100.139 * * [simplify]: iters left: 2 (192 enodes) 100.212 * * [simplify]: iters left: 1 (357 enodes) 100.417 * * [simplify]: Extracting #0: cost 1 inf + 0 100.417 * * [simplify]: Extracting #1: cost 29 inf + 0 100.417 * * [simplify]: Extracting #2: cost 135 inf + 1 100.418 * * [simplify]: Extracting #3: cost 251 inf + 255 100.420 * * [simplify]: Extracting #4: cost 225 inf + 3400 100.421 * * [simplify]: Extracting #5: cost 205 inf + 5445 100.426 * * [simplify]: Extracting #6: cost 122 inf + 23316 100.436 * * [simplify]: Extracting #7: cost 43 inf + 53612 100.466 * * [simplify]: Extracting #8: cost 2 inf + 92427 100.501 * * [simplify]: Extracting #9: cost 0 inf + 94805 100.524 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 100.524 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (pow k -1/2))) 100.525 * * * * [progress]: [ 16 / 112 ] simplifiying candidate # 100.525 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) 100.525 * * [simplify]: iters left: 6 (11 enodes) 100.528 * * [simplify]: iters left: 5 (42 enodes) 100.535 * * [simplify]: iters left: 4 (64 enodes) 100.547 * * [simplify]: iters left: 3 (98 enodes) 100.575 * * [simplify]: iters left: 2 (156 enodes) 100.606 * * [simplify]: iters left: 1 (280 enodes) 100.732 * * [simplify]: Extracting #0: cost 1 inf + 0 100.732 * * [simplify]: Extracting #1: cost 30 inf + 0 100.733 * * [simplify]: Extracting #2: cost 110 inf + 1 100.734 * * [simplify]: Extracting #3: cost 133 inf + 133 100.735 * * [simplify]: Extracting #4: cost 128 inf + 429 100.736 * * [simplify]: Extracting #5: cost 118 inf + 1666 100.742 * * [simplify]: Extracting #6: cost 62 inf + 21931 100.759 * * [simplify]: Extracting #7: cost 7 inf + 67089 100.780 * * [simplify]: Extracting #8: cost 0 inf + 70630 100.806 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (- 1 k))) 100.806 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)) (pow k -1/2))) 100.806 * * * * [progress]: [ 17 / 112 ] simplifiying candidate # 100.806 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 100.806 * * [simplify]: iters left: 6 (10 enodes) 100.813 * * [simplify]: iters left: 5 (41 enodes) 100.826 * * [simplify]: iters left: 4 (66 enodes) 100.849 * * [simplify]: iters left: 3 (116 enodes) 100.890 * * [simplify]: iters left: 2 (219 enodes) 100.978 * * [simplify]: iters left: 1 (499 enodes) 101.315 * * [simplify]: Extracting #0: cost 1 inf + 0 101.315 * * [simplify]: Extracting #1: cost 35 inf + 0 101.316 * * [simplify]: Extracting #2: cost 129 inf + 1 101.318 * * [simplify]: Extracting #3: cost 198 inf + 827 101.325 * * [simplify]: Extracting #4: cost 122 inf + 18089 101.347 * * [simplify]: Extracting #5: cost 25 inf + 62444 101.379 * * [simplify]: Extracting #6: cost 0 inf + 84055 101.413 * * [simplify]: Extracting #7: cost 0 inf + 83884 101.450 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 101.450 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2))) 101.450 * * * * [progress]: [ 18 / 112 ] simplifiying candidate # 101.451 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 101.451 * * [simplify]: iters left: 5 (9 enodes) 101.454 * * [simplify]: iters left: 4 (36 enodes) 101.460 * * [simplify]: iters left: 3 (57 enodes) 101.471 * * [simplify]: iters left: 2 (96 enodes) 101.495 * * [simplify]: iters left: 1 (171 enodes) 101.534 * * [simplify]: Extracting #0: cost 1 inf + 0 101.534 * * [simplify]: Extracting #1: cost 12 inf + 0 101.534 * * [simplify]: Extracting #2: cost 50 inf + 1 101.535 * * [simplify]: Extracting #3: cost 73 inf + 6 101.536 * * [simplify]: Extracting #4: cost 58 inf + 1463 101.537 * * [simplify]: Extracting #5: cost 24 inf + 7936 101.540 * * [simplify]: Extracting #6: cost 2 inf + 20820 101.543 * * [simplify]: Extracting #7: cost 0 inf + 22437 101.546 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 101.546 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2))) 101.547 * * * * [progress]: [ 19 / 112 ] simplifiying candidate # 101.547 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 101.547 * * [simplify]: iters left: 5 (8 enodes) 101.550 * * [simplify]: iters left: 4 (34 enodes) 101.559 * * [simplify]: iters left: 3 (64 enodes) 101.580 * * [simplify]: iters left: 2 (105 enodes) 101.599 * * [simplify]: iters left: 1 (177 enodes) 101.638 * * [simplify]: Extracting #0: cost 1 inf + 0 101.638 * * [simplify]: Extracting #1: cost 17 inf + 0 101.638 * * [simplify]: Extracting #2: cost 34 inf + 46 101.638 * * [simplify]: Extracting #3: cost 26 inf + 466 101.639 * * [simplify]: Extracting #4: cost 11 inf + 6543 101.640 * * [simplify]: Extracting #5: cost 1 inf + 10885 101.641 * * [simplify]: Extracting #6: cost 0 inf + 11179 101.643 * [simplify]: Simplified to (* (* PI 2) n) 101.643 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow k -1/2))) 101.643 * * * * [progress]: [ 20 / 112 ] simplifiying candidate # 101.643 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) 101.643 * * [simplify]: iters left: 6 (14 enodes) 101.648 * * [simplify]: iters left: 5 (54 enodes) 101.656 * * [simplify]: iters left: 4 (79 enodes) 101.681 * * [simplify]: iters left: 3 (128 enodes) 101.716 * * [simplify]: iters left: 2 (254 enodes) 101.780 * * [simplify]: Extracting #0: cost 1 inf + 0 101.780 * * [simplify]: Extracting #1: cost 12 inf + 0 101.780 * * [simplify]: Extracting #2: cost 77 inf + 1 101.781 * * [simplify]: Extracting #3: cost 138 inf + 6 101.783 * * [simplify]: Extracting #4: cost 119 inf + 2891 101.785 * * [simplify]: Extracting #5: cost 99 inf + 5644 101.789 * * [simplify]: Extracting #6: cost 51 inf + 18419 101.796 * * [simplify]: Extracting #7: cost 9 inf + 40691 101.806 * * [simplify]: Extracting #8: cost 1 inf + 49261 101.814 * * [simplify]: Extracting #9: cost 0 inf + 50208 101.822 * * [simplify]: Extracting #10: cost 0 inf + 50077 101.830 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 101.830 * [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))) (pow k -1/2))) 101.831 * * * * [progress]: [ 21 / 112 ] simplifiying candidate # 101.831 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) 101.831 * * [simplify]: iters left: 6 (13 enodes) 101.839 * * [simplify]: iters left: 5 (49 enodes) 101.855 * * [simplify]: iters left: 4 (70 enodes) 101.876 * * [simplify]: iters left: 3 (109 enodes) 101.914 * * [simplify]: iters left: 2 (197 enodes) 101.989 * * [simplify]: iters left: 1 (357 enodes) 102.173 * * [simplify]: Extracting #0: cost 1 inf + 0 102.173 * * [simplify]: Extracting #1: cost 28 inf + 0 102.174 * * [simplify]: Extracting #2: cost 146 inf + 1 102.175 * * [simplify]: Extracting #3: cost 239 inf + 259 102.176 * * [simplify]: Extracting #4: cost 243 inf + 429 102.178 * * [simplify]: Extracting #5: cost 195 inf + 6376 102.189 * * [simplify]: Extracting #6: cost 76 inf + 35704 102.214 * * [simplify]: Extracting #7: cost 17 inf + 74273 102.252 * * [simplify]: Extracting #8: cost 0 inf + 91451 102.285 * * [simplify]: Extracting #9: cost 0 inf + 90789 102.313 * * [simplify]: Extracting #10: cost 0 inf + 90459 102.330 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 102.330 * [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))) (pow k -1/2))) 102.330 * * * * [progress]: [ 22 / 112 ] simplifiying candidate # 102.331 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) 102.331 * * [simplify]: iters left: 6 (12 enodes) 102.335 * * [simplify]: iters left: 5 (44 enodes) 102.342 * * [simplify]: iters left: 4 (63 enodes) 102.357 * * [simplify]: iters left: 3 (96 enodes) 102.391 * * [simplify]: iters left: 2 (161 enodes) 102.448 * * [simplify]: iters left: 1 (288 enodes) 102.592 * * [simplify]: Extracting #0: cost 1 inf + 0 102.592 * * [simplify]: Extracting #1: cost 29 inf + 0 102.593 * * [simplify]: Extracting #2: cost 96 inf + 1 102.593 * * [simplify]: Extracting #3: cost 129 inf + 215 102.594 * * [simplify]: Extracting #4: cost 121 inf + 594 102.596 * * [simplify]: Extracting #5: cost 77 inf + 9882 102.600 * * [simplify]: Extracting #6: cost 29 inf + 35322 102.612 * * [simplify]: Extracting #7: cost 0 inf + 61789 102.621 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 102.621 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- (sqrt 1) (sqrt k)) 2)) (pow k -1/2))) 102.622 * * * * [progress]: [ 23 / 112 ] simplifiying candidate # 102.622 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 102.622 * * [simplify]: iters left: 6 (13 enodes) 102.626 * * [simplify]: iters left: 5 (51 enodes) 102.635 * * [simplify]: iters left: 4 (76 enodes) 102.655 * * [simplify]: iters left: 3 (124 enodes) 102.698 * * [simplify]: iters left: 2 (250 enodes) 102.792 * * [simplify]: Extracting #0: cost 1 inf + 0 102.792 * * [simplify]: Extracting #1: cost 13 inf + 0 102.792 * * [simplify]: Extracting #2: cost 76 inf + 1 102.792 * * [simplify]: Extracting #3: cost 135 inf + 209 102.793 * * [simplify]: Extracting #4: cost 120 inf + 2806 102.794 * * [simplify]: Extracting #5: cost 101 inf + 5276 102.796 * * [simplify]: Extracting #6: cost 81 inf + 11120 102.801 * * [simplify]: Extracting #7: cost 26 inf + 32887 102.813 * * [simplify]: Extracting #8: cost 2 inf + 46287 102.828 * * [simplify]: Extracting #9: cost 0 inf + 47832 102.836 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 102.836 * [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))) (pow k -1/2))) 102.836 * * * * [progress]: [ 24 / 112 ] simplifiying candidate # 102.836 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) 102.836 * * [simplify]: iters left: 6 (12 enodes) 103.170 * * [simplify]: iters left: 5 (46 enodes) 103.178 * * [simplify]: iters left: 4 (67 enodes) 103.189 * * [simplify]: iters left: 3 (106 enodes) 103.211 * * [simplify]: iters left: 2 (197 enodes) 103.261 * * [simplify]: iters left: 1 (359 enodes) 103.432 * * [simplify]: Extracting #0: cost 1 inf + 0 103.433 * * [simplify]: Extracting #1: cost 30 inf + 0 103.433 * * [simplify]: Extracting #2: cost 139 inf + 1 103.435 * * [simplify]: Extracting #3: cost 235 inf + 257 103.437 * * [simplify]: Extracting #4: cost 220 inf + 2339 103.441 * * [simplify]: Extracting #5: cost 191 inf + 6458 103.454 * * [simplify]: Extracting #6: cost 79 inf + 40757 103.486 * * [simplify]: Extracting #7: cost 5 inf + 90679 103.502 * * [simplify]: Extracting #8: cost 0 inf + 92759 103.519 * * [simplify]: Extracting #9: cost 0 inf + 92308 103.550 * * [simplify]: Extracting #10: cost 0 inf + 92268 103.566 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 103.566 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (pow k -1/2))) 103.566 * * * * [progress]: [ 25 / 112 ] simplifiying candidate # 103.566 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 103.567 * * [simplify]: iters left: 6 (11 enodes) 103.570 * * [simplify]: iters left: 5 (41 enodes) 103.576 * * [simplify]: iters left: 4 (60 enodes) 103.587 * * [simplify]: iters left: 3 (94 enodes) 103.603 * * [simplify]: iters left: 2 (156 enodes) 103.657 * * [simplify]: iters left: 1 (285 enodes) 103.771 * * [simplify]: Extracting #0: cost 1 inf + 0 103.771 * * [simplify]: Extracting #1: cost 29 inf + 0 103.771 * * [simplify]: Extracting #2: cost 101 inf + 1 103.772 * * [simplify]: Extracting #3: cost 132 inf + 216 103.774 * * [simplify]: Extracting #4: cost 126 inf + 470 103.779 * * [simplify]: Extracting #5: cost 66 inf + 20430 103.795 * * [simplify]: Extracting #6: cost 14 inf + 52746 103.816 * * [simplify]: Extracting #7: cost 0 inf + 65165 103.838 * * [simplify]: Extracting #8: cost 0 inf + 64766 103.858 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 103.858 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (pow k -1/2))) 103.858 * * * * [progress]: [ 26 / 112 ] simplifiying candidate # 103.858 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 103.859 * * [simplify]: iters left: 6 (10 enodes) 103.864 * * [simplify]: iters left: 5 (41 enodes) 103.879 * * [simplify]: iters left: 4 (66 enodes) 103.890 * * [simplify]: iters left: 3 (116 enodes) 103.912 * * [simplify]: iters left: 2 (219 enodes) 103.998 * * [simplify]: iters left: 1 (499 enodes) 104.359 * * [simplify]: Extracting #0: cost 1 inf + 0 104.359 * * [simplify]: Extracting #1: cost 35 inf + 0 104.359 * * [simplify]: Extracting #2: cost 129 inf + 1 104.360 * * [simplify]: Extracting #3: cost 198 inf + 827 104.364 * * [simplify]: Extracting #4: cost 122 inf + 18089 104.375 * * [simplify]: Extracting #5: cost 25 inf + 62444 104.390 * * [simplify]: Extracting #6: cost 0 inf + 84055 104.406 * * [simplify]: Extracting #7: cost 0 inf + 83884 104.425 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 104.425 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2))) 104.425 * * * * [progress]: [ 27 / 112 ] simplifiying candidate # 104.425 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 104.426 * * [simplify]: iters left: 5 (9 enodes) 104.429 * * [simplify]: iters left: 4 (36 enodes) 104.438 * * [simplify]: iters left: 3 (57 enodes) 104.457 * * [simplify]: iters left: 2 (96 enodes) 104.476 * * [simplify]: iters left: 1 (171 enodes) 104.532 * * [simplify]: Extracting #0: cost 1 inf + 0 104.532 * * [simplify]: Extracting #1: cost 12 inf + 0 104.532 * * [simplify]: Extracting #2: cost 50 inf + 1 104.533 * * [simplify]: Extracting #3: cost 73 inf + 6 104.534 * * [simplify]: Extracting #4: cost 58 inf + 1463 104.537 * * [simplify]: Extracting #5: cost 24 inf + 7936 104.543 * * [simplify]: Extracting #6: cost 2 inf + 20820 104.550 * * [simplify]: Extracting #7: cost 0 inf + 22437 104.557 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 104.557 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2))) 104.557 * * * * [progress]: [ 28 / 112 ] simplifiying candidate # 104.558 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 104.558 * * [simplify]: iters left: 5 (8 enodes) 104.563 * * [simplify]: iters left: 4 (34 enodes) 104.578 * * [simplify]: iters left: 3 (64 enodes) 104.601 * * [simplify]: iters left: 2 (105 enodes) 104.638 * * [simplify]: iters left: 1 (177 enodes) 104.706 * * [simplify]: Extracting #0: cost 1 inf + 0 104.706 * * [simplify]: Extracting #1: cost 17 inf + 0 104.706 * * [simplify]: Extracting #2: cost 34 inf + 46 104.706 * * [simplify]: Extracting #3: cost 26 inf + 466 104.708 * * [simplify]: Extracting #4: cost 11 inf + 6543 104.710 * * [simplify]: Extracting #5: cost 1 inf + 10885 104.713 * * [simplify]: Extracting #6: cost 0 inf + 11179 104.716 * [simplify]: Simplified to (* (* PI 2) n) 104.716 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow k -1/2))) 104.716 * * * * [progress]: [ 29 / 112 ] simplifiying candidate # 104.717 * [simplify]: Simplifying (pow (* n (* 2 PI)) 1) 104.717 * * [simplify]: iters left: 5 (7 enodes) 104.722 * * [simplify]: iters left: 4 (30 enodes) 104.735 * * [simplify]: iters left: 3 (58 enodes) 104.749 * * [simplify]: iters left: 2 (99 enodes) 104.769 * * [simplify]: iters left: 1 (171 enodes) 104.813 * * [simplify]: Extracting #0: cost 1 inf + 0 104.813 * * [simplify]: Extracting #1: cost 18 inf + 0 104.813 * * [simplify]: Extracting #2: cost 35 inf + 46 104.813 * * [simplify]: Extracting #3: cost 25 inf + 1347 104.814 * * [simplify]: Extracting #4: cost 14 inf + 5442 104.815 * * [simplify]: Extracting #5: cost 7 inf + 7909 104.817 * * [simplify]: Extracting #6: cost 0 inf + 11764 104.818 * [simplify]: Simplified to (* (* PI 2) n) 104.818 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow k -1/2))) 104.818 * * * * [progress]: [ 30 / 112 ] simplifiying candidate # 104.819 * [simplify]: Simplifying (pow (* n (* 2 PI)) (- 1 k)) 104.819 * * [simplify]: iters left: 5 (9 enodes) 104.822 * * [simplify]: iters left: 4 (38 enodes) 104.830 * * [simplify]: iters left: 3 (64 enodes) 104.850 * * [simplify]: iters left: 2 (102 enodes) 104.885 * * [simplify]: iters left: 1 (175 enodes) 104.951 * * [simplify]: Extracting #0: cost 1 inf + 0 104.951 * * [simplify]: Extracting #1: cost 13 inf + 0 104.951 * * [simplify]: Extracting #2: cost 59 inf + 1 104.952 * * [simplify]: Extracting #3: cost 82 inf + 132 104.953 * * [simplify]: Extracting #4: cost 45 inf + 4647 104.957 * * [simplify]: Extracting #5: cost 14 inf + 14753 104.964 * * [simplify]: Extracting #6: cost 1 inf + 22775 104.971 * * [simplify]: Extracting #7: cost 0 inf + 23442 104.978 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1 k)) 104.978 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (- 1 k)) (/ 1 2)) (pow k -1/2))) 104.978 * * * * [progress]: [ 31 / 112 ] simplifiying candidate # 104.978 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 104.979 * * [simplify]: iters left: 5 (7 enodes) 104.983 * * [simplify]: iters left: 4 (32 enodes) 104.995 * * [simplify]: iters left: 3 (57 enodes) 105.014 * * [simplify]: iters left: 2 (90 enodes) 105.047 * * [simplify]: iters left: 1 (170 enodes) 105.098 * * [simplify]: Extracting #0: cost 1 inf + 0 105.098 * * [simplify]: Extracting #1: cost 13 inf + 0 105.098 * * [simplify]: Extracting #2: cost 55 inf + 2 105.098 * * [simplify]: Extracting #3: cost 88 inf + 6 105.099 * * [simplify]: Extracting #4: cost 77 inf + 1344 105.100 * * [simplify]: Extracting #5: cost 20 inf + 14540 105.104 * * [simplify]: Extracting #6: cost 1 inf + 21921 105.112 * * [simplify]: Extracting #7: cost 0 inf + 21176 105.120 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 105.120 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow k -1/2))) 105.120 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 105.120 * * [simplify]: iters left: 5 (8 enodes) 105.125 * * [simplify]: iters left: 4 (36 enodes) 105.137 * * [simplify]: iters left: 3 (57 enodes) 105.156 * * [simplify]: iters left: 2 (92 enodes) 105.197 * * [simplify]: iters left: 1 (188 enodes) 105.264 * * [simplify]: Extracting #0: cost 1 inf + 0 105.264 * * [simplify]: Extracting #1: cost 13 inf + 0 105.264 * * [simplify]: Extracting #2: cost 58 inf + 1 105.265 * * [simplify]: Extracting #3: cost 91 inf + 6 105.266 * * [simplify]: Extracting #4: cost 84 inf + 1386 105.269 * * [simplify]: Extracting #5: cost 34 inf + 8646 105.275 * * [simplify]: Extracting #6: cost 1 inf + 23512 105.282 * * [simplify]: Extracting #7: cost 0 inf + 24388 105.286 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 105.286 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow k -1/2))) 105.286 * * * * [progress]: [ 32 / 112 ] simplifiying candidate # 105.287 * * * * [progress]: [ 33 / 112 ] simplifiying candidate # 105.287 * [simplify]: Simplifying (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 105.287 * * [simplify]: iters left: 6 (11 enodes) 105.291 * * [simplify]: iters left: 5 (50 enodes) 105.302 * * [simplify]: iters left: 4 (97 enodes) 105.327 * * [simplify]: iters left: 3 (196 enodes) 105.381 * * [simplify]: Extracting #0: cost 1 inf + 0 105.381 * * [simplify]: Extracting #1: cost 46 inf + 0 105.381 * * [simplify]: Extracting #2: cost 129 inf + 1 105.382 * * [simplify]: Extracting #3: cost 177 inf + 448 105.383 * * [simplify]: Extracting #4: cost 122 inf + 10236 105.392 * * [simplify]: Extracting #5: cost 25 inf + 29555 105.404 * * [simplify]: Extracting #6: cost 1 inf + 37116 105.420 * * [simplify]: Extracting #7: cost 0 inf + 37231 105.430 * [simplify]: Simplified to (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) 105.430 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- 1 k) (/ 2 (log (* (* PI 2) n))))) (pow k -1/2))) 105.430 * * * * [progress]: [ 34 / 112 ] simplifiying candidate # 105.430 * [simplify]: Simplifying (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 105.430 * * [simplify]: iters left: 6 (11 enodes) 105.434 * * [simplify]: iters left: 5 (48 enodes) 105.442 * * [simplify]: iters left: 4 (79 enodes) 105.455 * * [simplify]: iters left: 3 (127 enodes) 105.488 * * [simplify]: iters left: 2 (246 enodes) 105.544 * * [simplify]: iters left: 1 (490 enodes) 105.734 * * [simplify]: Extracting #0: cost 1 inf + 0 105.734 * * [simplify]: Extracting #1: cost 26 inf + 0 105.735 * * [simplify]: Extracting #2: cost 134 inf + 0 105.736 * * [simplify]: Extracting #3: cost 269 inf + 4 105.739 * * [simplify]: Extracting #4: cost 291 inf + 182 105.742 * * [simplify]: Extracting #5: cost 280 inf + 1261 105.748 * * [simplify]: Extracting #6: cost 195 inf + 17556 105.768 * * [simplify]: Extracting #7: cost 79 inf + 87620 105.795 * * [simplify]: Extracting #8: cost 2 inf + 149503 105.819 * * [simplify]: Extracting #9: cost 0 inf + 148481 105.857 * [simplify]: Simplified to (exp (pow (* (* PI 2) n) (/ (- 1 k) 2))) 105.857 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (log (exp (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (pow k -1/2))) 105.857 * * * * [progress]: [ 35 / 112 ] simplifiying candidate # 105.858 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 105.858 * * [simplify]: iters left: 6 (12 enodes) 105.865 * * [simplify]: iters left: 5 (51 enodes) 105.881 * * [simplify]: iters left: 4 (84 enodes) 105.908 * * [simplify]: iters left: 3 (127 enodes) 105.941 * * [simplify]: iters left: 2 (212 enodes) 106.005 * * [simplify]: iters left: 1 (389 enodes) 106.175 * * [simplify]: Extracting #0: cost 1 inf + 0 106.175 * * [simplify]: Extracting #1: cost 3 inf + 0 106.175 * * [simplify]: Extracting #2: cost 5 inf + 0 106.175 * * [simplify]: Extracting #3: cost 34 inf + 0 106.175 * * [simplify]: Extracting #4: cost 116 inf + 1 106.176 * * [simplify]: Extracting #5: cost 167 inf + 176 106.178 * * [simplify]: Extracting #6: cost 161 inf + 1057 106.183 * * [simplify]: Extracting #7: cost 90 inf + 12763 106.192 * * [simplify]: Extracting #8: cost 46 inf + 28892 106.210 * * [simplify]: Extracting #9: cost 3 inf + 67650 106.230 * * [simplify]: Extracting #10: cost 0 inf + 68411 106.250 * * [simplify]: Extracting #11: cost 0 inf + 68280 106.271 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 106.271 * [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)))) (pow k -1/2))) 106.271 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 106.271 * * [simplify]: iters left: 6 (11 enodes) 106.282 * * [simplify]: iters left: 5 (48 enodes) 106.291 * * [simplify]: iters left: 4 (77 enodes) 106.303 * * [simplify]: iters left: 3 (120 enodes) 106.330 * * [simplify]: iters left: 2 (218 enodes) 106.384 * * [simplify]: iters left: 1 (392 enodes) 106.559 * * [simplify]: Extracting #0: cost 1 inf + 0 106.559 * * [simplify]: Extracting #1: cost 3 inf + 0 106.559 * * [simplify]: Extracting #2: cost 32 inf + 0 106.559 * * [simplify]: Extracting #3: cost 113 inf + 1 106.560 * * [simplify]: Extracting #4: cost 183 inf + 176 106.561 * * [simplify]: Extracting #5: cost 174 inf + 1097 106.563 * * [simplify]: Extracting #6: cost 106 inf + 9497 106.572 * * [simplify]: Extracting #7: cost 36 inf + 40825 106.591 * * [simplify]: Extracting #8: cost 0 inf + 71678 106.603 * * [simplify]: Extracting #9: cost 0 inf + 68829 106.615 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 106.615 * [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))))) (pow k -1/2))) 106.615 * * * * [progress]: [ 36 / 112 ] simplifiying candidate # 106.615 * [simplify]: Simplifying (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 106.616 * * [simplify]: iters left: 6 (12 enodes) 106.620 * * [simplify]: iters left: 5 (54 enodes) 106.639 * * [simplify]: iters left: 4 (107 enodes) 106.670 * * [simplify]: iters left: 3 (222 enodes) 106.750 * * [simplify]: iters left: 2 (473 enodes) 107.074 * * [simplify]: Extracting #0: cost 1 inf + 0 107.074 * * [simplify]: Extracting #1: cost 47 inf + 0 107.075 * * [simplify]: Extracting #2: cost 135 inf + 3 107.077 * * [simplify]: Extracting #3: cost 187 inf + 5 107.079 * * [simplify]: Extracting #4: cost 188 inf + 971 107.086 * * [simplify]: Extracting #5: cost 113 inf + 24576 107.100 * * [simplify]: Extracting #6: cost 43 inf + 80064 107.119 * * [simplify]: Extracting #7: cost 0 inf + 119576 107.151 * * [simplify]: Extracting #8: cost 0 inf + 118703 107.173 * * [simplify]: Extracting #9: cost 0 inf + 115578 107.208 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3) 107.208 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3)) (pow k -1/2))) 107.209 * * * * [progress]: [ 37 / 112 ] simplifiying candidate # 107.209 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 107.209 * * [simplify]: iters left: 6 (11 enodes) 107.216 * * [simplify]: iters left: 5 (48 enodes) 107.230 * * [simplify]: iters left: 4 (78 enodes) 107.243 * * [simplify]: iters left: 3 (122 enodes) 107.266 * * [simplify]: iters left: 2 (223 enodes) 107.316 * * [simplify]: iters left: 1 (408 enodes) 107.496 * * [simplify]: Extracting #0: cost 1 inf + 0 107.496 * * [simplify]: Extracting #1: cost 4 inf + 0 107.496 * * [simplify]: Extracting #2: cost 37 inf + 0 107.497 * * [simplify]: Extracting #3: cost 135 inf + 1 107.498 * * [simplify]: Extracting #4: cost 179 inf + 220 107.499 * * [simplify]: Extracting #5: cost 155 inf + 2713 107.503 * * [simplify]: Extracting #6: cost 71 inf + 16900 107.511 * * [simplify]: Extracting #7: cost 20 inf + 50066 107.530 * * [simplify]: Extracting #8: cost 0 inf + 69765 107.558 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 107.558 * [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)))) (pow k -1/2))) 107.558 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 107.559 * * [simplify]: iters left: 6 (11 enodes) 107.565 * * [simplify]: iters left: 5 (48 enodes) 107.581 * * [simplify]: iters left: 4 (78 enodes) 107.594 * * [simplify]: iters left: 3 (122 enodes) 107.619 * * [simplify]: iters left: 2 (223 enodes) 107.700 * * [simplify]: iters left: 1 (408 enodes) 107.911 * * [simplify]: Extracting #0: cost 1 inf + 0 107.911 * * [simplify]: Extracting #1: cost 4 inf + 0 107.911 * * [simplify]: Extracting #2: cost 37 inf + 0 107.912 * * [simplify]: Extracting #3: cost 135 inf + 1 107.914 * * [simplify]: Extracting #4: cost 179 inf + 220 107.916 * * [simplify]: Extracting #5: cost 155 inf + 2713 107.923 * * [simplify]: Extracting #6: cost 71 inf + 16900 107.941 * * [simplify]: Extracting #7: cost 20 inf + 50066 107.967 * * [simplify]: Extracting #8: cost 0 inf + 69765 107.989 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 107.989 * [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))))) (pow k -1/2))) 107.989 * * * * [progress]: [ 38 / 112 ] simplifiying candidate # 107.989 * * * * [progress]: [ 39 / 112 ] simplifiying candidate # 107.989 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 107.989 * * [simplify]: iters left: 6 (11 enodes) 107.993 * * [simplify]: iters left: 5 (51 enodes) 108.002 * * [simplify]: iters left: 4 (87 enodes) 108.027 * * [simplify]: iters left: 3 (146 enodes) 108.080 * * [simplify]: iters left: 2 (263 enodes) 108.161 * * [simplify]: iters left: 1 (485 enodes) 108.351 * * [simplify]: Extracting #0: cost 1 inf + 0 108.351 * * [simplify]: Extracting #1: cost 27 inf + 0 108.352 * * [simplify]: Extracting #2: cost 108 inf + 1 108.352 * * [simplify]: Extracting #3: cost 195 inf + 178 108.353 * * [simplify]: Extracting #4: cost 186 inf + 1642 108.358 * * [simplify]: Extracting #5: cost 87 inf + 19304 108.367 * * [simplify]: Extracting #6: cost 11 inf + 54080 108.378 * * [simplify]: Extracting #7: cost 0 inf + 61765 108.390 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 108.390 * [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))) (pow k -1/2))) 108.390 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 108.390 * * [simplify]: iters left: 6 (11 enodes) 108.394 * * [simplify]: iters left: 5 (51 enodes) 108.409 * * [simplify]: iters left: 4 (87 enodes) 108.439 * * [simplify]: iters left: 3 (146 enodes) 108.491 * * [simplify]: iters left: 2 (263 enodes) 108.575 * * [simplify]: iters left: 1 (485 enodes) 108.805 * * [simplify]: Extracting #0: cost 1 inf + 0 108.805 * * [simplify]: Extracting #1: cost 27 inf + 0 108.805 * * [simplify]: Extracting #2: cost 108 inf + 1 108.806 * * [simplify]: Extracting #3: cost 195 inf + 178 108.808 * * [simplify]: Extracting #4: cost 186 inf + 1642 108.811 * * [simplify]: Extracting #5: cost 87 inf + 19304 108.821 * * [simplify]: Extracting #6: cost 11 inf + 54080 108.841 * * [simplify]: Extracting #7: cost 0 inf + 61765 108.863 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 108.863 * [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)))) (pow k -1/2))) 108.864 * * * * [progress]: [ 40 / 112 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (pow k -1/2)))> 108.864 * [simplify]: Simplifying (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 108.864 * * [simplify]: iters left: 6 (11 enodes) 108.870 * * [simplify]: iters left: 5 (45 enodes) 108.881 * * [simplify]: iters left: 4 (74 enodes) 108.894 * * [simplify]: iters left: 3 (118 enodes) 108.917 * * [simplify]: iters left: 2 (216 enodes) 108.973 * * [simplify]: iters left: 1 (387 enodes) 109.127 * * [simplify]: Extracting #0: cost 1 inf + 0 109.127 * * [simplify]: Extracting #1: cost 2 inf + 0 109.127 * * [simplify]: Extracting #2: cost 28 inf + 0 109.128 * * [simplify]: Extracting #3: cost 106 inf + 1 109.129 * * [simplify]: Extracting #4: cost 165 inf + 218 109.131 * * [simplify]: Extracting #5: cost 163 inf + 644 109.135 * * [simplify]: Extracting #6: cost 97 inf + 9320 109.147 * * [simplify]: Extracting #7: cost 31 inf + 38445 109.166 * * [simplify]: Extracting #8: cost 0 inf + 62881 109.188 * * [simplify]: Extracting #9: cost 0 inf + 62681 109.208 * [simplify]: Simplified to (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) 109.208 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (posit16->real (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (pow k -1/2))) 109.208 * * * * [progress]: [ 41 / 112 ] simplifiying candidate # 109.209 * [simplify]: Simplifying (* n (* 2 PI)) 109.209 * * [simplify]: iters left: 4 (5 enodes) 109.212 * * [simplify]: iters left: 3 (19 enodes) 109.217 * * [simplify]: iters left: 2 (27 enodes) 109.225 * * [simplify]: iters left: 1 (32 enodes) 109.230 * * [simplify]: Extracting #0: cost 1 inf + 0 109.230 * * [simplify]: Extracting #1: cost 8 inf + 0 109.230 * * [simplify]: Extracting #2: cost 7 inf + 45 109.231 * * [simplify]: Extracting #3: cost 0 inf + 421 109.231 * [simplify]: Simplified to (* (* PI 2) n) 109.231 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (pow k -1/2))) 109.231 * * * * [progress]: [ 42 / 112 ] simplifiying candidate # 109.231 * [simplify]: Simplifying (* n (* 2 PI)) 109.231 * * [simplify]: iters left: 4 (5 enodes) 109.233 * * [simplify]: iters left: 3 (19 enodes) 109.236 * * [simplify]: iters left: 2 (27 enodes) 109.240 * * [simplify]: iters left: 1 (32 enodes) 109.244 * * [simplify]: Extracting #0: cost 1 inf + 0 109.244 * * [simplify]: Extracting #1: cost 8 inf + 0 109.244 * * [simplify]: Extracting #2: cost 7 inf + 45 109.244 * * [simplify]: Extracting #3: cost 0 inf + 421 109.244 * [simplify]: Simplified to (* (* PI 2) n) 109.244 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (pow k -1/2))) 109.244 * * * * [progress]: [ 43 / 112 ] simplifiying candidate # 109.244 * * * * [progress]: [ 44 / 112 ] simplifiying candidate # 109.246 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 109.246 * * [simplify]: iters left: 5 (8 enodes) 109.249 * * [simplify]: iters left: 4 (28 enodes) 109.253 * * [simplify]: iters left: 3 (36 enodes) 109.261 * * [simplify]: iters left: 2 (42 enodes) 109.272 * * [simplify]: Extracting #0: cost 1 inf + 0 109.272 * * [simplify]: Extracting #1: cost 8 inf + 0 109.272 * * [simplify]: Extracting #2: cost 17 inf + 0 109.272 * * [simplify]: Extracting #3: cost 12 inf + 145 109.272 * * [simplify]: Extracting #4: cost 5 inf + 1197 109.273 * * [simplify]: Extracting #5: cost 1 inf + 1925 109.273 * * [simplify]: Extracting #6: cost 0 inf + 2107 109.274 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 109.274 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (pow k -1/2))) 109.274 * * * * [progress]: [ 45 / 112 ] simplifiying candidate # 109.275 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 109.275 * * [simplify]: iters left: 5 (7 enodes) 109.279 * * [simplify]: iters left: 4 (26 enodes) 109.287 * * [simplify]: iters left: 3 (35 enodes) 109.298 * * [simplify]: iters left: 2 (44 enodes) 109.309 * * [simplify]: Extracting #0: cost 1 inf + 0 109.309 * * [simplify]: Extracting #1: cost 8 inf + 0 109.309 * * [simplify]: Extracting #2: cost 18 inf + 0 109.309 * * [simplify]: Extracting #3: cost 15 inf + 74 109.310 * * [simplify]: Extracting #4: cost 8 inf + 554 109.310 * * [simplify]: Extracting #5: cost 0 inf + 1911 109.311 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 109.311 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2))) 109.311 * * * * [progress]: [ 46 / 112 ] simplifiying candidate # 109.311 * [simplify]: Simplifying (log (* n (* 2 PI))) 109.311 * * [simplify]: iters left: 5 (6 enodes) 109.315 * * [simplify]: iters left: 4 (25 enodes) 109.323 * * [simplify]: iters left: 3 (44 enodes) 109.336 * * [simplify]: iters left: 2 (62 enodes) 109.353 * * [simplify]: iters left: 1 (70 enodes) 109.369 * * [simplify]: Extracting #0: cost 1 inf + 0 109.369 * * [simplify]: Extracting #1: cost 9 inf + 0 109.370 * * [simplify]: Extracting #2: cost 22 inf + 0 109.370 * * [simplify]: Extracting #3: cost 19 inf + 228 109.370 * * [simplify]: Extracting #4: cost 6 inf + 1211 109.371 * * [simplify]: Extracting #5: cost 1 inf + 1713 109.372 * * [simplify]: Extracting #6: cost 0 inf + 1825 109.373 * [simplify]: Simplified to (log (* (* PI 2) n)) 109.373 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (log (* (* PI 2) n))) (/ (- 1 k) 2)) (pow k -1/2))) 109.373 * * * * [progress]: [ 47 / 112 ] simplifiying candidate # 109.373 * [simplify]: Simplifying (exp (* n (* 2 PI))) 109.373 * * [simplify]: iters left: 5 (6 enodes) 109.377 * * [simplify]: iters left: 4 (24 enodes) 109.384 * * [simplify]: iters left: 3 (41 enodes) 109.400 * * [simplify]: iters left: 2 (77 enodes) 109.422 * * [simplify]: iters left: 1 (133 enodes) 109.444 * * [simplify]: Extracting #0: cost 1 inf + 0 109.444 * * [simplify]: Extracting #1: cost 33 inf + 0 109.444 * * [simplify]: Extracting #2: cost 75 inf + 860 109.444 * * [simplify]: Extracting #3: cost 73 inf + 4094 109.446 * * [simplify]: Extracting #4: cost 37 inf + 10165 109.448 * * [simplify]: Extracting #5: cost 4 inf + 19745 109.450 * * [simplify]: Extracting #6: cost 0 inf + 21278 109.453 * [simplify]: Simplified to (exp (* n (+ PI PI))) 109.453 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (log (exp (* n (+ PI PI)))) (/ (- 1 k) 2)) (pow k -1/2))) 109.453 * * * * [progress]: [ 48 / 112 ] simplifiying candidate # 109.453 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 109.454 * * [simplify]: iters left: 6 (11 enodes) 109.462 * * [simplify]: iters left: 5 (48 enodes) 109.480 * * [simplify]: iters left: 4 (121 enodes) 109.537 * * [simplify]: iters left: 3 (355 enodes) 109.727 * * [simplify]: Extracting #0: cost 1 inf + 0 109.728 * * [simplify]: Extracting #1: cost 65 inf + 0 109.729 * * [simplify]: Extracting #2: cost 162 inf + 496 109.739 * * [simplify]: Extracting #3: cost 89 inf + 8992 109.749 * * [simplify]: Extracting #4: cost 19 inf + 22730 109.755 * * [simplify]: Extracting #5: cost 0 inf + 27780 109.761 * * [simplify]: Extracting #6: cost 0 inf + 27740 109.768 * [simplify]: Simplified to (* 8 (* (* n PI) (* (* n PI) (* n PI)))) 109.768 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* 8 (* (* n PI) (* (* n PI) (* n PI))))) (/ (- 1 k) 2)) (pow k -1/2))) 109.768 * * * * [progress]: [ 49 / 112 ] simplifiying candidate # 109.768 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 109.768 * * [simplify]: iters left: 6 (9 enodes) 109.771 * * [simplify]: iters left: 5 (45 enodes) 109.781 * * [simplify]: iters left: 4 (117 enodes) 109.835 * * [simplify]: iters left: 3 (377 enodes) 110.117 * * [simplify]: Extracting #0: cost 1 inf + 0 110.117 * * [simplify]: Extracting #1: cost 79 inf + 0 110.119 * * [simplify]: Extracting #2: cost 190 inf + 659 110.127 * * [simplify]: Extracting #3: cost 100 inf + 13035 110.145 * * [simplify]: Extracting #4: cost 6 inf + 31482 110.156 * * [simplify]: Extracting #5: cost 0 inf + 32336 110.165 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 110.165 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (- 1 k) 2)) (pow k -1/2))) 110.165 * * * * [progress]: [ 50 / 112 ] simplifiying candidate # 110.166 * [simplify]: Simplifying (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) 110.166 * * [simplify]: iters left: 6 (7 enodes) 110.168 * * [simplify]: iters left: 5 (25 enodes) 110.172 * * [simplify]: iters left: 4 (33 enodes) 110.177 * * [simplify]: iters left: 3 (39 enodes) 110.184 * * [simplify]: Extracting #0: cost 1 inf + 0 110.184 * * [simplify]: Extracting #1: cost 3 inf + 0 110.184 * * [simplify]: Extracting #2: cost 5 inf + 0 110.185 * * [simplify]: Extracting #3: cost 12 inf + 0 110.185 * * [simplify]: Extracting #4: cost 11 inf + 45 110.185 * * [simplify]: Extracting #5: cost 5 inf + 500 110.185 * * [simplify]: Extracting #6: cost 1 inf + 950 110.186 * * [simplify]: Extracting #7: cost 0 inf + 1153 110.186 * [simplify]: Simplified to (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) 110.186 * [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)) (pow k -1/2))) 110.187 * [simplify]: Simplifying (cbrt (* n (* 2 PI))) 110.187 * * [simplify]: iters left: 5 (6 enodes) 110.190 * * [simplify]: iters left: 4 (22 enodes) 110.197 * * [simplify]: iters left: 3 (30 enodes) 110.205 * * [simplify]: iters left: 2 (35 enodes) 110.214 * * [simplify]: Extracting #0: cost 1 inf + 0 110.214 * * [simplify]: Extracting #1: cost 3 inf + 0 110.214 * * [simplify]: Extracting #2: cost 10 inf + 0 110.214 * * [simplify]: Extracting #3: cost 10 inf + 3 110.214 * * [simplify]: Extracting #4: cost 6 inf + 171 110.215 * * [simplify]: Extracting #5: cost 1 inf + 584 110.215 * * [simplify]: Extracting #6: cost 0 inf + 747 110.215 * [simplify]: Simplified to (cbrt (* (* PI 2) n)) 110.215 * [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)) (pow k -1/2))) 110.216 * * * * [progress]: [ 51 / 112 ] simplifiying candidate # 110.216 * [simplify]: Simplifying (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI))) 110.216 * * [simplify]: iters left: 6 (7 enodes) 110.220 * * [simplify]: iters left: 5 (35 enodes) 110.229 * * [simplify]: iters left: 4 (120 enodes) 110.269 * * [simplify]: iters left: 3 (434 enodes) 110.600 * * [simplify]: Extracting #0: cost 1 inf + 0 110.601 * * [simplify]: Extracting #1: cost 70 inf + 0 110.602 * * [simplify]: Extracting #2: cost 180 inf + 783 110.606 * * [simplify]: Extracting #3: cost 74 inf + 15033 110.622 * * [simplify]: Extracting #4: cost 1 inf + 25830 110.641 * * [simplify]: Extracting #5: cost 0 inf + 25831 110.659 * [simplify]: Simplified to (* 8 (* (* n PI) (* (* n PI) (* n PI)))) 110.659 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* 8 (* (* n PI) (* (* n PI) (* n PI))))) (/ (- 1 k) 2)) (pow k -1/2))) 110.660 * * * * [progress]: [ 52 / 112 ] simplifiying candidate # 110.660 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 110.660 * * [simplify]: iters left: 5 (6 enodes) 110.663 * * [simplify]: iters left: 4 (22 enodes) 110.670 * * [simplify]: iters left: 3 (30 enodes) 110.679 * * [simplify]: iters left: 2 (35 enodes) 110.692 * * [simplify]: Extracting #0: cost 1 inf + 0 110.692 * * [simplify]: Extracting #1: cost 3 inf + 0 110.692 * * [simplify]: Extracting #2: cost 10 inf + 0 110.692 * * [simplify]: Extracting #3: cost 10 inf + 3 110.692 * * [simplify]: Extracting #4: cost 6 inf + 171 110.693 * * [simplify]: Extracting #5: cost 1 inf + 544 110.693 * * [simplify]: Extracting #6: cost 0 inf + 667 110.693 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 110.693 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt (* (* PI 2) n)) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2))) 110.694 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 110.694 * * [simplify]: iters left: 5 (6 enodes) 110.697 * * [simplify]: iters left: 4 (22 enodes) 110.704 * * [simplify]: iters left: 3 (30 enodes) 110.712 * * [simplify]: iters left: 2 (35 enodes) 110.721 * * [simplify]: Extracting #0: cost 1 inf + 0 110.721 * * [simplify]: Extracting #1: cost 3 inf + 0 110.721 * * [simplify]: Extracting #2: cost 10 inf + 0 110.721 * * [simplify]: Extracting #3: cost 10 inf + 3 110.721 * * [simplify]: Extracting #4: cost 6 inf + 171 110.722 * * [simplify]: Extracting #5: cost 1 inf + 544 110.722 * * [simplify]: Extracting #6: cost 0 inf + 667 110.722 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 110.722 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (* (sqrt (* n (* 2 PI))) (sqrt (* (* PI 2) n))) (/ (- 1 k) 2)) (pow k -1/2))) 110.723 * * * * [progress]: [ 53 / 112 ] simplifiying candidate # 110.723 * * * * [progress]: [ 54 / 112 ] simplifiying candidate # 110.723 * [simplify]: Simplifying (* n 2) 110.723 * * [simplify]: iters left: 2 (3 enodes) 110.724 * * [simplify]: iters left: 1 (10 enodes) 110.726 * * [simplify]: Extracting #0: cost 1 inf + 0 110.726 * * [simplify]: Extracting #1: cost 4 inf + 0 110.726 * * [simplify]: Extracting #2: cost 2 inf + 2 110.726 * * [simplify]: Extracting #3: cost 0 inf + 86 110.726 * [simplify]: Simplified to (* n 2) 110.726 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow k -1/2))) 110.726 * * * * [progress]: [ 55 / 112 ] simplifiying candidate # 110.726 * [simplify]: Simplifying (* (cbrt n) (* 2 PI)) 110.726 * * [simplify]: iters left: 4 (6 enodes) 110.728 * * [simplify]: iters left: 3 (22 enodes) 110.731 * * [simplify]: iters left: 2 (30 enodes) 110.735 * * [simplify]: iters left: 1 (35 enodes) 110.739 * * [simplify]: Extracting #0: cost 1 inf + 0 110.739 * * [simplify]: Extracting #1: cost 8 inf + 0 110.739 * * [simplify]: Extracting #2: cost 10 inf + 44 110.739 * * [simplify]: Extracting #3: cost 8 inf + 87 110.740 * * [simplify]: Extracting #4: cost 5 inf + 453 110.740 * * [simplify]: Extracting #5: cost 0 inf + 1063 110.740 * [simplify]: Simplified to (* (cbrt n) (* 2 PI)) 110.740 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2))) 110.740 * * * * [progress]: [ 56 / 112 ] simplifiying candidate # 110.740 * [simplify]: Simplifying (* (sqrt n) (* 2 PI)) 110.740 * * [simplify]: iters left: 4 (6 enodes) 110.742 * * [simplify]: iters left: 3 (22 enodes) 110.745 * * [simplify]: iters left: 2 (30 enodes) 110.749 * * [simplify]: iters left: 1 (35 enodes) 110.754 * * [simplify]: Extracting #0: cost 1 inf + 0 110.754 * * [simplify]: Extracting #1: cost 8 inf + 0 110.754 * * [simplify]: Extracting #2: cost 10 inf + 44 110.754 * * [simplify]: Extracting #3: cost 8 inf + 87 110.754 * * [simplify]: Extracting #4: cost 5 inf + 333 110.754 * * [simplify]: Extracting #5: cost 0 inf + 743 110.755 * [simplify]: Simplified to (* (sqrt n) (* 2 PI)) 110.755 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2))) 110.755 * * * * [progress]: [ 57 / 112 ] simplifiying candidate # 110.755 * [simplify]: Simplifying (* n (* 2 PI)) 110.755 * * [simplify]: iters left: 4 (5 enodes) 110.758 * * [simplify]: iters left: 3 (19 enodes) 110.764 * * [simplify]: iters left: 2 (27 enodes) 110.772 * * [simplify]: iters left: 1 (32 enodes) 110.780 * * [simplify]: Extracting #0: cost 1 inf + 0 110.780 * * [simplify]: Extracting #1: cost 8 inf + 0 110.780 * * [simplify]: Extracting #2: cost 7 inf + 45 110.780 * * [simplify]: Extracting #3: cost 0 inf + 421 110.781 * [simplify]: Simplified to (* (* PI 2) n) 110.781 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (* 1 (* (* PI 2) n)) (/ (- 1 k) 2)) (pow k -1/2))) 110.781 * * * * [progress]: [ 58 / 112 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))> 110.781 * [simplify]: Simplifying (real->posit16 (* n (* 2 PI))) 110.781 * * [simplify]: iters left: 5 (6 enodes) 110.784 * * [simplify]: iters left: 4 (19 enodes) 110.787 * * [simplify]: iters left: 3 (27 enodes) 110.791 * * [simplify]: iters left: 2 (32 enodes) 110.796 * * [simplify]: Extracting #0: cost 1 inf + 0 110.796 * * [simplify]: Extracting #1: cost 2 inf + 0 110.796 * * [simplify]: Extracting #2: cost 8 inf + 0 110.796 * * [simplify]: Extracting #3: cost 7 inf + 45 110.796 * * [simplify]: Extracting #4: cost 1 inf + 379 110.797 * * [simplify]: Extracting #5: cost 0 inf + 421 110.797 * [simplify]: Simplified to (real->posit16 (* (* PI 2) n)) 110.797 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (posit16->real (real->posit16 (* (* PI 2) n))) (/ (- 1 k) 2)) (pow k -1/2))) 110.797 * * * * [progress]: [ 59 / 112 ] simplifiying candidate # 110.797 * * * * [progress]: [ 60 / 112 ] simplifiying candidate # 110.797 * * * * [progress]: [ 61 / 112 ] simplifiying candidate # 110.797 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 110.797 * * [simplify]: iters left: 6 (17 enodes) 110.802 * * [simplify]: iters left: 5 (68 enodes) 110.823 * * [simplify]: iters left: 4 (111 enodes) 110.867 * * [simplify]: iters left: 3 (284 enodes) 110.965 * * [simplify]: Extracting #0: cost 1 inf + 0 110.965 * * [simplify]: Extracting #1: cost 22 inf + 0 110.965 * * [simplify]: Extracting #2: cost 104 inf + 0 110.965 * * [simplify]: Extracting #3: cost 162 inf + 74 110.967 * * [simplify]: Extracting #4: cost 159 inf + 5473 110.972 * * [simplify]: Extracting #5: cost 47 inf + 33265 110.980 * * [simplify]: Extracting #6: cost 3 inf + 47274 110.994 * * [simplify]: Extracting #7: cost 0 inf + 48080 111.016 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)) 111.016 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) 111.016 * * * * [progress]: [ 62 / 112 ] simplifiying candidate # 111.016 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 111.016 * * [simplify]: iters left: 6 (17 enodes) 111.027 * * [simplify]: iters left: 5 (68 enodes) 111.043 * * [simplify]: iters left: 4 (111 enodes) 111.068 * * [simplify]: iters left: 3 (284 enodes) 111.180 * * [simplify]: Extracting #0: cost 1 inf + 0 111.180 * * [simplify]: Extracting #1: cost 22 inf + 0 111.180 * * [simplify]: Extracting #2: cost 104 inf + 0 111.180 * * [simplify]: Extracting #3: cost 162 inf + 74 111.182 * * [simplify]: Extracting #4: cost 159 inf + 5473 111.187 * * [simplify]: Extracting #5: cost 47 inf + 33265 111.197 * * [simplify]: Extracting #6: cost 3 inf + 47274 111.209 * * [simplify]: Extracting #7: cost 0 inf + 48080 111.218 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)) 111.218 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) 111.218 * * * * [progress]: [ 63 / 112 ] simplifiying candidate # 111.218 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 111.218 * * [simplify]: iters left: 6 (17 enodes) 111.224 * * [simplify]: iters left: 5 (73 enodes) 111.250 * * [simplify]: iters left: 4 (133 enodes) 111.304 * * [simplify]: iters left: 3 (345 enodes) 111.441 * * [simplify]: Extracting #0: cost 1 inf + 0 111.441 * * [simplify]: Extracting #1: cost 24 inf + 0 111.442 * * [simplify]: Extracting #2: cost 133 inf + 0 111.447 * * [simplify]: Extracting #3: cost 203 inf + 76 111.450 * * [simplify]: Extracting #4: cost 199 inf + 7476 111.455 * * [simplify]: Extracting #5: cost 101 inf + 32627 111.464 * * [simplify]: Extracting #6: cost 5 inf + 63420 111.475 * * [simplify]: Extracting #7: cost 0 inf + 64685 111.489 * [simplify]: Simplified to (+ (* (log k) -1/2) (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)) 111.489 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) 111.489 * * * * [progress]: [ 64 / 112 ] simplifiying candidate # 111.490 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 111.490 * * [simplify]: iters left: 6 (16 enodes) 111.498 * * [simplify]: iters left: 5 (66 enodes) 111.509 * * [simplify]: iters left: 4 (104 enodes) 111.529 * * [simplify]: iters left: 3 (232 enodes) 111.603 * * [simplify]: Extracting #0: cost 1 inf + 0 111.603 * * [simplify]: Extracting #1: cost 18 inf + 0 111.604 * * [simplify]: Extracting #2: cost 87 inf + 0 111.604 * * [simplify]: Extracting #3: cost 146 inf + 3 111.606 * * [simplify]: Extracting #4: cost 163 inf + 1237 111.611 * * [simplify]: Extracting #5: cost 82 inf + 17880 111.622 * * [simplify]: Extracting #6: cost 13 inf + 34740 111.640 * * [simplify]: Extracting #7: cost 0 inf + 39363 111.647 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (* -1/2 (log k))) 111.647 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (* -1/2 (log k))))) 111.647 * * * * [progress]: [ 65 / 112 ] simplifiying candidate # 111.648 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 111.648 * * [simplify]: iters left: 6 (16 enodes) 111.653 * * [simplify]: iters left: 5 (66 enodes) 111.664 * * [simplify]: iters left: 4 (104 enodes) 111.688 * * [simplify]: iters left: 3 (232 enodes) 111.757 * * [simplify]: Extracting #0: cost 1 inf + 0 111.757 * * [simplify]: Extracting #1: cost 18 inf + 0 111.757 * * [simplify]: Extracting #2: cost 87 inf + 0 111.758 * * [simplify]: Extracting #3: cost 146 inf + 3 111.759 * * [simplify]: Extracting #4: cost 163 inf + 1237 111.764 * * [simplify]: Extracting #5: cost 82 inf + 17880 111.776 * * [simplify]: Extracting #6: cost 13 inf + 34740 111.790 * * [simplify]: Extracting #7: cost 0 inf + 39363 111.805 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (* -1/2 (log k))) 111.805 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (* -1/2 (log k))))) 111.805 * * * * [progress]: [ 66 / 112 ] simplifiying candidate # 111.805 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 111.806 * * [simplify]: iters left: 6 (16 enodes) 111.815 * * [simplify]: iters left: 5 (71 enodes) 111.843 * * [simplify]: iters left: 4 (126 enodes) 111.868 * * [simplify]: iters left: 3 (294 enodes) 111.957 * * [simplify]: Extracting #0: cost 1 inf + 0 111.957 * * [simplify]: Extracting #1: cost 20 inf + 0 111.958 * * [simplify]: Extracting #2: cost 114 inf + 0 111.958 * * [simplify]: Extracting #3: cost 179 inf + 5 111.959 * * [simplify]: Extracting #4: cost 171 inf + 6668 111.963 * * [simplify]: Extracting #5: cost 75 inf + 28972 111.975 * * [simplify]: Extracting #6: cost 2 inf + 51219 111.988 * * [simplify]: Extracting #7: cost 0 inf + 51670 111.997 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (* -1/2 (log k))) 111.997 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (* -1/2 (log k))))) 111.998 * * * * [progress]: [ 67 / 112 ] simplifiying candidate # 111.998 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 111.998 * * [simplify]: iters left: 6 (15 enodes) 112.006 * * [simplify]: iters left: 5 (65 enodes) 112.021 * * [simplify]: iters left: 4 (111 enodes) 112.054 * * [simplify]: iters left: 3 (221 enodes) 112.114 * * [simplify]: Extracting #0: cost 1 inf + 0 112.114 * * [simplify]: Extracting #1: cost 15 inf + 0 112.114 * * [simplify]: Extracting #2: cost 80 inf + 0 112.114 * * [simplify]: Extracting #3: cost 139 inf + 74 112.115 * * [simplify]: Extracting #4: cost 158 inf + 1498 112.117 * * [simplify]: Extracting #5: cost 76 inf + 15601 112.126 * * [simplify]: Extracting #6: cost 9 inf + 31779 112.140 * * [simplify]: Extracting #7: cost 0 inf + 34325 112.154 * * [simplify]: Extracting #8: cost 0 inf + 34324 112.161 * [simplify]: Simplified to (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 112.162 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 112.162 * * * * [progress]: [ 68 / 112 ] simplifiying candidate # 112.162 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 112.162 * * [simplify]: iters left: 6 (15 enodes) 112.167 * * [simplify]: iters left: 5 (65 enodes) 112.178 * * [simplify]: iters left: 4 (111 enodes) 112.212 * * [simplify]: iters left: 3 (221 enodes) 112.275 * * [simplify]: Extracting #0: cost 1 inf + 0 112.275 * * [simplify]: Extracting #1: cost 15 inf + 0 112.275 * * [simplify]: Extracting #2: cost 80 inf + 0 112.276 * * [simplify]: Extracting #3: cost 139 inf + 74 112.278 * * [simplify]: Extracting #4: cost 158 inf + 1498 112.283 * * [simplify]: Extracting #5: cost 76 inf + 15601 112.297 * * [simplify]: Extracting #6: cost 9 inf + 31779 112.310 * * [simplify]: Extracting #7: cost 0 inf + 34325 112.324 * * [simplify]: Extracting #8: cost 0 inf + 34324 112.337 * [simplify]: Simplified to (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 112.337 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 112.337 * * * * [progress]: [ 69 / 112 ] simplifiying candidate # 112.338 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 112.338 * * [simplify]: iters left: 6 (15 enodes) 112.348 * * [simplify]: iters left: 5 (70 enodes) 112.372 * * [simplify]: iters left: 4 (133 enodes) 112.420 * * [simplify]: iters left: 3 (282 enodes) 112.545 * * [simplify]: Extracting #0: cost 1 inf + 0 112.546 * * [simplify]: Extracting #1: cost 19 inf + 0 112.546 * * [simplify]: Extracting #2: cost 106 inf + 0 112.547 * * [simplify]: Extracting #3: cost 171 inf + 76 112.549 * * [simplify]: Extracting #4: cost 195 inf + 1725 112.554 * * [simplify]: Extracting #5: cost 113 inf + 18537 112.571 * * [simplify]: Extracting #6: cost 12 inf + 44397 112.586 * * [simplify]: Extracting #7: cost 2 inf + 45355 112.595 * * [simplify]: Extracting #8: cost 0 inf + 45762 112.602 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 112.603 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 112.603 * * * * [progress]: [ 70 / 112 ] simplifiying candidate # 112.603 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 112.603 * * [simplify]: iters left: 6 (15 enodes) 112.608 * * [simplify]: iters left: 5 (65 enodes) 112.620 * * [simplify]: iters left: 4 (111 enodes) 112.646 * * [simplify]: iters left: 3 (221 enodes) 112.706 * * [simplify]: Extracting #0: cost 1 inf + 0 112.706 * * [simplify]: Extracting #1: cost 15 inf + 0 112.706 * * [simplify]: Extracting #2: cost 80 inf + 0 112.707 * * [simplify]: Extracting #3: cost 139 inf + 74 112.708 * * [simplify]: Extracting #4: cost 158 inf + 1498 112.713 * * [simplify]: Extracting #5: cost 76 inf + 15601 112.724 * * [simplify]: Extracting #6: cost 9 inf + 31779 112.737 * * [simplify]: Extracting #7: cost 0 inf + 34325 112.751 * * [simplify]: Extracting #8: cost 0 inf + 34324 112.764 * [simplify]: Simplified to (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 112.764 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 112.764 * * * * [progress]: [ 71 / 112 ] simplifiying candidate # 112.765 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 112.765 * * [simplify]: iters left: 6 (15 enodes) 112.770 * * [simplify]: iters left: 5 (65 enodes) 112.780 * * [simplify]: iters left: 4 (111 enodes) 112.804 * * [simplify]: iters left: 3 (221 enodes) 112.873 * * [simplify]: Extracting #0: cost 1 inf + 0 112.873 * * [simplify]: Extracting #1: cost 15 inf + 0 112.873 * * [simplify]: Extracting #2: cost 80 inf + 0 112.874 * * [simplify]: Extracting #3: cost 139 inf + 74 112.875 * * [simplify]: Extracting #4: cost 158 inf + 1498 112.877 * * [simplify]: Extracting #5: cost 76 inf + 15601 112.883 * * [simplify]: Extracting #6: cost 9 inf + 31779 112.889 * * [simplify]: Extracting #7: cost 0 inf + 34325 112.902 * * [simplify]: Extracting #8: cost 0 inf + 34324 112.915 * [simplify]: Simplified to (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 112.915 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 112.915 * * * * [progress]: [ 72 / 112 ] simplifiying candidate # 112.916 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 112.916 * * [simplify]: iters left: 6 (15 enodes) 112.925 * * [simplify]: iters left: 5 (70 enodes) 112.937 * * [simplify]: iters left: 4 (133 enodes) 112.973 * * [simplify]: iters left: 3 (282 enodes) 113.069 * * [simplify]: Extracting #0: cost 1 inf + 0 113.069 * * [simplify]: Extracting #1: cost 19 inf + 0 113.070 * * [simplify]: Extracting #2: cost 106 inf + 0 113.070 * * [simplify]: Extracting #3: cost 171 inf + 76 113.071 * * [simplify]: Extracting #4: cost 195 inf + 1725 113.073 * * [simplify]: Extracting #5: cost 113 inf + 18537 113.080 * * [simplify]: Extracting #6: cost 12 inf + 44397 113.096 * * [simplify]: Extracting #7: cost 2 inf + 45355 113.112 * * [simplify]: Extracting #8: cost 0 inf + 45762 113.128 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 113.128 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 113.128 * * * * [progress]: [ 73 / 112 ] simplifiying candidate # 113.128 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2)) 113.128 * * [simplify]: iters left: 6 (15 enodes) 113.137 * * [simplify]: iters left: 5 (64 enodes) 113.159 * * [simplify]: iters left: 4 (111 enodes) 113.194 * * [simplify]: iters left: 3 (214 enodes) 113.255 * * [simplify]: Extracting #0: cost 1 inf + 0 113.255 * * [simplify]: Extracting #1: cost 14 inf + 0 113.256 * * [simplify]: Extracting #2: cost 101 inf + 0 113.257 * * [simplify]: Extracting #3: cost 176 inf + 3 113.258 * * [simplify]: Extracting #4: cost 181 inf + 1686 113.264 * * [simplify]: Extracting #5: cost 82 inf + 21618 113.277 * * [simplify]: Extracting #6: cost 3 inf + 41021 113.291 * * [simplify]: Extracting #7: cost 0 inf + 41900 113.298 * [simplify]: Simplified to (+ (* (log k) -1/2) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))) 113.298 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))))) 113.298 * * * * [progress]: [ 74 / 112 ] simplifiying candidate # 113.299 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2)) 113.299 * * [simplify]: iters left: 6 (15 enodes) 113.303 * * [simplify]: iters left: 5 (64 enodes) 113.314 * * [simplify]: iters left: 4 (111 enodes) 113.344 * * [simplify]: iters left: 3 (214 enodes) 113.410 * * [simplify]: Extracting #0: cost 1 inf + 0 113.410 * * [simplify]: Extracting #1: cost 14 inf + 0 113.410 * * [simplify]: Extracting #2: cost 101 inf + 0 113.411 * * [simplify]: Extracting #3: cost 176 inf + 3 113.413 * * [simplify]: Extracting #4: cost 181 inf + 1686 113.418 * * [simplify]: Extracting #5: cost 82 inf + 21618 113.425 * * [simplify]: Extracting #6: cost 3 inf + 41021 113.432 * * [simplify]: Extracting #7: cost 0 inf + 41900 113.439 * [simplify]: Simplified to (+ (* (log k) -1/2) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))) 113.439 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))))) 113.439 * * * * [progress]: [ 75 / 112 ] simplifiying candidate # 113.439 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (pow k -1/2))) 113.440 * * [simplify]: iters left: 6 (15 enodes) 113.444 * * [simplify]: iters left: 5 (69 enodes) 113.466 * * [simplify]: iters left: 4 (133 enodes) 113.518 * * [simplify]: iters left: 3 (275 enodes) 113.629 * * [simplify]: Extracting #0: cost 1 inf + 0 113.629 * * [simplify]: Extracting #1: cost 16 inf + 0 113.629 * * [simplify]: Extracting #2: cost 120 inf + 0 113.630 * * [simplify]: Extracting #3: cost 206 inf + 4 113.633 * * [simplify]: Extracting #4: cost 185 inf + 7382 113.648 * * [simplify]: Extracting #5: cost 62 inf + 35143 113.662 * * [simplify]: Extracting #6: cost 4 inf + 50714 113.679 * * [simplify]: Extracting #7: cost 0 inf + 52658 113.689 * [simplify]: Simplified to (+ (* -1/2 (log k)) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))) 113.689 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))))) 113.689 * * * * [progress]: [ 76 / 112 ] simplifiying candidate # 113.689 * [simplify]: Simplifying (log (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 113.689 * * [simplify]: iters left: 6 (14 enodes) 113.694 * * [simplify]: iters left: 5 (65 enodes) 113.707 * * [simplify]: iters left: 4 (135 enodes) 113.752 * * [simplify]: iters left: 3 (290 enodes) 113.838 * * [simplify]: Extracting #0: cost 1 inf + 0 113.839 * * [simplify]: Extracting #1: cost 18 inf + 0 113.839 * * [simplify]: Extracting #2: cost 131 inf + 0 113.840 * * [simplify]: Extracting #3: cost 242 inf + 5 113.842 * * [simplify]: Extracting #4: cost 238 inf + 2351 113.848 * * [simplify]: Extracting #5: cost 150 inf + 22403 113.866 * * [simplify]: Extracting #6: cost 28 inf + 85937 113.890 * * [simplify]: Extracting #7: cost 2 inf + 98598 113.907 * * [simplify]: Extracting #8: cost 0 inf + 98824 113.919 * [simplify]: Simplified to (+ (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (* (log k) -1/2)) 113.919 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (* (log k) -1/2)))) 113.919 * * * * [progress]: [ 77 / 112 ] simplifiying candidate # 113.920 * [simplify]: Simplifying (exp (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 113.920 * * [simplify]: iters left: 6 (14 enodes) 113.924 * * [simplify]: iters left: 5 (64 enodes) 113.937 * * [simplify]: iters left: 4 (130 enodes) 113.972 * * [simplify]: iters left: 3 (279 enodes) 114.054 * * [simplify]: Extracting #0: cost 1 inf + 0 114.054 * * [simplify]: Extracting #1: cost 33 inf + 0 114.054 * * [simplify]: Extracting #2: cost 136 inf + 0 114.055 * * [simplify]: Extracting #3: cost 210 inf + 470 114.056 * * [simplify]: Extracting #4: cost 169 inf + 15988 114.064 * * [simplify]: Extracting #5: cost 43 inf + 83469 114.081 * * [simplify]: Extracting #6: cost 1 inf + 112095 114.096 * * [simplify]: Extracting #7: cost 0 inf + 111782 114.108 * * [simplify]: Extracting #8: cost 0 inf + 111204 114.122 * [simplify]: Simplified to (exp (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 114.122 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 114.122 * * * * [progress]: [ 78 / 112 ] simplifiying candidate # 114.123 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2))) 114.123 * * [simplify]: iters left: 6 (17 enodes) 114.129 * * [simplify]: iters left: 5 (82 enodes) 114.152 * * [simplify]: iters left: 4 (191 enodes) 114.233 * * [simplify]: Extracting #0: cost 1 inf + 0 114.233 * * [simplify]: Extracting #1: cost 37 inf + 0 114.233 * * [simplify]: Extracting #2: cost 148 inf + 1 114.234 * * [simplify]: Extracting #3: cost 164 inf + 1227 114.235 * * [simplify]: Extracting #4: cost 143 inf + 7368 114.237 * * [simplify]: Extracting #5: cost 95 inf + 22306 114.246 * * [simplify]: Extracting #6: cost 16 inf + 75710 114.258 * * [simplify]: Extracting #7: cost 0 inf + 88890 114.275 * [simplify]: Simplified to (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2))) 114.275 * [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)))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2))))) 114.275 * * * * [progress]: [ 79 / 112 ] simplifiying candidate # 114.275 * [simplify]: Simplifying (* (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))) 114.275 * * [simplify]: iters left: 6 (15 enodes) 114.285 * * [simplify]: iters left: 5 (65 enodes) 114.309 * * [simplify]: iters left: 4 (122 enodes) 114.349 * * [simplify]: iters left: 3 (239 enodes) 114.437 * * [simplify]: Extracting #0: cost 1 inf + 0 114.437 * * [simplify]: Extracting #1: cost 3 inf + 0 114.437 * * [simplify]: Extracting #2: cost 5 inf + 0 114.437 * * [simplify]: Extracting #3: cost 36 inf + 0 114.438 * * [simplify]: Extracting #4: cost 116 inf + 0 114.439 * * [simplify]: Extracting #5: cost 142 inf + 218 114.440 * * [simplify]: Extracting #6: cost 122 inf + 3845 114.447 * * [simplify]: Extracting #7: cost 50 inf + 34637 114.460 * * [simplify]: Extracting #8: cost 5 inf + 66577 114.475 * * [simplify]: Extracting #9: cost 0 inf + 70837 114.491 * [simplify]: Simplified to (* (cbrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 114.491 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))))) 114.491 * [simplify]: Simplifying (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 114.491 * * [simplify]: iters left: 6 (14 enodes) 114.501 * * [simplify]: iters left: 5 (62 enodes) 114.523 * * [simplify]: iters left: 4 (119 enodes) 114.547 * * [simplify]: iters left: 3 (237 enodes) 114.619 * * [simplify]: Extracting #0: cost 1 inf + 0 114.620 * * [simplify]: Extracting #1: cost 3 inf + 0 114.620 * * [simplify]: Extracting #2: cost 34 inf + 0 114.620 * * [simplify]: Extracting #3: cost 114 inf + 0 114.621 * * [simplify]: Extracting #4: cost 141 inf + 6 114.622 * * [simplify]: Extracting #5: cost 128 inf + 2672 114.627 * * [simplify]: Extracting #6: cost 63 inf + 30140 114.639 * * [simplify]: Extracting #7: cost 12 inf + 59069 114.659 * * [simplify]: Extracting #8: cost 0 inf + 68931 114.667 * [simplify]: Simplified to (cbrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 114.667 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))) (cbrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 114.667 * * * * [progress]: [ 80 / 112 ] simplifiying candidate # 114.667 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 114.667 * * [simplify]: iters left: 6 (15 enodes) 114.673 * * [simplify]: iters left: 5 (75 enodes) 114.689 * * [simplify]: iters left: 4 (198 enodes) 114.784 * * [simplify]: Extracting #0: cost 1 inf + 0 114.784 * * [simplify]: Extracting #1: cost 49 inf + 0 114.785 * * [simplify]: Extracting #2: cost 178 inf + 1 114.785 * * [simplify]: Extracting #3: cost 195 inf + 8 114.787 * * [simplify]: Extracting #4: cost 154 inf + 19235 114.796 * * [simplify]: Extracting #5: cost 52 inf + 80289 114.821 * * [simplify]: Extracting #6: cost 1 inf + 121242 114.842 * * [simplify]: Extracting #7: cost 0 inf + 121988 114.858 * [simplify]: Simplified to (* (* (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 114.858 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 114.858 * * * * [progress]: [ 81 / 112 ] simplifiying candidate # 114.858 * [simplify]: Simplifying (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 114.859 * * [simplify]: iters left: 6 (14 enodes) 114.867 * * [simplify]: iters left: 5 (62 enodes) 114.888 * * [simplify]: iters left: 4 (119 enodes) 114.911 * * [simplify]: iters left: 3 (239 enodes) 114.975 * * [simplify]: Extracting #0: cost 1 inf + 0 114.975 * * [simplify]: Extracting #1: cost 4 inf + 0 114.975 * * [simplify]: Extracting #2: cost 41 inf + 0 114.975 * * [simplify]: Extracting #3: cost 114 inf + 0 114.976 * * [simplify]: Extracting #4: cost 140 inf + 218 114.977 * * [simplify]: Extracting #5: cost 125 inf + 3260 114.979 * * [simplify]: Extracting #6: cost 62 inf + 27059 114.992 * * [simplify]: Extracting #7: cost 9 inf + 62336 115.007 * * [simplify]: Extracting #8: cost 0 inf + 68851 115.022 * [simplify]: Simplified to (sqrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 115.022 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))))) 115.023 * [simplify]: Simplifying (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 115.023 * * [simplify]: iters left: 6 (14 enodes) 115.035 * * [simplify]: iters left: 5 (62 enodes) 115.058 * * [simplify]: iters left: 4 (119 enodes) 115.102 * * [simplify]: iters left: 3 (239 enodes) 115.181 * * [simplify]: Extracting #0: cost 1 inf + 0 115.181 * * [simplify]: Extracting #1: cost 4 inf + 0 115.181 * * [simplify]: Extracting #2: cost 41 inf + 0 115.182 * * [simplify]: Extracting #3: cost 114 inf + 0 115.182 * * [simplify]: Extracting #4: cost 140 inf + 218 115.184 * * [simplify]: Extracting #5: cost 125 inf + 3260 115.189 * * [simplify]: Extracting #6: cost 62 inf + 27059 115.201 * * [simplify]: Extracting #7: cost 9 inf + 62336 115.217 * * [simplify]: Extracting #8: cost 0 inf + 68851 115.232 * [simplify]: Simplified to (sqrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 115.232 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) (sqrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 115.232 * * * * [progress]: [ 82 / 112 ] simplifiying candidate # 115.232 * * * * [progress]: [ 83 / 112 ] simplifiying candidate # 115.233 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 115.233 * * [simplify]: iters left: 6 (15 enodes) 115.241 * * [simplify]: iters left: 5 (65 enodes) 115.264 * * [simplify]: iters left: 4 (115 enodes) 115.308 * * [simplify]: iters left: 3 (198 enodes) 115.348 * * [simplify]: iters left: 2 (369 enodes) 115.476 * * [simplify]: Extracting #0: cost 1 inf + 0 115.476 * * [simplify]: Extracting #1: cost 26 inf + 0 115.476 * * [simplify]: Extracting #2: cost 81 inf + 0 115.477 * * [simplify]: Extracting #3: cost 94 inf + 7 115.478 * * [simplify]: Extracting #4: cost 145 inf + 10 115.480 * * [simplify]: Extracting #5: cost 146 inf + 6814 115.486 * * [simplify]: Extracting #6: cost 68 inf + 34823 115.507 * * [simplify]: Extracting #7: cost 9 inf + 69804 115.520 * * [simplify]: Extracting #8: cost 0 inf + 77240 115.530 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 115.530 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)))) 115.530 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 115.531 * * [simplify]: iters left: 6 (15 enodes) 115.536 * * [simplify]: iters left: 5 (65 enodes) 115.548 * * [simplify]: iters left: 4 (115 enodes) 115.571 * * [simplify]: iters left: 3 (198 enodes) 115.631 * * [simplify]: iters left: 2 (369 enodes) 115.728 * * [simplify]: Extracting #0: cost 1 inf + 0 115.728 * * [simplify]: Extracting #1: cost 26 inf + 0 115.728 * * [simplify]: Extracting #2: cost 81 inf + 0 115.729 * * [simplify]: Extracting #3: cost 94 inf + 7 115.730 * * [simplify]: Extracting #4: cost 145 inf + 10 115.732 * * [simplify]: Extracting #5: cost 146 inf + 6814 115.738 * * [simplify]: Extracting #6: cost 68 inf + 34823 115.754 * * [simplify]: Extracting #7: cost 9 inf + 69804 115.772 * * [simplify]: Extracting #8: cost 0 inf + 77240 115.791 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 115.791 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)))) 115.792 * * * * [progress]: [ 84 / 112 ] simplifiying candidate # 115.792 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 115.792 * * [simplify]: iters left: 6 (15 enodes) 115.801 * * [simplify]: iters left: 5 (65 enodes) 115.829 * * [simplify]: iters left: 4 (112 enodes) 115.856 * * [simplify]: iters left: 3 (184 enodes) 115.903 * * [simplify]: iters left: 2 (324 enodes) 115.995 * * [simplify]: Extracting #0: cost 1 inf + 0 115.995 * * [simplify]: Extracting #1: cost 4 inf + 0 115.995 * * [simplify]: Extracting #2: cost 10 inf + 0 115.995 * * [simplify]: Extracting #3: cost 42 inf + 0 115.996 * * [simplify]: Extracting #4: cost 115 inf + 4 115.997 * * [simplify]: Extracting #5: cost 124 inf + 1655 116.001 * * [simplify]: Extracting #6: cost 56 inf + 18041 116.009 * * [simplify]: Extracting #7: cost 11 inf + 35147 116.020 * * [simplify]: Extracting #8: cost 1 inf + 42204 116.030 * * [simplify]: Extracting #9: cost 0 inf + 42508 116.040 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 116.040 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))))) 116.040 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 116.041 * * [simplify]: iters left: 6 (15 enodes) 116.047 * * [simplify]: iters left: 5 (65 enodes) 116.063 * * [simplify]: iters left: 4 (112 enodes) 116.088 * * [simplify]: iters left: 3 (184 enodes) 116.150 * * [simplify]: iters left: 2 (324 enodes) 116.243 * * [simplify]: Extracting #0: cost 1 inf + 0 116.243 * * [simplify]: Extracting #1: cost 4 inf + 0 116.243 * * [simplify]: Extracting #2: cost 10 inf + 0 116.243 * * [simplify]: Extracting #3: cost 42 inf + 0 116.243 * * [simplify]: Extracting #4: cost 115 inf + 4 116.245 * * [simplify]: Extracting #5: cost 124 inf + 1655 116.248 * * [simplify]: Extracting #6: cost 56 inf + 18041 116.256 * * [simplify]: Extracting #7: cost 11 inf + 35147 116.266 * * [simplify]: Extracting #8: cost 1 inf + 42204 116.277 * * [simplify]: Extracting #9: cost 0 inf + 42508 116.292 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 116.292 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))))) 116.293 * * * * [progress]: [ 85 / 112 ] simplifiying candidate # 116.293 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) 116.293 * * [simplify]: iters left: 6 (15 enodes) 116.302 * * [simplify]: iters left: 5 (66 enodes) 116.318 * * [simplify]: iters left: 4 (121 enodes) 116.353 * * [simplify]: iters left: 3 (219 enodes) 116.425 * * [simplify]: iters left: 2 (386 enodes) 116.570 * * [simplify]: Extracting #0: cost 1 inf + 0 116.570 * * [simplify]: Extracting #1: cost 30 inf + 0 116.570 * * [simplify]: Extracting #2: cost 84 inf + 0 116.570 * * [simplify]: Extracting #3: cost 92 inf + 432 116.571 * * [simplify]: Extracting #4: cost 128 inf + 8056 116.573 * * [simplify]: Extracting #5: cost 136 inf + 13918 116.576 * * [simplify]: Extracting #6: cost 80 inf + 28768 116.592 * * [simplify]: Extracting #7: cost 10 inf + 71781 116.610 * * [simplify]: Extracting #8: cost 0 inf + 79110 116.628 * * [simplify]: Extracting #9: cost 0 inf + 78285 116.647 * * [simplify]: Extracting #10: cost 0 inf + 78023 116.661 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (pow k -1/4)) 116.661 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (pow k -1/4)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))))) 116.661 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) 116.661 * * [simplify]: iters left: 6 (15 enodes) 116.667 * * [simplify]: iters left: 5 (66 enodes) 116.687 * * [simplify]: iters left: 4 (121 enodes) 116.713 * * [simplify]: iters left: 3 (219 enodes) 116.757 * * [simplify]: iters left: 2 (386 enodes) 116.874 * * [simplify]: Extracting #0: cost 1 inf + 0 116.874 * * [simplify]: Extracting #1: cost 30 inf + 0 116.874 * * [simplify]: Extracting #2: cost 84 inf + 0 116.874 * * [simplify]: Extracting #3: cost 92 inf + 432 116.875 * * [simplify]: Extracting #4: cost 128 inf + 8056 116.877 * * [simplify]: Extracting #5: cost 136 inf + 13918 116.880 * * [simplify]: Extracting #6: cost 80 inf + 28768 116.892 * * [simplify]: Extracting #7: cost 10 inf + 71781 116.910 * * [simplify]: Extracting #8: cost 0 inf + 79110 116.928 * * [simplify]: Extracting #9: cost 0 inf + 78285 116.946 * * [simplify]: Extracting #10: cost 0 inf + 78023 116.962 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (pow k -1/4)) 116.962 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (pow k -1/4)))) 116.962 * * * * [progress]: [ 86 / 112 ] simplifiying candidate # 116.962 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) 116.962 * * [simplify]: iters left: 6 (15 enodes) 116.967 * * [simplify]: iters left: 5 (68 enodes) 116.980 * * [simplify]: iters left: 4 (128 enodes) 117.025 * * [simplify]: iters left: 3 (258 enodes) 117.104 * * [simplify]: Extracting #0: cost 1 inf + 0 117.104 * * [simplify]: Extracting #1: cost 25 inf + 0 117.104 * * [simplify]: Extracting #2: cost 106 inf + 0 117.105 * * [simplify]: Extracting #3: cost 147 inf + 4 117.105 * * [simplify]: Extracting #4: cost 150 inf + 391 117.107 * * [simplify]: Extracting #5: cost 97 inf + 12126 117.114 * * [simplify]: Extracting #6: cost 25 inf + 51026 117.131 * * [simplify]: Extracting #7: cost 0 inf + 69796 117.148 * * [simplify]: Extracting #8: cost 0 inf + 69636 117.164 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) 117.164 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)))) 117.165 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) 117.165 * * [simplify]: iters left: 6 (15 enodes) 117.173 * * [simplify]: iters left: 5 (68 enodes) 117.186 * * [simplify]: iters left: 4 (128 enodes) 117.225 * * [simplify]: iters left: 3 (258 enodes) 117.311 * * [simplify]: Extracting #0: cost 1 inf + 0 117.311 * * [simplify]: Extracting #1: cost 25 inf + 0 117.312 * * [simplify]: Extracting #2: cost 106 inf + 0 117.313 * * [simplify]: Extracting #3: cost 147 inf + 4 117.314 * * [simplify]: Extracting #4: cost 150 inf + 391 117.317 * * [simplify]: Extracting #5: cost 97 inf + 12126 117.324 * * [simplify]: Extracting #6: cost 25 inf + 51026 117.332 * * [simplify]: Extracting #7: cost 0 inf + 69796 117.340 * * [simplify]: Extracting #8: cost 0 inf + 69636 117.348 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) 117.349 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)))) 117.349 * * * * [progress]: [ 87 / 112 ] simplifiying candidate # 117.349 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) 117.349 * * [simplify]: iters left: 6 (15 enodes) 117.355 * * [simplify]: iters left: 5 (68 enodes) 117.372 * * [simplify]: iters left: 4 (121 enodes) 117.398 * * [simplify]: iters left: 3 (221 enodes) 117.467 * * [simplify]: iters left: 2 (430 enodes) 117.576 * * [simplify]: Extracting #0: cost 1 inf + 0 117.576 * * [simplify]: Extracting #1: cost 26 inf + 0 117.580 * * [simplify]: Extracting #2: cost 94 inf + 0 117.580 * * [simplify]: Extracting #3: cost 158 inf + 2 117.581 * * [simplify]: Extracting #4: cost 184 inf + 479 117.583 * * [simplify]: Extracting #5: cost 142 inf + 5983 117.588 * * [simplify]: Extracting #6: cost 54 inf + 40502 117.598 * * [simplify]: Extracting #7: cost 3 inf + 77188 117.609 * * [simplify]: Extracting #8: cost 0 inf + 79719 117.627 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (pow k -1/2))) 117.627 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))))) 117.628 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) 117.628 * * [simplify]: iters left: 6 (15 enodes) 117.633 * * [simplify]: iters left: 5 (68 enodes) 117.646 * * [simplify]: iters left: 4 (121 enodes) 117.672 * * [simplify]: iters left: 3 (221 enodes) 117.727 * * [simplify]: iters left: 2 (430 enodes) 117.862 * * [simplify]: Extracting #0: cost 1 inf + 0 117.862 * * [simplify]: Extracting #1: cost 26 inf + 0 117.863 * * [simplify]: Extracting #2: cost 94 inf + 0 117.863 * * [simplify]: Extracting #3: cost 158 inf + 2 117.864 * * [simplify]: Extracting #4: cost 184 inf + 479 117.865 * * [simplify]: Extracting #5: cost 142 inf + 5983 117.874 * * [simplify]: Extracting #6: cost 54 inf + 40502 117.884 * * [simplify]: Extracting #7: cost 3 inf + 77188 117.896 * * [simplify]: Extracting #8: cost 0 inf + 79719 117.906 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (pow k -1/2))) 117.906 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (pow k -1/2))))) 117.907 * * * * [progress]: [ 88 / 112 ] simplifiying candidate # 117.907 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) 117.907 * * [simplify]: iters left: 6 (15 enodes) 117.913 * * [simplify]: iters left: 5 (69 enodes) 117.927 * * [simplify]: iters left: 4 (134 enodes) 117.970 * * [simplify]: iters left: 3 (272 enodes) 118.071 * * [simplify]: Extracting #0: cost 1 inf + 0 118.071 * * [simplify]: Extracting #1: cost 32 inf + 0 118.072 * * [simplify]: Extracting #2: cost 111 inf + 0 118.077 * * [simplify]: Extracting #3: cost 143 inf + 218 118.079 * * [simplify]: Extracting #4: cost 129 inf + 4014 118.086 * * [simplify]: Extracting #5: cost 50 inf + 37569 118.100 * * [simplify]: Extracting #6: cost 7 inf + 62129 118.116 * * [simplify]: Extracting #7: cost 0 inf + 67749 118.132 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) 118.132 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))))) 118.132 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) 118.132 * * [simplify]: iters left: 6 (15 enodes) 118.138 * * [simplify]: iters left: 5 (69 enodes) 118.151 * * [simplify]: iters left: 4 (134 enodes) 118.188 * * [simplify]: iters left: 3 (272 enodes) 118.283 * * [simplify]: Extracting #0: cost 1 inf + 0 118.283 * * [simplify]: Extracting #1: cost 32 inf + 0 118.284 * * [simplify]: Extracting #2: cost 111 inf + 0 118.285 * * [simplify]: Extracting #3: cost 143 inf + 218 118.286 * * [simplify]: Extracting #4: cost 129 inf + 4014 118.293 * * [simplify]: Extracting #5: cost 50 inf + 37569 118.311 * * [simplify]: Extracting #6: cost 7 inf + 62129 118.321 * * [simplify]: Extracting #7: cost 0 inf + 67749 118.329 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) 118.330 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)))) 118.330 * * * * [progress]: [ 89 / 112 ] simplifiying candidate # 118.330 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* (cbrt k) (cbrt k)) -1/2)) 118.330 * * [simplify]: iters left: 6 (15 enodes) 118.335 * * [simplify]: iters left: 5 (65 enodes) 118.348 * * [simplify]: iters left: 4 (122 enodes) 118.395 * * [simplify]: iters left: 3 (238 enodes) 118.483 * * [simplify]: Extracting #0: cost 1 inf + 0 118.483 * * [simplify]: Extracting #1: cost 32 inf + 0 118.484 * * [simplify]: Extracting #2: cost 113 inf + 0 118.485 * * [simplify]: Extracting #3: cost 143 inf + 5 118.486 * * [simplify]: Extracting #4: cost 145 inf + 140 118.487 * * [simplify]: Extracting #5: cost 134 inf + 1263 118.491 * * [simplify]: Extracting #6: cost 85 inf + 18162 118.505 * * [simplify]: Extracting #7: cost 17 inf + 62599 118.524 * * [simplify]: Extracting #8: cost 0 inf + 76522 118.547 * * [simplify]: Extracting #9: cost 0 inf + 76442 118.565 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (cbrt k) (cbrt k)) -1/2)) 118.565 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (cbrt k) (cbrt k)) -1/2)) (pow (cbrt k) -1/2))) 118.566 * * * * [progress]: [ 90 / 112 ] simplifiying candidate # 118.566 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1/2)) 118.566 * * [simplify]: iters left: 6 (14 enodes) 118.576 * * [simplify]: iters left: 5 (62 enodes) 118.598 * * [simplify]: iters left: 4 (119 enodes) 118.622 * * [simplify]: iters left: 3 (237 enodes) 118.688 * * [simplify]: Extracting #0: cost 1 inf + 0 118.688 * * [simplify]: Extracting #1: cost 32 inf + 0 118.688 * * [simplify]: Extracting #2: cost 113 inf + 0 118.689 * * [simplify]: Extracting #3: cost 145 inf + 5 118.690 * * [simplify]: Extracting #4: cost 140 inf + 642 118.692 * * [simplify]: Extracting #5: cost 75 inf + 25337 118.699 * * [simplify]: Extracting #6: cost 9 inf + 63584 118.708 * * [simplify]: Extracting #7: cost 0 inf + 69673 118.716 * * [simplify]: Extracting #8: cost 0 inf + 69513 118.728 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (sqrt k) -1/2)) 118.728 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (sqrt k) -1/2)) (pow (sqrt k) -1/2))) 118.728 * * * * [progress]: [ 91 / 112 ] simplifiying candidate # 118.729 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow 1 -1/2)) 118.729 * * [simplify]: iters left: 6 (13 enodes) 118.737 * * [simplify]: iters left: 5 (53 enodes) 118.754 * * [simplify]: iters left: 4 (88 enodes) 118.781 * * [simplify]: iters left: 3 (131 enodes) 118.824 * * [simplify]: iters left: 2 (220 enodes) 118.907 * * [simplify]: iters left: 1 (419 enodes) 119.090 * * [simplify]: Extracting #0: cost 1 inf + 0 119.090 * * [simplify]: Extracting #1: cost 25 inf + 0 119.091 * * [simplify]: Extracting #2: cost 111 inf + 2 119.092 * * [simplify]: Extracting #3: cost 170 inf + 176 119.094 * * [simplify]: Extracting #4: cost 165 inf + 767 119.099 * * [simplify]: Extracting #5: cost 91 inf + 12173 119.117 * * [simplify]: Extracting #6: cost 10 inf + 54187 119.138 * * [simplify]: Extracting #7: cost 0 inf + 60799 119.164 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 119.164 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow k -1/2))) 119.164 * * * * [progress]: [ 92 / 112 ] simplifiying candidate # 119.164 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))) 119.164 * * [simplify]: iters left: 6 (15 enodes) 119.173 * * [simplify]: iters left: 5 (67 enodes) 119.197 * * [simplify]: iters left: 4 (125 enodes) 119.241 * * [simplify]: iters left: 3 (227 enodes) 119.320 * * [simplify]: iters left: 2 (461 enodes) 119.499 * * [simplify]: Extracting #0: cost 1 inf + 0 119.499 * * [simplify]: Extracting #1: cost 54 inf + 0 119.500 * * [simplify]: Extracting #2: cost 187 inf + 0 119.502 * * [simplify]: Extracting #3: cost 242 inf + 2 119.504 * * [simplify]: Extracting #4: cost 257 inf + 2467 119.514 * * [simplify]: Extracting #5: cost 161 inf + 42981 119.547 * * [simplify]: Extracting #6: cost 45 inf + 135884 119.587 * * [simplify]: Extracting #7: cost 10 inf + 165593 119.631 * * [simplify]: Extracting #8: cost 0 inf + 170645 119.672 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))) 119.672 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))) (cbrt (pow k -1/2)))) 119.672 * * * * [progress]: [ 93 / 112 ] simplifiying candidate # 119.673 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (pow k -1/2))) 119.673 * * [simplify]: iters left: 6 (14 enodes) 119.682 * * [simplify]: iters left: 5 (62 enodes) 119.705 * * [simplify]: iters left: 4 (112 enodes) 119.743 * * [simplify]: iters left: 3 (192 enodes) 119.808 * * [simplify]: iters left: 2 (373 enodes) 119.901 * * [simplify]: Extracting #0: cost 1 inf + 0 119.901 * * [simplify]: Extracting #1: cost 33 inf + 0 119.902 * * [simplify]: Extracting #2: cost 109 inf + 0 119.902 * * [simplify]: Extracting #3: cost 163 inf + 2 119.903 * * [simplify]: Extracting #4: cost 182 inf + 1017 119.905 * * [simplify]: Extracting #5: cost 126 inf + 11254 119.910 * * [simplify]: Extracting #6: cost 57 inf + 45578 119.928 * * [simplify]: Extracting #7: cost 2 inf + 92995 119.951 * * [simplify]: Extracting #8: cost 0 inf + 94101 119.969 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (pow k -1/4))) 119.969 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (pow k -1/4))) (sqrt (pow k -1/2)))) 119.969 * * * * [progress]: [ 94 / 112 ] simplifiying candidate # 119.969 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) 119.969 * * [simplify]: iters left: 6 (11 enodes) 119.973 * * [simplify]: iters left: 5 (47 enodes) 119.981 * * [simplify]: iters left: 4 (82 enodes) 120.000 * * [simplify]: iters left: 3 (129 enodes) 120.049 * * [simplify]: iters left: 2 (240 enodes) 120.114 * * [simplify]: iters left: 1 (464 enodes) 120.381 * * [simplify]: Extracting #0: cost 1 inf + 0 120.381 * * [simplify]: Extracting #1: cost 25 inf + 0 120.382 * * [simplify]: Extracting #2: cost 120 inf + 2 120.383 * * [simplify]: Extracting #3: cost 180 inf + 176 120.385 * * [simplify]: Extracting #4: cost 169 inf + 1182 120.391 * * [simplify]: Extracting #5: cost 88 inf + 13164 120.406 * * [simplify]: Extracting #6: cost 25 inf + 49179 120.430 * * [simplify]: Extracting #7: cost 0 inf + 72703 120.453 * * [simplify]: Extracting #8: cost 0 inf + 72582 120.477 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/2 (- 1 k))) 120.478 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/2 (- 1 k))) (pow k -1/2))) 120.478 * * * * [progress]: [ 95 / 112 ] simplifiying candidate # 120.478 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k (/ -1/2 2))) 120.478 * * [simplify]: iters left: 6 (14 enodes) 120.487 * * [simplify]: iters left: 5 (62 enodes) 120.516 * * [simplify]: iters left: 4 (122 enodes) 120.561 * * [simplify]: iters left: 3 (240 enodes) 120.677 * * [simplify]: Extracting #0: cost 1 inf + 0 120.677 * * [simplify]: Extracting #1: cost 36 inf + 0 120.677 * * [simplify]: Extracting #2: cost 118 inf + 0 120.678 * * [simplify]: Extracting #3: cost 146 inf + 6 120.679 * * [simplify]: Extracting #4: cost 136 inf + 1451 120.682 * * [simplify]: Extracting #5: cost 56 inf + 36063 120.690 * * [simplify]: Extracting #6: cost 4 inf + 66181 120.703 * * [simplify]: Extracting #7: cost 0 inf + 68900 120.721 * * [simplify]: Extracting #8: cost 0 inf + 68821 120.743 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow k -1/4)) 120.743 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow k -1/4)) (pow k (/ -1/2 2)))) 120.743 * * * * [progress]: [ 96 / 112 ] simplifiying candidate # 120.743 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow k -1/2)) 120.743 * * [simplify]: iters left: 6 (11 enodes) 120.751 * * [simplify]: iters left: 5 (50 enodes) 120.769 * * [simplify]: iters left: 4 (95 enodes) 120.806 * * [simplify]: iters left: 3 (208 enodes) 120.912 * * [simplify]: Extracting #0: cost 1 inf + 0 120.912 * * [simplify]: Extracting #1: cost 32 inf + 0 120.913 * * [simplify]: Extracting #2: cost 114 inf + 0 120.914 * * [simplify]: Extracting #3: cost 138 inf + 218 120.915 * * [simplify]: Extracting #4: cost 124 inf + 3929 120.919 * * [simplify]: Extracting #5: cost 73 inf + 20075 120.929 * * [simplify]: Extracting #6: cost 14 inf + 53854 120.936 * * [simplify]: Extracting #7: cost 0 inf + 64568 120.943 * [simplify]: Simplified to (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))) 120.943 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))))) 120.943 * * * * [progress]: [ 97 / 112 ] simplifiying candidate # 120.944 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k -1/2)) 120.944 * * [simplify]: iters left: 6 (14 enodes) 120.948 * * [simplify]: iters left: 5 (62 enodes) 120.960 * * [simplify]: iters left: 4 (111 enodes) 121.002 * * [simplify]: iters left: 3 (195 enodes) 121.049 * * [simplify]: iters left: 2 (358 enodes) 121.164 * * [simplify]: Extracting #0: cost 1 inf + 0 121.164 * * [simplify]: Extracting #1: cost 23 inf + 0 121.165 * * [simplify]: Extracting #2: cost 79 inf + 0 121.165 * * [simplify]: Extracting #3: cost 81 inf + 644 121.166 * * [simplify]: Extracting #4: cost 111 inf + 6388 121.167 * * [simplify]: Extracting #5: cost 126 inf + 13584 121.169 * * [simplify]: Extracting #6: cost 93 inf + 20543 121.174 * * [simplify]: Extracting #7: cost 40 inf + 40998 121.188 * * [simplify]: Extracting #8: cost 3 inf + 70948 121.207 * * [simplify]: Extracting #9: cost 0 inf + 73466 121.215 * [simplify]: Simplified to (* (pow k -1/2) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 121.215 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (pow k -1/2) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 121.216 * * * * [progress]: [ 98 / 112 ] simplifiying candidate # 121.216 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k -1/2)) 121.216 * * [simplify]: iters left: 6 (14 enodes) 121.221 * * [simplify]: iters left: 5 (62 enodes) 121.233 * * [simplify]: iters left: 4 (112 enodes) 121.256 * * [simplify]: iters left: 3 (196 enodes) 121.303 * * [simplify]: iters left: 2 (365 enodes) 121.401 * * [simplify]: Extracting #0: cost 1 inf + 0 121.401 * * [simplify]: Extracting #1: cost 23 inf + 0 121.401 * * [simplify]: Extracting #2: cost 78 inf + 0 121.402 * * [simplify]: Extracting #3: cost 85 inf + 895 121.403 * * [simplify]: Extracting #4: cost 122 inf + 8279 121.404 * * [simplify]: Extracting #5: cost 130 inf + 12573 121.407 * * [simplify]: Extracting #6: cost 82 inf + 23655 121.420 * * [simplify]: Extracting #7: cost 9 inf + 66999 121.429 * * [simplify]: Extracting #8: cost 0 inf + 72900 121.438 * * [simplify]: Extracting #9: cost 0 inf + 72535 121.450 * [simplify]: Simplified to (* (pow k -1/2) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 121.450 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (pow k -1/2) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 121.450 * * * * [progress]: [ 99 / 112 ] simplifiying candidate # 121.450 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)) 121.450 * * [simplify]: iters left: 6 (13 enodes) 121.459 * * [simplify]: iters left: 5 (59 enodes) 121.476 * * [simplify]: iters left: 4 (116 enodes) 121.501 * * [simplify]: iters left: 3 (230 enodes) 121.585 * * [simplify]: Extracting #0: cost 1 inf + 0 121.586 * * [simplify]: Extracting #1: cost 32 inf + 0 121.586 * * [simplify]: Extracting #2: cost 114 inf + 0 121.586 * * [simplify]: Extracting #3: cost 141 inf + 218 121.587 * * [simplify]: Extracting #4: cost 121 inf + 4652 121.593 * * [simplify]: Extracting #5: cost 63 inf + 25598 121.603 * * [simplify]: Extracting #6: cost 21 inf + 52792 121.618 * * [simplify]: Extracting #7: cost 3 inf + 65935 121.633 * * [simplify]: Extracting #8: cost 0 inf + 68449 121.649 * [simplify]: Simplified to (* (pow k -1/2) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 121.649 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow k -1/2) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 121.649 * * * * [progress]: [ 100 / 112 ] simplifiying candidate # 121.650 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2)) 121.650 * * [simplify]: iters left: 6 (14 enodes) 121.660 * * [simplify]: iters left: 5 (65 enodes) 121.684 * * [simplify]: iters left: 4 (125 enodes) 121.736 * * [simplify]: iters left: 3 (257 enodes) 121.859 * * [simplify]: Extracting #0: cost 1 inf + 0 121.860 * * [simplify]: Extracting #1: cost 32 inf + 0 121.860 * * [simplify]: Extracting #2: cost 113 inf + 0 121.860 * * [simplify]: Extracting #3: cost 145 inf + 218 121.861 * * [simplify]: Extracting #4: cost 132 inf + 3896 121.864 * * [simplify]: Extracting #5: cost 66 inf + 29275 121.871 * * [simplify]: Extracting #6: cost 16 inf + 56073 121.879 * * [simplify]: Extracting #7: cost 0 inf + 69169 121.887 * [simplify]: Simplified to (* (pow k -1/2) (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) 121.888 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow k -1/2) (pow (* (* PI 2) n) (- 1/4 (/ k 4)))))) 121.888 * * * * [progress]: [ 101 / 112 ] simplifiying candidate # 121.888 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (pow k -1/2)) 121.888 * * [simplify]: iters left: 6 (12 enodes) 121.894 * * [simplify]: iters left: 5 (52 enodes) 121.914 * * [simplify]: iters left: 4 (104 enodes) 121.963 * * [simplify]: iters left: 3 (223 enodes) 122.039 * * [simplify]: Extracting #0: cost 1 inf + 0 122.039 * * [simplify]: Extracting #1: cost 31 inf + 0 122.040 * * [simplify]: Extracting #2: cost 110 inf + 0 122.040 * * [simplify]: Extracting #3: cost 109 inf + 10 122.041 * * [simplify]: Extracting #4: cost 91 inf + 4017 122.043 * * [simplify]: Extracting #5: cost 39 inf + 27509 122.048 * * [simplify]: Extracting #6: cost 1 inf + 53867 122.058 * * [simplify]: Extracting #7: cost 0 inf + 54664 122.068 * [simplify]: Simplified to (* (sqrt (* (* PI 2) n)) (pow k -1/2)) 122.068 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow k -1/2)) (pow (* n (* 2 PI)) (/ k 2)))) 122.068 * * * * [progress]: [ 102 / 112 ] simplifiying candidate #real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))> 122.069 * [simplify]: Simplifying (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 122.069 * * [simplify]: iters left: 6 (14 enodes) 122.077 * * [simplify]: iters left: 5 (59 enodes) 122.103 * * [simplify]: iters left: 4 (116 enodes) 122.140 * * [simplify]: iters left: 3 (230 enodes) 122.224 * * [simplify]: Extracting #0: cost 1 inf + 0 122.224 * * [simplify]: Extracting #1: cost 2 inf + 0 122.224 * * [simplify]: Extracting #2: cost 32 inf + 0 122.225 * * [simplify]: Extracting #3: cost 114 inf + 0 122.225 * * [simplify]: Extracting #4: cost 141 inf + 218 122.226 * * [simplify]: Extracting #5: cost 114 inf + 6582 122.228 * * [simplify]: Extracting #6: cost 69 inf + 22472 122.234 * * [simplify]: Extracting #7: cost 11 inf + 60200 122.242 * * [simplify]: Extracting #8: cost 0 inf + 69108 122.250 * [simplify]: Simplified to (real->posit16 (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 122.250 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 122.250 * * * * [progress]: [ 103 / 112 ] simplifiying candidate # 122.250 * * * * [progress]: [ 104 / 112 ] simplifiying candidate # 122.250 * [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))))) 122.251 * * [simplify]: iters left: 6 (37 enodes) 122.272 * * [simplify]: iters left: 5 (187 enodes) 122.331 * * [simplify]: iters left: 4 (488 enodes) 122.546 * * [simplify]: Extracting #0: cost 1 inf + 0 122.546 * * [simplify]: Extracting #1: cost 57 inf + 0 122.547 * * [simplify]: Extracting #2: cost 293 inf + 0 122.549 * * [simplify]: Extracting #3: cost 528 inf + 199 122.551 * * [simplify]: Extracting #4: cost 520 inf + 5092 122.567 * * [simplify]: Extracting #5: cost 310 inf + 80654 122.627 * * [simplify]: Extracting #6: cost 37 inf + 224929 122.699 * * [simplify]: Extracting #7: cost 0 inf + 247296 122.797 * * [simplify]: Extracting #8: cost 0 inf + 245223 122.904 * * [simplify]: Extracting #9: cost 0 inf + 245182 123.010 * [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)))))))) 123.010 * [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)))))))) (pow k -1/2))) 123.011 * * * * [progress]: [ 105 / 112 ] simplifiying candidate # 123.011 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 123.011 * * [simplify]: iters left: 6 (15 enodes) 123.021 * * [simplify]: iters left: 5 (65 enodes) 123.043 * * [simplify]: iters left: 4 (123 enodes) 123.072 * * [simplify]: iters left: 3 (362 enodes) 123.235 * * [simplify]: Extracting #0: cost 1 inf + 0 123.235 * * [simplify]: Extracting #1: cost 36 inf + 0 123.236 * * [simplify]: Extracting #2: cost 211 inf + 1 123.237 * * [simplify]: Extracting #3: cost 352 inf + 1140 123.244 * * [simplify]: Extracting #4: cost 240 inf + 23280 123.258 * * [simplify]: Extracting #5: cost 34 inf + 77101 123.287 * * [simplify]: Extracting #6: cost 1 inf + 87428 123.317 * * [simplify]: Extracting #7: cost 0 inf + 88076 123.349 * * [simplify]: Extracting #8: cost 0 inf + 87995 123.381 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 123.381 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (pow k -1/2))) 123.381 * * * * [progress]: [ 106 / 112 ] simplifiying candidate # 123.381 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 123.382 * * [simplify]: iters left: 6 (16 enodes) 123.392 * * [simplify]: iters left: 5 (67 enodes) 123.417 * * [simplify]: iters left: 4 (134 enodes) 123.468 * * [simplify]: iters left: 3 (407 enodes) 123.646 * * [simplify]: Extracting #0: cost 1 inf + 0 123.647 * * [simplify]: Extracting #1: cost 38 inf + 0 123.647 * * [simplify]: Extracting #2: cost 238 inf + 72 123.649 * * [simplify]: Extracting #3: cost 449 inf + 680 123.657 * * [simplify]: Extracting #4: cost 307 inf + 33836 123.694 * * [simplify]: Extracting #5: cost 52 inf + 105891 123.724 * * [simplify]: Extracting #6: cost 1 inf + 120745 123.753 * * [simplify]: Extracting #7: cost 0 inf + 120798 123.775 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 123.775 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (pow k -1/2))) 123.775 * * * * [progress]: [ 107 / 112 ] simplifiying candidate # 123.775 * [simplify]: Simplifying (* 2 (* n PI)) 123.775 * * [simplify]: iters left: 4 (5 enodes) 123.777 * * [simplify]: iters left: 3 (19 enodes) 123.783 * * [simplify]: iters left: 2 (27 enodes) 123.791 * * [simplify]: iters left: 1 (32 enodes) 123.797 * * [simplify]: Extracting #0: cost 1 inf + 0 123.797 * * [simplify]: Extracting #1: cost 8 inf + 0 123.797 * * [simplify]: Extracting #2: cost 7 inf + 45 123.797 * * [simplify]: Extracting #3: cost 0 inf + 421 123.798 * [simplify]: Simplified to (* (* PI n) 2) 123.798 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))) 123.798 * * * * [progress]: [ 108 / 112 ] simplifiying candidate # 123.798 * [simplify]: Simplifying (* 2 (* n PI)) 123.798 * * [simplify]: iters left: 4 (5 enodes) 123.799 * * [simplify]: iters left: 3 (19 enodes) 123.802 * * [simplify]: iters left: 2 (27 enodes) 123.806 * * [simplify]: iters left: 1 (32 enodes) 123.810 * * [simplify]: Extracting #0: cost 1 inf + 0 123.810 * * [simplify]: Extracting #1: cost 8 inf + 0 123.810 * * [simplify]: Extracting #2: cost 7 inf + 45 123.810 * * [simplify]: Extracting #3: cost 0 inf + 421 123.810 * [simplify]: Simplified to (* (* PI n) 2) 123.810 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))) 123.811 * * * * [progress]: [ 109 / 112 ] simplifiying candidate # 123.811 * [simplify]: Simplifying (* 2 (* n PI)) 123.811 * * [simplify]: iters left: 4 (5 enodes) 123.812 * * [simplify]: iters left: 3 (19 enodes) 123.815 * * [simplify]: iters left: 2 (27 enodes) 123.819 * * [simplify]: iters left: 1 (32 enodes) 123.823 * * [simplify]: Extracting #0: cost 1 inf + 0 123.823 * * [simplify]: Extracting #1: cost 8 inf + 0 123.823 * * [simplify]: Extracting #2: cost 7 inf + 45 123.823 * * [simplify]: Extracting #3: cost 0 inf + 421 123.824 * [simplify]: Simplified to (* (* PI n) 2) 123.824 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))) 123.824 * * * * [progress]: [ 110 / 112 ] simplifiying candidate # 123.824 * [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)))))))))))))))))))))) 123.824 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 123.825 * * * * [progress]: [ 111 / 112 ] simplifiying candidate # 123.825 * [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)))))))) 123.825 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 123.826 * * * * [progress]: [ 112 / 112 ] simplifiying candidate # 123.826 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +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)))))) k))))))) 123.826 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 123.826 * * * [progress]: adding candidates to table 125.078 * * [progress]: iteration 4 / 4 125.078 * * * [progress]: picking best candidate 125.103 * * * * [pick]: Picked # 125.103 * * * [progress]: localizing error 125.135 * * * [progress]: generating rewritten candidates 125.135 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 125.155 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 125.172 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 125.184 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 125.227 * * * [progress]: generating series expansions 125.227 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 125.228 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 125.228 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 125.228 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 125.228 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 125.228 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 125.228 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 125.228 * [taylor]: Taking taylor expansion of 1/2 in k 125.229 * [backup-simplify]: Simplify 1/2 into 1/2 125.229 * [taylor]: Taking taylor expansion of (- 1 k) in k 125.229 * [taylor]: Taking taylor expansion of 1 in k 125.229 * [backup-simplify]: Simplify 1 into 1 125.229 * [taylor]: Taking taylor expansion of k in k 125.229 * [backup-simplify]: Simplify 0 into 0 125.229 * [backup-simplify]: Simplify 1 into 1 125.229 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 125.229 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 125.229 * [taylor]: Taking taylor expansion of 2 in k 125.229 * [backup-simplify]: Simplify 2 into 2 125.229 * [taylor]: Taking taylor expansion of (* n PI) in k 125.229 * [taylor]: Taking taylor expansion of n in k 125.229 * [backup-simplify]: Simplify n into n 125.229 * [taylor]: Taking taylor expansion of PI in k 125.229 * [backup-simplify]: Simplify PI into PI 125.229 * [backup-simplify]: Simplify (* n PI) into (* n PI) 125.229 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 125.229 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 125.229 * [backup-simplify]: Simplify (- 0) into 0 125.230 * [backup-simplify]: Simplify (+ 1 0) into 1 125.230 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 125.231 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 125.231 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 125.231 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 125.231 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 125.231 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 125.231 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 125.231 * [taylor]: Taking taylor expansion of 1/2 in n 125.231 * [backup-simplify]: Simplify 1/2 into 1/2 125.231 * [taylor]: Taking taylor expansion of (- 1 k) in n 125.231 * [taylor]: Taking taylor expansion of 1 in n 125.231 * [backup-simplify]: Simplify 1 into 1 125.231 * [taylor]: Taking taylor expansion of k in n 125.231 * [backup-simplify]: Simplify k into k 125.231 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 125.231 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 125.231 * [taylor]: Taking taylor expansion of 2 in n 125.231 * [backup-simplify]: Simplify 2 into 2 125.231 * [taylor]: Taking taylor expansion of (* n PI) in n 125.231 * [taylor]: Taking taylor expansion of n in n 125.231 * [backup-simplify]: Simplify 0 into 0 125.231 * [backup-simplify]: Simplify 1 into 1 125.231 * [taylor]: Taking taylor expansion of PI in n 125.231 * [backup-simplify]: Simplify PI into PI 125.232 * [backup-simplify]: Simplify (* 0 PI) into 0 125.232 * [backup-simplify]: Simplify (* 2 0) into 0 125.234 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 125.235 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 125.236 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 125.236 * [backup-simplify]: Simplify (- k) into (- k) 125.236 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 125.236 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 125.238 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 125.239 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 125.240 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 125.240 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 125.240 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 125.240 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 125.240 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 125.240 * [taylor]: Taking taylor expansion of 1/2 in n 125.240 * [backup-simplify]: Simplify 1/2 into 1/2 125.240 * [taylor]: Taking taylor expansion of (- 1 k) in n 125.240 * [taylor]: Taking taylor expansion of 1 in n 125.240 * [backup-simplify]: Simplify 1 into 1 125.240 * [taylor]: Taking taylor expansion of k in n 125.240 * [backup-simplify]: Simplify k into k 125.240 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 125.240 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 125.240 * [taylor]: Taking taylor expansion of 2 in n 125.240 * [backup-simplify]: Simplify 2 into 2 125.240 * [taylor]: Taking taylor expansion of (* n PI) in n 125.240 * [taylor]: Taking taylor expansion of n in n 125.240 * [backup-simplify]: Simplify 0 into 0 125.240 * [backup-simplify]: Simplify 1 into 1 125.240 * [taylor]: Taking taylor expansion of PI in n 125.240 * [backup-simplify]: Simplify PI into PI 125.241 * [backup-simplify]: Simplify (* 0 PI) into 0 125.241 * [backup-simplify]: Simplify (* 2 0) into 0 125.243 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 125.244 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 125.245 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 125.245 * [backup-simplify]: Simplify (- k) into (- k) 125.245 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 125.245 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 125.247 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 125.248 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 125.249 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 125.249 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 125.249 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 125.249 * [taylor]: Taking taylor expansion of 1/2 in k 125.249 * [backup-simplify]: Simplify 1/2 into 1/2 125.249 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 125.249 * [taylor]: Taking taylor expansion of (- 1 k) in k 125.249 * [taylor]: Taking taylor expansion of 1 in k 125.249 * [backup-simplify]: Simplify 1 into 1 125.249 * [taylor]: Taking taylor expansion of k in k 125.249 * [backup-simplify]: Simplify 0 into 0 125.249 * [backup-simplify]: Simplify 1 into 1 125.249 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 125.249 * [taylor]: Taking taylor expansion of (log n) in k 125.249 * [taylor]: Taking taylor expansion of n in k 125.249 * [backup-simplify]: Simplify n into n 125.249 * [backup-simplify]: Simplify (log n) into (log n) 125.249 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 125.249 * [taylor]: Taking taylor expansion of (* 2 PI) in k 125.250 * [taylor]: Taking taylor expansion of 2 in k 125.250 * [backup-simplify]: Simplify 2 into 2 125.250 * [taylor]: Taking taylor expansion of PI in k 125.250 * [backup-simplify]: Simplify PI into PI 125.250 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 125.251 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 125.251 * [backup-simplify]: Simplify (- 0) into 0 125.252 * [backup-simplify]: Simplify (+ 1 0) into 1 125.253 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 125.255 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 125.256 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 125.257 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 125.258 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 125.259 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 125.260 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 125.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 125.262 * [backup-simplify]: Simplify (- 0) into 0 125.263 * [backup-simplify]: Simplify (+ 0 0) into 0 125.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 125.265 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 125.266 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 125.268 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 125.268 * [taylor]: Taking taylor expansion of 0 in k 125.268 * [backup-simplify]: Simplify 0 into 0 125.268 * [backup-simplify]: Simplify 0 into 0 125.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 125.269 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 125.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 125.271 * [backup-simplify]: Simplify (+ 0 0) into 0 125.272 * [backup-simplify]: Simplify (- 1) into -1 125.272 * [backup-simplify]: Simplify (+ 0 -1) into -1 125.274 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 125.276 * [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))))) 125.283 * [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))))))) 125.286 * [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))))))) 125.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 125.289 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 125.292 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 125.293 * [backup-simplify]: Simplify (- 0) into 0 125.293 * [backup-simplify]: Simplify (+ 0 0) into 0 125.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 125.296 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 125.297 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 125.300 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 125.300 * [taylor]: Taking taylor expansion of 0 in k 125.300 * [backup-simplify]: Simplify 0 into 0 125.300 * [backup-simplify]: Simplify 0 into 0 125.300 * [backup-simplify]: Simplify 0 into 0 125.302 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 125.303 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 125.306 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 125.306 * [backup-simplify]: Simplify (+ 0 0) into 0 125.307 * [backup-simplify]: Simplify (- 0) into 0 125.307 * [backup-simplify]: Simplify (+ 0 0) into 0 125.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 125.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 125.316 * [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))))) 125.320 * [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))))) 125.330 * [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))))) 125.330 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 125.330 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 125.330 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 125.330 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 125.330 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 125.331 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 125.331 * [taylor]: Taking taylor expansion of 1/2 in k 125.331 * [backup-simplify]: Simplify 1/2 into 1/2 125.331 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 125.331 * [taylor]: Taking taylor expansion of 1 in k 125.331 * [backup-simplify]: Simplify 1 into 1 125.331 * [taylor]: Taking taylor expansion of (/ 1 k) in k 125.331 * [taylor]: Taking taylor expansion of k in k 125.331 * [backup-simplify]: Simplify 0 into 0 125.331 * [backup-simplify]: Simplify 1 into 1 125.331 * [backup-simplify]: Simplify (/ 1 1) into 1 125.331 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 125.331 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 125.331 * [taylor]: Taking taylor expansion of 2 in k 125.331 * [backup-simplify]: Simplify 2 into 2 125.331 * [taylor]: Taking taylor expansion of (/ PI n) in k 125.331 * [taylor]: Taking taylor expansion of PI in k 125.331 * [backup-simplify]: Simplify PI into PI 125.331 * [taylor]: Taking taylor expansion of n in k 125.331 * [backup-simplify]: Simplify n into n 125.331 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 125.331 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 125.332 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 125.332 * [backup-simplify]: Simplify (- 1) into -1 125.332 * [backup-simplify]: Simplify (+ 0 -1) into -1 125.333 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 125.333 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 125.333 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 125.333 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 125.333 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 125.333 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 125.333 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 125.333 * [taylor]: Taking taylor expansion of 1/2 in n 125.333 * [backup-simplify]: Simplify 1/2 into 1/2 125.333 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 125.333 * [taylor]: Taking taylor expansion of 1 in n 125.333 * [backup-simplify]: Simplify 1 into 1 125.333 * [taylor]: Taking taylor expansion of (/ 1 k) in n 125.333 * [taylor]: Taking taylor expansion of k in n 125.333 * [backup-simplify]: Simplify k into k 125.333 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 125.333 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 125.334 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 125.334 * [taylor]: Taking taylor expansion of 2 in n 125.334 * [backup-simplify]: Simplify 2 into 2 125.334 * [taylor]: Taking taylor expansion of (/ PI n) in n 125.334 * [taylor]: Taking taylor expansion of PI in n 125.334 * [backup-simplify]: Simplify PI into PI 125.334 * [taylor]: Taking taylor expansion of n in n 125.334 * [backup-simplify]: Simplify 0 into 0 125.334 * [backup-simplify]: Simplify 1 into 1 125.334 * [backup-simplify]: Simplify (/ PI 1) into PI 125.335 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 125.335 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 125.335 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 125.336 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 125.336 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 125.336 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 125.337 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 125.338 * [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))))) 125.338 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 125.338 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 125.338 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 125.338 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 125.338 * [taylor]: Taking taylor expansion of 1/2 in n 125.338 * [backup-simplify]: Simplify 1/2 into 1/2 125.338 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 125.338 * [taylor]: Taking taylor expansion of 1 in n 125.338 * [backup-simplify]: Simplify 1 into 1 125.338 * [taylor]: Taking taylor expansion of (/ 1 k) in n 125.338 * [taylor]: Taking taylor expansion of k in n 125.338 * [backup-simplify]: Simplify k into k 125.338 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 125.338 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 125.338 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 125.338 * [taylor]: Taking taylor expansion of 2 in n 125.338 * [backup-simplify]: Simplify 2 into 2 125.338 * [taylor]: Taking taylor expansion of (/ PI n) in n 125.338 * [taylor]: Taking taylor expansion of PI in n 125.338 * [backup-simplify]: Simplify PI into PI 125.338 * [taylor]: Taking taylor expansion of n in n 125.338 * [backup-simplify]: Simplify 0 into 0 125.338 * [backup-simplify]: Simplify 1 into 1 125.338 * [backup-simplify]: Simplify (/ PI 1) into PI 125.339 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 125.339 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 125.339 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 125.339 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 125.340 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 125.340 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 125.341 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 125.342 * [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))))) 125.342 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 125.342 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 125.342 * [taylor]: Taking taylor expansion of 1/2 in k 125.342 * [backup-simplify]: Simplify 1/2 into 1/2 125.342 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 125.342 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 125.342 * [taylor]: Taking taylor expansion of 1 in k 125.342 * [backup-simplify]: Simplify 1 into 1 125.342 * [taylor]: Taking taylor expansion of (/ 1 k) in k 125.342 * [taylor]: Taking taylor expansion of k in k 125.342 * [backup-simplify]: Simplify 0 into 0 125.342 * [backup-simplify]: Simplify 1 into 1 125.342 * [backup-simplify]: Simplify (/ 1 1) into 1 125.342 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 125.342 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 125.342 * [taylor]: Taking taylor expansion of (* 2 PI) in k 125.342 * [taylor]: Taking taylor expansion of 2 in k 125.342 * [backup-simplify]: Simplify 2 into 2 125.342 * [taylor]: Taking taylor expansion of PI in k 125.342 * [backup-simplify]: Simplify PI into PI 125.343 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 125.343 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 125.343 * [taylor]: Taking taylor expansion of (log n) in k 125.343 * [taylor]: Taking taylor expansion of n in k 125.343 * [backup-simplify]: Simplify n into n 125.343 * [backup-simplify]: Simplify (log n) into (log n) 125.344 * [backup-simplify]: Simplify (- 1) into -1 125.344 * [backup-simplify]: Simplify (+ 0 -1) into -1 125.344 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 125.344 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 125.345 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 125.346 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 125.346 * [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))))) 125.347 * [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))))) 125.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 125.348 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 125.349 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 125.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 125.349 * [backup-simplify]: Simplify (- 0) into 0 125.350 * [backup-simplify]: Simplify (+ 0 0) into 0 125.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 125.351 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 125.351 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 125.353 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 125.353 * [taylor]: Taking taylor expansion of 0 in k 125.353 * [backup-simplify]: Simplify 0 into 0 125.353 * [backup-simplify]: Simplify 0 into 0 125.353 * [backup-simplify]: Simplify 0 into 0 125.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 125.354 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 125.356 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 125.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 125.356 * [backup-simplify]: Simplify (- 0) into 0 125.356 * [backup-simplify]: Simplify (+ 0 0) into 0 125.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 125.358 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 125.359 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 125.360 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 125.360 * [taylor]: Taking taylor expansion of 0 in k 125.360 * [backup-simplify]: Simplify 0 into 0 125.360 * [backup-simplify]: Simplify 0 into 0 125.360 * [backup-simplify]: Simplify 0 into 0 125.360 * [backup-simplify]: Simplify 0 into 0 125.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 125.362 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 125.365 * [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 0 125.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 125.365 * [backup-simplify]: Simplify (- 0) into 0 125.366 * [backup-simplify]: Simplify (+ 0 0) into 0 125.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 125.367 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 125.369 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 125.370 * [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 0 125.371 * [taylor]: Taking taylor expansion of 0 in k 125.371 * [backup-simplify]: Simplify 0 into 0 125.371 * [backup-simplify]: Simplify 0 into 0 125.371 * [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)))))) 125.372 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 125.372 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 125.372 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 125.372 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 125.372 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 125.372 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 125.372 * [taylor]: Taking taylor expansion of 1/2 in k 125.372 * [backup-simplify]: Simplify 1/2 into 1/2 125.372 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 125.372 * [taylor]: Taking taylor expansion of (/ 1 k) in k 125.372 * [taylor]: Taking taylor expansion of k in k 125.372 * [backup-simplify]: Simplify 0 into 0 125.372 * [backup-simplify]: Simplify 1 into 1 125.373 * [backup-simplify]: Simplify (/ 1 1) into 1 125.373 * [taylor]: Taking taylor expansion of 1 in k 125.373 * [backup-simplify]: Simplify 1 into 1 125.373 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 125.373 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 125.373 * [taylor]: Taking taylor expansion of -2 in k 125.373 * [backup-simplify]: Simplify -2 into -2 125.373 * [taylor]: Taking taylor expansion of (/ PI n) in k 125.373 * [taylor]: Taking taylor expansion of PI in k 125.373 * [backup-simplify]: Simplify PI into PI 125.373 * [taylor]: Taking taylor expansion of n in k 125.373 * [backup-simplify]: Simplify n into n 125.373 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 125.373 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 125.373 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 125.374 * [backup-simplify]: Simplify (+ 1 0) into 1 125.374 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 125.374 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 125.374 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 125.374 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 125.374 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 125.374 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 125.375 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 125.375 * [taylor]: Taking taylor expansion of 1/2 in n 125.375 * [backup-simplify]: Simplify 1/2 into 1/2 125.375 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 125.375 * [taylor]: Taking taylor expansion of (/ 1 k) in n 125.375 * [taylor]: Taking taylor expansion of k in n 125.375 * [backup-simplify]: Simplify k into k 125.375 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 125.375 * [taylor]: Taking taylor expansion of 1 in n 125.375 * [backup-simplify]: Simplify 1 into 1 125.375 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 125.375 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 125.375 * [taylor]: Taking taylor expansion of -2 in n 125.375 * [backup-simplify]: Simplify -2 into -2 125.375 * [taylor]: Taking taylor expansion of (/ PI n) in n 125.375 * [taylor]: Taking taylor expansion of PI in n 125.375 * [backup-simplify]: Simplify PI into PI 125.375 * [taylor]: Taking taylor expansion of n in n 125.375 * [backup-simplify]: Simplify 0 into 0 125.375 * [backup-simplify]: Simplify 1 into 1 125.376 * [backup-simplify]: Simplify (/ PI 1) into PI 125.376 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 125.377 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 125.377 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 125.377 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 125.379 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 125.380 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 125.380 * [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))))) 125.380 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 125.380 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 125.380 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 125.380 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 125.380 * [taylor]: Taking taylor expansion of 1/2 in n 125.380 * [backup-simplify]: Simplify 1/2 into 1/2 125.381 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 125.381 * [taylor]: Taking taylor expansion of (/ 1 k) in n 125.381 * [taylor]: Taking taylor expansion of k in n 125.381 * [backup-simplify]: Simplify k into k 125.381 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 125.381 * [taylor]: Taking taylor expansion of 1 in n 125.381 * [backup-simplify]: Simplify 1 into 1 125.381 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 125.381 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 125.381 * [taylor]: Taking taylor expansion of -2 in n 125.381 * [backup-simplify]: Simplify -2 into -2 125.381 * [taylor]: Taking taylor expansion of (/ PI n) in n 125.381 * [taylor]: Taking taylor expansion of PI in n 125.381 * [backup-simplify]: Simplify PI into PI 125.381 * [taylor]: Taking taylor expansion of n in n 125.381 * [backup-simplify]: Simplify 0 into 0 125.381 * [backup-simplify]: Simplify 1 into 1 125.381 * [backup-simplify]: Simplify (/ PI 1) into PI 125.381 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 125.382 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 125.382 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 125.382 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 125.383 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 125.384 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 125.384 * [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))))) 125.384 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 125.384 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 125.384 * [taylor]: Taking taylor expansion of 1/2 in k 125.384 * [backup-simplify]: Simplify 1/2 into 1/2 125.384 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 125.384 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 125.384 * [taylor]: Taking taylor expansion of (/ 1 k) in k 125.385 * [taylor]: Taking taylor expansion of k in k 125.385 * [backup-simplify]: Simplify 0 into 0 125.385 * [backup-simplify]: Simplify 1 into 1 125.385 * [backup-simplify]: Simplify (/ 1 1) into 1 125.385 * [taylor]: Taking taylor expansion of 1 in k 125.385 * [backup-simplify]: Simplify 1 into 1 125.385 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 125.385 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 125.385 * [taylor]: Taking taylor expansion of (* -2 PI) in k 125.385 * [taylor]: Taking taylor expansion of -2 in k 125.385 * [backup-simplify]: Simplify -2 into -2 125.385 * [taylor]: Taking taylor expansion of PI in k 125.385 * [backup-simplify]: Simplify PI into PI 125.385 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 125.386 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 125.386 * [taylor]: Taking taylor expansion of (log n) in k 125.386 * [taylor]: Taking taylor expansion of n in k 125.386 * [backup-simplify]: Simplify n into n 125.386 * [backup-simplify]: Simplify (log n) into (log n) 125.386 * [backup-simplify]: Simplify (+ 1 0) into 1 125.386 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 125.387 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 125.387 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 125.388 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 125.389 * [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))))) 125.389 * [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))))) 125.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 125.390 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 125.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 125.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 125.392 * [backup-simplify]: Simplify (+ 0 0) into 0 125.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 125.394 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 125.395 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 125.396 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 125.396 * [taylor]: Taking taylor expansion of 0 in k 125.396 * [backup-simplify]: Simplify 0 into 0 125.396 * [backup-simplify]: Simplify 0 into 0 125.396 * [backup-simplify]: Simplify 0 into 0 125.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 125.398 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 125.399 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 125.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 125.400 * [backup-simplify]: Simplify (+ 0 0) into 0 125.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 125.401 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 125.402 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 125.404 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 125.404 * [taylor]: Taking taylor expansion of 0 in k 125.404 * [backup-simplify]: Simplify 0 into 0 125.404 * [backup-simplify]: Simplify 0 into 0 125.404 * [backup-simplify]: Simplify 0 into 0 125.404 * [backup-simplify]: Simplify 0 into 0 125.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 125.405 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 125.408 * [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 0 125.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 125.409 * [backup-simplify]: Simplify (+ 0 0) into 0 125.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 125.411 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 125.412 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 125.413 * [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 0 125.413 * [taylor]: Taking taylor expansion of 0 in k 125.413 * [backup-simplify]: Simplify 0 into 0 125.413 * [backup-simplify]: Simplify 0 into 0 125.414 * [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)))))) 125.414 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 125.415 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 125.415 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 125.415 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 125.415 * [taylor]: Taking taylor expansion of 2 in n 125.415 * [backup-simplify]: Simplify 2 into 2 125.415 * [taylor]: Taking taylor expansion of (* n PI) in n 125.415 * [taylor]: Taking taylor expansion of n in n 125.415 * [backup-simplify]: Simplify 0 into 0 125.415 * [backup-simplify]: Simplify 1 into 1 125.415 * [taylor]: Taking taylor expansion of PI in n 125.415 * [backup-simplify]: Simplify PI into PI 125.415 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 125.415 * [taylor]: Taking taylor expansion of 2 in n 125.415 * [backup-simplify]: Simplify 2 into 2 125.415 * [taylor]: Taking taylor expansion of (* n PI) in n 125.415 * [taylor]: Taking taylor expansion of n in n 125.415 * [backup-simplify]: Simplify 0 into 0 125.415 * [backup-simplify]: Simplify 1 into 1 125.415 * [taylor]: Taking taylor expansion of PI in n 125.415 * [backup-simplify]: Simplify PI into PI 125.415 * [backup-simplify]: Simplify (* 0 PI) into 0 125.415 * [backup-simplify]: Simplify (* 2 0) into 0 125.415 * [backup-simplify]: Simplify 0 into 0 125.416 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 125.417 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 125.418 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 125.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 125.419 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 125.419 * [backup-simplify]: Simplify 0 into 0 125.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 125.420 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 125.420 * [backup-simplify]: Simplify 0 into 0 125.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 125.422 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 125.422 * [backup-simplify]: Simplify 0 into 0 125.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 125.424 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 125.424 * [backup-simplify]: Simplify 0 into 0 125.426 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 125.427 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 125.427 * [backup-simplify]: Simplify 0 into 0 125.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 125.431 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 125.431 * [backup-simplify]: Simplify 0 into 0 125.431 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 125.432 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 125.432 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 125.432 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 125.432 * [taylor]: Taking taylor expansion of 2 in n 125.432 * [backup-simplify]: Simplify 2 into 2 125.432 * [taylor]: Taking taylor expansion of (/ PI n) in n 125.432 * [taylor]: Taking taylor expansion of PI in n 125.432 * [backup-simplify]: Simplify PI into PI 125.432 * [taylor]: Taking taylor expansion of n in n 125.432 * [backup-simplify]: Simplify 0 into 0 125.432 * [backup-simplify]: Simplify 1 into 1 125.433 * [backup-simplify]: Simplify (/ PI 1) into PI 125.433 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 125.433 * [taylor]: Taking taylor expansion of 2 in n 125.433 * [backup-simplify]: Simplify 2 into 2 125.433 * [taylor]: Taking taylor expansion of (/ PI n) in n 125.433 * [taylor]: Taking taylor expansion of PI in n 125.433 * [backup-simplify]: Simplify PI into PI 125.433 * [taylor]: Taking taylor expansion of n in n 125.433 * [backup-simplify]: Simplify 0 into 0 125.433 * [backup-simplify]: Simplify 1 into 1 125.433 * [backup-simplify]: Simplify (/ PI 1) into PI 125.434 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 125.434 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 125.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 125.436 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 125.436 * [backup-simplify]: Simplify 0 into 0 125.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 125.438 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 125.438 * [backup-simplify]: Simplify 0 into 0 125.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 125.441 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 125.441 * [backup-simplify]: Simplify 0 into 0 125.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 125.443 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 125.443 * [backup-simplify]: Simplify 0 into 0 125.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 125.445 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 125.446 * [backup-simplify]: Simplify 0 into 0 125.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 125.448 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 125.448 * [backup-simplify]: Simplify 0 into 0 125.448 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 125.448 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 125.449 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 125.449 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 125.449 * [taylor]: Taking taylor expansion of -2 in n 125.449 * [backup-simplify]: Simplify -2 into -2 125.449 * [taylor]: Taking taylor expansion of (/ PI n) in n 125.449 * [taylor]: Taking taylor expansion of PI in n 125.449 * [backup-simplify]: Simplify PI into PI 125.449 * [taylor]: Taking taylor expansion of n in n 125.449 * [backup-simplify]: Simplify 0 into 0 125.449 * [backup-simplify]: Simplify 1 into 1 125.449 * [backup-simplify]: Simplify (/ PI 1) into PI 125.449 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 125.449 * [taylor]: Taking taylor expansion of -2 in n 125.449 * [backup-simplify]: Simplify -2 into -2 125.449 * [taylor]: Taking taylor expansion of (/ PI n) in n 125.449 * [taylor]: Taking taylor expansion of PI in n 125.449 * [backup-simplify]: Simplify PI into PI 125.449 * [taylor]: Taking taylor expansion of n in n 125.449 * [backup-simplify]: Simplify 0 into 0 125.449 * [backup-simplify]: Simplify 1 into 1 125.449 * [backup-simplify]: Simplify (/ PI 1) into PI 125.450 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 125.450 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 125.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 125.451 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 125.451 * [backup-simplify]: Simplify 0 into 0 125.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 125.452 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 125.452 * [backup-simplify]: Simplify 0 into 0 125.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 125.453 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 125.453 * [backup-simplify]: Simplify 0 into 0 125.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 125.455 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 125.455 * [backup-simplify]: Simplify 0 into 0 125.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 125.456 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 125.456 * [backup-simplify]: Simplify 0 into 0 125.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 125.458 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 125.458 * [backup-simplify]: Simplify 0 into 0 125.458 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 125.458 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 125.459 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) into (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) 125.459 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in (k n) around 0 125.459 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in n 125.459 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 125.459 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 125.459 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 125.459 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 125.459 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 125.459 * [taylor]: Taking taylor expansion of 1/2 in n 125.459 * [backup-simplify]: Simplify 1/2 into 1/2 125.459 * [taylor]: Taking taylor expansion of (- 1 k) in n 125.459 * [taylor]: Taking taylor expansion of 1 in n 125.459 * [backup-simplify]: Simplify 1 into 1 125.459 * [taylor]: Taking taylor expansion of k in n 125.459 * [backup-simplify]: Simplify k into k 125.459 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 125.459 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 125.459 * [taylor]: Taking taylor expansion of 2 in n 125.459 * [backup-simplify]: Simplify 2 into 2 125.459 * [taylor]: Taking taylor expansion of (* n PI) in n 125.459 * [taylor]: Taking taylor expansion of n in n 125.459 * [backup-simplify]: Simplify 0 into 0 125.459 * [backup-simplify]: Simplify 1 into 1 125.459 * [taylor]: Taking taylor expansion of PI in n 125.459 * [backup-simplify]: Simplify PI into PI 125.459 * [backup-simplify]: Simplify (* 0 PI) into 0 125.459 * [backup-simplify]: Simplify (* 2 0) into 0 125.460 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 125.461 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 125.462 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 125.462 * [backup-simplify]: Simplify (- k) into (- k) 125.462 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 125.462 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 125.463 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 125.463 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 125.464 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 125.465 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) into (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) 125.465 * [taylor]: Taking taylor expansion of (sqrt k) in n 125.465 * [taylor]: Taking taylor expansion of k in n 125.465 * [backup-simplify]: Simplify k into k 125.465 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 125.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 125.465 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k 125.465 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 125.465 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 125.465 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 125.465 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 125.465 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 125.465 * [taylor]: Taking taylor expansion of 1/2 in k 125.465 * [backup-simplify]: Simplify 1/2 into 1/2 125.465 * [taylor]: Taking taylor expansion of (- 1 k) in k 125.465 * [taylor]: Taking taylor expansion of 1 in k 125.465 * [backup-simplify]: Simplify 1 into 1 125.465 * [taylor]: Taking taylor expansion of k in k 125.465 * [backup-simplify]: Simplify 0 into 0 125.465 * [backup-simplify]: Simplify 1 into 1 125.465 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 125.465 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 125.465 * [taylor]: Taking taylor expansion of 2 in k 125.465 * [backup-simplify]: Simplify 2 into 2 125.465 * [taylor]: Taking taylor expansion of (* n PI) in k 125.465 * [taylor]: Taking taylor expansion of n in k 125.465 * [backup-simplify]: Simplify n into n 125.465 * [taylor]: Taking taylor expansion of PI in k 125.465 * [backup-simplify]: Simplify PI into PI 125.465 * [backup-simplify]: Simplify (* n PI) into (* n PI) 125.465 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 125.465 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 125.466 * [backup-simplify]: Simplify (- 0) into 0 125.466 * [backup-simplify]: Simplify (+ 1 0) into 1 125.466 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 125.466 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 125.466 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 125.466 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 125.466 * [taylor]: Taking taylor expansion of (sqrt k) in k 125.466 * [taylor]: Taking taylor expansion of k in k 125.466 * [backup-simplify]: Simplify 0 into 0 125.466 * [backup-simplify]: Simplify 1 into 1 125.467 * [backup-simplify]: Simplify (sqrt 0) into 0 125.468 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 125.468 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k 125.468 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 125.468 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 125.468 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 125.468 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 125.468 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 125.468 * [taylor]: Taking taylor expansion of 1/2 in k 125.468 * [backup-simplify]: Simplify 1/2 into 1/2 125.468 * [taylor]: Taking taylor expansion of (- 1 k) in k 125.468 * [taylor]: Taking taylor expansion of 1 in k 125.468 * [backup-simplify]: Simplify 1 into 1 125.468 * [taylor]: Taking taylor expansion of k in k 125.468 * [backup-simplify]: Simplify 0 into 0 125.468 * [backup-simplify]: Simplify 1 into 1 125.468 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 125.468 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 125.468 * [taylor]: Taking taylor expansion of 2 in k 125.468 * [backup-simplify]: Simplify 2 into 2 125.468 * [taylor]: Taking taylor expansion of (* n PI) in k 125.468 * [taylor]: Taking taylor expansion of n in k 125.468 * [backup-simplify]: Simplify n into n 125.468 * [taylor]: Taking taylor expansion of PI in k 125.468 * [backup-simplify]: Simplify PI into PI 125.468 * [backup-simplify]: Simplify (* n PI) into (* n PI) 125.468 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 125.468 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 125.468 * [backup-simplify]: Simplify (- 0) into 0 125.469 * [backup-simplify]: Simplify (+ 1 0) into 1 125.469 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 125.469 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 125.469 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 125.469 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 125.469 * [taylor]: Taking taylor expansion of (sqrt k) in k 125.469 * [taylor]: Taking taylor expansion of k in k 125.469 * [backup-simplify]: Simplify 0 into 0 125.469 * [backup-simplify]: Simplify 1 into 1 125.469 * [backup-simplify]: Simplify (sqrt 0) into 0 125.470 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 125.470 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 125.470 * [taylor]: Taking taylor expansion of 0 in n 125.470 * [backup-simplify]: Simplify 0 into 0 125.470 * [backup-simplify]: Simplify 0 into 0 125.471 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 125.471 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 125.472 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 125.472 * [backup-simplify]: Simplify (- 1) into -1 125.472 * [backup-simplify]: Simplify (+ 0 -1) into -1 125.472 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 125.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 125.473 * [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))))) 125.473 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 125.474 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 125.474 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 125.475 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 125.475 * [taylor]: Taking taylor expansion of +nan.0 in n 125.475 * [backup-simplify]: Simplify +nan.0 into +nan.0 125.475 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 125.475 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 125.475 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 125.475 * [taylor]: Taking taylor expansion of (* n PI) in n 125.475 * [taylor]: Taking taylor expansion of n in n 125.475 * [backup-simplify]: Simplify 0 into 0 125.475 * [backup-simplify]: Simplify 1 into 1 125.475 * [taylor]: Taking taylor expansion of PI in n 125.475 * [backup-simplify]: Simplify PI into PI 125.475 * [backup-simplify]: Simplify (* 0 PI) into 0 125.476 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 125.476 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 125.476 * [backup-simplify]: Simplify (sqrt 0) into 0 125.478 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 125.478 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 125.478 * [taylor]: Taking taylor expansion of 1/2 in n 125.478 * [backup-simplify]: Simplify 1/2 into 1/2 125.478 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 125.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 125.481 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 125.481 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 125.485 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 125.487 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 125.489 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 125.489 * [backup-simplify]: Simplify 0 into 0 125.491 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 125.492 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 125.493 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 125.494 * [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 0 125.494 * [backup-simplify]: Simplify (- 0) into 0 125.495 * [backup-simplify]: Simplify (+ 0 0) into 0 125.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 125.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 125.496 * [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))) 125.498 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 125.502 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 125.502 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 125.502 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 125.502 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 125.502 * [taylor]: Taking taylor expansion of +nan.0 in n 125.502 * [backup-simplify]: Simplify +nan.0 into +nan.0 125.502 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 125.502 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 125.502 * [taylor]: Taking taylor expansion of (sqrt 2) in n 125.502 * [taylor]: Taking taylor expansion of 2 in n 125.502 * [backup-simplify]: Simplify 2 into 2 125.502 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 125.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 125.503 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 125.503 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 125.503 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 125.503 * [taylor]: Taking taylor expansion of 2 in n 125.503 * [backup-simplify]: Simplify 2 into 2 125.503 * [taylor]: Taking taylor expansion of (* n PI) in n 125.503 * [taylor]: Taking taylor expansion of n in n 125.503 * [backup-simplify]: Simplify 0 into 0 125.503 * [backup-simplify]: Simplify 1 into 1 125.503 * [taylor]: Taking taylor expansion of PI in n 125.503 * [backup-simplify]: Simplify PI into PI 125.503 * [backup-simplify]: Simplify (* 0 PI) into 0 125.503 * [backup-simplify]: Simplify (* 2 0) into 0 125.504 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 125.505 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 125.506 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 125.506 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 125.506 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 125.506 * [taylor]: Taking taylor expansion of 1/2 in n 125.506 * [backup-simplify]: Simplify 1/2 into 1/2 125.506 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 125.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 125.507 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 125.507 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 125.507 * [taylor]: Taking taylor expansion of (* n PI) in n 125.507 * [taylor]: Taking taylor expansion of n in n 125.507 * [backup-simplify]: Simplify 0 into 0 125.507 * [backup-simplify]: Simplify 1 into 1 125.507 * [taylor]: Taking taylor expansion of PI in n 125.507 * [backup-simplify]: Simplify PI into PI 125.507 * [backup-simplify]: Simplify (* 0 PI) into 0 125.508 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 125.508 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 125.508 * [backup-simplify]: Simplify (sqrt 0) into 0 125.510 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 125.510 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 125.510 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 125.510 * [taylor]: Taking taylor expansion of +nan.0 in n 125.510 * [backup-simplify]: Simplify +nan.0 into +nan.0 125.510 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 125.510 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 125.510 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 125.510 * [taylor]: Taking taylor expansion of (* n PI) in n 125.510 * [taylor]: Taking taylor expansion of n in n 125.510 * [backup-simplify]: Simplify 0 into 0 125.510 * [backup-simplify]: Simplify 1 into 1 125.510 * [taylor]: Taking taylor expansion of PI in n 125.510 * [backup-simplify]: Simplify PI into PI 125.510 * [backup-simplify]: Simplify (* 0 PI) into 0 125.511 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 125.511 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 125.512 * [backup-simplify]: Simplify (sqrt 0) into 0 125.514 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 125.514 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 125.514 * [taylor]: Taking taylor expansion of 1/2 in n 125.514 * [backup-simplify]: Simplify 1/2 into 1/2 125.514 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 125.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 125.516 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 125.518 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 125.520 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 125.522 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 125.523 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 125.524 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 125.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 125.526 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 125.528 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 125.529 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 125.532 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 125.535 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 125.538 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 125.550 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 125.553 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 125.554 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 125.559 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 125.563 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 125.577 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 125.596 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 125.616 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 125.617 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 125.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 125.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 125.626 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 125.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 125.635 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 125.638 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 125.640 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 125.656 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 125.657 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2))) into (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) 125.657 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 125.657 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in n 125.657 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 125.657 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 125.657 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 125.657 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 125.657 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 125.657 * [taylor]: Taking taylor expansion of 1/2 in n 125.657 * [backup-simplify]: Simplify 1/2 into 1/2 125.657 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 125.657 * [taylor]: Taking taylor expansion of 1 in n 125.657 * [backup-simplify]: Simplify 1 into 1 125.657 * [taylor]: Taking taylor expansion of (/ 1 k) in n 125.657 * [taylor]: Taking taylor expansion of k in n 125.657 * [backup-simplify]: Simplify k into k 125.657 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 125.657 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 125.657 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 125.657 * [taylor]: Taking taylor expansion of 2 in n 125.657 * [backup-simplify]: Simplify 2 into 2 125.657 * [taylor]: Taking taylor expansion of (/ PI n) in n 125.657 * [taylor]: Taking taylor expansion of PI in n 125.657 * [backup-simplify]: Simplify PI into PI 125.657 * [taylor]: Taking taylor expansion of n in n 125.657 * [backup-simplify]: Simplify 0 into 0 125.657 * [backup-simplify]: Simplify 1 into 1 125.658 * [backup-simplify]: Simplify (/ PI 1) into PI 125.658 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 125.659 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 125.659 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 125.659 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 125.659 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 125.661 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 125.662 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 125.663 * [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))))) 125.664 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 125.664 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 125.664 * [taylor]: Taking taylor expansion of (/ 1 k) in n 125.664 * [taylor]: Taking taylor expansion of k in n 125.664 * [backup-simplify]: Simplify k into k 125.664 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 125.664 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 125.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 125.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 125.665 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 125.665 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 125.665 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 125.665 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 125.665 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 125.665 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 125.665 * [taylor]: Taking taylor expansion of 1/2 in k 125.665 * [backup-simplify]: Simplify 1/2 into 1/2 125.665 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 125.665 * [taylor]: Taking taylor expansion of 1 in k 125.665 * [backup-simplify]: Simplify 1 into 1 125.665 * [taylor]: Taking taylor expansion of (/ 1 k) in k 125.665 * [taylor]: Taking taylor expansion of k in k 125.665 * [backup-simplify]: Simplify 0 into 0 125.665 * [backup-simplify]: Simplify 1 into 1 125.665 * [backup-simplify]: Simplify (/ 1 1) into 1 125.665 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 125.665 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 125.665 * [taylor]: Taking taylor expansion of 2 in k 125.665 * [backup-simplify]: Simplify 2 into 2 125.665 * [taylor]: Taking taylor expansion of (/ PI n) in k 125.666 * [taylor]: Taking taylor expansion of PI in k 125.666 * [backup-simplify]: Simplify PI into PI 125.666 * [taylor]: Taking taylor expansion of n in k 125.666 * [backup-simplify]: Simplify n into n 125.666 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 125.666 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 125.666 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 125.666 * [backup-simplify]: Simplify (- 1) into -1 125.667 * [backup-simplify]: Simplify (+ 0 -1) into -1 125.667 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 125.667 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 125.667 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 125.668 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 125.668 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 125.668 * [taylor]: Taking taylor expansion of (/ 1 k) in k 125.668 * [taylor]: Taking taylor expansion of k in k 125.668 * [backup-simplify]: Simplify 0 into 0 125.668 * [backup-simplify]: Simplify 1 into 1 125.668 * [backup-simplify]: Simplify (/ 1 1) into 1 125.668 * [backup-simplify]: Simplify (sqrt 0) into 0 125.670 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 125.670 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 125.670 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 125.670 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 125.670 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 125.670 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 125.670 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 125.670 * [taylor]: Taking taylor expansion of 1/2 in k 125.670 * [backup-simplify]: Simplify 1/2 into 1/2 125.670 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 125.670 * [taylor]: Taking taylor expansion of 1 in k 125.670 * [backup-simplify]: Simplify 1 into 1 125.670 * [taylor]: Taking taylor expansion of (/ 1 k) in k 125.670 * [taylor]: Taking taylor expansion of k in k 125.670 * [backup-simplify]: Simplify 0 into 0 125.670 * [backup-simplify]: Simplify 1 into 1 125.671 * [backup-simplify]: Simplify (/ 1 1) into 1 125.671 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 125.671 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 125.671 * [taylor]: Taking taylor expansion of 2 in k 125.671 * [backup-simplify]: Simplify 2 into 2 125.671 * [taylor]: Taking taylor expansion of (/ PI n) in k 125.671 * [taylor]: Taking taylor expansion of PI in k 125.671 * [backup-simplify]: Simplify PI into PI 125.671 * [taylor]: Taking taylor expansion of n in k 125.671 * [backup-simplify]: Simplify n into n 125.671 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 125.671 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 125.671 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 125.671 * [backup-simplify]: Simplify (- 1) into -1 125.672 * [backup-simplify]: Simplify (+ 0 -1) into -1 125.672 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 125.672 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 125.673 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 125.673 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 125.673 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 125.673 * [taylor]: Taking taylor expansion of (/ 1 k) in k 125.673 * [taylor]: Taking taylor expansion of k in k 125.673 * [backup-simplify]: Simplify 0 into 0 125.673 * [backup-simplify]: Simplify 1 into 1 125.673 * [backup-simplify]: Simplify (/ 1 1) into 1 125.674 * [backup-simplify]: Simplify (sqrt 0) into 0 125.675 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 125.675 * [backup-simplify]: Simplify (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 0) into 0 125.675 * [taylor]: Taking taylor expansion of 0 in n 125.675 * [backup-simplify]: Simplify 0 into 0 125.675 * [backup-simplify]: Simplify 0 into 0 125.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0 125.676 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) 125.676 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 125.677 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 125.677 * [taylor]: Taking taylor expansion of +nan.0 in n 125.677 * [backup-simplify]: Simplify +nan.0 into +nan.0 125.677 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 125.677 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 125.677 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 125.677 * [taylor]: Taking taylor expansion of 1/2 in n 125.677 * [backup-simplify]: Simplify 1/2 into 1/2 125.677 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 125.677 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 125.677 * [taylor]: Taking taylor expansion of 1 in n 125.677 * [backup-simplify]: Simplify 1 into 1 125.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n 125.677 * [taylor]: Taking taylor expansion of k in n 125.677 * [backup-simplify]: Simplify k into k 125.677 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 125.677 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 125.677 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 125.677 * [taylor]: Taking taylor expansion of 2 in n 125.677 * [backup-simplify]: Simplify 2 into 2 125.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 125.677 * [taylor]: Taking taylor expansion of PI in n 125.677 * [backup-simplify]: Simplify PI into PI 125.677 * [taylor]: Taking taylor expansion of n in n 125.677 * [backup-simplify]: Simplify 0 into 0 125.677 * [backup-simplify]: Simplify 1 into 1 125.678 * [backup-simplify]: Simplify (/ PI 1) into PI 125.678 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 125.679 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 125.679 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 125.679 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 125.681 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 125.682 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 125.683 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 125.684 * [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))))) 125.685 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 125.687 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))) 125.688 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 125.689 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 125.689 * [backup-simplify]: Simplify 0 into 0 125.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 125.693 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 125.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0 125.694 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) 125.694 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 125.694 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 125.694 * [taylor]: Taking taylor expansion of +nan.0 in n 125.694 * [backup-simplify]: Simplify +nan.0 into +nan.0 125.694 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 125.694 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 125.694 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 125.694 * [taylor]: Taking taylor expansion of 1/2 in n 125.694 * [backup-simplify]: Simplify 1/2 into 1/2 125.694 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 125.694 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 125.694 * [taylor]: Taking taylor expansion of 1 in n 125.694 * [backup-simplify]: Simplify 1 into 1 125.694 * [taylor]: Taking taylor expansion of (/ 1 k) in n 125.694 * [taylor]: Taking taylor expansion of k in n 125.695 * [backup-simplify]: Simplify k into k 125.695 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 125.695 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 125.695 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 125.695 * [taylor]: Taking taylor expansion of 2 in n 125.695 * [backup-simplify]: Simplify 2 into 2 125.695 * [taylor]: Taking taylor expansion of (/ PI n) in n 125.695 * [taylor]: Taking taylor expansion of PI in n 125.695 * [backup-simplify]: Simplify PI into PI 125.695 * [taylor]: Taking taylor expansion of n in n 125.695 * [backup-simplify]: Simplify 0 into 0 125.695 * [backup-simplify]: Simplify 1 into 1 125.695 * [backup-simplify]: Simplify (/ PI 1) into PI 125.696 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 125.697 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 125.697 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 125.697 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 125.698 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 125.699 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 125.701 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 125.702 * [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))))) 125.703 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 125.704 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))) 125.705 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 125.706 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 125.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 125.708 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 125.710 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 125.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 125.710 * [backup-simplify]: Simplify (- 0) into 0 125.710 * [backup-simplify]: Simplify (+ 0 0) into 0 125.712 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 125.713 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 125.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 125.717 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 125.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0 125.721 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0 125.721 * [backup-simplify]: Simplify (- 0) into 0 125.721 * [backup-simplify]: Simplify 0 into 0 125.721 * [backup-simplify]: Simplify 0 into 0 125.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 125.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 125.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0 125.729 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) 125.729 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 125.729 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 125.729 * [taylor]: Taking taylor expansion of +nan.0 in n 125.729 * [backup-simplify]: Simplify +nan.0 into +nan.0 125.729 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 125.729 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 125.729 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 125.729 * [taylor]: Taking taylor expansion of 1/2 in n 125.729 * [backup-simplify]: Simplify 1/2 into 1/2 125.729 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 125.729 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 125.729 * [taylor]: Taking taylor expansion of 1 in n 125.729 * [backup-simplify]: Simplify 1 into 1 125.729 * [taylor]: Taking taylor expansion of (/ 1 k) in n 125.729 * [taylor]: Taking taylor expansion of k in n 125.729 * [backup-simplify]: Simplify k into k 125.729 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 125.729 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 125.729 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 125.729 * [taylor]: Taking taylor expansion of 2 in n 125.729 * [backup-simplify]: Simplify 2 into 2 125.729 * [taylor]: Taking taylor expansion of (/ PI n) in n 125.729 * [taylor]: Taking taylor expansion of PI in n 125.729 * [backup-simplify]: Simplify PI into PI 125.729 * [taylor]: Taking taylor expansion of n in n 125.729 * [backup-simplify]: Simplify 0 into 0 125.730 * [backup-simplify]: Simplify 1 into 1 125.730 * [backup-simplify]: Simplify (/ PI 1) into PI 125.730 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 125.731 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 125.731 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 125.732 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 125.733 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 125.734 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 125.735 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 125.736 * [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))))) 125.737 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 125.741 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))) 125.742 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 125.743 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 125.747 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))))) into (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)))))))) 125.748 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) 125.748 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0 125.748 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 125.748 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 125.748 * [taylor]: Taking taylor expansion of (/ -1 k) in n 125.748 * [taylor]: Taking taylor expansion of -1 in n 125.748 * [backup-simplify]: Simplify -1 into -1 125.748 * [taylor]: Taking taylor expansion of k in n 125.748 * [backup-simplify]: Simplify k into k 125.748 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 125.749 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 125.749 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 125.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 125.749 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 125.749 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 125.749 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 125.749 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 125.749 * [taylor]: Taking taylor expansion of 1/2 in n 125.749 * [backup-simplify]: Simplify 1/2 into 1/2 125.749 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 125.749 * [taylor]: Taking taylor expansion of (/ 1 k) in n 125.749 * [taylor]: Taking taylor expansion of k in n 125.749 * [backup-simplify]: Simplify k into k 125.749 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 125.749 * [taylor]: Taking taylor expansion of 1 in n 125.749 * [backup-simplify]: Simplify 1 into 1 125.749 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 125.749 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 125.749 * [taylor]: Taking taylor expansion of -2 in n 125.749 * [backup-simplify]: Simplify -2 into -2 125.749 * [taylor]: Taking taylor expansion of (/ PI n) in n 125.749 * [taylor]: Taking taylor expansion of PI in n 125.749 * [backup-simplify]: Simplify PI into PI 125.749 * [taylor]: Taking taylor expansion of n in n 125.749 * [backup-simplify]: Simplify 0 into 0 125.749 * [backup-simplify]: Simplify 1 into 1 125.750 * [backup-simplify]: Simplify (/ PI 1) into PI 125.750 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 125.751 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 125.752 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 125.752 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 125.753 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 125.754 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 125.756 * [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))))) 125.757 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 125.757 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 125.757 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 125.757 * [taylor]: Taking taylor expansion of (/ -1 k) in k 125.757 * [taylor]: Taking taylor expansion of -1 in k 125.757 * [backup-simplify]: Simplify -1 into -1 125.757 * [taylor]: Taking taylor expansion of k in k 125.757 * [backup-simplify]: Simplify 0 into 0 125.757 * [backup-simplify]: Simplify 1 into 1 125.757 * [backup-simplify]: Simplify (/ -1 1) into -1 125.758 * [backup-simplify]: Simplify (sqrt 0) into 0 125.760 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 125.760 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 125.760 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 125.760 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 125.760 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 125.760 * [taylor]: Taking taylor expansion of 1/2 in k 125.760 * [backup-simplify]: Simplify 1/2 into 1/2 125.760 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 125.760 * [taylor]: Taking taylor expansion of (/ 1 k) in k 125.760 * [taylor]: Taking taylor expansion of k in k 125.760 * [backup-simplify]: Simplify 0 into 0 125.760 * [backup-simplify]: Simplify 1 into 1 125.760 * [backup-simplify]: Simplify (/ 1 1) into 1 125.760 * [taylor]: Taking taylor expansion of 1 in k 125.760 * [backup-simplify]: Simplify 1 into 1 125.760 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 125.760 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 125.760 * [taylor]: Taking taylor expansion of -2 in k 125.760 * [backup-simplify]: Simplify -2 into -2 125.760 * [taylor]: Taking taylor expansion of (/ PI n) in k 125.760 * [taylor]: Taking taylor expansion of PI in k 125.760 * [backup-simplify]: Simplify PI into PI 125.761 * [taylor]: Taking taylor expansion of n in k 125.761 * [backup-simplify]: Simplify n into n 125.761 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 125.761 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 125.761 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 125.761 * [backup-simplify]: Simplify (+ 1 0) into 1 125.762 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 125.762 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 125.762 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 125.762 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 125.762 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 125.762 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 125.762 * [taylor]: Taking taylor expansion of (/ -1 k) in k 125.762 * [taylor]: Taking taylor expansion of -1 in k 125.762 * [backup-simplify]: Simplify -1 into -1 125.762 * [taylor]: Taking taylor expansion of k in k 125.762 * [backup-simplify]: Simplify 0 into 0 125.762 * [backup-simplify]: Simplify 1 into 1 125.763 * [backup-simplify]: Simplify (/ -1 1) into -1 125.763 * [backup-simplify]: Simplify (sqrt 0) into 0 125.765 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 125.765 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 125.765 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 125.765 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 125.765 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 125.765 * [taylor]: Taking taylor expansion of 1/2 in k 125.765 * [backup-simplify]: Simplify 1/2 into 1/2 125.765 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 125.765 * [taylor]: Taking taylor expansion of (/ 1 k) in k 125.765 * [taylor]: Taking taylor expansion of k in k 125.765 * [backup-simplify]: Simplify 0 into 0 125.765 * [backup-simplify]: Simplify 1 into 1 125.765 * [backup-simplify]: Simplify (/ 1 1) into 1 125.765 * [taylor]: Taking taylor expansion of 1 in k 125.765 * [backup-simplify]: Simplify 1 into 1 125.765 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 125.765 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 125.765 * [taylor]: Taking taylor expansion of -2 in k 125.765 * [backup-simplify]: Simplify -2 into -2 125.765 * [taylor]: Taking taylor expansion of (/ PI n) in k 125.765 * [taylor]: Taking taylor expansion of PI in k 125.765 * [backup-simplify]: Simplify PI into PI 125.766 * [taylor]: Taking taylor expansion of n in k 125.766 * [backup-simplify]: Simplify n into n 125.766 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 125.766 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 125.766 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 125.766 * [backup-simplify]: Simplify (+ 1 0) into 1 125.767 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 125.767 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 125.767 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 125.767 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 125.767 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 125.767 * [taylor]: Taking taylor expansion of +nan.0 in n 125.767 * [backup-simplify]: Simplify +nan.0 into +nan.0 125.767 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 125.767 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 125.767 * [taylor]: Taking taylor expansion of 1/2 in n 125.767 * [backup-simplify]: Simplify 1/2 into 1/2 125.767 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 125.767 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 125.768 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 125.768 * [taylor]: Taking taylor expansion of -2 in n 125.768 * [backup-simplify]: Simplify -2 into -2 125.768 * [taylor]: Taking taylor expansion of (/ PI n) in n 125.768 * [taylor]: Taking taylor expansion of PI in n 125.768 * [backup-simplify]: Simplify PI into PI 125.768 * [taylor]: Taking taylor expansion of n in n 125.768 * [backup-simplify]: Simplify 0 into 0 125.768 * [backup-simplify]: Simplify 1 into 1 125.768 * [backup-simplify]: Simplify (/ PI 1) into PI 125.769 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 125.770 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 125.770 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 125.770 * [taylor]: Taking taylor expansion of (/ 1 k) in n 125.770 * [taylor]: Taking taylor expansion of k in n 125.770 * [backup-simplify]: Simplify k into k 125.770 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 125.770 * [taylor]: Taking taylor expansion of 1 in n 125.770 * [backup-simplify]: Simplify 1 into 1 125.771 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 125.771 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 125.772 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 125.774 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 125.775 * [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))))) 125.776 * [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)))))) 125.777 * [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)))))) 125.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 125.781 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 125.781 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) 125.781 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n 125.782 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 125.782 * [taylor]: Taking taylor expansion of +nan.0 in n 125.782 * [backup-simplify]: Simplify +nan.0 into +nan.0 125.782 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 125.782 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 125.782 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 125.782 * [taylor]: Taking taylor expansion of 1/2 in n 125.782 * [backup-simplify]: Simplify 1/2 into 1/2 125.782 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 125.782 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 125.782 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 125.782 * [taylor]: Taking taylor expansion of -2 in n 125.782 * [backup-simplify]: Simplify -2 into -2 125.782 * [taylor]: Taking taylor expansion of (/ PI n) in n 125.782 * [taylor]: Taking taylor expansion of PI in n 125.782 * [backup-simplify]: Simplify PI into PI 125.782 * [taylor]: Taking taylor expansion of n in n 125.782 * [backup-simplify]: Simplify 0 into 0 125.782 * [backup-simplify]: Simplify 1 into 1 125.782 * [backup-simplify]: Simplify (/ PI 1) into PI 125.783 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 125.784 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 125.784 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 125.784 * [taylor]: Taking taylor expansion of (/ 1 k) in n 125.784 * [taylor]: Taking taylor expansion of k in n 125.784 * [backup-simplify]: Simplify k into k 125.784 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 125.784 * [taylor]: Taking taylor expansion of 1 in n 125.784 * [backup-simplify]: Simplify 1 into 1 125.785 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 125.785 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 125.786 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 125.788 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 125.789 * [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))))) 125.790 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 125.791 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))) 125.792 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 125.793 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 125.795 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 125.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 125.795 * [backup-simplify]: Simplify (+ 0 0) into 0 125.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 125.797 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 125.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 125.800 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 125.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 125.803 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 125.807 * [backup-simplify]: Simplify (- (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0 125.807 * [backup-simplify]: Simplify 0 into 0 125.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 125.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 125.813 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) 125.813 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n 125.813 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 125.813 * [taylor]: Taking taylor expansion of +nan.0 in n 125.813 * [backup-simplify]: Simplify +nan.0 into +nan.0 125.813 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 125.813 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 125.813 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 125.813 * [taylor]: Taking taylor expansion of 1/2 in n 125.813 * [backup-simplify]: Simplify 1/2 into 1/2 125.813 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 125.814 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 125.814 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 125.814 * [taylor]: Taking taylor expansion of -2 in n 125.814 * [backup-simplify]: Simplify -2 into -2 125.814 * [taylor]: Taking taylor expansion of (/ PI n) in n 125.814 * [taylor]: Taking taylor expansion of PI in n 125.814 * [backup-simplify]: Simplify PI into PI 125.814 * [taylor]: Taking taylor expansion of n in n 125.814 * [backup-simplify]: Simplify 0 into 0 125.814 * [backup-simplify]: Simplify 1 into 1 125.814 * [backup-simplify]: Simplify (/ PI 1) into PI 125.815 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 125.816 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 125.816 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 125.816 * [taylor]: Taking taylor expansion of (/ 1 k) in n 125.816 * [taylor]: Taking taylor expansion of k in n 125.816 * [backup-simplify]: Simplify k into k 125.816 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 125.816 * [taylor]: Taking taylor expansion of 1 in n 125.816 * [backup-simplify]: Simplify 1 into 1 125.817 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 125.817 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 125.818 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 125.819 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 125.821 * [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))))) 125.822 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 125.823 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))) 125.824 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 125.826 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 125.829 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (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 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))) 125.830 * * * * [progress]: [ 4 / 4 ] generating series at (2) 125.830 * [backup-simplify]: Simplify (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 125.830 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 125.830 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 125.830 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 125.830 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 125.830 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 125.830 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 125.830 * [taylor]: Taking taylor expansion of 1/2 in n 125.831 * [backup-simplify]: Simplify 1/2 into 1/2 125.831 * [taylor]: Taking taylor expansion of (- 1 k) in n 125.831 * [taylor]: Taking taylor expansion of 1 in n 125.831 * [backup-simplify]: Simplify 1 into 1 125.831 * [taylor]: Taking taylor expansion of k in n 125.831 * [backup-simplify]: Simplify k into k 125.831 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 125.831 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 125.831 * [taylor]: Taking taylor expansion of 2 in n 125.831 * [backup-simplify]: Simplify 2 into 2 125.831 * [taylor]: Taking taylor expansion of (* n PI) in n 125.831 * [taylor]: Taking taylor expansion of n in n 125.831 * [backup-simplify]: Simplify 0 into 0 125.831 * [backup-simplify]: Simplify 1 into 1 125.831 * [taylor]: Taking taylor expansion of PI in n 125.831 * [backup-simplify]: Simplify PI into PI 125.831 * [backup-simplify]: Simplify (* 0 PI) into 0 125.832 * [backup-simplify]: Simplify (* 2 0) into 0 125.833 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 125.835 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 125.836 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 125.836 * [backup-simplify]: Simplify (- k) into (- k) 125.836 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 125.836 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 125.837 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 125.838 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 125.839 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 125.839 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 125.839 * [taylor]: Taking taylor expansion of (/ 1 k) in n 125.839 * [taylor]: Taking taylor expansion of k in n 125.839 * [backup-simplify]: Simplify k into k 125.839 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 125.839 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 125.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 125.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 125.840 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 125.840 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 125.840 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 125.840 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 125.840 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 125.840 * [taylor]: Taking taylor expansion of 1/2 in k 125.840 * [backup-simplify]: Simplify 1/2 into 1/2 125.840 * [taylor]: Taking taylor expansion of (- 1 k) in k 125.840 * [taylor]: Taking taylor expansion of 1 in k 125.840 * [backup-simplify]: Simplify 1 into 1 125.840 * [taylor]: Taking taylor expansion of k in k 125.840 * [backup-simplify]: Simplify 0 into 0 125.840 * [backup-simplify]: Simplify 1 into 1 125.840 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 125.840 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 125.840 * [taylor]: Taking taylor expansion of 2 in k 125.840 * [backup-simplify]: Simplify 2 into 2 125.840 * [taylor]: Taking taylor expansion of (* n PI) in k 125.840 * [taylor]: Taking taylor expansion of n in k 125.840 * [backup-simplify]: Simplify n into n 125.840 * [taylor]: Taking taylor expansion of PI in k 125.840 * [backup-simplify]: Simplify PI into PI 125.840 * [backup-simplify]: Simplify (* n PI) into (* n PI) 125.840 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 125.840 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 125.841 * [backup-simplify]: Simplify (- 0) into 0 125.841 * [backup-simplify]: Simplify (+ 1 0) into 1 125.842 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 125.842 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 125.842 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 125.842 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 125.842 * [taylor]: Taking taylor expansion of (/ 1 k) in k 125.842 * [taylor]: Taking taylor expansion of k in k 125.842 * [backup-simplify]: Simplify 0 into 0 125.842 * [backup-simplify]: Simplify 1 into 1 125.842 * [backup-simplify]: Simplify (/ 1 1) into 1 125.843 * [backup-simplify]: Simplify (sqrt 0) into 0 125.844 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 125.844 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 125.844 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 125.844 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 125.844 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 125.844 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 125.844 * [taylor]: Taking taylor expansion of 1/2 in k 125.844 * [backup-simplify]: Simplify 1/2 into 1/2 125.844 * [taylor]: Taking taylor expansion of (- 1 k) in k 125.844 * [taylor]: Taking taylor expansion of 1 in k 125.844 * [backup-simplify]: Simplify 1 into 1 125.844 * [taylor]: Taking taylor expansion of k in k 125.844 * [backup-simplify]: Simplify 0 into 0 125.844 * [backup-simplify]: Simplify 1 into 1 125.844 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 125.844 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 125.844 * [taylor]: Taking taylor expansion of 2 in k 125.844 * [backup-simplify]: Simplify 2 into 2 125.845 * [taylor]: Taking taylor expansion of (* n PI) in k 125.845 * [taylor]: Taking taylor expansion of n in k 125.845 * [backup-simplify]: Simplify n into n 125.845 * [taylor]: Taking taylor expansion of PI in k 125.845 * [backup-simplify]: Simplify PI into PI 125.845 * [backup-simplify]: Simplify (* n PI) into (* n PI) 125.845 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 125.845 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 125.845 * [backup-simplify]: Simplify (- 0) into 0 125.846 * [backup-simplify]: Simplify (+ 1 0) into 1 125.846 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 125.846 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 125.846 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 125.846 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 125.846 * [taylor]: Taking taylor expansion of (/ 1 k) in k 125.846 * [taylor]: Taking taylor expansion of k in k 125.846 * [backup-simplify]: Simplify 0 into 0 125.846 * [backup-simplify]: Simplify 1 into 1 125.847 * [backup-simplify]: Simplify (/ 1 1) into 1 125.847 * [backup-simplify]: Simplify (sqrt 0) into 0 125.849 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 125.849 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 125.849 * [taylor]: Taking taylor expansion of 0 in n 125.849 * [backup-simplify]: Simplify 0 into 0 125.849 * [backup-simplify]: Simplify 0 into 0 125.849 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 125.850 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 125.851 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 125.851 * [backup-simplify]: Simplify (- 1) into -1 125.851 * [backup-simplify]: Simplify (+ 0 -1) into -1 125.852 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 125.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 125.853 * [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))))) 125.853 * [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))))) 125.853 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 125.853 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 125.853 * [taylor]: Taking taylor expansion of +nan.0 in n 125.854 * [backup-simplify]: Simplify +nan.0 into +nan.0 125.854 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 125.854 * [taylor]: Taking taylor expansion of (sqrt 2) in n 125.854 * [taylor]: Taking taylor expansion of 2 in n 125.854 * [backup-simplify]: Simplify 2 into 2 125.854 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 125.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 125.855 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 125.855 * [taylor]: Taking taylor expansion of (* n PI) in n 125.855 * [taylor]: Taking taylor expansion of n in n 125.855 * [backup-simplify]: Simplify 0 into 0 125.855 * [backup-simplify]: Simplify 1 into 1 125.855 * [taylor]: Taking taylor expansion of PI in n 125.855 * [backup-simplify]: Simplify PI into PI 125.855 * [backup-simplify]: Simplify (* 0 PI) into 0 125.857 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 125.857 * [backup-simplify]: Simplify (sqrt 0) into 0 125.858 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 125.859 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 125.859 * [backup-simplify]: Simplify (* +nan.0 0) into 0 125.860 * [backup-simplify]: Simplify (- 0) into 0 125.860 * [backup-simplify]: Simplify 0 into 0 125.860 * [backup-simplify]: Simplify 0 into 0 125.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 125.863 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 125.864 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 125.865 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 125.867 * [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 0 125.867 * [backup-simplify]: Simplify (- 0) into 0 125.868 * [backup-simplify]: Simplify (+ 0 0) into 0 125.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 125.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 125.871 * [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))) 125.872 * [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))))))) 125.872 * [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 125.872 * [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 125.872 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 125.872 * [taylor]: Taking taylor expansion of +nan.0 in n 125.872 * [backup-simplify]: Simplify +nan.0 into +nan.0 125.872 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 125.872 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 125.872 * [taylor]: Taking taylor expansion of (sqrt 2) in n 125.872 * [taylor]: Taking taylor expansion of 2 in n 125.872 * [backup-simplify]: Simplify 2 into 2 125.873 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 125.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 125.874 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 125.874 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 125.874 * [taylor]: Taking taylor expansion of 2 in n 125.874 * [backup-simplify]: Simplify 2 into 2 125.874 * [taylor]: Taking taylor expansion of (* n PI) in n 125.874 * [taylor]: Taking taylor expansion of n in n 125.874 * [backup-simplify]: Simplify 0 into 0 125.874 * [backup-simplify]: Simplify 1 into 1 125.874 * [taylor]: Taking taylor expansion of PI in n 125.874 * [backup-simplify]: Simplify PI into PI 125.874 * [backup-simplify]: Simplify (* 0 PI) into 0 125.875 * [backup-simplify]: Simplify (* 2 0) into 0 125.876 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 125.878 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 125.879 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 125.879 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 125.879 * [taylor]: Taking taylor expansion of (* n PI) in n 125.879 * [taylor]: Taking taylor expansion of n in n 125.879 * [backup-simplify]: Simplify 0 into 0 125.879 * [backup-simplify]: Simplify 1 into 1 125.879 * [taylor]: Taking taylor expansion of PI in n 125.879 * [backup-simplify]: Simplify PI into PI 125.879 * [backup-simplify]: Simplify (* 0 PI) into 0 125.881 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 125.883 * [backup-simplify]: Simplify (sqrt 0) into 0 125.885 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 125.885 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 125.885 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 125.885 * [taylor]: Taking taylor expansion of +nan.0 in n 125.885 * [backup-simplify]: Simplify +nan.0 into +nan.0 125.885 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 125.885 * [taylor]: Taking taylor expansion of (sqrt 2) in n 125.885 * [taylor]: Taking taylor expansion of 2 in n 125.885 * [backup-simplify]: Simplify 2 into 2 125.885 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 125.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 125.886 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 125.886 * [taylor]: Taking taylor expansion of (* n PI) in n 125.886 * [taylor]: Taking taylor expansion of n in n 125.886 * [backup-simplify]: Simplify 0 into 0 125.886 * [backup-simplify]: Simplify 1 into 1 125.886 * [taylor]: Taking taylor expansion of PI in n 125.886 * [backup-simplify]: Simplify PI into PI 125.887 * [backup-simplify]: Simplify (* 0 PI) into 0 125.888 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 125.888 * [backup-simplify]: Simplify (sqrt 0) into 0 125.890 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 125.891 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 125.892 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 125.894 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 125.894 * [backup-simplify]: Simplify (* +nan.0 0) into 0 125.895 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 125.895 * [backup-simplify]: Simplify (* +nan.0 0) into 0 125.895 * [backup-simplify]: Simplify (- 0) into 0 125.896 * [backup-simplify]: Simplify (+ 0 0) into 0 125.896 * [backup-simplify]: Simplify (- 0) into 0 125.896 * [backup-simplify]: Simplify 0 into 0 125.899 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 125.904 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 125.908 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 125.910 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 125.910 * [backup-simplify]: Simplify 0 into 0 125.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 125.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 125.916 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 125.917 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 125.921 * [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 0 125.921 * [backup-simplify]: Simplify (- 0) into 0 125.921 * [backup-simplify]: Simplify (+ 0 0) into 0 125.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 125.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 125.926 * [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))) 125.927 * [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))))))))) 125.927 * [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 125.927 * [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 125.927 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 125.927 * [taylor]: Taking taylor expansion of +nan.0 in n 125.927 * [backup-simplify]: Simplify +nan.0 into +nan.0 125.927 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 125.927 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 125.927 * [taylor]: Taking taylor expansion of (sqrt 2) in n 125.927 * [taylor]: Taking taylor expansion of 2 in n 125.927 * [backup-simplify]: Simplify 2 into 2 125.928 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 125.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 125.928 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 125.928 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 125.928 * [taylor]: Taking taylor expansion of 2 in n 125.928 * [backup-simplify]: Simplify 2 into 2 125.928 * [taylor]: Taking taylor expansion of (* n PI) in n 125.928 * [taylor]: Taking taylor expansion of n in n 125.929 * [backup-simplify]: Simplify 0 into 0 125.929 * [backup-simplify]: Simplify 1 into 1 125.929 * [taylor]: Taking taylor expansion of PI in n 125.929 * [backup-simplify]: Simplify PI into PI 125.929 * [backup-simplify]: Simplify (* 0 PI) into 0 125.929 * [backup-simplify]: Simplify (* 2 0) into 0 125.931 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 125.932 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 125.933 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 125.933 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 125.933 * [taylor]: Taking taylor expansion of (* n PI) in n 125.933 * [taylor]: Taking taylor expansion of n in n 125.933 * [backup-simplify]: Simplify 0 into 0 125.933 * [backup-simplify]: Simplify 1 into 1 125.933 * [taylor]: Taking taylor expansion of PI in n 125.933 * [backup-simplify]: Simplify PI into PI 125.934 * [backup-simplify]: Simplify (* 0 PI) into 0 125.935 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 125.936 * [backup-simplify]: Simplify (sqrt 0) into 0 125.937 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 125.937 * [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 125.937 * [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 125.937 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 125.937 * [taylor]: Taking taylor expansion of +nan.0 in n 125.937 * [backup-simplify]: Simplify +nan.0 into +nan.0 125.937 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 125.937 * [taylor]: Taking taylor expansion of (sqrt 2) in n 125.937 * [taylor]: Taking taylor expansion of 2 in n 125.937 * [backup-simplify]: Simplify 2 into 2 125.938 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 125.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 125.938 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 125.939 * [taylor]: Taking taylor expansion of (* n PI) in n 125.939 * [taylor]: Taking taylor expansion of n in n 125.939 * [backup-simplify]: Simplify 0 into 0 125.939 * [backup-simplify]: Simplify 1 into 1 125.939 * [taylor]: Taking taylor expansion of PI in n 125.939 * [backup-simplify]: Simplify PI into PI 125.939 * [backup-simplify]: Simplify (* 0 PI) into 0 125.940 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 125.940 * [backup-simplify]: Simplify (sqrt 0) into 0 125.941 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 125.941 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 125.941 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 125.941 * [taylor]: Taking taylor expansion of +nan.0 in n 125.941 * [backup-simplify]: Simplify +nan.0 into +nan.0 125.941 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 125.941 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 125.941 * [taylor]: Taking taylor expansion of (sqrt 2) in n 125.941 * [taylor]: Taking taylor expansion of 2 in n 125.941 * [backup-simplify]: Simplify 2 into 2 125.941 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 125.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 125.942 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 125.942 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 125.942 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 125.942 * [taylor]: Taking taylor expansion of 2 in n 125.942 * [backup-simplify]: Simplify 2 into 2 125.942 * [taylor]: Taking taylor expansion of (* n PI) in n 125.942 * [taylor]: Taking taylor expansion of n in n 125.942 * [backup-simplify]: Simplify 0 into 0 125.942 * [backup-simplify]: Simplify 1 into 1 125.942 * [taylor]: Taking taylor expansion of PI in n 125.942 * [backup-simplify]: Simplify PI into PI 125.942 * [backup-simplify]: Simplify (* 0 PI) into 0 125.943 * [backup-simplify]: Simplify (* 2 0) into 0 125.943 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 125.944 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 125.945 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 125.946 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 125.946 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 125.946 * [taylor]: Taking taylor expansion of (* n PI) in n 125.946 * [taylor]: Taking taylor expansion of n in n 125.946 * [backup-simplify]: Simplify 0 into 0 125.946 * [backup-simplify]: Simplify 1 into 1 125.946 * [taylor]: Taking taylor expansion of PI in n 125.946 * [backup-simplify]: Simplify PI into PI 125.946 * [backup-simplify]: Simplify (* 0 PI) into 0 125.947 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 125.947 * [backup-simplify]: Simplify (sqrt 0) into 0 125.948 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 125.949 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 125.950 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 125.951 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 125.951 * [backup-simplify]: Simplify (* +nan.0 0) into 0 125.951 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 125.951 * [backup-simplify]: Simplify (* +nan.0 0) into 0 125.952 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 125.953 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 125.954 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 125.955 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 125.956 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 125.956 * [backup-simplify]: Simplify (* +nan.0 0) into 0 125.957 * [backup-simplify]: Simplify (- 0) into 0 125.957 * [backup-simplify]: Simplify (+ 0 0) into 0 125.957 * [backup-simplify]: Simplify (- 0) into 0 125.957 * [backup-simplify]: Simplify (+ 0 0) into 0 125.957 * [backup-simplify]: Simplify (- 0) into 0 125.957 * [backup-simplify]: Simplify 0 into 0 125.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 125.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 125.960 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 125.960 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 125.961 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 125.963 * [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)))))))) 125.966 * [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)))))))) 125.968 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 125.972 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 125.975 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 125.984 * [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)))))))))) 125.991 * [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))))))) 126.001 * [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))))))) 126.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 126.006 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 126.007 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 126.012 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 126.021 * [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)))) 126.025 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 126.028 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 126.043 * [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))))))))))))) 126.044 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 126.044 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 126.044 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 126.044 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 126.044 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 126.044 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 126.044 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 126.044 * [taylor]: Taking taylor expansion of 1/2 in n 126.044 * [backup-simplify]: Simplify 1/2 into 1/2 126.044 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 126.044 * [taylor]: Taking taylor expansion of 1 in n 126.044 * [backup-simplify]: Simplify 1 into 1 126.044 * [taylor]: Taking taylor expansion of (/ 1 k) in n 126.044 * [taylor]: Taking taylor expansion of k in n 126.044 * [backup-simplify]: Simplify k into k 126.044 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 126.044 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 126.044 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 126.044 * [taylor]: Taking taylor expansion of 2 in n 126.044 * [backup-simplify]: Simplify 2 into 2 126.044 * [taylor]: Taking taylor expansion of (/ PI n) in n 126.044 * [taylor]: Taking taylor expansion of PI in n 126.044 * [backup-simplify]: Simplify PI into PI 126.044 * [taylor]: Taking taylor expansion of n in n 126.044 * [backup-simplify]: Simplify 0 into 0 126.044 * [backup-simplify]: Simplify 1 into 1 126.045 * [backup-simplify]: Simplify (/ PI 1) into PI 126.045 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 126.046 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 126.046 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 126.046 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 126.046 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 126.048 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 126.049 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 126.050 * [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))))) 126.050 * [taylor]: Taking taylor expansion of (sqrt k) in n 126.050 * [taylor]: Taking taylor expansion of k in n 126.050 * [backup-simplify]: Simplify k into k 126.050 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 126.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 126.050 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 126.050 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 126.050 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 126.050 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 126.050 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 126.050 * [taylor]: Taking taylor expansion of 1/2 in k 126.051 * [backup-simplify]: Simplify 1/2 into 1/2 126.051 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 126.051 * [taylor]: Taking taylor expansion of 1 in k 126.051 * [backup-simplify]: Simplify 1 into 1 126.051 * [taylor]: Taking taylor expansion of (/ 1 k) in k 126.051 * [taylor]: Taking taylor expansion of k in k 126.051 * [backup-simplify]: Simplify 0 into 0 126.051 * [backup-simplify]: Simplify 1 into 1 126.051 * [backup-simplify]: Simplify (/ 1 1) into 1 126.051 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 126.051 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 126.051 * [taylor]: Taking taylor expansion of 2 in k 126.051 * [backup-simplify]: Simplify 2 into 2 126.051 * [taylor]: Taking taylor expansion of (/ PI n) in k 126.051 * [taylor]: Taking taylor expansion of PI in k 126.051 * [backup-simplify]: Simplify PI into PI 126.051 * [taylor]: Taking taylor expansion of n in k 126.051 * [backup-simplify]: Simplify n into n 126.051 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 126.052 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 126.052 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 126.052 * [backup-simplify]: Simplify (- 1) into -1 126.052 * [backup-simplify]: Simplify (+ 0 -1) into -1 126.053 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 126.053 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 126.053 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 126.053 * [taylor]: Taking taylor expansion of (sqrt k) in k 126.053 * [taylor]: Taking taylor expansion of k in k 126.053 * [backup-simplify]: Simplify 0 into 0 126.053 * [backup-simplify]: Simplify 1 into 1 126.054 * [backup-simplify]: Simplify (sqrt 0) into 0 126.055 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 126.055 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 126.055 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 126.055 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 126.055 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 126.055 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 126.055 * [taylor]: Taking taylor expansion of 1/2 in k 126.055 * [backup-simplify]: Simplify 1/2 into 1/2 126.055 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 126.056 * [taylor]: Taking taylor expansion of 1 in k 126.056 * [backup-simplify]: Simplify 1 into 1 126.056 * [taylor]: Taking taylor expansion of (/ 1 k) in k 126.056 * [taylor]: Taking taylor expansion of k in k 126.056 * [backup-simplify]: Simplify 0 into 0 126.056 * [backup-simplify]: Simplify 1 into 1 126.056 * [backup-simplify]: Simplify (/ 1 1) into 1 126.056 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 126.056 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 126.056 * [taylor]: Taking taylor expansion of 2 in k 126.056 * [backup-simplify]: Simplify 2 into 2 126.056 * [taylor]: Taking taylor expansion of (/ PI n) in k 126.056 * [taylor]: Taking taylor expansion of PI in k 126.056 * [backup-simplify]: Simplify PI into PI 126.056 * [taylor]: Taking taylor expansion of n in k 126.056 * [backup-simplify]: Simplify n into n 126.056 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 126.056 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 126.057 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 126.057 * [backup-simplify]: Simplify (- 1) into -1 126.057 * [backup-simplify]: Simplify (+ 0 -1) into -1 126.058 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 126.058 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 126.058 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 126.058 * [taylor]: Taking taylor expansion of (sqrt k) in k 126.058 * [taylor]: Taking taylor expansion of k in k 126.058 * [backup-simplify]: Simplify 0 into 0 126.058 * [backup-simplify]: Simplify 1 into 1 126.059 * [backup-simplify]: Simplify (sqrt 0) into 0 126.060 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 126.060 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 126.060 * [taylor]: Taking taylor expansion of 0 in n 126.060 * [backup-simplify]: Simplify 0 into 0 126.060 * [backup-simplify]: Simplify 0 into 0 126.060 * [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)))))))) 126.060 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 126.060 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 126.060 * [taylor]: Taking taylor expansion of +nan.0 in n 126.060 * [backup-simplify]: Simplify +nan.0 into +nan.0 126.060 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 126.060 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 126.060 * [taylor]: Taking taylor expansion of 1/2 in n 126.060 * [backup-simplify]: Simplify 1/2 into 1/2 126.060 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 126.060 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 126.060 * [taylor]: Taking taylor expansion of 1 in n 126.060 * [backup-simplify]: Simplify 1 into 1 126.061 * [taylor]: Taking taylor expansion of (/ 1 k) in n 126.061 * [taylor]: Taking taylor expansion of k in n 126.061 * [backup-simplify]: Simplify k into k 126.061 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 126.061 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 126.061 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 126.061 * [taylor]: Taking taylor expansion of 2 in n 126.061 * [backup-simplify]: Simplify 2 into 2 126.061 * [taylor]: Taking taylor expansion of (/ PI n) in n 126.061 * [taylor]: Taking taylor expansion of PI in n 126.061 * [backup-simplify]: Simplify PI into PI 126.061 * [taylor]: Taking taylor expansion of n in n 126.061 * [backup-simplify]: Simplify 0 into 0 126.061 * [backup-simplify]: Simplify 1 into 1 126.061 * [backup-simplify]: Simplify (/ PI 1) into PI 126.061 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 126.062 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 126.062 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 126.062 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 126.063 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 126.063 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 126.064 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 126.065 * [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))))) 126.066 * [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)))))) 126.066 * [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))))))) 126.067 * [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))))))) 126.067 * [backup-simplify]: Simplify 0 into 0 126.069 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 126.070 * [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)))))))) 126.070 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 126.070 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 126.070 * [taylor]: Taking taylor expansion of +nan.0 in n 126.070 * [backup-simplify]: Simplify +nan.0 into +nan.0 126.070 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 126.070 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 126.070 * [taylor]: Taking taylor expansion of 1/2 in n 126.070 * [backup-simplify]: Simplify 1/2 into 1/2 126.070 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 126.070 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 126.070 * [taylor]: Taking taylor expansion of 1 in n 126.070 * [backup-simplify]: Simplify 1 into 1 126.070 * [taylor]: Taking taylor expansion of (/ 1 k) in n 126.070 * [taylor]: Taking taylor expansion of k in n 126.070 * [backup-simplify]: Simplify k into k 126.070 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 126.070 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 126.070 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 126.070 * [taylor]: Taking taylor expansion of 2 in n 126.070 * [backup-simplify]: Simplify 2 into 2 126.070 * [taylor]: Taking taylor expansion of (/ PI n) in n 126.070 * [taylor]: Taking taylor expansion of PI in n 126.070 * [backup-simplify]: Simplify PI into PI 126.070 * [taylor]: Taking taylor expansion of n in n 126.070 * [backup-simplify]: Simplify 0 into 0 126.070 * [backup-simplify]: Simplify 1 into 1 126.070 * [backup-simplify]: Simplify (/ PI 1) into PI 126.071 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 126.071 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 126.071 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 126.071 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 126.072 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 126.073 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 126.074 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 126.074 * [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))))) 126.075 * [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)))))) 126.076 * [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))))))) 126.076 * [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))))))) 126.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 126.077 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 126.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 126.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 126.079 * [backup-simplify]: Simplify (- 0) into 0 126.079 * [backup-simplify]: Simplify (+ 0 0) into 0 126.080 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 126.080 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 126.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 126.082 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 126.083 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 126.084 * [backup-simplify]: Simplify (- 0) into 0 126.084 * [backup-simplify]: Simplify 0 into 0 126.084 * [backup-simplify]: Simplify 0 into 0 126.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 126.087 * [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)))))))) 126.087 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 126.087 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 126.087 * [taylor]: Taking taylor expansion of +nan.0 in n 126.087 * [backup-simplify]: Simplify +nan.0 into +nan.0 126.087 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 126.087 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 126.087 * [taylor]: Taking taylor expansion of 1/2 in n 126.087 * [backup-simplify]: Simplify 1/2 into 1/2 126.087 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 126.087 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 126.087 * [taylor]: Taking taylor expansion of 1 in n 126.087 * [backup-simplify]: Simplify 1 into 1 126.087 * [taylor]: Taking taylor expansion of (/ 1 k) in n 126.087 * [taylor]: Taking taylor expansion of k in n 126.087 * [backup-simplify]: Simplify k into k 126.087 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 126.087 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 126.087 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 126.087 * [taylor]: Taking taylor expansion of 2 in n 126.087 * [backup-simplify]: Simplify 2 into 2 126.087 * [taylor]: Taking taylor expansion of (/ PI n) in n 126.087 * [taylor]: Taking taylor expansion of PI in n 126.087 * [backup-simplify]: Simplify PI into PI 126.087 * [taylor]: Taking taylor expansion of n in n 126.087 * [backup-simplify]: Simplify 0 into 0 126.087 * [backup-simplify]: Simplify 1 into 1 126.087 * [backup-simplify]: Simplify (/ PI 1) into PI 126.088 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 126.089 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 126.089 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 126.089 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 126.091 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 126.092 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 126.093 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 126.094 * [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))))) 126.095 * [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)))))) 126.096 * [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))))))) 126.097 * [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))))))) 126.101 * [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)))))))) 126.102 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 126.102 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 126.102 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 126.102 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 126.102 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 126.102 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 126.102 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 126.102 * [taylor]: Taking taylor expansion of 1/2 in n 126.102 * [backup-simplify]: Simplify 1/2 into 1/2 126.102 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 126.102 * [taylor]: Taking taylor expansion of (/ 1 k) in n 126.102 * [taylor]: Taking taylor expansion of k in n 126.102 * [backup-simplify]: Simplify k into k 126.102 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 126.102 * [taylor]: Taking taylor expansion of 1 in n 126.102 * [backup-simplify]: Simplify 1 into 1 126.102 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 126.103 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 126.103 * [taylor]: Taking taylor expansion of -2 in n 126.103 * [backup-simplify]: Simplify -2 into -2 126.103 * [taylor]: Taking taylor expansion of (/ PI n) in n 126.103 * [taylor]: Taking taylor expansion of PI in n 126.103 * [backup-simplify]: Simplify PI into PI 126.103 * [taylor]: Taking taylor expansion of n in n 126.103 * [backup-simplify]: Simplify 0 into 0 126.103 * [backup-simplify]: Simplify 1 into 1 126.103 * [backup-simplify]: Simplify (/ PI 1) into PI 126.103 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 126.104 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 126.104 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 126.104 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 126.105 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 126.106 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 126.106 * [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))))) 126.106 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 126.106 * [taylor]: Taking taylor expansion of (/ -1 k) in n 126.106 * [taylor]: Taking taylor expansion of -1 in n 126.107 * [backup-simplify]: Simplify -1 into -1 126.107 * [taylor]: Taking taylor expansion of k in n 126.107 * [backup-simplify]: Simplify k into k 126.107 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 126.107 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 126.107 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 126.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 126.107 * [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))) 126.107 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 126.108 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 126.108 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 126.108 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 126.108 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 126.108 * [taylor]: Taking taylor expansion of 1/2 in k 126.108 * [backup-simplify]: Simplify 1/2 into 1/2 126.108 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 126.108 * [taylor]: Taking taylor expansion of (/ 1 k) in k 126.108 * [taylor]: Taking taylor expansion of k in k 126.108 * [backup-simplify]: Simplify 0 into 0 126.108 * [backup-simplify]: Simplify 1 into 1 126.108 * [backup-simplify]: Simplify (/ 1 1) into 1 126.108 * [taylor]: Taking taylor expansion of 1 in k 126.108 * [backup-simplify]: Simplify 1 into 1 126.108 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 126.108 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 126.108 * [taylor]: Taking taylor expansion of -2 in k 126.108 * [backup-simplify]: Simplify -2 into -2 126.108 * [taylor]: Taking taylor expansion of (/ PI n) in k 126.108 * [taylor]: Taking taylor expansion of PI in k 126.108 * [backup-simplify]: Simplify PI into PI 126.108 * [taylor]: Taking taylor expansion of n in k 126.108 * [backup-simplify]: Simplify n into n 126.108 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 126.108 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 126.108 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 126.108 * [backup-simplify]: Simplify (+ 1 0) into 1 126.109 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 126.109 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 126.109 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 126.109 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 126.109 * [taylor]: Taking taylor expansion of (/ -1 k) in k 126.109 * [taylor]: Taking taylor expansion of -1 in k 126.109 * [backup-simplify]: Simplify -1 into -1 126.109 * [taylor]: Taking taylor expansion of k in k 126.109 * [backup-simplify]: Simplify 0 into 0 126.109 * [backup-simplify]: Simplify 1 into 1 126.109 * [backup-simplify]: Simplify (/ -1 1) into -1 126.110 * [backup-simplify]: Simplify (sqrt 0) into 0 126.110 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 126.111 * [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))))) 126.111 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 126.111 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 126.111 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 126.111 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 126.111 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 126.111 * [taylor]: Taking taylor expansion of 1/2 in k 126.111 * [backup-simplify]: Simplify 1/2 into 1/2 126.111 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 126.111 * [taylor]: Taking taylor expansion of (/ 1 k) in k 126.111 * [taylor]: Taking taylor expansion of k in k 126.111 * [backup-simplify]: Simplify 0 into 0 126.111 * [backup-simplify]: Simplify 1 into 1 126.111 * [backup-simplify]: Simplify (/ 1 1) into 1 126.111 * [taylor]: Taking taylor expansion of 1 in k 126.111 * [backup-simplify]: Simplify 1 into 1 126.111 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 126.111 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 126.111 * [taylor]: Taking taylor expansion of -2 in k 126.111 * [backup-simplify]: Simplify -2 into -2 126.111 * [taylor]: Taking taylor expansion of (/ PI n) in k 126.111 * [taylor]: Taking taylor expansion of PI in k 126.111 * [backup-simplify]: Simplify PI into PI 126.111 * [taylor]: Taking taylor expansion of n in k 126.111 * [backup-simplify]: Simplify n into n 126.111 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 126.111 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 126.111 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 126.112 * [backup-simplify]: Simplify (+ 1 0) into 1 126.112 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 126.112 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 126.112 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 126.112 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 126.112 * [taylor]: Taking taylor expansion of (/ -1 k) in k 126.112 * [taylor]: Taking taylor expansion of -1 in k 126.112 * [backup-simplify]: Simplify -1 into -1 126.112 * [taylor]: Taking taylor expansion of k in k 126.112 * [backup-simplify]: Simplify 0 into 0 126.112 * [backup-simplify]: Simplify 1 into 1 126.112 * [backup-simplify]: Simplify (/ -1 1) into -1 126.113 * [backup-simplify]: Simplify (sqrt 0) into 0 126.113 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 126.114 * [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))))) 126.114 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 126.114 * [taylor]: Taking taylor expansion of +nan.0 in n 126.114 * [backup-simplify]: Simplify +nan.0 into +nan.0 126.114 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 126.114 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 126.114 * [taylor]: Taking taylor expansion of 1/2 in n 126.114 * [backup-simplify]: Simplify 1/2 into 1/2 126.114 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 126.114 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 126.114 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 126.114 * [taylor]: Taking taylor expansion of -2 in n 126.114 * [backup-simplify]: Simplify -2 into -2 126.114 * [taylor]: Taking taylor expansion of (/ PI n) in n 126.114 * [taylor]: Taking taylor expansion of PI in n 126.114 * [backup-simplify]: Simplify PI into PI 126.114 * [taylor]: Taking taylor expansion of n in n 126.114 * [backup-simplify]: Simplify 0 into 0 126.114 * [backup-simplify]: Simplify 1 into 1 126.116 * [backup-simplify]: Simplify (/ PI 1) into PI 126.117 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 126.118 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 126.118 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 126.118 * [taylor]: Taking taylor expansion of (/ 1 k) in n 126.118 * [taylor]: Taking taylor expansion of k in n 126.118 * [backup-simplify]: Simplify k into k 126.118 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 126.118 * [taylor]: Taking taylor expansion of 1 in n 126.118 * [backup-simplify]: Simplify 1 into 1 126.119 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 126.119 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 126.119 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 126.120 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 126.121 * [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))))) 126.121 * [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)))))) 126.122 * [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)))))) 126.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 126.124 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 126.125 * [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)))))) 126.125 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 126.125 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 126.125 * [taylor]: Taking taylor expansion of +nan.0 in n 126.125 * [backup-simplify]: Simplify +nan.0 into +nan.0 126.125 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 126.125 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 126.125 * [taylor]: Taking taylor expansion of 1/2 in n 126.125 * [backup-simplify]: Simplify 1/2 into 1/2 126.125 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 126.125 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 126.125 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 126.125 * [taylor]: Taking taylor expansion of -2 in n 126.125 * [backup-simplify]: Simplify -2 into -2 126.125 * [taylor]: Taking taylor expansion of (/ PI n) in n 126.125 * [taylor]: Taking taylor expansion of PI in n 126.125 * [backup-simplify]: Simplify PI into PI 126.125 * [taylor]: Taking taylor expansion of n in n 126.125 * [backup-simplify]: Simplify 0 into 0 126.125 * [backup-simplify]: Simplify 1 into 1 126.126 * [backup-simplify]: Simplify (/ PI 1) into PI 126.126 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 126.127 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 126.127 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 126.127 * [taylor]: Taking taylor expansion of (/ 1 k) in n 126.127 * [taylor]: Taking taylor expansion of k in n 126.127 * [backup-simplify]: Simplify k into k 126.127 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 126.127 * [taylor]: Taking taylor expansion of 1 in n 126.127 * [backup-simplify]: Simplify 1 into 1 126.128 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 126.128 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 126.128 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 126.129 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 126.130 * [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))))) 126.130 * [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)))))) 126.131 * [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))))))) 126.132 * [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))))))) 126.134 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 126.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 126.134 * [backup-simplify]: Simplify (+ 0 0) into 0 126.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 126.136 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 126.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 126.139 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 126.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 126.142 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 126.144 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 126.144 * [backup-simplify]: Simplify 0 into 0 126.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 126.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 126.151 * [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)))))) 126.151 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 126.151 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 126.151 * [taylor]: Taking taylor expansion of +nan.0 in n 126.151 * [backup-simplify]: Simplify +nan.0 into +nan.0 126.151 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 126.151 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 126.151 * [taylor]: Taking taylor expansion of 1/2 in n 126.151 * [backup-simplify]: Simplify 1/2 into 1/2 126.151 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 126.151 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 126.151 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 126.151 * [taylor]: Taking taylor expansion of -2 in n 126.151 * [backup-simplify]: Simplify -2 into -2 126.151 * [taylor]: Taking taylor expansion of (/ PI n) in n 126.151 * [taylor]: Taking taylor expansion of PI in n 126.151 * [backup-simplify]: Simplify PI into PI 126.151 * [taylor]: Taking taylor expansion of n in n 126.151 * [backup-simplify]: Simplify 0 into 0 126.151 * [backup-simplify]: Simplify 1 into 1 126.152 * [backup-simplify]: Simplify (/ PI 1) into PI 126.152 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 126.153 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 126.153 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 126.153 * [taylor]: Taking taylor expansion of (/ 1 k) in n 126.153 * [taylor]: Taking taylor expansion of k in n 126.153 * [backup-simplify]: Simplify k into k 126.153 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 126.153 * [taylor]: Taking taylor expansion of 1 in n 126.153 * [backup-simplify]: Simplify 1 into 1 126.155 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 126.155 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 126.156 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 126.157 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 126.158 * [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))))) 126.159 * [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)))))) 126.160 * [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))))))) 126.162 * [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))))))) 126.166 * [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)))))))))))) 126.166 * * * [progress]: simplifying candidates 126.166 * * * * [progress]: [ 1 / 307 ] simplifiying candidate # 126.166 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 126.166 * * [simplify]: iters left: 6 (13 enodes) 126.174 * * [simplify]: iters left: 5 (54 enodes) 126.191 * * [simplify]: iters left: 4 (97 enodes) 126.229 * * [simplify]: iters left: 3 (244 enodes) 126.348 * * [simplify]: Extracting #0: cost 1 inf + 0 126.348 * * [simplify]: Extracting #1: cost 31 inf + 0 126.348 * * [simplify]: Extracting #2: cost 128 inf + 2 126.350 * * [simplify]: Extracting #3: cost 162 inf + 1217 126.353 * * [simplify]: Extracting #4: cost 110 inf + 9712 126.366 * * [simplify]: Extracting #5: cost 12 inf + 38675 126.381 * * [simplify]: Extracting #6: cost 0 inf + 42408 126.399 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 126.399 * [simplify]: Simplified (2 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))))) 126.400 * * * * [progress]: [ 2 / 307 ] simplifiying candidate # 126.400 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 126.400 * * [simplify]: iters left: 6 (12 enodes) 126.408 * * [simplify]: iters left: 5 (52 enodes) 126.425 * * [simplify]: iters left: 4 (90 enodes) 126.457 * * [simplify]: iters left: 3 (203 enodes) 126.521 * * [simplify]: Extracting #0: cost 1 inf + 0 126.521 * * [simplify]: Extracting #1: cost 29 inf + 0 126.521 * * [simplify]: Extracting #2: cost 112 inf + 2 126.522 * * [simplify]: Extracting #3: cost 149 inf + 341 126.524 * * [simplify]: Extracting #4: cost 110 inf + 5554 126.531 * * [simplify]: Extracting #5: cost 30 inf + 23496 126.543 * * [simplify]: Extracting #6: cost 1 inf + 31878 126.555 * * [simplify]: Extracting #7: cost 0 inf + 32142 126.567 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 126.567 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2))))) 126.567 * * * * [progress]: [ 3 / 307 ] simplifiying candidate # 126.567 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 126.567 * * [simplify]: iters left: 6 (11 enodes) 126.574 * * [simplify]: iters left: 5 (51 enodes) 126.591 * * [simplify]: iters left: 4 (97 enodes) 126.624 * * [simplify]: iters left: 3 (199 enodes) 126.715 * * [simplify]: Extracting #0: cost 1 inf + 0 126.715 * * [simplify]: Extracting #1: cost 32 inf + 0 126.716 * * [simplify]: Extracting #2: cost 113 inf + 2 126.717 * * [simplify]: Extracting #3: cost 154 inf + 200 126.718 * * [simplify]: Extracting #4: cost 123 inf + 3386 126.724 * * [simplify]: Extracting #5: cost 47 inf + 17339 126.733 * * [simplify]: Extracting #6: cost 3 inf + 27690 126.744 * * [simplify]: Extracting #7: cost 0 inf + 28612 126.756 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 126.756 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))) 126.756 * * * * [progress]: [ 4 / 307 ] simplifiying candidate # 126.756 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 126.756 * * [simplify]: iters left: 6 (11 enodes) 126.766 * * [simplify]: iters left: 5 (51 enodes) 126.777 * * [simplify]: iters left: 4 (97 enodes) 126.794 * * [simplify]: iters left: 3 (199 enodes) 126.878 * * [simplify]: Extracting #0: cost 1 inf + 0 126.878 * * [simplify]: Extracting #1: cost 32 inf + 0 126.879 * * [simplify]: Extracting #2: cost 113 inf + 2 126.880 * * [simplify]: Extracting #3: cost 154 inf + 200 126.882 * * [simplify]: Extracting #4: cost 123 inf + 3386 126.885 * * [simplify]: Extracting #5: cost 47 inf + 17339 126.890 * * [simplify]: Extracting #6: cost 3 inf + 27690 126.896 * * [simplify]: Extracting #7: cost 0 inf + 28612 126.902 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 126.902 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))) 126.902 * * * * [progress]: [ 5 / 307 ] simplifiying candidate # 126.902 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 126.902 * * [simplify]: iters left: 6 (6 enodes) 126.905 * * [simplify]: iters left: 5 (27 enodes) 126.910 * * [simplify]: iters left: 4 (47 enodes) 126.917 * * [simplify]: iters left: 3 (59 enodes) 126.928 * * [simplify]: iters left: 2 (77 enodes) 126.951 * * [simplify]: iters left: 1 (104 enodes) 126.978 * * [simplify]: Extracting #0: cost 1 inf + 0 126.979 * * [simplify]: Extracting #1: cost 9 inf + 0 126.979 * * [simplify]: Extracting #2: cost 18 inf + 3 126.979 * * [simplify]: Extracting #3: cost 15 inf + 131 126.979 * * [simplify]: Extracting #4: cost 2 inf + 962 126.980 * * [simplify]: Extracting #5: cost 0 inf + 1086 126.981 * [simplify]: Simplified to (* 1/2 (- 1 k)) 126.981 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))))) 126.981 * * * * [progress]: [ 6 / 307 ] simplifiying candidate # 126.982 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 126.982 * * [simplify]: iters left: 6 (6 enodes) 126.986 * * [simplify]: iters left: 5 (27 enodes) 126.997 * * [simplify]: iters left: 4 (47 enodes) 127.011 * * [simplify]: iters left: 3 (59 enodes) 127.029 * * [simplify]: iters left: 2 (77 enodes) 127.051 * * [simplify]: iters left: 1 (104 enodes) 127.076 * * [simplify]: Extracting #0: cost 1 inf + 0 127.076 * * [simplify]: Extracting #1: cost 9 inf + 0 127.077 * * [simplify]: Extracting #2: cost 18 inf + 3 127.077 * * [simplify]: Extracting #3: cost 15 inf + 131 127.078 * * [simplify]: Extracting #4: cost 2 inf + 962 127.079 * * [simplify]: Extracting #5: cost 0 inf + 1086 127.079 * [simplify]: Simplified to (* 1/2 (- 1 k)) 127.080 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))))) 127.080 * * * * [progress]: [ 7 / 307 ] simplifiying candidate # 127.080 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 127.080 * * [simplify]: iters left: 6 (6 enodes) 127.084 * * [simplify]: iters left: 5 (27 enodes) 127.094 * * [simplify]: iters left: 4 (47 enodes) 127.109 * * [simplify]: iters left: 3 (59 enodes) 127.128 * * [simplify]: iters left: 2 (77 enodes) 127.140 * * [simplify]: iters left: 1 (104 enodes) 127.152 * * [simplify]: Extracting #0: cost 1 inf + 0 127.152 * * [simplify]: Extracting #1: cost 9 inf + 0 127.152 * * [simplify]: Extracting #2: cost 18 inf + 3 127.153 * * [simplify]: Extracting #3: cost 15 inf + 131 127.153 * * [simplify]: Extracting #4: cost 2 inf + 962 127.153 * * [simplify]: Extracting #5: cost 0 inf + 1086 127.154 * [simplify]: Simplified to (* 1/2 (- 1 k)) 127.154 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))))) 127.154 * * * * [progress]: [ 8 / 307 ] simplifiying candidate # 127.154 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 127.154 * * [simplify]: iters left: 5 (8 enodes) 127.157 * * [simplify]: iters left: 4 (35 enodes) 127.166 * * [simplify]: iters left: 3 (63 enodes) 127.179 * * [simplify]: iters left: 2 (108 enodes) 127.196 * * [simplify]: iters left: 1 (162 enodes) 127.249 * * [simplify]: Extracting #0: cost 1 inf + 0 127.249 * * [simplify]: Extracting #1: cost 12 inf + 0 127.249 * * [simplify]: Extracting #2: cost 40 inf + 2 127.249 * * [simplify]: Extracting #3: cost 40 inf + 9 127.250 * * [simplify]: Extracting #4: cost 25 inf + 2233 127.252 * * [simplify]: Extracting #5: cost 10 inf + 8991 127.255 * * [simplify]: Extracting #6: cost 0 inf + 14572 127.258 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 127.259 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (sqrt (* (* PI 2) n)) (pow (* n (* 2 PI)) (/ k 2)))))) 127.259 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 127.259 * * [simplify]: iters left: 5 (8 enodes) 127.263 * * [simplify]: iters left: 4 (31 enodes) 127.268 * * [simplify]: iters left: 3 (51 enodes) 127.276 * * [simplify]: iters left: 2 (85 enodes) 127.291 * * [simplify]: iters left: 1 (152 enodes) 127.326 * * [simplify]: Extracting #0: cost 1 inf + 0 127.327 * * [simplify]: Extracting #1: cost 13 inf + 0 127.327 * * [simplify]: Extracting #2: cost 60 inf + 1 127.327 * * [simplify]: Extracting #3: cost 75 inf + 9 127.328 * * [simplify]: Extracting #4: cost 41 inf + 3220 127.331 * * [simplify]: Extracting #5: cost 16 inf + 10552 127.337 * * [simplify]: Extracting #6: cost 0 inf + 20904 127.342 * * [simplify]: Extracting #7: cost 0 inf + 20373 127.347 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 127.348 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (sqrt (* (* PI 2) n)) (pow (* (* n 2) PI) (/ k 2)))))) 127.348 * * * * [progress]: [ 9 / 307 ] simplifiying candidate # 127.348 * [simplify]: Simplifying (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 127.348 * * [simplify]: iters left: 6 (12 enodes) 127.355 * * [simplify]: iters left: 5 (51 enodes) 127.371 * * [simplify]: iters left: 4 (79 enodes) 127.395 * * [simplify]: iters left: 3 (118 enodes) 127.431 * * [simplify]: iters left: 2 (199 enodes) 127.483 * * [simplify]: iters left: 1 (354 enodes) 127.637 * * [simplify]: Extracting #0: cost 1 inf + 0 127.637 * * [simplify]: Extracting #1: cost 27 inf + 0 127.637 * * [simplify]: Extracting #2: cost 112 inf + 1 127.638 * * [simplify]: Extracting #3: cost 194 inf + 175 127.639 * * [simplify]: Extracting #4: cost 203 inf + 429 127.640 * * [simplify]: Extracting #5: cost 208 inf + 429 127.641 * * [simplify]: Extracting #6: cost 200 inf + 1412 127.648 * * [simplify]: Extracting #7: cost 93 inf + 27530 127.675 * * [simplify]: Extracting #8: cost 23 inf + 71276 127.711 * * [simplify]: Extracting #9: cost 0 inf + 92839 127.751 * * [simplify]: Extracting #10: cost 0 inf + 91398 127.786 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 127.786 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))) 127.786 * * * * [progress]: [ 10 / 307 ] simplifiying candidate # 127.787 * [simplify]: Simplifying (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) 127.787 * * [simplify]: iters left: 6 (11 enodes) 127.793 * * [simplify]: iters left: 5 (48 enodes) 127.809 * * [simplify]: iters left: 4 (74 enodes) 127.832 * * [simplify]: iters left: 3 (105 enodes) 127.864 * * [simplify]: iters left: 2 (161 enodes) 127.921 * * [simplify]: iters left: 1 (278 enodes) 128.092 * * [simplify]: Extracting #0: cost 1 inf + 0 128.092 * * [simplify]: Extracting #1: cost 29 inf + 0 128.093 * * [simplify]: Extracting #2: cost 103 inf + 1 128.094 * * [simplify]: Extracting #3: cost 133 inf + 174 128.095 * * [simplify]: Extracting #4: cost 132 inf + 388 128.096 * * [simplify]: Extracting #5: cost 129 inf + 556 128.099 * * [simplify]: Extracting #6: cost 86 inf + 11351 128.104 * * [simplify]: Extracting #7: cost 50 inf + 25422 128.115 * * [simplify]: Extracting #8: cost 1 inf + 70565 128.130 * * [simplify]: Extracting #9: cost 0 inf + 71813 128.147 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) 128.147 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))) 128.147 * * * * [progress]: [ 11 / 307 ] simplifiying candidate # 128.147 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) 128.147 * * [simplify]: iters left: 6 (14 enodes) 128.151 * * [simplify]: iters left: 5 (59 enodes) 128.161 * * [simplify]: iters left: 4 (104 enodes) 128.182 * * [simplify]: iters left: 3 (186 enodes) 128.259 * * [simplify]: iters left: 2 (434 enodes) 128.514 * * [simplify]: Extracting #0: cost 1 inf + 0 128.514 * * [simplify]: Extracting #1: cost 12 inf + 0 128.515 * * [simplify]: Extracting #2: cost 112 inf + 1 128.517 * * [simplify]: Extracting #3: cost 232 inf + 215 128.519 * * [simplify]: Extracting #4: cost 230 inf + 1838 128.526 * * [simplify]: Extracting #5: cost 162 inf + 17856 128.547 * * [simplify]: Extracting #6: cost 33 inf + 62390 128.577 * * [simplify]: Extracting #7: cost 2 inf + 84429 128.608 * * [simplify]: Extracting #8: cost 0 inf + 84580 128.643 * * [simplify]: Extracting #9: cost 0 inf + 84291 128.673 * * [simplify]: Extracting #10: cost 0 inf + 84213 128.702 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 128.702 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))) 128.702 * * * * [progress]: [ 12 / 307 ] simplifiying candidate # 128.702 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) 128.702 * * [simplify]: iters left: 6 (13 enodes) 128.706 * * [simplify]: iters left: 5 (52 enodes) 128.714 * * [simplify]: iters left: 4 (82 enodes) 128.728 * * [simplify]: iters left: 3 (136 enodes) 128.776 * * [simplify]: iters left: 2 (272 enodes) 128.875 * * [simplify]: Extracting #0: cost 1 inf + 0 128.875 * * [simplify]: Extracting #1: cost 12 inf + 0 128.875 * * [simplify]: Extracting #2: cost 88 inf + 1 128.876 * * [simplify]: Extracting #3: cost 151 inf + 6 128.878 * * [simplify]: Extracting #4: cost 144 inf + 992 128.879 * * [simplify]: Extracting #5: cost 131 inf + 2339 128.885 * * [simplify]: Extracting #6: cost 59 inf + 21693 128.892 * * [simplify]: Extracting #7: cost 9 inf + 46808 128.902 * * [simplify]: Extracting #8: cost 0 inf + 55030 128.911 * * [simplify]: Extracting #9: cost 0 inf + 54610 128.921 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) 128.921 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) (sqrt 2)))))) 128.921 * * * * [progress]: [ 13 / 307 ] simplifiying candidate # 128.921 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 128.922 * * [simplify]: iters left: 6 (12 enodes) 128.926 * * [simplify]: iters left: 5 (47 enodes) 128.942 * * [simplify]: iters left: 4 (83 enodes) 128.969 * * [simplify]: iters left: 3 (123 enodes) 128.991 * * [simplify]: iters left: 2 (221 enodes) 129.047 * * [simplify]: iters left: 1 (473 enodes) 129.366 * * [simplify]: Extracting #0: cost 1 inf + 0 129.367 * * [simplify]: Extracting #1: cost 34 inf + 0 129.367 * * [simplify]: Extracting #2: cost 135 inf + 1 129.368 * * [simplify]: Extracting #3: cost 212 inf + 136 129.369 * * [simplify]: Extracting #4: cost 213 inf + 431 129.370 * * [simplify]: Extracting #5: cost 211 inf + 515 129.373 * * [simplify]: Extracting #6: cost 142 inf + 14322 129.390 * * [simplify]: Extracting #7: cost 51 inf + 52633 129.412 * * [simplify]: Extracting #8: cost 11 inf + 89338 129.432 * * [simplify]: Extracting #9: cost 0 inf + 103865 129.450 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) 129.450 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2))))) 129.450 * * * * [progress]: [ 14 / 307 ] simplifiying candidate # 129.451 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 129.451 * * [simplify]: iters left: 6 (13 enodes) 129.455 * * [simplify]: iters left: 5 (52 enodes) 129.465 * * [simplify]: iters left: 4 (80 enodes) 129.483 * * [simplify]: iters left: 3 (128 enodes) 129.505 * * [simplify]: iters left: 2 (246 enodes) 129.583 * * [simplify]: iters left: 1 (489 enodes) 129.944 * * [simplify]: Extracting #0: cost 1 inf + 0 129.944 * * [simplify]: Extracting #1: cost 30 inf + 0 129.944 * * [simplify]: Extracting #2: cost 204 inf + 1 129.946 * * [simplify]: Extracting #3: cost 422 inf + 743 129.949 * * [simplify]: Extracting #4: cost 379 inf + 9404 129.952 * * [simplify]: Extracting #5: cost 350 inf + 14022 129.968 * * [simplify]: Extracting #6: cost 172 inf + 57888 130.006 * * [simplify]: Extracting #7: cost 16 inf + 135359 130.036 * * [simplify]: Extracting #8: cost 0 inf + 150451 130.077 * * [simplify]: Extracting #9: cost 0 inf + 149971 130.114 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) 130.114 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (/ (sqrt (- 1 k)) (cbrt 2)))))) 130.114 * * * * [progress]: [ 15 / 307 ] simplifiying candidate # 130.114 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) 130.115 * * [simplify]: iters left: 6 (12 enodes) 130.121 * * [simplify]: iters left: 5 (47 enodes) 130.132 * * [simplify]: iters left: 4 (71 enodes) 130.145 * * [simplify]: iters left: 3 (109 enodes) 130.165 * * [simplify]: iters left: 2 (192 enodes) 130.234 * * [simplify]: iters left: 1 (357 enodes) 130.453 * * [simplify]: Extracting #0: cost 1 inf + 0 130.453 * * [simplify]: Extracting #1: cost 29 inf + 0 130.454 * * [simplify]: Extracting #2: cost 135 inf + 1 130.456 * * [simplify]: Extracting #3: cost 251 inf + 255 130.459 * * [simplify]: Extracting #4: cost 225 inf + 3400 130.462 * * [simplify]: Extracting #5: cost 205 inf + 5445 130.467 * * [simplify]: Extracting #6: cost 122 inf + 23316 130.477 * * [simplify]: Extracting #7: cost 43 inf + 53612 130.495 * * [simplify]: Extracting #8: cost 2 inf + 92427 130.520 * * [simplify]: Extracting #9: cost 0 inf + 94805 130.538 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 130.538 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))) 130.538 * * * * [progress]: [ 16 / 307 ] simplifiying candidate # 130.539 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) 130.539 * * [simplify]: iters left: 6 (11 enodes) 130.545 * * [simplify]: iters left: 5 (42 enodes) 130.558 * * [simplify]: iters left: 4 (64 enodes) 130.579 * * [simplify]: iters left: 3 (98 enodes) 130.610 * * [simplify]: iters left: 2 (156 enodes) 130.663 * * [simplify]: iters left: 1 (280 enodes) 130.757 * * [simplify]: Extracting #0: cost 1 inf + 0 130.757 * * [simplify]: Extracting #1: cost 30 inf + 0 130.757 * * [simplify]: Extracting #2: cost 110 inf + 1 130.758 * * [simplify]: Extracting #3: cost 133 inf + 133 130.759 * * [simplify]: Extracting #4: cost 128 inf + 429 130.759 * * [simplify]: Extracting #5: cost 118 inf + 1666 130.762 * * [simplify]: Extracting #6: cost 62 inf + 21931 130.771 * * [simplify]: Extracting #7: cost 7 inf + 67089 130.788 * * [simplify]: Extracting #8: cost 0 inf + 70630 130.808 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (- 1 k))) 130.808 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2))))) 130.808 * * * * [progress]: [ 17 / 307 ] simplifiying candidate # 130.809 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 130.809 * * [simplify]: iters left: 6 (10 enodes) 130.813 * * [simplify]: iters left: 5 (41 enodes) 131.190 * * [simplify]: iters left: 4 (66 enodes) 131.203 * * [simplify]: iters left: 3 (116 enodes) 131.245 * * [simplify]: iters left: 2 (219 enodes) 131.332 * * [simplify]: iters left: 1 (499 enodes) 131.700 * * [simplify]: Extracting #0: cost 1 inf + 0 131.701 * * [simplify]: Extracting #1: cost 35 inf + 0 131.701 * * [simplify]: Extracting #2: cost 129 inf + 1 131.703 * * [simplify]: Extracting #3: cost 198 inf + 827 131.709 * * [simplify]: Extracting #4: cost 122 inf + 18089 131.719 * * [simplify]: Extracting #5: cost 25 inf + 62444 131.735 * * [simplify]: Extracting #6: cost 0 inf + 84055 131.758 * * [simplify]: Extracting #7: cost 0 inf + 83884 131.789 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 131.790 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 131.790 * * * * [progress]: [ 18 / 307 ] simplifiying candidate # 131.790 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 131.790 * * [simplify]: iters left: 5 (9 enodes) 131.795 * * [simplify]: iters left: 4 (36 enodes) 131.801 * * [simplify]: iters left: 3 (57 enodes) 131.814 * * [simplify]: iters left: 2 (96 enodes) 131.832 * * [simplify]: iters left: 1 (171 enodes) 131.870 * * [simplify]: Extracting #0: cost 1 inf + 0 131.871 * * [simplify]: Extracting #1: cost 12 inf + 0 131.871 * * [simplify]: Extracting #2: cost 50 inf + 1 131.871 * * [simplify]: Extracting #3: cost 73 inf + 6 131.871 * * [simplify]: Extracting #4: cost 58 inf + 1463 131.873 * * [simplify]: Extracting #5: cost 24 inf + 7936 131.876 * * [simplify]: Extracting #6: cost 2 inf + 20820 131.883 * * [simplify]: Extracting #7: cost 0 inf + 22437 131.892 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 131.892 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 131.892 * * * * [progress]: [ 19 / 307 ] simplifiying candidate # 131.893 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 131.893 * * [simplify]: iters left: 5 (8 enodes) 131.899 * * [simplify]: iters left: 4 (34 enodes) 131.913 * * [simplify]: iters left: 3 (64 enodes) 131.933 * * [simplify]: iters left: 2 (105 enodes) 131.953 * * [simplify]: iters left: 1 (177 enodes) 131.990 * * [simplify]: Extracting #0: cost 1 inf + 0 131.990 * * [simplify]: Extracting #1: cost 17 inf + 0 131.990 * * [simplify]: Extracting #2: cost 34 inf + 46 131.990 * * [simplify]: Extracting #3: cost 26 inf + 466 131.991 * * [simplify]: Extracting #4: cost 11 inf + 6543 131.992 * * [simplify]: Extracting #5: cost 1 inf + 10885 131.994 * * [simplify]: Extracting #6: cost 0 inf + 11179 131.995 * [simplify]: Simplified to (* (* PI 2) n) 131.995 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 131.995 * * * * [progress]: [ 20 / 307 ] simplifiying candidate # 131.995 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) 131.995 * * [simplify]: iters left: 6 (14 enodes) 132.000 * * [simplify]: iters left: 5 (54 enodes) 132.015 * * [simplify]: iters left: 4 (79 enodes) 132.039 * * [simplify]: iters left: 3 (128 enodes) 132.080 * * [simplify]: iters left: 2 (254 enodes) 132.161 * * [simplify]: Extracting #0: cost 1 inf + 0 132.162 * * [simplify]: Extracting #1: cost 12 inf + 0 132.162 * * [simplify]: Extracting #2: cost 77 inf + 1 132.163 * * [simplify]: Extracting #3: cost 138 inf + 6 132.164 * * [simplify]: Extracting #4: cost 119 inf + 2891 132.166 * * [simplify]: Extracting #5: cost 99 inf + 5644 132.172 * * [simplify]: Extracting #6: cost 51 inf + 18419 132.181 * * [simplify]: Extracting #7: cost 9 inf + 40691 132.190 * * [simplify]: Extracting #8: cost 1 inf + 49261 132.198 * * [simplify]: Extracting #9: cost 0 inf + 50208 132.210 * * [simplify]: Extracting #10: cost 0 inf + 50077 132.222 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 132.223 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))) 132.223 * * * * [progress]: [ 21 / 307 ] simplifiying candidate # 132.223 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) 132.223 * * [simplify]: iters left: 6 (13 enodes) 132.228 * * [simplify]: iters left: 5 (49 enodes) 132.236 * * [simplify]: iters left: 4 (70 enodes) 132.248 * * [simplify]: iters left: 3 (109 enodes) 132.285 * * [simplify]: iters left: 2 (197 enodes) 132.333 * * [simplify]: iters left: 1 (357 enodes) 132.508 * * [simplify]: Extracting #0: cost 1 inf + 0 132.508 * * [simplify]: Extracting #1: cost 28 inf + 0 132.509 * * [simplify]: Extracting #2: cost 146 inf + 1 132.511 * * [simplify]: Extracting #3: cost 239 inf + 259 132.513 * * [simplify]: Extracting #4: cost 243 inf + 429 132.516 * * [simplify]: Extracting #5: cost 195 inf + 6376 132.529 * * [simplify]: Extracting #6: cost 76 inf + 35704 132.554 * * [simplify]: Extracting #7: cost 17 inf + 74273 132.588 * * [simplify]: Extracting #8: cost 0 inf + 91451 132.623 * * [simplify]: Extracting #9: cost 0 inf + 90789 132.640 * * [simplify]: Extracting #10: cost 0 inf + 90459 132.659 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 132.659 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))) 132.659 * * * * [progress]: [ 22 / 307 ] simplifiying candidate # 132.659 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) 132.660 * * [simplify]: iters left: 6 (12 enodes) 132.667 * * [simplify]: iters left: 5 (44 enodes) 132.680 * * [simplify]: iters left: 4 (63 enodes) 132.700 * * [simplify]: iters left: 3 (96 enodes) 132.732 * * [simplify]: iters left: 2 (161 enodes) 132.790 * * [simplify]: iters left: 1 (288 enodes) 132.941 * * [simplify]: Extracting #0: cost 1 inf + 0 132.941 * * [simplify]: Extracting #1: cost 29 inf + 0 132.942 * * [simplify]: Extracting #2: cost 96 inf + 1 132.943 * * [simplify]: Extracting #3: cost 129 inf + 215 132.944 * * [simplify]: Extracting #4: cost 121 inf + 594 132.947 * * [simplify]: Extracting #5: cost 77 inf + 9882 132.957 * * [simplify]: Extracting #6: cost 29 inf + 35322 132.974 * * [simplify]: Extracting #7: cost 0 inf + 61789 132.991 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 132.992 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- (sqrt 1) (sqrt k)) 2))))) 132.992 * * * * [progress]: [ 23 / 307 ] simplifiying candidate # 132.992 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 132.992 * * [simplify]: iters left: 6 (13 enodes) 133.004 * * [simplify]: iters left: 5 (51 enodes) 133.019 * * [simplify]: iters left: 4 (76 enodes) 133.043 * * [simplify]: iters left: 3 (124 enodes) 133.087 * * [simplify]: iters left: 2 (250 enodes) 133.187 * * [simplify]: Extracting #0: cost 1 inf + 0 133.188 * * [simplify]: Extracting #1: cost 13 inf + 0 133.188 * * [simplify]: Extracting #2: cost 76 inf + 1 133.188 * * [simplify]: Extracting #3: cost 135 inf + 209 133.189 * * [simplify]: Extracting #4: cost 120 inf + 2806 133.190 * * [simplify]: Extracting #5: cost 101 inf + 5276 133.192 * * [simplify]: Extracting #6: cost 81 inf + 11120 133.196 * * [simplify]: Extracting #7: cost 26 inf + 32887 133.204 * * [simplify]: Extracting #8: cost 2 inf + 46287 133.212 * * [simplify]: Extracting #9: cost 0 inf + 47832 133.226 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 133.226 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 133.227 * * * * [progress]: [ 24 / 307 ] simplifiying candidate # 133.227 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) 133.227 * * [simplify]: iters left: 6 (12 enodes) 133.231 * * [simplify]: iters left: 5 (46 enodes) 133.238 * * [simplify]: iters left: 4 (67 enodes) 133.252 * * [simplify]: iters left: 3 (106 enodes) 133.276 * * [simplify]: iters left: 2 (197 enodes) 133.320 * * [simplify]: iters left: 1 (359 enodes) 133.553 * * [simplify]: Extracting #0: cost 1 inf + 0 133.553 * * [simplify]: Extracting #1: cost 30 inf + 0 133.554 * * [simplify]: Extracting #2: cost 139 inf + 1 133.561 * * [simplify]: Extracting #3: cost 235 inf + 257 133.563 * * [simplify]: Extracting #4: cost 220 inf + 2339 133.567 * * [simplify]: Extracting #5: cost 191 inf + 6458 133.580 * * [simplify]: Extracting #6: cost 79 inf + 40757 133.599 * * [simplify]: Extracting #7: cost 5 inf + 90679 133.616 * * [simplify]: Extracting #8: cost 0 inf + 92759 133.631 * * [simplify]: Extracting #9: cost 0 inf + 92308 133.648 * * [simplify]: Extracting #10: cost 0 inf + 92268 133.675 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 133.675 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 133.675 * * * * [progress]: [ 25 / 307 ] simplifiying candidate # 133.675 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 133.676 * * [simplify]: iters left: 6 (11 enodes) 133.682 * * [simplify]: iters left: 5 (41 enodes) 133.694 * * [simplify]: iters left: 4 (60 enodes) 133.711 * * [simplify]: iters left: 3 (94 enodes) 133.727 * * [simplify]: iters left: 2 (156 enodes) 133.776 * * [simplify]: iters left: 1 (285 enodes) 133.943 * * [simplify]: Extracting #0: cost 1 inf + 0 133.943 * * [simplify]: Extracting #1: cost 29 inf + 0 133.944 * * [simplify]: Extracting #2: cost 101 inf + 1 133.945 * * [simplify]: Extracting #3: cost 132 inf + 216 133.946 * * [simplify]: Extracting #4: cost 126 inf + 470 133.951 * * [simplify]: Extracting #5: cost 66 inf + 20430 133.967 * * [simplify]: Extracting #6: cost 14 inf + 52746 133.988 * * [simplify]: Extracting #7: cost 0 inf + 65165 134.007 * * [simplify]: Extracting #8: cost 0 inf + 64766 134.021 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 134.021 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 134.021 * * * * [progress]: [ 26 / 307 ] simplifiying candidate # 134.021 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 134.021 * * [simplify]: iters left: 6 (10 enodes) 134.027 * * [simplify]: iters left: 5 (41 enodes) 134.035 * * [simplify]: iters left: 4 (66 enodes) 134.046 * * [simplify]: iters left: 3 (116 enodes) 134.076 * * [simplify]: iters left: 2 (219 enodes) 134.164 * * [simplify]: iters left: 1 (499 enodes) 134.598 * * [simplify]: Extracting #0: cost 1 inf + 0 134.599 * * [simplify]: Extracting #1: cost 35 inf + 0 134.599 * * [simplify]: Extracting #2: cost 129 inf + 1 134.601 * * [simplify]: Extracting #3: cost 198 inf + 827 134.608 * * [simplify]: Extracting #4: cost 122 inf + 18089 134.629 * * [simplify]: Extracting #5: cost 25 inf + 62444 134.644 * * [simplify]: Extracting #6: cost 0 inf + 84055 134.660 * * [simplify]: Extracting #7: cost 0 inf + 83884 134.676 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 134.676 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 134.676 * * * * [progress]: [ 27 / 307 ] simplifiying candidate # 134.677 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 134.677 * * [simplify]: iters left: 5 (9 enodes) 134.680 * * [simplify]: iters left: 4 (36 enodes) 134.689 * * [simplify]: iters left: 3 (57 enodes) 134.708 * * [simplify]: iters left: 2 (96 enodes) 134.742 * * [simplify]: iters left: 1 (171 enodes) 134.812 * * [simplify]: Extracting #0: cost 1 inf + 0 134.812 * * [simplify]: Extracting #1: cost 12 inf + 0 134.813 * * [simplify]: Extracting #2: cost 50 inf + 1 134.813 * * [simplify]: Extracting #3: cost 73 inf + 6 134.814 * * [simplify]: Extracting #4: cost 58 inf + 1463 134.817 * * [simplify]: Extracting #5: cost 24 inf + 7936 134.822 * * [simplify]: Extracting #6: cost 2 inf + 20820 134.832 * * [simplify]: Extracting #7: cost 0 inf + 22437 134.839 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 134.839 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 134.839 * * * * [progress]: [ 28 / 307 ] simplifiying candidate # 134.840 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 134.840 * * [simplify]: iters left: 5 (8 enodes) 134.846 * * [simplify]: iters left: 4 (34 enodes) 134.854 * * [simplify]: iters left: 3 (64 enodes) 134.866 * * [simplify]: iters left: 2 (105 enodes) 134.887 * * [simplify]: iters left: 1 (177 enodes) 134.946 * * [simplify]: Extracting #0: cost 1 inf + 0 134.946 * * [simplify]: Extracting #1: cost 17 inf + 0 134.946 * * [simplify]: Extracting #2: cost 34 inf + 46 134.946 * * [simplify]: Extracting #3: cost 26 inf + 466 134.947 * * [simplify]: Extracting #4: cost 11 inf + 6543 134.948 * * [simplify]: Extracting #5: cost 1 inf + 10885 134.949 * * [simplify]: Extracting #6: cost 0 inf + 11179 134.951 * [simplify]: Simplified to (* (* PI 2) n) 134.951 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 134.951 * * * * [progress]: [ 29 / 307 ] simplifiying candidate # 134.951 * [simplify]: Simplifying (pow (* n (* 2 PI)) 1) 134.951 * * [simplify]: iters left: 5 (7 enodes) 134.954 * * [simplify]: iters left: 4 (30 enodes) 134.961 * * [simplify]: iters left: 3 (58 enodes) 134.981 * * [simplify]: iters left: 2 (99 enodes) 135.015 * * [simplify]: iters left: 1 (171 enodes) 135.070 * * [simplify]: Extracting #0: cost 1 inf + 0 135.070 * * [simplify]: Extracting #1: cost 18 inf + 0 135.070 * * [simplify]: Extracting #2: cost 35 inf + 46 135.071 * * [simplify]: Extracting #3: cost 25 inf + 1347 135.071 * * [simplify]: Extracting #4: cost 14 inf + 5442 135.073 * * [simplify]: Extracting #5: cost 7 inf + 7909 135.074 * * [simplify]: Extracting #6: cost 0 inf + 11764 135.076 * [simplify]: Simplified to (* (* PI 2) n) 135.076 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 135.076 * * * * [progress]: [ 30 / 307 ] simplifiying candidate # 135.076 * [simplify]: Simplifying (pow (* n (* 2 PI)) (- 1 k)) 135.076 * * [simplify]: iters left: 5 (9 enodes) 135.079 * * [simplify]: iters left: 4 (38 enodes) 135.087 * * [simplify]: iters left: 3 (64 enodes) 135.107 * * [simplify]: iters left: 2 (102 enodes) 135.141 * * [simplify]: iters left: 1 (175 enodes) 135.179 * * [simplify]: Extracting #0: cost 1 inf + 0 135.179 * * [simplify]: Extracting #1: cost 13 inf + 0 135.179 * * [simplify]: Extracting #2: cost 59 inf + 1 135.180 * * [simplify]: Extracting #3: cost 82 inf + 132 135.182 * * [simplify]: Extracting #4: cost 45 inf + 4647 135.184 * * [simplify]: Extracting #5: cost 14 inf + 14753 135.188 * * [simplify]: Extracting #6: cost 1 inf + 22775 135.191 * * [simplify]: Extracting #7: cost 0 inf + 23442 135.195 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1 k)) 135.195 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (- 1 k)) (/ 1 2))))) 135.195 * * * * [progress]: [ 31 / 307 ] simplifiying candidate # 135.195 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 135.195 * * [simplify]: iters left: 5 (7 enodes) 135.198 * * [simplify]: iters left: 4 (32 enodes) 135.204 * * [simplify]: iters left: 3 (57 enodes) 135.214 * * [simplify]: iters left: 2 (90 enodes) 135.244 * * [simplify]: iters left: 1 (170 enodes) 135.297 * * [simplify]: Extracting #0: cost 1 inf + 0 135.297 * * [simplify]: Extracting #1: cost 13 inf + 0 135.297 * * [simplify]: Extracting #2: cost 55 inf + 2 135.297 * * [simplify]: Extracting #3: cost 88 inf + 6 135.298 * * [simplify]: Extracting #4: cost 77 inf + 1344 135.300 * * [simplify]: Extracting #5: cost 20 inf + 14540 135.303 * * [simplify]: Extracting #6: cost 1 inf + 21921 135.307 * * [simplify]: Extracting #7: cost 0 inf + 21176 135.315 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 135.315 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 135.315 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 135.316 * * [simplify]: iters left: 5 (8 enodes) 135.321 * * [simplify]: iters left: 4 (36 enodes) 135.333 * * [simplify]: iters left: 3 (57 enodes) 135.352 * * [simplify]: iters left: 2 (92 enodes) 135.393 * * [simplify]: iters left: 1 (188 enodes) 135.442 * * [simplify]: Extracting #0: cost 1 inf + 0 135.442 * * [simplify]: Extracting #1: cost 13 inf + 0 135.442 * * [simplify]: Extracting #2: cost 58 inf + 1 135.442 * * [simplify]: Extracting #3: cost 91 inf + 6 135.443 * * [simplify]: Extracting #4: cost 84 inf + 1386 135.444 * * [simplify]: Extracting #5: cost 34 inf + 8646 135.448 * * [simplify]: Extracting #6: cost 1 inf + 23512 135.455 * * [simplify]: Extracting #7: cost 0 inf + 24388 135.462 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 135.462 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 135.463 * * * * [progress]: [ 32 / 307 ] simplifiying candidate # 135.463 * * * * [progress]: [ 33 / 307 ] simplifiying candidate # 135.463 * [simplify]: Simplifying (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 135.463 * * [simplify]: iters left: 6 (11 enodes) 135.470 * * [simplify]: iters left: 5 (50 enodes) 135.487 * * [simplify]: iters left: 4 (97 enodes) 135.518 * * [simplify]: iters left: 3 (196 enodes) 135.580 * * [simplify]: Extracting #0: cost 1 inf + 0 135.581 * * [simplify]: Extracting #1: cost 46 inf + 0 135.581 * * [simplify]: Extracting #2: cost 129 inf + 1 135.582 * * [simplify]: Extracting #3: cost 177 inf + 448 135.586 * * [simplify]: Extracting #4: cost 122 inf + 10236 135.595 * * [simplify]: Extracting #5: cost 25 inf + 29555 135.607 * * [simplify]: Extracting #6: cost 1 inf + 37116 135.618 * * [simplify]: Extracting #7: cost 0 inf + 37231 135.628 * [simplify]: Simplified to (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) 135.628 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))))))) 135.628 * * * * [progress]: [ 34 / 307 ] simplifiying candidate # 135.628 * [simplify]: Simplifying (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 135.629 * * [simplify]: iters left: 6 (11 enodes) 135.632 * * [simplify]: iters left: 5 (48 enodes) 135.641 * * [simplify]: iters left: 4 (79 enodes) 135.656 * * [simplify]: iters left: 3 (127 enodes) 135.701 * * [simplify]: iters left: 2 (246 enodes) 135.795 * * [simplify]: iters left: 1 (490 enodes) 135.984 * * [simplify]: Extracting #0: cost 1 inf + 0 135.984 * * [simplify]: Extracting #1: cost 26 inf + 0 135.984 * * [simplify]: Extracting #2: cost 134 inf + 0 135.985 * * [simplify]: Extracting #3: cost 269 inf + 4 135.986 * * [simplify]: Extracting #4: cost 291 inf + 182 135.988 * * [simplify]: Extracting #5: cost 280 inf + 1261 135.991 * * [simplify]: Extracting #6: cost 195 inf + 17556 136.001 * * [simplify]: Extracting #7: cost 79 inf + 87620 136.022 * * [simplify]: Extracting #8: cost 2 inf + 149503 136.045 * * [simplify]: Extracting #9: cost 0 inf + 148481 136.066 * [simplify]: Simplified to (exp (pow (* (* PI 2) n) (/ (- 1 k) 2))) 136.066 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (log (exp (pow (* (* PI 2) n) (/ (- 1 k) 2))))))) 136.066 * * * * [progress]: [ 35 / 307 ] simplifiying candidate # 136.066 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 136.067 * * [simplify]: iters left: 6 (12 enodes) 136.070 * * [simplify]: iters left: 5 (51 enodes) 136.081 * * [simplify]: iters left: 4 (84 enodes) 136.107 * * [simplify]: iters left: 3 (127 enodes) 136.150 * * [simplify]: iters left: 2 (212 enodes) 136.201 * * [simplify]: iters left: 1 (389 enodes) 136.345 * * [simplify]: Extracting #0: cost 1 inf + 0 136.345 * * [simplify]: Extracting #1: cost 3 inf + 0 136.345 * * [simplify]: Extracting #2: cost 5 inf + 0 136.345 * * [simplify]: Extracting #3: cost 34 inf + 0 136.346 * * [simplify]: Extracting #4: cost 116 inf + 1 136.347 * * [simplify]: Extracting #5: cost 167 inf + 176 136.349 * * [simplify]: Extracting #6: cost 161 inf + 1057 136.353 * * [simplify]: Extracting #7: cost 90 inf + 12763 136.363 * * [simplify]: Extracting #8: cost 46 inf + 28892 136.380 * * [simplify]: Extracting #9: cost 3 inf + 67650 136.401 * * [simplify]: Extracting #10: cost 0 inf + 68411 136.420 * * [simplify]: Extracting #11: cost 0 inf + 68280 136.430 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 136.430 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 136.431 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 136.431 * * [simplify]: iters left: 6 (11 enodes) 136.434 * * [simplify]: iters left: 5 (48 enodes) 136.444 * * [simplify]: iters left: 4 (77 enodes) 136.457 * * [simplify]: iters left: 3 (120 enodes) 136.501 * * [simplify]: iters left: 2 (218 enodes) 136.581 * * [simplify]: iters left: 1 (392 enodes) 136.733 * * [simplify]: Extracting #0: cost 1 inf + 0 136.734 * * [simplify]: Extracting #1: cost 3 inf + 0 136.734 * * [simplify]: Extracting #2: cost 32 inf + 0 136.734 * * [simplify]: Extracting #3: cost 113 inf + 1 136.735 * * [simplify]: Extracting #4: cost 183 inf + 176 136.736 * * [simplify]: Extracting #5: cost 174 inf + 1097 136.738 * * [simplify]: Extracting #6: cost 106 inf + 9497 136.744 * * [simplify]: Extracting #7: cost 36 inf + 40825 136.759 * * [simplify]: Extracting #8: cost 0 inf + 71678 136.779 * * [simplify]: Extracting #9: cost 0 inf + 68829 136.799 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 136.799 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (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)))))))) 136.799 * * * * [progress]: [ 36 / 307 ] simplifiying candidate # 136.799 * [simplify]: Simplifying (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 136.800 * * [simplify]: iters left: 6 (12 enodes) 136.804 * * [simplify]: iters left: 5 (54 enodes) 136.813 * * [simplify]: iters left: 4 (107 enodes) 136.845 * * [simplify]: iters left: 3 (222 enodes) 136.907 * * [simplify]: iters left: 2 (473 enodes) 137.197 * * [simplify]: Extracting #0: cost 1 inf + 0 137.197 * * [simplify]: Extracting #1: cost 47 inf + 0 137.198 * * [simplify]: Extracting #2: cost 135 inf + 3 137.199 * * [simplify]: Extracting #3: cost 187 inf + 5 137.200 * * [simplify]: Extracting #4: cost 188 inf + 971 137.204 * * [simplify]: Extracting #5: cost 113 inf + 24576 137.222 * * [simplify]: Extracting #6: cost 43 inf + 80064 137.248 * * [simplify]: Extracting #7: cost 0 inf + 119576 137.270 * * [simplify]: Extracting #8: cost 0 inf + 118703 137.311 * * [simplify]: Extracting #9: cost 0 inf + 115578 137.343 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3) 137.343 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (cbrt (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3))))) 137.343 * * * * [progress]: [ 37 / 307 ] simplifiying candidate # 137.343 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 137.343 * * [simplify]: iters left: 6 (11 enodes) 137.347 * * [simplify]: iters left: 5 (48 enodes) 137.355 * * [simplify]: iters left: 4 (78 enodes) 137.371 * * [simplify]: iters left: 3 (122 enodes) 137.412 * * [simplify]: iters left: 2 (223 enodes) 137.494 * * [simplify]: iters left: 1 (408 enodes) 137.632 * * [simplify]: Extracting #0: cost 1 inf + 0 137.632 * * [simplify]: Extracting #1: cost 4 inf + 0 137.632 * * [simplify]: Extracting #2: cost 37 inf + 0 137.633 * * [simplify]: Extracting #3: cost 135 inf + 1 137.634 * * [simplify]: Extracting #4: cost 179 inf + 220 137.637 * * [simplify]: Extracting #5: cost 155 inf + 2713 137.644 * * [simplify]: Extracting #6: cost 71 inf + 16900 137.662 * * [simplify]: Extracting #7: cost 20 inf + 50066 137.688 * * [simplify]: Extracting #8: cost 0 inf + 69765 137.712 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 137.712 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 137.713 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 137.713 * * [simplify]: iters left: 6 (11 enodes) 137.719 * * [simplify]: iters left: 5 (48 enodes) 137.734 * * [simplify]: iters left: 4 (78 enodes) 137.758 * * [simplify]: iters left: 3 (122 enodes) 137.780 * * [simplify]: iters left: 2 (223 enodes) 137.821 * * [simplify]: iters left: 1 (408 enodes) 137.938 * * [simplify]: Extracting #0: cost 1 inf + 0 137.938 * * [simplify]: Extracting #1: cost 4 inf + 0 137.938 * * [simplify]: Extracting #2: cost 37 inf + 0 137.939 * * [simplify]: Extracting #3: cost 135 inf + 1 137.940 * * [simplify]: Extracting #4: cost 179 inf + 220 137.941 * * [simplify]: Extracting #5: cost 155 inf + 2713 137.945 * * [simplify]: Extracting #6: cost 71 inf + 16900 137.958 * * [simplify]: Extracting #7: cost 20 inf + 50066 137.971 * * [simplify]: Extracting #8: cost 0 inf + 69765 137.989 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 137.989 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))) 137.989 * * * * [progress]: [ 38 / 307 ] simplifiying candidate # 137.989 * * * * [progress]: [ 39 / 307 ] simplifiying candidate # 137.990 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 137.990 * * [simplify]: iters left: 6 (11 enodes) 137.997 * * [simplify]: iters left: 5 (51 enodes) 138.015 * * [simplify]: iters left: 4 (87 enodes) 138.045 * * [simplify]: iters left: 3 (146 enodes) 138.077 * * [simplify]: iters left: 2 (263 enodes) 138.152 * * [simplify]: iters left: 1 (485 enodes) 138.339 * * [simplify]: Extracting #0: cost 1 inf + 0 138.339 * * [simplify]: Extracting #1: cost 27 inf + 0 138.340 * * [simplify]: Extracting #2: cost 108 inf + 1 138.341 * * [simplify]: Extracting #3: cost 195 inf + 178 138.342 * * [simplify]: Extracting #4: cost 186 inf + 1642 138.345 * * [simplify]: Extracting #5: cost 87 inf + 19304 138.355 * * [simplify]: Extracting #6: cost 11 inf + 54080 138.366 * * [simplify]: Extracting #7: cost 0 inf + 61765 138.377 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 138.378 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 138.378 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 138.378 * * [simplify]: iters left: 6 (11 enodes) 138.382 * * [simplify]: iters left: 5 (51 enodes) 138.396 * * [simplify]: iters left: 4 (87 enodes) 138.427 * * [simplify]: iters left: 3 (146 enodes) 138.464 * * [simplify]: iters left: 2 (263 enodes) 138.535 * * [simplify]: iters left: 1 (485 enodes) 138.764 * * [simplify]: Extracting #0: cost 1 inf + 0 138.764 * * [simplify]: Extracting #1: cost 27 inf + 0 138.765 * * [simplify]: Extracting #2: cost 108 inf + 1 138.766 * * [simplify]: Extracting #3: cost 195 inf + 178 138.768 * * [simplify]: Extracting #4: cost 186 inf + 1642 138.776 * * [simplify]: Extracting #5: cost 87 inf + 19304 138.795 * * [simplify]: Extracting #6: cost 11 inf + 54080 138.821 * * [simplify]: Extracting #7: cost 0 inf + 61765 138.841 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 138.842 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1/4 (- 1 k))))))) 138.842 * * * * [progress]: [ 40 / 307 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 138.842 * [simplify]: Simplifying (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 138.842 * * [simplify]: iters left: 6 (11 enodes) 138.845 * * [simplify]: iters left: 5 (45 enodes) 138.853 * * [simplify]: iters left: 4 (74 enodes) 138.866 * * [simplify]: iters left: 3 (118 enodes) 138.903 * * [simplify]: iters left: 2 (216 enodes) 138.948 * * [simplify]: iters left: 1 (387 enodes) 139.095 * * [simplify]: Extracting #0: cost 1 inf + 0 139.095 * * [simplify]: Extracting #1: cost 2 inf + 0 139.095 * * [simplify]: Extracting #2: cost 28 inf + 0 139.096 * * [simplify]: Extracting #3: cost 106 inf + 1 139.096 * * [simplify]: Extracting #4: cost 165 inf + 218 139.100 * * [simplify]: Extracting #5: cost 163 inf + 644 139.102 * * [simplify]: Extracting #6: cost 97 inf + 9320 139.108 * * [simplify]: Extracting #7: cost 31 inf + 38445 139.126 * * [simplify]: Extracting #8: cost 0 inf + 62881 139.147 * * [simplify]: Extracting #9: cost 0 inf + 62681 139.167 * [simplify]: Simplified to (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) 139.168 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (posit16->real (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k)))))))) 139.168 * * * * [progress]: [ 41 / 307 ] simplifiying candidate # 139.168 * [simplify]: Simplifying (* n (* 2 PI)) 139.168 * * [simplify]: iters left: 4 (5 enodes) 139.171 * * [simplify]: iters left: 3 (19 enodes) 139.177 * * [simplify]: iters left: 2 (27 enodes) 139.185 * * [simplify]: iters left: 1 (32 enodes) 139.192 * * [simplify]: Extracting #0: cost 1 inf + 0 139.192 * * [simplify]: Extracting #1: cost 8 inf + 0 139.193 * * [simplify]: Extracting #2: cost 7 inf + 45 139.193 * * [simplify]: Extracting #3: cost 0 inf + 421 139.193 * [simplify]: Simplified to (* (* PI 2) n) 139.193 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))))) 139.193 * * * * [progress]: [ 42 / 307 ] simplifiying candidate # 139.193 * [simplify]: Simplifying (* n (* 2 PI)) 139.193 * * [simplify]: iters left: 4 (5 enodes) 139.195 * * [simplify]: iters left: 3 (19 enodes) 139.197 * * [simplify]: iters left: 2 (27 enodes) 139.202 * * [simplify]: iters left: 1 (32 enodes) 139.206 * * [simplify]: Extracting #0: cost 1 inf + 0 139.206 * * [simplify]: Extracting #1: cost 8 inf + 0 139.206 * * [simplify]: Extracting #2: cost 7 inf + 45 139.206 * * [simplify]: Extracting #3: cost 0 inf + 421 139.206 * [simplify]: Simplified to (* (* PI 2) n) 139.206 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))))) 139.206 * * * * [progress]: [ 43 / 307 ] simplifiying candidate # 139.206 * * * * [progress]: [ 44 / 307 ] simplifiying candidate # 139.206 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 139.206 * * [simplify]: iters left: 5 (8 enodes) 139.209 * * [simplify]: iters left: 4 (28 enodes) 139.213 * * [simplify]: iters left: 3 (36 enodes) 139.220 * * [simplify]: iters left: 2 (42 enodes) 139.226 * * [simplify]: Extracting #0: cost 1 inf + 0 139.226 * * [simplify]: Extracting #1: cost 8 inf + 0 139.226 * * [simplify]: Extracting #2: cost 17 inf + 0 139.226 * * [simplify]: Extracting #3: cost 12 inf + 145 139.226 * * [simplify]: Extracting #4: cost 5 inf + 1197 139.226 * * [simplify]: Extracting #5: cost 1 inf + 1925 139.227 * * [simplify]: Extracting #6: cost 0 inf + 2107 139.227 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 139.227 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2))))) 139.227 * * * * [progress]: [ 45 / 307 ] simplifiying candidate # 139.228 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 139.228 * * [simplify]: iters left: 5 (7 enodes) 139.232 * * [simplify]: iters left: 4 (26 enodes) 139.240 * * [simplify]: iters left: 3 (35 enodes) 139.250 * * [simplify]: iters left: 2 (44 enodes) 139.262 * * [simplify]: Extracting #0: cost 1 inf + 0 139.262 * * [simplify]: Extracting #1: cost 8 inf + 0 139.262 * * [simplify]: Extracting #2: cost 18 inf + 0 139.262 * * [simplify]: Extracting #3: cost 15 inf + 74 139.263 * * [simplify]: Extracting #4: cost 8 inf + 554 139.263 * * [simplify]: Extracting #5: cost 0 inf + 1911 139.264 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 139.264 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2))))) 139.264 * * * * [progress]: [ 46 / 307 ] simplifiying candidate # 139.264 * [simplify]: Simplifying (log (* n (* 2 PI))) 139.264 * * [simplify]: iters left: 5 (6 enodes) 139.268 * * [simplify]: iters left: 4 (25 enodes) 139.276 * * [simplify]: iters left: 3 (44 enodes) 139.286 * * [simplify]: iters left: 2 (62 enodes) 139.295 * * [simplify]: iters left: 1 (70 enodes) 139.303 * * [simplify]: Extracting #0: cost 1 inf + 0 139.303 * * [simplify]: Extracting #1: cost 9 inf + 0 139.303 * * [simplify]: Extracting #2: cost 22 inf + 0 139.303 * * [simplify]: Extracting #3: cost 19 inf + 228 139.304 * * [simplify]: Extracting #4: cost 6 inf + 1211 139.304 * * [simplify]: Extracting #5: cost 1 inf + 1713 139.304 * * [simplify]: Extracting #6: cost 0 inf + 1825 139.305 * [simplify]: Simplified to (log (* (* PI 2) n)) 139.305 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (log (* (* PI 2) n))) (/ (- 1 k) 2))))) 139.305 * * * * [progress]: [ 47 / 307 ] simplifiying candidate # 139.305 * [simplify]: Simplifying (exp (* n (* 2 PI))) 139.305 * * [simplify]: iters left: 5 (6 enodes) 139.307 * * [simplify]: iters left: 4 (24 enodes) 139.311 * * [simplify]: iters left: 3 (41 enodes) 139.319 * * [simplify]: iters left: 2 (77 enodes) 139.338 * * [simplify]: iters left: 1 (133 enodes) 139.362 * * [simplify]: Extracting #0: cost 1 inf + 0 139.362 * * [simplify]: Extracting #1: cost 33 inf + 0 139.363 * * [simplify]: Extracting #2: cost 75 inf + 860 139.364 * * [simplify]: Extracting #3: cost 73 inf + 4094 139.366 * * [simplify]: Extracting #4: cost 37 inf + 10165 139.368 * * [simplify]: Extracting #5: cost 4 inf + 19745 139.370 * * [simplify]: Extracting #6: cost 0 inf + 21278 139.373 * [simplify]: Simplified to (exp (* n (+ PI PI))) 139.373 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (log (exp (* n (+ PI PI)))) (/ (- 1 k) 2))))) 139.373 * * * * [progress]: [ 48 / 307 ] simplifiying candidate # 139.373 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 139.373 * * [simplify]: iters left: 6 (11 enodes) 139.378 * * [simplify]: iters left: 5 (48 enodes) 139.387 * * [simplify]: iters left: 4 (121 enodes) 139.425 * * [simplify]: iters left: 3 (355 enodes) 139.629 * * [simplify]: Extracting #0: cost 1 inf + 0 139.630 * * [simplify]: Extracting #1: cost 65 inf + 0 139.630 * * [simplify]: Extracting #2: cost 162 inf + 496 139.633 * * [simplify]: Extracting #3: cost 89 inf + 8992 139.639 * * [simplify]: Extracting #4: cost 19 inf + 22730 139.648 * * [simplify]: Extracting #5: cost 0 inf + 27780 139.654 * * [simplify]: Extracting #6: cost 0 inf + 27740 139.665 * [simplify]: Simplified to (* 8 (* (* n PI) (* (* n PI) (* n PI)))) 139.665 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* 8 (* (* n PI) (* (* n PI) (* n PI))))) (/ (- 1 k) 2))))) 139.665 * * * * [progress]: [ 49 / 307 ] simplifiying candidate # 139.666 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 139.666 * * [simplify]: iters left: 6 (9 enodes) 139.670 * * [simplify]: iters left: 5 (45 enodes) 139.679 * * [simplify]: iters left: 4 (117 enodes) 139.719 * * [simplify]: iters left: 3 (377 enodes) 139.972 * * [simplify]: Extracting #0: cost 1 inf + 0 139.972 * * [simplify]: Extracting #1: cost 79 inf + 0 139.973 * * [simplify]: Extracting #2: cost 190 inf + 659 139.980 * * [simplify]: Extracting #3: cost 100 inf + 13035 139.989 * * [simplify]: Extracting #4: cost 6 inf + 31482 139.998 * * [simplify]: Extracting #5: cost 0 inf + 32336 140.007 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 140.007 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (- 1 k) 2))))) 140.007 * * * * [progress]: [ 50 / 307 ] simplifiying candidate # 140.008 * [simplify]: Simplifying (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) 140.008 * * [simplify]: iters left: 6 (7 enodes) 140.010 * * [simplify]: iters left: 5 (25 enodes) 140.014 * * [simplify]: iters left: 4 (33 enodes) 140.019 * * [simplify]: iters left: 3 (39 enodes) 140.025 * * [simplify]: Extracting #0: cost 1 inf + 0 140.025 * * [simplify]: Extracting #1: cost 3 inf + 0 140.025 * * [simplify]: Extracting #2: cost 5 inf + 0 140.025 * * [simplify]: Extracting #3: cost 12 inf + 0 140.025 * * [simplify]: Extracting #4: cost 11 inf + 45 140.025 * * [simplify]: Extracting #5: cost 5 inf + 500 140.026 * * [simplify]: Extracting #6: cost 1 inf + 950 140.027 * * [simplify]: Extracting #7: cost 0 inf + 1153 140.027 * [simplify]: Simplified to (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) 140.027 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2))))) 140.027 * [simplify]: Simplifying (cbrt (* n (* 2 PI))) 140.028 * * [simplify]: iters left: 5 (6 enodes) 140.031 * * [simplify]: iters left: 4 (22 enodes) 140.037 * * [simplify]: iters left: 3 (30 enodes) 140.046 * * [simplify]: iters left: 2 (35 enodes) 140.054 * * [simplify]: Extracting #0: cost 1 inf + 0 140.054 * * [simplify]: Extracting #1: cost 3 inf + 0 140.055 * * [simplify]: Extracting #2: cost 10 inf + 0 140.055 * * [simplify]: Extracting #3: cost 10 inf + 3 140.055 * * [simplify]: Extracting #4: cost 6 inf + 171 140.055 * * [simplify]: Extracting #5: cost 1 inf + 584 140.055 * * [simplify]: Extracting #6: cost 0 inf + 747 140.056 * [simplify]: Simplified to (cbrt (* (* PI 2) n)) 140.056 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* (* PI 2) n))) (/ (- 1 k) 2))))) 140.056 * * * * [progress]: [ 51 / 307 ] simplifiying candidate # 140.056 * [simplify]: Simplifying (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI))) 140.056 * * [simplify]: iters left: 6 (7 enodes) 140.058 * * [simplify]: iters left: 5 (35 enodes) 140.067 * * [simplify]: iters left: 4 (120 enodes) 140.121 * * [simplify]: iters left: 3 (434 enodes) 140.595 * * [simplify]: Extracting #0: cost 1 inf + 0 140.596 * * [simplify]: Extracting #1: cost 70 inf + 0 140.597 * * [simplify]: Extracting #2: cost 180 inf + 783 140.601 * * [simplify]: Extracting #3: cost 74 inf + 15033 140.610 * * [simplify]: Extracting #4: cost 1 inf + 25830 140.620 * * [simplify]: Extracting #5: cost 0 inf + 25831 140.634 * [simplify]: Simplified to (* 8 (* (* n PI) (* (* n PI) (* n PI)))) 140.635 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* 8 (* (* n PI) (* (* n PI) (* n PI))))) (/ (- 1 k) 2))))) 140.635 * * * * [progress]: [ 52 / 307 ] simplifiying candidate # 140.635 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 140.635 * * [simplify]: iters left: 5 (6 enodes) 140.638 * * [simplify]: iters left: 4 (22 enodes) 140.645 * * [simplify]: iters left: 3 (30 enodes) 140.653 * * [simplify]: iters left: 2 (35 enodes) 140.658 * * [simplify]: Extracting #0: cost 1 inf + 0 140.658 * * [simplify]: Extracting #1: cost 3 inf + 0 140.658 * * [simplify]: Extracting #2: cost 10 inf + 0 140.658 * * [simplify]: Extracting #3: cost 10 inf + 3 140.658 * * [simplify]: Extracting #4: cost 6 inf + 171 140.658 * * [simplify]: Extracting #5: cost 1 inf + 544 140.658 * * [simplify]: Extracting #6: cost 0 inf + 667 140.658 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 140.659 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt (* (* PI 2) n)) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2))))) 140.659 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 140.659 * * [simplify]: iters left: 5 (6 enodes) 140.661 * * [simplify]: iters left: 4 (22 enodes) 140.664 * * [simplify]: iters left: 3 (30 enodes) 140.671 * * [simplify]: iters left: 2 (35 enodes) 140.675 * * [simplify]: Extracting #0: cost 1 inf + 0 140.675 * * [simplify]: Extracting #1: cost 3 inf + 0 140.675 * * [simplify]: Extracting #2: cost 10 inf + 0 140.676 * * [simplify]: Extracting #3: cost 10 inf + 3 140.676 * * [simplify]: Extracting #4: cost 6 inf + 171 140.676 * * [simplify]: Extracting #5: cost 1 inf + 544 140.676 * * [simplify]: Extracting #6: cost 0 inf + 667 140.676 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 140.676 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt (* n (* 2 PI))) (sqrt (* (* PI 2) n))) (/ (- 1 k) 2))))) 140.676 * * * * [progress]: [ 53 / 307 ] simplifiying candidate # 140.676 * * * * [progress]: [ 54 / 307 ] simplifiying candidate # 140.677 * [simplify]: Simplifying (* n 2) 140.677 * * [simplify]: iters left: 2 (3 enodes) 140.678 * * [simplify]: iters left: 1 (10 enodes) 140.679 * * [simplify]: Extracting #0: cost 1 inf + 0 140.679 * * [simplify]: Extracting #1: cost 4 inf + 0 140.679 * * [simplify]: Extracting #2: cost 2 inf + 2 140.679 * * [simplify]: Extracting #3: cost 0 inf + 86 140.679 * [simplify]: Simplified to (* n 2) 140.680 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) 140.680 * * * * [progress]: [ 55 / 307 ] simplifiying candidate # 140.680 * [simplify]: Simplifying (* (cbrt n) (* 2 PI)) 140.680 * * [simplify]: iters left: 4 (6 enodes) 140.683 * * [simplify]: iters left: 3 (22 enodes) 140.690 * * [simplify]: iters left: 2 (30 enodes) 140.699 * * [simplify]: iters left: 1 (35 enodes) 140.708 * * [simplify]: Extracting #0: cost 1 inf + 0 140.708 * * [simplify]: Extracting #1: cost 8 inf + 0 140.708 * * [simplify]: Extracting #2: cost 10 inf + 44 140.708 * * [simplify]: Extracting #3: cost 8 inf + 87 140.709 * * [simplify]: Extracting #4: cost 5 inf + 453 140.709 * * [simplify]: Extracting #5: cost 0 inf + 1063 140.709 * [simplify]: Simplified to (* (cbrt n) (* 2 PI)) 140.709 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2))))) 140.710 * * * * [progress]: [ 56 / 307 ] simplifiying candidate # 140.710 * [simplify]: Simplifying (* (sqrt n) (* 2 PI)) 140.710 * * [simplify]: iters left: 4 (6 enodes) 140.713 * * [simplify]: iters left: 3 (22 enodes) 140.720 * * [simplify]: iters left: 2 (30 enodes) 140.729 * * [simplify]: iters left: 1 (35 enodes) 140.738 * * [simplify]: Extracting #0: cost 1 inf + 0 140.738 * * [simplify]: Extracting #1: cost 8 inf + 0 140.738 * * [simplify]: Extracting #2: cost 10 inf + 44 140.738 * * [simplify]: Extracting #3: cost 8 inf + 87 140.738 * * [simplify]: Extracting #4: cost 5 inf + 333 140.739 * * [simplify]: Extracting #5: cost 0 inf + 743 140.739 * [simplify]: Simplified to (* (sqrt n) (* 2 PI)) 140.739 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2))))) 140.739 * * * * [progress]: [ 57 / 307 ] simplifiying candidate # 140.740 * [simplify]: Simplifying (* n (* 2 PI)) 140.740 * * [simplify]: iters left: 4 (5 enodes) 140.743 * * [simplify]: iters left: 3 (19 enodes) 140.749 * * [simplify]: iters left: 2 (27 enodes) 140.756 * * [simplify]: iters left: 1 (32 enodes) 140.764 * * [simplify]: Extracting #0: cost 1 inf + 0 140.764 * * [simplify]: Extracting #1: cost 8 inf + 0 140.764 * * [simplify]: Extracting #2: cost 7 inf + 45 140.765 * * [simplify]: Extracting #3: cost 0 inf + 421 140.765 * [simplify]: Simplified to (* (* PI 2) n) 140.765 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* (* PI 2) n)) (/ (- 1 k) 2))))) 140.765 * * * * [progress]: [ 58 / 307 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)))))> 140.765 * [simplify]: Simplifying (real->posit16 (* n (* 2 PI))) 140.766 * * [simplify]: iters left: 5 (6 enodes) 140.769 * * [simplify]: iters left: 4 (19 enodes) 140.774 * * [simplify]: iters left: 3 (27 enodes) 140.782 * * [simplify]: iters left: 2 (32 enodes) 140.791 * * [simplify]: Extracting #0: cost 1 inf + 0 140.791 * * [simplify]: Extracting #1: cost 2 inf + 0 140.791 * * [simplify]: Extracting #2: cost 8 inf + 0 140.791 * * [simplify]: Extracting #3: cost 7 inf + 45 140.791 * * [simplify]: Extracting #4: cost 1 inf + 379 140.791 * * [simplify]: Extracting #5: cost 0 inf + 421 140.792 * [simplify]: Simplified to (real->posit16 (* (* PI 2) n)) 140.792 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (posit16->real (real->posit16 (* (* PI 2) n))) (/ (- 1 k) 2))))) 140.792 * * * * [progress]: [ 59 / 307 ] simplifiying candidate # 140.792 * * * * [progress]: [ 60 / 307 ] simplifiying candidate # 140.792 * * * * [progress]: [ 61 / 307 ] simplifiying candidate # 140.792 * [simplify]: Simplifying (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) 140.792 * * [simplify]: iters left: 6 (16 enodes) 140.801 * * [simplify]: iters left: 5 (65 enodes) 140.824 * * [simplify]: iters left: 4 (119 enodes) 140.866 * * [simplify]: iters left: 3 (357 enodes) 140.992 * * [simplify]: Extracting #0: cost 1 inf + 0 140.992 * * [simplify]: Extracting #1: cost 29 inf + 0 140.992 * * [simplify]: Extracting #2: cost 141 inf + 0 140.994 * * [simplify]: Extracting #3: cost 252 inf + 73 140.996 * * [simplify]: Extracting #4: cost 269 inf + 2689 141.012 * * [simplify]: Extracting #5: cost 128 inf + 36068 141.036 * * [simplify]: Extracting #6: cost 10 inf + 72706 141.064 * * [simplify]: Extracting #7: cost 0 inf + 76296 141.091 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))) 141.091 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))))) 141.091 * * * * [progress]: [ 62 / 307 ] simplifiying candidate # 141.091 * [simplify]: Simplifying (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) 141.092 * * [simplify]: iters left: 6 (15 enodes) 141.101 * * [simplify]: iters left: 5 (63 enodes) 141.121 * * [simplify]: iters left: 4 (112 enodes) 141.166 * * [simplify]: iters left: 3 (289 enodes) 141.269 * * [simplify]: Extracting #0: cost 1 inf + 0 141.269 * * [simplify]: Extracting #1: cost 25 inf + 0 141.270 * * [simplify]: Extracting #2: cost 117 inf + 0 141.271 * * [simplify]: Extracting #3: cost 224 inf + 2 141.273 * * [simplify]: Extracting #4: cost 211 inf + 8633 141.280 * * [simplify]: Extracting #5: cost 57 inf + 42021 141.291 * * [simplify]: Extracting #6: cost 1 inf + 59274 141.304 * * [simplify]: Extracting #7: cost 0 inf + 59496 141.326 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 141.326 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))) 141.327 * * * * [progress]: [ 63 / 307 ] simplifiying candidate # 141.327 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) 141.327 * * [simplify]: iters left: 6 (14 enodes) 141.335 * * [simplify]: iters left: 5 (62 enodes) 141.359 * * [simplify]: iters left: 4 (119 enodes) 141.400 * * [simplify]: iters left: 3 (271 enodes) 141.529 * * [simplify]: Extracting #0: cost 1 inf + 0 141.529 * * [simplify]: Extracting #1: cost 15 inf + 0 141.529 * * [simplify]: Extracting #2: cost 94 inf + 0 141.530 * * [simplify]: Extracting #3: cost 204 inf + 2 141.531 * * [simplify]: Extracting #4: cost 210 inf + 4310 141.536 * * [simplify]: Extracting #5: cost 57 inf + 32673 141.546 * * [simplify]: Extracting #6: cost 1 inf + 46809 141.555 * * [simplify]: Extracting #7: cost 0 inf + 47083 141.565 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 141.565 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))))) 141.565 * * * * [progress]: [ 64 / 307 ] simplifiying candidate # 141.565 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) 141.565 * * [simplify]: iters left: 6 (14 enodes) 141.569 * * [simplify]: iters left: 5 (62 enodes) 141.583 * * [simplify]: iters left: 4 (119 enodes) 141.603 * * [simplify]: iters left: 3 (271 enodes) 141.702 * * [simplify]: Extracting #0: cost 1 inf + 0 141.702 * * [simplify]: Extracting #1: cost 15 inf + 0 141.702 * * [simplify]: Extracting #2: cost 94 inf + 0 141.703 * * [simplify]: Extracting #3: cost 204 inf + 2 141.705 * * [simplify]: Extracting #4: cost 210 inf + 4310 141.716 * * [simplify]: Extracting #5: cost 57 inf + 32673 141.735 * * [simplify]: Extracting #6: cost 1 inf + 46809 141.754 * * [simplify]: Extracting #7: cost 0 inf + 47083 141.773 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 141.773 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))))) 141.773 * * * * [progress]: [ 65 / 307 ] simplifiying candidate # 141.773 * [simplify]: Simplifying (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 141.774 * * [simplify]: iters left: 6 (14 enodes) 141.781 * * [simplify]: iters left: 5 (61 enodes) 141.806 * * [simplify]: iters left: 4 (111 enodes) 141.844 * * [simplify]: iters left: 3 (251 enodes) 141.912 * * [simplify]: Extracting #0: cost 1 inf + 0 141.912 * * [simplify]: Extracting #1: cost 19 inf + 0 141.913 * * [simplify]: Extracting #2: cost 126 inf + 0 141.914 * * [simplify]: Extracting #3: cost 229 inf + 2 141.917 * * [simplify]: Extracting #4: cost 221 inf + 9280 141.925 * * [simplify]: Extracting #5: cost 38 inf + 50542 141.935 * * [simplify]: Extracting #6: cost 1 inf + 58516 141.946 * * [simplify]: Extracting #7: cost 0 inf + 58445 141.956 * [simplify]: Simplified to (- (log (sqrt k)) (/ (* (log (* n (* 2 PI))) (- 1 k)) 2)) 141.956 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (/ (* (log (* n (* 2 PI))) (- 1 k)) 2))))) 141.956 * * * * [progress]: [ 66 / 307 ] simplifiying candidate # 141.956 * [simplify]: Simplifying (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 141.956 * * [simplify]: iters left: 6 (13 enodes) 141.960 * * [simplify]: iters left: 5 (57 enodes) 141.976 * * [simplify]: iters left: 4 (102 enodes) 142.005 * * [simplify]: iters left: 3 (186 enodes) 142.052 * * [simplify]: iters left: 2 (485 enodes) 142.310 * * [simplify]: Extracting #0: cost 1 inf + 0 142.310 * * [simplify]: Extracting #1: cost 68 inf + 0 142.312 * * [simplify]: Extracting #2: cost 472 inf + 0 142.316 * * [simplify]: Extracting #3: cost 666 inf + 4 142.324 * * [simplify]: Extracting #4: cost 601 inf + 14706 142.356 * * [simplify]: Extracting #5: cost 134 inf + 130196 142.400 * * [simplify]: Extracting #6: cost 12 inf + 174537 142.462 * * [simplify]: Extracting #7: cost 0 inf + 179656 142.525 * * [simplify]: Extracting #8: cost 0 inf + 179206 142.582 * [simplify]: Simplified to (+ (* (log (* (* PI n) 2)) (+ (/ k 2) -1/2)) (log (sqrt k))) 142.582 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* (* PI n) 2)) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 142.582 * * * * [progress]: [ 67 / 307 ] simplifiying candidate # 142.583 * [simplify]: Simplifying (exp (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 142.583 * * [simplify]: iters left: 6 (13 enodes) 142.587 * * [simplify]: iters left: 5 (54 enodes) 142.597 * * [simplify]: iters left: 4 (89 enodes) 142.624 * * [simplify]: iters left: 3 (135 enodes) 142.652 * * [simplify]: iters left: 2 (222 enodes) 142.705 * * [simplify]: iters left: 1 (417 enodes) 142.885 * * [simplify]: Extracting #0: cost 1 inf + 0 142.885 * * [simplify]: Extracting #1: cost 3 inf + 0 142.885 * * [simplify]: Extracting #2: cost 8 inf + 0 142.885 * * [simplify]: Extracting #3: cost 43 inf + 0 142.886 * * [simplify]: Extracting #4: cost 139 inf + 43 142.888 * * [simplify]: Extracting #5: cost 188 inf + 469 142.892 * * [simplify]: Extracting #6: cost 118 inf + 13936 142.909 * * [simplify]: Extracting #7: cost 24 inf + 58296 142.933 * * [simplify]: Extracting #8: cost 0 inf + 77673 142.951 * * [simplify]: Extracting #9: cost 0 inf + 76481 142.963 * * [simplify]: Extracting #10: cost 0 inf + 76441 142.982 * [simplify]: Simplified to (exp (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 142.982 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (log (exp (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 142.982 * * * * [progress]: [ 68 / 307 ] simplifiying candidate # 142.982 * [simplify]: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 142.983 * * [simplify]: iters left: 6 (16 enodes) 142.992 * * [simplify]: iters left: 5 (72 enodes) 143.004 * * [simplify]: iters left: 4 (163 enodes) 143.049 * * [simplify]: iters left: 3 (440 enodes) 143.255 * * [simplify]: Extracting #0: cost 1 inf + 0 143.256 * * [simplify]: Extracting #1: cost 114 inf + 0 143.258 * * [simplify]: Extracting #2: cost 335 inf + 123 143.261 * * [simplify]: Extracting #3: cost 399 inf + 248 143.265 * * [simplify]: Extracting #4: cost 364 inf + 8802 143.291 * * [simplify]: Extracting #5: cost 173 inf + 127386 143.365 * * [simplify]: Extracting #6: cost 4 inf + 251908 143.414 * * [simplify]: Extracting #7: cost 0 inf + 253025 143.477 * * [simplify]: Extracting #8: cost 0 inf + 252613 143.542 * * [simplify]: Extracting #9: cost 0 inf + 252361 143.584 * [simplify]: Simplified to (* (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ (/ k (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 143.585 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ (/ k (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 143.585 * * * * [progress]: [ 69 / 307 ] simplifiying candidate # 143.585 * [simplify]: Simplifying (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 143.585 * * [simplify]: iters left: 6 (14 enodes) 143.590 * * [simplify]: iters left: 5 (57 enodes) 143.600 * * [simplify]: iters left: 4 (92 enodes) 143.620 * * [simplify]: iters left: 3 (134 enodes) 143.663 * * [simplify]: iters left: 2 (220 enodes) 143.733 * * [simplify]: iters left: 1 (415 enodes) 143.890 * * [simplify]: Extracting #0: cost 1 inf + 0 143.890 * * [simplify]: Extracting #1: cost 3 inf + 0 143.890 * * [simplify]: Extracting #2: cost 5 inf + 0 143.890 * * [simplify]: Extracting #3: cost 10 inf + 0 143.890 * * [simplify]: Extracting #4: cost 49 inf + 0 143.891 * * [simplify]: Extracting #5: cost 139 inf + 43 143.892 * * [simplify]: Extracting #6: cost 188 inf + 386 143.897 * * [simplify]: Extracting #7: cost 122 inf + 16294 143.915 * * [simplify]: Extracting #8: cost 22 inf + 59733 143.946 * * [simplify]: Extracting #9: cost 0 inf + 72241 143.983 * * [simplify]: Extracting #10: cost 0 inf + 70723 144.024 * * [simplify]: Extracting #11: cost 0 inf + 70553 144.059 * * [simplify]: Extracting #12: cost 0 inf + 70513 144.079 * [simplify]: Simplified to (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 144.079 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 144.079 * [simplify]: Simplifying (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 144.079 * * [simplify]: iters left: 6 (13 enodes) 144.083 * * [simplify]: iters left: 5 (54 enodes) 144.092 * * [simplify]: iters left: 4 (89 enodes) 144.109 * * [simplify]: iters left: 3 (135 enodes) 144.152 * * [simplify]: iters left: 2 (222 enodes) 144.236 * * [simplify]: iters left: 1 (417 enodes) 144.422 * * [simplify]: Extracting #0: cost 1 inf + 0 144.422 * * [simplify]: Extracting #1: cost 3 inf + 0 144.422 * * [simplify]: Extracting #2: cost 8 inf + 0 144.422 * * [simplify]: Extracting #3: cost 43 inf + 0 144.422 * * [simplify]: Extracting #4: cost 139 inf + 43 144.423 * * [simplify]: Extracting #5: cost 188 inf + 469 144.425 * * [simplify]: Extracting #6: cost 118 inf + 13946 144.434 * * [simplify]: Extracting #7: cost 24 inf + 58316 144.446 * * [simplify]: Extracting #8: cost 0 inf + 77693 144.458 * * [simplify]: Extracting #9: cost 0 inf + 76501 144.478 * * [simplify]: Extracting #10: cost 0 inf + 76461 144.490 * [simplify]: Simplified to (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 144.490 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 144.490 * * * * [progress]: [ 70 / 307 ] simplifiying candidate # 144.491 * [simplify]: Simplifying (* (* (/ (sqrt k) (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)))) 144.491 * * [simplify]: iters left: 6 (14 enodes) 144.495 * * [simplify]: iters left: 5 (64 enodes) 144.507 * * [simplify]: iters left: 4 (134 enodes) 144.552 * * [simplify]: iters left: 3 (327 enodes) 144.725 * * [simplify]: Extracting #0: cost 1 inf + 0 144.726 * * [simplify]: Extracting #1: cost 79 inf + 0 144.728 * * [simplify]: Extracting #2: cost 256 inf + 1 144.730 * * [simplify]: Extracting #3: cost 291 inf + 166 144.733 * * [simplify]: Extracting #4: cost 277 inf + 1216 144.739 * * [simplify]: Extracting #5: cost 217 inf + 19405 144.773 * * [simplify]: Extracting #6: cost 61 inf + 138194 144.812 * * [simplify]: Extracting #7: cost 0 inf + 181898 144.866 * * [simplify]: Extracting #8: cost 0 inf + 179035 144.924 * [simplify]: Simplified to (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 144.924 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))) 144.924 * * * * [progress]: [ 71 / 307 ] simplifiying candidate # 144.924 * [simplify]: Simplifying (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 144.925 * * [simplify]: iters left: 6 (13 enodes) 144.932 * * [simplify]: iters left: 5 (54 enodes) 144.950 * * [simplify]: iters left: 4 (89 enodes) 144.978 * * [simplify]: iters left: 3 (135 enodes) 145.024 * * [simplify]: iters left: 2 (222 enodes) 145.107 * * [simplify]: iters left: 1 (417 enodes) 145.310 * * [simplify]: Extracting #0: cost 1 inf + 0 145.310 * * [simplify]: Extracting #1: cost 3 inf + 0 145.310 * * [simplify]: Extracting #2: cost 8 inf + 0 145.311 * * [simplify]: Extracting #3: cost 43 inf + 0 145.311 * * [simplify]: Extracting #4: cost 139 inf + 43 145.313 * * [simplify]: Extracting #5: cost 188 inf + 469 145.318 * * [simplify]: Extracting #6: cost 118 inf + 13906 145.334 * * [simplify]: Extracting #7: cost 24 inf + 58236 145.347 * * [simplify]: Extracting #8: cost 0 inf + 77613 145.361 * * [simplify]: Extracting #9: cost 0 inf + 76421 145.383 * * [simplify]: Extracting #10: cost 0 inf + 76381 145.395 * [simplify]: Simplified to (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 145.395 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 145.395 * [simplify]: Simplifying (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 145.395 * * [simplify]: iters left: 6 (13 enodes) 145.399 * * [simplify]: iters left: 5 (54 enodes) 145.413 * * [simplify]: iters left: 4 (89 enodes) 145.436 * * [simplify]: iters left: 3 (135 enodes) 145.466 * * [simplify]: iters left: 2 (222 enodes) 145.547 * * [simplify]: iters left: 1 (417 enodes) 145.735 * * [simplify]: Extracting #0: cost 1 inf + 0 145.735 * * [simplify]: Extracting #1: cost 3 inf + 0 145.735 * * [simplify]: Extracting #2: cost 8 inf + 0 145.735 * * [simplify]: Extracting #3: cost 43 inf + 0 145.736 * * [simplify]: Extracting #4: cost 139 inf + 43 145.736 * * [simplify]: Extracting #5: cost 188 inf + 469 145.739 * * [simplify]: Extracting #6: cost 118 inf + 13906 145.755 * * [simplify]: Extracting #7: cost 24 inf + 58236 145.779 * * [simplify]: Extracting #8: cost 0 inf + 77613 145.803 * * [simplify]: Extracting #9: cost 0 inf + 76421 145.830 * * [simplify]: Extracting #10: cost 0 inf + 76381 145.843 * [simplify]: Simplified to (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 145.843 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 145.843 * * * * [progress]: [ 72 / 307 ] simplifiying candidate # 145.843 * [simplify]: Simplifying (- (sqrt k)) 145.843 * * [simplify]: iters left: 3 (3 enodes) 145.844 * * [simplify]: iters left: 2 (9 enodes) 145.845 * * [simplify]: Extracting #0: cost 1 inf + 0 145.845 * * [simplify]: Extracting #1: cost 3 inf + 0 145.845 * * [simplify]: Extracting #2: cost 5 inf + 0 145.845 * * [simplify]: Extracting #3: cost 4 inf + 1 145.845 * * [simplify]: Extracting #4: cost 0 inf + 245 145.845 * [simplify]: Simplified to (- (sqrt k)) 145.845 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 145.845 * [simplify]: Simplifying (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 145.845 * * [simplify]: iters left: 6 (11 enodes) 145.849 * * [simplify]: iters left: 5 (48 enodes) 145.857 * * [simplify]: iters left: 4 (80 enodes) 145.873 * * [simplify]: iters left: 3 (132 enodes) 145.922 * * [simplify]: iters left: 2 (259 enodes) 145.998 * * [simplify]: Extracting #0: cost 1 inf + 0 145.998 * * [simplify]: Extracting #1: cost 23 inf + 0 145.998 * * [simplify]: Extracting #2: cost 81 inf + 0 145.999 * * [simplify]: Extracting #3: cost 128 inf + 2 146.000 * * [simplify]: Extracting #4: cost 135 inf + 179 146.001 * * [simplify]: Extracting #5: cost 128 inf + 1305 146.005 * * [simplify]: Extracting #6: cost 76 inf + 8767 146.012 * * [simplify]: Extracting #7: cost 44 inf + 21510 146.026 * * [simplify]: Extracting #8: cost 3 inf + 51259 146.044 * * [simplify]: Extracting #9: cost 0 inf + 53750 146.059 * [simplify]: Simplified to (- (pow (* (* PI 2) n) (/ (- 1 k) 2))) 146.060 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 146.060 * * * * [progress]: [ 73 / 307 ] simplifiying candidate # 146.060 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) 146.060 * * [simplify]: iters left: 6 (11 enodes) 146.066 * * [simplify]: iters left: 5 (46 enodes) 146.082 * * [simplify]: iters left: 4 (76 enodes) 146.108 * * [simplify]: iters left: 3 (138 enodes) 146.163 * * [simplify]: iters left: 2 (303 enodes) 146.248 * * [simplify]: Extracting #0: cost 1 inf + 0 146.248 * * [simplify]: Extracting #1: cost 42 inf + 0 146.249 * * [simplify]: Extracting #2: cost 139 inf + 0 146.250 * * [simplify]: Extracting #3: cost 197 inf + 3 146.252 * * [simplify]: Extracting #4: cost 181 inf + 3025 146.254 * * [simplify]: Extracting #5: cost 130 inf + 15426 146.266 * * [simplify]: Extracting #6: cost 24 inf + 80956 146.279 * * [simplify]: Extracting #7: cost 0 inf + 97962 146.304 * * [simplify]: Extracting #8: cost 0 inf + 97670 146.328 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) 146.329 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 146.329 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 146.329 * * [simplify]: iters left: 6 (11 enodes) 146.335 * * [simplify]: iters left: 5 (45 enodes) 146.350 * * [simplify]: iters left: 4 (68 enodes) 146.371 * * [simplify]: iters left: 3 (110 enodes) 146.415 * * [simplify]: iters left: 2 (217 enodes) 146.478 * * [simplify]: iters left: 1 (409 enodes) 146.662 * * [simplify]: Extracting #0: cost 1 inf + 0 146.662 * * [simplify]: Extracting #1: cost 6 inf + 0 146.662 * * [simplify]: Extracting #2: cost 42 inf + 0 146.662 * * [simplify]: Extracting #3: cost 137 inf + 1 146.663 * * [simplify]: Extracting #4: cost 196 inf + 419 146.667 * * [simplify]: Extracting #5: cost 130 inf + 14775 146.684 * * [simplify]: Extracting #6: cost 19 inf + 60333 146.706 * * [simplify]: Extracting #7: cost 0 inf + 74333 146.728 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 146.728 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 146.728 * * * * [progress]: [ 74 / 307 ] simplifiying candidate # 146.729 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 146.729 * * [simplify]: iters left: 6 (16 enodes) 146.738 * * [simplify]: iters left: 5 (69 enodes) 146.767 * * [simplify]: iters left: 4 (113 enodes) 146.785 * * [simplify]: iters left: 3 (163 enodes) 146.829 * * [simplify]: iters left: 2 (267 enodes) 146.886 * * [simplify]: iters left: 1 (445 enodes) 147.082 * * [simplify]: Extracting #0: cost 1 inf + 0 147.082 * * [simplify]: Extracting #1: cost 11 inf + 0 147.082 * * [simplify]: Extracting #2: cost 22 inf + 0 147.082 * * [simplify]: Extracting #3: cost 51 inf + 0 147.082 * * [simplify]: Extracting #4: cost 131 inf + 43 147.083 * * [simplify]: Extracting #5: cost 183 inf + 499 147.085 * * [simplify]: Extracting #6: cost 159 inf + 2935 147.092 * * [simplify]: Extracting #7: cost 88 inf + 13835 147.104 * * [simplify]: Extracting #8: cost 43 inf + 36293 147.121 * * [simplify]: Extracting #9: cost 2 inf + 75214 147.135 * * [simplify]: Extracting #10: cost 0 inf + 74520 147.154 * * [simplify]: Extracting #11: cost 0 inf + 74256 147.181 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 147.181 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 147.182 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 147.182 * * [simplify]: iters left: 6 (14 enodes) 147.190 * * [simplify]: iters left: 5 (57 enodes) 147.211 * * [simplify]: iters left: 4 (90 enodes) 147.230 * * [simplify]: iters left: 3 (128 enodes) 147.253 * * [simplify]: iters left: 2 (208 enodes) 147.319 * * [simplify]: iters left: 1 (391 enodes) 147.468 * * [simplify]: Extracting #0: cost 1 inf + 0 147.468 * * [simplify]: Extracting #1: cost 4 inf + 0 147.468 * * [simplify]: Extracting #2: cost 8 inf + 0 147.468 * * [simplify]: Extracting #3: cost 38 inf + 0 147.469 * * [simplify]: Extracting #4: cost 118 inf + 43 147.470 * * [simplify]: Extracting #5: cost 172 inf + 422 147.473 * * [simplify]: Extracting #6: cost 122 inf + 9376 147.481 * * [simplify]: Extracting #7: cost 67 inf + 20227 147.495 * * [simplify]: Extracting #8: cost 10 inf + 59461 147.505 * * [simplify]: Extracting #9: cost 0 inf + 69012 147.514 * * [simplify]: Extracting #10: cost 0 inf + 68590 147.534 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 147.534 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 147.534 * * * * [progress]: [ 75 / 307 ] simplifiying candidate # 147.534 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 147.535 * * [simplify]: iters left: 6 (15 enodes) 147.543 * * [simplify]: iters left: 5 (62 enodes) 147.562 * * [simplify]: iters left: 4 (96 enodes) 147.587 * * [simplify]: iters left: 3 (142 enodes) 147.620 * * [simplify]: iters left: 2 (240 enodes) 147.667 * * [simplify]: iters left: 1 (415 enodes) 147.812 * * [simplify]: Extracting #0: cost 1 inf + 0 147.812 * * [simplify]: Extracting #1: cost 7 inf + 0 147.813 * * [simplify]: Extracting #2: cost 15 inf + 0 147.813 * * [simplify]: Extracting #3: cost 51 inf + 0 147.813 * * [simplify]: Extracting #4: cost 142 inf + 84 147.814 * * [simplify]: Extracting #5: cost 182 inf + 627 147.817 * * [simplify]: Extracting #6: cost 105 inf + 18990 147.827 * * [simplify]: Extracting #7: cost 18 inf + 60581 147.851 * * [simplify]: Extracting #8: cost 0 inf + 73754 147.876 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (cbrt (sqrt k))) 147.876 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 147.877 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 147.877 * * [simplify]: iters left: 6 (14 enodes) 147.884 * * [simplify]: iters left: 5 (57 enodes) 147.907 * * [simplify]: iters left: 4 (91 enodes) 147.932 * * [simplify]: iters left: 3 (129 enodes) 147.954 * * [simplify]: iters left: 2 (209 enodes) 148.024 * * [simplify]: iters left: 1 (390 enodes) 148.186 * * [simplify]: Extracting #0: cost 1 inf + 0 148.186 * * [simplify]: Extracting #1: cost 4 inf + 0 148.187 * * [simplify]: Extracting #2: cost 9 inf + 0 148.187 * * [simplify]: Extracting #3: cost 42 inf + 0 148.187 * * [simplify]: Extracting #4: cost 132 inf + 43 148.189 * * [simplify]: Extracting #5: cost 162 inf + 465 148.193 * * [simplify]: Extracting #6: cost 100 inf + 9326 148.204 * * [simplify]: Extracting #7: cost 35 inf + 35836 148.229 * * [simplify]: Extracting #8: cost 2 inf + 63111 148.249 * * [simplify]: Extracting #9: cost 0 inf + 64364 148.267 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 148.267 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 148.267 * * * * [progress]: [ 76 / 307 ] simplifiying candidate # 148.267 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 148.267 * * [simplify]: iters left: 6 (6 enodes) 148.269 * * [simplify]: iters left: 5 (20 enodes) 148.273 * * [simplify]: iters left: 4 (30 enodes) 148.277 * * [simplify]: iters left: 3 (31 enodes) 148.281 * * [simplify]: Extracting #0: cost 1 inf + 0 148.281 * * [simplify]: Extracting #1: cost 5 inf + 0 148.281 * * [simplify]: Extracting #2: cost 7 inf + 1 148.281 * * [simplify]: Extracting #3: cost 9 inf + 1 148.282 * * [simplify]: Extracting #4: cost 8 inf + 2 148.282 * * [simplify]: Extracting #5: cost 0 inf + 972 148.282 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 148.282 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 148.282 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 148.282 * * [simplify]: iters left: 6 (13 enodes) 148.286 * * [simplify]: iters left: 5 (54 enodes) 148.295 * * [simplify]: iters left: 4 (85 enodes) 148.316 * * [simplify]: iters left: 3 (129 enodes) 148.354 * * [simplify]: iters left: 2 (231 enodes) 148.425 * * [simplify]: iters left: 1 (414 enodes) 148.598 * * [simplify]: Extracting #0: cost 1 inf + 0 148.598 * * [simplify]: Extracting #1: cost 6 inf + 0 148.598 * * [simplify]: Extracting #2: cost 41 inf + 0 148.599 * * [simplify]: Extracting #3: cost 135 inf + 1 148.600 * * [simplify]: Extracting #4: cost 173 inf + 914 148.603 * * [simplify]: Extracting #5: cost 145 inf + 3612 148.611 * * [simplify]: Extracting #6: cost 66 inf + 27045 148.633 * * [simplify]: Extracting #7: cost 7 inf + 68757 148.658 * * [simplify]: Extracting #8: cost 0 inf + 73616 148.686 * * [simplify]: Extracting #9: cost 0 inf + 72912 148.705 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 148.705 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 148.705 * * * * [progress]: [ 77 / 307 ] simplifiying candidate # 148.706 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 148.706 * * [simplify]: iters left: 6 (15 enodes) 148.710 * * [simplify]: iters left: 5 (65 enodes) 148.721 * * [simplify]: iters left: 4 (107 enodes) 148.749 * * [simplify]: iters left: 3 (179 enodes) 148.797 * * [simplify]: iters left: 2 (351 enodes) 148.917 * * [simplify]: Extracting #0: cost 1 inf + 0 148.917 * * [simplify]: Extracting #1: cost 43 inf + 0 148.918 * * [simplify]: Extracting #2: cost 141 inf + 0 148.919 * * [simplify]: Extracting #3: cost 206 inf + 2 148.922 * * [simplify]: Extracting #4: cost 186 inf + 6139 148.932 * * [simplify]: Extracting #5: cost 98 inf + 43887 148.952 * * [simplify]: Extracting #6: cost 12 inf + 102397 148.968 * * [simplify]: Extracting #7: cost 0 inf + 112008 148.984 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) 148.984 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 148.984 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 148.984 * * [simplify]: iters left: 6 (14 enodes) 148.992 * * [simplify]: iters left: 5 (60 enodes) 149.003 * * [simplify]: iters left: 4 (98 enodes) 149.021 * * [simplify]: iters left: 3 (157 enodes) 149.053 * * [simplify]: iters left: 2 (285 enodes) 149.150 * * [simplify]: Extracting #0: cost 1 inf + 0 149.150 * * [simplify]: Extracting #1: cost 6 inf + 0 149.150 * * [simplify]: Extracting #2: cost 27 inf + 0 149.150 * * [simplify]: Extracting #3: cost 95 inf + 1 149.151 * * [simplify]: Extracting #4: cost 119 inf + 383 149.154 * * [simplify]: Extracting #5: cost 76 inf + 6104 149.158 * * [simplify]: Extracting #6: cost 13 inf + 27562 149.163 * * [simplify]: Extracting #7: cost 0 inf + 36646 149.169 * * [simplify]: Extracting #8: cost 0 inf + 36151 149.174 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) 149.174 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k))))))) 149.174 * * * * [progress]: [ 78 / 307 ] simplifiying candidate # 149.174 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2))) 149.174 * * [simplify]: iters left: 6 (11 enodes) 149.178 * * [simplify]: iters left: 5 (45 enodes) 149.186 * * [simplify]: iters left: 4 (72 enodes) 149.204 * * [simplify]: iters left: 3 (113 enodes) 149.227 * * [simplify]: iters left: 2 (204 enodes) 149.275 * * [simplify]: iters left: 1 (395 enodes) 149.453 * * [simplify]: Extracting #0: cost 1 inf + 0 149.453 * * [simplify]: Extracting #1: cost 6 inf + 0 149.453 * * [simplify]: Extracting #2: cost 39 inf + 0 149.454 * * [simplify]: Extracting #3: cost 135 inf + 2 149.455 * * [simplify]: Extracting #4: cost 177 inf + 1542 149.457 * * [simplify]: Extracting #5: cost 117 inf + 17543 149.466 * * [simplify]: Extracting #6: cost 17 inf + 59448 149.481 * * [simplify]: Extracting #7: cost 0 inf + 65189 149.499 * * [simplify]: Extracting #8: cost 0 inf + 60093 149.511 * * [simplify]: Extracting #9: cost 0 inf + 59612 149.524 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) 149.524 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 149.525 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 149.525 * * [simplify]: iters left: 6 (11 enodes) 149.528 * * [simplify]: iters left: 5 (45 enodes) 149.542 * * [simplify]: iters left: 4 (68 enodes) 149.553 * * [simplify]: iters left: 3 (110 enodes) 149.580 * * [simplify]: iters left: 2 (217 enodes) 149.627 * * [simplify]: iters left: 1 (409 enodes) 149.771 * * [simplify]: Extracting #0: cost 1 inf + 0 149.771 * * [simplify]: Extracting #1: cost 6 inf + 0 149.771 * * [simplify]: Extracting #2: cost 42 inf + 0 149.772 * * [simplify]: Extracting #3: cost 137 inf + 1 149.773 * * [simplify]: Extracting #4: cost 196 inf + 499 149.775 * * [simplify]: Extracting #5: cost 130 inf + 14855 149.783 * * [simplify]: Extracting #6: cost 19 inf + 60413 149.794 * * [simplify]: Extracting #7: cost 0 inf + 74413 149.811 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 149.811 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 149.812 * * * * [progress]: [ 79 / 307 ] simplifiying candidate # 149.812 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 149.812 * * [simplify]: iters left: 6 (16 enodes) 149.820 * * [simplify]: iters left: 5 (66 enodes) 149.834 * * [simplify]: iters left: 4 (97 enodes) 149.850 * * [simplify]: iters left: 3 (140 enodes) 149.899 * * [simplify]: iters left: 2 (241 enodes) 149.956 * * [simplify]: iters left: 1 (408 enodes) 150.081 * * [simplify]: Extracting #0: cost 1 inf + 0 150.081 * * [simplify]: Extracting #1: cost 6 inf + 0 150.082 * * [simplify]: Extracting #2: cost 13 inf + 0 150.082 * * [simplify]: Extracting #3: cost 41 inf + 0 150.082 * * [simplify]: Extracting #4: cost 118 inf + 83 150.083 * * [simplify]: Extracting #5: cost 173 inf + 581 150.085 * * [simplify]: Extracting #6: cost 133 inf + 8100 150.091 * * [simplify]: Extracting #7: cost 34 inf + 43015 150.105 * * [simplify]: Extracting #8: cost 1 inf + 67752 150.116 * * [simplify]: Extracting #9: cost 0 inf + 67530 150.130 * * [simplify]: Extracting #10: cost 0 inf + 67068 150.151 * [simplify]: Simplified to (/ (fabs (cbrt k)) (* (cbrt (pow (* (* PI n) 2) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI n) 2) (* 1/2 (- 1 k)))))) 150.151 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (* (cbrt (pow (* (* PI n) 2) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI n) 2) (* 1/2 (- 1 k)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 150.152 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 150.152 * * [simplify]: iters left: 6 (14 enodes) 150.160 * * [simplify]: iters left: 5 (57 enodes) 150.172 * * [simplify]: iters left: 4 (90 enodes) 150.187 * * [simplify]: iters left: 3 (128 enodes) 150.215 * * [simplify]: iters left: 2 (208 enodes) 150.267 * * [simplify]: iters left: 1 (391 enodes) 150.418 * * [simplify]: Extracting #0: cost 1 inf + 0 150.418 * * [simplify]: Extracting #1: cost 4 inf + 0 150.418 * * [simplify]: Extracting #2: cost 8 inf + 0 150.418 * * [simplify]: Extracting #3: cost 38 inf + 0 150.418 * * [simplify]: Extracting #4: cost 118 inf + 83 150.419 * * [simplify]: Extracting #5: cost 172 inf + 502 150.421 * * [simplify]: Extracting #6: cost 122 inf + 9456 150.425 * * [simplify]: Extracting #7: cost 67 inf + 20307 150.438 * * [simplify]: Extracting #8: cost 10 inf + 59541 150.458 * * [simplify]: Extracting #9: cost 0 inf + 69092 150.472 * * [simplify]: Extracting #10: cost 0 inf + 68670 150.484 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 150.484 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 150.484 * * * * [progress]: [ 80 / 307 ] simplifiying candidate # 150.485 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 150.485 * * [simplify]: iters left: 6 (15 enodes) 150.489 * * [simplify]: iters left: 5 (61 enodes) 150.499 * * [simplify]: iters left: 4 (91 enodes) 150.526 * * [simplify]: iters left: 3 (131 enodes) 150.571 * * [simplify]: iters left: 2 (227 enodes) 150.623 * * [simplify]: iters left: 1 (402 enodes) 150.746 * * [simplify]: Extracting #0: cost 1 inf + 0 150.747 * * [simplify]: Extracting #1: cost 4 inf + 0 150.747 * * [simplify]: Extracting #2: cost 10 inf + 0 150.747 * * [simplify]: Extracting #3: cost 43 inf + 0 150.747 * * [simplify]: Extracting #4: cost 131 inf + 83 150.748 * * [simplify]: Extracting #5: cost 174 inf + 871 150.750 * * [simplify]: Extracting #6: cost 127 inf + 7361 150.764 * * [simplify]: Extracting #7: cost 30 inf + 49101 150.788 * * [simplify]: Extracting #8: cost 0 inf + 68241 150.813 * * [simplify]: Extracting #9: cost 0 inf + 65917 150.839 * * [simplify]: Extracting #10: cost 0 inf + 64479 150.864 * [simplify]: Simplified to (/ (fabs (cbrt k)) (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) 150.864 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 150.865 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 150.865 * * [simplify]: iters left: 6 (14 enodes) 150.873 * * [simplify]: iters left: 5 (57 enodes) 150.891 * * [simplify]: iters left: 4 (91 enodes) 150.915 * * [simplify]: iters left: 3 (129 enodes) 150.939 * * [simplify]: iters left: 2 (209 enodes) 150.980 * * [simplify]: iters left: 1 (390 enodes) 151.104 * * [simplify]: Extracting #0: cost 1 inf + 0 151.104 * * [simplify]: Extracting #1: cost 4 inf + 0 151.104 * * [simplify]: Extracting #2: cost 9 inf + 0 151.104 * * [simplify]: Extracting #3: cost 42 inf + 0 151.105 * * [simplify]: Extracting #4: cost 132 inf + 83 151.106 * * [simplify]: Extracting #5: cost 162 inf + 545 151.110 * * [simplify]: Extracting #6: cost 100 inf + 9406 151.121 * * [simplify]: Extracting #7: cost 35 inf + 35916 151.141 * * [simplify]: Extracting #8: cost 2 inf + 63191 151.161 * * [simplify]: Extracting #9: cost 0 inf + 64444 151.185 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 151.185 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 151.186 * * * * [progress]: [ 81 / 307 ] simplifiying candidate # 151.186 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) 1) 151.186 * * [simplify]: iters left: 6 (6 enodes) 151.189 * * [simplify]: iters left: 5 (19 enodes) 151.195 * * [simplify]: iters left: 4 (23 enodes) 151.202 * * [simplify]: Extracting #0: cost 1 inf + 0 151.202 * * [simplify]: Extracting #1: cost 5 inf + 0 151.202 * * [simplify]: Extracting #2: cost 7 inf + 1 151.202 * * [simplify]: Extracting #3: cost 6 inf + 2 151.202 * * [simplify]: Extracting #4: cost 0 inf + 648 151.202 * [simplify]: Simplified to (fabs (cbrt k)) 151.202 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 151.203 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 151.203 * * [simplify]: iters left: 6 (13 enodes) 151.210 * * [simplify]: iters left: 5 (54 enodes) 151.228 * * [simplify]: iters left: 4 (85 enodes) 151.243 * * [simplify]: iters left: 3 (129 enodes) 151.268 * * [simplify]: iters left: 2 (231 enodes) 151.330 * * [simplify]: iters left: 1 (414 enodes) 151.490 * * [simplify]: Extracting #0: cost 1 inf + 0 151.490 * * [simplify]: Extracting #1: cost 6 inf + 0 151.490 * * [simplify]: Extracting #2: cost 41 inf + 0 151.490 * * [simplify]: Extracting #3: cost 135 inf + 1 151.491 * * [simplify]: Extracting #4: cost 173 inf + 954 151.492 * * [simplify]: Extracting #5: cost 145 inf + 3692 151.496 * * [simplify]: Extracting #6: cost 66 inf + 27125 151.510 * * [simplify]: Extracting #7: cost 7 inf + 68837 151.535 * * [simplify]: Extracting #8: cost 0 inf + 73696 151.560 * * [simplify]: Extracting #9: cost 0 inf + 72992 151.586 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 151.586 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 151.587 * * * * [progress]: [ 82 / 307 ] simplifiying candidate # 151.587 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 151.587 * * [simplify]: iters left: 6 (15 enodes) 151.595 * * [simplify]: iters left: 5 (64 enodes) 151.612 * * [simplify]: iters left: 4 (102 enodes) 151.629 * * [simplify]: iters left: 3 (161 enodes) 151.674 * * [simplify]: iters left: 2 (285 enodes) 151.760 * * [simplify]: Extracting #0: cost 1 inf + 0 151.760 * * [simplify]: Extracting #1: cost 6 inf + 0 151.761 * * [simplify]: Extracting #2: cost 28 inf + 0 151.761 * * [simplify]: Extracting #3: cost 96 inf + 1 151.762 * * [simplify]: Extracting #4: cost 120 inf + 544 151.765 * * [simplify]: Extracting #5: cost 72 inf + 6084 151.769 * * [simplify]: Extracting #6: cost 31 inf + 15311 151.774 * * [simplify]: Extracting #7: cost 2 inf + 34119 151.779 * * [simplify]: Extracting #8: cost 0 inf + 34703 151.784 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 151.784 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 151.785 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 151.785 * * [simplify]: iters left: 6 (14 enodes) 151.789 * * [simplify]: iters left: 5 (60 enodes) 151.802 * * [simplify]: iters left: 4 (98 enodes) 151.825 * * [simplify]: iters left: 3 (157 enodes) 151.854 * * [simplify]: iters left: 2 (285 enodes) 151.940 * * [simplify]: Extracting #0: cost 1 inf + 0 151.940 * * [simplify]: Extracting #1: cost 6 inf + 0 151.940 * * [simplify]: Extracting #2: cost 27 inf + 0 151.940 * * [simplify]: Extracting #3: cost 95 inf + 1 151.941 * * [simplify]: Extracting #4: cost 119 inf + 423 151.943 * * [simplify]: Extracting #5: cost 76 inf + 6184 151.951 * * [simplify]: Extracting #6: cost 13 inf + 27642 151.961 * * [simplify]: Extracting #7: cost 0 inf + 36726 151.968 * * [simplify]: Extracting #8: cost 0 inf + 36231 151.973 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) 151.973 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k))))))) 151.973 * * * * [progress]: [ 83 / 307 ] simplifiying candidate # 151.974 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 151.974 * * [simplify]: iters left: 6 (10 enodes) 151.977 * * [simplify]: iters left: 5 (41 enodes) 151.983 * * [simplify]: iters left: 4 (64 enodes) 151.994 * * [simplify]: iters left: 3 (106 enodes) 152.025 * * [simplify]: iters left: 2 (210 enodes) 152.079 * * [simplify]: iters left: 1 (396 enodes) 152.291 * * [simplify]: Extracting #0: cost 1 inf + 0 152.291 * * [simplify]: Extracting #1: cost 6 inf + 0 152.292 * * [simplify]: Extracting #2: cost 42 inf + 0 152.292 * * [simplify]: Extracting #3: cost 132 inf + 2 152.294 * * [simplify]: Extracting #4: cost 183 inf + 297 152.296 * * [simplify]: Extracting #5: cost 163 inf + 2741 152.303 * * [simplify]: Extracting #6: cost 80 inf + 18211 152.319 * * [simplify]: Extracting #7: cost 15 inf + 60923 152.334 * * [simplify]: Extracting #8: cost 0 inf + 73446 152.345 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 152.345 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 152.345 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 152.345 * * [simplify]: iters left: 6 (11 enodes) 152.349 * * [simplify]: iters left: 5 (45 enodes) 152.360 * * [simplify]: iters left: 4 (68 enodes) 152.382 * * [simplify]: iters left: 3 (110 enodes) 152.407 * * [simplify]: iters left: 2 (217 enodes) 152.462 * * [simplify]: iters left: 1 (409 enodes) 152.597 * * [simplify]: Extracting #0: cost 1 inf + 0 152.597 * * [simplify]: Extracting #1: cost 6 inf + 0 152.597 * * [simplify]: Extracting #2: cost 42 inf + 0 152.598 * * [simplify]: Extracting #3: cost 137 inf + 1 152.599 * * [simplify]: Extracting #4: cost 196 inf + 339 152.601 * * [simplify]: Extracting #5: cost 130 inf + 14615 152.620 * * [simplify]: Extracting #6: cost 19 inf + 59613 152.641 * * [simplify]: Extracting #7: cost 0 inf + 73413 152.663 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 152.663 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 152.663 * * * * [progress]: [ 84 / 307 ] simplifiying candidate # 152.663 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 152.664 * * [simplify]: iters left: 6 (15 enodes) 152.672 * * [simplify]: iters left: 5 (62 enodes) 152.691 * * [simplify]: iters left: 4 (93 enodes) 152.719 * * [simplify]: iters left: 3 (133 enodes) 152.752 * * [simplify]: iters left: 2 (229 enodes) 152.813 * * [simplify]: iters left: 1 (406 enodes) 152.972 * * [simplify]: Extracting #0: cost 1 inf + 0 152.972 * * [simplify]: Extracting #1: cost 6 inf + 0 152.972 * * [simplify]: Extracting #2: cost 12 inf + 0 152.972 * * [simplify]: Extracting #3: cost 40 inf + 0 152.973 * * [simplify]: Extracting #4: cost 111 inf + 84 152.975 * * [simplify]: Extracting #5: cost 172 inf + 382 152.977 * * [simplify]: Extracting #6: cost 149 inf + 2739 152.983 * * [simplify]: Extracting #7: cost 87 inf + 11867 152.990 * * [simplify]: Extracting #8: cost 21 inf + 46025 153.000 * * [simplify]: Extracting #9: cost 0 inf + 64833 153.011 * * [simplify]: Extracting #10: cost 0 inf + 64119 153.029 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 153.029 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 153.030 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 153.030 * * [simplify]: iters left: 6 (14 enodes) 153.038 * * [simplify]: iters left: 5 (57 enodes) 153.060 * * [simplify]: iters left: 4 (90 enodes) 153.086 * * [simplify]: iters left: 3 (128 enodes) 153.128 * * [simplify]: iters left: 2 (208 enodes) 153.182 * * [simplify]: iters left: 1 (391 enodes) 153.373 * * [simplify]: Extracting #0: cost 1 inf + 0 153.373 * * [simplify]: Extracting #1: cost 4 inf + 0 153.373 * * [simplify]: Extracting #2: cost 8 inf + 0 153.373 * * [simplify]: Extracting #3: cost 38 inf + 0 153.374 * * [simplify]: Extracting #4: cost 118 inf + 43 153.375 * * [simplify]: Extracting #5: cost 172 inf + 382 153.379 * * [simplify]: Extracting #6: cost 122 inf + 9216 153.387 * * [simplify]: Extracting #7: cost 67 inf + 20067 153.407 * * [simplify]: Extracting #8: cost 10 inf + 59301 153.426 * * [simplify]: Extracting #9: cost 0 inf + 68852 153.438 * * [simplify]: Extracting #10: cost 0 inf + 68430 153.448 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 153.448 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (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))))))) 153.449 * * * * [progress]: [ 85 / 307 ] simplifiying candidate # 153.449 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 153.449 * * [simplify]: iters left: 6 (14 enodes) 153.453 * * [simplify]: iters left: 5 (57 enodes) 153.465 * * [simplify]: iters left: 4 (91 enodes) 153.492 * * [simplify]: iters left: 3 (129 enodes) 153.517 * * [simplify]: iters left: 2 (209 enodes) 153.581 * * [simplify]: iters left: 1 (390 enodes) 153.768 * * [simplify]: Extracting #0: cost 1 inf + 0 153.768 * * [simplify]: Extracting #1: cost 4 inf + 0 153.768 * * [simplify]: Extracting #2: cost 9 inf + 0 153.768 * * [simplify]: Extracting #3: cost 42 inf + 0 153.768 * * [simplify]: Extracting #4: cost 132 inf + 43 153.769 * * [simplify]: Extracting #5: cost 162 inf + 425 153.771 * * [simplify]: Extracting #6: cost 100 inf + 9246 153.777 * * [simplify]: Extracting #7: cost 35 inf + 35676 153.787 * * [simplify]: Extracting #8: cost 2 inf + 62951 153.799 * * [simplify]: Extracting #9: cost 0 inf + 64204 153.821 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 153.821 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 153.821 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 153.822 * * [simplify]: iters left: 6 (14 enodes) 153.826 * * [simplify]: iters left: 5 (57 enodes) 153.839 * * [simplify]: iters left: 4 (91 enodes) 153.854 * * [simplify]: iters left: 3 (129 enodes) 153.896 * * [simplify]: iters left: 2 (209 enodes) 153.962 * * [simplify]: iters left: 1 (390 enodes) 154.072 * * [simplify]: Extracting #0: cost 1 inf + 0 154.072 * * [simplify]: Extracting #1: cost 4 inf + 0 154.072 * * [simplify]: Extracting #2: cost 9 inf + 0 154.072 * * [simplify]: Extracting #3: cost 42 inf + 0 154.072 * * [simplify]: Extracting #4: cost 132 inf + 43 154.073 * * [simplify]: Extracting #5: cost 162 inf + 425 154.075 * * [simplify]: Extracting #6: cost 100 inf + 9246 154.086 * * [simplify]: Extracting #7: cost 35 inf + 35676 154.111 * * [simplify]: Extracting #8: cost 2 inf + 62951 154.132 * * [simplify]: Extracting #9: cost 0 inf + 64204 154.153 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 154.153 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 154.153 * * * * [progress]: [ 86 / 307 ] simplifiying candidate # 154.153 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 154.153 * * [simplify]: iters left: 4 (5 enodes) 154.156 * * [simplify]: iters left: 3 (15 enodes) 154.161 * * [simplify]: iters left: 2 (17 enodes) 154.166 * * [simplify]: iters left: 1 (19 enodes) 154.171 * * [simplify]: Extracting #0: cost 1 inf + 0 154.171 * * [simplify]: Extracting #1: cost 4 inf + 0 154.171 * * [simplify]: Extracting #2: cost 5 inf + 1 154.171 * * [simplify]: Extracting #3: cost 4 inf + 2 154.171 * * [simplify]: Extracting #4: cost 1 inf + 165 154.171 * * [simplify]: Extracting #5: cost 0 inf + 246 154.171 * [simplify]: Simplified to (sqrt (sqrt k)) 154.171 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 154.172 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 154.172 * * [simplify]: iters left: 6 (13 enodes) 154.179 * * [simplify]: iters left: 5 (54 enodes) 154.196 * * [simplify]: iters left: 4 (85 enodes) 154.222 * * [simplify]: iters left: 3 (129 enodes) 154.270 * * [simplify]: iters left: 2 (231 enodes) 154.349 * * [simplify]: iters left: 1 (414 enodes) 154.536 * * [simplify]: Extracting #0: cost 1 inf + 0 154.536 * * [simplify]: Extracting #1: cost 6 inf + 0 154.536 * * [simplify]: Extracting #2: cost 41 inf + 0 154.536 * * [simplify]: Extracting #3: cost 135 inf + 1 154.537 * * [simplify]: Extracting #4: cost 173 inf + 834 154.538 * * [simplify]: Extracting #5: cost 145 inf + 3532 154.542 * * [simplify]: Extracting #6: cost 66 inf + 26685 154.553 * * [simplify]: Extracting #7: cost 7 inf + 67877 154.568 * * [simplify]: Extracting #8: cost 0 inf + 72696 154.596 * * [simplify]: Extracting #9: cost 0 inf + 71992 154.616 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 154.616 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 154.616 * * * * [progress]: [ 87 / 307 ] simplifiying candidate # 154.616 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 154.617 * * [simplify]: iters left: 6 (14 enodes) 154.621 * * [simplify]: iters left: 5 (60 enodes) 154.632 * * [simplify]: iters left: 4 (98 enodes) 154.655 * * [simplify]: iters left: 3 (157 enodes) 154.708 * * [simplify]: iters left: 2 (285 enodes) 154.771 * * [simplify]: Extracting #0: cost 1 inf + 0 154.771 * * [simplify]: Extracting #1: cost 6 inf + 0 154.771 * * [simplify]: Extracting #2: cost 27 inf + 0 154.772 * * [simplify]: Extracting #3: cost 95 inf + 1 154.772 * * [simplify]: Extracting #4: cost 119 inf + 343 154.773 * * [simplify]: Extracting #5: cost 76 inf + 6024 154.778 * * [simplify]: Extracting #6: cost 13 inf + 27082 154.786 * * [simplify]: Extracting #7: cost 0 inf + 36046 154.792 * * [simplify]: Extracting #8: cost 0 inf + 35551 154.800 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) 154.800 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 154.800 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 154.800 * * [simplify]: iters left: 6 (14 enodes) 154.805 * * [simplify]: iters left: 5 (60 enodes) 154.817 * * [simplify]: iters left: 4 (98 enodes) 154.844 * * [simplify]: iters left: 3 (157 enodes) 154.877 * * [simplify]: iters left: 2 (285 enodes) 154.939 * * [simplify]: Extracting #0: cost 1 inf + 0 154.939 * * [simplify]: Extracting #1: cost 6 inf + 0 154.939 * * [simplify]: Extracting #2: cost 27 inf + 0 154.939 * * [simplify]: Extracting #3: cost 95 inf + 1 154.940 * * [simplify]: Extracting #4: cost 119 inf + 343 154.941 * * [simplify]: Extracting #5: cost 76 inf + 6024 154.945 * * [simplify]: Extracting #6: cost 13 inf + 27082 154.953 * * [simplify]: Extracting #7: cost 0 inf + 36046 154.963 * * [simplify]: Extracting #8: cost 0 inf + 35551 154.974 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) 154.974 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k))))))) 154.974 * * * * [progress]: [ 88 / 307 ] simplifiying candidate # 154.974 * [simplify]: Simplifying (/ (sqrt 1) (pow n (/ (- 1 k) 2))) 154.974 * * [simplify]: iters left: 6 (9 enodes) 154.981 * * [simplify]: iters left: 5 (38 enodes) 154.997 * * [simplify]: iters left: 4 (61 enodes) 155.008 * * [simplify]: iters left: 3 (103 enodes) 155.029 * * [simplify]: iters left: 2 (207 enodes) 155.076 * * [simplify]: iters left: 1 (396 enodes) 155.267 * * [simplify]: Extracting #0: cost 1 inf + 0 155.267 * * [simplify]: Extracting #1: cost 6 inf + 0 155.267 * * [simplify]: Extracting #2: cost 43 inf + 1 155.268 * * [simplify]: Extracting #3: cost 137 inf + 3 155.270 * * [simplify]: Extracting #4: cost 191 inf + 10 155.272 * * [simplify]: Extracting #5: cost 158 inf + 3617 155.275 * * [simplify]: Extracting #6: cost 91 inf + 13055 155.281 * * [simplify]: Extracting #7: cost 25 inf + 53020 155.295 * * [simplify]: Extracting #8: cost 1 inf + 74122 155.312 * * [simplify]: Extracting #9: cost 0 inf + 75039 155.324 * [simplify]: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 155.324 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 155.325 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 155.325 * * [simplify]: iters left: 6 (10 enodes) 155.328 * * [simplify]: iters left: 5 (42 enodes) 155.335 * * [simplify]: iters left: 4 (65 enodes) 155.347 * * [simplify]: iters left: 3 (104 enodes) 155.375 * * [simplify]: iters left: 2 (206 enodes) 155.433 * * [simplify]: iters left: 1 (397 enodes) 155.614 * * [simplify]: Extracting #0: cost 1 inf + 0 155.614 * * [simplify]: Extracting #1: cost 6 inf + 0 155.615 * * [simplify]: Extracting #2: cost 44 inf + 0 155.615 * * [simplify]: Extracting #3: cost 137 inf + 84 155.616 * * [simplify]: Extracting #4: cost 186 inf + 1506 155.619 * * [simplify]: Extracting #5: cost 119 inf + 11102 155.626 * * [simplify]: Extracting #6: cost 30 inf + 56431 155.638 * * [simplify]: Extracting #7: cost 0 inf + 79161 155.656 * * [simplify]: Extracting #8: cost 0 inf + 76983 155.674 * * [simplify]: Extracting #9: cost 0 inf + 76243 155.685 * * [simplify]: Extracting #10: cost 0 inf + 75754 155.703 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 155.703 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 155.703 * * * * [progress]: [ 89 / 307 ] simplifiying candidate # 155.704 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 155.704 * * [simplify]: iters left: 6 (14 enodes) 155.712 * * [simplify]: iters left: 5 (59 enodes) 155.722 * * [simplify]: iters left: 4 (97 enodes) 155.737 * * [simplify]: iters left: 3 (138 enodes) 155.779 * * [simplify]: iters left: 2 (218 enodes) 155.842 * * [simplify]: iters left: 1 (401 enodes) 156.035 * * [simplify]: Extracting #0: cost 1 inf + 0 156.035 * * [simplify]: Extracting #1: cost 7 inf + 0 156.035 * * [simplify]: Extracting #2: cost 11 inf + 1 156.035 * * [simplify]: Extracting #3: cost 38 inf + 1 156.036 * * [simplify]: Extracting #4: cost 109 inf + 2 156.037 * * [simplify]: Extracting #5: cost 168 inf + 218 156.038 * * [simplify]: Extracting #6: cost 168 inf + 645 156.042 * * [simplify]: Extracting #7: cost 100 inf + 8005 156.054 * * [simplify]: Extracting #8: cost 30 inf + 41208 156.068 * * [simplify]: Extracting #9: cost 0 inf + 64937 156.079 * * [simplify]: Extracting #10: cost 0 inf + 64643 156.089 * [simplify]: Simplified to (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 156.089 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (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))))))) 156.089 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 156.090 * * [simplify]: iters left: 6 (13 enodes) 156.094 * * [simplify]: iters left: 5 (54 enodes) 156.103 * * [simplify]: iters left: 4 (87 enodes) 156.118 * * [simplify]: iters left: 3 (129 enodes) 156.153 * * [simplify]: iters left: 2 (210 enodes) 156.204 * * [simplify]: iters left: 1 (393 enodes) 156.358 * * [simplify]: Extracting #0: cost 1 inf + 0 156.358 * * [simplify]: Extracting #1: cost 4 inf + 0 156.358 * * [simplify]: Extracting #2: cost 8 inf + 0 156.358 * * [simplify]: Extracting #3: cost 34 inf + 1 156.359 * * [simplify]: Extracting #4: cost 113 inf + 43 156.360 * * [simplify]: Extracting #5: cost 161 inf + 301 156.362 * * [simplify]: Extracting #6: cost 119 inf + 6048 156.365 * * [simplify]: Extracting #7: cost 59 inf + 18888 156.373 * * [simplify]: Extracting #8: cost 14 inf + 51212 156.384 * * [simplify]: Extracting #9: cost 0 inf + 64342 156.402 * * [simplify]: Extracting #10: cost 0 inf + 64171 156.421 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 156.421 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (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))))))) 156.421 * * * * [progress]: [ 90 / 307 ] simplifiying candidate # 156.422 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 156.422 * * [simplify]: iters left: 6 (13 enodes) 156.427 * * [simplify]: iters left: 5 (54 enodes) 156.435 * * [simplify]: iters left: 4 (88 enodes) 156.450 * * [simplify]: iters left: 3 (126 enodes) 156.488 * * [simplify]: iters left: 2 (206 enodes) 156.532 * * [simplify]: iters left: 1 (396 enodes) 156.704 * * [simplify]: Extracting #0: cost 1 inf + 0 156.704 * * [simplify]: Extracting #1: cost 4 inf + 0 156.704 * * [simplify]: Extracting #2: cost 6 inf + 1 156.704 * * [simplify]: Extracting #3: cost 36 inf + 1 156.705 * * [simplify]: Extracting #4: cost 126 inf + 2 156.706 * * [simplify]: Extracting #5: cost 162 inf + 177 156.708 * * [simplify]: Extracting #6: cost 160 inf + 601 156.711 * * [simplify]: Extracting #7: cost 101 inf + 9453 156.723 * * [simplify]: Extracting #8: cost 37 inf + 34655 156.741 * * [simplify]: Extracting #9: cost 0 inf + 65125 156.754 * [simplify]: Simplified to (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 156.754 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 156.754 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 156.754 * * [simplify]: iters left: 6 (13 enodes) 156.758 * * [simplify]: iters left: 5 (54 enodes) 156.767 * * [simplify]: iters left: 4 (88 enodes) 156.781 * * [simplify]: iters left: 3 (126 enodes) 156.824 * * [simplify]: iters left: 2 (206 enodes) 156.875 * * [simplify]: iters left: 1 (396 enodes) 157.436 * * [simplify]: Extracting #0: cost 1 inf + 0 157.436 * * [simplify]: Extracting #1: cost 4 inf + 0 157.436 * * [simplify]: Extracting #2: cost 9 inf + 0 157.437 * * [simplify]: Extracting #3: cost 38 inf + 1 157.437 * * [simplify]: Extracting #4: cost 128 inf + 43 157.439 * * [simplify]: Extracting #5: cost 155 inf + 675 157.443 * * [simplify]: Extracting #6: cost 104 inf + 8174 157.455 * * [simplify]: Extracting #7: cost 37 inf + 35801 157.465 * * [simplify]: Extracting #8: cost 0 inf + 67552 157.476 * * [simplify]: Extracting #9: cost 0 inf + 65556 157.486 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 157.486 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 157.486 * * * * [progress]: [ 91 / 307 ] simplifiying candidate # 157.487 * [simplify]: Simplifying (/ (sqrt 1) 1) 157.487 * * [simplify]: iters left: 3 (3 enodes) 157.489 * * [simplify]: iters left: 2 (9 enodes) 157.494 * * [simplify]: iters left: 1 (11 enodes) 157.496 * * [simplify]: Extracting #0: cost 1 inf + 0 157.496 * * [simplify]: Extracting #1: cost 0 inf + 1 157.496 * [simplify]: Simplified to 1 157.496 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 157.496 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 157.496 * * [simplify]: iters left: 6 (12 enodes) 157.500 * * [simplify]: iters left: 5 (51 enodes) 157.518 * * [simplify]: iters left: 4 (86 enodes) 157.545 * * [simplify]: iters left: 3 (133 enodes) 157.588 * * [simplify]: iters left: 2 (224 enodes) 157.670 * * [simplify]: iters left: 1 (420 enodes) 157.802 * * [simplify]: Extracting #0: cost 1 inf + 0 157.802 * * [simplify]: Extracting #1: cost 6 inf + 0 157.802 * * [simplify]: Extracting #2: cost 43 inf + 0 157.803 * * [simplify]: Extracting #3: cost 140 inf + 84 157.803 * * [simplify]: Extracting #4: cost 181 inf + 549 157.805 * * [simplify]: Extracting #5: cost 140 inf + 5333 157.809 * * [simplify]: Extracting #6: cost 77 inf + 20391 157.817 * * [simplify]: Extracting #7: cost 23 inf + 59474 157.838 * * [simplify]: Extracting #8: cost 0 inf + 81348 157.849 * * [simplify]: Extracting #9: cost 0 inf + 81231 157.861 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 157.861 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 157.861 * * * * [progress]: [ 92 / 307 ] simplifiying candidate # 157.861 * [simplify]: Simplifying (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 157.862 * * [simplify]: iters left: 6 (13 enodes) 157.866 * * [simplify]: iters left: 5 (57 enodes) 157.888 * * [simplify]: iters left: 4 (95 enodes) 157.919 * * [simplify]: iters left: 3 (150 enodes) 157.968 * * [simplify]: iters left: 2 (262 enodes) 158.066 * * [simplify]: iters left: 1 (476 enodes) 158.300 * * [simplify]: Extracting #0: cost 1 inf + 0 158.300 * * [simplify]: Extracting #1: cost 6 inf + 0 158.300 * * [simplify]: Extracting #2: cost 38 inf + 1 158.301 * * [simplify]: Extracting #3: cost 142 inf + 2 158.302 * * [simplify]: Extracting #4: cost 208 inf + 179 158.305 * * [simplify]: Extracting #5: cost 189 inf + 2710 158.314 * * [simplify]: Extracting #6: cost 72 inf + 27559 158.337 * * [simplify]: Extracting #7: cost 12 inf + 68436 158.362 * * [simplify]: Extracting #8: cost 0 inf + 76256 158.393 * * [simplify]: Extracting #9: cost 0 inf + 75753 158.419 * * [simplify]: Extracting #10: cost 0 inf + 75673 158.444 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 158.444 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 158.444 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 158.445 * * [simplify]: iters left: 6 (13 enodes) 158.452 * * [simplify]: iters left: 5 (57 enodes) 158.472 * * [simplify]: iters left: 4 (95 enodes) 158.499 * * [simplify]: iters left: 3 (150 enodes) 158.533 * * [simplify]: iters left: 2 (262 enodes) 158.613 * * [simplify]: iters left: 1 (476 enodes) 158.788 * * [simplify]: Extracting #0: cost 1 inf + 0 158.788 * * [simplify]: Extracting #1: cost 6 inf + 0 158.788 * * [simplify]: Extracting #2: cost 41 inf + 0 158.788 * * [simplify]: Extracting #3: cost 143 inf + 84 158.789 * * [simplify]: Extracting #4: cost 191 inf + 2155 158.796 * * [simplify]: Extracting #5: cost 124 inf + 11911 158.804 * * [simplify]: Extracting #6: cost 35 inf + 52758 158.818 * * [simplify]: Extracting #7: cost 2 inf + 78239 158.831 * * [simplify]: Extracting #8: cost 0 inf + 78600 158.853 * * [simplify]: Extracting #9: cost 0 inf + 78177 158.872 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 158.872 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))))) 158.872 * * * * [progress]: [ 93 / 307 ] simplifiying candidate # 158.872 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 158.872 * * [simplify]: iters left: 6 (10 enodes) 158.876 * * [simplify]: iters left: 5 (41 enodes) 158.883 * * [simplify]: iters left: 4 (64 enodes) 158.895 * * [simplify]: iters left: 3 (106 enodes) 158.931 * * [simplify]: iters left: 2 (210 enodes) 158.997 * * [simplify]: iters left: 1 (396 enodes) 159.177 * * [simplify]: Extracting #0: cost 1 inf + 0 159.177 * * [simplify]: Extracting #1: cost 6 inf + 0 159.177 * * [simplify]: Extracting #2: cost 42 inf + 0 159.178 * * [simplify]: Extracting #3: cost 132 inf + 2 159.180 * * [simplify]: Extracting #4: cost 183 inf + 297 159.182 * * [simplify]: Extracting #5: cost 163 inf + 2741 159.189 * * [simplify]: Extracting #6: cost 80 inf + 18211 159.205 * * [simplify]: Extracting #7: cost 15 inf + 60923 159.227 * * [simplify]: Extracting #8: cost 0 inf + 73446 159.253 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 159.253 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 159.253 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 159.254 * * [simplify]: iters left: 6 (11 enodes) 159.260 * * [simplify]: iters left: 5 (45 enodes) 159.275 * * [simplify]: iters left: 4 (68 enodes) 159.293 * * [simplify]: iters left: 3 (110 enodes) 159.317 * * [simplify]: iters left: 2 (217 enodes) 159.399 * * [simplify]: iters left: 1 (409 enodes) 159.583 * * [simplify]: Extracting #0: cost 1 inf + 0 159.583 * * [simplify]: Extracting #1: cost 6 inf + 0 159.583 * * [simplify]: Extracting #2: cost 42 inf + 0 159.584 * * [simplify]: Extracting #3: cost 137 inf + 1 159.590 * * [simplify]: Extracting #4: cost 196 inf + 339 159.595 * * [simplify]: Extracting #5: cost 130 inf + 14615 159.610 * * [simplify]: Extracting #6: cost 19 inf + 59613 159.621 * * [simplify]: Extracting #7: cost 0 inf + 73413 159.633 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 159.633 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 159.633 * * * * [progress]: [ 94 / 307 ] simplifiying candidate # 159.633 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 159.633 * * [simplify]: iters left: 6 (15 enodes) 159.637 * * [simplify]: iters left: 5 (62 enodes) 159.654 * * [simplify]: iters left: 4 (93 enodes) 159.668 * * [simplify]: iters left: 3 (133 enodes) 159.700 * * [simplify]: iters left: 2 (229 enodes) 159.757 * * [simplify]: iters left: 1 (406 enodes) 159.922 * * [simplify]: Extracting #0: cost 1 inf + 0 159.922 * * [simplify]: Extracting #1: cost 6 inf + 0 159.922 * * [simplify]: Extracting #2: cost 12 inf + 0 159.923 * * [simplify]: Extracting #3: cost 40 inf + 0 159.923 * * [simplify]: Extracting #4: cost 111 inf + 84 159.924 * * [simplify]: Extracting #5: cost 172 inf + 382 159.925 * * [simplify]: Extracting #6: cost 149 inf + 2739 159.927 * * [simplify]: Extracting #7: cost 87 inf + 11867 159.934 * * [simplify]: Extracting #8: cost 21 inf + 46025 159.945 * * [simplify]: Extracting #9: cost 0 inf + 64833 159.956 * * [simplify]: Extracting #10: cost 0 inf + 64119 159.970 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 159.970 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 159.970 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 159.970 * * [simplify]: iters left: 6 (14 enodes) 159.975 * * [simplify]: iters left: 5 (57 enodes) 159.988 * * [simplify]: iters left: 4 (90 enodes) 160.015 * * [simplify]: iters left: 3 (128 enodes) 160.053 * * [simplify]: iters left: 2 (208 enodes) 160.107 * * [simplify]: iters left: 1 (391 enodes) 160.272 * * [simplify]: Extracting #0: cost 1 inf + 0 160.272 * * [simplify]: Extracting #1: cost 4 inf + 0 160.272 * * [simplify]: Extracting #2: cost 8 inf + 0 160.272 * * [simplify]: Extracting #3: cost 38 inf + 0 160.273 * * [simplify]: Extracting #4: cost 118 inf + 43 160.278 * * [simplify]: Extracting #5: cost 172 inf + 382 160.282 * * [simplify]: Extracting #6: cost 122 inf + 9216 160.289 * * [simplify]: Extracting #7: cost 67 inf + 20067 160.305 * * [simplify]: Extracting #8: cost 10 inf + 59301 160.325 * * [simplify]: Extracting #9: cost 0 inf + 68852 160.344 * * [simplify]: Extracting #10: cost 0 inf + 68430 160.364 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 160.364 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (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))))))) 160.364 * * * * [progress]: [ 95 / 307 ] simplifiying candidate # 160.364 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 160.365 * * [simplify]: iters left: 6 (14 enodes) 160.372 * * [simplify]: iters left: 5 (57 enodes) 160.382 * * [simplify]: iters left: 4 (91 enodes) 160.396 * * [simplify]: iters left: 3 (129 enodes) 160.429 * * [simplify]: iters left: 2 (209 enodes) 160.482 * * [simplify]: iters left: 1 (390 enodes) 160.649 * * [simplify]: Extracting #0: cost 1 inf + 0 160.649 * * [simplify]: Extracting #1: cost 4 inf + 0 160.649 * * [simplify]: Extracting #2: cost 9 inf + 0 160.649 * * [simplify]: Extracting #3: cost 42 inf + 0 160.650 * * [simplify]: Extracting #4: cost 132 inf + 43 160.651 * * [simplify]: Extracting #5: cost 162 inf + 425 160.655 * * [simplify]: Extracting #6: cost 100 inf + 9246 160.666 * * [simplify]: Extracting #7: cost 35 inf + 35676 160.687 * * [simplify]: Extracting #8: cost 2 inf + 62951 160.708 * * [simplify]: Extracting #9: cost 0 inf + 64204 160.733 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 160.734 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 160.734 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 160.734 * * [simplify]: iters left: 6 (14 enodes) 160.742 * * [simplify]: iters left: 5 (57 enodes) 160.759 * * [simplify]: iters left: 4 (91 enodes) 160.773 * * [simplify]: iters left: 3 (129 enodes) 160.805 * * [simplify]: iters left: 2 (209 enodes) 160.877 * * [simplify]: iters left: 1 (390 enodes) 161.031 * * [simplify]: Extracting #0: cost 1 inf + 0 161.031 * * [simplify]: Extracting #1: cost 4 inf + 0 161.031 * * [simplify]: Extracting #2: cost 9 inf + 0 161.031 * * [simplify]: Extracting #3: cost 42 inf + 0 161.032 * * [simplify]: Extracting #4: cost 132 inf + 43 161.032 * * [simplify]: Extracting #5: cost 162 inf + 425 161.039 * * [simplify]: Extracting #6: cost 100 inf + 9246 161.049 * * [simplify]: Extracting #7: cost 35 inf + 35676 161.059 * * [simplify]: Extracting #8: cost 2 inf + 62951 161.069 * * [simplify]: Extracting #9: cost 0 inf + 64204 161.080 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 161.080 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 161.081 * * * * [progress]: [ 96 / 307 ] simplifiying candidate # 161.081 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 161.081 * * [simplify]: iters left: 4 (5 enodes) 161.082 * * [simplify]: iters left: 3 (15 enodes) 161.085 * * [simplify]: iters left: 2 (17 enodes) 161.088 * * [simplify]: iters left: 1 (19 enodes) 161.093 * * [simplify]: Extracting #0: cost 1 inf + 0 161.093 * * [simplify]: Extracting #1: cost 4 inf + 0 161.093 * * [simplify]: Extracting #2: cost 5 inf + 1 161.093 * * [simplify]: Extracting #3: cost 4 inf + 2 161.093 * * [simplify]: Extracting #4: cost 1 inf + 165 161.093 * * [simplify]: Extracting #5: cost 0 inf + 246 161.093 * [simplify]: Simplified to (sqrt (sqrt k)) 161.093 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 161.094 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 161.094 * * [simplify]: iters left: 6 (13 enodes) 161.101 * * [simplify]: iters left: 5 (54 enodes) 161.118 * * [simplify]: iters left: 4 (85 enodes) 161.145 * * [simplify]: iters left: 3 (129 enodes) 161.193 * * [simplify]: iters left: 2 (231 enodes) 161.271 * * [simplify]: iters left: 1 (414 enodes) 161.494 * * [simplify]: Extracting #0: cost 1 inf + 0 161.494 * * [simplify]: Extracting #1: cost 6 inf + 0 161.494 * * [simplify]: Extracting #2: cost 41 inf + 0 161.495 * * [simplify]: Extracting #3: cost 135 inf + 1 161.496 * * [simplify]: Extracting #4: cost 173 inf + 834 161.499 * * [simplify]: Extracting #5: cost 145 inf + 3532 161.507 * * [simplify]: Extracting #6: cost 66 inf + 26685 161.526 * * [simplify]: Extracting #7: cost 7 inf + 67877 161.541 * * [simplify]: Extracting #8: cost 0 inf + 72696 161.554 * * [simplify]: Extracting #9: cost 0 inf + 71992 161.567 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 161.567 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 161.567 * * * * [progress]: [ 97 / 307 ] simplifiying candidate # 161.567 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 161.567 * * [simplify]: iters left: 6 (14 enodes) 161.572 * * [simplify]: iters left: 5 (60 enodes) 161.582 * * [simplify]: iters left: 4 (98 enodes) 161.597 * * [simplify]: iters left: 3 (157 enodes) 161.637 * * [simplify]: iters left: 2 (285 enodes) 161.739 * * [simplify]: Extracting #0: cost 1 inf + 0 161.739 * * [simplify]: Extracting #1: cost 6 inf + 0 161.739 * * [simplify]: Extracting #2: cost 27 inf + 0 161.740 * * [simplify]: Extracting #3: cost 95 inf + 1 161.740 * * [simplify]: Extracting #4: cost 119 inf + 343 161.743 * * [simplify]: Extracting #5: cost 76 inf + 6024 161.750 * * [simplify]: Extracting #6: cost 13 inf + 27082 161.764 * * [simplify]: Extracting #7: cost 0 inf + 36046 161.769 * * [simplify]: Extracting #8: cost 0 inf + 35551 161.775 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) 161.775 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 161.775 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 161.775 * * [simplify]: iters left: 6 (14 enodes) 161.780 * * [simplify]: iters left: 5 (60 enodes) 161.790 * * [simplify]: iters left: 4 (98 enodes) 161.816 * * [simplify]: iters left: 3 (157 enodes) 161.871 * * [simplify]: iters left: 2 (285 enodes) 161.946 * * [simplify]: Extracting #0: cost 1 inf + 0 161.946 * * [simplify]: Extracting #1: cost 6 inf + 0 161.946 * * [simplify]: Extracting #2: cost 27 inf + 0 161.946 * * [simplify]: Extracting #3: cost 95 inf + 1 161.946 * * [simplify]: Extracting #4: cost 119 inf + 343 161.948 * * [simplify]: Extracting #5: cost 76 inf + 6024 161.952 * * [simplify]: Extracting #6: cost 13 inf + 27082 161.957 * * [simplify]: Extracting #7: cost 0 inf + 36046 161.963 * * [simplify]: Extracting #8: cost 0 inf + 35551 161.970 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) 161.970 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k))))))) 161.970 * * * * [progress]: [ 98 / 307 ] simplifiying candidate # 161.971 * [simplify]: Simplifying (/ 1 (pow n (/ (- 1 k) 2))) 161.971 * * [simplify]: iters left: 6 (8 enodes) 161.975 * * [simplify]: iters left: 5 (35 enodes) 161.987 * * [simplify]: iters left: 4 (58 enodes) 162.007 * * [simplify]: iters left: 3 (97 enodes) 162.037 * * [simplify]: iters left: 2 (199 enodes) 162.091 * * [simplify]: iters left: 1 (377 enodes) 162.267 * * [simplify]: Extracting #0: cost 1 inf + 0 162.267 * * [simplify]: Extracting #1: cost 6 inf + 0 162.267 * * [simplify]: Extracting #2: cost 37 inf + 1 162.268 * * [simplify]: Extracting #3: cost 128 inf + 3 162.269 * * [simplify]: Extracting #4: cost 176 inf + 9 162.271 * * [simplify]: Extracting #5: cost 157 inf + 1998 162.276 * * [simplify]: Extracting #6: cost 92 inf + 12229 162.289 * * [simplify]: Extracting #7: cost 18 inf + 52519 162.308 * * [simplify]: Extracting #8: cost 0 inf + 66213 162.323 * * [simplify]: Extracting #9: cost 0 inf + 66007 162.333 * [simplify]: Simplified to (/ 1 (pow n (* 1/2 (- 1 k)))) 162.333 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow n (* 1/2 (- 1 k)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 162.334 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 162.334 * * [simplify]: iters left: 6 (10 enodes) 162.337 * * [simplify]: iters left: 5 (42 enodes) 162.344 * * [simplify]: iters left: 4 (65 enodes) 162.361 * * [simplify]: iters left: 3 (104 enodes) 162.385 * * [simplify]: iters left: 2 (206 enodes) 162.437 * * [simplify]: iters left: 1 (397 enodes) 162.570 * * [simplify]: Extracting #0: cost 1 inf + 0 162.570 * * [simplify]: Extracting #1: cost 6 inf + 0 162.570 * * [simplify]: Extracting #2: cost 44 inf + 0 162.570 * * [simplify]: Extracting #3: cost 137 inf + 84 162.571 * * [simplify]: Extracting #4: cost 186 inf + 1506 162.574 * * [simplify]: Extracting #5: cost 119 inf + 11102 162.581 * * [simplify]: Extracting #6: cost 30 inf + 56431 162.593 * * [simplify]: Extracting #7: cost 0 inf + 79161 162.605 * * [simplify]: Extracting #8: cost 0 inf + 76983 162.616 * * [simplify]: Extracting #9: cost 0 inf + 76243 162.628 * * [simplify]: Extracting #10: cost 0 inf + 75754 162.646 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 162.646 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 162.646 * * * * [progress]: [ 99 / 307 ] simplifiying candidate # 162.647 * [simplify]: Simplifying (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 162.647 * * [simplify]: iters left: 6 (13 enodes) 162.657 * * [simplify]: iters left: 5 (56 enodes) 162.674 * * [simplify]: iters left: 4 (91 enodes) 162.700 * * [simplify]: iters left: 3 (129 enodes) 162.739 * * [simplify]: iters left: 2 (209 enodes) 162.790 * * [simplify]: iters left: 1 (395 enodes) 162.933 * * [simplify]: Extracting #0: cost 1 inf + 0 162.933 * * [simplify]: Extracting #1: cost 6 inf + 0 162.933 * * [simplify]: Extracting #2: cost 9 inf + 1 162.933 * * [simplify]: Extracting #3: cost 37 inf + 1 162.933 * * [simplify]: Extracting #4: cost 121 inf + 2 162.934 * * [simplify]: Extracting #5: cost 170 inf + 301 162.935 * * [simplify]: Extracting #6: cost 162 inf + 1679 162.941 * * [simplify]: Extracting #7: cost 80 inf + 16077 162.949 * * [simplify]: Extracting #8: cost 29 inf + 45015 162.965 * * [simplify]: Extracting #9: cost 0 inf + 71177 162.976 * * [simplify]: Extracting #10: cost 0 inf + 70426 162.987 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))))) 162.987 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 162.987 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 162.988 * * [simplify]: iters left: 6 (13 enodes) 162.992 * * [simplify]: iters left: 5 (54 enodes) 163.009 * * [simplify]: iters left: 4 (87 enodes) 163.038 * * [simplify]: iters left: 3 (129 enodes) 163.083 * * [simplify]: iters left: 2 (210 enodes) 163.160 * * [simplify]: iters left: 1 (393 enodes) 163.306 * * [simplify]: Extracting #0: cost 1 inf + 0 163.306 * * [simplify]: Extracting #1: cost 4 inf + 0 163.306 * * [simplify]: Extracting #2: cost 8 inf + 0 163.306 * * [simplify]: Extracting #3: cost 34 inf + 1 163.307 * * [simplify]: Extracting #4: cost 113 inf + 43 163.308 * * [simplify]: Extracting #5: cost 161 inf + 301 163.311 * * [simplify]: Extracting #6: cost 119 inf + 6048 163.318 * * [simplify]: Extracting #7: cost 59 inf + 18888 163.334 * * [simplify]: Extracting #8: cost 14 inf + 51212 163.347 * * [simplify]: Extracting #9: cost 0 inf + 64342 163.358 * * [simplify]: Extracting #10: cost 0 inf + 64171 163.377 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 163.377 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (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))))))) 163.378 * * * * [progress]: [ 100 / 307 ] simplifiying candidate # 163.378 * [simplify]: Simplifying (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 163.378 * * [simplify]: iters left: 6 (12 enodes) 163.385 * * [simplify]: iters left: 5 (51 enodes) 163.402 * * [simplify]: iters left: 4 (85 enodes) 163.428 * * [simplify]: iters left: 3 (128 enodes) 163.469 * * [simplify]: iters left: 2 (213 enodes) 163.551 * * [simplify]: iters left: 1 (401 enodes) 163.719 * * [simplify]: Extracting #0: cost 1 inf + 0 163.719 * * [simplify]: Extracting #1: cost 4 inf + 0 163.719 * * [simplify]: Extracting #2: cost 6 inf + 1 163.719 * * [simplify]: Extracting #3: cost 37 inf + 1 163.719 * * [simplify]: Extracting #4: cost 133 inf + 2 163.721 * * [simplify]: Extracting #5: cost 177 inf + 177 163.723 * * [simplify]: Extracting #6: cost 148 inf + 3620 163.729 * * [simplify]: Extracting #7: cost 80 inf + 14565 163.743 * * [simplify]: Extracting #8: cost 17 inf + 54286 163.755 * * [simplify]: Extracting #9: cost 0 inf + 70833 163.766 * * [simplify]: Extracting #10: cost 0 inf + 69396 163.776 * [simplify]: Simplified to (/ 1 (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) 163.776 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 163.776 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 163.777 * * [simplify]: iters left: 6 (13 enodes) 163.781 * * [simplify]: iters left: 5 (54 enodes) 163.799 * * [simplify]: iters left: 4 (88 enodes) 163.817 * * [simplify]: iters left: 3 (126 enodes) 163.841 * * [simplify]: iters left: 2 (206 enodes) 163.899 * * [simplify]: iters left: 1 (396 enodes) 164.040 * * [simplify]: Extracting #0: cost 1 inf + 0 164.040 * * [simplify]: Extracting #1: cost 4 inf + 0 164.040 * * [simplify]: Extracting #2: cost 9 inf + 0 164.040 * * [simplify]: Extracting #3: cost 38 inf + 1 164.041 * * [simplify]: Extracting #4: cost 128 inf + 43 164.042 * * [simplify]: Extracting #5: cost 155 inf + 675 164.044 * * [simplify]: Extracting #6: cost 104 inf + 8174 164.050 * * [simplify]: Extracting #7: cost 37 inf + 35801 164.060 * * [simplify]: Extracting #8: cost 0 inf + 67552 164.071 * * [simplify]: Extracting #9: cost 0 inf + 65556 164.087 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 164.087 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 164.088 * * * * [progress]: [ 101 / 307 ] simplifiying candidate # 164.088 * [simplify]: Simplifying (/ 1 1) 164.088 * * [simplify]: iters left: 2 (2 enodes) 164.090 * * [simplify]: iters left: 1 (6 enodes) 164.092 * * [simplify]: Extracting #0: cost 1 inf + 0 164.092 * * [simplify]: Extracting #1: cost 0 inf + 1 164.092 * [simplify]: Simplified to 1 164.092 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 164.092 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 164.092 * * [simplify]: iters left: 6 (12 enodes) 164.099 * * [simplify]: iters left: 5 (51 enodes) 164.116 * * [simplify]: iters left: 4 (86 enodes) 164.139 * * [simplify]: iters left: 3 (133 enodes) 164.162 * * [simplify]: iters left: 2 (224 enodes) 164.206 * * [simplify]: iters left: 1 (420 enodes) 164.361 * * [simplify]: Extracting #0: cost 1 inf + 0 164.361 * * [simplify]: Extracting #1: cost 6 inf + 0 164.361 * * [simplify]: Extracting #2: cost 43 inf + 0 164.362 * * [simplify]: Extracting #3: cost 140 inf + 84 164.362 * * [simplify]: Extracting #4: cost 181 inf + 549 164.364 * * [simplify]: Extracting #5: cost 140 inf + 5333 164.368 * * [simplify]: Extracting #6: cost 77 inf + 20391 164.375 * * [simplify]: Extracting #7: cost 23 inf + 59474 164.387 * * [simplify]: Extracting #8: cost 0 inf + 81348 164.399 * * [simplify]: Extracting #9: cost 0 inf + 81231 164.426 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 164.426 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 164.426 * * * * [progress]: [ 102 / 307 ] simplifiying candidate # 164.426 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 164.427 * * [simplify]: iters left: 6 (12 enodes) 164.434 * * [simplify]: iters left: 5 (54 enodes) 164.453 * * [simplify]: iters left: 4 (92 enodes) 164.482 * * [simplify]: iters left: 3 (154 enodes) 164.510 * * [simplify]: iters left: 2 (285 enodes) 164.615 * * [simplify]: Extracting #0: cost 1 inf + 0 164.615 * * [simplify]: Extracting #1: cost 6 inf + 0 164.615 * * [simplify]: Extracting #2: cost 25 inf + 1 164.615 * * [simplify]: Extracting #3: cost 91 inf + 2 164.616 * * [simplify]: Extracting #4: cost 121 inf + 220 164.617 * * [simplify]: Extracting #5: cost 118 inf + 765 164.620 * * [simplify]: Extracting #6: cost 59 inf + 9336 164.627 * * [simplify]: Extracting #7: cost 14 inf + 25010 164.635 * * [simplify]: Extracting #8: cost 0 inf + 32620 164.644 * * [simplify]: Extracting #9: cost 0 inf + 32290 164.653 * [simplify]: Simplified to (/ 1 (pow (* (* 2 n) PI) (* 1/4 (- 1 k)))) 164.654 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* (* 2 n) PI) (* 1/4 (- 1 k)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 164.654 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 164.654 * * [simplify]: iters left: 6 (13 enodes) 164.661 * * [simplify]: iters left: 5 (57 enodes) 164.681 * * [simplify]: iters left: 4 (95 enodes) 164.698 * * [simplify]: iters left: 3 (150 enodes) 164.742 * * [simplify]: iters left: 2 (262 enodes) 164.810 * * [simplify]: iters left: 1 (476 enodes) 164.983 * * [simplify]: Extracting #0: cost 1 inf + 0 164.983 * * [simplify]: Extracting #1: cost 6 inf + 0 164.983 * * [simplify]: Extracting #2: cost 41 inf + 0 164.984 * * [simplify]: Extracting #3: cost 143 inf + 84 164.985 * * [simplify]: Extracting #4: cost 191 inf + 2155 164.988 * * [simplify]: Extracting #5: cost 124 inf + 11911 165.001 * * [simplify]: Extracting #6: cost 35 inf + 52758 165.026 * * [simplify]: Extracting #7: cost 2 inf + 78239 165.051 * * [simplify]: Extracting #8: cost 0 inf + 78600 165.081 * * [simplify]: Extracting #9: cost 0 inf + 78177 165.106 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 165.106 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))))) 165.106 * * * * [progress]: [ 103 / 307 ] simplifiying candidate # 165.106 * * * * [progress]: [ 104 / 307 ] simplifiying candidate # 165.107 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 165.107 * * [simplify]: iters left: 6 (11 enodes) 165.113 * * [simplify]: iters left: 5 (48 enodes) 165.129 * * [simplify]: iters left: 4 (79 enodes) 165.151 * * [simplify]: iters left: 3 (126 enodes) 165.176 * * [simplify]: iters left: 2 (233 enodes) 165.231 * * [simplify]: iters left: 1 (426 enodes) 165.401 * * [simplify]: Extracting #0: cost 1 inf + 0 165.402 * * [simplify]: Extracting #1: cost 6 inf + 0 165.402 * * [simplify]: Extracting #2: cost 41 inf + 1 165.403 * * [simplify]: Extracting #3: cost 138 inf + 2 165.404 * * [simplify]: Extracting #4: cost 204 inf + 220 165.406 * * [simplify]: Extracting #5: cost 195 inf + 934 165.411 * * [simplify]: Extracting #6: cost 111 inf + 12931 165.418 * * [simplify]: Extracting #7: cost 37 inf + 49978 165.430 * * [simplify]: Extracting #8: cost 1 inf + 81454 165.443 * * [simplify]: Extracting #9: cost 0 inf + 81816 165.459 * * [simplify]: Extracting #10: cost 0 inf + 81608 165.473 * [simplify]: Simplified to (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) 165.473 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))) 165.473 * * * * [progress]: [ 105 / 307 ] simplifiying candidate # 165.473 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 165.473 * * [simplify]: iters left: 6 (12 enodes) 165.477 * * [simplify]: iters left: 5 (51 enodes) 165.485 * * [simplify]: iters left: 4 (86 enodes) 165.505 * * [simplify]: iters left: 3 (135 enodes) 165.533 * * [simplify]: iters left: 2 (232 enodes) 165.590 * * [simplify]: iters left: 1 (483 enodes) 165.862 * * [simplify]: Extracting #0: cost 1 inf + 0 165.862 * * [simplify]: Extracting #1: cost 47 inf + 0 165.863 * * [simplify]: Extracting #2: cost 158 inf + 0 165.864 * * [simplify]: Extracting #3: cost 244 inf + 4 165.867 * * [simplify]: Extracting #4: cost 240 inf + 2049 165.874 * * [simplify]: Extracting #5: cost 169 inf + 14829 165.896 * * [simplify]: Extracting #6: cost 53 inf + 92049 165.932 * * [simplify]: Extracting #7: cost 2 inf + 134552 165.955 * * [simplify]: Extracting #8: cost 0 inf + 136628 165.976 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 165.976 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 165.976 * * * * [progress]: [ 106 / 307 ] simplifiying candidate # 165.977 * [simplify]: Simplifying (/ (sqrt k) (pow n (/ (- 1 k) 2))) 165.977 * * [simplify]: iters left: 6 (9 enodes) 165.985 * * [simplify]: iters left: 5 (38 enodes) 165.998 * * [simplify]: iters left: 4 (61 enodes) 166.015 * * [simplify]: iters left: 3 (103 enodes) 166.035 * * [simplify]: iters left: 2 (207 enodes) 166.088 * * [simplify]: iters left: 1 (396 enodes) 166.217 * * [simplify]: Extracting #0: cost 1 inf + 0 166.217 * * [simplify]: Extracting #1: cost 6 inf + 0 166.218 * * [simplify]: Extracting #2: cost 46 inf + 0 166.218 * * [simplify]: Extracting #3: cost 139 inf + 44 166.220 * * [simplify]: Extracting #4: cost 188 inf + 463 166.223 * * [simplify]: Extracting #5: cost 160 inf + 3618 166.229 * * [simplify]: Extracting #6: cost 93 inf + 12969 166.242 * * [simplify]: Extracting #7: cost 43 inf + 42479 166.267 * * [simplify]: Extracting #8: cost 0 inf + 74293 166.290 * * [simplify]: Extracting #9: cost 0 inf + 71523 166.306 * * [simplify]: Extracting #10: cost 0 inf + 70335 166.317 * [simplify]: Simplified to (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) 166.317 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow (* 2 PI) (/ (- 1 k) 2))))) 166.318 * * * * [progress]: [ 107 / 307 ] simplifiying candidate # 166.318 * [simplify]: Simplifying (/ (sqrt k) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 166.318 * * [simplify]: iters left: 6 (14 enodes) 166.322 * * [simplify]: iters left: 5 (59 enodes) 166.332 * * [simplify]: iters left: 4 (94 enodes) 166.356 * * [simplify]: iters left: 3 (133 enodes) 166.403 * * [simplify]: iters left: 2 (213 enodes) 166.480 * * [simplify]: iters left: 1 (396 enodes) 166.649 * * [simplify]: Extracting #0: cost 1 inf + 0 166.649 * * [simplify]: Extracting #1: cost 6 inf + 0 166.649 * * [simplify]: Extracting #2: cost 12 inf + 0 166.649 * * [simplify]: Extracting #3: cost 38 inf + 1 166.650 * * [simplify]: Extracting #4: cost 118 inf + 43 166.651 * * [simplify]: Extracting #5: cost 160 inf + 425 166.656 * * [simplify]: Extracting #6: cost 102 inf + 9698 166.666 * * [simplify]: Extracting #7: cost 37 inf + 36815 166.686 * * [simplify]: Extracting #8: cost 0 inf + 67257 166.707 * * [simplify]: Extracting #9: cost 0 inf + 66668 166.732 * [simplify]: Simplified to (/ (sqrt k) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 166.732 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 166.732 * * * * [progress]: [ 108 / 307 ] simplifiying candidate # 166.733 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 166.733 * * [simplify]: iters left: 6 (13 enodes) 166.740 * * [simplify]: iters left: 5 (54 enodes) 166.759 * * [simplify]: iters left: 4 (88 enodes) 166.784 * * [simplify]: iters left: 3 (126 enodes) 166.805 * * [simplify]: iters left: 2 (206 enodes) 166.863 * * [simplify]: iters left: 1 (396 enodes) 167.004 * * [simplify]: Extracting #0: cost 1 inf + 0 167.004 * * [simplify]: Extracting #1: cost 4 inf + 0 167.004 * * [simplify]: Extracting #2: cost 9 inf + 0 167.005 * * [simplify]: Extracting #3: cost 38 inf + 1 167.005 * * [simplify]: Extracting #4: cost 128 inf + 43 167.006 * * [simplify]: Extracting #5: cost 155 inf + 675 167.008 * * [simplify]: Extracting #6: cost 104 inf + 8174 167.013 * * [simplify]: Extracting #7: cost 37 inf + 35801 167.023 * * [simplify]: Extracting #8: cost 0 inf + 67552 167.034 * * [simplify]: Extracting #9: cost 0 inf + 65556 167.049 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 167.049 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 167.049 * * * * [progress]: [ 109 / 307 ] simplifiying candidate # 167.050 * [simplify]: Simplifying (/ (sqrt k) 1) 167.050 * * [simplify]: iters left: 3 (4 enodes) 167.052 * * [simplify]: iters left: 2 (12 enodes) 167.056 * * [simplify]: iters left: 1 (14 enodes) 167.061 * * [simplify]: Extracting #0: cost 1 inf + 0 167.061 * * [simplify]: Extracting #1: cost 4 inf + 0 167.061 * * [simplify]: Extracting #2: cost 0 inf + 84 167.061 * [simplify]: Simplified to (sqrt k) 167.061 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 167.062 * * * * [progress]: [ 110 / 307 ] simplifiying candidate # 167.062 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 167.062 * * [simplify]: iters left: 6 (13 enodes) 167.069 * * [simplify]: iters left: 5 (57 enodes) 167.088 * * [simplify]: iters left: 4 (95 enodes) 167.123 * * [simplify]: iters left: 3 (150 enodes) 167.159 * * [simplify]: iters left: 2 (262 enodes) 167.231 * * [simplify]: iters left: 1 (476 enodes) 167.411 * * [simplify]: Extracting #0: cost 1 inf + 0 167.411 * * [simplify]: Extracting #1: cost 6 inf + 0 167.412 * * [simplify]: Extracting #2: cost 41 inf + 0 167.412 * * [simplify]: Extracting #3: cost 143 inf + 84 167.413 * * [simplify]: Extracting #4: cost 191 inf + 2155 167.416 * * [simplify]: Extracting #5: cost 124 inf + 11911 167.430 * * [simplify]: Extracting #6: cost 35 inf + 52758 167.443 * * [simplify]: Extracting #7: cost 2 inf + 78239 167.455 * * [simplify]: Extracting #8: cost 0 inf + 78600 167.473 * * [simplify]: Extracting #9: cost 0 inf + 78177 167.492 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 167.492 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 167.492 * * * * [progress]: [ 111 / 307 ] simplifiying candidate # 167.492 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 167.492 * * [simplify]: iters left: 6 (13 enodes) 167.496 * * [simplify]: iters left: 5 (54 enodes) 167.506 * * [simplify]: iters left: 4 (89 enodes) 167.529 * * [simplify]: iters left: 3 (138 enodes) 167.559 * * [simplify]: iters left: 2 (235 enodes) 167.611 * * [simplify]: iters left: 1 (482 enodes) 167.790 * * [simplify]: Extracting #0: cost 1 inf + 0 167.790 * * [simplify]: Extracting #1: cost 47 inf + 0 167.791 * * [simplify]: Extracting #2: cost 150 inf + 0 167.793 * * [simplify]: Extracting #3: cost 235 inf + 3 167.795 * * [simplify]: Extracting #4: cost 233 inf + 1458 167.802 * * [simplify]: Extracting #5: cost 149 inf + 21445 167.831 * * [simplify]: Extracting #6: cost 48 inf + 83738 167.862 * * [simplify]: Extracting #7: cost 0 inf + 129683 167.881 * * [simplify]: Extracting #8: cost 0 inf + 129402 167.902 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 167.902 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 167.902 * * * * [progress]: [ 112 / 307 ] simplifiying candidate # 167.902 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 167.902 * * [simplify]: iters left: 6 (13 enodes) 167.907 * * [simplify]: iters left: 5 (54 enodes) 167.916 * * [simplify]: iters left: 4 (89 enodes) 167.932 * * [simplify]: iters left: 3 (138 enodes) 167.961 * * [simplify]: iters left: 2 (235 enodes) 168.011 * * [simplify]: iters left: 1 (482 enodes) 168.229 * * [simplify]: Extracting #0: cost 1 inf + 0 168.229 * * [simplify]: Extracting #1: cost 47 inf + 0 168.229 * * [simplify]: Extracting #2: cost 150 inf + 0 168.230 * * [simplify]: Extracting #3: cost 235 inf + 3 168.232 * * [simplify]: Extracting #4: cost 233 inf + 1498 168.236 * * [simplify]: Extracting #5: cost 149 inf + 21525 168.248 * * [simplify]: Extracting #6: cost 48 inf + 83818 168.279 * * [simplify]: Extracting #7: cost 0 inf + 129763 168.302 * * [simplify]: Extracting #8: cost 0 inf + 129482 168.321 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k))) 168.321 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))) 168.321 * * * * [progress]: [ 113 / 307 ] simplifiying candidate # 168.321 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 168.322 * * [simplify]: iters left: 6 (13 enodes) 168.327 * * [simplify]: iters left: 5 (54 enodes) 168.343 * * [simplify]: iters left: 4 (89 enodes) 168.358 * * [simplify]: iters left: 3 (138 enodes) 168.399 * * [simplify]: iters left: 2 (235 enodes) 168.458 * * [simplify]: iters left: 1 (482 enodes) 168.663 * * [simplify]: Extracting #0: cost 1 inf + 0 168.663 * * [simplify]: Extracting #1: cost 47 inf + 0 168.664 * * [simplify]: Extracting #2: cost 150 inf + 0 168.666 * * [simplify]: Extracting #3: cost 235 inf + 3 168.668 * * [simplify]: Extracting #4: cost 233 inf + 1378 168.675 * * [simplify]: Extracting #5: cost 149 inf + 20965 168.700 * * [simplify]: Extracting #6: cost 48 inf + 81578 168.721 * * [simplify]: Extracting #7: cost 0 inf + 126363 168.754 * * [simplify]: Extracting #8: cost 0 inf + 126082 168.794 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 168.794 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 168.794 * * * * [progress]: [ 114 / 307 ] simplifiying candidate # 168.794 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 168.794 * * [simplify]: iters left: 6 (12 enodes) 168.798 * * [simplify]: iters left: 5 (51 enodes) 168.807 * * [simplify]: iters left: 4 (86 enodes) 168.821 * * [simplify]: iters left: 3 (135 enodes) 168.864 * * [simplify]: iters left: 2 (232 enodes) 168.954 * * [simplify]: iters left: 1 (483 enodes) 169.201 * * [simplify]: Extracting #0: cost 1 inf + 0 169.201 * * [simplify]: Extracting #1: cost 47 inf + 0 169.201 * * [simplify]: Extracting #2: cost 158 inf + 0 169.202 * * [simplify]: Extracting #3: cost 244 inf + 4 169.203 * * [simplify]: Extracting #4: cost 240 inf + 2049 169.207 * * [simplify]: Extracting #5: cost 169 inf + 14829 169.224 * * [simplify]: Extracting #6: cost 53 inf + 92049 169.252 * * [simplify]: Extracting #7: cost 2 inf + 134552 169.270 * * [simplify]: Extracting #8: cost 0 inf + 136628 169.307 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 169.307 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt 1) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 169.308 * * * * [progress]: [ 115 / 307 ] simplifiying candidate # 169.308 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 169.308 * * [simplify]: iters left: 6 (13 enodes) 169.313 * * [simplify]: iters left: 5 (54 enodes) 169.323 * * [simplify]: iters left: 4 (89 enodes) 169.337 * * [simplify]: iters left: 3 (138 enodes) 169.377 * * [simplify]: iters left: 2 (235 enodes) 169.441 * * [simplify]: iters left: 1 (482 enodes) 169.628 * * [simplify]: Extracting #0: cost 1 inf + 0 169.628 * * [simplify]: Extracting #1: cost 47 inf + 0 169.629 * * [simplify]: Extracting #2: cost 150 inf + 0 169.631 * * [simplify]: Extracting #3: cost 235 inf + 3 169.634 * * [simplify]: Extracting #4: cost 233 inf + 1378 169.641 * * [simplify]: Extracting #5: cost 149 inf + 20965 169.666 * * [simplify]: Extracting #6: cost 48 inf + 81578 169.692 * * [simplify]: Extracting #7: cost 0 inf + 126363 169.712 * * [simplify]: Extracting #8: cost 0 inf + 126082 169.736 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 169.736 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 169.736 * * * * [progress]: [ 116 / 307 ] simplifiying candidate # 169.736 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 169.736 * * [simplify]: iters left: 6 (12 enodes) 169.744 * * [simplify]: iters left: 5 (51 enodes) 169.761 * * [simplify]: iters left: 4 (86 enodes) 169.791 * * [simplify]: iters left: 3 (135 enodes) 169.818 * * [simplify]: iters left: 2 (232 enodes) 169.877 * * [simplify]: iters left: 1 (483 enodes) 170.080 * * [simplify]: Extracting #0: cost 1 inf + 0 170.080 * * [simplify]: Extracting #1: cost 47 inf + 0 170.081 * * [simplify]: Extracting #2: cost 158 inf + 0 170.083 * * [simplify]: Extracting #3: cost 244 inf + 4 170.085 * * [simplify]: Extracting #4: cost 240 inf + 2049 170.092 * * [simplify]: Extracting #5: cost 169 inf + 14829 170.107 * * [simplify]: Extracting #6: cost 53 inf + 92049 170.128 * * [simplify]: Extracting #7: cost 2 inf + 134552 170.147 * * [simplify]: Extracting #8: cost 0 inf + 136628 170.186 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 170.186 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 170.186 * * * * [progress]: [ 117 / 307 ] simplifiying candidate # 170.186 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2))) 170.187 * * [simplify]: iters left: 6 (11 enodes) 170.194 * * [simplify]: iters left: 5 (44 enodes) 170.210 * * [simplify]: iters left: 4 (74 enodes) 170.237 * * [simplify]: iters left: 3 (123 enodes) 170.272 * * [simplify]: iters left: 2 (178 enodes) 170.303 * * [simplify]: iters left: 1 (310 enodes) 170.457 * * [simplify]: Extracting #0: cost 1 inf + 0 170.457 * * [simplify]: Extracting #1: cost 6 inf + 0 170.457 * * [simplify]: Extracting #2: cost 48 inf + 0 170.458 * * [simplify]: Extracting #3: cost 109 inf + 45 170.459 * * [simplify]: Extracting #4: cost 108 inf + 1436 170.463 * * [simplify]: Extracting #5: cost 69 inf + 18164 170.475 * * [simplify]: Extracting #6: cost 6 inf + 60118 170.489 * * [simplify]: Extracting #7: cost 0 inf + 64232 170.507 * [simplify]: Simplified to (/ (sqrt k) (sqrt (* n (* 2 PI)))) 170.507 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (* n (* 2 PI)))) (pow (* n (* 2 PI)) (/ k 2))))) 170.507 * * * * [progress]: [ 118 / 307 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 170.507 * [simplify]: Simplifying (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 170.507 * * [simplify]: iters left: 6 (13 enodes) 170.513 * * [simplify]: iters left: 5 (51 enodes) 170.522 * * [simplify]: iters left: 4 (86 enodes) 170.536 * * [simplify]: iters left: 3 (129 enodes) 170.575 * * [simplify]: iters left: 2 (215 enodes) 170.658 * * [simplify]: iters left: 1 (412 enodes) 170.869 * * [simplify]: Extracting #0: cost 1 inf + 0 170.869 * * [simplify]: Extracting #1: cost 2 inf + 0 170.869 * * [simplify]: Extracting #2: cost 6 inf + 0 170.869 * * [simplify]: Extracting #3: cost 38 inf + 0 170.870 * * [simplify]: Extracting #4: cost 136 inf + 84 170.872 * * [simplify]: Extracting #5: cost 185 inf + 427 170.876 * * [simplify]: Extracting #6: cost 122 inf + 10503 170.884 * * [simplify]: Extracting #7: cost 38 inf + 46225 170.894 * * [simplify]: Extracting #8: cost 1 inf + 75729 170.905 * * [simplify]: Extracting #9: cost 0 inf + 76396 170.916 * [simplify]: Simplified to (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 170.916 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (posit16->real (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 170.916 * * * * [progress]: [ 119 / 307 ] simplifiying candidate # 170.916 * * * * [progress]: [ 120 / 307 ] simplifiying candidate # 170.916 * [simplify]: Simplifying (- 1) 170.916 * * [simplify]: iters left: 2 (2 enodes) 170.918 * * [simplify]: iters left: 1 (9 enodes) 170.920 * * [simplify]: Extracting #0: cost 1 inf + 0 170.920 * * [simplify]: Extracting #1: cost 0 inf + 1 170.920 * [simplify]: Simplified to -1 170.920 * [simplify]: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) -1)) 170.920 * * * * [progress]: [ 121 / 307 ] simplifiying candidate # 170.920 * * * * [progress]: [ 122 / 307 ] simplifiying candidate # 170.920 * [simplify]: Simplifying (- (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) 170.920 * * [simplify]: iters left: 6 (17 enodes) 170.925 * * [simplify]: iters left: 5 (68 enodes) 170.943 * * [simplify]: iters left: 4 (125 enodes) 170.970 * * [simplify]: iters left: 3 (378 enodes) 171.155 * * [simplify]: Extracting #0: cost 1 inf + 0 171.156 * * [simplify]: Extracting #1: cost 28 inf + 0 171.156 * * [simplify]: Extracting #2: cost 173 inf + 0 171.158 * * [simplify]: Extracting #3: cost 288 inf + 73 171.161 * * [simplify]: Extracting #4: cost 287 inf + 5021 171.173 * * [simplify]: Extracting #5: cost 111 inf + 50507 171.187 * * [simplify]: Extracting #6: cost 3 inf + 85512 171.203 * * [simplify]: Extracting #7: cost 0 inf + 86363 171.229 * [simplify]: Simplified to (- (- (log (sqrt k)) (/ (+ (+ (log PI) (log n)) (log 2)) (/ 2 (- 1 k))))) 171.229 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (/ (+ (+ (log PI) (log n)) (log 2)) (/ 2 (- 1 k))))))) 171.230 * * * * [progress]: [ 123 / 307 ] simplifiying candidate # 171.230 * [simplify]: Simplifying (- (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) 171.230 * * [simplify]: iters left: 6 (16 enodes) 171.242 * * [simplify]: iters left: 5 (66 enodes) 171.263 * * [simplify]: iters left: 4 (118 enodes) 171.307 * * [simplify]: iters left: 3 (308 enodes) 171.439 * * [simplify]: Extracting #0: cost 1 inf + 0 171.439 * * [simplify]: Extracting #1: cost 22 inf + 0 171.439 * * [simplify]: Extracting #2: cost 142 inf + 0 171.440 * * [simplify]: Extracting #3: cost 259 inf + 2 171.442 * * [simplify]: Extracting #4: cost 260 inf + 6920 171.450 * * [simplify]: Extracting #5: cost 72 inf + 49951 171.475 * * [simplify]: Extracting #6: cost 0 inf + 71057 171.488 * * [simplify]: Extracting #7: cost 0 inf + 70977 171.502 * [simplify]: Simplified to (+ (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (- (log (sqrt k)))) 171.502 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (- (log (sqrt k)))))) 171.503 * * * * [progress]: [ 124 / 307 ] simplifiying candidate # 171.503 * [simplify]: Simplifying (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 171.503 * * [simplify]: iters left: 6 (15 enodes) 171.511 * * [simplify]: iters left: 5 (65 enodes) 171.529 * * [simplify]: iters left: 4 (125 enodes) 171.553 * * [simplify]: iters left: 3 (290 enodes) 171.662 * * [simplify]: Extracting #0: cost 1 inf + 0 171.662 * * [simplify]: Extracting #1: cost 16 inf + 0 171.662 * * [simplify]: Extracting #2: cost 115 inf + 0 171.664 * * [simplify]: Extracting #3: cost 228 inf + 2 171.667 * * [simplify]: Extracting #4: cost 212 inf + 8788 171.685 * * [simplify]: Extracting #5: cost 37 inf + 47844 171.706 * * [simplify]: Extracting #6: cost 0 inf + 56221 171.720 * * [simplify]: Extracting #7: cost 0 inf + 54951 171.731 * * [simplify]: Extracting #8: cost 0 inf + 54811 171.741 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))) 171.742 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))))) 171.742 * * * * [progress]: [ 125 / 307 ] simplifiying candidate # 171.742 * [simplify]: Simplifying (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 171.742 * * [simplify]: iters left: 6 (15 enodes) 171.752 * * [simplify]: iters left: 5 (65 enodes) 171.773 * * [simplify]: iters left: 4 (125 enodes) 171.817 * * [simplify]: iters left: 3 (290 enodes) 171.969 * * [simplify]: Extracting #0: cost 1 inf + 0 171.969 * * [simplify]: Extracting #1: cost 16 inf + 0 171.969 * * [simplify]: Extracting #2: cost 115 inf + 0 171.970 * * [simplify]: Extracting #3: cost 228 inf + 2 171.974 * * [simplify]: Extracting #4: cost 212 inf + 8788 171.992 * * [simplify]: Extracting #5: cost 37 inf + 47844 172.014 * * [simplify]: Extracting #6: cost 0 inf + 56221 172.040 * * [simplify]: Extracting #7: cost 0 inf + 54951 172.061 * * [simplify]: Extracting #8: cost 0 inf + 54811 172.082 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))) 172.082 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))))) 172.082 * * * * [progress]: [ 126 / 307 ] simplifiying candidate # 172.083 * [simplify]: Simplifying (- (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 172.083 * * [simplify]: iters left: 6 (15 enodes) 172.091 * * [simplify]: iters left: 5 (64 enodes) 172.106 * * [simplify]: iters left: 4 (117 enodes) 172.130 * * [simplify]: iters left: 3 (266 enodes) 172.257 * * [simplify]: Extracting #0: cost 1 inf + 0 172.257 * * [simplify]: Extracting #1: cost 22 inf + 0 172.258 * * [simplify]: Extracting #2: cost 163 inf + 0 172.260 * * [simplify]: Extracting #3: cost 273 inf + 2 172.262 * * [simplify]: Extracting #4: cost 280 inf + 3054 172.275 * * [simplify]: Extracting #5: cost 137 inf + 31482 172.296 * * [simplify]: Extracting #6: cost 14 inf + 64049 172.320 * * [simplify]: Extracting #7: cost 0 inf + 68432 172.335 * * [simplify]: Extracting #8: cost 0 inf + 68153 172.347 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n (* 2 PI)))))) 172.347 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n (* 2 PI)))))))) 172.348 * * * * [progress]: [ 127 / 307 ] simplifiying candidate # 172.348 * [simplify]: Simplifying (- (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 172.348 * * [simplify]: iters left: 6 (14 enodes) 172.352 * * [simplify]: iters left: 5 (60 enodes) 172.367 * * [simplify]: iters left: 4 (105 enodes) 172.400 * * [simplify]: iters left: 3 (191 enodes) 172.455 * * [simplify]: Extracting #0: cost 1 inf + 0 172.455 * * [simplify]: Extracting #1: cost 6 inf + 0 172.455 * * [simplify]: Extracting #2: cost 82 inf + 0 172.456 * * [simplify]: Extracting #3: cost 165 inf + 1 172.457 * * [simplify]: Extracting #4: cost 194 inf + 563 172.460 * * [simplify]: Extracting #5: cost 137 inf + 11807 172.469 * * [simplify]: Extracting #6: cost 37 inf + 33858 172.482 * * [simplify]: Extracting #7: cost 0 inf + 47957 172.496 * * [simplify]: Extracting #8: cost 0 inf + 47697 172.510 * [simplify]: Simplified to (+ (- (log (sqrt k))) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) 172.510 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))) 172.510 * * * * [progress]: [ 128 / 307 ] simplifiying candidate # 172.510 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) 172.510 * * [simplify]: iters left: 6 (18 enodes) 172.516 * * [simplify]: iters left: 5 (74 enodes) 172.529 * * [simplify]: iters left: 4 (139 enodes) 172.573 * * [simplify]: iters left: 3 (422 enodes) 172.733 * * [simplify]: Extracting #0: cost 1 inf + 0 172.733 * * [simplify]: Extracting #1: cost 54 inf + 0 172.734 * * [simplify]: Extracting #2: cost 227 inf + 1 172.736 * * [simplify]: Extracting #3: cost 340 inf + 74 172.745 * * [simplify]: Extracting #4: cost 322 inf + 11535 172.766 * * [simplify]: Extracting #5: cost 108 inf + 67769 172.794 * * [simplify]: Extracting #6: cost 4 inf + 104894 172.814 * * [simplify]: Extracting #7: cost 0 inf + 106651 172.841 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 172.841 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 172.841 * * * * [progress]: [ 129 / 307 ] simplifiying candidate # 172.842 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) 172.842 * * [simplify]: iters left: 6 (17 enodes) 172.854 * * [simplify]: iters left: 5 (72 enodes) 172.877 * * [simplify]: iters left: 4 (132 enodes) 172.929 * * [simplify]: iters left: 3 (351 enodes) 173.072 * * [simplify]: Extracting #0: cost 1 inf + 0 173.072 * * [simplify]: Extracting #1: cost 45 inf + 0 173.072 * * [simplify]: Extracting #2: cost 199 inf + 1 173.073 * * [simplify]: Extracting #3: cost 304 inf + 74 173.075 * * [simplify]: Extracting #4: cost 284 inf + 9043 173.084 * * [simplify]: Extracting #5: cost 105 inf + 52257 173.105 * * [simplify]: Extracting #6: cost 5 inf + 83505 173.142 * * [simplify]: Extracting #7: cost 0 inf + 85490 173.167 * [simplify]: Simplified to (- (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)) (log (sqrt k))) 173.167 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 173.167 * * * * [progress]: [ 130 / 307 ] simplifiying candidate # 173.167 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 173.167 * * [simplify]: iters left: 6 (16 enodes) 173.172 * * [simplify]: iters left: 5 (71 enodes) 173.184 * * [simplify]: iters left: 4 (139 enodes) 173.228 * * [simplify]: iters left: 3 (324 enodes) 173.351 * * [simplify]: Extracting #0: cost 1 inf + 0 173.352 * * [simplify]: Extracting #1: cost 31 inf + 0 173.352 * * [simplify]: Extracting #2: cost 156 inf + 1 173.354 * * [simplify]: Extracting #3: cost 257 inf + 3 173.356 * * [simplify]: Extracting #4: cost 259 inf + 3334 173.369 * * [simplify]: Extracting #5: cost 81 inf + 40885 173.393 * * [simplify]: Extracting #6: cost 2 inf + 62452 173.418 * * [simplify]: Extracting #7: cost 0 inf + 62740 173.431 * * [simplify]: Extracting #8: cost 0 inf + 62739 173.447 * [simplify]: Simplified to (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))) 173.447 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 173.447 * * * * [progress]: [ 131 / 307 ] simplifiying candidate # 173.447 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 173.448 * * [simplify]: iters left: 6 (16 enodes) 173.453 * * [simplify]: iters left: 5 (71 enodes) 173.477 * * [simplify]: iters left: 4 (139 enodes) 173.526 * * [simplify]: iters left: 3 (324 enodes) 173.632 * * [simplify]: Extracting #0: cost 1 inf + 0 173.632 * * [simplify]: Extracting #1: cost 31 inf + 0 173.633 * * [simplify]: Extracting #2: cost 156 inf + 1 173.634 * * [simplify]: Extracting #3: cost 257 inf + 3 173.635 * * [simplify]: Extracting #4: cost 259 inf + 3334 173.641 * * [simplify]: Extracting #5: cost 81 inf + 40885 173.660 * * [simplify]: Extracting #6: cost 2 inf + 62452 173.684 * * [simplify]: Extracting #7: cost 0 inf + 62740 173.700 * * [simplify]: Extracting #8: cost 0 inf + 62739 173.713 * [simplify]: Simplified to (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))) 173.713 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 173.714 * * * * [progress]: [ 132 / 307 ] simplifiying candidate # 173.714 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 173.714 * * [simplify]: iters left: 6 (16 enodes) 173.721 * * [simplify]: iters left: 5 (70 enodes) 173.742 * * [simplify]: iters left: 4 (131 enodes) 173.787 * * [simplify]: iters left: 3 (295 enodes) 173.919 * * [simplify]: Extracting #0: cost 1 inf + 0 173.920 * * [simplify]: Extracting #1: cost 37 inf + 0 173.920 * * [simplify]: Extracting #2: cost 204 inf + 1 173.921 * * [simplify]: Extracting #3: cost 316 inf + 3 173.923 * * [simplify]: Extracting #4: cost 285 inf + 8131 173.935 * * [simplify]: Extracting #5: cost 79 inf + 57135 173.949 * * [simplify]: Extracting #6: cost 2 inf + 77001 173.974 * * [simplify]: Extracting #7: cost 0 inf + 77763 174.003 * * [simplify]: Extracting #8: cost 0 inf + 77682 174.031 * [simplify]: Simplified to (- (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2) (log (sqrt k))) 174.031 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2) (log (sqrt k))))) 174.031 * * * * [progress]: [ 133 / 307 ] simplifiying candidate # 174.031 * [simplify]: Simplifying (- 0 (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 174.031 * * [simplify]: iters left: 6 (15 enodes) 174.040 * * [simplify]: iters left: 5 (64 enodes) 174.052 * * [simplify]: iters left: 4 (109 enodes) 174.070 * * [simplify]: iters left: 3 (205 enodes) 174.124 * * [simplify]: Extracting #0: cost 1 inf + 0 174.124 * * [simplify]: Extracting #1: cost 13 inf + 0 174.124 * * [simplify]: Extracting #2: cost 110 inf + 1 174.125 * * [simplify]: Extracting #3: cost 184 inf + 3 174.126 * * [simplify]: Extracting #4: cost 200 inf + 883 174.128 * * [simplify]: Extracting #5: cost 128 inf + 14009 174.136 * * [simplify]: Extracting #6: cost 29 inf + 40744 174.144 * * [simplify]: Extracting #7: cost 1 inf + 51283 174.161 * * [simplify]: Extracting #8: cost 0 inf + 51289 174.177 * * [simplify]: Extracting #9: cost 0 inf + 50988 174.194 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 174.194 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))))) 174.194 * * * * [progress]: [ 134 / 307 ] simplifiying candidate # 174.194 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) 174.194 * * [simplify]: iters left: 6 (18 enodes) 174.204 * * [simplify]: iters left: 5 (75 enodes) 174.229 * * [simplify]: iters left: 4 (135 enodes) 174.277 * * [simplify]: iters left: 3 (419 enodes) 174.480 * * [simplify]: Extracting #0: cost 1 inf + 0 174.480 * * [simplify]: Extracting #1: cost 47 inf + 0 174.481 * * [simplify]: Extracting #2: cost 213 inf + 1 174.483 * * [simplify]: Extracting #3: cost 323 inf + 74 174.488 * * [simplify]: Extracting #4: cost 287 inf + 14395 174.511 * * [simplify]: Extracting #5: cost 41 inf + 85141 174.536 * * [simplify]: Extracting #6: cost 0 inf + 98739 174.554 * [simplify]: Simplified to (- (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)) (log (sqrt k))) 174.554 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 174.554 * * * * [progress]: [ 135 / 307 ] simplifiying candidate # 174.554 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) 174.555 * * [simplify]: iters left: 6 (17 enodes) 174.567 * * [simplify]: iters left: 5 (73 enodes) 174.586 * * [simplify]: iters left: 4 (128 enodes) 174.630 * * [simplify]: iters left: 3 (346 enodes) 174.824 * * [simplify]: Extracting #0: cost 1 inf + 0 174.824 * * [simplify]: Extracting #1: cost 39 inf + 0 174.825 * * [simplify]: Extracting #2: cost 187 inf + 1 174.827 * * [simplify]: Extracting #3: cost 292 inf + 74 174.830 * * [simplify]: Extracting #4: cost 288 inf + 4502 174.844 * * [simplify]: Extracting #5: cost 113 inf + 47736 174.872 * * [simplify]: Extracting #6: cost 5 inf + 80719 174.902 * * [simplify]: Extracting #7: cost 0 inf + 81684 174.933 * [simplify]: Simplified to (- (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))) 174.933 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))))) 174.933 * * * * [progress]: [ 136 / 307 ] simplifiying candidate # 174.933 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 174.933 * * [simplify]: iters left: 6 (16 enodes) 174.938 * * [simplify]: iters left: 5 (72 enodes) 174.950 * * [simplify]: iters left: 4 (135 enodes) 174.977 * * [simplify]: iters left: 3 (319 enodes) 175.144 * * [simplify]: Extracting #0: cost 1 inf + 0 175.145 * * [simplify]: Extracting #1: cost 29 inf + 0 175.145 * * [simplify]: Extracting #2: cost 153 inf + 1 175.147 * * [simplify]: Extracting #3: cost 253 inf + 74 175.155 * * [simplify]: Extracting #4: cost 256 inf + 4039 175.166 * * [simplify]: Extracting #5: cost 92 inf + 38176 175.188 * * [simplify]: Extracting #6: cost 3 inf + 61205 175.204 * * [simplify]: Extracting #7: cost 0 inf + 61986 175.217 * [simplify]: Simplified to (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))) 175.217 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))))) 175.217 * * * * [progress]: [ 137 / 307 ] simplifiying candidate # 175.217 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 175.217 * * [simplify]: iters left: 6 (16 enodes) 175.222 * * [simplify]: iters left: 5 (72 enodes) 175.244 * * [simplify]: iters left: 4 (135 enodes) 175.291 * * [simplify]: iters left: 3 (319 enodes) 175.414 * * [simplify]: Extracting #0: cost 1 inf + 0 175.414 * * [simplify]: Extracting #1: cost 29 inf + 0 175.414 * * [simplify]: Extracting #2: cost 153 inf + 1 175.415 * * [simplify]: Extracting #3: cost 253 inf + 74 175.416 * * [simplify]: Extracting #4: cost 256 inf + 4039 175.422 * * [simplify]: Extracting #5: cost 92 inf + 38176 175.435 * * [simplify]: Extracting #6: cost 3 inf + 61205 175.464 * * [simplify]: Extracting #7: cost 0 inf + 61986 175.476 * [simplify]: Simplified to (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))) 175.476 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))))) 175.476 * * * * [progress]: [ 138 / 307 ] simplifiying candidate # 175.476 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 175.477 * * [simplify]: iters left: 6 (16 enodes) 175.482 * * [simplify]: iters left: 5 (71 enodes) 175.498 * * [simplify]: iters left: 4 (127 enodes) 175.542 * * [simplify]: iters left: 3 (291 enodes) 175.653 * * [simplify]: Extracting #0: cost 1 inf + 0 175.653 * * [simplify]: Extracting #1: cost 34 inf + 0 175.653 * * [simplify]: Extracting #2: cost 199 inf + 1 175.654 * * [simplify]: Extracting #3: cost 311 inf + 3 175.659 * * [simplify]: Extracting #4: cost 280 inf + 8664 175.668 * * [simplify]: Extracting #5: cost 80 inf + 59183 175.693 * * [simplify]: Extracting #6: cost 1 inf + 76852 175.706 * * [simplify]: Extracting #7: cost 0 inf + 76426 175.720 * * [simplify]: Extracting #8: cost 0 inf + 76305 175.735 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) (log (sqrt k))) 175.735 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) (log (sqrt k))))) 175.735 * * * * [progress]: [ 139 / 307 ] simplifiying candidate # 175.735 * [simplify]: Simplifying (- (log 1) (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 175.735 * * [simplify]: iters left: 6 (15 enodes) 175.740 * * [simplify]: iters left: 5 (65 enodes) 175.752 * * [simplify]: iters left: 4 (104 enodes) 175.777 * * [simplify]: iters left: 3 (195 enodes) 175.855 * * [simplify]: Extracting #0: cost 1 inf + 0 175.855 * * [simplify]: Extracting #1: cost 11 inf + 0 175.855 * * [simplify]: Extracting #2: cost 104 inf + 1 175.856 * * [simplify]: Extracting #3: cost 173 inf + 3 175.857 * * [simplify]: Extracting #4: cost 203 inf + 205 175.860 * * [simplify]: Extracting #5: cost 142 inf + 11800 175.874 * * [simplify]: Extracting #6: cost 36 inf + 38738 175.890 * * [simplify]: Extracting #7: cost 0 inf + 49721 175.906 * * [simplify]: Extracting #8: cost 0 inf + 49021 175.921 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* 2 PI) n))))) 175.921 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* 2 PI) n))))))) 175.921 * * * * [progress]: [ 140 / 307 ] simplifiying candidate # 175.921 * [simplify]: Simplifying (log (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 175.922 * * [simplify]: iters left: 6 (14 enodes) 175.929 * * [simplify]: iters left: 5 (63 enodes) 175.939 * * [simplify]: iters left: 4 (112 enodes) 175.959 * * [simplify]: iters left: 3 (192 enodes) 176.019 * * [simplify]: iters left: 2 (422 enodes) 176.190 * * [simplify]: Extracting #0: cost 1 inf + 0 176.190 * * [simplify]: Extracting #1: cost 35 inf + 0 176.191 * * [simplify]: Extracting #2: cost 200 inf + 1 176.194 * * [simplify]: Extracting #3: cost 365 inf + 6 176.197 * * [simplify]: Extracting #4: cost 358 inf + 4478 176.204 * * [simplify]: Extracting #5: cost 270 inf + 26808 176.219 * * [simplify]: Extracting #6: cost 74 inf + 109795 176.261 * * [simplify]: Extracting #7: cost 0 inf + 143277 176.308 * * [simplify]: Extracting #8: cost 0 inf + 142677 176.334 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k))) 176.335 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k))))) 176.335 * * * * [progress]: [ 141 / 307 ] simplifiying candidate # 176.335 * [simplify]: Simplifying (exp (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 176.335 * * [simplify]: iters left: 6 (14 enodes) 176.343 * * [simplify]: iters left: 5 (59 enodes) 176.361 * * [simplify]: iters left: 4 (103 enodes) 176.379 * * [simplify]: iters left: 3 (165 enodes) 176.429 * * [simplify]: iters left: 2 (344 enodes) 176.574 * * [simplify]: Extracting #0: cost 1 inf + 0 176.574 * * [simplify]: Extracting #1: cost 32 inf + 0 176.575 * * [simplify]: Extracting #2: cost 141 inf + 72 176.576 * * [simplify]: Extracting #3: cost 233 inf + 75 176.579 * * [simplify]: Extracting #4: cost 215 inf + 6808 176.587 * * [simplify]: Extracting #5: cost 140 inf + 27735 176.605 * * [simplify]: Extracting #6: cost 65 inf + 70662 176.636 * * [simplify]: Extracting #7: cost 0 inf + 122164 176.673 * * [simplify]: Extracting #8: cost 0 inf + 118791 176.701 * * [simplify]: Extracting #9: cost 0 inf + 117481 176.719 * [simplify]: Simplified to (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 176.719 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 176.720 * * * * [progress]: [ 142 / 307 ] simplifiying candidate # 176.720 * [simplify]: Simplifying (/ (* (* 1 1) 1) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 176.720 * * [simplify]: iters left: 6 (19 enodes) 176.726 * * [simplify]: iters left: 5 (79 enodes) 176.740 * * [simplify]: iters left: 4 (195 enodes) 176.829 * * [simplify]: Extracting #0: cost 1 inf + 0 176.829 * * [simplify]: Extracting #1: cost 50 inf + 0 176.829 * * [simplify]: Extracting #2: cost 125 inf + 124 176.830 * * [simplify]: Extracting #3: cost 160 inf + 657 176.830 * * [simplify]: Extracting #4: cost 160 inf + 914 176.832 * * [simplify]: Extracting #5: cost 119 inf + 11568 176.841 * * [simplify]: Extracting #6: cost 24 inf + 62891 176.857 * * [simplify]: Extracting #7: cost 0 inf + 79760 176.881 * [simplify]: Simplified to (/ (* (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (* k (sqrt k))) 176.881 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (* k (sqrt k))))) 176.881 * * * * [progress]: [ 143 / 307 ] simplifiying candidate # 176.882 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (/ (sqrt k) (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))))) 176.882 * * [simplify]: iters left: 6 (17 enodes) 176.895 * * [simplify]: iters left: 5 (74 enodes) 176.911 * * [simplify]: iters left: 4 (166 enodes) 176.953 * * [simplify]: iters left: 3 (438 enodes) 177.339 * * [simplify]: Extracting #0: cost 1 inf + 0 177.340 * * [simplify]: Extracting #1: cost 73 inf + 0 177.342 * * [simplify]: Extracting #2: cost 330 inf + 1 177.345 * * [simplify]: Extracting #3: cost 400 inf + 250 177.349 * * [simplify]: Extracting #4: cost 390 inf + 1579 177.362 * * [simplify]: Extracting #5: cost 286 inf + 46812 177.415 * * [simplify]: Extracting #6: cost 45 inf + 220676 177.464 * * [simplify]: Extracting #7: cost 0 inf + 255425 177.522 * * [simplify]: Extracting #8: cost 0 inf + 254269 177.591 * * [simplify]: Extracting #9: cost 0 inf + 253655 177.647 * [simplify]: Simplified to (* (/ (pow (* 2 (* PI n)) (/ (- 1 k) 2)) (sqrt k)) (* (/ (pow (* 2 (* PI n)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* 2 (* PI n)) (/ (- 1 k) 2)) (sqrt k)))) 177.647 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (* 2 (* PI n)) (/ (- 1 k) 2)) (sqrt k)) (* (/ (pow (* 2 (* PI n)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* 2 (* PI n)) (/ (- 1 k) 2)) (sqrt k)))))) 177.647 * * * * [progress]: [ 144 / 307 ] simplifiying candidate # 177.647 * [simplify]: Simplifying (* (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 177.648 * * [simplify]: iters left: 6 (15 enodes) 177.656 * * [simplify]: iters left: 5 (62 enodes) 177.676 * * [simplify]: iters left: 4 (104 enodes) 177.710 * * [simplify]: iters left: 3 (165 enodes) 177.772 * * [simplify]: iters left: 2 (317 enodes) 177.909 * * [simplify]: Extracting #0: cost 1 inf + 0 177.909 * * [simplify]: Extracting #1: cost 3 inf + 0 177.909 * * [simplify]: Extracting #2: cost 5 inf + 0 177.909 * * [simplify]: Extracting #3: cost 48 inf + 0 177.910 * * [simplify]: Extracting #4: cost 133 inf + 1 177.910 * * [simplify]: Extracting #5: cost 181 inf + 45 177.912 * * [simplify]: Extracting #6: cost 161 inf + 5927 177.915 * * [simplify]: Extracting #7: cost 102 inf + 21340 177.924 * * [simplify]: Extracting #8: cost 33 inf + 64156 177.938 * * [simplify]: Extracting #9: cost 0 inf + 90425 177.952 * * [simplify]: Extracting #10: cost 0 inf + 90224 177.975 * * [simplify]: Extracting #11: cost 0 inf + 90184 177.995 * [simplify]: Simplified to (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 177.995 * [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 (* n (* 2 PI)) (/ (- 1 k) 2))))))) 177.995 * [simplify]: Simplifying (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 177.995 * * [simplify]: iters left: 6 (14 enodes) 177.999 * * [simplify]: iters left: 5 (59 enodes) 178.011 * * [simplify]: iters left: 4 (101 enodes) 178.027 * * [simplify]: iters left: 3 (158 enodes) 178.077 * * [simplify]: iters left: 2 (310 enodes) 178.170 * * [simplify]: Extracting #0: cost 1 inf + 0 178.170 * * [simplify]: Extracting #1: cost 3 inf + 0 178.170 * * [simplify]: Extracting #2: cost 51 inf + 0 178.171 * * [simplify]: Extracting #3: cost 135 inf + 1 178.172 * * [simplify]: Extracting #4: cost 180 inf + 127 178.174 * * [simplify]: Extracting #5: cost 171 inf + 1420 178.179 * * [simplify]: Extracting #6: cost 121 inf + 14633 178.193 * * [simplify]: Extracting #7: cost 26 inf + 74696 178.206 * * [simplify]: Extracting #8: cost 0 inf + 88029 178.220 * * [simplify]: Extracting #9: cost 0 inf + 87247 178.248 * [simplify]: Simplified to (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 178.248 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 178.248 * * * * [progress]: [ 145 / 307 ] simplifiying candidate # 178.248 * [simplify]: Simplifying (* (* (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 178.248 * * [simplify]: iters left: 6 (15 enodes) 178.253 * * [simplify]: iters left: 5 (69 enodes) 178.268 * * [simplify]: iters left: 4 (137 enodes) 178.318 * * [simplify]: iters left: 3 (342 enodes) 178.607 * * [simplify]: Extracting #0: cost 1 inf + 0 178.608 * * [simplify]: Extracting #1: cost 69 inf + 0 178.610 * * [simplify]: Extracting #2: cost 250 inf + 2 178.612 * * [simplify]: Extracting #3: cost 284 inf + 744 178.615 * * [simplify]: Extracting #4: cost 265 inf + 2892 178.624 * * [simplify]: Extracting #5: cost 184 inf + 37424 178.648 * * [simplify]: Extracting #6: cost 26 inf + 143612 178.692 * * [simplify]: Extracting #7: cost 0 inf + 163508 178.739 * [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))) 178.739 * [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))))) 178.739 * * * * [progress]: [ 146 / 307 ] simplifiying candidate # 178.739 * [simplify]: Simplifying (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 178.739 * * [simplify]: iters left: 6 (14 enodes) 178.744 * * [simplify]: iters left: 5 (59 enodes) 178.754 * * [simplify]: iters left: 4 (101 enodes) 178.775 * * [simplify]: iters left: 3 (158 enodes) 178.815 * * [simplify]: iters left: 2 (310 enodes) 178.938 * * [simplify]: Extracting #0: cost 1 inf + 0 178.938 * * [simplify]: Extracting #1: cost 3 inf + 0 178.938 * * [simplify]: Extracting #2: cost 51 inf + 0 178.939 * * [simplify]: Extracting #3: cost 135 inf + 1 178.939 * * [simplify]: Extracting #4: cost 180 inf + 127 178.940 * * [simplify]: Extracting #5: cost 171 inf + 1420 178.943 * * [simplify]: Extracting #6: cost 121 inf + 14553 178.953 * * [simplify]: Extracting #7: cost 26 inf + 74616 178.977 * * [simplify]: Extracting #8: cost 0 inf + 87949 178.991 * * [simplify]: Extracting #9: cost 0 inf + 87167 179.005 * [simplify]: Simplified to (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 179.005 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 179.005 * [simplify]: Simplifying (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 179.006 * * [simplify]: iters left: 6 (14 enodes) 179.010 * * [simplify]: iters left: 5 (59 enodes) 179.028 * * [simplify]: iters left: 4 (101 enodes) 179.055 * * [simplify]: iters left: 3 (158 enodes) 179.097 * * [simplify]: iters left: 2 (310 enodes) 179.191 * * [simplify]: Extracting #0: cost 1 inf + 0 179.191 * * [simplify]: Extracting #1: cost 3 inf + 0 179.192 * * [simplify]: Extracting #2: cost 51 inf + 0 179.192 * * [simplify]: Extracting #3: cost 135 inf + 1 179.193 * * [simplify]: Extracting #4: cost 180 inf + 127 179.195 * * [simplify]: Extracting #5: cost 171 inf + 1420 179.200 * * [simplify]: Extracting #6: cost 121 inf + 14553 179.219 * * [simplify]: Extracting #7: cost 26 inf + 74616 179.247 * * [simplify]: Extracting #8: cost 0 inf + 87949 179.278 * * [simplify]: Extracting #9: cost 0 inf + 87167 179.305 * [simplify]: Simplified to (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 179.305 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 179.305 * * * * [progress]: [ 147 / 307 ] simplifiying candidate # 179.306 * [simplify]: Simplifying (- 1) 179.306 * * [simplify]: iters left: 2 (2 enodes) 179.308 * * [simplify]: iters left: 1 (9 enodes) 179.310 * * [simplify]: Extracting #0: cost 1 inf + 0 179.310 * * [simplify]: Extracting #1: cost 0 inf + 1 179.310 * [simplify]: Simplified to -1 179.310 * [simplify]: Simplified (2 1) to (λ (k n) (/ -1 (- (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 179.310 * [simplify]: Simplifying (- (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 179.310 * * [simplify]: iters left: 6 (13 enodes) 179.314 * * [simplify]: iters left: 5 (56 enodes) 179.324 * * [simplify]: iters left: 4 (95 enodes) 179.339 * * [simplify]: iters left: 3 (142 enodes) 179.364 * * [simplify]: iters left: 2 (235 enodes) 179.430 * * [simplify]: iters left: 1 (446 enodes) 179.652 * * [simplify]: Extracting #0: cost 1 inf + 0 179.652 * * [simplify]: Extracting #1: cost 7 inf + 0 179.652 * * [simplify]: Extracting #2: cost 48 inf + 0 179.652 * * [simplify]: Extracting #3: cost 159 inf + 1 179.653 * * [simplify]: Extracting #4: cost 202 inf + 464 179.654 * * [simplify]: Extracting #5: cost 175 inf + 3943 179.658 * * [simplify]: Extracting #6: cost 108 inf + 16712 179.666 * * [simplify]: Extracting #7: cost 42 inf + 59325 179.684 * * [simplify]: Extracting #8: cost 0 inf + 93613 179.712 * * [simplify]: Extracting #9: cost 0 inf + 93527 179.738 * [simplify]: Simplified to (- (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 179.738 * [simplify]: Simplified (2 2) to (λ (k n) (/ -1 (- (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 179.738 * * * * [progress]: [ 148 / 307 ] simplifiying candidate # 179.738 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 179.738 * * [simplify]: iters left: 6 (17 enodes) 179.744 * * [simplify]: iters left: 5 (72 enodes) 179.756 * * [simplify]: iters left: 4 (117 enodes) 179.776 * * [simplify]: iters left: 3 (193 enodes) 179.827 * * [simplify]: iters left: 2 (300 enodes) 179.916 * * [simplify]: iters left: 1 (486 enodes) 180.112 * * [simplify]: Extracting #0: cost 1 inf + 0 180.112 * * [simplify]: Extracting #1: cost 6 inf + 0 180.112 * * [simplify]: Extracting #2: cost 9 inf + 1 180.112 * * [simplify]: Extracting #3: cost 14 inf + 1 180.113 * * [simplify]: Extracting #4: cost 47 inf + 1 180.113 * * [simplify]: Extracting #5: cost 139 inf + 85 180.115 * * [simplify]: Extracting #6: cost 181 inf + 1293 180.120 * * [simplify]: Extracting #7: cost 129 inf + 8388 180.134 * * [simplify]: Extracting #8: cost 33 inf + 54361 180.158 * * [simplify]: Extracting #9: cost 0 inf + 80249 180.182 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))))) 180.182 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 180.183 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 180.183 * * [simplify]: iters left: 6 (15 enodes) 180.196 * * [simplify]: iters left: 5 (60 enodes) 180.216 * * [simplify]: iters left: 4 (91 enodes) 180.243 * * [simplify]: iters left: 3 (135 enodes) 180.291 * * [simplify]: iters left: 2 (237 enodes) 180.377 * * [simplify]: iters left: 1 (420 enodes) 180.577 * * [simplify]: Extracting #0: cost 1 inf + 0 180.577 * * [simplify]: Extracting #1: cost 4 inf + 0 180.577 * * [simplify]: Extracting #2: cost 5 inf + 1 180.577 * * [simplify]: Extracting #3: cost 10 inf + 1 180.578 * * [simplify]: Extracting #4: cost 43 inf + 1 180.578 * * [simplify]: Extracting #5: cost 130 inf + 85 180.580 * * [simplify]: Extracting #6: cost 175 inf + 1705 180.586 * * [simplify]: Extracting #7: cost 108 inf + 15159 180.602 * * [simplify]: Extracting #8: cost 21 inf + 63616 180.625 * * [simplify]: Extracting #9: cost 0 inf + 75711 180.647 * * [simplify]: Extracting #10: cost 0 inf + 75351 180.661 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 180.661 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 180.661 * * * * [progress]: [ 149 / 307 ] simplifiying candidate # 180.662 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 180.662 * * [simplify]: iters left: 6 (16 enodes) 180.667 * * [simplify]: iters left: 5 (65 enodes) 180.678 * * [simplify]: iters left: 4 (96 enodes) 180.699 * * [simplify]: iters left: 3 (141 enodes) 180.741 * * [simplify]: iters left: 2 (244 enodes) 180.806 * * [simplify]: iters left: 1 (425 enodes) 180.952 * * [simplify]: Extracting #0: cost 1 inf + 0 180.952 * * [simplify]: Extracting #1: cost 4 inf + 0 180.953 * * [simplify]: Extracting #2: cost 5 inf + 1 180.953 * * [simplify]: Extracting #3: cost 10 inf + 1 180.953 * * [simplify]: Extracting #4: cost 45 inf + 1 180.954 * * [simplify]: Extracting #5: cost 145 inf + 85 180.955 * * [simplify]: Extracting #6: cost 187 inf + 591 180.959 * * [simplify]: Extracting #7: cost 135 inf + 6498 180.966 * * [simplify]: Extracting #8: cost 88 inf + 18514 180.984 * * [simplify]: Extracting #9: cost 15 inf + 74615 181.000 * * [simplify]: Extracting #10: cost 0 inf + 85990 181.013 * * [simplify]: Extracting #11: cost 0 inf + 84904 181.036 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 181.036 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 181.036 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 181.037 * * [simplify]: iters left: 6 (15 enodes) 181.044 * * [simplify]: iters left: 5 (60 enodes) 181.054 * * [simplify]: iters left: 4 (91 enodes) 181.068 * * [simplify]: iters left: 3 (135 enodes) 181.097 * * [simplify]: iters left: 2 (237 enodes) 181.178 * * [simplify]: iters left: 1 (420 enodes) 181.354 * * [simplify]: Extracting #0: cost 1 inf + 0 181.354 * * [simplify]: Extracting #1: cost 4 inf + 0 181.354 * * [simplify]: Extracting #2: cost 5 inf + 1 181.354 * * [simplify]: Extracting #3: cost 10 inf + 1 181.354 * * [simplify]: Extracting #4: cost 43 inf + 1 181.355 * * [simplify]: Extracting #5: cost 130 inf + 85 181.356 * * [simplify]: Extracting #6: cost 175 inf + 1705 181.358 * * [simplify]: Extracting #7: cost 108 inf + 15039 181.374 * * [simplify]: Extracting #8: cost 21 inf + 63456 181.397 * * [simplify]: Extracting #9: cost 0 inf + 75551 181.421 * * [simplify]: Extracting #10: cost 0 inf + 75191 181.442 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 181.442 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 181.442 * * * * [progress]: [ 150 / 307 ] simplifiying candidate # 181.442 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 181.442 * * [simplify]: iters left: 6 (14 enodes) 181.447 * * [simplify]: iters left: 5 (59 enodes) 181.458 * * [simplify]: iters left: 4 (105 enodes) 181.476 * * [simplify]: iters left: 3 (218 enodes) 181.569 * * [simplify]: Extracting #0: cost 1 inf + 0 181.569 * * [simplify]: Extracting #1: cost 38 inf + 0 181.570 * * [simplify]: Extracting #2: cost 110 inf + 1 181.570 * * [simplify]: Extracting #3: cost 140 inf + 3 181.571 * * [simplify]: Extracting #4: cost 132 inf + 1025 181.572 * * [simplify]: Extracting #5: cost 84 inf + 10023 181.576 * * [simplify]: Extracting #6: cost 47 inf + 25739 181.582 * * [simplify]: Extracting #7: cost 0 inf + 55505 181.590 * * [simplify]: Extracting #8: cost 0 inf + 55306 181.602 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 181.602 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 181.603 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 181.603 * * [simplify]: iters left: 6 (13 enodes) 181.611 * * [simplify]: iters left: 5 (53 enodes) 181.632 * * [simplify]: iters left: 4 (89 enodes) 181.660 * * [simplify]: iters left: 3 (148 enodes) 181.720 * * [simplify]: iters left: 2 (312 enodes) 182.246 * * [simplify]: Extracting #0: cost 1 inf + 0 182.246 * * [simplify]: Extracting #1: cost 42 inf + 0 182.247 * * [simplify]: Extracting #2: cost 120 inf + 1 182.247 * * [simplify]: Extracting #3: cost 167 inf + 3 182.248 * * [simplify]: Extracting #4: cost 162 inf + 873 182.250 * * [simplify]: Extracting #5: cost 130 inf + 6079 182.255 * * [simplify]: Extracting #6: cost 64 inf + 34958 182.265 * * [simplify]: Extracting #7: cost 7 inf + 77044 182.282 * * [simplify]: Extracting #8: cost 0 inf + 80090 182.304 * * [simplify]: Extracting #9: cost 0 inf + 79790 182.327 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 182.327 * [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))))) 182.327 * * * * [progress]: [ 151 / 307 ] simplifiying candidate # 182.328 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 182.328 * * [simplify]: iters left: 6 (19 enodes) 182.339 * * [simplify]: iters left: 5 (82 enodes) 182.365 * * [simplify]: iters left: 4 (145 enodes) 182.390 * * [simplify]: iters left: 3 (245 enodes) 182.457 * * [simplify]: iters left: 2 (423 enodes) 182.603 * * [simplify]: Extracting #0: cost 1 inf + 0 182.603 * * [simplify]: Extracting #1: cost 16 inf + 0 182.604 * * [simplify]: Extracting #2: cost 31 inf + 1 182.604 * * [simplify]: Extracting #3: cost 45 inf + 1 182.605 * * [simplify]: Extracting #4: cost 85 inf + 489 182.606 * * [simplify]: Extracting #5: cost 109 inf + 1469 182.610 * * [simplify]: Extracting #6: cost 63 inf + 13252 182.621 * * [simplify]: Extracting #7: cost 8 inf + 34504 182.634 * * [simplify]: Extracting #8: cost 0 inf + 38312 182.648 * * [simplify]: Extracting #9: cost 0 inf + 38182 182.665 * [simplify]: Simplified to (* (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 182.665 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 182.665 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 182.665 * * [simplify]: iters left: 6 (16 enodes) 182.675 * * [simplify]: iters left: 5 (65 enodes) 182.690 * * [simplify]: iters left: 4 (101 enodes) 182.706 * * [simplify]: iters left: 3 (147 enodes) 182.749 * * [simplify]: iters left: 2 (258 enodes) 182.816 * * [simplify]: iters left: 1 (426 enodes) 182.943 * * [simplify]: Extracting #0: cost 1 inf + 0 182.943 * * [simplify]: Extracting #1: cost 7 inf + 0 182.943 * * [simplify]: Extracting #2: cost 12 inf + 1 182.943 * * [simplify]: Extracting #3: cost 41 inf + 1 182.944 * * [simplify]: Extracting #4: cost 115 inf + 327 182.945 * * [simplify]: Extracting #5: cost 169 inf + 1738 182.948 * * [simplify]: Extracting #6: cost 92 inf + 19020 182.957 * * [simplify]: Extracting #7: cost 12 inf + 61613 182.971 * * [simplify]: Extracting #8: cost 0 inf + 67284 182.995 * * [simplify]: Extracting #9: cost 0 inf + 66569 183.013 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 183.013 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 183.013 * * * * [progress]: [ 152 / 307 ] simplifiying candidate # 183.014 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 183.014 * * [simplify]: iters left: 6 (18 enodes) 183.019 * * [simplify]: iters left: 5 (75 enodes) 183.035 * * [simplify]: iters left: 4 (119 enodes) 183.054 * * [simplify]: iters left: 3 (203 enodes) 183.126 * * [simplify]: iters left: 2 (359 enodes) 183.235 * * [simplify]: Extracting #0: cost 1 inf + 0 183.235 * * [simplify]: Extracting #1: cost 11 inf + 0 183.235 * * [simplify]: Extracting #2: cost 21 inf + 1 183.235 * * [simplify]: Extracting #3: cost 41 inf + 1 183.236 * * [simplify]: Extracting #4: cost 91 inf + 529 183.236 * * [simplify]: Extracting #5: cost 98 inf + 2130 183.238 * * [simplify]: Extracting #6: cost 52 inf + 10974 183.245 * * [simplify]: Extracting #7: cost 14 inf + 23143 183.255 * * [simplify]: Extracting #8: cost 0 inf + 33388 183.269 * * [simplify]: Extracting #9: cost 0 inf + 33257 183.279 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 183.279 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 183.280 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 183.280 * * [simplify]: iters left: 6 (16 enodes) 183.289 * * [simplify]: iters left: 5 (65 enodes) 183.309 * * [simplify]: iters left: 4 (102 enodes) 183.340 * * [simplify]: iters left: 3 (148 enodes) 183.381 * * [simplify]: iters left: 2 (260 enodes) 183.438 * * [simplify]: iters left: 1 (422 enodes) 183.571 * * [simplify]: Extracting #0: cost 1 inf + 0 183.571 * * [simplify]: Extracting #1: cost 7 inf + 0 183.572 * * [simplify]: Extracting #2: cost 13 inf + 1 183.572 * * [simplify]: Extracting #3: cost 44 inf + 1 183.573 * * [simplify]: Extracting #4: cost 121 inf + 327 183.574 * * [simplify]: Extracting #5: cost 144 inf + 1858 183.579 * * [simplify]: Extracting #6: cost 84 inf + 14699 183.593 * * [simplify]: Extracting #7: cost 19 inf + 46365 183.608 * * [simplify]: Extracting #8: cost 0 inf + 63003 183.617 * * [simplify]: Extracting #9: cost 0 inf + 62844 183.627 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 183.627 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 183.627 * * * * [progress]: [ 153 / 307 ] simplifiying candidate # 183.628 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 183.628 * * [simplify]: iters left: 6 (9 enodes) 183.631 * * [simplify]: iters left: 5 (33 enodes) 183.637 * * [simplify]: iters left: 4 (49 enodes) 183.644 * * [simplify]: iters left: 3 (74 enodes) 183.657 * * [simplify]: Extracting #0: cost 1 inf + 0 183.657 * * [simplify]: Extracting #1: cost 6 inf + 0 183.657 * * [simplify]: Extracting #2: cost 9 inf + 1 183.657 * * [simplify]: Extracting #3: cost 11 inf + 1 183.657 * * [simplify]: Extracting #4: cost 3 inf + 850 183.659 * * [simplify]: Extracting #5: cost 0 inf + 1376 183.660 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 183.660 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 183.660 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 183.660 * * [simplify]: iters left: 6 (15 enodes) 183.666 * * [simplify]: iters left: 5 (62 enodes) 183.676 * * [simplify]: iters left: 4 (102 enodes) 183.695 * * [simplify]: iters left: 3 (168 enodes) 183.752 * * [simplify]: iters left: 2 (350 enodes) 183.878 * * [simplify]: Extracting #0: cost 1 inf + 0 183.878 * * [simplify]: Extracting #1: cost 54 inf + 0 183.878 * * [simplify]: Extracting #2: cost 147 inf + 1 183.879 * * [simplify]: Extracting #3: cost 196 inf + 3 183.880 * * [simplify]: Extracting #4: cost 173 inf + 4434 183.886 * * [simplify]: Extracting #5: cost 98 inf + 37266 183.912 * * [simplify]: Extracting #6: cost 14 inf + 98483 183.942 * * [simplify]: Extracting #7: cost 0 inf + 103635 183.963 * * [simplify]: Extracting #8: cost 0 inf + 103373 183.988 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 183.988 * [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))))) 183.989 * * * * [progress]: [ 154 / 307 ] simplifiying candidate # 183.989 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 183.989 * * [simplify]: iters left: 6 (18 enodes) 183.995 * * [simplify]: iters left: 5 (78 enodes) 184.019 * * [simplify]: iters left: 4 (135 enodes) 184.057 * * [simplify]: iters left: 3 (270 enodes) 184.154 * * [simplify]: Extracting #0: cost 1 inf + 0 184.154 * * [simplify]: Extracting #1: cost 41 inf + 0 184.154 * * [simplify]: Extracting #2: cost 115 inf + 1 184.155 * * [simplify]: Extracting #3: cost 160 inf + 2 184.155 * * [simplify]: Extracting #4: cost 162 inf + 539 184.157 * * [simplify]: Extracting #5: cost 102 inf + 11415 184.167 * * [simplify]: Extracting #6: cost 28 inf + 48208 184.177 * * [simplify]: Extracting #7: cost 0 inf + 66045 184.186 * * [simplify]: Extracting #8: cost 0 inf + 65885 184.197 * [simplify]: Simplified to (/ (pow (* 2 (* PI n)) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 184.197 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 (* PI n)) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 184.198 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 184.198 * * [simplify]: iters left: 6 (16 enodes) 184.206 * * [simplify]: iters left: 5 (68 enodes) 184.218 * * [simplify]: iters left: 4 (115 enodes) 184.241 * * [simplify]: iters left: 3 (196 enodes) 184.317 * * [simplify]: iters left: 2 (406 enodes) 184.439 * * [simplify]: Extracting #0: cost 1 inf + 0 184.439 * * [simplify]: Extracting #1: cost 40 inf + 0 184.439 * * [simplify]: Extracting #2: cost 119 inf + 1 184.440 * * [simplify]: Extracting #3: cost 178 inf + 3 184.441 * * [simplify]: Extracting #4: cost 182 inf + 592 184.443 * * [simplify]: Extracting #5: cost 149 inf + 7642 184.451 * * [simplify]: Extracting #6: cost 32 inf + 65720 184.465 * * [simplify]: Extracting #7: cost 1 inf + 87669 184.478 * * [simplify]: Extracting #8: cost 0 inf + 87670 184.499 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 184.499 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 184.499 * * * * [progress]: [ 155 / 307 ] simplifiying candidate # 184.500 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 184.500 * * [simplify]: iters left: 6 (14 enodes) 184.508 * * [simplify]: iters left: 5 (58 enodes) 184.528 * * [simplify]: iters left: 4 (90 enodes) 184.560 * * [simplify]: iters left: 3 (152 enodes) 184.621 * * [simplify]: iters left: 2 (326 enodes) 184.701 * * [simplify]: Extracting #0: cost 1 inf + 0 184.701 * * [simplify]: Extracting #1: cost 44 inf + 0 184.701 * * [simplify]: Extracting #2: cost 136 inf + 1 184.702 * * [simplify]: Extracting #3: cost 183 inf + 4 184.703 * * [simplify]: Extracting #4: cost 170 inf + 3230 184.705 * * [simplify]: Extracting #5: cost 131 inf + 10056 184.714 * * [simplify]: Extracting #6: cost 58 inf + 45264 184.724 * * [simplify]: Extracting #7: cost 3 inf + 84669 184.736 * * [simplify]: Extracting #8: cost 0 inf + 86693 184.747 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 184.747 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 184.747 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 184.747 * * [simplify]: iters left: 6 (13 enodes) 184.752 * * [simplify]: iters left: 5 (53 enodes) 184.761 * * [simplify]: iters left: 4 (89 enodes) 184.777 * * [simplify]: iters left: 3 (148 enodes) 184.834 * * [simplify]: iters left: 2 (312 enodes) 184.981 * * [simplify]: Extracting #0: cost 1 inf + 0 184.981 * * [simplify]: Extracting #1: cost 42 inf + 0 184.982 * * [simplify]: Extracting #2: cost 120 inf + 1 184.983 * * [simplify]: Extracting #3: cost 167 inf + 3 184.984 * * [simplify]: Extracting #4: cost 162 inf + 953 184.987 * * [simplify]: Extracting #5: cost 130 inf + 6159 184.996 * * [simplify]: Extracting #6: cost 64 inf + 35038 185.010 * * [simplify]: Extracting #7: cost 7 inf + 77124 185.024 * * [simplify]: Extracting #8: cost 0 inf + 80170 185.035 * * [simplify]: Extracting #9: cost 0 inf + 79870 185.059 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 185.059 * [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))))) 185.059 * * * * [progress]: [ 156 / 307 ] simplifiying candidate # 185.059 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 185.060 * * [simplify]: iters left: 6 (19 enodes) 185.070 * * [simplify]: iters left: 5 (79 enodes) 185.095 * * [simplify]: iters left: 4 (117 enodes) 185.131 * * [simplify]: iters left: 3 (176 enodes) 185.185 * * [simplify]: iters left: 2 (292 enodes) 185.263 * * [simplify]: iters left: 1 (479 enodes) 185.465 * * [simplify]: Extracting #0: cost 1 inf + 0 185.465 * * [simplify]: Extracting #1: cost 10 inf + 0 185.465 * * [simplify]: Extracting #2: cost 19 inf + 1 185.465 * * [simplify]: Extracting #3: cost 47 inf + 1 185.466 * * [simplify]: Extracting #4: cost 116 inf + 973 185.468 * * [simplify]: Extracting #5: cost 185 inf + 1477 185.477 * * [simplify]: Extracting #6: cost 126 inf + 10910 185.488 * * [simplify]: Extracting #7: cost 35 inf + 39828 185.499 * * [simplify]: Extracting #8: cost 1 inf + 69829 185.510 * * [simplify]: Extracting #9: cost 0 inf + 70496 185.525 * [simplify]: Simplified to (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (fabs (cbrt k)))) 185.525 * [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)))) (fabs (cbrt k)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 185.526 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 185.526 * * [simplify]: iters left: 6 (16 enodes) 185.535 * * [simplify]: iters left: 5 (65 enodes) 185.556 * * [simplify]: iters left: 4 (101 enodes) 185.587 * * [simplify]: iters left: 3 (147 enodes) 185.618 * * [simplify]: iters left: 2 (258 enodes) 185.676 * * [simplify]: iters left: 1 (426 enodes) 185.813 * * [simplify]: Extracting #0: cost 1 inf + 0 185.813 * * [simplify]: Extracting #1: cost 7 inf + 0 185.813 * * [simplify]: Extracting #2: cost 12 inf + 1 185.813 * * [simplify]: Extracting #3: cost 41 inf + 1 185.814 * * [simplify]: Extracting #4: cost 115 inf + 407 185.815 * * [simplify]: Extracting #5: cost 169 inf + 1818 185.818 * * [simplify]: Extracting #6: cost 92 inf + 19100 185.836 * * [simplify]: Extracting #7: cost 12 inf + 61693 185.858 * * [simplify]: Extracting #8: cost 0 inf + 67364 185.874 * * [simplify]: Extracting #9: cost 0 inf + 66649 185.889 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 185.889 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 185.889 * * * * [progress]: [ 157 / 307 ] simplifiying candidate # 185.890 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 185.890 * * [simplify]: iters left: 6 (18 enodes) 185.900 * * [simplify]: iters left: 5 (74 enodes) 185.922 * * [simplify]: iters left: 4 (111 enodes) 185.939 * * [simplify]: iters left: 3 (162 enodes) 185.993 * * [simplify]: iters left: 2 (270 enodes) 186.048 * * [simplify]: iters left: 1 (461 enodes) 186.231 * * [simplify]: Extracting #0: cost 1 inf + 0 186.231 * * [simplify]: Extracting #1: cost 7 inf + 0 186.231 * * [simplify]: Extracting #2: cost 14 inf + 1 186.232 * * [simplify]: Extracting #3: cost 44 inf + 1 186.233 * * [simplify]: Extracting #4: cost 128 inf + 286 186.234 * * [simplify]: Extracting #5: cost 184 inf + 621 186.239 * * [simplify]: Extracting #6: cost 116 inf + 9432 186.248 * * [simplify]: Extracting #7: cost 44 inf + 27201 186.266 * * [simplify]: Extracting #8: cost 0 inf + 66166 186.280 * * [simplify]: Extracting #9: cost 0 inf + 63723 186.292 * * [simplify]: Extracting #10: cost 0 inf + 62242 186.309 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (fabs (cbrt k))) 186.309 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 186.309 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 186.310 * * [simplify]: iters left: 6 (16 enodes) 186.315 * * [simplify]: iters left: 5 (65 enodes) 186.325 * * [simplify]: iters left: 4 (102 enodes) 186.349 * * [simplify]: iters left: 3 (148 enodes) 186.404 * * [simplify]: iters left: 2 (260 enodes) 186.462 * * [simplify]: iters left: 1 (422 enodes) 186.629 * * [simplify]: Extracting #0: cost 1 inf + 0 186.629 * * [simplify]: Extracting #1: cost 7 inf + 0 186.629 * * [simplify]: Extracting #2: cost 13 inf + 1 186.629 * * [simplify]: Extracting #3: cost 44 inf + 1 186.630 * * [simplify]: Extracting #4: cost 121 inf + 407 186.632 * * [simplify]: Extracting #5: cost 144 inf + 1938 186.637 * * [simplify]: Extracting #6: cost 84 inf + 14779 186.650 * * [simplify]: Extracting #7: cost 19 inf + 46445 186.669 * * [simplify]: Extracting #8: cost 0 inf + 63083 186.688 * * [simplify]: Extracting #9: cost 0 inf + 62924 186.706 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 186.706 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 186.707 * * * * [progress]: [ 158 / 307 ] simplifiying candidate # 186.707 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 186.707 * * [simplify]: iters left: 6 (9 enodes) 186.713 * * [simplify]: iters left: 5 (31 enodes) 186.722 * * [simplify]: iters left: 4 (34 enodes) 186.731 * * [simplify]: Extracting #0: cost 1 inf + 0 186.731 * * [simplify]: Extracting #1: cost 4 inf + 0 186.731 * * [simplify]: Extracting #2: cost 6 inf + 1 186.731 * * [simplify]: Extracting #3: cost 9 inf + 1 186.731 * * [simplify]: Extracting #4: cost 0 inf + 972 186.732 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 186.732 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 186.732 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 186.732 * * [simplify]: iters left: 6 (15 enodes) 186.742 * * [simplify]: iters left: 5 (62 enodes) 186.756 * * [simplify]: iters left: 4 (102 enodes) 186.772 * * [simplify]: iters left: 3 (168 enodes) 186.824 * * [simplify]: iters left: 2 (350 enodes) 186.979 * * [simplify]: Extracting #0: cost 1 inf + 0 186.979 * * [simplify]: Extracting #1: cost 54 inf + 0 186.980 * * [simplify]: Extracting #2: cost 147 inf + 1 186.982 * * [simplify]: Extracting #3: cost 196 inf + 3 186.984 * * [simplify]: Extracting #4: cost 173 inf + 4514 186.993 * * [simplify]: Extracting #5: cost 98 inf + 37346 187.018 * * [simplify]: Extracting #6: cost 14 inf + 98563 187.047 * * [simplify]: Extracting #7: cost 0 inf + 103715 187.076 * * [simplify]: Extracting #8: cost 0 inf + 103453 187.109 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 187.109 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 187.109 * * * * [progress]: [ 159 / 307 ] simplifiying candidate # 187.109 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 187.110 * * [simplify]: iters left: 6 (18 enodes) 187.120 * * [simplify]: iters left: 5 (77 enodes) 187.139 * * [simplify]: iters left: 4 (121 enodes) 187.159 * * [simplify]: iters left: 3 (197 enodes) 187.232 * * [simplify]: iters left: 2 (387 enodes) 187.378 * * [simplify]: Extracting #0: cost 1 inf + 0 187.378 * * [simplify]: Extracting #1: cost 46 inf + 0 187.379 * * [simplify]: Extracting #2: cost 132 inf + 1 187.380 * * [simplify]: Extracting #3: cost 194 inf + 3 187.381 * * [simplify]: Extracting #4: cost 190 inf + 1898 187.383 * * [simplify]: Extracting #5: cost 136 inf + 10282 187.388 * * [simplify]: Extracting #6: cost 82 inf + 33612 187.401 * * [simplify]: Extracting #7: cost 12 inf + 86513 187.433 * * [simplify]: Extracting #8: cost 0 inf + 96163 187.461 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (fabs (cbrt k))) 187.461 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 187.462 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 187.462 * * [simplify]: iters left: 6 (16 enodes) 187.471 * * [simplify]: iters left: 5 (68 enodes) 187.493 * * [simplify]: iters left: 4 (115 enodes) 187.525 * * [simplify]: iters left: 3 (196 enodes) 187.576 * * [simplify]: iters left: 2 (406 enodes) 187.738 * * [simplify]: Extracting #0: cost 1 inf + 0 187.738 * * [simplify]: Extracting #1: cost 40 inf + 0 187.739 * * [simplify]: Extracting #2: cost 119 inf + 1 187.739 * * [simplify]: Extracting #3: cost 178 inf + 3 187.740 * * [simplify]: Extracting #4: cost 182 inf + 672 187.742 * * [simplify]: Extracting #5: cost 149 inf + 7722 187.750 * * [simplify]: Extracting #6: cost 32 inf + 65800 187.764 * * [simplify]: Extracting #7: cost 1 inf + 87749 187.791 * * [simplify]: Extracting #8: cost 0 inf + 87750 187.817 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 187.817 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 187.818 * * * * [progress]: [ 160 / 307 ] simplifiying candidate # 187.818 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 187.818 * * [simplify]: iters left: 6 (13 enodes) 187.826 * * [simplify]: iters left: 5 (54 enodes) 187.845 * * [simplify]: iters left: 4 (90 enodes) 187.877 * * [simplify]: iters left: 3 (154 enodes) 187.910 * * [simplify]: iters left: 2 (313 enodes) 188.060 * * [simplify]: Extracting #0: cost 1 inf + 0 188.060 * * [simplify]: Extracting #1: cost 45 inf + 0 188.061 * * [simplify]: Extracting #2: cost 130 inf + 1 188.062 * * [simplify]: Extracting #3: cost 178 inf + 4 188.064 * * [simplify]: Extracting #4: cost 178 inf + 504 188.067 * * [simplify]: Extracting #5: cost 144 inf + 6814 188.077 * * [simplify]: Extracting #6: cost 53 inf + 47792 188.102 * * [simplify]: Extracting #7: cost 1 inf + 82006 188.124 * * [simplify]: Extracting #8: cost 0 inf + 81692 188.142 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 188.142 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 188.143 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 188.143 * * [simplify]: iters left: 6 (13 enodes) 188.147 * * [simplify]: iters left: 5 (53 enodes) 188.156 * * [simplify]: iters left: 4 (89 enodes) 188.171 * * [simplify]: iters left: 3 (148 enodes) 188.210 * * [simplify]: iters left: 2 (312 enodes) 188.381 * * [simplify]: Extracting #0: cost 1 inf + 0 188.381 * * [simplify]: Extracting #1: cost 42 inf + 0 188.382 * * [simplify]: Extracting #2: cost 120 inf + 1 188.383 * * [simplify]: Extracting #3: cost 167 inf + 3 188.385 * * [simplify]: Extracting #4: cost 162 inf + 753 188.387 * * [simplify]: Extracting #5: cost 130 inf + 5799 188.394 * * [simplify]: Extracting #6: cost 64 inf + 33798 188.405 * * [simplify]: Extracting #7: cost 7 inf + 74324 188.416 * * [simplify]: Extracting #8: cost 0 inf + 77090 188.439 * * [simplify]: Extracting #9: cost 0 inf + 76790 188.454 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 188.454 * [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))))) 188.454 * * * * [progress]: [ 161 / 307 ] simplifiying candidate # 188.454 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 188.455 * * [simplify]: iters left: 6 (18 enodes) 188.460 * * [simplify]: iters left: 5 (75 enodes) 188.473 * * [simplify]: iters left: 4 (113 enodes) 188.505 * * [simplify]: iters left: 3 (172 enodes) 188.566 * * [simplify]: iters left: 2 (291 enodes) 188.665 * * [simplify]: iters left: 1 (479 enodes) 188.797 * * [simplify]: Extracting #0: cost 1 inf + 0 188.797 * * [simplify]: Extracting #1: cost 10 inf + 0 188.798 * * [simplify]: Extracting #2: cost 18 inf + 1 188.798 * * [simplify]: Extracting #3: cost 52 inf + 1 188.799 * * [simplify]: Extracting #4: cost 130 inf + 247 188.800 * * [simplify]: Extracting #5: cost 183 inf + 1037 188.805 * * [simplify]: Extracting #6: cost 130 inf + 10290 188.816 * * [simplify]: Extracting #7: cost 56 inf + 29904 188.828 * * [simplify]: Extracting #8: cost 21 inf + 58677 188.843 * * [simplify]: Extracting #9: cost 0 inf + 79908 188.856 * * [simplify]: Extracting #10: cost 0 inf + 79060 188.877 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 188.877 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 188.877 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 188.877 * * [simplify]: iters left: 6 (16 enodes) 188.882 * * [simplify]: iters left: 5 (65 enodes) 188.893 * * [simplify]: iters left: 4 (101 enodes) 188.909 * * [simplify]: iters left: 3 (147 enodes) 188.964 * * [simplify]: iters left: 2 (258 enodes) 189.034 * * [simplify]: iters left: 1 (426 enodes) 189.187 * * [simplify]: Extracting #0: cost 1 inf + 0 189.187 * * [simplify]: Extracting #1: cost 7 inf + 0 189.187 * * [simplify]: Extracting #2: cost 12 inf + 1 189.188 * * [simplify]: Extracting #3: cost 41 inf + 1 189.188 * * [simplify]: Extracting #4: cost 115 inf + 247 189.189 * * [simplify]: Extracting #5: cost 169 inf + 1578 189.193 * * [simplify]: Extracting #6: cost 92 inf + 18780 189.213 * * [simplify]: Extracting #7: cost 12 inf + 61293 189.238 * * [simplify]: Extracting #8: cost 0 inf + 66964 189.264 * * [simplify]: Extracting #9: cost 0 inf + 66249 189.293 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 189.293 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 189.293 * * * * [progress]: [ 162 / 307 ] simplifiying candidate # 189.294 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 189.294 * * [simplify]: iters left: 6 (17 enodes) 189.304 * * [simplify]: iters left: 5 (70 enodes) 189.326 * * [simplify]: iters left: 4 (107 enodes) 189.342 * * [simplify]: iters left: 3 (158 enodes) 189.379 * * [simplify]: iters left: 2 (263 enodes) 189.455 * * [simplify]: iters left: 1 (433 enodes) 189.617 * * [simplify]: Extracting #0: cost 1 inf + 0 189.617 * * [simplify]: Extracting #1: cost 7 inf + 0 189.617 * * [simplify]: Extracting #2: cost 13 inf + 1 189.618 * * [simplify]: Extracting #3: cost 42 inf + 1 189.618 * * [simplify]: Extracting #4: cost 129 inf + 125 189.619 * * [simplify]: Extracting #5: cost 183 inf + 668 189.621 * * [simplify]: Extracting #6: cost 131 inf + 6636 189.626 * * [simplify]: Extracting #7: cost 42 inf + 34877 189.641 * * [simplify]: Extracting #8: cost 0 inf + 67350 189.657 * * [simplify]: Extracting #9: cost 0 inf + 66740 189.668 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 189.668 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 189.668 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 189.668 * * [simplify]: iters left: 6 (16 enodes) 189.673 * * [simplify]: iters left: 5 (65 enodes) 189.686 * * [simplify]: iters left: 4 (102 enodes) 189.719 * * [simplify]: iters left: 3 (148 enodes) 189.748 * * [simplify]: iters left: 2 (260 enodes) 189.815 * * [simplify]: iters left: 1 (422 enodes) 189.976 * * [simplify]: Extracting #0: cost 1 inf + 0 189.976 * * [simplify]: Extracting #1: cost 7 inf + 0 189.976 * * [simplify]: Extracting #2: cost 13 inf + 1 189.977 * * [simplify]: Extracting #3: cost 44 inf + 1 189.977 * * [simplify]: Extracting #4: cost 121 inf + 247 189.978 * * [simplify]: Extracting #5: cost 144 inf + 1698 189.981 * * [simplify]: Extracting #6: cost 84 inf + 14419 189.988 * * [simplify]: Extracting #7: cost 19 inf + 46045 190.002 * * [simplify]: Extracting #8: cost 0 inf + 62683 190.020 * * [simplify]: Extracting #9: cost 0 inf + 62524 190.039 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 190.040 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 190.040 * * * * [progress]: [ 163 / 307 ] simplifiying candidate # 190.040 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) 190.040 * * [simplify]: iters left: 6 (8 enodes) 190.044 * * [simplify]: iters left: 5 (28 enodes) 190.049 * * [simplify]: iters left: 4 (30 enodes) 190.053 * * [simplify]: iters left: 3 (31 enodes) 190.057 * * [simplify]: Extracting #0: cost 1 inf + 0 190.057 * * [simplify]: Extracting #1: cost 4 inf + 0 190.057 * * [simplify]: Extracting #2: cost 5 inf + 1 190.058 * * [simplify]: Extracting #3: cost 7 inf + 1 190.058 * * [simplify]: Extracting #4: cost 3 inf + 165 190.058 * * [simplify]: Extracting #5: cost 0 inf + 490 190.058 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 190.058 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 190.058 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 190.058 * * [simplify]: iters left: 6 (15 enodes) 190.063 * * [simplify]: iters left: 5 (62 enodes) 190.083 * * [simplify]: iters left: 4 (102 enodes) 190.102 * * [simplify]: iters left: 3 (168 enodes) 190.150 * * [simplify]: iters left: 2 (350 enodes) 190.309 * * [simplify]: Extracting #0: cost 1 inf + 0 190.309 * * [simplify]: Extracting #1: cost 54 inf + 0 190.310 * * [simplify]: Extracting #2: cost 147 inf + 1 190.311 * * [simplify]: Extracting #3: cost 196 inf + 3 190.313 * * [simplify]: Extracting #4: cost 173 inf + 4274 190.323 * * [simplify]: Extracting #5: cost 98 inf + 36186 190.350 * * [simplify]: Extracting #6: cost 14 inf + 95563 190.365 * * [simplify]: Extracting #7: cost 0 inf + 100235 190.381 * * [simplify]: Extracting #8: cost 0 inf + 99973 190.396 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 190.396 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 190.396 * * * * [progress]: [ 164 / 307 ] simplifiying candidate # 190.396 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 190.396 * * [simplify]: iters left: 6 (17 enodes) 190.407 * * [simplify]: iters left: 5 (73 enodes) 190.422 * * [simplify]: iters left: 4 (117 enodes) 190.444 * * [simplify]: iters left: 3 (193 enodes) 190.517 * * [simplify]: iters left: 2 (376 enodes) 190.654 * * [simplify]: Extracting #0: cost 1 inf + 0 190.654 * * [simplify]: Extracting #1: cost 40 inf + 0 190.655 * * [simplify]: Extracting #2: cost 125 inf + 1 190.656 * * [simplify]: Extracting #3: cost 183 inf + 3 190.658 * * [simplify]: Extracting #4: cost 170 inf + 5654 190.669 * * [simplify]: Extracting #5: cost 71 inf + 45481 190.682 * * [simplify]: Extracting #6: cost 4 inf + 88275 190.698 * * [simplify]: Extracting #7: cost 0 inf + 90014 190.717 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 190.717 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 190.717 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 190.717 * * [simplify]: iters left: 6 (16 enodes) 190.723 * * [simplify]: iters left: 5 (68 enodes) 190.734 * * [simplify]: iters left: 4 (115 enodes) 190.766 * * [simplify]: iters left: 3 (196 enodes) 190.818 * * [simplify]: iters left: 2 (406 enodes) 190.991 * * [simplify]: Extracting #0: cost 1 inf + 0 190.991 * * [simplify]: Extracting #1: cost 40 inf + 0 190.992 * * [simplify]: Extracting #2: cost 119 inf + 1 190.993 * * [simplify]: Extracting #3: cost 178 inf + 3 190.995 * * [simplify]: Extracting #4: cost 182 inf + 552 190.998 * * [simplify]: Extracting #5: cost 149 inf + 7402 191.011 * * [simplify]: Extracting #6: cost 32 inf + 63640 191.025 * * [simplify]: Extracting #7: cost 1 inf + 84789 191.042 * * [simplify]: Extracting #8: cost 0 inf + 84750 191.062 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 191.063 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 191.063 * * * * [progress]: [ 165 / 307 ] simplifiying candidate # 191.063 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 191.063 * * [simplify]: iters left: 6 (12 enodes) 191.068 * * [simplify]: iters left: 5 (51 enodes) 191.078 * * [simplify]: iters left: 4 (82 enodes) 191.101 * * [simplify]: iters left: 3 (131 enodes) 191.149 * * [simplify]: iters left: 2 (254 enodes) 191.248 * * [simplify]: Extracting #0: cost 1 inf + 0 191.249 * * [simplify]: Extracting #1: cost 22 inf + 0 191.249 * * [simplify]: Extracting #2: cost 88 inf + 3 191.249 * * [simplify]: Extracting #3: cost 132 inf + 6 191.250 * * [simplify]: Extracting #4: cost 129 inf + 302 191.251 * * [simplify]: Extracting #5: cost 84 inf + 5738 191.254 * * [simplify]: Extracting #6: cost 24 inf + 32911 191.260 * * [simplify]: Extracting #7: cost 0 inf + 48273 191.266 * * [simplify]: Extracting #8: cost 0 inf + 47125 191.278 * * [simplify]: Extracting #9: cost 0 inf + 46734 191.293 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 191.293 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 191.294 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 191.294 * * [simplify]: iters left: 6 (12 enodes) 191.303 * * [simplify]: iters left: 5 (50 enodes) 191.319 * * [simplify]: iters left: 4 (86 enodes) 191.338 * * [simplify]: iters left: 3 (149 enodes) 191.380 * * [simplify]: iters left: 2 (314 enodes) 191.496 * * [simplify]: Extracting #0: cost 1 inf + 0 191.496 * * [simplify]: Extracting #1: cost 45 inf + 0 191.497 * * [simplify]: Extracting #2: cost 128 inf + 1 191.498 * * [simplify]: Extracting #3: cost 171 inf + 127 191.500 * * [simplify]: Extracting #4: cost 164 inf + 1293 191.505 * * [simplify]: Extracting #5: cost 105 inf + 20609 191.523 * * [simplify]: Extracting #6: cost 17 inf + 71703 191.547 * * [simplify]: Extracting #7: cost 0 inf + 81242 191.571 * * [simplify]: Extracting #8: cost 0 inf + 79644 191.594 * * [simplify]: Extracting #9: cost 0 inf + 79404 191.620 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 191.620 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 191.621 * * * * [progress]: [ 166 / 307 ] simplifiying candidate # 191.621 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 191.621 * * [simplify]: iters left: 6 (17 enodes) 191.633 * * [simplify]: iters left: 5 (72 enodes) 191.657 * * [simplify]: iters left: 4 (112 enodes) 191.691 * * [simplify]: iters left: 3 (165 enodes) 191.745 * * [simplify]: iters left: 2 (267 enodes) 191.797 * * [simplify]: iters left: 1 (448 enodes) 191.992 * * [simplify]: Extracting #0: cost 1 inf + 0 191.992 * * [simplify]: Extracting #1: cost 6 inf + 0 191.992 * * [simplify]: Extracting #2: cost 9 inf + 1 191.992 * * [simplify]: Extracting #3: cost 35 inf + 1 191.993 * * [simplify]: Extracting #4: cost 112 inf + 2 191.993 * * [simplify]: Extracting #5: cost 181 inf + 176 191.994 * * [simplify]: Extracting #6: cost 171 inf + 1184 191.997 * * [simplify]: Extracting #7: cost 84 inf + 15496 192.006 * * [simplify]: Extracting #8: cost 27 inf + 46672 192.029 * * [simplify]: Extracting #9: cost 0 inf + 65543 192.052 * * [simplify]: Extracting #10: cost 0 inf + 65463 192.075 * [simplify]: Simplified to (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 192.075 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 192.075 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 192.075 * * [simplify]: iters left: 6 (15 enodes) 192.084 * * [simplify]: iters left: 5 (62 enodes) 192.094 * * [simplify]: iters left: 4 (98 enodes) 192.110 * * [simplify]: iters left: 3 (144 enodes) 192.159 * * [simplify]: iters left: 2 (255 enodes) 192.230 * * [simplify]: iters left: 1 (423 enodes) 192.355 * * [simplify]: Extracting #0: cost 1 inf + 0 192.355 * * [simplify]: Extracting #1: cost 7 inf + 0 192.356 * * [simplify]: Extracting #2: cost 12 inf + 1 192.356 * * [simplify]: Extracting #3: cost 34 inf + 84 192.356 * * [simplify]: Extracting #4: cost 106 inf + 167 192.358 * * [simplify]: Extracting #5: cost 150 inf + 880 192.361 * * [simplify]: Extracting #6: cost 102 inf + 6867 192.365 * * [simplify]: Extracting #7: cost 46 inf + 24885 192.376 * * [simplify]: Extracting #8: cost 8 inf + 55285 192.385 * * [simplify]: Extracting #9: cost 0 inf + 62988 192.402 * * [simplify]: Extracting #10: cost 0 inf + 62793 192.418 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)) 192.418 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)))) 192.418 * * * * [progress]: [ 167 / 307 ] simplifiying candidate # 192.419 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 192.419 * * [simplify]: iters left: 6 (16 enodes) 192.424 * * [simplify]: iters left: 5 (67 enodes) 192.436 * * [simplify]: iters left: 4 (99 enodes) 192.450 * * [simplify]: iters left: 3 (140 enodes) 192.476 * * [simplify]: iters left: 2 (238 enodes) 192.546 * * [simplify]: iters left: 1 (417 enodes) 192.714 * * [simplify]: Extracting #0: cost 1 inf + 0 192.714 * * [simplify]: Extracting #1: cost 6 inf + 0 192.715 * * [simplify]: Extracting #2: cost 36 inf + 1 192.715 * * [simplify]: Extracting #3: cost 131 inf + 2 192.716 * * [simplify]: Extracting #4: cost 173 inf + 177 192.717 * * [simplify]: Extracting #5: cost 170 inf + 644 192.719 * * [simplify]: Extracting #6: cost 93 inf + 11475 192.729 * * [simplify]: Extracting #7: cost 46 inf + 30486 192.749 * * [simplify]: Extracting #8: cost 3 inf + 65031 192.773 * * [simplify]: Extracting #9: cost 0 inf + 67752 192.802 * * [simplify]: Extracting #10: cost 0 inf + 67363 192.828 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) 192.828 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 192.828 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 192.829 * * [simplify]: iters left: 6 (15 enodes) 192.838 * * [simplify]: iters left: 5 (62 enodes) 192.848 * * [simplify]: iters left: 4 (99 enodes) 192.864 * * [simplify]: iters left: 3 (148 enodes) 192.905 * * [simplify]: iters left: 2 (265 enodes) 192.961 * * [simplify]: iters left: 1 (440 enodes) 193.126 * * [simplify]: Extracting #0: cost 1 inf + 0 193.126 * * [simplify]: Extracting #1: cost 7 inf + 0 193.127 * * [simplify]: Extracting #2: cost 13 inf + 1 193.127 * * [simplify]: Extracting #3: cost 36 inf + 84 193.127 * * [simplify]: Extracting #4: cost 120 inf + 167 193.128 * * [simplify]: Extracting #5: cost 157 inf + 1130 193.131 * * [simplify]: Extracting #6: cost 85 inf + 13868 193.143 * * [simplify]: Extracting #7: cost 23 inf + 42082 193.162 * * [simplify]: Extracting #8: cost 0 inf + 61932 193.183 * * [simplify]: Extracting #9: cost 0 inf + 60994 193.204 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)) 193.204 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)))) 193.204 * * * * [progress]: [ 168 / 307 ] simplifiying candidate # 193.204 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)) 193.204 * * [simplify]: iters left: 5 (6 enodes) 193.216 * * [simplify]: iters left: 4 (22 enodes) 193.224 * * [simplify]: iters left: 3 (24 enodes) 193.228 * * [simplify]: Extracting #0: cost 1 inf + 0 193.228 * * [simplify]: Extracting #1: cost 0 inf + 1 193.228 * [simplify]: Simplified to 1 193.228 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 193.229 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 193.229 * * [simplify]: iters left: 6 (14 enodes) 193.237 * * [simplify]: iters left: 5 (59 enodes) 193.257 * * [simplify]: iters left: 4 (103 enodes) 193.289 * * [simplify]: iters left: 3 (167 enodes) 193.354 * * [simplify]: iters left: 2 (328 enodes) 193.478 * * [simplify]: Extracting #0: cost 1 inf + 0 193.478 * * [simplify]: Extracting #1: cost 55 inf + 0 193.478 * * [simplify]: Extracting #2: cost 154 inf + 1 193.479 * * [simplify]: Extracting #3: cost 200 inf + 168 193.480 * * [simplify]: Extracting #4: cost 186 inf + 3734 193.483 * * [simplify]: Extracting #5: cost 141 inf + 11840 193.491 * * [simplify]: Extracting #6: cost 45 inf + 71501 193.508 * * [simplify]: Extracting #7: cost 1 inf + 102846 193.526 * * [simplify]: Extracting #8: cost 0 inf + 101634 193.544 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 193.544 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 193.544 * * * * [progress]: [ 169 / 307 ] simplifiying candidate # 193.544 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 193.544 * * [simplify]: iters left: 6 (16 enodes) 193.551 * * [simplify]: iters left: 5 (70 enodes) 193.563 * * [simplify]: iters left: 4 (112 enodes) 193.583 * * [simplify]: iters left: 3 (179 enodes) 193.623 * * [simplify]: iters left: 2 (339 enodes) 193.739 * * [simplify]: Extracting #0: cost 1 inf + 0 193.740 * * [simplify]: Extracting #1: cost 19 inf + 0 193.740 * * [simplify]: Extracting #2: cost 95 inf + 2 193.741 * * [simplify]: Extracting #3: cost 143 inf + 177 193.742 * * [simplify]: Extracting #4: cost 145 inf + 391 193.745 * * [simplify]: Extracting #5: cost 106 inf + 3697 193.752 * * [simplify]: Extracting #6: cost 39 inf + 24182 193.764 * * [simplify]: Extracting #7: cost 7 inf + 44886 193.780 * * [simplify]: Extracting #8: cost 0 inf + 51286 193.797 * [simplify]: Simplified to (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) 193.797 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 193.798 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 193.798 * * [simplify]: iters left: 6 (15 enodes) 193.807 * * [simplify]: iters left: 5 (65 enodes) 193.827 * * [simplify]: iters left: 4 (109 enodes) 193.869 * * [simplify]: iters left: 3 (183 enodes) 193.935 * * [simplify]: iters left: 2 (374 enodes) 194.055 * * [simplify]: Extracting #0: cost 1 inf + 0 194.055 * * [simplify]: Extracting #1: cost 42 inf + 0 194.056 * * [simplify]: Extracting #2: cost 135 inf + 1 194.057 * * [simplify]: Extracting #3: cost 185 inf + 127 194.059 * * [simplify]: Extracting #4: cost 173 inf + 4077 194.069 * * [simplify]: Extracting #5: cost 90 inf + 29613 194.084 * * [simplify]: Extracting #6: cost 5 inf + 88299 194.100 * * [simplify]: Extracting #7: cost 0 inf + 89709 194.130 * * [simplify]: Extracting #8: cost 0 inf + 89628 194.159 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 194.160 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 194.160 * * * * [progress]: [ 170 / 307 ] simplifiying candidate # 194.160 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 194.160 * * [simplify]: iters left: 6 (13 enodes) 194.172 * * [simplify]: iters left: 5 (54 enodes) 194.191 * * [simplify]: iters left: 4 (90 enodes) 194.219 * * [simplify]: iters left: 3 (154 enodes) 194.275 * * [simplify]: iters left: 2 (313 enodes) 194.378 * * [simplify]: Extracting #0: cost 1 inf + 0 194.378 * * [simplify]: Extracting #1: cost 45 inf + 0 194.379 * * [simplify]: Extracting #2: cost 130 inf + 1 194.380 * * [simplify]: Extracting #3: cost 178 inf + 4 194.382 * * [simplify]: Extracting #4: cost 178 inf + 504 194.384 * * [simplify]: Extracting #5: cost 144 inf + 6814 194.394 * * [simplify]: Extracting #6: cost 53 inf + 47792 194.413 * * [simplify]: Extracting #7: cost 1 inf + 82006 194.424 * * [simplify]: Extracting #8: cost 0 inf + 81692 194.435 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 194.435 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 194.435 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 194.435 * * [simplify]: iters left: 6 (13 enodes) 194.440 * * [simplify]: iters left: 5 (53 enodes) 194.453 * * [simplify]: iters left: 4 (89 enodes) 194.479 * * [simplify]: iters left: 3 (148 enodes) 194.514 * * [simplify]: iters left: 2 (312 enodes) 194.649 * * [simplify]: Extracting #0: cost 1 inf + 0 194.650 * * [simplify]: Extracting #1: cost 42 inf + 0 194.650 * * [simplify]: Extracting #2: cost 120 inf + 1 194.651 * * [simplify]: Extracting #3: cost 167 inf + 3 194.653 * * [simplify]: Extracting #4: cost 162 inf + 753 194.655 * * [simplify]: Extracting #5: cost 130 inf + 5799 194.665 * * [simplify]: Extracting #6: cost 64 inf + 33798 194.689 * * [simplify]: Extracting #7: cost 7 inf + 74324 194.710 * * [simplify]: Extracting #8: cost 0 inf + 77090 194.724 * * [simplify]: Extracting #9: cost 0 inf + 76790 194.736 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 194.736 * [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))))) 194.736 * * * * [progress]: [ 171 / 307 ] simplifiying candidate # 194.736 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 194.736 * * [simplify]: iters left: 6 (18 enodes) 194.742 * * [simplify]: iters left: 5 (75 enodes) 194.764 * * [simplify]: iters left: 4 (113 enodes) 194.799 * * [simplify]: iters left: 3 (172 enodes) 194.862 * * [simplify]: iters left: 2 (291 enodes) 194.955 * * [simplify]: iters left: 1 (479 enodes) 195.134 * * [simplify]: Extracting #0: cost 1 inf + 0 195.134 * * [simplify]: Extracting #1: cost 10 inf + 0 195.135 * * [simplify]: Extracting #2: cost 18 inf + 1 195.135 * * [simplify]: Extracting #3: cost 52 inf + 1 195.136 * * [simplify]: Extracting #4: cost 130 inf + 247 195.137 * * [simplify]: Extracting #5: cost 183 inf + 1037 195.141 * * [simplify]: Extracting #6: cost 130 inf + 10290 195.156 * * [simplify]: Extracting #7: cost 56 inf + 29904 195.173 * * [simplify]: Extracting #8: cost 21 inf + 58677 195.189 * * [simplify]: Extracting #9: cost 0 inf + 79908 195.202 * * [simplify]: Extracting #10: cost 0 inf + 79060 195.221 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 195.221 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 195.221 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 195.222 * * [simplify]: iters left: 6 (16 enodes) 195.231 * * [simplify]: iters left: 5 (65 enodes) 195.245 * * [simplify]: iters left: 4 (101 enodes) 195.263 * * [simplify]: iters left: 3 (147 enodes) 195.298 * * [simplify]: iters left: 2 (258 enodes) 195.354 * * [simplify]: iters left: 1 (426 enodes) 195.512 * * [simplify]: Extracting #0: cost 1 inf + 0 195.512 * * [simplify]: Extracting #1: cost 7 inf + 0 195.512 * * [simplify]: Extracting #2: cost 12 inf + 1 195.512 * * [simplify]: Extracting #3: cost 41 inf + 1 195.513 * * [simplify]: Extracting #4: cost 115 inf + 247 195.514 * * [simplify]: Extracting #5: cost 169 inf + 1578 195.517 * * [simplify]: Extracting #6: cost 92 inf + 18780 195.527 * * [simplify]: Extracting #7: cost 12 inf + 61293 195.543 * * [simplify]: Extracting #8: cost 0 inf + 66964 195.567 * * [simplify]: Extracting #9: cost 0 inf + 66249 195.581 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 195.581 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 195.581 * * * * [progress]: [ 172 / 307 ] simplifiying candidate # 195.582 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 195.582 * * [simplify]: iters left: 6 (17 enodes) 195.587 * * [simplify]: iters left: 5 (70 enodes) 195.598 * * [simplify]: iters left: 4 (107 enodes) 195.624 * * [simplify]: iters left: 3 (158 enodes) 195.660 * * [simplify]: iters left: 2 (263 enodes) 195.733 * * [simplify]: iters left: 1 (433 enodes) 195.915 * * [simplify]: Extracting #0: cost 1 inf + 0 195.915 * * [simplify]: Extracting #1: cost 7 inf + 0 195.915 * * [simplify]: Extracting #2: cost 13 inf + 1 195.915 * * [simplify]: Extracting #3: cost 42 inf + 1 195.916 * * [simplify]: Extracting #4: cost 129 inf + 125 195.918 * * [simplify]: Extracting #5: cost 183 inf + 668 195.922 * * [simplify]: Extracting #6: cost 131 inf + 6636 195.932 * * [simplify]: Extracting #7: cost 42 inf + 34877 195.943 * * [simplify]: Extracting #8: cost 0 inf + 67350 195.953 * * [simplify]: Extracting #9: cost 0 inf + 66740 195.967 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 195.967 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 195.967 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 195.968 * * [simplify]: iters left: 6 (16 enodes) 195.976 * * [simplify]: iters left: 5 (65 enodes) 195.987 * * [simplify]: iters left: 4 (102 enodes) 196.003 * * [simplify]: iters left: 3 (148 enodes) 196.055 * * [simplify]: iters left: 2 (260 enodes) 196.120 * * [simplify]: iters left: 1 (422 enodes) 196.260 * * [simplify]: Extracting #0: cost 1 inf + 0 196.261 * * [simplify]: Extracting #1: cost 7 inf + 0 196.261 * * [simplify]: Extracting #2: cost 13 inf + 1 196.261 * * [simplify]: Extracting #3: cost 44 inf + 1 196.262 * * [simplify]: Extracting #4: cost 121 inf + 247 196.263 * * [simplify]: Extracting #5: cost 144 inf + 1698 196.273 * * [simplify]: Extracting #6: cost 84 inf + 14419 196.287 * * [simplify]: Extracting #7: cost 19 inf + 46045 196.307 * * [simplify]: Extracting #8: cost 0 inf + 62683 196.326 * * [simplify]: Extracting #9: cost 0 inf + 62524 196.345 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 196.345 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 196.345 * * * * [progress]: [ 173 / 307 ] simplifiying candidate # 196.345 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) 196.346 * * [simplify]: iters left: 6 (8 enodes) 196.350 * * [simplify]: iters left: 5 (28 enodes) 196.357 * * [simplify]: iters left: 4 (30 enodes) 196.361 * * [simplify]: iters left: 3 (31 enodes) 196.365 * * [simplify]: Extracting #0: cost 1 inf + 0 196.365 * * [simplify]: Extracting #1: cost 4 inf + 0 196.365 * * [simplify]: Extracting #2: cost 5 inf + 1 196.365 * * [simplify]: Extracting #3: cost 7 inf + 1 196.365 * * [simplify]: Extracting #4: cost 3 inf + 165 196.365 * * [simplify]: Extracting #5: cost 0 inf + 490 196.365 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 196.365 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 196.366 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 196.366 * * [simplify]: iters left: 6 (15 enodes) 196.371 * * [simplify]: iters left: 5 (62 enodes) 196.381 * * [simplify]: iters left: 4 (102 enodes) 196.401 * * [simplify]: iters left: 3 (168 enodes) 196.438 * * [simplify]: iters left: 2 (350 enodes) 196.549 * * [simplify]: Extracting #0: cost 1 inf + 0 196.549 * * [simplify]: Extracting #1: cost 54 inf + 0 196.550 * * [simplify]: Extracting #2: cost 147 inf + 1 196.551 * * [simplify]: Extracting #3: cost 196 inf + 3 196.553 * * [simplify]: Extracting #4: cost 173 inf + 4274 196.559 * * [simplify]: Extracting #5: cost 98 inf + 36186 196.572 * * [simplify]: Extracting #6: cost 14 inf + 95563 196.591 * * [simplify]: Extracting #7: cost 0 inf + 100235 196.621 * * [simplify]: Extracting #8: cost 0 inf + 99973 196.651 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 196.651 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 196.651 * * * * [progress]: [ 174 / 307 ] simplifiying candidate # 196.652 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 196.652 * * [simplify]: iters left: 6 (17 enodes) 196.662 * * [simplify]: iters left: 5 (73 enodes) 196.690 * * [simplify]: iters left: 4 (117 enodes) 196.727 * * [simplify]: iters left: 3 (193 enodes) 196.775 * * [simplify]: iters left: 2 (376 enodes) 196.917 * * [simplify]: Extracting #0: cost 1 inf + 0 196.917 * * [simplify]: Extracting #1: cost 40 inf + 0 196.917 * * [simplify]: Extracting #2: cost 125 inf + 1 196.918 * * [simplify]: Extracting #3: cost 183 inf + 3 196.920 * * [simplify]: Extracting #4: cost 170 inf + 5654 196.926 * * [simplify]: Extracting #5: cost 71 inf + 45481 196.950 * * [simplify]: Extracting #6: cost 4 inf + 88275 196.978 * * [simplify]: Extracting #7: cost 0 inf + 90014 197.004 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 197.005 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 197.005 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 197.005 * * [simplify]: iters left: 6 (16 enodes) 197.014 * * [simplify]: iters left: 5 (68 enodes) 197.026 * * [simplify]: iters left: 4 (115 enodes) 197.052 * * [simplify]: iters left: 3 (196 enodes) 197.132 * * [simplify]: iters left: 2 (406 enodes) 197.254 * * [simplify]: Extracting #0: cost 1 inf + 0 197.255 * * [simplify]: Extracting #1: cost 40 inf + 0 197.255 * * [simplify]: Extracting #2: cost 119 inf + 1 197.257 * * [simplify]: Extracting #3: cost 178 inf + 3 197.258 * * [simplify]: Extracting #4: cost 182 inf + 552 197.262 * * [simplify]: Extracting #5: cost 149 inf + 7402 197.278 * * [simplify]: Extracting #6: cost 32 inf + 63640 197.309 * * [simplify]: Extracting #7: cost 1 inf + 84789 197.330 * * [simplify]: Extracting #8: cost 0 inf + 84750 197.343 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 197.343 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 197.343 * * * * [progress]: [ 175 / 307 ] simplifiying candidate # 197.343 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow n (/ (- 1 k) 2)))) 197.343 * * [simplify]: iters left: 6 (11 enodes) 197.347 * * [simplify]: iters left: 5 (48 enodes) 197.360 * * [simplify]: iters left: 4 (75 enodes) 197.385 * * [simplify]: iters left: 3 (125 enodes) 197.424 * * [simplify]: iters left: 2 (260 enodes) 197.484 * * [simplify]: Extracting #0: cost 1 inf + 0 197.484 * * [simplify]: Extracting #1: cost 22 inf + 0 197.484 * * [simplify]: Extracting #2: cost 86 inf + 3 197.485 * * [simplify]: Extracting #3: cost 127 inf + 7 197.485 * * [simplify]: Extracting #4: cost 121 inf + 970 197.487 * * [simplify]: Extracting #5: cost 65 inf + 10317 197.496 * * [simplify]: Extracting #6: cost 18 inf + 31603 197.510 * * [simplify]: Extracting #7: cost 0 inf + 44815 197.516 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 197.516 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 197.516 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 197.516 * * [simplify]: iters left: 6 (12 enodes) 197.521 * * [simplify]: iters left: 5 (50 enodes) 197.530 * * [simplify]: iters left: 4 (86 enodes) 197.552 * * [simplify]: iters left: 3 (149 enodes) 197.591 * * [simplify]: iters left: 2 (314 enodes) 197.708 * * [simplify]: Extracting #0: cost 1 inf + 0 197.709 * * [simplify]: Extracting #1: cost 45 inf + 0 197.709 * * [simplify]: Extracting #2: cost 128 inf + 1 197.710 * * [simplify]: Extracting #3: cost 171 inf + 127 197.710 * * [simplify]: Extracting #4: cost 164 inf + 1293 197.713 * * [simplify]: Extracting #5: cost 105 inf + 20609 197.722 * * [simplify]: Extracting #6: cost 17 inf + 71703 197.734 * * [simplify]: Extracting #7: cost 0 inf + 81242 197.753 * * [simplify]: Extracting #8: cost 0 inf + 79644 197.780 * * [simplify]: Extracting #9: cost 0 inf + 79404 197.804 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 197.804 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 197.805 * * * * [progress]: [ 176 / 307 ] simplifiying candidate # 197.805 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 197.805 * * [simplify]: iters left: 6 (16 enodes) 197.815 * * [simplify]: iters left: 5 (69 enodes) 197.839 * * [simplify]: iters left: 4 (102 enodes) 197.870 * * [simplify]: iters left: 3 (147 enodes) 197.899 * * [simplify]: iters left: 2 (246 enodes) 197.945 * * [simplify]: iters left: 1 (417 enodes) 198.147 * * [simplify]: Extracting #0: cost 1 inf + 0 198.147 * * [simplify]: Extracting #1: cost 6 inf + 0 198.147 * * [simplify]: Extracting #2: cost 9 inf + 1 198.147 * * [simplify]: Extracting #3: cost 37 inf + 1 198.147 * * [simplify]: Extracting #4: cost 113 inf + 2 198.148 * * [simplify]: Extracting #5: cost 166 inf + 176 198.150 * * [simplify]: Extracting #6: cost 125 inf + 6024 198.154 * * [simplify]: Extracting #7: cost 54 inf + 26106 198.164 * * [simplify]: Extracting #8: cost 5 inf + 63775 198.175 * * [simplify]: Extracting #9: cost 0 inf + 68143 198.192 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) 198.192 * [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))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 198.192 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 198.193 * * [simplify]: iters left: 6 (15 enodes) 198.202 * * [simplify]: iters left: 5 (62 enodes) 198.221 * * [simplify]: iters left: 4 (98 enodes) 198.254 * * [simplify]: iters left: 3 (144 enodes) 198.299 * * [simplify]: iters left: 2 (255 enodes) 198.361 * * [simplify]: iters left: 1 (423 enodes) 198.524 * * [simplify]: Extracting #0: cost 1 inf + 0 198.524 * * [simplify]: Extracting #1: cost 7 inf + 0 198.524 * * [simplify]: Extracting #2: cost 12 inf + 1 198.524 * * [simplify]: Extracting #3: cost 34 inf + 84 198.524 * * [simplify]: Extracting #4: cost 106 inf + 167 198.525 * * [simplify]: Extracting #5: cost 150 inf + 880 198.527 * * [simplify]: Extracting #6: cost 102 inf + 6867 198.531 * * [simplify]: Extracting #7: cost 46 inf + 24885 198.539 * * [simplify]: Extracting #8: cost 8 inf + 55285 198.559 * * [simplify]: Extracting #9: cost 0 inf + 62988 198.578 * * [simplify]: Extracting #10: cost 0 inf + 62793 198.588 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)) 198.588 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)))) 198.588 * * * * [progress]: [ 177 / 307 ] simplifiying candidate # 198.588 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 198.588 * * [simplify]: iters left: 6 (15 enodes) 198.593 * * [simplify]: iters left: 5 (64 enodes) 198.605 * * [simplify]: iters left: 4 (96 enodes) 198.630 * * [simplify]: iters left: 3 (140 enodes) 198.667 * * [simplify]: iters left: 2 (243 enodes) 198.717 * * [simplify]: iters left: 1 (420 enodes) 198.858 * * [simplify]: Extracting #0: cost 1 inf + 0 198.858 * * [simplify]: Extracting #1: cost 6 inf + 0 198.858 * * [simplify]: Extracting #2: cost 34 inf + 1 198.858 * * [simplify]: Extracting #3: cost 119 inf + 2 198.859 * * [simplify]: Extracting #4: cost 168 inf + 178 198.860 * * [simplify]: Extracting #5: cost 171 inf + 393 198.861 * * [simplify]: Extracting #6: cost 128 inf + 5933 198.868 * * [simplify]: Extracting #7: cost 49 inf + 23357 198.885 * * [simplify]: Extracting #8: cost 9 inf + 53588 198.905 * * [simplify]: Extracting #9: cost 0 inf + 62330 198.924 * * [simplify]: Extracting #10: cost 0 inf + 60558 198.935 * * [simplify]: Extracting #11: cost 0 inf + 59411 198.945 * [simplify]: Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) 198.945 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 198.946 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 198.946 * * [simplify]: iters left: 6 (15 enodes) 198.951 * * [simplify]: iters left: 5 (62 enodes) 198.973 * * [simplify]: iters left: 4 (99 enodes) 199.003 * * [simplify]: iters left: 3 (148 enodes) 199.033 * * [simplify]: iters left: 2 (265 enodes) 199.119 * * [simplify]: iters left: 1 (440 enodes) 199.267 * * [simplify]: Extracting #0: cost 1 inf + 0 199.267 * * [simplify]: Extracting #1: cost 7 inf + 0 199.267 * * [simplify]: Extracting #2: cost 13 inf + 1 199.268 * * [simplify]: Extracting #3: cost 36 inf + 84 199.268 * * [simplify]: Extracting #4: cost 120 inf + 167 199.270 * * [simplify]: Extracting #5: cost 157 inf + 1130 199.275 * * [simplify]: Extracting #6: cost 85 inf + 13868 199.289 * * [simplify]: Extracting #7: cost 23 inf + 42082 199.302 * * [simplify]: Extracting #8: cost 0 inf + 61932 199.312 * * [simplify]: Extracting #9: cost 0 inf + 60994 199.323 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)) 199.323 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)))) 199.323 * * * * [progress]: [ 178 / 307 ] simplifiying candidate # 199.323 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) 199.323 * * [simplify]: iters left: 5 (5 enodes) 199.328 * * [simplify]: iters left: 4 (17 enodes) 199.330 * * [simplify]: iters left: 3 (19 enodes) 199.333 * * [simplify]: Extracting #0: cost 1 inf + 0 199.333 * * [simplify]: Extracting #1: cost 0 inf + 1 199.333 * [simplify]: Simplified to 1 199.333 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 199.334 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 199.334 * * [simplify]: iters left: 6 (14 enodes) 199.342 * * [simplify]: iters left: 5 (59 enodes) 199.355 * * [simplify]: iters left: 4 (103 enodes) 199.373 * * [simplify]: iters left: 3 (167 enodes) 199.406 * * [simplify]: iters left: 2 (328 enodes) 199.518 * * [simplify]: Extracting #0: cost 1 inf + 0 199.518 * * [simplify]: Extracting #1: cost 55 inf + 0 199.519 * * [simplify]: Extracting #2: cost 154 inf + 1 199.520 * * [simplify]: Extracting #3: cost 200 inf + 168 199.521 * * [simplify]: Extracting #4: cost 186 inf + 3734 199.523 * * [simplify]: Extracting #5: cost 141 inf + 11840 199.531 * * [simplify]: Extracting #6: cost 45 inf + 71501 199.552 * * [simplify]: Extracting #7: cost 1 inf + 102846 199.578 * * [simplify]: Extracting #8: cost 0 inf + 101634 199.592 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 199.592 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 199.592 * * * * [progress]: [ 179 / 307 ] simplifiying candidate # 199.592 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 199.593 * * [simplify]: iters left: 6 (15 enodes) 199.598 * * [simplify]: iters left: 5 (67 enodes) 199.616 * * [simplify]: iters left: 4 (104 enodes) 199.648 * * [simplify]: iters left: 3 (163 enodes) 199.705 * * [simplify]: iters left: 2 (306 enodes) 199.808 * * [simplify]: Extracting #0: cost 1 inf + 0 199.808 * * [simplify]: Extracting #1: cost 26 inf + 0 199.809 * * [simplify]: Extracting #2: cost 104 inf + 2 199.809 * * [simplify]: Extracting #3: cost 152 inf + 176 199.810 * * [simplify]: Extracting #4: cost 148 inf + 475 199.811 * * [simplify]: Extracting #5: cost 94 inf + 7516 199.815 * * [simplify]: Extracting #6: cost 48 inf + 23404 199.822 * * [simplify]: Extracting #7: cost 6 inf + 54907 199.833 * * [simplify]: Extracting #8: cost 0 inf + 58717 199.849 * * [simplify]: Extracting #9: cost 0 inf + 57536 199.866 * * [simplify]: Extracting #10: cost 0 inf + 57142 199.883 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ (- 1 k) 4)) 199.883 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* n 2) PI) (/ (- 1 k) 4)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 199.884 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 199.884 * * [simplify]: iters left: 6 (15 enodes) 199.893 * * [simplify]: iters left: 5 (65 enodes) 199.914 * * [simplify]: iters left: 4 (109 enodes) 199.948 * * [simplify]: iters left: 3 (183 enodes) 199.997 * * [simplify]: iters left: 2 (374 enodes) 200.144 * * [simplify]: Extracting #0: cost 1 inf + 0 200.144 * * [simplify]: Extracting #1: cost 42 inf + 0 200.145 * * [simplify]: Extracting #2: cost 135 inf + 1 200.145 * * [simplify]: Extracting #3: cost 185 inf + 127 200.147 * * [simplify]: Extracting #4: cost 173 inf + 4077 200.152 * * [simplify]: Extracting #5: cost 90 inf + 29613 200.178 * * [simplify]: Extracting #6: cost 5 inf + 88299 200.208 * * [simplify]: Extracting #7: cost 0 inf + 89709 200.237 * * [simplify]: Extracting #8: cost 0 inf + 89628 200.266 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 200.266 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 200.267 * * * * [progress]: [ 180 / 307 ] simplifiying candidate # 200.267 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 200.267 * * [simplify]: iters left: 5 (4 enodes) 200.275 * * [simplify]: iters left: 4 (14 enodes) 200.277 * * [simplify]: iters left: 3 (16 enodes) 200.278 * * [simplify]: Extracting #0: cost 1 inf + 0 200.278 * * [simplify]: Extracting #1: cost 0 inf + 1 200.278 * [simplify]: Simplified to 1 200.278 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 200.279 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 200.279 * * [simplify]: iters left: 6 (14 enodes) 200.283 * * [simplify]: iters left: 5 (59 enodes) 200.293 * * [simplify]: iters left: 4 (103 enodes) 200.318 * * [simplify]: iters left: 3 (167 enodes) 200.382 * * [simplify]: iters left: 2 (328 enodes) 200.488 * * [simplify]: Extracting #0: cost 1 inf + 0 200.488 * * [simplify]: Extracting #1: cost 55 inf + 0 200.489 * * [simplify]: Extracting #2: cost 154 inf + 1 200.490 * * [simplify]: Extracting #3: cost 200 inf + 168 200.493 * * [simplify]: Extracting #4: cost 186 inf + 3734 200.498 * * [simplify]: Extracting #5: cost 141 inf + 11840 200.515 * * [simplify]: Extracting #6: cost 45 inf + 71501 200.543 * * [simplify]: Extracting #7: cost 1 inf + 102846 200.571 * * [simplify]: Extracting #8: cost 0 inf + 101634 200.600 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 200.600 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 200.600 * * * * [progress]: [ 181 / 307 ] simplifiying candidate # 200.600 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) 200.600 * * [simplify]: iters left: 5 (6 enodes) 200.604 * * [simplify]: iters left: 4 (22 enodes) 200.610 * * [simplify]: iters left: 3 (24 enodes) 200.613 * * [simplify]: iters left: 2 (25 enodes) 200.616 * * [simplify]: iters left: 1 (26 enodes) 200.622 * * [simplify]: Extracting #0: cost 1 inf + 0 200.622 * * [simplify]: Extracting #1: cost 4 inf + 0 200.622 * * [simplify]: Extracting #2: cost 5 inf + 1 200.622 * * [simplify]: Extracting #3: cost 2 inf + 125 200.622 * * [simplify]: Extracting #4: cost 0 inf + 248 200.622 * [simplify]: Simplified to (/ 1 (sqrt k)) 200.622 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 200.622 * [simplify]: Simplifying (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 200.622 * * [simplify]: iters left: 6 (13 enodes) 200.626 * * [simplify]: iters left: 5 (56 enodes) 200.637 * * [simplify]: iters left: 4 (91 enodes) 200.659 * * [simplify]: iters left: 3 (141 enodes) 200.684 * * [simplify]: iters left: 2 (247 enodes) 200.760 * * [simplify]: Extracting #0: cost 1 inf + 0 200.760 * * [simplify]: Extracting #1: cost 29 inf + 0 200.760 * * [simplify]: Extracting #2: cost 99 inf + 2 200.761 * * [simplify]: Extracting #3: cost 136 inf + 174 200.762 * * [simplify]: Extracting #4: cost 129 inf + 680 200.763 * * [simplify]: Extracting #5: cost 86 inf + 6222 200.766 * * [simplify]: Extracting #6: cost 61 inf + 12328 200.770 * * [simplify]: Extracting #7: cost 11 inf + 44187 200.778 * * [simplify]: Extracting #8: cost 0 inf + 52402 200.786 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 200.786 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 200.786 * * * * [progress]: [ 182 / 307 ] simplifiying candidate # 200.786 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 200.786 * * [simplify]: iters left: 6 (14 enodes) 200.791 * * [simplify]: iters left: 5 (57 enodes) 200.809 * * [simplify]: iters left: 4 (96 enodes) 200.842 * * [simplify]: iters left: 3 (168 enodes) 200.902 * * [simplify]: iters left: 2 (305 enodes) 200.992 * * [simplify]: Extracting #0: cost 1 inf + 0 200.992 * * [simplify]: Extracting #1: cost 41 inf + 0 200.993 * * [simplify]: Extracting #2: cost 112 inf + 1 200.993 * * [simplify]: Extracting #3: cost 117 inf + 132 200.994 * * [simplify]: Extracting #4: cost 111 inf + 385 200.996 * * [simplify]: Extracting #5: cost 62 inf + 20117 201.005 * * [simplify]: Extracting #6: cost 2 inf + 59266 201.012 * * [simplify]: Extracting #7: cost 0 inf + 60770 201.019 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k)) 201.019 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2))))) 201.020 * [simplify]: Simplifying (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2))) 201.020 * * [simplify]: iters left: 6 (11 enodes) 201.023 * * [simplify]: iters left: 5 (42 enodes) 201.030 * * [simplify]: iters left: 4 (66 enodes) 201.040 * * [simplify]: iters left: 3 (101 enodes) 201.058 * * [simplify]: iters left: 2 (171 enodes) 201.121 * * [simplify]: iters left: 1 (319 enodes) 201.222 * * [simplify]: Extracting #0: cost 1 inf + 0 201.222 * * [simplify]: Extracting #1: cost 6 inf + 0 201.222 * * [simplify]: Extracting #2: cost 40 inf + 1 201.222 * * [simplify]: Extracting #3: cost 129 inf + 2 201.223 * * [simplify]: Extracting #4: cost 155 inf + 596 201.225 * * [simplify]: Extracting #5: cost 88 inf + 13042 201.232 * * [simplify]: Extracting #6: cost 20 inf + 52461 201.242 * * [simplify]: Extracting #7: cost 0 inf + 69011 201.256 * * [simplify]: Extracting #8: cost 0 inf + 68931 201.275 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 201.276 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 201.276 * * * * [progress]: [ 183 / 307 ] simplifiying candidate # 201.276 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 201.276 * * [simplify]: iters left: 6 (16 enodes) 201.286 * * [simplify]: iters left: 5 (65 enodes) 201.306 * * [simplify]: iters left: 4 (101 enodes) 201.336 * * [simplify]: iters left: 3 (147 enodes) 201.386 * * [simplify]: iters left: 2 (249 enodes) 201.443 * * [simplify]: iters left: 1 (431 enodes) 201.576 * * [simplify]: Extracting #0: cost 1 inf + 0 201.576 * * [simplify]: Extracting #1: cost 7 inf + 0 201.577 * * [simplify]: Extracting #2: cost 11 inf + 1 201.577 * * [simplify]: Extracting #3: cost 16 inf + 1 201.577 * * [simplify]: Extracting #4: cost 52 inf + 1 201.577 * * [simplify]: Extracting #5: cost 142 inf + 85 201.578 * * [simplify]: Extracting #6: cost 193 inf + 1257 201.582 * * [simplify]: Extracting #7: cost 105 inf + 25694 201.591 * * [simplify]: Extracting #8: cost 30 inf + 56501 201.606 * * [simplify]: Extracting #9: cost 0 inf + 82226 201.629 * * [simplify]: Extracting #10: cost 0 inf + 82067 201.653 * [simplify]: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 201.654 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 201.654 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 201.654 * * [simplify]: iters left: 6 (15 enodes) 201.666 * * [simplify]: iters left: 5 (60 enodes) 201.685 * * [simplify]: iters left: 4 (91 enodes) 201.713 * * [simplify]: iters left: 3 (135 enodes) 201.759 * * [simplify]: iters left: 2 (237 enodes) 201.820 * * [simplify]: iters left: 1 (420 enodes) 202.003 * * [simplify]: Extracting #0: cost 1 inf + 0 202.004 * * [simplify]: Extracting #1: cost 4 inf + 0 202.004 * * [simplify]: Extracting #2: cost 5 inf + 1 202.004 * * [simplify]: Extracting #3: cost 10 inf + 1 202.004 * * [simplify]: Extracting #4: cost 43 inf + 1 202.004 * * [simplify]: Extracting #5: cost 130 inf + 85 202.005 * * [simplify]: Extracting #6: cost 175 inf + 1705 202.008 * * [simplify]: Extracting #7: cost 108 inf + 15159 202.016 * * [simplify]: Extracting #8: cost 21 inf + 63616 202.036 * * [simplify]: Extracting #9: cost 0 inf + 75711 202.059 * * [simplify]: Extracting #10: cost 0 inf + 75351 202.073 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 202.073 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 202.073 * * * * [progress]: [ 184 / 307 ] simplifiying candidate # 202.074 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 202.074 * * [simplify]: iters left: 6 (15 enodes) 202.078 * * [simplify]: iters left: 5 (60 enodes) 202.088 * * [simplify]: iters left: 4 (91 enodes) 202.111 * * [simplify]: iters left: 3 (135 enodes) 202.157 * * [simplify]: iters left: 2 (237 enodes) 202.237 * * [simplify]: iters left: 1 (420 enodes) 202.403 * * [simplify]: Extracting #0: cost 1 inf + 0 202.403 * * [simplify]: Extracting #1: cost 4 inf + 0 202.403 * * [simplify]: Extracting #2: cost 5 inf + 1 202.403 * * [simplify]: Extracting #3: cost 10 inf + 1 202.403 * * [simplify]: Extracting #4: cost 43 inf + 1 202.404 * * [simplify]: Extracting #5: cost 130 inf + 85 202.406 * * [simplify]: Extracting #6: cost 175 inf + 1705 202.412 * * [simplify]: Extracting #7: cost 108 inf + 15039 202.428 * * [simplify]: Extracting #8: cost 21 inf + 63456 202.455 * * [simplify]: Extracting #9: cost 0 inf + 75551 202.470 * * [simplify]: Extracting #10: cost 0 inf + 75191 202.482 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 202.482 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 202.482 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 202.482 * * [simplify]: iters left: 6 (15 enodes) 202.487 * * [simplify]: iters left: 5 (60 enodes) 202.498 * * [simplify]: iters left: 4 (91 enodes) 202.517 * * [simplify]: iters left: 3 (135 enodes) 202.544 * * [simplify]: iters left: 2 (237 enodes) 202.617 * * [simplify]: iters left: 1 (420 enodes) 202.785 * * [simplify]: Extracting #0: cost 1 inf + 0 202.785 * * [simplify]: Extracting #1: cost 4 inf + 0 202.786 * * [simplify]: Extracting #2: cost 5 inf + 1 202.786 * * [simplify]: Extracting #3: cost 10 inf + 1 202.786 * * [simplify]: Extracting #4: cost 43 inf + 1 202.787 * * [simplify]: Extracting #5: cost 130 inf + 85 202.788 * * [simplify]: Extracting #6: cost 175 inf + 1705 202.790 * * [simplify]: Extracting #7: cost 108 inf + 15039 202.798 * * [simplify]: Extracting #8: cost 21 inf + 63456 202.813 * * [simplify]: Extracting #9: cost 0 inf + 75551 202.830 * * [simplify]: Extracting #10: cost 0 inf + 75191 202.845 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 202.845 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 202.845 * * * * [progress]: [ 185 / 307 ] simplifiying candidate # 202.845 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 202.846 * * [simplify]: iters left: 6 (13 enodes) 202.852 * * [simplify]: iters left: 5 (54 enodes) 202.870 * * [simplify]: iters left: 4 (101 enodes) 202.898 * * [simplify]: iters left: 3 (201 enodes) 202.978 * * [simplify]: Extracting #0: cost 1 inf + 0 202.979 * * [simplify]: Extracting #1: cost 40 inf + 0 202.979 * * [simplify]: Extracting #2: cost 114 inf + 1 202.980 * * [simplify]: Extracting #3: cost 144 inf + 3 202.981 * * [simplify]: Extracting #4: cost 135 inf + 1029 202.986 * * [simplify]: Extracting #5: cost 77 inf + 16041 202.995 * * [simplify]: Extracting #6: cost 7 inf + 49115 203.002 * * [simplify]: Extracting #7: cost 0 inf + 52544 203.010 * * [simplify]: Extracting #8: cost 0 inf + 52463 203.018 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 203.018 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 203.018 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 203.018 * * [simplify]: iters left: 6 (13 enodes) 203.022 * * [simplify]: iters left: 5 (53 enodes) 203.039 * * [simplify]: iters left: 4 (89 enodes) 203.059 * * [simplify]: iters left: 3 (148 enodes) 203.089 * * [simplify]: iters left: 2 (312 enodes) 203.226 * * [simplify]: Extracting #0: cost 1 inf + 0 203.226 * * [simplify]: Extracting #1: cost 42 inf + 0 203.227 * * [simplify]: Extracting #2: cost 120 inf + 1 203.228 * * [simplify]: Extracting #3: cost 167 inf + 3 203.230 * * [simplify]: Extracting #4: cost 162 inf + 873 203.236 * * [simplify]: Extracting #5: cost 130 inf + 6079 203.245 * * [simplify]: Extracting #6: cost 64 inf + 34958 203.265 * * [simplify]: Extracting #7: cost 7 inf + 77044 203.277 * * [simplify]: Extracting #8: cost 0 inf + 80090 203.288 * * [simplify]: Extracting #9: cost 0 inf + 79790 203.303 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 203.303 * [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))))) 203.304 * * * * [progress]: [ 186 / 307 ] simplifiying candidate # 203.304 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 203.304 * * [simplify]: iters left: 6 (18 enodes) 203.315 * * [simplify]: iters left: 5 (77 enodes) 203.339 * * [simplify]: iters left: 4 (138 enodes) 203.367 * * [simplify]: iters left: 3 (228 enodes) 203.441 * * [simplify]: iters left: 2 (406 enodes) 203.585 * * [simplify]: Extracting #0: cost 1 inf + 0 203.585 * * [simplify]: Extracting #1: cost 17 inf + 0 203.586 * * [simplify]: Extracting #2: cost 31 inf + 1 203.586 * * [simplify]: Extracting #3: cost 46 inf + 1 203.586 * * [simplify]: Extracting #4: cost 84 inf + 1053 203.587 * * [simplify]: Extracting #5: cost 108 inf + 1960 203.591 * * [simplify]: Extracting #6: cost 60 inf + 15114 203.601 * * [simplify]: Extracting #7: cost 11 inf + 32762 203.613 * * [simplify]: Extracting #8: cost 1 inf + 38901 203.626 * * [simplify]: Extracting #9: cost 0 inf + 39176 203.639 * * [simplify]: Extracting #10: cost 0 inf + 39046 203.651 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 203.652 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 203.652 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 203.652 * * [simplify]: iters left: 6 (16 enodes) 203.657 * * [simplify]: iters left: 5 (65 enodes) 203.669 * * [simplify]: iters left: 4 (101 enodes) 203.685 * * [simplify]: iters left: 3 (147 enodes) 203.735 * * [simplify]: iters left: 2 (258 enodes) 203.825 * * [simplify]: iters left: 1 (426 enodes) 203.982 * * [simplify]: Extracting #0: cost 1 inf + 0 203.982 * * [simplify]: Extracting #1: cost 7 inf + 0 203.982 * * [simplify]: Extracting #2: cost 12 inf + 1 203.982 * * [simplify]: Extracting #3: cost 41 inf + 1 203.983 * * [simplify]: Extracting #4: cost 115 inf + 327 203.985 * * [simplify]: Extracting #5: cost 169 inf + 1738 203.996 * * [simplify]: Extracting #6: cost 92 inf + 19020 204.010 * * [simplify]: Extracting #7: cost 12 inf + 61613 204.022 * * [simplify]: Extracting #8: cost 0 inf + 67284 204.039 * * [simplify]: Extracting #9: cost 0 inf + 66569 204.063 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 204.063 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 204.063 * * * * [progress]: [ 187 / 307 ] simplifiying candidate # 204.064 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 204.064 * * [simplify]: iters left: 6 (17 enodes) 204.069 * * [simplify]: iters left: 5 (70 enodes) 204.081 * * [simplify]: iters left: 4 (115 enodes) 204.104 * * [simplify]: iters left: 3 (183 enodes) 204.147 * * [simplify]: iters left: 2 (326 enodes) 204.221 * * [simplify]: Extracting #0: cost 1 inf + 0 204.222 * * [simplify]: Extracting #1: cost 14 inf + 0 204.222 * * [simplify]: Extracting #2: cost 24 inf + 1 204.222 * * [simplify]: Extracting #3: cost 43 inf + 1 204.223 * * [simplify]: Extracting #4: cost 98 inf + 3 204.224 * * [simplify]: Extracting #5: cost 104 inf + 1653 204.228 * * [simplify]: Extracting #6: cost 47 inf + 12923 204.236 * * [simplify]: Extracting #7: cost 8 inf + 28175 204.247 * * [simplify]: Extracting #8: cost 0 inf + 33999 204.258 * * [simplify]: Extracting #9: cost 0 inf + 33545 204.268 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 204.268 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 204.269 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 204.269 * * [simplify]: iters left: 6 (16 enodes) 204.278 * * [simplify]: iters left: 5 (65 enodes) 204.303 * * [simplify]: iters left: 4 (102 enodes) 204.333 * * [simplify]: iters left: 3 (148 enodes) 204.385 * * [simplify]: iters left: 2 (260 enodes) 204.474 * * [simplify]: iters left: 1 (422 enodes) 204.596 * * [simplify]: Extracting #0: cost 1 inf + 0 204.596 * * [simplify]: Extracting #1: cost 7 inf + 0 204.596 * * [simplify]: Extracting #2: cost 13 inf + 1 204.596 * * [simplify]: Extracting #3: cost 44 inf + 1 204.597 * * [simplify]: Extracting #4: cost 121 inf + 327 204.598 * * [simplify]: Extracting #5: cost 144 inf + 1858 204.600 * * [simplify]: Extracting #6: cost 84 inf + 14699 204.608 * * [simplify]: Extracting #7: cost 19 inf + 46365 204.625 * * [simplify]: Extracting #8: cost 0 inf + 63003 204.645 * * [simplify]: Extracting #9: cost 0 inf + 62844 204.664 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 204.664 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 204.664 * * * * [progress]: [ 188 / 307 ] simplifiying candidate # 204.664 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 204.664 * * [simplify]: iters left: 6 (8 enodes) 204.669 * * [simplify]: iters left: 5 (28 enodes) 204.679 * * [simplify]: iters left: 4 (52 enodes) 204.687 * * [simplify]: iters left: 3 (73 enodes) 204.698 * * [simplify]: iters left: 2 (82 enodes) 204.705 * * [simplify]: Extracting #0: cost 1 inf + 0 204.705 * * [simplify]: Extracting #1: cost 6 inf + 0 204.705 * * [simplify]: Extracting #2: cost 9 inf + 1 204.705 * * [simplify]: Extracting #3: cost 11 inf + 1 204.706 * * [simplify]: Extracting #4: cost 1 inf + 1214 204.706 * * [simplify]: Extracting #5: cost 0 inf + 1376 204.706 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 204.706 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 204.706 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 204.706 * * [simplify]: iters left: 6 (15 enodes) 204.711 * * [simplify]: iters left: 5 (62 enodes) 204.722 * * [simplify]: iters left: 4 (102 enodes) 204.755 * * [simplify]: iters left: 3 (168 enodes) 204.813 * * [simplify]: iters left: 2 (350 enodes) 204.949 * * [simplify]: Extracting #0: cost 1 inf + 0 204.949 * * [simplify]: Extracting #1: cost 54 inf + 0 204.950 * * [simplify]: Extracting #2: cost 147 inf + 1 204.951 * * [simplify]: Extracting #3: cost 196 inf + 3 204.952 * * [simplify]: Extracting #4: cost 173 inf + 4434 204.958 * * [simplify]: Extracting #5: cost 98 inf + 37266 204.975 * * [simplify]: Extracting #6: cost 14 inf + 98483 204.990 * * [simplify]: Extracting #7: cost 0 inf + 103635 205.007 * * [simplify]: Extracting #8: cost 0 inf + 103373 205.034 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 205.034 * [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))))) 205.034 * * * * [progress]: [ 189 / 307 ] simplifiying candidate # 205.034 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 205.034 * * [simplify]: iters left: 6 (17 enodes) 205.042 * * [simplify]: iters left: 5 (73 enodes) 205.055 * * [simplify]: iters left: 4 (128 enodes) 205.089 * * [simplify]: iters left: 3 (244 enodes) 205.162 * * [simplify]: Extracting #0: cost 1 inf + 0 205.163 * * [simplify]: Extracting #1: cost 40 inf + 0 205.163 * * [simplify]: Extracting #2: cost 114 inf + 1 205.163 * * [simplify]: Extracting #3: cost 154 inf + 2 205.164 * * [simplify]: Extracting #4: cost 151 inf + 904 205.165 * * [simplify]: Extracting #5: cost 120 inf + 4819 205.169 * * [simplify]: Extracting #6: cost 54 inf + 30860 205.178 * * [simplify]: Extracting #7: cost 1 inf + 64211 205.188 * * [simplify]: Extracting #8: cost 0 inf + 64627 205.206 * [simplify]: Simplified to (/ (pow (* PI (* 2 n)) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 205.206 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* PI (* 2 n)) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 205.206 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 205.207 * * [simplify]: iters left: 6 (16 enodes) 205.217 * * [simplify]: iters left: 5 (68 enodes) 205.236 * * [simplify]: iters left: 4 (115 enodes) 205.255 * * [simplify]: iters left: 3 (196 enodes) 205.312 * * [simplify]: iters left: 2 (406 enodes) 205.459 * * [simplify]: Extracting #0: cost 1 inf + 0 205.459 * * [simplify]: Extracting #1: cost 40 inf + 0 205.460 * * [simplify]: Extracting #2: cost 119 inf + 1 205.461 * * [simplify]: Extracting #3: cost 178 inf + 3 205.463 * * [simplify]: Extracting #4: cost 182 inf + 592 205.466 * * [simplify]: Extracting #5: cost 149 inf + 7642 205.481 * * [simplify]: Extracting #6: cost 32 inf + 65720 205.496 * * [simplify]: Extracting #7: cost 1 inf + 87669 205.516 * * [simplify]: Extracting #8: cost 0 inf + 87670 205.542 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 205.542 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 205.543 * * * * [progress]: [ 190 / 307 ] simplifiying candidate # 205.543 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 205.543 * * [simplify]: iters left: 6 (13 enodes) 205.551 * * [simplify]: iters left: 5 (53 enodes) 205.568 * * [simplify]: iters left: 4 (89 enodes) 205.597 * * [simplify]: iters left: 3 (148 enodes) 205.634 * * [simplify]: iters left: 2 (312 enodes) 205.750 * * [simplify]: Extracting #0: cost 1 inf + 0 205.750 * * [simplify]: Extracting #1: cost 48 inf + 0 205.751 * * [simplify]: Extracting #2: cost 127 inf + 1 205.752 * * [simplify]: Extracting #3: cost 173 inf + 4 205.753 * * [simplify]: Extracting #4: cost 172 inf + 785 205.757 * * [simplify]: Extracting #5: cost 124 inf + 9724 205.767 * * [simplify]: Extracting #6: cost 50 inf + 45434 205.788 * * [simplify]: Extracting #7: cost 8 inf + 75750 205.809 * * [simplify]: Extracting #8: cost 0 inf + 78170 205.830 * * [simplify]: Extracting #9: cost 0 inf + 77869 205.841 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 205.841 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 205.842 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 205.842 * * [simplify]: iters left: 6 (13 enodes) 205.846 * * [simplify]: iters left: 5 (53 enodes) 205.855 * * [simplify]: iters left: 4 (89 enodes) 205.884 * * [simplify]: iters left: 3 (148 enodes) 205.946 * * [simplify]: iters left: 2 (312 enodes) 206.053 * * [simplify]: Extracting #0: cost 1 inf + 0 206.053 * * [simplify]: Extracting #1: cost 42 inf + 0 206.054 * * [simplify]: Extracting #2: cost 120 inf + 1 206.055 * * [simplify]: Extracting #3: cost 167 inf + 3 206.056 * * [simplify]: Extracting #4: cost 162 inf + 953 206.059 * * [simplify]: Extracting #5: cost 130 inf + 6159 206.069 * * [simplify]: Extracting #6: cost 64 inf + 35038 206.089 * * [simplify]: Extracting #7: cost 7 inf + 77124 206.112 * * [simplify]: Extracting #8: cost 0 inf + 80170 206.138 * * [simplify]: Extracting #9: cost 0 inf + 79870 206.160 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 206.160 * [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))))) 206.161 * * * * [progress]: [ 191 / 307 ] simplifiying candidate # 206.161 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 206.161 * * [simplify]: iters left: 6 (18 enodes) 206.167 * * [simplify]: iters left: 5 (74 enodes) 206.179 * * [simplify]: iters left: 4 (116 enodes) 206.197 * * [simplify]: iters left: 3 (179 enodes) 206.242 * * [simplify]: iters left: 2 (298 enodes) 206.312 * * [simplify]: iters left: 1 (495 enodes) 206.538 * * [simplify]: Extracting #0: cost 1 inf + 0 206.538 * * [simplify]: Extracting #1: cost 10 inf + 0 206.538 * * [simplify]: Extracting #2: cost 19 inf + 1 206.538 * * [simplify]: Extracting #3: cost 48 inf + 1 206.538 * * [simplify]: Extracting #4: cost 119 inf + 852 206.539 * * [simplify]: Extracting #5: cost 171 inf + 1231 206.541 * * [simplify]: Extracting #6: cost 118 inf + 9943 206.547 * * [simplify]: Extracting #7: cost 43 inf + 32589 206.559 * * [simplify]: Extracting #8: cost 5 inf + 65067 206.570 * * [simplify]: Extracting #9: cost 0 inf + 69094 206.581 * [simplify]: Simplified to (/ (* (cbrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* 2 n)) (/ (- 1 k) 2)))) (fabs (cbrt k))) 206.581 * [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))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 206.581 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 206.581 * * [simplify]: iters left: 6 (16 enodes) 206.586 * * [simplify]: iters left: 5 (65 enodes) 206.597 * * [simplify]: iters left: 4 (101 enodes) 206.612 * * [simplify]: iters left: 3 (147 enodes) 206.658 * * [simplify]: iters left: 2 (258 enodes) 206.722 * * [simplify]: iters left: 1 (426 enodes) 206.922 * * [simplify]: Extracting #0: cost 1 inf + 0 206.922 * * [simplify]: Extracting #1: cost 7 inf + 0 206.922 * * [simplify]: Extracting #2: cost 12 inf + 1 206.922 * * [simplify]: Extracting #3: cost 41 inf + 1 206.922 * * [simplify]: Extracting #4: cost 115 inf + 407 206.923 * * [simplify]: Extracting #5: cost 169 inf + 1818 206.926 * * [simplify]: Extracting #6: cost 92 inf + 19100 206.941 * * [simplify]: Extracting #7: cost 12 inf + 61693 206.955 * * [simplify]: Extracting #8: cost 0 inf + 67364 206.967 * * [simplify]: Extracting #9: cost 0 inf + 66649 206.985 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 206.985 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 206.985 * * * * [progress]: [ 192 / 307 ] simplifiying candidate # 206.985 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 206.986 * * [simplify]: iters left: 6 (17 enodes) 206.999 * * [simplify]: iters left: 5 (69 enodes) 207.020 * * [simplify]: iters left: 4 (106 enodes) 207.053 * * [simplify]: iters left: 3 (156 enodes) 207.097 * * [simplify]: iters left: 2 (270 enodes) 207.173 * * [simplify]: iters left: 1 (443 enodes) 207.367 * * [simplify]: Extracting #0: cost 1 inf + 0 207.367 * * [simplify]: Extracting #1: cost 7 inf + 0 207.367 * * [simplify]: Extracting #2: cost 14 inf + 1 207.367 * * [simplify]: Extracting #3: cost 45 inf + 1 207.368 * * [simplify]: Extracting #4: cost 125 inf + 569 207.370 * * [simplify]: Extracting #5: cost 162 inf + 1933 207.374 * * [simplify]: Extracting #6: cost 107 inf + 9314 207.391 * * [simplify]: Extracting #7: cost 20 inf + 48533 207.415 * * [simplify]: Extracting #8: cost 0 inf + 60548 207.436 * * [simplify]: Extracting #9: cost 0 inf + 58283 207.452 * * [simplify]: Extracting #10: cost 0 inf + 57751 207.468 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (fabs (cbrt k))) 207.468 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 207.469 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 207.469 * * [simplify]: iters left: 6 (16 enodes) 207.476 * * [simplify]: iters left: 5 (65 enodes) 207.496 * * [simplify]: iters left: 4 (102 enodes) 207.522 * * [simplify]: iters left: 3 (148 enodes) 207.554 * * [simplify]: iters left: 2 (260 enodes) 207.627 * * [simplify]: iters left: 1 (422 enodes) 207.774 * * [simplify]: Extracting #0: cost 1 inf + 0 207.775 * * [simplify]: Extracting #1: cost 7 inf + 0 207.775 * * [simplify]: Extracting #2: cost 13 inf + 1 207.775 * * [simplify]: Extracting #3: cost 44 inf + 1 207.776 * * [simplify]: Extracting #4: cost 121 inf + 407 207.777 * * [simplify]: Extracting #5: cost 144 inf + 1938 207.783 * * [simplify]: Extracting #6: cost 84 inf + 14779 207.795 * * [simplify]: Extracting #7: cost 19 inf + 46445 207.805 * * [simplify]: Extracting #8: cost 0 inf + 63083 207.814 * * [simplify]: Extracting #9: cost 0 inf + 62924 207.825 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 207.825 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 207.825 * * * * [progress]: [ 193 / 307 ] simplifiying candidate # 207.826 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 207.826 * * [simplify]: iters left: 6 (8 enodes) 207.831 * * [simplify]: iters left: 5 (26 enodes) 207.840 * * [simplify]: iters left: 4 (32 enodes) 207.848 * * [simplify]: Extracting #0: cost 1 inf + 0 207.848 * * [simplify]: Extracting #1: cost 4 inf + 0 207.848 * * [simplify]: Extracting #2: cost 6 inf + 1 207.848 * * [simplify]: Extracting #3: cost 9 inf + 1 207.848 * * [simplify]: Extracting #4: cost 4 inf + 487 207.849 * * [simplify]: Extracting #5: cost 0 inf + 972 207.849 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 207.849 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 207.849 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 207.850 * * [simplify]: iters left: 6 (15 enodes) 207.859 * * [simplify]: iters left: 5 (62 enodes) 207.876 * * [simplify]: iters left: 4 (102 enodes) 207.894 * * [simplify]: iters left: 3 (168 enodes) 207.950 * * [simplify]: iters left: 2 (350 enodes) 208.038 * * [simplify]: Extracting #0: cost 1 inf + 0 208.038 * * [simplify]: Extracting #1: cost 54 inf + 0 208.041 * * [simplify]: Extracting #2: cost 147 inf + 1 208.042 * * [simplify]: Extracting #3: cost 196 inf + 3 208.043 * * [simplify]: Extracting #4: cost 173 inf + 4514 208.048 * * [simplify]: Extracting #5: cost 98 inf + 37346 208.071 * * [simplify]: Extracting #6: cost 14 inf + 98563 208.100 * * [simplify]: Extracting #7: cost 0 inf + 103715 208.128 * * [simplify]: Extracting #8: cost 0 inf + 103453 208.157 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 208.157 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 208.157 * * * * [progress]: [ 194 / 307 ] simplifiying candidate # 208.158 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 208.158 * * [simplify]: iters left: 6 (17 enodes) 208.168 * * [simplify]: iters left: 5 (72 enodes) 208.181 * * [simplify]: iters left: 4 (116 enodes) 208.201 * * [simplify]: iters left: 3 (191 enodes) 208.275 * * [simplify]: iters left: 2 (384 enodes) 208.434 * * [simplify]: Extracting #0: cost 1 inf + 0 208.434 * * [simplify]: Extracting #1: cost 40 inf + 0 208.435 * * [simplify]: Extracting #2: cost 131 inf + 1 208.437 * * [simplify]: Extracting #3: cost 191 inf + 3 208.439 * * [simplify]: Extracting #4: cost 184 inf + 3516 208.444 * * [simplify]: Extracting #5: cost 106 inf + 25491 208.456 * * [simplify]: Extracting #6: cost 14 inf + 84844 208.470 * * [simplify]: Extracting #7: cost 0 inf + 95836 208.491 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 208.491 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 208.492 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 208.492 * * [simplify]: iters left: 6 (16 enodes) 208.505 * * [simplify]: iters left: 5 (68 enodes) 208.527 * * [simplify]: iters left: 4 (115 enodes) 208.557 * * [simplify]: iters left: 3 (196 enodes) 208.607 * * [simplify]: iters left: 2 (406 enodes) 208.732 * * [simplify]: Extracting #0: cost 1 inf + 0 208.732 * * [simplify]: Extracting #1: cost 40 inf + 0 208.733 * * [simplify]: Extracting #2: cost 119 inf + 1 208.733 * * [simplify]: Extracting #3: cost 178 inf + 3 208.734 * * [simplify]: Extracting #4: cost 182 inf + 672 208.737 * * [simplify]: Extracting #5: cost 149 inf + 7722 208.753 * * [simplify]: Extracting #6: cost 32 inf + 65800 208.783 * * [simplify]: Extracting #7: cost 1 inf + 87749 208.796 * * [simplify]: Extracting #8: cost 0 inf + 87750 208.813 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 208.813 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 208.813 * * * * [progress]: [ 195 / 307 ] simplifiying candidate # 208.814 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 208.814 * * [simplify]: iters left: 6 (12 enodes) 208.822 * * [simplify]: iters left: 5 (49 enodes) 208.834 * * [simplify]: iters left: 4 (85 enodes) 208.849 * * [simplify]: iters left: 3 (148 enodes) 208.894 * * [simplify]: iters left: 2 (320 enodes) 209.031 * * [simplify]: Extracting #0: cost 1 inf + 0 209.031 * * [simplify]: Extracting #1: cost 43 inf + 0 209.032 * * [simplify]: Extracting #2: cost 128 inf + 1 209.032 * * [simplify]: Extracting #3: cost 173 inf + 4 209.033 * * [simplify]: Extracting #4: cost 167 inf + 1166 209.035 * * [simplify]: Extracting #5: cost 116 inf + 11465 209.042 * * [simplify]: Extracting #6: cost 34 inf + 54907 209.057 * * [simplify]: Extracting #7: cost 0 inf + 79289 209.083 * * [simplify]: Extracting #8: cost 0 inf + 78474 209.094 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 209.094 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 209.094 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 209.094 * * [simplify]: iters left: 6 (13 enodes) 209.099 * * [simplify]: iters left: 5 (53 enodes) 209.108 * * [simplify]: iters left: 4 (89 enodes) 209.127 * * [simplify]: iters left: 3 (148 enodes) 209.159 * * [simplify]: iters left: 2 (312 enodes) 209.271 * * [simplify]: Extracting #0: cost 1 inf + 0 209.271 * * [simplify]: Extracting #1: cost 42 inf + 0 209.272 * * [simplify]: Extracting #2: cost 120 inf + 1 209.273 * * [simplify]: Extracting #3: cost 167 inf + 3 209.274 * * [simplify]: Extracting #4: cost 162 inf + 753 209.277 * * [simplify]: Extracting #5: cost 130 inf + 5799 209.286 * * [simplify]: Extracting #6: cost 64 inf + 33798 209.301 * * [simplify]: Extracting #7: cost 7 inf + 74324 209.312 * * [simplify]: Extracting #8: cost 0 inf + 77090 209.324 * * [simplify]: Extracting #9: cost 0 inf + 76790 209.345 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 209.345 * [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))))) 209.345 * * * * [progress]: [ 196 / 307 ] simplifiying candidate # 209.345 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 209.345 * * [simplify]: iters left: 6 (17 enodes) 209.350 * * [simplify]: iters left: 5 (70 enodes) 209.362 * * [simplify]: iters left: 4 (112 enodes) 209.386 * * [simplify]: iters left: 3 (174 enodes) 209.449 * * [simplify]: iters left: 2 (293 enodes) 209.550 * * [simplify]: iters left: 1 (482 enodes) 210.075 * * [simplify]: Extracting #0: cost 1 inf + 0 210.075 * * [simplify]: Extracting #1: cost 10 inf + 0 210.075 * * [simplify]: Extracting #2: cost 18 inf + 1 210.075 * * [simplify]: Extracting #3: cost 48 inf + 1 210.076 * * [simplify]: Extracting #4: cost 117 inf + 491 210.076 * * [simplify]: Extracting #5: cost 171 inf + 1163 210.079 * * [simplify]: Extracting #6: cost 108 inf + 14245 210.089 * * [simplify]: Extracting #7: cost 28 inf + 46968 210.111 * * [simplify]: Extracting #8: cost 0 inf + 73629 210.133 * * [simplify]: Extracting #9: cost 0 inf + 73117 210.144 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 210.145 * [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 k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 210.145 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 210.145 * * [simplify]: iters left: 6 (16 enodes) 210.150 * * [simplify]: iters left: 5 (65 enodes) 210.163 * * [simplify]: iters left: 4 (101 enodes) 210.194 * * [simplify]: iters left: 3 (147 enodes) 210.242 * * [simplify]: iters left: 2 (258 enodes) 210.297 * * [simplify]: iters left: 1 (426 enodes) 210.442 * * [simplify]: Extracting #0: cost 1 inf + 0 210.442 * * [simplify]: Extracting #1: cost 7 inf + 0 210.442 * * [simplify]: Extracting #2: cost 12 inf + 1 210.442 * * [simplify]: Extracting #3: cost 41 inf + 1 210.443 * * [simplify]: Extracting #4: cost 115 inf + 247 210.444 * * [simplify]: Extracting #5: cost 169 inf + 1578 210.450 * * [simplify]: Extracting #6: cost 92 inf + 18780 210.470 * * [simplify]: Extracting #7: cost 12 inf + 61293 210.495 * * [simplify]: Extracting #8: cost 0 inf + 66964 210.517 * * [simplify]: Extracting #9: cost 0 inf + 66249 210.530 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 210.530 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 210.530 * * * * [progress]: [ 197 / 307 ] simplifiying candidate # 210.531 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 210.531 * * [simplify]: iters left: 6 (16 enodes) 210.535 * * [simplify]: iters left: 5 (65 enodes) 210.549 * * [simplify]: iters left: 4 (102 enodes) 210.564 * * [simplify]: iters left: 3 (148 enodes) 210.591 * * [simplify]: iters left: 2 (260 enodes) 210.672 * * [simplify]: iters left: 1 (422 enodes) 210.837 * * [simplify]: Extracting #0: cost 1 inf + 0 210.837 * * [simplify]: Extracting #1: cost 7 inf + 0 210.837 * * [simplify]: Extracting #2: cost 13 inf + 1 210.837 * * [simplify]: Extracting #3: cost 44 inf + 1 210.838 * * [simplify]: Extracting #4: cost 121 inf + 247 210.840 * * [simplify]: Extracting #5: cost 144 inf + 1698 210.846 * * [simplify]: Extracting #6: cost 84 inf + 14419 210.864 * * [simplify]: Extracting #7: cost 19 inf + 46045 210.881 * * [simplify]: Extracting #8: cost 0 inf + 62683 210.891 * * [simplify]: Extracting #9: cost 0 inf + 62524 210.900 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 210.900 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 210.901 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 210.901 * * [simplify]: iters left: 6 (16 enodes) 210.906 * * [simplify]: iters left: 5 (65 enodes) 210.920 * * [simplify]: iters left: 4 (102 enodes) 210.951 * * [simplify]: iters left: 3 (148 enodes) 210.986 * * [simplify]: iters left: 2 (260 enodes) 211.042 * * [simplify]: iters left: 1 (422 enodes) 211.192 * * [simplify]: Extracting #0: cost 1 inf + 0 211.192 * * [simplify]: Extracting #1: cost 7 inf + 0 211.193 * * [simplify]: Extracting #2: cost 13 inf + 1 211.193 * * [simplify]: Extracting #3: cost 44 inf + 1 211.194 * * [simplify]: Extracting #4: cost 121 inf + 247 211.195 * * [simplify]: Extracting #5: cost 144 inf + 1698 211.201 * * [simplify]: Extracting #6: cost 84 inf + 14419 211.215 * * [simplify]: Extracting #7: cost 19 inf + 46045 211.233 * * [simplify]: Extracting #8: cost 0 inf + 62683 211.242 * * [simplify]: Extracting #9: cost 0 inf + 62524 211.252 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 211.252 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 211.252 * * * * [progress]: [ 198 / 307 ] simplifiying candidate # 211.253 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) 211.253 * * [simplify]: iters left: 6 (7 enodes) 211.255 * * [simplify]: iters left: 5 (23 enodes) 211.259 * * [simplify]: iters left: 4 (27 enodes) 211.266 * * [simplify]: iters left: 3 (28 enodes) 211.277 * * [simplify]: Extracting #0: cost 1 inf + 0 211.277 * * [simplify]: Extracting #1: cost 4 inf + 0 211.277 * * [simplify]: Extracting #2: cost 5 inf + 1 211.277 * * [simplify]: Extracting #3: cost 7 inf + 1 211.278 * * [simplify]: Extracting #4: cost 2 inf + 287 211.278 * * [simplify]: Extracting #5: cost 0 inf + 490 211.278 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 211.278 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 211.279 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 211.279 * * [simplify]: iters left: 6 (15 enodes) 211.288 * * [simplify]: iters left: 5 (62 enodes) 211.299 * * [simplify]: iters left: 4 (102 enodes) 211.315 * * [simplify]: iters left: 3 (168 enodes) 211.375 * * [simplify]: iters left: 2 (350 enodes) 211.490 * * [simplify]: Extracting #0: cost 1 inf + 0 211.490 * * [simplify]: Extracting #1: cost 54 inf + 0 211.491 * * [simplify]: Extracting #2: cost 147 inf + 1 211.491 * * [simplify]: Extracting #3: cost 196 inf + 3 211.493 * * [simplify]: Extracting #4: cost 173 inf + 4274 211.497 * * [simplify]: Extracting #5: cost 98 inf + 36186 211.510 * * [simplify]: Extracting #6: cost 14 inf + 95563 211.538 * * [simplify]: Extracting #7: cost 0 inf + 100235 211.570 * * [simplify]: Extracting #8: cost 0 inf + 99973 211.600 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 211.600 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 211.600 * * * * [progress]: [ 199 / 307 ] simplifiying candidate # 211.601 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 211.601 * * [simplify]: iters left: 6 (16 enodes) 211.610 * * [simplify]: iters left: 5 (68 enodes) 211.632 * * [simplify]: iters left: 4 (115 enodes) 211.657 * * [simplify]: iters left: 3 (196 enodes) 211.709 * * [simplify]: iters left: 2 (406 enodes) 211.813 * * [simplify]: Extracting #0: cost 1 inf + 0 211.813 * * [simplify]: Extracting #1: cost 40 inf + 0 211.813 * * [simplify]: Extracting #2: cost 119 inf + 1 211.814 * * [simplify]: Extracting #3: cost 178 inf + 3 211.819 * * [simplify]: Extracting #4: cost 182 inf + 552 211.822 * * [simplify]: Extracting #5: cost 149 inf + 7402 211.839 * * [simplify]: Extracting #6: cost 32 inf + 63640 211.867 * * [simplify]: Extracting #7: cost 1 inf + 84789 211.893 * * [simplify]: Extracting #8: cost 0 inf + 84750 211.920 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 211.920 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 211.921 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 211.921 * * [simplify]: iters left: 6 (16 enodes) 211.930 * * [simplify]: iters left: 5 (68 enodes) 211.944 * * [simplify]: iters left: 4 (115 enodes) 211.966 * * [simplify]: iters left: 3 (196 enodes) 212.045 * * [simplify]: iters left: 2 (406 enodes) 212.228 * * [simplify]: Extracting #0: cost 1 inf + 0 212.228 * * [simplify]: Extracting #1: cost 40 inf + 0 212.229 * * [simplify]: Extracting #2: cost 119 inf + 1 212.229 * * [simplify]: Extracting #3: cost 178 inf + 3 212.230 * * [simplify]: Extracting #4: cost 182 inf + 552 212.233 * * [simplify]: Extracting #5: cost 149 inf + 7402 212.250 * * [simplify]: Extracting #6: cost 32 inf + 63640 212.278 * * [simplify]: Extracting #7: cost 1 inf + 84789 212.297 * * [simplify]: Extracting #8: cost 0 inf + 84750 212.313 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 212.313 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 212.313 * * * * [progress]: [ 200 / 307 ] simplifiying candidate # 212.314 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 212.314 * * [simplify]: iters left: 6 (10 enodes) 212.319 * * [simplify]: iters left: 5 (43 enodes) 212.333 * * [simplify]: iters left: 4 (66 enodes) 212.351 * * [simplify]: iters left: 3 (113 enodes) 212.386 * * [simplify]: iters left: 2 (235 enodes) 212.461 * * [simplify]: Extracting #0: cost 1 inf + 0 212.461 * * [simplify]: Extracting #1: cost 28 inf + 0 212.461 * * [simplify]: Extracting #2: cost 92 inf + 3 212.462 * * [simplify]: Extracting #3: cost 132 inf + 6 212.462 * * [simplify]: Extracting #4: cost 128 inf + 721 212.464 * * [simplify]: Extracting #5: cost 74 inf + 9544 212.467 * * [simplify]: Extracting #6: cost 33 inf + 24631 212.473 * * [simplify]: Extracting #7: cost 2 inf + 46007 212.478 * * [simplify]: Extracting #8: cost 0 inf + 45838 212.484 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 212.484 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 212.484 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 212.484 * * [simplify]: iters left: 6 (12 enodes) 212.490 * * [simplify]: iters left: 5 (50 enodes) 212.506 * * [simplify]: iters left: 4 (86 enodes) 212.538 * * [simplify]: iters left: 3 (149 enodes) 212.598 * * [simplify]: iters left: 2 (314 enodes) 212.746 * * [simplify]: Extracting #0: cost 1 inf + 0 212.746 * * [simplify]: Extracting #1: cost 45 inf + 0 212.747 * * [simplify]: Extracting #2: cost 128 inf + 1 212.753 * * [simplify]: Extracting #3: cost 171 inf + 127 212.754 * * [simplify]: Extracting #4: cost 164 inf + 1293 212.760 * * [simplify]: Extracting #5: cost 105 inf + 20609 212.779 * * [simplify]: Extracting #6: cost 17 inf + 71703 212.802 * * [simplify]: Extracting #7: cost 0 inf + 81242 212.826 * * [simplify]: Extracting #8: cost 0 inf + 79644 212.850 * * [simplify]: Extracting #9: cost 0 inf + 79404 212.864 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 212.865 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 212.865 * * * * [progress]: [ 201 / 307 ] simplifiying candidate # 212.865 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 212.865 * * [simplify]: iters left: 6 (15 enodes) 212.871 * * [simplify]: iters left: 5 (64 enodes) 212.881 * * [simplify]: iters left: 4 (102 enodes) 212.905 * * [simplify]: iters left: 3 (153 enodes) 212.938 * * [simplify]: iters left: 2 (243 enodes) 213.001 * * [simplify]: iters left: 1 (429 enodes) 213.149 * * [simplify]: Extracting #0: cost 1 inf + 0 213.149 * * [simplify]: Extracting #1: cost 6 inf + 0 213.149 * * [simplify]: Extracting #2: cost 9 inf + 1 213.149 * * [simplify]: Extracting #3: cost 38 inf + 1 213.149 * * [simplify]: Extracting #4: cost 113 inf + 2 213.150 * * [simplify]: Extracting #5: cost 165 inf + 176 213.151 * * [simplify]: Extracting #6: cost 166 inf + 561 213.156 * * [simplify]: Extracting #7: cost 102 inf + 10467 213.161 * * [simplify]: Extracting #8: cost 43 inf + 31828 213.172 * * [simplify]: Extracting #9: cost 8 inf + 59530 213.184 * * [simplify]: Extracting #10: cost 0 inf + 66144 213.197 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 213.197 * [simplify]: Simplified (2 1) 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 k) 2))))))) 213.197 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 213.197 * * [simplify]: iters left: 6 (15 enodes) 213.207 * * [simplify]: iters left: 5 (62 enodes) 213.226 * * [simplify]: iters left: 4 (98 enodes) 213.256 * * [simplify]: iters left: 3 (144 enodes) 213.308 * * [simplify]: iters left: 2 (255 enodes) 213.355 * * [simplify]: iters left: 1 (423 enodes) 213.528 * * [simplify]: Extracting #0: cost 1 inf + 0 213.528 * * [simplify]: Extracting #1: cost 7 inf + 0 213.528 * * [simplify]: Extracting #2: cost 12 inf + 1 213.528 * * [simplify]: Extracting #3: cost 34 inf + 84 213.529 * * [simplify]: Extracting #4: cost 106 inf + 167 213.530 * * [simplify]: Extracting #5: cost 150 inf + 880 213.532 * * [simplify]: Extracting #6: cost 102 inf + 6867 213.540 * * [simplify]: Extracting #7: cost 46 inf + 24885 213.556 * * [simplify]: Extracting #8: cost 8 inf + 55285 213.573 * * [simplify]: Extracting #9: cost 0 inf + 62988 213.583 * * [simplify]: Extracting #10: cost 0 inf + 62793 213.595 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)) 213.595 * [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 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)))) 213.596 * * * * [progress]: [ 202 / 307 ] simplifiying candidate # 213.596 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 213.596 * * [simplify]: iters left: 6 (14 enodes) 213.601 * * [simplify]: iters left: 5 (59 enodes) 213.617 * * [simplify]: iters left: 4 (93 enodes) 213.645 * * [simplify]: iters left: 3 (136 enodes) 213.687 * * [simplify]: iters left: 2 (219 enodes) 213.771 * * [simplify]: iters left: 1 (399 enodes) 213.949 * * [simplify]: Extracting #0: cost 1 inf + 0 213.949 * * [simplify]: Extracting #1: cost 6 inf + 0 213.949 * * [simplify]: Extracting #2: cost 39 inf + 1 213.950 * * [simplify]: Extracting #3: cost 125 inf + 2 213.951 * * [simplify]: Extracting #4: cost 173 inf + 177 213.953 * * [simplify]: Extracting #5: cost 160 inf + 1385 213.963 * * [simplify]: Extracting #6: cost 67 inf + 18665 213.984 * * [simplify]: Extracting #7: cost 12 inf + 50747 214.012 * * [simplify]: Extracting #8: cost 0 inf + 58063 214.028 * * [simplify]: Extracting #9: cost 0 inf + 57932 214.043 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 214.043 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 214.043 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 214.043 * * [simplify]: iters left: 6 (15 enodes) 214.053 * * [simplify]: iters left: 5 (62 enodes) 214.073 * * [simplify]: iters left: 4 (99 enodes) 214.103 * * [simplify]: iters left: 3 (148 enodes) 214.159 * * [simplify]: iters left: 2 (265 enodes) 214.240 * * [simplify]: iters left: 1 (440 enodes) 214.404 * * [simplify]: Extracting #0: cost 1 inf + 0 214.404 * * [simplify]: Extracting #1: cost 7 inf + 0 214.404 * * [simplify]: Extracting #2: cost 13 inf + 1 214.404 * * [simplify]: Extracting #3: cost 36 inf + 84 214.405 * * [simplify]: Extracting #4: cost 120 inf + 167 214.406 * * [simplify]: Extracting #5: cost 157 inf + 1130 214.411 * * [simplify]: Extracting #6: cost 85 inf + 13868 214.424 * * [simplify]: Extracting #7: cost 23 inf + 42082 214.445 * * [simplify]: Extracting #8: cost 0 inf + 61932 214.455 * * [simplify]: Extracting #9: cost 0 inf + 60994 214.468 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)) 214.468 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)))) 214.468 * * * * [progress]: [ 203 / 307 ] simplifiying candidate # 214.468 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) 1)) 214.468 * * [simplify]: iters left: 5 (4 enodes) 214.476 * * [simplify]: iters left: 4 (14 enodes) 214.479 * * [simplify]: iters left: 3 (16 enodes) 214.482 * * [simplify]: Extracting #0: cost 1 inf + 0 214.482 * * [simplify]: Extracting #1: cost 0 inf + 1 214.482 * [simplify]: Simplified to 1 214.482 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 214.483 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 214.483 * * [simplify]: iters left: 6 (14 enodes) 214.491 * * [simplify]: iters left: 5 (59 enodes) 214.510 * * [simplify]: iters left: 4 (103 enodes) 214.536 * * [simplify]: iters left: 3 (167 enodes) 214.573 * * [simplify]: iters left: 2 (328 enodes) 214.695 * * [simplify]: Extracting #0: cost 1 inf + 0 214.695 * * [simplify]: Extracting #1: cost 55 inf + 0 214.695 * * [simplify]: Extracting #2: cost 154 inf + 1 214.697 * * [simplify]: Extracting #3: cost 200 inf + 168 214.699 * * [simplify]: Extracting #4: cost 186 inf + 3734 214.704 * * [simplify]: Extracting #5: cost 141 inf + 11840 214.722 * * [simplify]: Extracting #6: cost 45 inf + 71501 214.749 * * [simplify]: Extracting #7: cost 1 inf + 102846 214.763 * * [simplify]: Extracting #8: cost 0 inf + 101634 214.779 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 214.779 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 214.779 * * * * [progress]: [ 204 / 307 ] simplifiying candidate # 214.779 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 214.780 * * [simplify]: iters left: 6 (14 enodes) 214.789 * * [simplify]: iters left: 5 (62 enodes) 214.807 * * [simplify]: iters left: 4 (103 enodes) 214.825 * * [simplify]: iters left: 3 (170 enodes) 214.868 * * [simplify]: iters left: 2 (312 enodes) 214.957 * * [simplify]: Extracting #0: cost 1 inf + 0 214.957 * * [simplify]: Extracting #1: cost 25 inf + 0 214.957 * * [simplify]: Extracting #2: cost 99 inf + 2 214.958 * * [simplify]: Extracting #3: cost 146 inf + 176 214.960 * * [simplify]: Extracting #4: cost 143 inf + 724 214.963 * * [simplify]: Extracting #5: cost 90 inf + 6898 214.968 * * [simplify]: Extracting #6: cost 29 inf + 31206 214.975 * * [simplify]: Extracting #7: cost 0 inf + 51041 214.984 * * [simplify]: Extracting #8: cost 0 inf + 50739 214.992 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 214.992 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 214.992 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 214.992 * * [simplify]: iters left: 6 (15 enodes) 214.997 * * [simplify]: iters left: 5 (65 enodes) 215.017 * * [simplify]: iters left: 4 (109 enodes) 215.051 * * [simplify]: iters left: 3 (183 enodes) 215.102 * * [simplify]: iters left: 2 (374 enodes) 215.235 * * [simplify]: Extracting #0: cost 1 inf + 0 215.235 * * [simplify]: Extracting #1: cost 42 inf + 0 215.236 * * [simplify]: Extracting #2: cost 135 inf + 1 215.237 * * [simplify]: Extracting #3: cost 185 inf + 127 215.239 * * [simplify]: Extracting #4: cost 173 inf + 4077 215.249 * * [simplify]: Extracting #5: cost 90 inf + 29613 215.277 * * [simplify]: Extracting #6: cost 5 inf + 88299 215.307 * * [simplify]: Extracting #7: cost 0 inf + 89709 215.336 * * [simplify]: Extracting #8: cost 0 inf + 89628 215.364 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 215.364 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 215.365 * * * * [progress]: [ 205 / 307 ] simplifiying candidate # 215.365 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 215.365 * * [simplify]: iters left: 6 (12 enodes) 215.369 * * [simplify]: iters left: 5 (49 enodes) 215.378 * * [simplify]: iters left: 4 (85 enodes) 215.393 * * [simplify]: iters left: 3 (148 enodes) 215.451 * * [simplify]: iters left: 2 (320 enodes) 215.604 * * [simplify]: Extracting #0: cost 1 inf + 0 215.604 * * [simplify]: Extracting #1: cost 43 inf + 0 215.605 * * [simplify]: Extracting #2: cost 128 inf + 1 215.606 * * [simplify]: Extracting #3: cost 173 inf + 4 215.608 * * [simplify]: Extracting #4: cost 167 inf + 1166 215.612 * * [simplify]: Extracting #5: cost 116 inf + 11465 215.626 * * [simplify]: Extracting #6: cost 34 inf + 54907 215.641 * * [simplify]: Extracting #7: cost 0 inf + 79289 215.652 * * [simplify]: Extracting #8: cost 0 inf + 78474 215.663 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 215.663 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 215.663 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 215.663 * * [simplify]: iters left: 6 (13 enodes) 215.668 * * [simplify]: iters left: 5 (53 enodes) 215.684 * * [simplify]: iters left: 4 (89 enodes) 215.699 * * [simplify]: iters left: 3 (148 enodes) 215.741 * * [simplify]: iters left: 2 (312 enodes) 215.853 * * [simplify]: Extracting #0: cost 1 inf + 0 215.853 * * [simplify]: Extracting #1: cost 42 inf + 0 215.854 * * [simplify]: Extracting #2: cost 120 inf + 1 215.855 * * [simplify]: Extracting #3: cost 167 inf + 3 215.857 * * [simplify]: Extracting #4: cost 162 inf + 753 215.859 * * [simplify]: Extracting #5: cost 130 inf + 5799 215.866 * * [simplify]: Extracting #6: cost 64 inf + 33798 215.877 * * [simplify]: Extracting #7: cost 7 inf + 74324 215.888 * * [simplify]: Extracting #8: cost 0 inf + 77090 215.908 * * [simplify]: Extracting #9: cost 0 inf + 76790 215.929 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 215.929 * [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))))) 215.929 * * * * [progress]: [ 206 / 307 ] simplifiying candidate # 215.929 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 215.929 * * [simplify]: iters left: 6 (17 enodes) 215.935 * * [simplify]: iters left: 5 (70 enodes) 215.949 * * [simplify]: iters left: 4 (112 enodes) 215.971 * * [simplify]: iters left: 3 (174 enodes) 216.032 * * [simplify]: iters left: 2 (293 enodes) 216.137 * * [simplify]: iters left: 1 (482 enodes) 216.336 * * [simplify]: Extracting #0: cost 1 inf + 0 216.337 * * [simplify]: Extracting #1: cost 10 inf + 0 216.337 * * [simplify]: Extracting #2: cost 18 inf + 1 216.337 * * [simplify]: Extracting #3: cost 48 inf + 1 216.337 * * [simplify]: Extracting #4: cost 117 inf + 491 216.338 * * [simplify]: Extracting #5: cost 171 inf + 1163 216.341 * * [simplify]: Extracting #6: cost 108 inf + 14245 216.354 * * [simplify]: Extracting #7: cost 28 inf + 46968 216.377 * * [simplify]: Extracting #8: cost 0 inf + 73629 216.399 * * [simplify]: Extracting #9: cost 0 inf + 73117 216.413 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 216.413 * [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 k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 216.413 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 216.413 * * [simplify]: iters left: 6 (16 enodes) 216.421 * * [simplify]: iters left: 5 (65 enodes) 216.432 * * [simplify]: iters left: 4 (101 enodes) 216.453 * * [simplify]: iters left: 3 (147 enodes) 216.484 * * [simplify]: iters left: 2 (258 enodes) 216.554 * * [simplify]: iters left: 1 (426 enodes) 216.683 * * [simplify]: Extracting #0: cost 1 inf + 0 216.683 * * [simplify]: Extracting #1: cost 7 inf + 0 216.683 * * [simplify]: Extracting #2: cost 12 inf + 1 216.683 * * [simplify]: Extracting #3: cost 41 inf + 1 216.684 * * [simplify]: Extracting #4: cost 115 inf + 247 216.685 * * [simplify]: Extracting #5: cost 169 inf + 1578 216.688 * * [simplify]: Extracting #6: cost 92 inf + 18780 216.702 * * [simplify]: Extracting #7: cost 12 inf + 61293 216.714 * * [simplify]: Extracting #8: cost 0 inf + 66964 216.730 * * [simplify]: Extracting #9: cost 0 inf + 66249 216.751 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 216.751 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 216.751 * * * * [progress]: [ 207 / 307 ] simplifiying candidate # 216.752 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 216.752 * * [simplify]: iters left: 6 (16 enodes) 216.756 * * [simplify]: iters left: 5 (65 enodes) 216.767 * * [simplify]: iters left: 4 (102 enodes) 216.789 * * [simplify]: iters left: 3 (148 enodes) 216.825 * * [simplify]: iters left: 2 (260 enodes) 216.898 * * [simplify]: iters left: 1 (422 enodes) 217.015 * * [simplify]: Extracting #0: cost 1 inf + 0 217.015 * * [simplify]: Extracting #1: cost 7 inf + 0 217.015 * * [simplify]: Extracting #2: cost 13 inf + 1 217.015 * * [simplify]: Extracting #3: cost 44 inf + 1 217.016 * * [simplify]: Extracting #4: cost 121 inf + 247 217.016 * * [simplify]: Extracting #5: cost 144 inf + 1698 217.019 * * [simplify]: Extracting #6: cost 84 inf + 14419 217.026 * * [simplify]: Extracting #7: cost 19 inf + 46045 217.036 * * [simplify]: Extracting #8: cost 0 inf + 62683 217.051 * * [simplify]: Extracting #9: cost 0 inf + 62524 217.063 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 217.063 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 217.063 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 217.063 * * [simplify]: iters left: 6 (16 enodes) 217.068 * * [simplify]: iters left: 5 (65 enodes) 217.079 * * [simplify]: iters left: 4 (102 enodes) 217.095 * * [simplify]: iters left: 3 (148 enodes) 217.121 * * [simplify]: iters left: 2 (260 enodes) 217.178 * * [simplify]: iters left: 1 (422 enodes) 217.372 * * [simplify]: Extracting #0: cost 1 inf + 0 217.373 * * [simplify]: Extracting #1: cost 7 inf + 0 217.373 * * [simplify]: Extracting #2: cost 13 inf + 1 217.373 * * [simplify]: Extracting #3: cost 44 inf + 1 217.373 * * [simplify]: Extracting #4: cost 121 inf + 247 217.374 * * [simplify]: Extracting #5: cost 144 inf + 1698 217.377 * * [simplify]: Extracting #6: cost 84 inf + 14419 217.384 * * [simplify]: Extracting #7: cost 19 inf + 46045 217.394 * * [simplify]: Extracting #8: cost 0 inf + 62683 217.408 * * [simplify]: Extracting #9: cost 0 inf + 62524 217.428 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 217.428 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 217.428 * * * * [progress]: [ 208 / 307 ] simplifiying candidate # 217.428 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) 217.429 * * [simplify]: iters left: 6 (7 enodes) 217.434 * * [simplify]: iters left: 5 (23 enodes) 217.441 * * [simplify]: iters left: 4 (27 enodes) 217.448 * * [simplify]: iters left: 3 (28 enodes) 217.455 * * [simplify]: Extracting #0: cost 1 inf + 0 217.455 * * [simplify]: Extracting #1: cost 4 inf + 0 217.456 * * [simplify]: Extracting #2: cost 5 inf + 1 217.456 * * [simplify]: Extracting #3: cost 7 inf + 1 217.456 * * [simplify]: Extracting #4: cost 2 inf + 287 217.456 * * [simplify]: Extracting #5: cost 0 inf + 490 217.456 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 217.456 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 217.457 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 217.457 * * [simplify]: iters left: 6 (15 enodes) 217.466 * * [simplify]: iters left: 5 (62 enodes) 217.486 * * [simplify]: iters left: 4 (102 enodes) 217.522 * * [simplify]: iters left: 3 (168 enodes) 217.591 * * [simplify]: iters left: 2 (350 enodes) 217.742 * * [simplify]: Extracting #0: cost 1 inf + 0 217.742 * * [simplify]: Extracting #1: cost 54 inf + 0 217.742 * * [simplify]: Extracting #2: cost 147 inf + 1 217.743 * * [simplify]: Extracting #3: cost 196 inf + 3 217.744 * * [simplify]: Extracting #4: cost 173 inf + 4274 217.749 * * [simplify]: Extracting #5: cost 98 inf + 36186 217.762 * * [simplify]: Extracting #6: cost 14 inf + 95563 217.777 * * [simplify]: Extracting #7: cost 0 inf + 100235 217.792 * * [simplify]: Extracting #8: cost 0 inf + 99973 217.822 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 217.822 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 217.822 * * * * [progress]: [ 209 / 307 ] simplifiying candidate # 217.823 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 217.823 * * [simplify]: iters left: 6 (16 enodes) 217.836 * * [simplify]: iters left: 5 (68 enodes) 217.849 * * [simplify]: iters left: 4 (115 enodes) 217.868 * * [simplify]: iters left: 3 (196 enodes) 217.916 * * [simplify]: iters left: 2 (406 enodes) 218.100 * * [simplify]: Extracting #0: cost 1 inf + 0 218.100 * * [simplify]: Extracting #1: cost 40 inf + 0 218.100 * * [simplify]: Extracting #2: cost 119 inf + 1 218.101 * * [simplify]: Extracting #3: cost 178 inf + 3 218.102 * * [simplify]: Extracting #4: cost 182 inf + 552 218.103 * * [simplify]: Extracting #5: cost 149 inf + 7402 218.116 * * [simplify]: Extracting #6: cost 32 inf + 63640 218.141 * * [simplify]: Extracting #7: cost 1 inf + 84789 218.154 * * [simplify]: Extracting #8: cost 0 inf + 84750 218.168 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 218.168 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 218.169 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 218.169 * * [simplify]: iters left: 6 (16 enodes) 218.178 * * [simplify]: iters left: 5 (68 enodes) 218.198 * * [simplify]: iters left: 4 (115 enodes) 218.218 * * [simplify]: iters left: 3 (196 enodes) 218.290 * * [simplify]: iters left: 2 (406 enodes) 218.462 * * [simplify]: Extracting #0: cost 1 inf + 0 218.463 * * [simplify]: Extracting #1: cost 40 inf + 0 218.463 * * [simplify]: Extracting #2: cost 119 inf + 1 218.465 * * [simplify]: Extracting #3: cost 178 inf + 3 218.466 * * [simplify]: Extracting #4: cost 182 inf + 552 218.469 * * [simplify]: Extracting #5: cost 149 inf + 7402 218.487 * * [simplify]: Extracting #6: cost 32 inf + 63640 218.513 * * [simplify]: Extracting #7: cost 1 inf + 84789 218.527 * * [simplify]: Extracting #8: cost 0 inf + 84750 218.541 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 218.541 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 218.541 * * * * [progress]: [ 210 / 307 ] simplifiying candidate # 218.542 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow n (/ (- 1 k) 2)))) 218.542 * * [simplify]: iters left: 6 (10 enodes) 218.548 * * [simplify]: iters left: 5 (43 enodes) 218.563 * * [simplify]: iters left: 4 (66 enodes) 218.587 * * [simplify]: iters left: 3 (113 enodes) 218.631 * * [simplify]: iters left: 2 (235 enodes) 218.690 * * [simplify]: Extracting #0: cost 1 inf + 0 218.690 * * [simplify]: Extracting #1: cost 28 inf + 0 218.690 * * [simplify]: Extracting #2: cost 92 inf + 3 218.690 * * [simplify]: Extracting #3: cost 132 inf + 6 218.691 * * [simplify]: Extracting #4: cost 128 inf + 721 218.693 * * [simplify]: Extracting #5: cost 74 inf + 9544 218.696 * * [simplify]: Extracting #6: cost 33 inf + 24631 218.702 * * [simplify]: Extracting #7: cost 2 inf + 46007 218.708 * * [simplify]: Extracting #8: cost 0 inf + 45838 218.719 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 218.719 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 218.720 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 218.720 * * [simplify]: iters left: 6 (12 enodes) 218.728 * * [simplify]: iters left: 5 (50 enodes) 218.741 * * [simplify]: iters left: 4 (86 enodes) 218.755 * * [simplify]: iters left: 3 (149 enodes) 218.790 * * [simplify]: iters left: 2 (314 enodes) 218.942 * * [simplify]: Extracting #0: cost 1 inf + 0 218.942 * * [simplify]: Extracting #1: cost 45 inf + 0 218.943 * * [simplify]: Extracting #2: cost 128 inf + 1 218.943 * * [simplify]: Extracting #3: cost 171 inf + 127 218.944 * * [simplify]: Extracting #4: cost 164 inf + 1293 218.947 * * [simplify]: Extracting #5: cost 105 inf + 20609 218.962 * * [simplify]: Extracting #6: cost 17 inf + 71703 218.989 * * [simplify]: Extracting #7: cost 0 inf + 81242 219.012 * * [simplify]: Extracting #8: cost 0 inf + 79644 219.024 * * [simplify]: Extracting #9: cost 0 inf + 79404 219.036 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 219.036 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 219.036 * * * * [progress]: [ 211 / 307 ] simplifiying candidate # 219.036 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 219.036 * * [simplify]: iters left: 6 (15 enodes) 219.041 * * [simplify]: iters left: 5 (64 enodes) 219.060 * * [simplify]: iters left: 4 (99 enodes) 219.090 * * [simplify]: iters left: 3 (146 enodes) 219.138 * * [simplify]: iters left: 2 (233 enodes) 219.224 * * [simplify]: iters left: 1 (420 enodes) 219.368 * * [simplify]: Extracting #0: cost 1 inf + 0 219.368 * * [simplify]: Extracting #1: cost 6 inf + 0 219.368 * * [simplify]: Extracting #2: cost 9 inf + 1 219.368 * * [simplify]: Extracting #3: cost 35 inf + 1 219.369 * * [simplify]: Extracting #4: cost 108 inf + 2 219.370 * * [simplify]: Extracting #5: cost 159 inf + 176 219.372 * * [simplify]: Extracting #6: cost 161 inf + 519 219.376 * * [simplify]: Extracting #7: cost 96 inf + 11551 219.391 * * [simplify]: Extracting #8: cost 23 inf + 46909 219.406 * * [simplify]: Extracting #9: cost 0 inf + 65125 219.421 * * [simplify]: Extracting #10: cost 0 inf + 63254 219.439 * * [simplify]: Extracting #11: cost 0 inf + 62882 219.462 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 219.462 * [simplify]: Simplified (2 1) 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 k) 2))))))) 219.463 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 219.463 * * [simplify]: iters left: 6 (15 enodes) 219.472 * * [simplify]: iters left: 5 (62 enodes) 219.492 * * [simplify]: iters left: 4 (98 enodes) 219.522 * * [simplify]: iters left: 3 (144 enodes) 219.563 * * [simplify]: iters left: 2 (255 enodes) 219.620 * * [simplify]: iters left: 1 (423 enodes) 219.773 * * [simplify]: Extracting #0: cost 1 inf + 0 219.773 * * [simplify]: Extracting #1: cost 7 inf + 0 219.773 * * [simplify]: Extracting #2: cost 12 inf + 1 219.773 * * [simplify]: Extracting #3: cost 34 inf + 84 219.774 * * [simplify]: Extracting #4: cost 106 inf + 167 219.775 * * [simplify]: Extracting #5: cost 150 inf + 880 219.779 * * [simplify]: Extracting #6: cost 102 inf + 6867 219.787 * * [simplify]: Extracting #7: cost 46 inf + 24885 219.804 * * [simplify]: Extracting #8: cost 8 inf + 55285 219.822 * * [simplify]: Extracting #9: cost 0 inf + 62988 219.841 * * [simplify]: Extracting #10: cost 0 inf + 62793 219.860 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)) 219.860 * [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 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)))) 219.860 * * * * [progress]: [ 212 / 307 ] simplifiying candidate # 219.860 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 219.861 * * [simplify]: iters left: 6 (14 enodes) 219.870 * * [simplify]: iters left: 5 (59 enodes) 219.891 * * [simplify]: iters left: 4 (93 enodes) 219.905 * * [simplify]: iters left: 3 (136 enodes) 219.936 * * [simplify]: iters left: 2 (219 enodes) 220.018 * * [simplify]: iters left: 1 (399 enodes) 220.193 * * [simplify]: Extracting #0: cost 1 inf + 0 220.193 * * [simplify]: Extracting #1: cost 6 inf + 0 220.193 * * [simplify]: Extracting #2: cost 39 inf + 1 220.193 * * [simplify]: Extracting #3: cost 125 inf + 2 220.194 * * [simplify]: Extracting #4: cost 173 inf + 177 220.195 * * [simplify]: Extracting #5: cost 160 inf + 1385 220.200 * * [simplify]: Extracting #6: cost 67 inf + 18665 220.220 * * [simplify]: Extracting #7: cost 12 inf + 50747 220.254 * * [simplify]: Extracting #8: cost 0 inf + 58063 220.284 * * [simplify]: Extracting #9: cost 0 inf + 57932 220.312 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 220.312 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 220.313 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 220.313 * * [simplify]: iters left: 6 (15 enodes) 220.318 * * [simplify]: iters left: 5 (62 enodes) 220.329 * * [simplify]: iters left: 4 (99 enodes) 220.344 * * [simplify]: iters left: 3 (148 enodes) 220.379 * * [simplify]: iters left: 2 (265 enodes) 220.461 * * [simplify]: iters left: 1 (440 enodes) 220.610 * * [simplify]: Extracting #0: cost 1 inf + 0 220.610 * * [simplify]: Extracting #1: cost 7 inf + 0 220.610 * * [simplify]: Extracting #2: cost 13 inf + 1 220.610 * * [simplify]: Extracting #3: cost 36 inf + 84 220.610 * * [simplify]: Extracting #4: cost 120 inf + 167 220.611 * * [simplify]: Extracting #5: cost 157 inf + 1130 220.614 * * [simplify]: Extracting #6: cost 85 inf + 13868 220.620 * * [simplify]: Extracting #7: cost 23 inf + 42082 220.630 * * [simplify]: Extracting #8: cost 0 inf + 61932 220.643 * * [simplify]: Extracting #9: cost 0 inf + 60994 220.653 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)) 220.653 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)))) 220.654 * * * * [progress]: [ 213 / 307 ] simplifiying candidate # 220.654 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 1)) 220.654 * * [simplify]: iters left: 4 (4 enodes) 220.658 * * [simplify]: iters left: 3 (12 enodes) 220.660 * * [simplify]: iters left: 2 (14 enodes) 220.664 * * [simplify]: Extracting #0: cost 1 inf + 0 220.664 * * [simplify]: Extracting #1: cost 0 inf + 1 220.664 * [simplify]: Simplified to 1 220.664 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 220.664 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 220.664 * * [simplify]: iters left: 6 (14 enodes) 220.672 * * [simplify]: iters left: 5 (59 enodes) 220.690 * * [simplify]: iters left: 4 (103 enodes) 220.706 * * [simplify]: iters left: 3 (167 enodes) 220.754 * * [simplify]: iters left: 2 (328 enodes) 220.867 * * [simplify]: Extracting #0: cost 1 inf + 0 220.868 * * [simplify]: Extracting #1: cost 55 inf + 0 220.868 * * [simplify]: Extracting #2: cost 154 inf + 1 220.870 * * [simplify]: Extracting #3: cost 200 inf + 168 220.872 * * [simplify]: Extracting #4: cost 186 inf + 3734 220.877 * * [simplify]: Extracting #5: cost 141 inf + 11840 220.894 * * [simplify]: Extracting #6: cost 45 inf + 71501 220.923 * * [simplify]: Extracting #7: cost 1 inf + 102846 220.955 * * [simplify]: Extracting #8: cost 0 inf + 101634 220.984 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 220.984 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 220.984 * * * * [progress]: [ 214 / 307 ] simplifiying candidate # 220.984 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 220.984 * * [simplify]: iters left: 6 (14 enodes) 220.994 * * [simplify]: iters left: 5 (62 enodes) 221.015 * * [simplify]: iters left: 4 (103 enodes) 221.049 * * [simplify]: iters left: 3 (170 enodes) 221.110 * * [simplify]: iters left: 2 (312 enodes) 221.213 * * [simplify]: Extracting #0: cost 1 inf + 0 221.214 * * [simplify]: Extracting #1: cost 25 inf + 0 221.214 * * [simplify]: Extracting #2: cost 99 inf + 2 221.214 * * [simplify]: Extracting #3: cost 146 inf + 176 221.215 * * [simplify]: Extracting #4: cost 143 inf + 724 221.217 * * [simplify]: Extracting #5: cost 90 inf + 6898 221.221 * * [simplify]: Extracting #6: cost 29 inf + 31206 221.228 * * [simplify]: Extracting #7: cost 0 inf + 51041 221.236 * * [simplify]: Extracting #8: cost 0 inf + 50739 221.244 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 221.244 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 221.244 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 221.245 * * [simplify]: iters left: 6 (15 enodes) 221.249 * * [simplify]: iters left: 5 (65 enodes) 221.261 * * [simplify]: iters left: 4 (109 enodes) 221.284 * * [simplify]: iters left: 3 (183 enodes) 221.356 * * [simplify]: iters left: 2 (374 enodes) 221.545 * * [simplify]: Extracting #0: cost 1 inf + 0 221.545 * * [simplify]: Extracting #1: cost 42 inf + 0 221.545 * * [simplify]: Extracting #2: cost 135 inf + 1 221.546 * * [simplify]: Extracting #3: cost 185 inf + 127 221.547 * * [simplify]: Extracting #4: cost 173 inf + 4077 221.552 * * [simplify]: Extracting #5: cost 90 inf + 29613 221.566 * * [simplify]: Extracting #6: cost 5 inf + 88299 221.589 * * [simplify]: Extracting #7: cost 0 inf + 89709 221.605 * * [simplify]: Extracting #8: cost 0 inf + 89628 221.620 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 221.620 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 221.621 * * * * [progress]: [ 215 / 307 ] simplifiying candidate # 221.621 * [simplify]: Simplifying (/ (sqrt 1) 1) 221.621 * * [simplify]: iters left: 3 (3 enodes) 221.625 * * [simplify]: iters left: 2 (9 enodes) 221.627 * * [simplify]: iters left: 1 (11 enodes) 221.630 * * [simplify]: Extracting #0: cost 1 inf + 0 221.630 * * [simplify]: Extracting #1: cost 0 inf + 1 221.630 * [simplify]: Simplified to 1 221.630 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 221.630 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 221.630 * * [simplify]: iters left: 6 (14 enodes) 221.641 * * [simplify]: iters left: 5 (59 enodes) 221.654 * * [simplify]: iters left: 4 (103 enodes) 221.671 * * [simplify]: iters left: 3 (167 enodes) 221.705 * * [simplify]: iters left: 2 (328 enodes) 221.821 * * [simplify]: Extracting #0: cost 1 inf + 0 221.821 * * [simplify]: Extracting #1: cost 55 inf + 0 221.822 * * [simplify]: Extracting #2: cost 154 inf + 1 221.823 * * [simplify]: Extracting #3: cost 200 inf + 168 221.826 * * [simplify]: Extracting #4: cost 186 inf + 3734 221.831 * * [simplify]: Extracting #5: cost 141 inf + 11840 221.842 * * [simplify]: Extracting #6: cost 45 inf + 71501 221.856 * * [simplify]: Extracting #7: cost 1 inf + 102846 221.870 * * [simplify]: Extracting #8: cost 0 inf + 101634 221.887 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 221.887 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 221.887 * * * * [progress]: [ 216 / 307 ] simplifiying candidate # 221.887 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 221.887 * * [simplify]: iters left: 3 (5 enodes) 221.890 * * [simplify]: iters left: 2 (17 enodes) 221.893 * * [simplify]: iters left: 1 (19 enodes) 221.896 * * [simplify]: Extracting #0: cost 1 inf + 0 221.896 * * [simplify]: Extracting #1: cost 4 inf + 0 221.896 * * [simplify]: Extracting #2: cost 5 inf + 1 221.896 * * [simplify]: Extracting #3: cost 0 inf + 248 221.896 * [simplify]: Simplified to (/ 1 (sqrt k)) 221.896 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 221.896 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 221.896 * * [simplify]: iters left: 6 (13 enodes) 221.900 * * [simplify]: iters left: 5 (56 enodes) 221.910 * * [simplify]: iters left: 4 (91 enodes) 221.924 * * [simplify]: iters left: 3 (141 enodes) 221.967 * * [simplify]: iters left: 2 (247 enodes) 222.035 * * [simplify]: Extracting #0: cost 1 inf + 0 222.035 * * [simplify]: Extracting #1: cost 29 inf + 0 222.035 * * [simplify]: Extracting #2: cost 99 inf + 2 222.036 * * [simplify]: Extracting #3: cost 136 inf + 174 222.036 * * [simplify]: Extracting #4: cost 129 inf + 680 222.038 * * [simplify]: Extracting #5: cost 86 inf + 6222 222.040 * * [simplify]: Extracting #6: cost 61 inf + 12328 222.045 * * [simplify]: Extracting #7: cost 11 inf + 44187 222.054 * * [simplify]: Extracting #8: cost 0 inf + 52402 222.066 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 222.066 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 222.066 * * * * [progress]: [ 217 / 307 ] simplifiying candidate # 222.066 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 222.066 * * [simplify]: iters left: 6 (13 enodes) 222.073 * * [simplify]: iters left: 5 (51 enodes) 222.082 * * [simplify]: iters left: 4 (88 enodes) 222.107 * * [simplify]: iters left: 3 (155 enodes) 222.172 * * [simplify]: iters left: 2 (306 enodes) 222.282 * * [simplify]: Extracting #0: cost 1 inf + 0 222.283 * * [simplify]: Extracting #1: cost 41 inf + 0 222.283 * * [simplify]: Extracting #2: cost 108 inf + 1 222.283 * * [simplify]: Extracting #3: cost 107 inf + 255 222.284 * * [simplify]: Extracting #4: cost 101 inf + 973 222.286 * * [simplify]: Extracting #5: cost 52 inf + 23081 222.292 * * [simplify]: Extracting #6: cost 0 inf + 54204 222.299 * [simplify]: Simplified to (/ (sqrt (* (* 2 PI) n)) (sqrt k)) 222.299 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 PI) n)) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2))))) 222.299 * [simplify]: Simplifying (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2))) 222.299 * * [simplify]: iters left: 6 (11 enodes) 222.303 * * [simplify]: iters left: 5 (42 enodes) 222.310 * * [simplify]: iters left: 4 (66 enodes) 222.328 * * [simplify]: iters left: 3 (101 enodes) 222.355 * * [simplify]: iters left: 2 (171 enodes) 222.385 * * [simplify]: iters left: 1 (319 enodes) 222.543 * * [simplify]: Extracting #0: cost 1 inf + 0 222.543 * * [simplify]: Extracting #1: cost 6 inf + 0 222.543 * * [simplify]: Extracting #2: cost 40 inf + 1 222.543 * * [simplify]: Extracting #3: cost 129 inf + 2 222.544 * * [simplify]: Extracting #4: cost 155 inf + 596 222.546 * * [simplify]: Extracting #5: cost 88 inf + 13042 222.552 * * [simplify]: Extracting #6: cost 20 inf + 52461 222.563 * * [simplify]: Extracting #7: cost 0 inf + 69011 222.573 * * [simplify]: Extracting #8: cost 0 inf + 68931 222.584 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 222.584 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 PI) n)) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 222.584 * * * * [progress]: [ 218 / 307 ] simplifiying candidate # 222.584 * [simplify]: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 222.584 * * [simplify]: iters left: 6 (15 enodes) 222.589 * * [simplify]: iters left: 5 (62 enodes) 222.599 * * [simplify]: iters left: 4 (99 enodes) 222.625 * * [simplify]: iters left: 3 (145 enodes) 222.672 * * [simplify]: iters left: 2 (236 enodes) 222.733 * * [simplify]: iters left: 1 (421 enodes) 222.917 * * [simplify]: Extracting #0: cost 1 inf + 0 222.917 * * [simplify]: Extracting #1: cost 6 inf + 0 222.917 * * [simplify]: Extracting #2: cost 9 inf + 1 222.917 * * [simplify]: Extracting #3: cost 14 inf + 1 222.917 * * [simplify]: Extracting #4: cost 44 inf + 1 222.918 * * [simplify]: Extracting #5: cost 133 inf + 3 222.919 * * [simplify]: Extracting #6: cost 176 inf + 426 222.921 * * [simplify]: Extracting #7: cost 117 inf + 11295 222.925 * * [simplify]: Extracting #8: cost 56 inf + 31948 222.938 * * [simplify]: Extracting #9: cost 6 inf + 69089 222.949 * * [simplify]: Extracting #10: cost 0 inf + 74430 222.964 * * [simplify]: Extracting #11: cost 0 inf + 74177 222.986 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 222.986 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 222.986 * [simplify]: Simplifying (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 222.986 * * [simplify]: iters left: 6 (14 enodes) 222.994 * * [simplify]: iters left: 5 (57 enodes) 223.012 * * [simplify]: iters left: 4 (92 enodes) 223.040 * * [simplify]: iters left: 3 (134 enodes) 223.067 * * [simplify]: iters left: 2 (220 enodes) 223.134 * * [simplify]: iters left: 1 (418 enodes) 223.347 * * [simplify]: Extracting #0: cost 1 inf + 0 223.347 * * [simplify]: Extracting #1: cost 4 inf + 0 223.347 * * [simplify]: Extracting #2: cost 5 inf + 1 223.347 * * [simplify]: Extracting #3: cost 10 inf + 1 223.347 * * [simplify]: Extracting #4: cost 50 inf + 1 223.348 * * [simplify]: Extracting #5: cost 150 inf + 3 223.349 * * [simplify]: Extracting #6: cost 191 inf + 1372 223.352 * * [simplify]: Extracting #7: cost 119 inf + 16209 223.365 * * [simplify]: Extracting #8: cost 20 inf + 70349 223.378 * * [simplify]: Extracting #9: cost 0 inf + 85971 223.402 * * [simplify]: Extracting #10: cost 0 inf + 84106 223.427 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 223.427 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))) 223.427 * * * * [progress]: [ 219 / 307 ] simplifiying candidate # 223.428 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 223.428 * * [simplify]: iters left: 6 (14 enodes) 223.435 * * [simplify]: iters left: 5 (57 enodes) 223.454 * * [simplify]: iters left: 4 (92 enodes) 223.482 * * [simplify]: iters left: 3 (134 enodes) 223.528 * * [simplify]: iters left: 2 (220 enodes) 223.593 * * [simplify]: iters left: 1 (418 enodes) 223.771 * * [simplify]: Extracting #0: cost 1 inf + 0 223.771 * * [simplify]: Extracting #1: cost 4 inf + 0 223.771 * * [simplify]: Extracting #2: cost 5 inf + 1 223.771 * * [simplify]: Extracting #3: cost 10 inf + 1 223.771 * * [simplify]: Extracting #4: cost 50 inf + 1 223.772 * * [simplify]: Extracting #5: cost 150 inf + 3 223.774 * * [simplify]: Extracting #6: cost 191 inf + 1372 223.780 * * [simplify]: Extracting #7: cost 119 inf + 16089 223.797 * * [simplify]: Extracting #8: cost 20 inf + 70189 223.827 * * [simplify]: Extracting #9: cost 0 inf + 85811 223.853 * * [simplify]: Extracting #10: cost 0 inf + 83946 223.879 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 223.879 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 223.879 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 223.879 * * [simplify]: iters left: 6 (14 enodes) 223.888 * * [simplify]: iters left: 5 (57 enodes) 223.906 * * [simplify]: iters left: 4 (92 enodes) 223.934 * * [simplify]: iters left: 3 (134 enodes) 223.980 * * [simplify]: iters left: 2 (220 enodes) 224.061 * * [simplify]: iters left: 1 (418 enodes) 224.250 * * [simplify]: Extracting #0: cost 1 inf + 0 224.250 * * [simplify]: Extracting #1: cost 4 inf + 0 224.250 * * [simplify]: Extracting #2: cost 5 inf + 1 224.250 * * [simplify]: Extracting #3: cost 10 inf + 1 224.250 * * [simplify]: Extracting #4: cost 50 inf + 1 224.251 * * [simplify]: Extracting #5: cost 150 inf + 3 224.252 * * [simplify]: Extracting #6: cost 191 inf + 1372 224.255 * * [simplify]: Extracting #7: cost 119 inf + 16089 224.263 * * [simplify]: Extracting #8: cost 20 inf + 70189 224.287 * * [simplify]: Extracting #9: cost 0 inf + 85811 224.301 * * [simplify]: Extracting #10: cost 0 inf + 83946 224.314 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 224.314 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))) 224.315 * * * * [progress]: [ 220 / 307 ] simplifiying candidate # 224.315 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 224.315 * * [simplify]: iters left: 6 (12 enodes) 224.319 * * [simplify]: iters left: 5 (51 enodes) 224.336 * * [simplify]: iters left: 4 (95 enodes) 224.369 * * [simplify]: iters left: 3 (186 enodes) 224.457 * * [simplify]: iters left: 2 (447 enodes) 224.751 * * [simplify]: Extracting #0: cost 1 inf + 0 224.751 * * [simplify]: Extracting #1: cost 93 inf + 0 224.753 * * [simplify]: Extracting #2: cost 266 inf + 1 224.755 * * [simplify]: Extracting #3: cost 329 inf + 4 224.759 * * [simplify]: Extracting #4: cost 301 inf + 11072 224.777 * * [simplify]: Extracting #5: cost 170 inf + 67868 224.821 * * [simplify]: Extracting #6: cost 25 inf + 166495 224.879 * * [simplify]: Extracting #7: cost 0 inf + 185694 224.918 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 224.918 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 224.918 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 224.918 * * [simplify]: iters left: 6 (12 enodes) 224.922 * * [simplify]: iters left: 5 (50 enodes) 224.930 * * [simplify]: iters left: 4 (84 enodes) 224.957 * * [simplify]: iters left: 3 (140 enodes) 225.002 * * [simplify]: iters left: 2 (294 enodes) 225.094 * * [simplify]: Extracting #0: cost 1 inf + 0 225.094 * * [simplify]: Extracting #1: cost 40 inf + 0 225.095 * * [simplify]: Extracting #2: cost 122 inf + 1 225.096 * * [simplify]: Extracting #3: cost 171 inf + 3 225.097 * * [simplify]: Extracting #4: cost 174 inf + 585 225.101 * * [simplify]: Extracting #5: cost 130 inf + 8767 225.111 * * [simplify]: Extracting #6: cost 59 inf + 41915 225.131 * * [simplify]: Extracting #7: cost 4 inf + 79662 225.152 * * [simplify]: Extracting #8: cost 0 inf + 82606 225.167 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 225.167 * [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))))) 225.167 * * * * [progress]: [ 221 / 307 ] simplifiying candidate # 225.168 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 225.168 * * [simplify]: iters left: 6 (17 enodes) 225.173 * * [simplify]: iters left: 5 (74 enodes) 225.188 * * [simplify]: iters left: 4 (132 enodes) 225.226 * * [simplify]: iters left: 3 (208 enodes) 225.278 * * [simplify]: iters left: 2 (355 enodes) 225.367 * * [simplify]: Extracting #0: cost 1 inf + 0 225.367 * * [simplify]: Extracting #1: cost 17 inf + 0 225.367 * * [simplify]: Extracting #2: cost 31 inf + 1 225.367 * * [simplify]: Extracting #3: cost 46 inf + 1 225.368 * * [simplify]: Extracting #4: cost 94 inf + 3 225.368 * * [simplify]: Extracting #5: cost 114 inf + 1434 225.373 * * [simplify]: Extracting #6: cost 57 inf + 14910 225.383 * * [simplify]: Extracting #7: cost 12 inf + 33969 225.397 * * [simplify]: Extracting #8: cost 0 inf + 41677 225.407 * * [simplify]: Extracting #9: cost 0 inf + 41153 225.414 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 225.414 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 225.414 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 225.414 * * [simplify]: iters left: 6 (15 enodes) 225.419 * * [simplify]: iters left: 5 (62 enodes) 225.429 * * [simplify]: iters left: 4 (96 enodes) 225.456 * * [simplify]: iters left: 3 (138 enodes) 225.488 * * [simplify]: iters left: 2 (246 enodes) 225.551 * * [simplify]: iters left: 1 (420 enodes) 225.746 * * [simplify]: Extracting #0: cost 1 inf + 0 225.746 * * [simplify]: Extracting #1: cost 7 inf + 0 225.746 * * [simplify]: Extracting #2: cost 12 inf + 1 225.746 * * [simplify]: Extracting #3: cost 41 inf + 1 225.746 * * [simplify]: Extracting #4: cost 120 inf + 3 225.747 * * [simplify]: Extracting #5: cost 164 inf + 834 225.750 * * [simplify]: Extracting #6: cost 96 inf + 14556 225.756 * * [simplify]: Extracting #7: cost 30 inf + 43326 225.766 * * [simplify]: Extracting #8: cost 1 inf + 67373 225.777 * * [simplify]: Extracting #9: cost 0 inf + 66996 225.790 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (sqrt k))) 225.790 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (sqrt k))))) 225.790 * * * * [progress]: [ 222 / 307 ] simplifiying candidate # 225.790 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 225.791 * * [simplify]: iters left: 6 (16 enodes) 225.799 * * [simplify]: iters left: 5 (67 enodes) 225.824 * * [simplify]: iters left: 4 (109 enodes) 225.857 * * [simplify]: iters left: 3 (167 enodes) 225.901 * * [simplify]: iters left: 2 (292 enodes) 225.991 * * [simplify]: iters left: 1 (467 enodes) 226.191 * * [simplify]: Extracting #0: cost 1 inf + 0 226.191 * * [simplify]: Extracting #1: cost 12 inf + 0 226.191 * * [simplify]: Extracting #2: cost 22 inf + 1 226.191 * * [simplify]: Extracting #3: cost 54 inf + 1 226.192 * * [simplify]: Extracting #4: cost 142 inf + 3 226.193 * * [simplify]: Extracting #5: cost 167 inf + 2268 226.196 * * [simplify]: Extracting #6: cost 86 inf + 22206 226.206 * * [simplify]: Extracting #7: cost 8 inf + 62665 226.219 * * [simplify]: Extracting #8: cost 0 inf + 68823 226.237 * * [simplify]: Extracting #9: cost 0 inf + 68783 226.249 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 226.249 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 226.250 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 226.250 * * [simplify]: iters left: 6 (15 enodes) 226.254 * * [simplify]: iters left: 5 (62 enodes) 226.274 * * [simplify]: iters left: 4 (97 enodes) 226.303 * * [simplify]: iters left: 3 (142 enodes) 226.353 * * [simplify]: iters left: 2 (256 enodes) 226.444 * * [simplify]: iters left: 1 (438 enodes) 226.629 * * [simplify]: Extracting #0: cost 1 inf + 0 226.629 * * [simplify]: Extracting #1: cost 7 inf + 0 226.629 * * [simplify]: Extracting #2: cost 13 inf + 1 226.629 * * [simplify]: Extracting #3: cost 47 inf + 1 226.630 * * [simplify]: Extracting #4: cost 132 inf + 3 226.632 * * [simplify]: Extracting #5: cost 178 inf + 1326 226.636 * * [simplify]: Extracting #6: cost 113 inf + 11798 226.648 * * [simplify]: Extracting #7: cost 45 inf + 30681 226.662 * * [simplify]: Extracting #8: cost 4 inf + 64142 226.673 * * [simplify]: Extracting #9: cost 0 inf + 67068 226.685 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 226.685 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 226.685 * * * * [progress]: [ 223 / 307 ] simplifiying candidate # 226.686 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 226.686 * * [simplify]: iters left: 6 (7 enodes) 226.689 * * [simplify]: iters left: 5 (25 enodes) 226.698 * * [simplify]: iters left: 4 (38 enodes) 226.704 * * [simplify]: iters left: 3 (42 enodes) 226.710 * * [simplify]: Extracting #0: cost 1 inf + 0 226.710 * * [simplify]: Extracting #1: cost 6 inf + 0 226.710 * * [simplify]: Extracting #2: cost 9 inf + 1 226.710 * * [simplify]: Extracting #3: cost 11 inf + 1 226.710 * * [simplify]: Extracting #4: cost 10 inf + 2 226.710 * * [simplify]: Extracting #5: cost 2 inf + 1093 226.710 * * [simplify]: Extracting #6: cost 0 inf + 1376 226.711 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 226.711 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 226.711 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 226.711 * * [simplify]: iters left: 6 (14 enodes) 226.717 * * [simplify]: iters left: 5 (59 enodes) 226.728 * * [simplify]: iters left: 4 (101 enodes) 226.753 * * [simplify]: iters left: 3 (158 enodes) 226.794 * * [simplify]: iters left: 2 (310 enodes) 226.892 * * [simplify]: Extracting #0: cost 1 inf + 0 226.892 * * [simplify]: Extracting #1: cost 49 inf + 0 226.893 * * [simplify]: Extracting #2: cost 133 inf + 1 226.894 * * [simplify]: Extracting #3: cost 184 inf + 3 226.896 * * [simplify]: Extracting #4: cost 168 inf + 4104 226.903 * * [simplify]: Extracting #5: cost 102 inf + 26311 226.913 * * [simplify]: Extracting #6: cost 20 inf + 80701 226.926 * * [simplify]: Extracting #7: cost 0 inf + 95863 226.941 * * [simplify]: Extracting #8: cost 0 inf + 93596 226.969 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (cbrt (sqrt k))) 226.969 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 226.969 * * * * [progress]: [ 224 / 307 ] simplifiying candidate # 226.969 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 226.969 * * [simplify]: iters left: 6 (16 enodes) 226.979 * * [simplify]: iters left: 5 (70 enodes) 226.994 * * [simplify]: iters left: 4 (125 enodes) 227.020 * * [simplify]: iters left: 3 (234 enodes) 227.121 * * [simplify]: Extracting #0: cost 1 inf + 0 227.121 * * [simplify]: Extracting #1: cost 32 inf + 0 227.121 * * [simplify]: Extracting #2: cost 100 inf + 1 227.122 * * [simplify]: Extracting #3: cost 144 inf + 2 227.122 * * [simplify]: Extracting #4: cost 143 inf + 706 227.124 * * [simplify]: Extracting #5: cost 86 inf + 11932 227.130 * * [simplify]: Extracting #6: cost 14 inf + 46608 227.143 * * [simplify]: Extracting #7: cost 0 inf + 57375 227.160 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 227.160 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 227.161 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 227.161 * * [simplify]: iters left: 6 (15 enodes) 227.169 * * [simplify]: iters left: 5 (65 enodes) 227.190 * * [simplify]: iters left: 4 (107 enodes) 227.220 * * [simplify]: iters left: 3 (174 enodes) 227.262 * * [simplify]: iters left: 2 (352 enodes) 227.393 * * [simplify]: Extracting #0: cost 1 inf + 0 227.393 * * [simplify]: Extracting #1: cost 49 inf + 0 227.394 * * [simplify]: Extracting #2: cost 130 inf + 1 227.395 * * [simplify]: Extracting #3: cost 184 inf + 3 227.396 * * [simplify]: Extracting #4: cost 171 inf + 4029 227.402 * * [simplify]: Extracting #5: cost 85 inf + 36543 227.428 * * [simplify]: Extracting #6: cost 3 inf + 92594 227.454 * * [simplify]: Extracting #7: cost 0 inf + 92483 227.468 * * [simplify]: Extracting #8: cost 0 inf + 92443 227.486 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (cbrt (sqrt k))) 227.486 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (cbrt (sqrt k))))) 227.486 * * * * [progress]: [ 225 / 307 ] simplifiying candidate # 227.486 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 227.486 * * [simplify]: iters left: 6 (12 enodes) 227.490 * * [simplify]: iters left: 5 (50 enodes) 227.499 * * [simplify]: iters left: 4 (84 enodes) 227.514 * * [simplify]: iters left: 3 (136 enodes) 227.571 * * [simplify]: iters left: 2 (285 enodes) 227.690 * * [simplify]: Extracting #0: cost 1 inf + 0 227.690 * * [simplify]: Extracting #1: cost 46 inf + 0 227.691 * * [simplify]: Extracting #2: cost 130 inf + 1 227.692 * * [simplify]: Extracting #3: cost 175 inf + 4 227.694 * * [simplify]: Extracting #4: cost 173 inf + 871 227.697 * * [simplify]: Extracting #5: cost 129 inf + 8821 227.708 * * [simplify]: Extracting #6: cost 42 inf + 52243 227.729 * * [simplify]: Extracting #7: cost 1 inf + 81140 227.749 * * [simplify]: Extracting #8: cost 0 inf + 81414 227.760 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 227.760 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 227.760 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 227.760 * * [simplify]: iters left: 6 (12 enodes) 227.764 * * [simplify]: iters left: 5 (50 enodes) 227.773 * * [simplify]: iters left: 4 (84 enodes) 227.794 * * [simplify]: iters left: 3 (140 enodes) 227.849 * * [simplify]: iters left: 2 (294 enodes) 227.977 * * [simplify]: Extracting #0: cost 1 inf + 0 227.977 * * [simplify]: Extracting #1: cost 40 inf + 0 227.978 * * [simplify]: Extracting #2: cost 122 inf + 1 227.978 * * [simplify]: Extracting #3: cost 171 inf + 3 227.979 * * [simplify]: Extracting #4: cost 174 inf + 625 227.981 * * [simplify]: Extracting #5: cost 130 inf + 8847 227.986 * * [simplify]: Extracting #6: cost 59 inf + 41995 228.001 * * [simplify]: Extracting #7: cost 4 inf + 79742 228.018 * * [simplify]: Extracting #8: cost 0 inf + 82686 228.029 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 228.029 * [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))))) 228.029 * * * * [progress]: [ 226 / 307 ] simplifiying candidate # 228.030 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 228.030 * * [simplify]: iters left: 6 (17 enodes) 228.035 * * [simplify]: iters left: 5 (71 enodes) 228.048 * * [simplify]: iters left: 4 (111 enodes) 228.083 * * [simplify]: iters left: 3 (164 enodes) 228.144 * * [simplify]: iters left: 2 (280 enodes) 228.214 * * [simplify]: iters left: 1 (471 enodes) 228.371 * * [simplify]: Extracting #0: cost 1 inf + 0 228.371 * * [simplify]: Extracting #1: cost 10 inf + 0 228.371 * * [simplify]: Extracting #2: cost 19 inf + 1 228.371 * * [simplify]: Extracting #3: cost 52 inf + 1 228.372 * * [simplify]: Extracting #4: cost 129 inf + 3 228.373 * * [simplify]: Extracting #5: cost 187 inf + 825 228.374 * * [simplify]: Extracting #6: cost 139 inf + 5986 228.378 * * [simplify]: Extracting #7: cost 70 inf + 20397 228.387 * * [simplify]: Extracting #8: cost 17 inf + 61961 228.399 * * [simplify]: Extracting #9: cost 0 inf + 77683 228.420 * * [simplify]: Extracting #10: cost 0 inf + 77429 228.432 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt k))) 228.432 * [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 k))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 228.432 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 228.432 * * [simplify]: iters left: 6 (15 enodes) 228.437 * * [simplify]: iters left: 5 (62 enodes) 228.448 * * [simplify]: iters left: 4 (96 enodes) 228.474 * * [simplify]: iters left: 3 (138 enodes) 228.506 * * [simplify]: iters left: 2 (246 enodes) 228.555 * * [simplify]: iters left: 1 (420 enodes) 228.689 * * [simplify]: Extracting #0: cost 1 inf + 0 228.689 * * [simplify]: Extracting #1: cost 7 inf + 0 228.689 * * [simplify]: Extracting #2: cost 12 inf + 1 228.689 * * [simplify]: Extracting #3: cost 41 inf + 1 228.689 * * [simplify]: Extracting #4: cost 120 inf + 3 228.690 * * [simplify]: Extracting #5: cost 164 inf + 874 228.693 * * [simplify]: Extracting #6: cost 96 inf + 14636 228.703 * * [simplify]: Extracting #7: cost 30 inf + 43406 228.721 * * [simplify]: Extracting #8: cost 1 inf + 67453 228.732 * * [simplify]: Extracting #9: cost 0 inf + 67076 228.743 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (cbrt k))) 228.743 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (cbrt k))))) 228.743 * * * * [progress]: [ 227 / 307 ] simplifiying candidate # 228.743 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 228.744 * * [simplify]: iters left: 6 (16 enodes) 228.748 * * [simplify]: iters left: 5 (66 enodes) 228.761 * * [simplify]: iters left: 4 (101 enodes) 228.777 * * [simplify]: iters left: 3 (146 enodes) 228.809 * * [simplify]: iters left: 2 (257 enodes) 228.879 * * [simplify]: iters left: 1 (420 enodes) 228.997 * * [simplify]: Extracting #0: cost 1 inf + 0 228.997 * * [simplify]: Extracting #1: cost 7 inf + 0 228.997 * * [simplify]: Extracting #2: cost 14 inf + 1 228.998 * * [simplify]: Extracting #3: cost 46 inf + 1 228.998 * * [simplify]: Extracting #4: cost 127 inf + 3 229.000 * * [simplify]: Extracting #5: cost 176 inf + 1161 229.005 * * [simplify]: Extracting #6: cost 104 inf + 12788 229.023 * * [simplify]: Extracting #7: cost 21 inf + 45385 229.042 * * [simplify]: Extracting #8: cost 0 inf + 64512 229.062 * * [simplify]: Extracting #9: cost 0 inf + 64272 229.081 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt k))) 229.081 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 229.081 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 229.081 * * [simplify]: iters left: 6 (15 enodes) 229.089 * * [simplify]: iters left: 5 (62 enodes) 229.099 * * [simplify]: iters left: 4 (97 enodes) 229.115 * * [simplify]: iters left: 3 (142 enodes) 229.154 * * [simplify]: iters left: 2 (256 enodes) 229.201 * * [simplify]: iters left: 1 (438 enodes) 229.372 * * [simplify]: Extracting #0: cost 1 inf + 0 229.372 * * [simplify]: Extracting #1: cost 7 inf + 0 229.373 * * [simplify]: Extracting #2: cost 13 inf + 1 229.373 * * [simplify]: Extracting #3: cost 47 inf + 1 229.374 * * [simplify]: Extracting #4: cost 132 inf + 3 229.375 * * [simplify]: Extracting #5: cost 178 inf + 1366 229.380 * * [simplify]: Extracting #6: cost 113 inf + 11878 229.386 * * [simplify]: Extracting #7: cost 45 inf + 30761 229.395 * * [simplify]: Extracting #8: cost 4 inf + 64222 229.409 * * [simplify]: Extracting #9: cost 0 inf + 67148 229.420 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 229.420 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 229.420 * * * * [progress]: [ 228 / 307 ] simplifiying candidate # 229.421 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 229.421 * * [simplify]: iters left: 6 (7 enodes) 229.423 * * [simplify]: iters left: 5 (23 enodes) 229.430 * * [simplify]: iters left: 4 (29 enodes) 229.437 * * [simplify]: Extracting #0: cost 1 inf + 0 229.437 * * [simplify]: Extracting #1: cost 4 inf + 0 229.437 * * [simplify]: Extracting #2: cost 6 inf + 1 229.437 * * [simplify]: Extracting #3: cost 9 inf + 1 229.438 * * [simplify]: Extracting #4: cost 8 inf + 2 229.438 * * [simplify]: Extracting #5: cost 2 inf + 689 229.438 * * [simplify]: Extracting #6: cost 0 inf + 972 229.438 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 229.438 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 229.439 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 229.439 * * [simplify]: iters left: 6 (14 enodes) 229.447 * * [simplify]: iters left: 5 (59 enodes) 229.467 * * [simplify]: iters left: 4 (101 enodes) 229.497 * * [simplify]: iters left: 3 (158 enodes) 229.532 * * [simplify]: iters left: 2 (310 enodes) 229.640 * * [simplify]: Extracting #0: cost 1 inf + 0 229.640 * * [simplify]: Extracting #1: cost 49 inf + 0 229.641 * * [simplify]: Extracting #2: cost 133 inf + 1 229.642 * * [simplify]: Extracting #3: cost 184 inf + 3 229.644 * * [simplify]: Extracting #4: cost 168 inf + 4144 229.651 * * [simplify]: Extracting #5: cost 102 inf + 26391 229.661 * * [simplify]: Extracting #6: cost 20 inf + 80781 229.674 * * [simplify]: Extracting #7: cost 0 inf + 95943 229.692 * * [simplify]: Extracting #8: cost 0 inf + 93676 229.724 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (cbrt k))) 229.724 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 229.725 * * * * [progress]: [ 229 / 307 ] simplifiying candidate # 229.725 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 229.725 * * [simplify]: iters left: 6 (16 enodes) 229.734 * * [simplify]: iters left: 5 (69 enodes) 229.757 * * [simplify]: iters left: 4 (111 enodes) 229.794 * * [simplify]: iters left: 3 (178 enodes) 229.860 * * [simplify]: iters left: 2 (354 enodes) 229.990 * * [simplify]: Extracting #0: cost 1 inf + 0 229.990 * * [simplify]: Extracting #1: cost 39 inf + 0 229.991 * * [simplify]: Extracting #2: cost 119 inf + 1 229.992 * * [simplify]: Extracting #3: cost 175 inf + 3 229.993 * * [simplify]: Extracting #4: cost 182 inf + 711 229.997 * * [simplify]: Extracting #5: cost 134 inf + 11291 230.010 * * [simplify]: Extracting #6: cost 49 inf + 49694 230.028 * * [simplify]: Extracting #7: cost 3 inf + 85206 230.041 * * [simplify]: Extracting #8: cost 0 inf + 86723 230.062 * * [simplify]: Extracting #9: cost 0 inf + 86484 230.088 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 230.088 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 230.089 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 230.089 * * [simplify]: iters left: 6 (15 enodes) 230.093 * * [simplify]: iters left: 5 (65 enodes) 230.104 * * [simplify]: iters left: 4 (107 enodes) 230.125 * * [simplify]: iters left: 3 (174 enodes) 230.167 * * [simplify]: iters left: 2 (352 enodes) 230.271 * * [simplify]: Extracting #0: cost 1 inf + 0 230.271 * * [simplify]: Extracting #1: cost 49 inf + 0 230.272 * * [simplify]: Extracting #2: cost 130 inf + 1 230.273 * * [simplify]: Extracting #3: cost 184 inf + 3 230.276 * * [simplify]: Extracting #4: cost 171 inf + 4109 230.285 * * [simplify]: Extracting #5: cost 85 inf + 36623 230.303 * * [simplify]: Extracting #6: cost 3 inf + 92674 230.317 * * [simplify]: Extracting #7: cost 0 inf + 92563 230.333 * * [simplify]: Extracting #8: cost 0 inf + 92523 230.349 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (cbrt k))) 230.350 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (cbrt k))))) 230.350 * * * * [progress]: [ 230 / 307 ] simplifiying candidate # 230.350 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 230.350 * * [simplify]: iters left: 6 (11 enodes) 230.354 * * [simplify]: iters left: 5 (46 enodes) 230.362 * * [simplify]: iters left: 4 (76 enodes) 230.375 * * [simplify]: iters left: 3 (133 enodes) 230.405 * * [simplify]: iters left: 2 (300 enodes) 230.543 * * [simplify]: Extracting #0: cost 1 inf + 0 230.543 * * [simplify]: Extracting #1: cost 41 inf + 0 230.544 * * [simplify]: Extracting #2: cost 122 inf + 1 230.545 * * [simplify]: Extracting #3: cost 169 inf + 4 230.547 * * [simplify]: Extracting #4: cost 166 inf + 1511 230.550 * * [simplify]: Extracting #5: cost 127 inf + 9270 230.566 * * [simplify]: Extracting #6: cost 27 inf + 61104 230.586 * * [simplify]: Extracting #7: cost 0 inf + 79521 230.599 * * [simplify]: Extracting #8: cost 0 inf + 78441 230.610 * * [simplify]: Extracting #9: cost 0 inf + 78400 230.620 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 230.620 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 230.620 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 230.620 * * [simplify]: iters left: 6 (12 enodes) 230.624 * * [simplify]: iters left: 5 (50 enodes) 230.637 * * [simplify]: iters left: 4 (84 enodes) 230.663 * * [simplify]: iters left: 3 (140 enodes) 230.694 * * [simplify]: iters left: 2 (294 enodes) 230.822 * * [simplify]: Extracting #0: cost 1 inf + 0 230.822 * * [simplify]: Extracting #1: cost 40 inf + 0 230.823 * * [simplify]: Extracting #2: cost 122 inf + 1 230.824 * * [simplify]: Extracting #3: cost 171 inf + 3 230.825 * * [simplify]: Extracting #4: cost 174 inf + 505 230.828 * * [simplify]: Extracting #5: cost 130 inf + 8407 230.838 * * [simplify]: Extracting #6: cost 59 inf + 40635 230.858 * * [simplify]: Extracting #7: cost 4 inf + 76862 230.879 * * [simplify]: Extracting #8: cost 0 inf + 79686 230.898 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 230.898 * [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))))) 230.898 * * * * [progress]: [ 231 / 307 ] simplifiying candidate # 230.898 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 230.899 * * [simplify]: iters left: 6 (16 enodes) 230.903 * * [simplify]: iters left: 5 (67 enodes) 230.917 * * [simplify]: iters left: 4 (107 enodes) 230.938 * * [simplify]: iters left: 3 (157 enodes) 230.969 * * [simplify]: iters left: 2 (268 enodes) 231.061 * * [simplify]: iters left: 1 (444 enodes) 231.262 * * [simplify]: Extracting #0: cost 1 inf + 0 231.262 * * [simplify]: Extracting #1: cost 10 inf + 0 231.262 * * [simplify]: Extracting #2: cost 18 inf + 1 231.262 * * [simplify]: Extracting #3: cost 46 inf + 1 231.262 * * [simplify]: Extracting #4: cost 123 inf + 3 231.263 * * [simplify]: Extracting #5: cost 174 inf + 1169 231.266 * * [simplify]: Extracting #6: cost 91 inf + 18866 231.274 * * [simplify]: Extracting #7: cost 22 inf + 53040 231.285 * * [simplify]: Extracting #8: cost 0 inf + 73494 231.306 * * [simplify]: Extracting #9: cost 0 inf + 73455 231.327 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 231.327 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 231.327 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 231.328 * * [simplify]: iters left: 6 (15 enodes) 231.334 * * [simplify]: iters left: 5 (62 enodes) 231.344 * * [simplify]: iters left: 4 (96 enodes) 231.361 * * [simplify]: iters left: 3 (138 enodes) 231.390 * * [simplify]: iters left: 2 (246 enodes) 231.462 * * [simplify]: iters left: 1 (420 enodes) 231.620 * * [simplify]: Extracting #0: cost 1 inf + 0 231.620 * * [simplify]: Extracting #1: cost 7 inf + 0 231.620 * * [simplify]: Extracting #2: cost 12 inf + 1 231.621 * * [simplify]: Extracting #3: cost 41 inf + 1 231.621 * * [simplify]: Extracting #4: cost 120 inf + 3 231.623 * * [simplify]: Extracting #5: cost 164 inf + 754 231.627 * * [simplify]: Extracting #6: cost 96 inf + 14276 231.639 * * [simplify]: Extracting #7: cost 30 inf + 43006 231.660 * * [simplify]: Extracting #8: cost 1 inf + 67053 231.675 * * [simplify]: Extracting #9: cost 0 inf + 66676 231.685 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 231.685 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 231.685 * * * * [progress]: [ 232 / 307 ] simplifiying candidate # 231.686 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 231.686 * * [simplify]: iters left: 6 (15 enodes) 231.690 * * [simplify]: iters left: 5 (62 enodes) 231.699 * * [simplify]: iters left: 4 (97 enodes) 231.714 * * [simplify]: iters left: 3 (142 enodes) 231.747 * * [simplify]: iters left: 2 (256 enodes) 231.797 * * [simplify]: iters left: 1 (438 enodes) 231.987 * * [simplify]: Extracting #0: cost 1 inf + 0 231.987 * * [simplify]: Extracting #1: cost 7 inf + 0 231.987 * * [simplify]: Extracting #2: cost 13 inf + 1 231.987 * * [simplify]: Extracting #3: cost 47 inf + 1 231.988 * * [simplify]: Extracting #4: cost 132 inf + 3 231.989 * * [simplify]: Extracting #5: cost 178 inf + 1206 231.991 * * [simplify]: Extracting #6: cost 113 inf + 11518 231.997 * * [simplify]: Extracting #7: cost 45 inf + 30361 232.006 * * [simplify]: Extracting #8: cost 4 inf + 63822 232.029 * * [simplify]: Extracting #9: cost 0 inf + 66748 232.046 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 232.046 * [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 (* n (* 2 PI)) (/ (- 1 k) 2))))))) 232.047 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 232.047 * * [simplify]: iters left: 6 (15 enodes) 232.051 * * [simplify]: iters left: 5 (62 enodes) 232.061 * * [simplify]: iters left: 4 (97 enodes) 232.075 * * [simplify]: iters left: 3 (142 enodes) 232.121 * * [simplify]: iters left: 2 (256 enodes) 232.211 * * [simplify]: iters left: 1 (438 enodes) 232.371 * * [simplify]: Extracting #0: cost 1 inf + 0 232.371 * * [simplify]: Extracting #1: cost 7 inf + 0 232.371 * * [simplify]: Extracting #2: cost 13 inf + 1 232.371 * * [simplify]: Extracting #3: cost 47 inf + 1 232.372 * * [simplify]: Extracting #4: cost 132 inf + 3 232.374 * * [simplify]: Extracting #5: cost 178 inf + 1206 232.378 * * [simplify]: Extracting #6: cost 113 inf + 11518 232.390 * * [simplify]: Extracting #7: cost 45 inf + 30361 232.400 * * [simplify]: Extracting #8: cost 4 inf + 63822 232.411 * * [simplify]: Extracting #9: cost 0 inf + 66748 232.426 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 232.426 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 232.426 * * * * [progress]: [ 233 / 307 ] simplifiying candidate # 232.426 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 232.427 * * [simplify]: iters left: 6 (6 enodes) 232.430 * * [simplify]: iters left: 5 (20 enodes) 232.434 * * [simplify]: iters left: 4 (24 enodes) 232.438 * * [simplify]: iters left: 3 (25 enodes) 232.444 * * [simplify]: Extracting #0: cost 1 inf + 0 232.444 * * [simplify]: Extracting #1: cost 4 inf + 0 232.444 * * [simplify]: Extracting #2: cost 5 inf + 1 232.444 * * [simplify]: Extracting #3: cost 7 inf + 1 232.444 * * [simplify]: Extracting #4: cost 6 inf + 2 232.444 * * [simplify]: Extracting #5: cost 0 inf + 490 232.444 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 232.444 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 232.445 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 232.445 * * [simplify]: iters left: 6 (14 enodes) 232.449 * * [simplify]: iters left: 5 (59 enodes) 232.459 * * [simplify]: iters left: 4 (101 enodes) 232.476 * * [simplify]: iters left: 3 (158 enodes) 232.523 * * [simplify]: iters left: 2 (310 enodes) 232.647 * * [simplify]: Extracting #0: cost 1 inf + 0 232.647 * * [simplify]: Extracting #1: cost 49 inf + 0 232.647 * * [simplify]: Extracting #2: cost 133 inf + 1 232.648 * * [simplify]: Extracting #3: cost 184 inf + 3 232.649 * * [simplify]: Extracting #4: cost 168 inf + 3864 232.653 * * [simplify]: Extracting #5: cost 102 inf + 25471 232.666 * * [simplify]: Extracting #6: cost 20 inf + 78381 232.686 * * [simplify]: Extracting #7: cost 0 inf + 92783 232.700 * * [simplify]: Extracting #8: cost 0 inf + 90516 232.720 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) 232.720 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 232.720 * * * * [progress]: [ 234 / 307 ] simplifiying candidate # 232.720 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 232.721 * * [simplify]: iters left: 6 (15 enodes) 232.729 * * [simplify]: iters left: 5 (65 enodes) 232.741 * * [simplify]: iters left: 4 (107 enodes) 232.764 * * [simplify]: iters left: 3 (174 enodes) 232.830 * * [simplify]: iters left: 2 (352 enodes) 232.967 * * [simplify]: Extracting #0: cost 1 inf + 0 232.967 * * [simplify]: Extracting #1: cost 49 inf + 0 232.968 * * [simplify]: Extracting #2: cost 130 inf + 1 232.973 * * [simplify]: Extracting #3: cost 184 inf + 3 232.975 * * [simplify]: Extracting #4: cost 171 inf + 3869 232.985 * * [simplify]: Extracting #5: cost 85 inf + 35623 233.012 * * [simplify]: Extracting #6: cost 3 inf + 89634 233.032 * * [simplify]: Extracting #7: cost 0 inf + 89523 233.047 * * [simplify]: Extracting #8: cost 0 inf + 89483 233.061 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 233.061 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 233.061 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 233.061 * * [simplify]: iters left: 6 (15 enodes) 233.066 * * [simplify]: iters left: 5 (65 enodes) 233.077 * * [simplify]: iters left: 4 (107 enodes) 233.098 * * [simplify]: iters left: 3 (174 enodes) 233.159 * * [simplify]: iters left: 2 (352 enodes) 233.278 * * [simplify]: Extracting #0: cost 1 inf + 0 233.278 * * [simplify]: Extracting #1: cost 49 inf + 0 233.279 * * [simplify]: Extracting #2: cost 130 inf + 1 233.279 * * [simplify]: Extracting #3: cost 184 inf + 3 233.283 * * [simplify]: Extracting #4: cost 171 inf + 3869 233.288 * * [simplify]: Extracting #5: cost 85 inf + 35623 233.313 * * [simplify]: Extracting #6: cost 3 inf + 89634 233.341 * * [simplify]: Extracting #7: cost 0 inf + 89523 233.370 * * [simplify]: Extracting #8: cost 0 inf + 89483 233.391 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 233.391 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 233.391 * * * * [progress]: [ 235 / 307 ] simplifiying candidate # 233.392 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 233.392 * * [simplify]: iters left: 6 (10 enodes) 233.395 * * [simplify]: iters left: 5 (43 enodes) 233.403 * * [simplify]: iters left: 4 (68 enodes) 233.418 * * [simplify]: iters left: 3 (113 enodes) 233.460 * * [simplify]: iters left: 2 (234 enodes) 233.559 * * [simplify]: iters left: 1 (492 enodes) 233.891 * * [simplify]: Extracting #0: cost 1 inf + 0 233.891 * * [simplify]: Extracting #1: cost 48 inf + 0 233.892 * * [simplify]: Extracting #2: cost 187 inf + 3 233.894 * * [simplify]: Extracting #3: cost 257 inf + 8 233.897 * * [simplify]: Extracting #4: cost 258 inf + 184 233.907 * * [simplify]: Extracting #5: cost 179 inf + 12651 233.928 * * [simplify]: Extracting #6: cost 52 inf + 75348 233.962 * * [simplify]: Extracting #7: cost 0 inf + 113335 233.988 * * [simplify]: Extracting #8: cost 0 inf + 112671 234.006 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 234.006 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 234.006 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 234.006 * * [simplify]: iters left: 6 (11 enodes) 234.010 * * [simplify]: iters left: 5 (47 enodes) 234.023 * * [simplify]: iters left: 4 (77 enodes) 234.038 * * [simplify]: iters left: 3 (134 enodes) 234.084 * * [simplify]: iters left: 2 (301 enodes) 234.197 * * [simplify]: Extracting #0: cost 1 inf + 0 234.197 * * [simplify]: Extracting #1: cost 41 inf + 0 234.197 * * [simplify]: Extracting #2: cost 125 inf + 1 234.198 * * [simplify]: Extracting #3: cost 168 inf + 168 234.199 * * [simplify]: Extracting #4: cost 154 inf + 2706 234.201 * * [simplify]: Extracting #5: cost 125 inf + 9670 234.208 * * [simplify]: Extracting #6: cost 22 inf + 66883 234.218 * * [simplify]: Extracting #7: cost 0 inf + 81841 234.239 * * [simplify]: Extracting #8: cost 0 inf + 80289 234.261 * * [simplify]: Extracting #9: cost 0 inf + 79987 234.282 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 234.282 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 234.283 * * * * [progress]: [ 236 / 307 ] simplifiying candidate # 234.283 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 234.283 * * [simplify]: iters left: 6 (15 enodes) 234.293 * * [simplify]: iters left: 5 (64 enodes) 234.314 * * [simplify]: iters left: 4 (106 enodes) 234.347 * * [simplify]: iters left: 3 (156 enodes) 234.389 * * [simplify]: iters left: 2 (247 enodes) 234.448 * * [simplify]: iters left: 1 (430 enodes) 234.586 * * [simplify]: Extracting #0: cost 1 inf + 0 234.586 * * [simplify]: Extracting #1: cost 6 inf + 0 234.586 * * [simplify]: Extracting #2: cost 9 inf + 1 234.586 * * [simplify]: Extracting #3: cost 35 inf + 1 234.586 * * [simplify]: Extracting #4: cost 109 inf + 2 234.587 * * [simplify]: Extracting #5: cost 167 inf + 176 234.588 * * [simplify]: Extracting #6: cost 168 inf + 560 234.593 * * [simplify]: Extracting #7: cost 89 inf + 12705 234.606 * * [simplify]: Extracting #8: cost 23 inf + 43764 234.625 * * [simplify]: Extracting #9: cost 0 inf + 63192 234.646 * * [simplify]: Extracting #10: cost 0 inf + 62596 234.671 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 234.671 * [simplify]: Simplified (2 1) 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 k) 2))))))) 234.672 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 234.672 * * [simplify]: iters left: 6 (14 enodes) 234.680 * * [simplify]: iters left: 5 (59 enodes) 234.700 * * [simplify]: iters left: 4 (97 enodes) 234.727 * * [simplify]: iters left: 3 (137 enodes) 234.750 * * [simplify]: iters left: 2 (229 enodes) 234.809 * * [simplify]: iters left: 1 (418 enodes) 234.987 * * [simplify]: Extracting #0: cost 1 inf + 0 234.987 * * [simplify]: Extracting #1: cost 7 inf + 0 234.988 * * [simplify]: Extracting #2: cost 12 inf + 1 234.988 * * [simplify]: Extracting #3: cost 37 inf + 2 234.989 * * [simplify]: Extracting #4: cost 113 inf + 167 234.990 * * [simplify]: Extracting #5: cost 171 inf + 465 234.994 * * [simplify]: Extracting #6: cost 118 inf + 9707 235.006 * * [simplify]: Extracting #7: cost 28 inf + 42382 235.024 * * [simplify]: Extracting #8: cost 0 inf + 66886 235.044 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 235.044 * [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 (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))) 235.045 * * * * [progress]: [ 237 / 307 ] simplifiying candidate # 235.045 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 235.045 * * [simplify]: iters left: 6 (14 enodes) 235.054 * * [simplify]: iters left: 5 (59 enodes) 235.074 * * [simplify]: iters left: 4 (95 enodes) 235.105 * * [simplify]: iters left: 3 (138 enodes) 235.148 * * [simplify]: iters left: 2 (221 enodes) 235.226 * * [simplify]: iters left: 1 (402 enodes) 235.401 * * [simplify]: Extracting #0: cost 1 inf + 0 235.402 * * [simplify]: Extracting #1: cost 6 inf + 0 235.402 * * [simplify]: Extracting #2: cost 32 inf + 1 235.402 * * [simplify]: Extracting #3: cost 116 inf + 2 235.403 * * [simplify]: Extracting #4: cost 165 inf + 177 235.405 * * [simplify]: Extracting #5: cost 165 inf + 519 235.409 * * [simplify]: Extracting #6: cost 98 inf + 10432 235.424 * * [simplify]: Extracting #7: cost 15 inf + 49492 235.442 * * [simplify]: Extracting #8: cost 1 inf + 60053 235.463 * * [simplify]: Extracting #9: cost 0 inf + 60468 235.479 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 235.479 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 235.479 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 235.479 * * [simplify]: iters left: 6 (14 enodes) 235.483 * * [simplify]: iters left: 5 (59 enodes) 235.493 * * [simplify]: iters left: 4 (98 enodes) 235.516 * * [simplify]: iters left: 3 (138 enodes) 235.562 * * [simplify]: iters left: 2 (231 enodes) 235.648 * * [simplify]: iters left: 1 (408 enodes) 235.816 * * [simplify]: Extracting #0: cost 1 inf + 0 235.816 * * [simplify]: Extracting #1: cost 7 inf + 0 235.816 * * [simplify]: Extracting #2: cost 13 inf + 1 235.816 * * [simplify]: Extracting #3: cost 39 inf + 2 235.816 * * [simplify]: Extracting #4: cost 126 inf + 167 235.817 * * [simplify]: Extracting #5: cost 170 inf + 590 235.819 * * [simplify]: Extracting #6: cost 110 inf + 10581 235.826 * * [simplify]: Extracting #7: cost 37 inf + 35581 235.836 * * [simplify]: Extracting #8: cost 2 inf + 65999 235.852 * * [simplify]: Extracting #9: cost 0 inf + 64449 235.874 * * [simplify]: Extracting #10: cost 0 inf + 64119 235.897 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 235.897 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))) 235.897 * * * * [progress]: [ 238 / 307 ] simplifiying candidate # 235.897 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) 1)) 235.897 * * [simplify]: iters left: 5 (4 enodes) 235.905 * * [simplify]: iters left: 4 (14 enodes) 235.908 * * [simplify]: iters left: 3 (16 enodes) 235.915 * * [simplify]: Extracting #0: cost 1 inf + 0 235.915 * * [simplify]: Extracting #1: cost 0 inf + 1 235.915 * [simplify]: Simplified to 1 235.915 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 235.915 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 235.916 * * [simplify]: iters left: 6 (13 enodes) 235.923 * * [simplify]: iters left: 5 (56 enodes) 235.942 * * [simplify]: iters left: 4 (98 enodes) 235.972 * * [simplify]: iters left: 3 (155 enodes) 236.016 * * [simplify]: iters left: 2 (307 enodes) 236.133 * * [simplify]: Extracting #0: cost 1 inf + 0 236.133 * * [simplify]: Extracting #1: cost 48 inf + 0 236.134 * * [simplify]: Extracting #2: cost 126 inf + 1 236.134 * * [simplify]: Extracting #3: cost 169 inf + 127 236.135 * * [simplify]: Extracting #4: cost 170 inf + 593 236.137 * * [simplify]: Extracting #5: cost 117 inf + 10330 236.144 * * [simplify]: Extracting #6: cost 48 inf + 45706 236.155 * * [simplify]: Extracting #7: cost 0 inf + 82409 236.176 * * [simplify]: Extracting #8: cost 0 inf + 80452 236.194 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 236.194 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 236.194 * * * * [progress]: [ 239 / 307 ] simplifiying candidate # 236.194 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 236.195 * * [simplify]: iters left: 6 (14 enodes) 236.200 * * [simplify]: iters left: 5 (62 enodes) 236.211 * * [simplify]: iters left: 4 (105 enodes) 236.235 * * [simplify]: iters left: 3 (170 enodes) 236.283 * * [simplify]: iters left: 2 (312 enodes) 236.370 * * [simplify]: Extracting #0: cost 1 inf + 0 236.370 * * [simplify]: Extracting #1: cost 21 inf + 0 236.370 * * [simplify]: Extracting #2: cost 97 inf + 2 236.371 * * [simplify]: Extracting #3: cost 145 inf + 176 236.371 * * [simplify]: Extracting #4: cost 143 inf + 802 236.373 * * [simplify]: Extracting #5: cost 102 inf + 5613 236.377 * * [simplify]: Extracting #6: cost 28 inf + 33839 236.390 * * [simplify]: Extracting #7: cost 0 inf + 50696 236.405 * * [simplify]: Extracting #8: cost 0 inf + 50565 236.418 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 236.418 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 236.418 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 236.418 * * [simplify]: iters left: 6 (14 enodes) 236.423 * * [simplify]: iters left: 5 (62 enodes) 236.437 * * [simplify]: iters left: 4 (110 enodes) 236.467 * * [simplify]: iters left: 3 (187 enodes) 236.538 * * [simplify]: iters left: 2 (380 enodes) 237.028 * * [simplify]: Extracting #0: cost 1 inf + 0 237.028 * * [simplify]: Extracting #1: cost 50 inf + 0 237.029 * * [simplify]: Extracting #2: cost 132 inf + 1 237.029 * * [simplify]: Extracting #3: cost 186 inf + 127 237.030 * * [simplify]: Extracting #4: cost 183 inf + 2048 237.037 * * [simplify]: Extracting #5: cost 81 inf + 40745 237.057 * * [simplify]: Extracting #6: cost 2 inf + 81029 237.084 * * [simplify]: Extracting #7: cost 0 inf + 79181 237.106 * * [simplify]: Extracting #8: cost 0 inf + 78697 237.126 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)) 237.126 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)))) 237.127 * * * * [progress]: [ 240 / 307 ] simplifiying candidate # 237.129 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 237.129 * * [simplify]: iters left: 6 (11 enodes) 237.133 * * [simplify]: iters left: 5 (46 enodes) 237.141 * * [simplify]: iters left: 4 (76 enodes) 237.154 * * [simplify]: iters left: 3 (133 enodes) 237.193 * * [simplify]: iters left: 2 (300 enodes) 237.320 * * [simplify]: Extracting #0: cost 1 inf + 0 237.320 * * [simplify]: Extracting #1: cost 41 inf + 0 237.321 * * [simplify]: Extracting #2: cost 122 inf + 1 237.321 * * [simplify]: Extracting #3: cost 169 inf + 4 237.322 * * [simplify]: Extracting #4: cost 166 inf + 1511 237.324 * * [simplify]: Extracting #5: cost 127 inf + 9270 237.330 * * [simplify]: Extracting #6: cost 27 inf + 61104 237.351 * * [simplify]: Extracting #7: cost 0 inf + 79521 237.371 * * [simplify]: Extracting #8: cost 0 inf + 78441 237.392 * * [simplify]: Extracting #9: cost 0 inf + 78400 237.412 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 237.412 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 237.412 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 237.413 * * [simplify]: iters left: 6 (12 enodes) 237.419 * * [simplify]: iters left: 5 (50 enodes) 237.436 * * [simplify]: iters left: 4 (84 enodes) 237.463 * * [simplify]: iters left: 3 (140 enodes) 237.518 * * [simplify]: iters left: 2 (294 enodes) 237.656 * * [simplify]: Extracting #0: cost 1 inf + 0 237.656 * * [simplify]: Extracting #1: cost 40 inf + 0 237.657 * * [simplify]: Extracting #2: cost 122 inf + 1 237.658 * * [simplify]: Extracting #3: cost 171 inf + 3 237.659 * * [simplify]: Extracting #4: cost 174 inf + 505 237.662 * * [simplify]: Extracting #5: cost 130 inf + 8407 237.673 * * [simplify]: Extracting #6: cost 59 inf + 40635 237.693 * * [simplify]: Extracting #7: cost 4 inf + 76862 237.714 * * [simplify]: Extracting #8: cost 0 inf + 79686 237.735 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 237.735 * [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))))) 237.735 * * * * [progress]: [ 241 / 307 ] simplifiying candidate # 237.736 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 237.736 * * [simplify]: iters left: 6 (16 enodes) 237.745 * * [simplify]: iters left: 5 (67 enodes) 237.772 * * [simplify]: iters left: 4 (107 enodes) 237.805 * * [simplify]: iters left: 3 (157 enodes) 237.860 * * [simplify]: iters left: 2 (268 enodes) 237.955 * * [simplify]: iters left: 1 (444 enodes) 238.144 * * [simplify]: Extracting #0: cost 1 inf + 0 238.144 * * [simplify]: Extracting #1: cost 10 inf + 0 238.144 * * [simplify]: Extracting #2: cost 18 inf + 1 238.144 * * [simplify]: Extracting #3: cost 46 inf + 1 238.145 * * [simplify]: Extracting #4: cost 123 inf + 3 238.147 * * [simplify]: Extracting #5: cost 174 inf + 1169 238.153 * * [simplify]: Extracting #6: cost 91 inf + 18866 238.170 * * [simplify]: Extracting #7: cost 22 inf + 53040 238.191 * * [simplify]: Extracting #8: cost 0 inf + 73494 238.213 * * [simplify]: Extracting #9: cost 0 inf + 73455 238.234 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 238.234 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 238.235 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 238.235 * * [simplify]: iters left: 6 (15 enodes) 238.243 * * [simplify]: iters left: 5 (62 enodes) 238.264 * * [simplify]: iters left: 4 (96 enodes) 238.297 * * [simplify]: iters left: 3 (138 enodes) 238.335 * * [simplify]: iters left: 2 (246 enodes) 238.399 * * [simplify]: iters left: 1 (420 enodes) 238.551 * * [simplify]: Extracting #0: cost 1 inf + 0 238.551 * * [simplify]: Extracting #1: cost 7 inf + 0 238.551 * * [simplify]: Extracting #2: cost 12 inf + 1 238.551 * * [simplify]: Extracting #3: cost 41 inf + 1 238.551 * * [simplify]: Extracting #4: cost 120 inf + 3 238.552 * * [simplify]: Extracting #5: cost 164 inf + 754 238.555 * * [simplify]: Extracting #6: cost 96 inf + 14276 238.566 * * [simplify]: Extracting #7: cost 30 inf + 43006 238.588 * * [simplify]: Extracting #8: cost 1 inf + 67053 238.613 * * [simplify]: Extracting #9: cost 0 inf + 66676 238.634 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 238.635 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 238.635 * * * * [progress]: [ 242 / 307 ] simplifiying candidate # 238.635 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 238.635 * * [simplify]: iters left: 6 (15 enodes) 238.643 * * [simplify]: iters left: 5 (62 enodes) 238.664 * * [simplify]: iters left: 4 (97 enodes) 238.694 * * [simplify]: iters left: 3 (142 enodes) 238.726 * * [simplify]: iters left: 2 (256 enodes) 238.790 * * [simplify]: iters left: 1 (438 enodes) 238.933 * * [simplify]: Extracting #0: cost 1 inf + 0 238.933 * * [simplify]: Extracting #1: cost 7 inf + 0 238.933 * * [simplify]: Extracting #2: cost 13 inf + 1 238.933 * * [simplify]: Extracting #3: cost 47 inf + 1 238.934 * * [simplify]: Extracting #4: cost 132 inf + 3 238.934 * * [simplify]: Extracting #5: cost 178 inf + 1206 238.937 * * [simplify]: Extracting #6: cost 113 inf + 11518 238.942 * * [simplify]: Extracting #7: cost 45 inf + 30361 238.958 * * [simplify]: Extracting #8: cost 4 inf + 63822 238.979 * * [simplify]: Extracting #9: cost 0 inf + 66748 239.004 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 239.005 * [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 (* n (* 2 PI)) (/ (- 1 k) 2))))))) 239.005 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 239.005 * * [simplify]: iters left: 6 (15 enodes) 239.013 * * [simplify]: iters left: 5 (62 enodes) 239.033 * * [simplify]: iters left: 4 (97 enodes) 239.063 * * [simplify]: iters left: 3 (142 enodes) 239.105 * * [simplify]: iters left: 2 (256 enodes) 239.166 * * [simplify]: iters left: 1 (438 enodes) 239.346 * * [simplify]: Extracting #0: cost 1 inf + 0 239.346 * * [simplify]: Extracting #1: cost 7 inf + 0 239.346 * * [simplify]: Extracting #2: cost 13 inf + 1 239.346 * * [simplify]: Extracting #3: cost 47 inf + 1 239.347 * * [simplify]: Extracting #4: cost 132 inf + 3 239.348 * * [simplify]: Extracting #5: cost 178 inf + 1206 239.350 * * [simplify]: Extracting #6: cost 113 inf + 11518 239.356 * * [simplify]: Extracting #7: cost 45 inf + 30361 239.366 * * [simplify]: Extracting #8: cost 4 inf + 63822 239.376 * * [simplify]: Extracting #9: cost 0 inf + 66748 239.387 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 239.387 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 239.388 * * * * [progress]: [ 243 / 307 ] simplifiying candidate # 239.388 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 239.388 * * [simplify]: iters left: 6 (6 enodes) 239.390 * * [simplify]: iters left: 5 (20 enodes) 239.393 * * [simplify]: iters left: 4 (24 enodes) 239.396 * * [simplify]: iters left: 3 (25 enodes) 239.399 * * [simplify]: Extracting #0: cost 1 inf + 0 239.399 * * [simplify]: Extracting #1: cost 4 inf + 0 239.399 * * [simplify]: Extracting #2: cost 5 inf + 1 239.400 * * [simplify]: Extracting #3: cost 7 inf + 1 239.400 * * [simplify]: Extracting #4: cost 6 inf + 2 239.400 * * [simplify]: Extracting #5: cost 0 inf + 490 239.400 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 239.400 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 239.400 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 239.401 * * [simplify]: iters left: 6 (14 enodes) 239.413 * * [simplify]: iters left: 5 (59 enodes) 239.432 * * [simplify]: iters left: 4 (101 enodes) 239.465 * * [simplify]: iters left: 3 (158 enodes) 239.514 * * [simplify]: iters left: 2 (310 enodes) 239.626 * * [simplify]: Extracting #0: cost 1 inf + 0 239.627 * * [simplify]: Extracting #1: cost 49 inf + 0 239.627 * * [simplify]: Extracting #2: cost 133 inf + 1 239.628 * * [simplify]: Extracting #3: cost 184 inf + 3 239.629 * * [simplify]: Extracting #4: cost 168 inf + 3864 239.632 * * [simplify]: Extracting #5: cost 102 inf + 25471 239.642 * * [simplify]: Extracting #6: cost 20 inf + 78381 239.655 * * [simplify]: Extracting #7: cost 0 inf + 92783 239.678 * * [simplify]: Extracting #8: cost 0 inf + 90516 239.706 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) 239.706 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 239.706 * * * * [progress]: [ 244 / 307 ] simplifiying candidate # 239.706 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 239.707 * * [simplify]: iters left: 6 (15 enodes) 239.715 * * [simplify]: iters left: 5 (65 enodes) 239.737 * * [simplify]: iters left: 4 (107 enodes) 239.768 * * [simplify]: iters left: 3 (174 enodes) 239.815 * * [simplify]: iters left: 2 (352 enodes) 239.952 * * [simplify]: Extracting #0: cost 1 inf + 0 239.953 * * [simplify]: Extracting #1: cost 49 inf + 0 239.953 * * [simplify]: Extracting #2: cost 130 inf + 1 239.955 * * [simplify]: Extracting #3: cost 184 inf + 3 239.957 * * [simplify]: Extracting #4: cost 171 inf + 3869 239.970 * * [simplify]: Extracting #5: cost 85 inf + 35623 239.996 * * [simplify]: Extracting #6: cost 3 inf + 89634 240.018 * * [simplify]: Extracting #7: cost 0 inf + 89523 240.032 * * [simplify]: Extracting #8: cost 0 inf + 89483 240.060 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 240.060 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 240.061 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 240.061 * * [simplify]: iters left: 6 (15 enodes) 240.070 * * [simplify]: iters left: 5 (65 enodes) 240.091 * * [simplify]: iters left: 4 (107 enodes) 240.128 * * [simplify]: iters left: 3 (174 enodes) 240.163 * * [simplify]: iters left: 2 (352 enodes) 240.322 * * [simplify]: Extracting #0: cost 1 inf + 0 240.322 * * [simplify]: Extracting #1: cost 49 inf + 0 240.323 * * [simplify]: Extracting #2: cost 130 inf + 1 240.324 * * [simplify]: Extracting #3: cost 184 inf + 3 240.327 * * [simplify]: Extracting #4: cost 171 inf + 3869 240.340 * * [simplify]: Extracting #5: cost 85 inf + 35623 240.367 * * [simplify]: Extracting #6: cost 3 inf + 89634 240.395 * * [simplify]: Extracting #7: cost 0 inf + 89523 240.423 * * [simplify]: Extracting #8: cost 0 inf + 89483 240.443 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 240.443 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 240.443 * * * * [progress]: [ 245 / 307 ] simplifiying candidate # 240.444 * [simplify]: Simplifying (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) 240.444 * * [simplify]: iters left: 6 (9 enodes) 240.447 * * [simplify]: iters left: 5 (38 enodes) 240.454 * * [simplify]: iters left: 4 (66 enodes) 240.467 * * [simplify]: iters left: 3 (122 enodes) 240.499 * * [simplify]: iters left: 2 (249 enodes) 240.613 * * [simplify]: Extracting #0: cost 1 inf + 0 240.613 * * [simplify]: Extracting #1: cost 35 inf + 0 240.613 * * [simplify]: Extracting #2: cost 111 inf + 3 240.614 * * [simplify]: Extracting #3: cost 153 inf + 6 240.615 * * [simplify]: Extracting #4: cost 146 inf + 761 240.616 * * [simplify]: Extracting #5: cost 93 inf + 8401 240.621 * * [simplify]: Extracting #6: cost 33 inf + 37537 240.629 * * [simplify]: Extracting #7: cost 3 inf + 59469 240.643 * * [simplify]: Extracting #8: cost 0 inf + 60533 240.659 * * [simplify]: Extracting #9: cost 0 inf + 60140 240.676 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 240.676 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 240.677 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 240.677 * * [simplify]: iters left: 6 (11 enodes) 240.683 * * [simplify]: iters left: 5 (47 enodes) 240.704 * * [simplify]: iters left: 4 (77 enodes) 240.721 * * [simplify]: iters left: 3 (134 enodes) 240.759 * * [simplify]: iters left: 2 (301 enodes) 240.860 * * [simplify]: Extracting #0: cost 1 inf + 0 240.860 * * [simplify]: Extracting #1: cost 41 inf + 0 240.861 * * [simplify]: Extracting #2: cost 125 inf + 1 240.861 * * [simplify]: Extracting #3: cost 168 inf + 168 240.862 * * [simplify]: Extracting #4: cost 154 inf + 2706 240.864 * * [simplify]: Extracting #5: cost 125 inf + 9670 240.876 * * [simplify]: Extracting #6: cost 22 inf + 66883 240.894 * * [simplify]: Extracting #7: cost 0 inf + 81841 240.904 * * [simplify]: Extracting #8: cost 0 inf + 80289 240.919 * * [simplify]: Extracting #9: cost 0 inf + 79987 240.933 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 240.934 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 240.934 * * * * [progress]: [ 246 / 307 ] simplifiying candidate # 240.934 * [simplify]: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 240.934 * * [simplify]: iters left: 6 (14 enodes) 240.939 * * [simplify]: iters left: 5 (59 enodes) 240.949 * * [simplify]: iters left: 4 (97 enodes) 240.972 * * [simplify]: iters left: 3 (148 enodes) 241.000 * * [simplify]: iters left: 2 (242 enodes) 241.060 * * [simplify]: iters left: 1 (422 enodes) 241.221 * * [simplify]: Extracting #0: cost 1 inf + 0 241.221 * * [simplify]: Extracting #1: cost 6 inf + 0 241.222 * * [simplify]: Extracting #2: cost 9 inf + 1 241.222 * * [simplify]: Extracting #3: cost 38 inf + 1 241.222 * * [simplify]: Extracting #4: cost 115 inf + 2 241.223 * * [simplify]: Extracting #5: cost 162 inf + 218 241.224 * * [simplify]: Extracting #6: cost 163 inf + 1059 241.226 * * [simplify]: Extracting #7: cost 99 inf + 11735 241.233 * * [simplify]: Extracting #8: cost 32 inf + 45694 241.243 * * [simplify]: Extracting #9: cost 0 inf + 72510 241.254 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 241.254 * [simplify]: Simplified (2 1) 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 k) 2))))))) 241.254 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 241.255 * * [simplify]: iters left: 6 (14 enodes) 241.259 * * [simplify]: iters left: 5 (59 enodes) 241.275 * * [simplify]: iters left: 4 (97 enodes) 241.305 * * [simplify]: iters left: 3 (137 enodes) 241.349 * * [simplify]: iters left: 2 (229 enodes) 241.430 * * [simplify]: iters left: 1 (418 enodes) 241.594 * * [simplify]: Extracting #0: cost 1 inf + 0 241.594 * * [simplify]: Extracting #1: cost 7 inf + 0 241.594 * * [simplify]: Extracting #2: cost 12 inf + 1 241.594 * * [simplify]: Extracting #3: cost 37 inf + 2 241.595 * * [simplify]: Extracting #4: cost 113 inf + 167 241.596 * * [simplify]: Extracting #5: cost 171 inf + 465 241.600 * * [simplify]: Extracting #6: cost 118 inf + 9707 241.611 * * [simplify]: Extracting #7: cost 28 inf + 42382 241.630 * * [simplify]: Extracting #8: cost 0 inf + 66886 241.649 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 241.650 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))) 241.650 * * * * [progress]: [ 247 / 307 ] simplifiying candidate # 241.650 * [simplify]: Simplifying (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 241.650 * * [simplify]: iters left: 6 (13 enodes) 241.659 * * [simplify]: iters left: 5 (54 enodes) 241.676 * * [simplify]: iters left: 4 (89 enodes) 241.704 * * [simplify]: iters left: 3 (134 enodes) 241.750 * * [simplify]: iters left: 2 (217 enodes) 241.827 * * [simplify]: iters left: 1 (399 enodes) 242.000 * * [simplify]: Extracting #0: cost 1 inf + 0 242.001 * * [simplify]: Extracting #1: cost 6 inf + 0 242.001 * * [simplify]: Extracting #2: cost 37 inf + 1 242.001 * * [simplify]: Extracting #3: cost 121 inf + 2 242.002 * * [simplify]: Extracting #4: cost 170 inf + 177 242.002 * * [simplify]: Extracting #5: cost 163 inf + 726 242.005 * * [simplify]: Extracting #6: cost 86 inf + 12861 242.011 * * [simplify]: Extracting #7: cost 28 inf + 40456 242.020 * * [simplify]: Extracting #8: cost 0 inf + 64916 242.033 * [simplify]: Simplified to (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) 242.033 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 242.033 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 242.033 * * [simplify]: iters left: 6 (14 enodes) 242.041 * * [simplify]: iters left: 5 (59 enodes) 242.061 * * [simplify]: iters left: 4 (98 enodes) 242.094 * * [simplify]: iters left: 3 (138 enodes) 242.138 * * [simplify]: iters left: 2 (231 enodes) 242.223 * * [simplify]: iters left: 1 (408 enodes) 242.433 * * [simplify]: Extracting #0: cost 1 inf + 0 242.433 * * [simplify]: Extracting #1: cost 7 inf + 0 242.433 * * [simplify]: Extracting #2: cost 13 inf + 1 242.434 * * [simplify]: Extracting #3: cost 39 inf + 2 242.434 * * [simplify]: Extracting #4: cost 126 inf + 167 242.436 * * [simplify]: Extracting #5: cost 170 inf + 590 242.439 * * [simplify]: Extracting #6: cost 110 inf + 10581 242.449 * * [simplify]: Extracting #7: cost 37 inf + 35581 242.463 * * [simplify]: Extracting #8: cost 2 inf + 65999 242.474 * * [simplify]: Extracting #9: cost 0 inf + 64449 242.486 * * [simplify]: Extracting #10: cost 0 inf + 64119 242.498 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 242.498 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))) 242.498 * * * * [progress]: [ 248 / 307 ] simplifiying candidate # 242.498 * [simplify]: Simplifying (/ 1 (/ 1 1)) 242.498 * * [simplify]: iters left: 4 (3 enodes) 242.500 * * [simplify]: iters left: 3 (7 enodes) 242.501 * * [simplify]: iters left: 2 (9 enodes) 242.502 * * [simplify]: Extracting #0: cost 1 inf + 0 242.502 * * [simplify]: Extracting #1: cost 0 inf + 1 242.502 * [simplify]: Simplified to 1 242.502 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 242.502 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 242.503 * * [simplify]: iters left: 6 (13 enodes) 242.506 * * [simplify]: iters left: 5 (56 enodes) 242.517 * * [simplify]: iters left: 4 (98 enodes) 242.532 * * [simplify]: iters left: 3 (155 enodes) 242.563 * * [simplify]: iters left: 2 (307 enodes) 242.646 * * [simplify]: Extracting #0: cost 1 inf + 0 242.646 * * [simplify]: Extracting #1: cost 48 inf + 0 242.646 * * [simplify]: Extracting #2: cost 126 inf + 1 242.647 * * [simplify]: Extracting #3: cost 169 inf + 127 242.648 * * [simplify]: Extracting #4: cost 170 inf + 593 242.650 * * [simplify]: Extracting #5: cost 117 inf + 10330 242.656 * * [simplify]: Extracting #6: cost 48 inf + 45706 242.675 * * [simplify]: Extracting #7: cost 0 inf + 82409 242.705 * * [simplify]: Extracting #8: cost 0 inf + 80452 242.726 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 242.726 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 242.726 * * * * [progress]: [ 249 / 307 ] simplifiying candidate # 242.726 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 242.727 * * [simplify]: iters left: 6 (13 enodes) 242.731 * * [simplify]: iters left: 5 (57 enodes) 242.740 * * [simplify]: iters left: 4 (96 enodes) 242.757 * * [simplify]: iters left: 3 (170 enodes) 242.801 * * [simplify]: iters left: 2 (338 enodes) 242.904 * * [simplify]: Extracting #0: cost 1 inf + 0 242.904 * * [simplify]: Extracting #1: cost 31 inf + 0 242.904 * * [simplify]: Extracting #2: cost 119 inf + 2 242.905 * * [simplify]: Extracting #3: cost 167 inf + 301 242.906 * * [simplify]: Extracting #4: cost 168 inf + 558 242.908 * * [simplify]: Extracting #5: cost 114 inf + 9132 242.913 * * [simplify]: Extracting #6: cost 39 inf + 40435 242.924 * * [simplify]: Extracting #7: cost 2 inf + 68434 242.934 * * [simplify]: Extracting #8: cost 0 inf + 68287 242.945 * [simplify]: Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 4)) 242.945 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 242.945 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 242.946 * * [simplify]: iters left: 6 (14 enodes) 242.950 * * [simplify]: iters left: 5 (62 enodes) 242.964 * * [simplify]: iters left: 4 (110 enodes) 242.984 * * [simplify]: iters left: 3 (187 enodes) 243.022 * * [simplify]: iters left: 2 (380 enodes) 243.151 * * [simplify]: Extracting #0: cost 1 inf + 0 243.152 * * [simplify]: Extracting #1: cost 50 inf + 0 243.152 * * [simplify]: Extracting #2: cost 132 inf + 1 243.154 * * [simplify]: Extracting #3: cost 186 inf + 127 243.155 * * [simplify]: Extracting #4: cost 183 inf + 2048 243.169 * * [simplify]: Extracting #5: cost 81 inf + 40745 243.206 * * [simplify]: Extracting #6: cost 2 inf + 81029 243.244 * * [simplify]: Extracting #7: cost 0 inf + 79181 243.280 * * [simplify]: Extracting #8: cost 0 inf + 78697 243.316 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)) 243.316 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)))) 243.316 * * * * [progress]: [ 250 / 307 ] simplifiying candidate # 243.316 * [simplify]: Simplifying (/ 1 1) 243.317 * * [simplify]: iters left: 2 (2 enodes) 243.322 * * [simplify]: iters left: 1 (6 enodes) 243.324 * * [simplify]: Extracting #0: cost 1 inf + 0 243.324 * * [simplify]: Extracting #1: cost 0 inf + 1 243.324 * [simplify]: Simplified to 1 243.324 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 243.324 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 243.324 * * [simplify]: iters left: 6 (13 enodes) 243.328 * * [simplify]: iters left: 5 (56 enodes) 243.337 * * [simplify]: iters left: 4 (98 enodes) 243.354 * * [simplify]: iters left: 3 (155 enodes) 243.398 * * [simplify]: iters left: 2 (307 enodes) 243.514 * * [simplify]: Extracting #0: cost 1 inf + 0 243.514 * * [simplify]: Extracting #1: cost 48 inf + 0 243.515 * * [simplify]: Extracting #2: cost 126 inf + 1 243.515 * * [simplify]: Extracting #3: cost 169 inf + 127 243.516 * * [simplify]: Extracting #4: cost 170 inf + 593 243.518 * * [simplify]: Extracting #5: cost 117 inf + 10330 243.524 * * [simplify]: Extracting #6: cost 48 inf + 45706 243.539 * * [simplify]: Extracting #7: cost 0 inf + 82409 243.552 * * [simplify]: Extracting #8: cost 0 inf + 80452 243.567 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 243.567 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 243.567 * * * * [progress]: [ 251 / 307 ] simplifiying candidate # 243.567 * [simplify]: Simplifying (/ 1 (sqrt k)) 243.567 * * [simplify]: iters left: 3 (4 enodes) 243.570 * * [simplify]: iters left: 2 (14 enodes) 243.574 * * [simplify]: iters left: 1 (16 enodes) 243.579 * * [simplify]: Extracting #0: cost 1 inf + 0 243.579 * * [simplify]: Extracting #1: cost 4 inf + 0 243.579 * * [simplify]: Extracting #2: cost 5 inf + 1 243.579 * * [simplify]: Extracting #3: cost 3 inf + 43 243.579 * * [simplify]: Extracting #4: cost 1 inf + 166 243.579 * * [simplify]: Extracting #5: cost 0 inf + 248 243.580 * [simplify]: Simplified to (/ 1 (sqrt k)) 243.580 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 243.580 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 243.580 * * [simplify]: iters left: 6 (12 enodes) 243.587 * * [simplify]: iters left: 5 (51 enodes) 243.596 * * [simplify]: iters left: 4 (87 enodes) 243.613 * * [simplify]: iters left: 3 (149 enodes) 243.649 * * [simplify]: iters left: 2 (278 enodes) 243.745 * * [simplify]: Extracting #0: cost 1 inf + 0 243.745 * * [simplify]: Extracting #1: cost 33 inf + 0 243.746 * * [simplify]: Extracting #2: cost 113 inf + 2 243.747 * * [simplify]: Extracting #3: cost 153 inf + 174 243.748 * * [simplify]: Extracting #4: cost 140 inf + 2184 243.753 * * [simplify]: Extracting #5: cost 90 inf + 12470 243.765 * * [simplify]: Extracting #6: cost 38 inf + 35329 243.783 * * [simplify]: Extracting #7: cost 6 inf + 59490 243.803 * * [simplify]: Extracting #8: cost 0 inf + 63438 243.820 * [simplify]: Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 2)) 243.820 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) 243.820 * * * * [progress]: [ 252 / 307 ] simplifiying candidate # 243.820 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 243.820 * * [simplify]: iters left: 6 (12 enodes) 243.824 * * [simplify]: iters left: 5 (48 enodes) 243.834 * * [simplify]: iters left: 4 (83 enodes) 243.855 * * [simplify]: iters left: 3 (143 enodes) 243.896 * * [simplify]: iters left: 2 (290 enodes) 244.047 * * [simplify]: Extracting #0: cost 1 inf + 0 244.047 * * [simplify]: Extracting #1: cost 38 inf + 0 244.048 * * [simplify]: Extracting #2: cost 103 inf + 1 244.049 * * [simplify]: Extracting #3: cost 102 inf + 255 244.050 * * [simplify]: Extracting #4: cost 95 inf + 714 244.052 * * [simplify]: Extracting #5: cost 69 inf + 9869 244.061 * * [simplify]: Extracting #6: cost 5 inf + 47179 244.074 * * [simplify]: Extracting #7: cost 0 inf + 51073 244.086 * [simplify]: Simplified to (/ (sqrt (* n (* 2 PI))) (sqrt k)) 244.086 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n (* 2 PI))) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 244.086 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 244.087 * * [simplify]: iters left: 6 (10 enodes) 244.090 * * [simplify]: iters left: 5 (39 enodes) 244.097 * * [simplify]: iters left: 4 (63 enodes) 244.107 * * [simplify]: iters left: 3 (98 enodes) 244.133 * * [simplify]: iters left: 2 (168 enodes) 244.182 * * [simplify]: iters left: 1 (314 enodes) 244.285 * * [simplify]: Extracting #0: cost 1 inf + 0 244.285 * * [simplify]: Extracting #1: cost 6 inf + 0 244.285 * * [simplify]: Extracting #2: cost 39 inf + 1 244.285 * * [simplify]: Extracting #3: cost 125 inf + 2 244.286 * * [simplify]: Extracting #4: cost 146 inf + 259 244.290 * * [simplify]: Extracting #5: cost 95 inf + 7006 244.296 * * [simplify]: Extracting #6: cost 27 inf + 45727 244.316 * * [simplify]: Extracting #7: cost 0 inf + 60836 244.339 * * [simplify]: Extracting #8: cost 0 inf + 56773 244.363 * * [simplify]: Extracting #9: cost 0 inf + 56632 244.387 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (* 1/2 k))) 244.387 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n (* 2 PI))) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (* 1/2 k))))) 244.387 * * * * [progress]: [ 253 / 307 ] simplifiying candidate # 244.387 * * * * [progress]: [ 254 / 307 ] simplifiying candidate # 244.388 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 244.388 * * [simplify]: iters left: 6 (13 enodes) 244.395 * * [simplify]: iters left: 5 (56 enodes) 244.414 * * [simplify]: iters left: 4 (98 enodes) 244.444 * * [simplify]: iters left: 3 (155 enodes) 244.500 * * [simplify]: iters left: 2 (307 enodes) 244.594 * * [simplify]: Extracting #0: cost 1 inf + 0 244.594 * * [simplify]: Extracting #1: cost 48 inf + 0 244.595 * * [simplify]: Extracting #2: cost 126 inf + 1 244.596 * * [simplify]: Extracting #3: cost 169 inf + 127 244.598 * * [simplify]: Extracting #4: cost 170 inf + 593 244.601 * * [simplify]: Extracting #5: cost 117 inf + 10330 244.611 * * [simplify]: Extracting #6: cost 48 inf + 45706 244.622 * * [simplify]: Extracting #7: cost 0 inf + 82409 244.639 * * [simplify]: Extracting #8: cost 0 inf + 80452 244.658 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 244.658 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 244.658 * * * * [progress]: [ 255 / 307 ] simplifiying candidate # 244.658 * [simplify]: Simplifying (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 244.658 * * [simplify]: iters left: 6 (13 enodes) 244.662 * * [simplify]: iters left: 5 (54 enodes) 244.672 * * [simplify]: iters left: 4 (94 enodes) 244.691 * * [simplify]: iters left: 3 (148 enodes) 244.724 * * [simplify]: iters left: 2 (255 enodes) 244.794 * * [simplify]: Extracting #0: cost 1 inf + 0 244.794 * * [simplify]: Extracting #1: cost 19 inf + 0 244.795 * * [simplify]: Extracting #2: cost 62 inf + 1 244.795 * * [simplify]: Extracting #3: cost 116 inf + 45 244.796 * * [simplify]: Extracting #4: cost 117 inf + 717 244.797 * * [simplify]: Extracting #5: cost 75 inf + 7391 244.801 * * [simplify]: Extracting #6: cost 19 inf + 32505 244.808 * * [simplify]: Extracting #7: cost 0 inf + 45979 244.814 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 244.814 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 244.814 * * * * [progress]: [ 256 / 307 ] simplifiying candidate # 244.815 * [simplify]: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 244.815 * * [simplify]: iters left: 6 (15 enodes) 244.823 * * [simplify]: iters left: 5 (62 enodes) 244.843 * * [simplify]: iters left: 4 (99 enodes) 244.873 * * [simplify]: iters left: 3 (145 enodes) 244.897 * * [simplify]: iters left: 2 (236 enodes) 244.983 * * [simplify]: iters left: 1 (421 enodes) 245.192 * * [simplify]: Extracting #0: cost 1 inf + 0 245.192 * * [simplify]: Extracting #1: cost 6 inf + 0 245.192 * * [simplify]: Extracting #2: cost 9 inf + 1 245.192 * * [simplify]: Extracting #3: cost 14 inf + 1 245.192 * * [simplify]: Extracting #4: cost 44 inf + 1 245.193 * * [simplify]: Extracting #5: cost 133 inf + 3 245.193 * * [simplify]: Extracting #6: cost 176 inf + 426 245.195 * * [simplify]: Extracting #7: cost 117 inf + 11295 245.200 * * [simplify]: Extracting #8: cost 56 inf + 31948 245.210 * * [simplify]: Extracting #9: cost 6 inf + 69089 245.220 * * [simplify]: Extracting #10: cost 0 inf + 74430 245.233 * * [simplify]: Extracting #11: cost 0 inf + 74177 245.244 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 245.244 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 245.244 * * * * [progress]: [ 257 / 307 ] simplifiying candidate # 245.245 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 245.245 * * [simplify]: iters left: 6 (14 enodes) 245.249 * * [simplify]: iters left: 5 (57 enodes) 245.259 * * [simplify]: iters left: 4 (92 enodes) 245.276 * * [simplify]: iters left: 3 (134 enodes) 245.311 * * [simplify]: iters left: 2 (220 enodes) 245.360 * * [simplify]: iters left: 1 (418 enodes) 245.545 * * [simplify]: Extracting #0: cost 1 inf + 0 245.545 * * [simplify]: Extracting #1: cost 4 inf + 0 245.545 * * [simplify]: Extracting #2: cost 5 inf + 1 245.545 * * [simplify]: Extracting #3: cost 10 inf + 1 245.545 * * [simplify]: Extracting #4: cost 50 inf + 1 245.546 * * [simplify]: Extracting #5: cost 150 inf + 3 245.548 * * [simplify]: Extracting #6: cost 191 inf + 1372 245.554 * * [simplify]: Extracting #7: cost 119 inf + 16089 245.572 * * [simplify]: Extracting #8: cost 20 inf + 70189 245.597 * * [simplify]: Extracting #9: cost 0 inf + 85811 245.610 * * [simplify]: Extracting #10: cost 0 inf + 83946 245.623 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 245.623 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 245.623 * * * * [progress]: [ 258 / 307 ] simplifiying candidate # 245.623 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 245.624 * * [simplify]: iters left: 6 (12 enodes) 245.630 * * [simplify]: iters left: 5 (51 enodes) 245.648 * * [simplify]: iters left: 4 (95 enodes) 245.669 * * [simplify]: iters left: 3 (186 enodes) 245.722 * * [simplify]: iters left: 2 (447 enodes) 245.930 * * [simplify]: Extracting #0: cost 1 inf + 0 245.930 * * [simplify]: Extracting #1: cost 93 inf + 0 245.931 * * [simplify]: Extracting #2: cost 266 inf + 1 245.932 * * [simplify]: Extracting #3: cost 329 inf + 4 245.934 * * [simplify]: Extracting #4: cost 301 inf + 11072 245.944 * * [simplify]: Extracting #5: cost 170 inf + 67868 245.991 * * [simplify]: Extracting #6: cost 25 inf + 166495 246.043 * * [simplify]: Extracting #7: cost 0 inf + 185694 246.095 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 246.096 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))) 246.096 * * * * [progress]: [ 259 / 307 ] simplifiying candidate # 246.096 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 246.096 * * [simplify]: iters left: 6 (17 enodes) 246.106 * * [simplify]: iters left: 5 (74 enodes) 246.132 * * [simplify]: iters left: 4 (132 enodes) 246.175 * * [simplify]: iters left: 3 (208 enodes) 246.249 * * [simplify]: iters left: 2 (355 enodes) 246.342 * * [simplify]: Extracting #0: cost 1 inf + 0 246.342 * * [simplify]: Extracting #1: cost 17 inf + 0 246.342 * * [simplify]: Extracting #2: cost 31 inf + 1 246.343 * * [simplify]: Extracting #3: cost 46 inf + 1 246.343 * * [simplify]: Extracting #4: cost 94 inf + 3 246.344 * * [simplify]: Extracting #5: cost 114 inf + 1434 246.348 * * [simplify]: Extracting #6: cost 57 inf + 14910 246.361 * * [simplify]: Extracting #7: cost 12 inf + 33969 246.368 * * [simplify]: Extracting #8: cost 0 inf + 41677 246.375 * * [simplify]: Extracting #9: cost 0 inf + 41153 246.381 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 246.382 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 246.382 * * * * [progress]: [ 260 / 307 ] simplifiying candidate # 246.382 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 246.382 * * [simplify]: iters left: 6 (16 enodes) 246.387 * * [simplify]: iters left: 5 (67 enodes) 246.402 * * [simplify]: iters left: 4 (109 enodes) 246.435 * * [simplify]: iters left: 3 (167 enodes) 246.493 * * [simplify]: iters left: 2 (292 enodes) 246.556 * * [simplify]: iters left: 1 (467 enodes) 246.731 * * [simplify]: Extracting #0: cost 1 inf + 0 246.731 * * [simplify]: Extracting #1: cost 12 inf + 0 246.731 * * [simplify]: Extracting #2: cost 22 inf + 1 246.731 * * [simplify]: Extracting #3: cost 54 inf + 1 246.732 * * [simplify]: Extracting #4: cost 142 inf + 3 246.733 * * [simplify]: Extracting #5: cost 167 inf + 2268 246.737 * * [simplify]: Extracting #6: cost 86 inf + 22206 246.749 * * [simplify]: Extracting #7: cost 8 inf + 62665 246.774 * * [simplify]: Extracting #8: cost 0 inf + 68823 246.785 * * [simplify]: Extracting #9: cost 0 inf + 68783 246.798 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 246.798 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 246.798 * * * * [progress]: [ 261 / 307 ] simplifiying candidate # 246.798 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 246.798 * * [simplify]: iters left: 6 (7 enodes) 246.800 * * [simplify]: iters left: 5 (25 enodes) 246.806 * * [simplify]: iters left: 4 (38 enodes) 246.817 * * [simplify]: iters left: 3 (42 enodes) 246.828 * * [simplify]: Extracting #0: cost 1 inf + 0 246.828 * * [simplify]: Extracting #1: cost 6 inf + 0 246.828 * * [simplify]: Extracting #2: cost 9 inf + 1 246.828 * * [simplify]: Extracting #3: cost 11 inf + 1 246.828 * * [simplify]: Extracting #4: cost 10 inf + 2 246.829 * * [simplify]: Extracting #5: cost 2 inf + 1093 246.829 * * [simplify]: Extracting #6: cost 0 inf + 1376 246.830 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 246.830 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 246.830 * * * * [progress]: [ 262 / 307 ] simplifiying candidate # 246.830 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 246.830 * * [simplify]: iters left: 6 (16 enodes) 246.840 * * [simplify]: iters left: 5 (70 enodes) 246.863 * * [simplify]: iters left: 4 (125 enodes) 246.894 * * [simplify]: iters left: 3 (234 enodes) 246.963 * * [simplify]: Extracting #0: cost 1 inf + 0 246.963 * * [simplify]: Extracting #1: cost 32 inf + 0 246.963 * * [simplify]: Extracting #2: cost 100 inf + 1 246.963 * * [simplify]: Extracting #3: cost 144 inf + 2 246.964 * * [simplify]: Extracting #4: cost 143 inf + 706 246.966 * * [simplify]: Extracting #5: cost 86 inf + 11932 246.981 * * [simplify]: Extracting #6: cost 14 inf + 46608 246.997 * * [simplify]: Extracting #7: cost 0 inf + 57375 247.014 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 247.014 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 247.014 * * * * [progress]: [ 263 / 307 ] simplifiying candidate # 247.014 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 247.015 * * [simplify]: iters left: 6 (12 enodes) 247.021 * * [simplify]: iters left: 5 (50 enodes) 247.030 * * [simplify]: iters left: 4 (84 enodes) 247.043 * * [simplify]: iters left: 3 (136 enodes) 247.071 * * [simplify]: iters left: 2 (285 enodes) 247.186 * * [simplify]: Extracting #0: cost 1 inf + 0 247.186 * * [simplify]: Extracting #1: cost 46 inf + 0 247.187 * * [simplify]: Extracting #2: cost 130 inf + 1 247.188 * * [simplify]: Extracting #3: cost 175 inf + 4 247.189 * * [simplify]: Extracting #4: cost 173 inf + 871 247.193 * * [simplify]: Extracting #5: cost 129 inf + 8821 247.203 * * [simplify]: Extracting #6: cost 42 inf + 52243 247.214 * * [simplify]: Extracting #7: cost 1 inf + 81140 247.225 * * [simplify]: Extracting #8: cost 0 inf + 81414 247.239 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 247.239 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))) 247.239 * * * * [progress]: [ 264 / 307 ] simplifiying candidate # 247.240 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 247.240 * * [simplify]: iters left: 6 (17 enodes) 247.249 * * [simplify]: iters left: 5 (71 enodes) 247.271 * * [simplify]: iters left: 4 (111 enodes) 247.310 * * [simplify]: iters left: 3 (164 enodes) 247.367 * * [simplify]: iters left: 2 (280 enodes) 247.445 * * [simplify]: iters left: 1 (471 enodes) 247.649 * * [simplify]: Extracting #0: cost 1 inf + 0 247.649 * * [simplify]: Extracting #1: cost 10 inf + 0 247.649 * * [simplify]: Extracting #2: cost 19 inf + 1 247.649 * * [simplify]: Extracting #3: cost 52 inf + 1 247.649 * * [simplify]: Extracting #4: cost 129 inf + 3 247.650 * * [simplify]: Extracting #5: cost 187 inf + 825 247.652 * * [simplify]: Extracting #6: cost 139 inf + 5986 247.656 * * [simplify]: Extracting #7: cost 70 inf + 20397 247.665 * * [simplify]: Extracting #8: cost 17 inf + 61961 247.686 * * [simplify]: Extracting #9: cost 0 inf + 77683 247.708 * * [simplify]: Extracting #10: cost 0 inf + 77429 247.731 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt k))) 247.731 * [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 k))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 247.731 * * * * [progress]: [ 265 / 307 ] simplifiying candidate # 247.731 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 247.732 * * [simplify]: iters left: 6 (16 enodes) 247.741 * * [simplify]: iters left: 5 (66 enodes) 247.765 * * [simplify]: iters left: 4 (101 enodes) 247.791 * * [simplify]: iters left: 3 (146 enodes) 247.818 * * [simplify]: iters left: 2 (257 enodes) 247.865 * * [simplify]: iters left: 1 (420 enodes) 248.026 * * [simplify]: Extracting #0: cost 1 inf + 0 248.026 * * [simplify]: Extracting #1: cost 7 inf + 0 248.026 * * [simplify]: Extracting #2: cost 14 inf + 1 248.026 * * [simplify]: Extracting #3: cost 46 inf + 1 248.026 * * [simplify]: Extracting #4: cost 127 inf + 3 248.027 * * [simplify]: Extracting #5: cost 176 inf + 1161 248.029 * * [simplify]: Extracting #6: cost 104 inf + 12788 248.036 * * [simplify]: Extracting #7: cost 21 inf + 45385 248.049 * * [simplify]: Extracting #8: cost 0 inf + 64512 248.064 * * [simplify]: Extracting #9: cost 0 inf + 64272 248.084 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt k))) 248.084 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt k))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 248.084 * * * * [progress]: [ 266 / 307 ] simplifiying candidate # 248.085 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 248.085 * * [simplify]: iters left: 6 (7 enodes) 248.089 * * [simplify]: iters left: 5 (23 enodes) 248.096 * * [simplify]: iters left: 4 (29 enodes) 248.104 * * [simplify]: Extracting #0: cost 1 inf + 0 248.104 * * [simplify]: Extracting #1: cost 4 inf + 0 248.104 * * [simplify]: Extracting #2: cost 6 inf + 1 248.104 * * [simplify]: Extracting #3: cost 9 inf + 1 248.104 * * [simplify]: Extracting #4: cost 8 inf + 2 248.104 * * [simplify]: Extracting #5: cost 2 inf + 689 248.105 * * [simplify]: Extracting #6: cost 0 inf + 972 248.105 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 248.105 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (fabs (cbrt k))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 248.105 * * * * [progress]: [ 267 / 307 ] simplifiying candidate # 248.106 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 248.106 * * [simplify]: iters left: 6 (16 enodes) 248.114 * * [simplify]: iters left: 5 (69 enodes) 248.136 * * [simplify]: iters left: 4 (111 enodes) 248.173 * * [simplify]: iters left: 3 (178 enodes) 248.243 * * [simplify]: iters left: 2 (354 enodes) 248.375 * * [simplify]: Extracting #0: cost 1 inf + 0 248.375 * * [simplify]: Extracting #1: cost 39 inf + 0 248.376 * * [simplify]: Extracting #2: cost 119 inf + 1 248.377 * * [simplify]: Extracting #3: cost 175 inf + 3 248.379 * * [simplify]: Extracting #4: cost 182 inf + 711 248.382 * * [simplify]: Extracting #5: cost 134 inf + 11291 248.396 * * [simplify]: Extracting #6: cost 49 inf + 49694 248.422 * * [simplify]: Extracting #7: cost 3 inf + 85206 248.450 * * [simplify]: Extracting #8: cost 0 inf + 86723 248.463 * * [simplify]: Extracting #9: cost 0 inf + 86484 248.476 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 248.476 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 248.476 * * * * [progress]: [ 268 / 307 ] simplifiying candidate # 248.476 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 248.477 * * [simplify]: iters left: 6 (11 enodes) 248.480 * * [simplify]: iters left: 5 (46 enodes) 248.488 * * [simplify]: iters left: 4 (76 enodes) 248.501 * * [simplify]: iters left: 3 (133 enodes) 248.532 * * [simplify]: iters left: 2 (300 enodes) 248.627 * * [simplify]: Extracting #0: cost 1 inf + 0 248.628 * * [simplify]: Extracting #1: cost 41 inf + 0 248.628 * * [simplify]: Extracting #2: cost 122 inf + 1 248.628 * * [simplify]: Extracting #3: cost 169 inf + 4 248.629 * * [simplify]: Extracting #4: cost 166 inf + 1511 248.631 * * [simplify]: Extracting #5: cost 127 inf + 9270 248.637 * * [simplify]: Extracting #6: cost 27 inf + 61104 248.647 * * [simplify]: Extracting #7: cost 0 inf + 79521 248.658 * * [simplify]: Extracting #8: cost 0 inf + 78441 248.669 * * [simplify]: Extracting #9: cost 0 inf + 78400 248.679 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 248.679 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))) 248.679 * * * * [progress]: [ 269 / 307 ] simplifiying candidate # 248.680 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 248.680 * * [simplify]: iters left: 6 (16 enodes) 248.687 * * [simplify]: iters left: 5 (67 enodes) 248.699 * * [simplify]: iters left: 4 (107 enodes) 248.717 * * [simplify]: iters left: 3 (157 enodes) 248.773 * * [simplify]: iters left: 2 (268 enodes) 248.860 * * [simplify]: iters left: 1 (444 enodes) 249.005 * * [simplify]: Extracting #0: cost 1 inf + 0 249.005 * * [simplify]: Extracting #1: cost 10 inf + 0 249.005 * * [simplify]: Extracting #2: cost 18 inf + 1 249.005 * * [simplify]: Extracting #3: cost 46 inf + 1 249.006 * * [simplify]: Extracting #4: cost 123 inf + 3 249.008 * * [simplify]: Extracting #5: cost 174 inf + 1169 249.014 * * [simplify]: Extracting #6: cost 91 inf + 18866 249.030 * * [simplify]: Extracting #7: cost 22 inf + 53040 249.051 * * [simplify]: Extracting #8: cost 0 inf + 73494 249.073 * * [simplify]: Extracting #9: cost 0 inf + 73455 249.094 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 249.094 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 249.094 * * * * [progress]: [ 270 / 307 ] simplifiying candidate # 249.094 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 249.095 * * [simplify]: iters left: 6 (15 enodes) 249.102 * * [simplify]: iters left: 5 (62 enodes) 249.115 * * [simplify]: iters left: 4 (97 enodes) 249.133 * * [simplify]: iters left: 3 (142 enodes) 249.182 * * [simplify]: iters left: 2 (256 enodes) 249.244 * * [simplify]: iters left: 1 (438 enodes) 249.428 * * [simplify]: Extracting #0: cost 1 inf + 0 249.428 * * [simplify]: Extracting #1: cost 7 inf + 0 249.428 * * [simplify]: Extracting #2: cost 13 inf + 1 249.428 * * [simplify]: Extracting #3: cost 47 inf + 1 249.429 * * [simplify]: Extracting #4: cost 132 inf + 3 249.431 * * [simplify]: Extracting #5: cost 178 inf + 1206 249.435 * * [simplify]: Extracting #6: cost 113 inf + 11518 249.447 * * [simplify]: Extracting #7: cost 45 inf + 30361 249.467 * * [simplify]: Extracting #8: cost 4 inf + 63822 249.484 * * [simplify]: Extracting #9: cost 0 inf + 66748 249.494 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 249.495 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 249.495 * * * * [progress]: [ 271 / 307 ] simplifiying candidate # 249.495 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 249.495 * * [simplify]: iters left: 6 (6 enodes) 249.497 * * [simplify]: iters left: 5 (20 enodes) 249.500 * * [simplify]: iters left: 4 (24 enodes) 249.503 * * [simplify]: iters left: 3 (25 enodes) 249.507 * * [simplify]: Extracting #0: cost 1 inf + 0 249.507 * * [simplify]: Extracting #1: cost 4 inf + 0 249.507 * * [simplify]: Extracting #2: cost 5 inf + 1 249.507 * * [simplify]: Extracting #3: cost 7 inf + 1 249.507 * * [simplify]: Extracting #4: cost 6 inf + 2 249.507 * * [simplify]: Extracting #5: cost 0 inf + 490 249.507 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 249.507 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 249.507 * * * * [progress]: [ 272 / 307 ] simplifiying candidate # 249.507 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 249.508 * * [simplify]: iters left: 6 (15 enodes) 249.512 * * [simplify]: iters left: 5 (65 enodes) 249.533 * * [simplify]: iters left: 4 (107 enodes) 249.572 * * [simplify]: iters left: 3 (174 enodes) 249.637 * * [simplify]: iters left: 2 (352 enodes) 249.781 * * [simplify]: Extracting #0: cost 1 inf + 0 249.782 * * [simplify]: Extracting #1: cost 49 inf + 0 249.782 * * [simplify]: Extracting #2: cost 130 inf + 1 249.783 * * [simplify]: Extracting #3: cost 184 inf + 3 249.784 * * [simplify]: Extracting #4: cost 171 inf + 3869 249.792 * * [simplify]: Extracting #5: cost 85 inf + 35623 249.806 * * [simplify]: Extracting #6: cost 3 inf + 89634 249.832 * * [simplify]: Extracting #7: cost 0 inf + 89523 249.860 * * [simplify]: Extracting #8: cost 0 inf + 89483 249.888 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 249.888 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 249.888 * * * * [progress]: [ 273 / 307 ] simplifiying candidate # 249.888 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 249.888 * * [simplify]: iters left: 6 (10 enodes) 249.895 * * [simplify]: iters left: 5 (43 enodes) 249.910 * * [simplify]: iters left: 4 (68 enodes) 249.934 * * [simplify]: iters left: 3 (113 enodes) 249.963 * * [simplify]: iters left: 2 (234 enodes) 250.045 * * [simplify]: iters left: 1 (492 enodes) 250.329 * * [simplify]: Extracting #0: cost 1 inf + 0 250.329 * * [simplify]: Extracting #1: cost 48 inf + 0 250.331 * * [simplify]: Extracting #2: cost 187 inf + 3 250.333 * * [simplify]: Extracting #3: cost 257 inf + 8 250.335 * * [simplify]: Extracting #4: cost 258 inf + 184 250.346 * * [simplify]: Extracting #5: cost 179 inf + 12651 250.368 * * [simplify]: Extracting #6: cost 52 inf + 75348 250.391 * * [simplify]: Extracting #7: cost 0 inf + 113335 250.410 * * [simplify]: Extracting #8: cost 0 inf + 112671 250.445 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 250.445 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 250.446 * * * * [progress]: [ 274 / 307 ] simplifiying candidate # 250.446 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 250.446 * * [simplify]: iters left: 6 (15 enodes) 250.455 * * [simplify]: iters left: 5 (64 enodes) 250.480 * * [simplify]: iters left: 4 (106 enodes) 250.511 * * [simplify]: iters left: 3 (156 enodes) 250.558 * * [simplify]: iters left: 2 (247 enodes) 250.625 * * [simplify]: iters left: 1 (430 enodes) 250.805 * * [simplify]: Extracting #0: cost 1 inf + 0 250.805 * * [simplify]: Extracting #1: cost 6 inf + 0 250.805 * * [simplify]: Extracting #2: cost 9 inf + 1 250.805 * * [simplify]: Extracting #3: cost 35 inf + 1 250.805 * * [simplify]: Extracting #4: cost 109 inf + 2 250.806 * * [simplify]: Extracting #5: cost 167 inf + 176 250.811 * * [simplify]: Extracting #6: cost 168 inf + 560 250.813 * * [simplify]: Extracting #7: cost 89 inf + 12705 250.820 * * [simplify]: Extracting #8: cost 23 inf + 43764 250.834 * * [simplify]: Extracting #9: cost 0 inf + 63192 250.844 * * [simplify]: Extracting #10: cost 0 inf + 62596 250.854 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 250.855 * [simplify]: Simplified (2 1) 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)))))) 250.855 * * * * [progress]: [ 275 / 307 ] simplifiying candidate # 250.855 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 250.855 * * [simplify]: iters left: 6 (14 enodes) 250.860 * * [simplify]: iters left: 5 (59 enodes) 250.879 * * [simplify]: iters left: 4 (95 enodes) 250.908 * * [simplify]: iters left: 3 (138 enodes) 250.932 * * [simplify]: iters left: 2 (221 enodes) 251.006 * * [simplify]: iters left: 1 (402 enodes) 251.185 * * [simplify]: Extracting #0: cost 1 inf + 0 251.185 * * [simplify]: Extracting #1: cost 6 inf + 0 251.185 * * [simplify]: Extracting #2: cost 32 inf + 1 251.185 * * [simplify]: Extracting #3: cost 116 inf + 2 251.186 * * [simplify]: Extracting #4: cost 165 inf + 177 251.187 * * [simplify]: Extracting #5: cost 165 inf + 519 251.189 * * [simplify]: Extracting #6: cost 98 inf + 10432 251.196 * * [simplify]: Extracting #7: cost 15 inf + 49492 251.205 * * [simplify]: Extracting #8: cost 1 inf + 60053 251.215 * * [simplify]: Extracting #9: cost 0 inf + 60468 251.227 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 251.227 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 251.227 * * * * [progress]: [ 276 / 307 ] simplifiying candidate # 251.228 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) 1)) 251.228 * * [simplify]: iters left: 5 (4 enodes) 251.232 * * [simplify]: iters left: 4 (14 enodes) 251.234 * * [simplify]: iters left: 3 (16 enodes) 251.235 * * [simplify]: Extracting #0: cost 1 inf + 0 251.236 * * [simplify]: Extracting #1: cost 0 inf + 1 251.236 * [simplify]: Simplified to 1 251.236 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 251.236 * * * * [progress]: [ 277 / 307 ] simplifiying candidate # 251.236 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 251.236 * * [simplify]: iters left: 6 (14 enodes) 251.241 * * [simplify]: iters left: 5 (62 enodes) 251.253 * * [simplify]: iters left: 4 (105 enodes) 251.283 * * [simplify]: iters left: 3 (170 enodes) 251.319 * * [simplify]: iters left: 2 (312 enodes) 251.450 * * [simplify]: Extracting #0: cost 1 inf + 0 251.450 * * [simplify]: Extracting #1: cost 21 inf + 0 251.451 * * [simplify]: Extracting #2: cost 97 inf + 2 251.452 * * [simplify]: Extracting #3: cost 145 inf + 176 251.453 * * [simplify]: Extracting #4: cost 143 inf + 802 251.456 * * [simplify]: Extracting #5: cost 102 inf + 5613 251.464 * * [simplify]: Extracting #6: cost 28 inf + 33839 251.480 * * [simplify]: Extracting #7: cost 0 inf + 50696 251.495 * * [simplify]: Extracting #8: cost 0 inf + 50565 251.505 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 251.505 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 251.505 * * * * [progress]: [ 278 / 307 ] simplifiying candidate # 251.506 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 251.506 * * [simplify]: iters left: 6 (11 enodes) 251.510 * * [simplify]: iters left: 5 (46 enodes) 251.518 * * [simplify]: iters left: 4 (76 enodes) 251.534 * * [simplify]: iters left: 3 (133 enodes) 251.576 * * [simplify]: iters left: 2 (300 enodes) 251.687 * * [simplify]: Extracting #0: cost 1 inf + 0 251.687 * * [simplify]: Extracting #1: cost 41 inf + 0 251.688 * * [simplify]: Extracting #2: cost 122 inf + 1 251.689 * * [simplify]: Extracting #3: cost 169 inf + 4 251.690 * * [simplify]: Extracting #4: cost 166 inf + 1511 251.693 * * [simplify]: Extracting #5: cost 127 inf + 9270 251.707 * * [simplify]: Extracting #6: cost 27 inf + 61104 251.727 * * [simplify]: Extracting #7: cost 0 inf + 79521 251.748 * * [simplify]: Extracting #8: cost 0 inf + 78441 251.768 * * [simplify]: Extracting #9: cost 0 inf + 78400 251.789 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 251.789 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))) 251.789 * * * * [progress]: [ 279 / 307 ] simplifiying candidate # 251.790 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 251.790 * * [simplify]: iters left: 6 (16 enodes) 251.799 * * [simplify]: iters left: 5 (67 enodes) 251.813 * * [simplify]: iters left: 4 (107 enodes) 251.831 * * [simplify]: iters left: 3 (157 enodes) 251.866 * * [simplify]: iters left: 2 (268 enodes) 251.930 * * [simplify]: iters left: 1 (444 enodes) 252.118 * * [simplify]: Extracting #0: cost 1 inf + 0 252.118 * * [simplify]: Extracting #1: cost 10 inf + 0 252.119 * * [simplify]: Extracting #2: cost 18 inf + 1 252.119 * * [simplify]: Extracting #3: cost 46 inf + 1 252.119 * * [simplify]: Extracting #4: cost 123 inf + 3 252.121 * * [simplify]: Extracting #5: cost 174 inf + 1169 252.127 * * [simplify]: Extracting #6: cost 91 inf + 18866 252.137 * * [simplify]: Extracting #7: cost 22 inf + 53040 252.148 * * [simplify]: Extracting #8: cost 0 inf + 73494 252.159 * * [simplify]: Extracting #9: cost 0 inf + 73455 252.171 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 252.171 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 252.171 * * * * [progress]: [ 280 / 307 ] simplifiying candidate # 252.172 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 252.172 * * [simplify]: iters left: 6 (15 enodes) 252.180 * * [simplify]: iters left: 5 (62 enodes) 252.199 * * [simplify]: iters left: 4 (97 enodes) 252.222 * * [simplify]: iters left: 3 (142 enodes) 252.247 * * [simplify]: iters left: 2 (256 enodes) 252.312 * * [simplify]: iters left: 1 (438 enodes) 252.541 * * [simplify]: Extracting #0: cost 1 inf + 0 252.542 * * [simplify]: Extracting #1: cost 7 inf + 0 252.542 * * [simplify]: Extracting #2: cost 13 inf + 1 252.542 * * [simplify]: Extracting #3: cost 47 inf + 1 252.543 * * [simplify]: Extracting #4: cost 132 inf + 3 252.544 * * [simplify]: Extracting #5: cost 178 inf + 1206 252.549 * * [simplify]: Extracting #6: cost 113 inf + 11518 252.561 * * [simplify]: Extracting #7: cost 45 inf + 30361 252.581 * * [simplify]: Extracting #8: cost 4 inf + 63822 252.602 * * [simplify]: Extracting #9: cost 0 inf + 66748 252.624 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 252.624 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 252.625 * * * * [progress]: [ 281 / 307 ] simplifiying candidate # 252.625 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 252.625 * * [simplify]: iters left: 6 (6 enodes) 252.628 * * [simplify]: iters left: 5 (20 enodes) 252.635 * * [simplify]: iters left: 4 (24 enodes) 252.638 * * [simplify]: iters left: 3 (25 enodes) 252.641 * * [simplify]: Extracting #0: cost 1 inf + 0 252.641 * * [simplify]: Extracting #1: cost 4 inf + 0 252.641 * * [simplify]: Extracting #2: cost 5 inf + 1 252.641 * * [simplify]: Extracting #3: cost 7 inf + 1 252.642 * * [simplify]: Extracting #4: cost 6 inf + 2 252.642 * * [simplify]: Extracting #5: cost 0 inf + 490 252.642 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 252.642 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 252.642 * * * * [progress]: [ 282 / 307 ] simplifiying candidate # 252.642 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 252.642 * * [simplify]: iters left: 6 (15 enodes) 252.647 * * [simplify]: iters left: 5 (65 enodes) 252.658 * * [simplify]: iters left: 4 (107 enodes) 252.696 * * [simplify]: iters left: 3 (174 enodes) 252.735 * * [simplify]: iters left: 2 (352 enodes) 252.860 * * [simplify]: Extracting #0: cost 1 inf + 0 252.860 * * [simplify]: Extracting #1: cost 49 inf + 0 252.860 * * [simplify]: Extracting #2: cost 130 inf + 1 252.861 * * [simplify]: Extracting #3: cost 184 inf + 3 252.862 * * [simplify]: Extracting #4: cost 171 inf + 3869 252.870 * * [simplify]: Extracting #5: cost 85 inf + 35623 252.892 * * [simplify]: Extracting #6: cost 3 inf + 89634 252.906 * * [simplify]: Extracting #7: cost 0 inf + 89523 252.921 * * [simplify]: Extracting #8: cost 0 inf + 89483 252.949 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 252.949 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 252.949 * * * * [progress]: [ 283 / 307 ] simplifiying candidate # 252.950 * [simplify]: Simplifying (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) 252.950 * * [simplify]: iters left: 6 (9 enodes) 252.956 * * [simplify]: iters left: 5 (38 enodes) 252.969 * * [simplify]: iters left: 4 (66 enodes) 252.991 * * [simplify]: iters left: 3 (122 enodes) 253.040 * * [simplify]: iters left: 2 (249 enodes) 253.133 * * [simplify]: Extracting #0: cost 1 inf + 0 253.134 * * [simplify]: Extracting #1: cost 35 inf + 0 253.134 * * [simplify]: Extracting #2: cost 111 inf + 3 253.135 * * [simplify]: Extracting #3: cost 153 inf + 6 253.135 * * [simplify]: Extracting #4: cost 146 inf + 761 253.137 * * [simplify]: Extracting #5: cost 93 inf + 8401 253.142 * * [simplify]: Extracting #6: cost 33 inf + 37537 253.150 * * [simplify]: Extracting #7: cost 3 inf + 59469 253.161 * * [simplify]: Extracting #8: cost 0 inf + 60533 253.175 * * [simplify]: Extracting #9: cost 0 inf + 60140 253.184 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 253.184 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 253.184 * * * * [progress]: [ 284 / 307 ] simplifiying candidate # 253.184 * [simplify]: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 253.184 * * [simplify]: iters left: 6 (14 enodes) 253.188 * * [simplify]: iters left: 5 (59 enodes) 253.203 * * [simplify]: iters left: 4 (97 enodes) 253.234 * * [simplify]: iters left: 3 (148 enodes) 253.270 * * [simplify]: iters left: 2 (242 enodes) 253.359 * * [simplify]: iters left: 1 (422 enodes) 253.501 * * [simplify]: Extracting #0: cost 1 inf + 0 253.501 * * [simplify]: Extracting #1: cost 6 inf + 0 253.501 * * [simplify]: Extracting #2: cost 9 inf + 1 253.501 * * [simplify]: Extracting #3: cost 38 inf + 1 253.502 * * [simplify]: Extracting #4: cost 115 inf + 2 253.503 * * [simplify]: Extracting #5: cost 162 inf + 218 253.505 * * [simplify]: Extracting #6: cost 163 inf + 1059 253.514 * * [simplify]: Extracting #7: cost 99 inf + 11735 253.528 * * [simplify]: Extracting #8: cost 32 inf + 45694 253.539 * * [simplify]: Extracting #9: cost 0 inf + 72510 253.550 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 253.550 * [simplify]: Simplified (2 1) 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)))))) 253.550 * * * * [progress]: [ 285 / 307 ] simplifiying candidate # 253.551 * [simplify]: Simplifying (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 253.551 * * [simplify]: iters left: 6 (13 enodes) 253.555 * * [simplify]: iters left: 5 (54 enodes) 253.564 * * [simplify]: iters left: 4 (89 enodes) 253.579 * * [simplify]: iters left: 3 (134 enodes) 253.606 * * [simplify]: iters left: 2 (217 enodes) 253.653 * * [simplify]: iters left: 1 (399 enodes) 253.770 * * [simplify]: Extracting #0: cost 1 inf + 0 253.770 * * [simplify]: Extracting #1: cost 6 inf + 0 253.770 * * [simplify]: Extracting #2: cost 37 inf + 1 253.770 * * [simplify]: Extracting #3: cost 121 inf + 2 253.771 * * [simplify]: Extracting #4: cost 170 inf + 177 253.772 * * [simplify]: Extracting #5: cost 163 inf + 726 253.774 * * [simplify]: Extracting #6: cost 86 inf + 12861 253.781 * * [simplify]: Extracting #7: cost 28 inf + 40456 253.795 * * [simplify]: Extracting #8: cost 0 inf + 64916 253.813 * [simplify]: Simplified to (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) 253.814 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 253.814 * * * * [progress]: [ 286 / 307 ] simplifiying candidate # 253.814 * [simplify]: Simplifying (/ 1 (/ 1 1)) 253.814 * * [simplify]: iters left: 4 (3 enodes) 253.816 * * [simplify]: iters left: 3 (7 enodes) 253.818 * * [simplify]: iters left: 2 (9 enodes) 253.820 * * [simplify]: Extracting #0: cost 1 inf + 0 253.821 * * [simplify]: Extracting #1: cost 0 inf + 1 253.821 * [simplify]: Simplified to 1 253.821 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 253.821 * * * * [progress]: [ 287 / 307 ] simplifiying candidate # 253.821 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 253.821 * * [simplify]: iters left: 6 (13 enodes) 253.829 * * [simplify]: iters left: 5 (57 enodes) 253.847 * * [simplify]: iters left: 4 (96 enodes) 253.884 * * [simplify]: iters left: 3 (170 enodes) 253.936 * * [simplify]: iters left: 2 (338 enodes) 254.042 * * [simplify]: Extracting #0: cost 1 inf + 0 254.042 * * [simplify]: Extracting #1: cost 31 inf + 0 254.042 * * [simplify]: Extracting #2: cost 119 inf + 2 254.044 * * [simplify]: Extracting #3: cost 167 inf + 301 254.045 * * [simplify]: Extracting #4: cost 168 inf + 558 254.049 * * [simplify]: Extracting #5: cost 114 inf + 9132 254.060 * * [simplify]: Extracting #6: cost 39 inf + 40435 254.070 * * [simplify]: Extracting #7: cost 2 inf + 68434 254.081 * * [simplify]: Extracting #8: cost 0 inf + 68287 254.100 * [simplify]: Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 4)) 254.100 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 254.100 * * * * [progress]: [ 288 / 307 ] simplifiying candidate # 254.100 * [simplify]: Simplifying (/ 1 1) 254.100 * * [simplify]: iters left: 2 (2 enodes) 254.102 * * [simplify]: iters left: 1 (6 enodes) 254.104 * * [simplify]: Extracting #0: cost 1 inf + 0 254.104 * * [simplify]: Extracting #1: cost 0 inf + 1 254.104 * [simplify]: Simplified to 1 254.104 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 254.104 * * * * [progress]: [ 289 / 307 ] simplifiying candidate # 254.104 * [simplify]: Simplifying (/ 1 (sqrt k)) 254.104 * * [simplify]: iters left: 3 (4 enodes) 254.106 * * [simplify]: iters left: 2 (14 enodes) 254.111 * * [simplify]: iters left: 1 (16 enodes) 254.116 * * [simplify]: Extracting #0: cost 1 inf + 0 254.116 * * [simplify]: Extracting #1: cost 4 inf + 0 254.116 * * [simplify]: Extracting #2: cost 5 inf + 1 254.116 * * [simplify]: Extracting #3: cost 3 inf + 43 254.116 * * [simplify]: Extracting #4: cost 1 inf + 166 254.116 * * [simplify]: Extracting #5: cost 0 inf + 248 254.116 * [simplify]: Simplified to (/ 1 (sqrt k)) 254.116 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 254.116 * * * * [progress]: [ 290 / 307 ] simplifiying candidate # 254.117 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 254.117 * * [simplify]: iters left: 6 (12 enodes) 254.124 * * [simplify]: iters left: 5 (48 enodes) 254.141 * * [simplify]: iters left: 4 (83 enodes) 254.175 * * [simplify]: iters left: 3 (143 enodes) 254.235 * * [simplify]: iters left: 2 (290 enodes) 254.362 * * [simplify]: Extracting #0: cost 1 inf + 0 254.363 * * [simplify]: Extracting #1: cost 38 inf + 0 254.363 * * [simplify]: Extracting #2: cost 103 inf + 1 254.364 * * [simplify]: Extracting #3: cost 102 inf + 255 254.365 * * [simplify]: Extracting #4: cost 95 inf + 714 254.368 * * [simplify]: Extracting #5: cost 69 inf + 9869 254.377 * * [simplify]: Extracting #6: cost 5 inf + 47179 254.394 * * [simplify]: Extracting #7: cost 0 inf + 51073 254.406 * [simplify]: Simplified to (/ (sqrt (* n (* 2 PI))) (sqrt k)) 254.406 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* n (* 2 PI))) (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))) 254.406 * * * * [progress]: [ 291 / 307 ] simplifiying candidate # 254.407 * [simplify]: Simplifying (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt 1)) 254.407 * * [simplify]: iters left: 6 (14 enodes) 254.416 * * [simplify]: iters left: 5 (59 enodes) 254.436 * * [simplify]: iters left: 4 (94 enodes) 254.464 * * [simplify]: iters left: 3 (143 enodes) 254.510 * * [simplify]: iters left: 2 (245 enodes) 254.577 * * [simplify]: iters left: 1 (476 enodes) 254.815 * * [simplify]: Extracting #0: cost 1 inf + 0 254.815 * * [simplify]: Extracting #1: cost 42 inf + 0 254.816 * * [simplify]: Extracting #2: cost 129 inf + 1 254.817 * * [simplify]: Extracting #3: cost 189 inf + 46 254.820 * * [simplify]: Extracting #4: cost 180 inf + 3622 254.832 * * [simplify]: Extracting #5: cost 82 inf + 44126 254.862 * * [simplify]: Extracting #6: cost 6 inf + 93400 254.894 * * [simplify]: Extracting #7: cost 0 inf + 97973 254.915 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 254.915 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 254.915 * * * * [progress]: [ 292 / 307 ] simplifiying candidate # 254.916 * [simplify]: Simplifying (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 254.916 * * [simplify]: iters left: 6 (14 enodes) 254.921 * * [simplify]: iters left: 5 (59 enodes) 254.931 * * [simplify]: iters left: 4 (94 enodes) 254.954 * * [simplify]: iters left: 3 (143 enodes) 254.979 * * [simplify]: iters left: 2 (245 enodes) 255.055 * * [simplify]: iters left: 1 (476 enodes) 255.250 * * [simplify]: Extracting #0: cost 1 inf + 0 255.250 * * [simplify]: Extracting #1: cost 42 inf + 0 255.251 * * [simplify]: Extracting #2: cost 129 inf + 1 255.253 * * [simplify]: Extracting #3: cost 189 inf + 46 255.255 * * [simplify]: Extracting #4: cost 180 inf + 3622 255.266 * * [simplify]: Extracting #5: cost 82 inf + 44126 255.281 * * [simplify]: Extracting #6: cost 6 inf + 93400 255.301 * * [simplify]: Extracting #7: cost 0 inf + 97973 255.322 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 255.323 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 255.323 * * * * [progress]: [ 293 / 307 ] simplifiying candidate # 255.323 * [simplify]: Simplifying (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 255.323 * * [simplify]: iters left: 6 (13 enodes) 255.331 * * [simplify]: iters left: 5 (54 enodes) 255.349 * * [simplify]: iters left: 4 (94 enodes) 255.379 * * [simplify]: iters left: 3 (148 enodes) 255.433 * * [simplify]: iters left: 2 (255 enodes) 255.494 * * [simplify]: Extracting #0: cost 1 inf + 0 255.494 * * [simplify]: Extracting #1: cost 19 inf + 0 255.494 * * [simplify]: Extracting #2: cost 62 inf + 1 255.494 * * [simplify]: Extracting #3: cost 116 inf + 45 255.495 * * [simplify]: Extracting #4: cost 117 inf + 717 255.496 * * [simplify]: Extracting #5: cost 75 inf + 7391 255.500 * * [simplify]: Extracting #6: cost 19 inf + 32505 255.509 * * [simplify]: Extracting #7: cost 0 inf + 45979 255.516 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 255.516 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 255.516 * * * * [progress]: [ 294 / 307 ] simplifiying candidate # 255.516 * [simplify]: Simplifying (/ 1 (sqrt k)) 255.516 * * [simplify]: iters left: 3 (4 enodes) 255.519 * * [simplify]: iters left: 2 (14 enodes) 255.523 * * [simplify]: iters left: 1 (16 enodes) 255.528 * * [simplify]: Extracting #0: cost 1 inf + 0 255.528 * * [simplify]: Extracting #1: cost 4 inf + 0 255.528 * * [simplify]: Extracting #2: cost 5 inf + 1 255.528 * * [simplify]: Extracting #3: cost 3 inf + 43 255.528 * * [simplify]: Extracting #4: cost 1 inf + 166 255.528 * * [simplify]: Extracting #5: cost 0 inf + 248 255.528 * [simplify]: Simplified to (/ 1 (sqrt k)) 255.528 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 255.528 * * * * [progress]: [ 295 / 307 ] simplifiying candidate #real (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 255.529 * [simplify]: Simplifying (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 255.529 * * [simplify]: iters left: 6 (14 enodes) 255.536 * * [simplify]: iters left: 5 (56 enodes) 255.555 * * [simplify]: iters left: 4 (98 enodes) 255.577 * * [simplify]: iters left: 3 (155 enodes) 255.614 * * [simplify]: iters left: 2 (307 enodes) 255.699 * * [simplify]: Extracting #0: cost 1 inf + 0 255.699 * * [simplify]: Extracting #1: cost 2 inf + 0 255.699 * * [simplify]: Extracting #2: cost 48 inf + 0 255.699 * * [simplify]: Extracting #3: cost 127 inf + 1 255.700 * * [simplify]: Extracting #4: cost 173 inf + 45 255.701 * * [simplify]: Extracting #5: cost 165 inf + 1254 255.704 * * [simplify]: Extracting #6: cost 100 inf + 23807 255.717 * * [simplify]: Extracting #7: cost 31 inf + 58862 255.735 * * [simplify]: Extracting #8: cost 0 inf + 83324 255.748 * * [simplify]: Extracting #9: cost 0 inf + 81573 255.766 * * [simplify]: Extracting #10: cost 0 inf + 81320 255.782 * [simplify]: Simplified to (real->posit16 (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt k))) 255.782 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt k))))) 255.782 * * * * [progress]: [ 296 / 307 ] simplifiying candidate # 255.782 * [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))))) 255.782 * * [simplify]: iters left: 6 (37 enodes) 255.796 * * [simplify]: iters left: 5 (187 enodes) 255.859 * * [simplify]: iters left: 4 (488 enodes) 256.070 * * [simplify]: Extracting #0: cost 1 inf + 0 256.071 * * [simplify]: Extracting #1: cost 57 inf + 0 256.072 * * [simplify]: Extracting #2: cost 293 inf + 0 256.076 * * [simplify]: Extracting #3: cost 528 inf + 199 256.081 * * [simplify]: Extracting #4: cost 520 inf + 5092 256.106 * * [simplify]: Extracting #5: cost 310 inf + 80654 256.195 * * [simplify]: Extracting #6: cost 37 inf + 224929 256.301 * * [simplify]: Extracting #7: cost 0 inf + 247296 256.381 * * [simplify]: Extracting #8: cost 0 inf + 245223 256.467 * * [simplify]: Extracting #9: cost 0 inf + 245182 256.538 * [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)))))))) 256.538 * [simplify]: Simplified (2 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))))))))))) 256.538 * * * * [progress]: [ 297 / 307 ] simplifiying candidate # 256.538 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 256.538 * * [simplify]: iters left: 6 (15 enodes) 256.548 * * [simplify]: iters left: 5 (65 enodes) 256.559 * * [simplify]: iters left: 4 (123 enodes) 256.596 * * [simplify]: iters left: 3 (362 enodes) 256.777 * * [simplify]: Extracting #0: cost 1 inf + 0 256.777 * * [simplify]: Extracting #1: cost 36 inf + 0 256.778 * * [simplify]: Extracting #2: cost 211 inf + 1 256.779 * * [simplify]: Extracting #3: cost 352 inf + 1140 256.782 * * [simplify]: Extracting #4: cost 240 inf + 23280 256.798 * * [simplify]: Extracting #5: cost 34 inf + 77101 256.813 * * [simplify]: Extracting #6: cost 1 inf + 87428 256.839 * * [simplify]: Extracting #7: cost 0 inf + 88076 256.874 * * [simplify]: Extracting #8: cost 0 inf + 87995 256.905 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 256.906 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))))) 256.906 * * * * [progress]: [ 298 / 307 ] simplifiying candidate # 256.906 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 256.906 * * [simplify]: iters left: 6 (16 enodes) 256.916 * * [simplify]: iters left: 5 (67 enodes) 256.929 * * [simplify]: iters left: 4 (134 enodes) 256.974 * * [simplify]: iters left: 3 (407 enodes) 257.162 * * [simplify]: Extracting #0: cost 1 inf + 0 257.162 * * [simplify]: Extracting #1: cost 38 inf + 0 257.163 * * [simplify]: Extracting #2: cost 238 inf + 72 257.166 * * [simplify]: Extracting #3: cost 449 inf + 680 257.176 * * [simplify]: Extracting #4: cost 307 inf + 33836 257.197 * * [simplify]: Extracting #5: cost 52 inf + 105891 257.218 * * [simplify]: Extracting #6: cost 1 inf + 120745 257.251 * * [simplify]: Extracting #7: cost 0 inf + 120798 257.294 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 257.294 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))))) 257.294 * * * * [progress]: [ 299 / 307 ] simplifiying candidate # 257.295 * [simplify]: Simplifying (* 2 (* n PI)) 257.295 * * [simplify]: iters left: 4 (5 enodes) 257.298 * * [simplify]: iters left: 3 (19 enodes) 257.304 * * [simplify]: iters left: 2 (27 enodes) 257.312 * * [simplify]: iters left: 1 (32 enodes) 257.321 * * [simplify]: Extracting #0: cost 1 inf + 0 257.321 * * [simplify]: Extracting #1: cost 8 inf + 0 257.321 * * [simplify]: Extracting #2: cost 7 inf + 45 257.321 * * [simplify]: Extracting #3: cost 0 inf + 421 257.321 * [simplify]: Simplified to (* (* PI n) 2) 257.321 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 257.322 * * * * [progress]: [ 300 / 307 ] simplifiying candidate # 257.322 * [simplify]: Simplifying (* 2 (* n PI)) 257.322 * * [simplify]: iters left: 4 (5 enodes) 257.325 * * [simplify]: iters left: 3 (19 enodes) 257.330 * * [simplify]: iters left: 2 (27 enodes) 257.338 * * [simplify]: iters left: 1 (32 enodes) 257.346 * * [simplify]: Extracting #0: cost 1 inf + 0 257.346 * * [simplify]: Extracting #1: cost 8 inf + 0 257.346 * * [simplify]: Extracting #2: cost 7 inf + 45 257.347 * * [simplify]: Extracting #3: cost 0 inf + 421 257.347 * [simplify]: Simplified to (* (* PI n) 2) 257.347 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 257.347 * * * * [progress]: [ 301 / 307 ] simplifiying candidate # 257.348 * [simplify]: Simplifying (* 2 (* n PI)) 257.348 * * [simplify]: iters left: 4 (5 enodes) 257.351 * * [simplify]: iters left: 3 (19 enodes) 257.357 * * [simplify]: iters left: 2 (27 enodes) 257.365 * * [simplify]: iters left: 1 (32 enodes) 257.373 * * [simplify]: Extracting #0: cost 1 inf + 0 257.373 * * [simplify]: Extracting #1: cost 8 inf + 0 257.373 * * [simplify]: Extracting #2: cost 7 inf + 45 257.374 * * [simplify]: Extracting #3: cost 0 inf + 421 257.374 * [simplify]: Simplified to (* (* PI n) 2) 257.374 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 257.374 * * * * [progress]: [ 302 / 307 ] simplifiying candidate # 257.375 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 257.375 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 257.375 * * * * [progress]: [ 303 / 307 ] simplifiying candidate # 257.375 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)))))))) 257.375 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 257.376 * * * * [progress]: [ 304 / 307 ] simplifiying candidate # 257.376 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))) 257.376 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 257.376 * * * * [progress]: [ 305 / 307 ] simplifiying candidate # 257.377 * [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))))))))))))) 257.377 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 257.377 * * * * [progress]: [ 306 / 307 ] simplifiying candidate # 257.377 * [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)))))))) 257.377 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 257.377 * * * * [progress]: [ 307 / 307 ] simplifiying candidate # 257.378 * [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)))))))))))) 257.378 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 257.378 * * * [progress]: adding candidates to table 260.945 * [progress]: [Phase 3 of 3] Extracting. 260.945 * * [regime]: Finding splitpoints for: (# # # # # # #) 260.946 * * * [regime-changes]: Trying 2 branch expressions: (n k) 260.946 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 261.011 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 261.088 * * * [regime]: Found split indices: #