15.228 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.083 * * * [progress]: [2/2] Setting up program. 0.086 * [progress]: [Phase 2 of 3] Improving. 0.086 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.086 * * [simplify]: Extracting # 0 : cost 0 0.086 * * [simplify]: Extracting # 1 : cost 0 0.086 * * [simplify]: Extracting # 2 : cost 0 0.086 * * [simplify]: Extracting # 3 : cost 0 0.086 * * [simplify]: Extracting # 4 : cost 0 0.086 * * [simplify]: Extracting # 5 : cost 0 0.086 * * [simplify]: Extracting # 6 : cost 0 0.086 * * [simplify]: Extracting # 7 : cost 0 0.086 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.089 * * [simplify]: Extracting # 0 : cost 0 0.089 * * [simplify]: Extracting # 1 : cost 0 0.089 * * [simplify]: Extracting # 2 : cost 0 0.089 * * [simplify]: Extracting # 3 : cost 0 0.089 * * [simplify]: Extracting # 4 : cost 0 0.089 * * [simplify]: Extracting # 5 : cost 0 0.089 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.095 * * [simplify]: Extracting # 0 : cost 0 0.095 * * [simplify]: Extracting # 1 : cost 0 0.095 * * [simplify]: Extracting # 2 : cost 0 0.095 * * [simplify]: Extracting # 3 : cost 0 0.096 * * [simplify]: Extracting # 4 : cost 0 0.096 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.107 * * [simplify]: Extracting # 0 : cost 0 0.107 * * [simplify]: Extracting # 1 : cost 0 0.107 * * [simplify]: Extracting # 2 : cost 0 0.107 * * [simplify]: Extracting # 3 : cost 0 0.107 * * [simplify]: Extracting # 4 : cost 0 0.107 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.138 * * [simplify]: Extracting # 0 : cost 0 0.138 * * [simplify]: Extracting # 1 : cost 0 0.138 * * [simplify]: Extracting # 2 : cost 0 0.139 * * [simplify]: Extracting # 3 : cost 0 0.139 * * [simplify]: Extracting # 4 : cost 0 0.139 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.281 * * [simplify]: Extracting # 0 : cost 0 0.281 * * [simplify]: Extracting # 1 : cost 0 0.282 * * [simplify]: Extracting # 2 : cost 0 0.283 * * [simplify]: Extracting # 3 : cost 0 0.284 * * [simplify]: Extracting # 4 : cost 0 0.284 * * [simplify]: iteration 5 : 843 enodes (cost 16 ) 1.253 * * [simplify]: Extracting # 0 : cost 0 1.257 * * [simplify]: Extracting # 1 : cost 0 1.259 * * [simplify]: Extracting # 2 : cost 0 1.262 * * [simplify]: Extracting # 3 : cost 0 1.264 * * [simplify]: Extracting # 4 : cost 0 1.269 * * [simplify]: iteration 6 : 3221 enodes (cost 16 ) 2.299 * * [simplify]: Extracting # 0 : cost 0 2.304 * * [simplify]: Extracting # 1 : cost 0 2.309 * * [simplify]: Extracting # 2 : cost 0 2.313 * * [simplify]: Extracting # 3 : cost 0 2.318 * * [simplify]: Extracting # 4 : cost 0 2.322 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 2.322 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 2.322 * * [progress]: iteration 1 / 4 2.322 * * * [progress]: picking best candidate 2.325 * * * * [pick]: Picked # 2.325 * * * [progress]: localizing error 2.338 * * * [progress]: generating rewritten candidates 2.338 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.362 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.367 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.384 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.429 * * * [progress]: generating series expansions 2.429 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.430 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 2.430 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.430 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.430 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.430 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.430 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.431 * [taylor]: Taking taylor expansion of 0.5 in k 2.431 * [backup-simplify]: Simplify 0.5 into 0.5 2.431 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.431 * [taylor]: Taking taylor expansion of 1.0 in k 2.431 * [backup-simplify]: Simplify 1.0 into 1.0 2.431 * [taylor]: Taking taylor expansion of k in k 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 1 into 1 2.431 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.431 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.431 * [taylor]: Taking taylor expansion of 2.0 in k 2.431 * [backup-simplify]: Simplify 2.0 into 2.0 2.431 * [taylor]: Taking taylor expansion of (* n PI) in k 2.431 * [taylor]: Taking taylor expansion of n in k 2.431 * [backup-simplify]: Simplify n into n 2.431 * [taylor]: Taking taylor expansion of PI in k 2.431 * [backup-simplify]: Simplify PI into PI 2.431 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.431 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.431 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.431 * [backup-simplify]: Simplify (- 0) into 0 2.431 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.432 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.432 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.432 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.432 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.432 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.432 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.432 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.432 * [taylor]: Taking taylor expansion of 0.5 in n 2.432 * [backup-simplify]: Simplify 0.5 into 0.5 2.432 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.432 * [taylor]: Taking taylor expansion of 1.0 in n 2.432 * [backup-simplify]: Simplify 1.0 into 1.0 2.432 * [taylor]: Taking taylor expansion of k in n 2.432 * [backup-simplify]: Simplify k into k 2.432 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.432 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.432 * [taylor]: Taking taylor expansion of 2.0 in n 2.432 * [backup-simplify]: Simplify 2.0 into 2.0 2.432 * [taylor]: Taking taylor expansion of (* n PI) in n 2.432 * [taylor]: Taking taylor expansion of n in n 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 1 into 1 2.432 * [taylor]: Taking taylor expansion of PI in n 2.432 * [backup-simplify]: Simplify PI into PI 2.433 * [backup-simplify]: Simplify (* 0 PI) into 0 2.433 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.434 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.435 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.435 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.435 * [backup-simplify]: Simplify (- k) into (- k) 2.435 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.436 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.436 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.437 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 2.438 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2.438 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.438 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.438 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.438 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.438 * [taylor]: Taking taylor expansion of 0.5 in n 2.438 * [backup-simplify]: Simplify 0.5 into 0.5 2.438 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.438 * [taylor]: Taking taylor expansion of 1.0 in n 2.438 * [backup-simplify]: Simplify 1.0 into 1.0 2.438 * [taylor]: Taking taylor expansion of k in n 2.438 * [backup-simplify]: Simplify k into k 2.438 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.438 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.438 * [taylor]: Taking taylor expansion of 2.0 in n 2.438 * [backup-simplify]: Simplify 2.0 into 2.0 2.438 * [taylor]: Taking taylor expansion of (* n PI) in n 2.438 * [taylor]: Taking taylor expansion of n in n 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [taylor]: Taking taylor expansion of PI in n 2.438 * [backup-simplify]: Simplify PI into PI 2.438 * [backup-simplify]: Simplify (* 0 PI) into 0 2.439 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.439 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.440 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.441 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.441 * [backup-simplify]: Simplify (- k) into (- k) 2.441 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.441 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.442 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.442 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 2.443 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2.443 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.443 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.443 * [taylor]: Taking taylor expansion of 0.5 in k 2.443 * [backup-simplify]: Simplify 0.5 into 0.5 2.443 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.443 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.443 * [taylor]: Taking taylor expansion of 1.0 in k 2.443 * [backup-simplify]: Simplify 1.0 into 1.0 2.443 * [taylor]: Taking taylor expansion of k in k 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify 1 into 1 2.443 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.443 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.443 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.443 * [taylor]: Taking taylor expansion of 2.0 in k 2.443 * [backup-simplify]: Simplify 2.0 into 2.0 2.443 * [taylor]: Taking taylor expansion of PI in k 2.443 * [backup-simplify]: Simplify PI into PI 2.444 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.444 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.444 * [taylor]: Taking taylor expansion of (log n) in k 2.444 * [taylor]: Taking taylor expansion of n in k 2.444 * [backup-simplify]: Simplify n into n 2.444 * [backup-simplify]: Simplify (log n) into (log n) 2.445 * [backup-simplify]: Simplify (- 0) into 0 2.445 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.446 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 2.446 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 2.447 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 2.447 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.448 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.449 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.449 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.450 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.450 * [backup-simplify]: Simplify (- 0) into 0 2.451 * [backup-simplify]: Simplify (+ 0 0) into 0 2.451 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 2.452 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.452 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 2.453 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.454 * [taylor]: Taking taylor expansion of 0 in k 2.454 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.455 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.455 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 2.456 * [backup-simplify]: Simplify (+ 0 0) into 0 2.456 * [backup-simplify]: Simplify (- 1) into -1 2.456 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.457 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 2.458 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2.460 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 2.462 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 2.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.463 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.465 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 2.465 * [backup-simplify]: Simplify (- 0) into 0 2.465 * [backup-simplify]: Simplify (+ 0 0) into 0 2.466 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 2.466 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.467 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.469 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.469 * [taylor]: Taking taylor expansion of 0 in k 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.471 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 2.472 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 2.472 * [backup-simplify]: Simplify (+ 0 0) into 0 2.473 * [backup-simplify]: Simplify (- 0) into 0 2.473 * [backup-simplify]: Simplify (+ 0 0) into 0 2.474 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.475 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 2.478 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 2.486 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 2.492 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 2.492 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 2.492 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.492 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.492 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.492 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.492 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.492 * [taylor]: Taking taylor expansion of 0.5 in k 2.492 * [backup-simplify]: Simplify 0.5 into 0.5 2.492 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.492 * [taylor]: Taking taylor expansion of 1.0 in k 2.492 * [backup-simplify]: Simplify 1.0 into 1.0 2.492 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.492 * [taylor]: Taking taylor expansion of k in k 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 1 into 1 2.493 * [backup-simplify]: Simplify (/ 1 1) into 1 2.493 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.493 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.493 * [taylor]: Taking taylor expansion of 2.0 in k 2.493 * [backup-simplify]: Simplify 2.0 into 2.0 2.493 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.493 * [taylor]: Taking taylor expansion of PI in k 2.493 * [backup-simplify]: Simplify PI into PI 2.493 * [taylor]: Taking taylor expansion of n in k 2.493 * [backup-simplify]: Simplify n into n 2.493 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.493 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.493 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.493 * [backup-simplify]: Simplify (- 1) into -1 2.493 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.494 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.494 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.494 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2.494 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.494 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.494 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.494 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.494 * [taylor]: Taking taylor expansion of 0.5 in n 2.494 * [backup-simplify]: Simplify 0.5 into 0.5 2.494 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.494 * [taylor]: Taking taylor expansion of 1.0 in n 2.494 * [backup-simplify]: Simplify 1.0 into 1.0 2.494 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.494 * [taylor]: Taking taylor expansion of k in n 2.494 * [backup-simplify]: Simplify k into k 2.494 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.494 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.494 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.494 * [taylor]: Taking taylor expansion of 2.0 in n 2.494 * [backup-simplify]: Simplify 2.0 into 2.0 2.494 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.494 * [taylor]: Taking taylor expansion of PI in n 2.494 * [backup-simplify]: Simplify PI into PI 2.494 * [taylor]: Taking taylor expansion of n in n 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 1 into 1 2.495 * [backup-simplify]: Simplify (/ PI 1) into PI 2.495 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.496 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.496 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.496 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.496 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.497 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.497 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.498 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.498 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.498 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.498 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.498 * [taylor]: Taking taylor expansion of 0.5 in n 2.498 * [backup-simplify]: Simplify 0.5 into 0.5 2.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.498 * [taylor]: Taking taylor expansion of 1.0 in n 2.498 * [backup-simplify]: Simplify 1.0 into 1.0 2.498 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.498 * [taylor]: Taking taylor expansion of k in n 2.498 * [backup-simplify]: Simplify k into k 2.498 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.498 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.498 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.498 * [taylor]: Taking taylor expansion of 2.0 in n 2.498 * [backup-simplify]: Simplify 2.0 into 2.0 2.498 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.498 * [taylor]: Taking taylor expansion of PI in n 2.498 * [backup-simplify]: Simplify PI into PI 2.498 * [taylor]: Taking taylor expansion of n in n 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify 1 into 1 2.499 * [backup-simplify]: Simplify (/ PI 1) into PI 2.499 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.500 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.500 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.500 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.500 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.501 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.501 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.502 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.502 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.502 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.502 * [taylor]: Taking taylor expansion of 0.5 in k 2.502 * [backup-simplify]: Simplify 0.5 into 0.5 2.502 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.502 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.502 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.502 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.502 * [taylor]: Taking taylor expansion of 2.0 in k 2.502 * [backup-simplify]: Simplify 2.0 into 2.0 2.502 * [taylor]: Taking taylor expansion of PI in k 2.502 * [backup-simplify]: Simplify PI into PI 2.503 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.503 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.503 * [taylor]: Taking taylor expansion of (log n) in k 2.503 * [taylor]: Taking taylor expansion of n in k 2.503 * [backup-simplify]: Simplify n into n 2.503 * [backup-simplify]: Simplify (log n) into (log n) 2.503 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.503 * [taylor]: Taking taylor expansion of 1.0 in k 2.503 * [backup-simplify]: Simplify 1.0 into 1.0 2.503 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.503 * [taylor]: Taking taylor expansion of k in k 2.503 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify 1 into 1 2.504 * [backup-simplify]: Simplify (/ 1 1) into 1 2.504 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.504 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 2.505 * [backup-simplify]: Simplify (- 1) into -1 2.505 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.505 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 2.506 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 2.507 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.508 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.509 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.509 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.510 * [backup-simplify]: Simplify (- 0) into 0 2.510 * [backup-simplify]: Simplify (+ 0 0) into 0 2.510 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.511 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.512 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 2.513 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.513 * [taylor]: Taking taylor expansion of 0 in k 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.514 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.516 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 2.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.516 * [backup-simplify]: Simplify (- 0) into 0 2.516 * [backup-simplify]: Simplify (+ 0 0) into 0 2.517 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 2.518 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.518 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 2.520 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.520 * [taylor]: Taking taylor expansion of 0 in k 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.521 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.524 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 2.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.525 * [backup-simplify]: Simplify (- 0) into 0 2.525 * [backup-simplify]: Simplify (+ 0 0) into 0 2.526 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 2.527 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.528 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 2.529 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.529 * [taylor]: Taking taylor expansion of 0 in k 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 2.530 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 2.530 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.530 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.530 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.530 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.531 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.531 * [taylor]: Taking taylor expansion of 0.5 in k 2.531 * [backup-simplify]: Simplify 0.5 into 0.5 2.531 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.531 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.531 * [taylor]: Taking taylor expansion of k in k 2.531 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify 1 into 1 2.531 * [backup-simplify]: Simplify (/ 1 1) into 1 2.531 * [taylor]: Taking taylor expansion of 1.0 in k 2.531 * [backup-simplify]: Simplify 1.0 into 1.0 2.531 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.531 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.531 * [taylor]: Taking taylor expansion of -2.0 in k 2.531 * [backup-simplify]: Simplify -2.0 into -2.0 2.531 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.531 * [taylor]: Taking taylor expansion of PI in k 2.531 * [backup-simplify]: Simplify PI into PI 2.531 * [taylor]: Taking taylor expansion of n in k 2.531 * [backup-simplify]: Simplify n into n 2.531 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.531 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.531 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.531 * [backup-simplify]: Simplify (+ 1 0) into 1 2.532 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.532 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.532 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2.532 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.532 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.532 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.532 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.532 * [taylor]: Taking taylor expansion of 0.5 in n 2.532 * [backup-simplify]: Simplify 0.5 into 0.5 2.532 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.532 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.532 * [taylor]: Taking taylor expansion of k in n 2.532 * [backup-simplify]: Simplify k into k 2.532 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.532 * [taylor]: Taking taylor expansion of 1.0 in n 2.532 * [backup-simplify]: Simplify 1.0 into 1.0 2.532 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.532 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.532 * [taylor]: Taking taylor expansion of -2.0 in n 2.532 * [backup-simplify]: Simplify -2.0 into -2.0 2.532 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.532 * [taylor]: Taking taylor expansion of PI in n 2.532 * [backup-simplify]: Simplify PI into PI 2.532 * [taylor]: Taking taylor expansion of n in n 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 1 into 1 2.533 * [backup-simplify]: Simplify (/ PI 1) into PI 2.533 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.533 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.534 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.534 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.534 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.535 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.536 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.536 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.536 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.536 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.536 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.536 * [taylor]: Taking taylor expansion of 0.5 in n 2.536 * [backup-simplify]: Simplify 0.5 into 0.5 2.536 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.536 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.536 * [taylor]: Taking taylor expansion of k in n 2.536 * [backup-simplify]: Simplify k into k 2.536 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.536 * [taylor]: Taking taylor expansion of 1.0 in n 2.536 * [backup-simplify]: Simplify 1.0 into 1.0 2.536 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.536 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.536 * [taylor]: Taking taylor expansion of -2.0 in n 2.536 * [backup-simplify]: Simplify -2.0 into -2.0 2.536 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.536 * [taylor]: Taking taylor expansion of PI in n 2.536 * [backup-simplify]: Simplify PI into PI 2.536 * [taylor]: Taking taylor expansion of n in n 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 1 into 1 2.537 * [backup-simplify]: Simplify (/ PI 1) into PI 2.537 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.538 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.538 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.538 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.539 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.539 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.540 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.540 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.540 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.540 * [taylor]: Taking taylor expansion of 0.5 in k 2.540 * [backup-simplify]: Simplify 0.5 into 0.5 2.540 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.540 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.540 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.540 * [taylor]: Taking taylor expansion of k in k 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify 1 into 1 2.540 * [backup-simplify]: Simplify (/ 1 1) into 1 2.540 * [taylor]: Taking taylor expansion of 1.0 in k 2.540 * [backup-simplify]: Simplify 1.0 into 1.0 2.540 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.541 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.541 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.541 * [taylor]: Taking taylor expansion of -2.0 in k 2.541 * [backup-simplify]: Simplify -2.0 into -2.0 2.541 * [taylor]: Taking taylor expansion of PI in k 2.541 * [backup-simplify]: Simplify PI into PI 2.541 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.541 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.541 * [taylor]: Taking taylor expansion of (log n) in k 2.541 * [taylor]: Taking taylor expansion of n in k 2.542 * [backup-simplify]: Simplify n into n 2.542 * [backup-simplify]: Simplify (log n) into (log n) 2.542 * [backup-simplify]: Simplify (+ 1 0) into 1 2.542 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.542 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 2.543 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 2.544 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 2.544 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.545 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.546 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.547 * [backup-simplify]: Simplify (+ 0 0) into 0 2.548 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 2.548 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.549 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 2.550 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.550 * [taylor]: Taking taylor expansion of 0 in k 2.550 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.552 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.553 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 2.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.554 * [backup-simplify]: Simplify (+ 0 0) into 0 2.554 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 2.555 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.556 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 2.557 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.557 * [taylor]: Taking taylor expansion of 0 in k 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.559 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.561 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 2.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.562 * [backup-simplify]: Simplify (+ 0 0) into 0 2.562 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 2.563 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.564 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 2.566 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.566 * [taylor]: Taking taylor expansion of 0 in k 2.566 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2.567 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.567 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 2.567 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.567 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.567 * [taylor]: Taking taylor expansion of 1.0 in k 2.567 * [backup-simplify]: Simplify 1.0 into 1.0 2.567 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.567 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.567 * [taylor]: Taking taylor expansion of k in k 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [backup-simplify]: Simplify (/ 1 1) into 1 2.568 * [backup-simplify]: Simplify (sqrt 0) into 0 2.568 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.568 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.568 * [taylor]: Taking taylor expansion of 1.0 in k 2.568 * [backup-simplify]: Simplify 1.0 into 1.0 2.568 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.568 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.568 * [taylor]: Taking taylor expansion of k in k 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify 1 into 1 2.569 * [backup-simplify]: Simplify (/ 1 1) into 1 2.569 * [backup-simplify]: Simplify (sqrt 0) into 0 2.570 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.570 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.570 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.571 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.578 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.579 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.580 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.583 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.583 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.584 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 2.584 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 2.584 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.585 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.585 * [taylor]: Taking taylor expansion of 1.0 in k 2.585 * [backup-simplify]: Simplify 1.0 into 1.0 2.585 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.585 * [taylor]: Taking taylor expansion of k in k 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify 1 into 1 2.585 * [backup-simplify]: Simplify (sqrt 0) into 0 2.586 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.586 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.586 * [taylor]: Taking taylor expansion of 1.0 in k 2.586 * [backup-simplify]: Simplify 1.0 into 1.0 2.586 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.586 * [taylor]: Taking taylor expansion of k in k 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify 1 into 1 2.586 * [backup-simplify]: Simplify (sqrt 0) into 0 2.587 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.587 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.587 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.588 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.590 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.591 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.591 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.594 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.594 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.595 * [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)))))))) 2.595 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 2.596 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.596 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.596 * [taylor]: Taking taylor expansion of 1.0 in k 2.596 * [backup-simplify]: Simplify 1.0 into 1.0 2.596 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.596 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.596 * [taylor]: Taking taylor expansion of -1 in k 2.596 * [backup-simplify]: Simplify -1 into -1 2.596 * [taylor]: Taking taylor expansion of k in k 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.596 * [backup-simplify]: Simplify (/ -1 1) into -1 2.596 * [backup-simplify]: Simplify (sqrt 0) into 0 2.597 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.597 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.597 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.597 * [taylor]: Taking taylor expansion of 1.0 in k 2.597 * [backup-simplify]: Simplify 1.0 into 1.0 2.597 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.597 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.597 * [taylor]: Taking taylor expansion of -1 in k 2.597 * [backup-simplify]: Simplify -1 into -1 2.597 * [taylor]: Taking taylor expansion of k in k 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify 1 into 1 2.598 * [backup-simplify]: Simplify (/ -1 1) into -1 2.598 * [backup-simplify]: Simplify (sqrt 0) into 0 2.598 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.599 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.599 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.601 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.602 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.602 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.607 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.607 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.608 * [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))))) 2.608 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.609 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.609 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.609 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.609 * [taylor]: Taking taylor expansion of 2.0 in n 2.609 * [backup-simplify]: Simplify 2.0 into 2.0 2.609 * [taylor]: Taking taylor expansion of (* n PI) in n 2.609 * [taylor]: Taking taylor expansion of n in n 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 1 into 1 2.609 * [taylor]: Taking taylor expansion of PI in n 2.609 * [backup-simplify]: Simplify PI into PI 2.609 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.609 * [taylor]: Taking taylor expansion of 2.0 in n 2.609 * [backup-simplify]: Simplify 2.0 into 2.0 2.609 * [taylor]: Taking taylor expansion of (* n PI) in n 2.609 * [taylor]: Taking taylor expansion of n in n 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 1 into 1 2.609 * [taylor]: Taking taylor expansion of PI in n 2.609 * [backup-simplify]: Simplify PI into PI 2.609 * [backup-simplify]: Simplify (* 0 PI) into 0 2.609 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.609 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.611 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.611 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.612 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.612 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.614 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.614 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.615 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.615 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.617 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.617 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.619 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.619 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.621 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.621 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 2.621 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.621 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.622 * [taylor]: Taking taylor expansion of 2.0 in n 2.622 * [backup-simplify]: Simplify 2.0 into 2.0 2.622 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.622 * [taylor]: Taking taylor expansion of PI in n 2.622 * [backup-simplify]: Simplify PI into PI 2.622 * [taylor]: Taking taylor expansion of n in n 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 1 into 1 2.622 * [backup-simplify]: Simplify (/ PI 1) into PI 2.622 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.622 * [taylor]: Taking taylor expansion of 2.0 in n 2.622 * [backup-simplify]: Simplify 2.0 into 2.0 2.622 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.622 * [taylor]: Taking taylor expansion of PI in n 2.622 * [backup-simplify]: Simplify PI into PI 2.622 * [taylor]: Taking taylor expansion of n in n 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 1 into 1 2.622 * [backup-simplify]: Simplify (/ PI 1) into PI 2.623 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.623 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.624 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.625 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.625 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.626 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.626 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.627 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.627 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.629 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.629 * [backup-simplify]: Simplify 0 into 0 2.629 * [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 2.630 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.630 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 2.631 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 2.631 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.631 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.631 * [taylor]: Taking taylor expansion of -2.0 in n 2.631 * [backup-simplify]: Simplify -2.0 into -2.0 2.631 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.631 * [taylor]: Taking taylor expansion of PI in n 2.631 * [backup-simplify]: Simplify PI into PI 2.631 * [taylor]: Taking taylor expansion of n in n 2.631 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify 1 into 1 2.631 * [backup-simplify]: Simplify (/ PI 1) into PI 2.631 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.631 * [taylor]: Taking taylor expansion of -2.0 in n 2.631 * [backup-simplify]: Simplify -2.0 into -2.0 2.631 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.631 * [taylor]: Taking taylor expansion of PI in n 2.631 * [backup-simplify]: Simplify PI into PI 2.631 * [taylor]: Taking taylor expansion of n in n 2.631 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify 1 into 1 2.632 * [backup-simplify]: Simplify (/ PI 1) into PI 2.632 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.632 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.633 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.633 * [backup-simplify]: Simplify 0 into 0 2.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.635 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.635 * [backup-simplify]: Simplify 0 into 0 2.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.636 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.636 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.637 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.637 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.638 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.638 * [backup-simplify]: Simplify 0 into 0 2.639 * [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 2.640 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.640 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 2.640 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.641 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 2.641 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 2.641 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.641 * [taylor]: Taking taylor expansion of 1.0 in n 2.641 * [backup-simplify]: Simplify 1.0 into 1.0 2.641 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.641 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.641 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.641 * [taylor]: Taking taylor expansion of k in n 2.641 * [backup-simplify]: Simplify k into k 2.641 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.641 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 2.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 2.641 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.641 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.641 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.641 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.641 * [taylor]: Taking taylor expansion of 0.5 in n 2.641 * [backup-simplify]: Simplify 0.5 into 0.5 2.641 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.641 * [taylor]: Taking taylor expansion of 1.0 in n 2.641 * [backup-simplify]: Simplify 1.0 into 1.0 2.641 * [taylor]: Taking taylor expansion of k in n 2.641 * [backup-simplify]: Simplify k into k 2.641 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.641 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.641 * [taylor]: Taking taylor expansion of 2.0 in n 2.642 * [backup-simplify]: Simplify 2.0 into 2.0 2.642 * [taylor]: Taking taylor expansion of (* n PI) in n 2.642 * [taylor]: Taking taylor expansion of n in n 2.642 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify 1 into 1 2.642 * [taylor]: Taking taylor expansion of PI in n 2.642 * [backup-simplify]: Simplify PI into PI 2.642 * [backup-simplify]: Simplify (* 0 PI) into 0 2.642 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.643 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.644 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.644 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.644 * [backup-simplify]: Simplify (- k) into (- k) 2.645 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.645 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.645 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.646 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 2.647 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2.647 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.647 * [taylor]: Taking taylor expansion of 1.0 in k 2.647 * [backup-simplify]: Simplify 1.0 into 1.0 2.647 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.647 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.647 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.647 * [taylor]: Taking taylor expansion of k in k 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify 1 into 1 2.647 * [backup-simplify]: Simplify (/ 1 1) into 1 2.648 * [backup-simplify]: Simplify (sqrt 0) into 0 2.649 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.649 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.649 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.649 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.649 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.649 * [taylor]: Taking taylor expansion of 0.5 in k 2.649 * [backup-simplify]: Simplify 0.5 into 0.5 2.649 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.649 * [taylor]: Taking taylor expansion of 1.0 in k 2.649 * [backup-simplify]: Simplify 1.0 into 1.0 2.649 * [taylor]: Taking taylor expansion of k in k 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.649 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.649 * [taylor]: Taking taylor expansion of 2.0 in k 2.649 * [backup-simplify]: Simplify 2.0 into 2.0 2.649 * [taylor]: Taking taylor expansion of (* n PI) in k 2.649 * [taylor]: Taking taylor expansion of n in k 2.649 * [backup-simplify]: Simplify n into n 2.649 * [taylor]: Taking taylor expansion of PI in k 2.649 * [backup-simplify]: Simplify PI into PI 2.649 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.649 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.649 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.649 * [backup-simplify]: Simplify (- 0) into 0 2.650 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.650 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.650 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.650 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.650 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.650 * [taylor]: Taking taylor expansion of 1.0 in k 2.650 * [backup-simplify]: Simplify 1.0 into 1.0 2.650 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.650 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.650 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.650 * [taylor]: Taking taylor expansion of k in k 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify 1 into 1 2.650 * [backup-simplify]: Simplify (/ 1 1) into 1 2.651 * [backup-simplify]: Simplify (sqrt 0) into 0 2.651 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.651 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.651 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.651 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.651 * [taylor]: Taking taylor expansion of 0.5 in k 2.651 * [backup-simplify]: Simplify 0.5 into 0.5 2.651 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.651 * [taylor]: Taking taylor expansion of 1.0 in k 2.652 * [backup-simplify]: Simplify 1.0 into 1.0 2.652 * [taylor]: Taking taylor expansion of k in k 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 1 into 1 2.652 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.652 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.652 * [taylor]: Taking taylor expansion of 2.0 in k 2.652 * [backup-simplify]: Simplify 2.0 into 2.0 2.652 * [taylor]: Taking taylor expansion of (* n PI) in k 2.652 * [taylor]: Taking taylor expansion of n in k 2.652 * [backup-simplify]: Simplify n into n 2.652 * [taylor]: Taking taylor expansion of PI in k 2.652 * [backup-simplify]: Simplify PI into PI 2.652 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.652 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.652 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.652 * [backup-simplify]: Simplify (- 0) into 0 2.652 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.653 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.653 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.653 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.653 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 2.653 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.653 * [taylor]: Taking taylor expansion of 0 in n 2.653 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 2.654 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 2.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 2.655 * [backup-simplify]: Simplify (- 1) into -1 2.655 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.656 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 2.656 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 2.656 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.657 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 2.659 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.659 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.659 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.659 * [taylor]: Taking taylor expansion of +nan.0 in n 2.659 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.659 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.659 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.659 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.659 * [taylor]: Taking taylor expansion of 0.5 in n 2.659 * [backup-simplify]: Simplify 0.5 into 0.5 2.659 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.659 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.659 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.659 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.659 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.659 * [taylor]: Taking taylor expansion of 1.0 in n 2.659 * [backup-simplify]: Simplify 1.0 into 1.0 2.659 * [taylor]: Taking taylor expansion of (log PI) in n 2.659 * [taylor]: Taking taylor expansion of PI in n 2.659 * [backup-simplify]: Simplify PI into PI 2.659 * [backup-simplify]: Simplify (log PI) into (log PI) 2.660 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.661 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.661 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.661 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.661 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.661 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.661 * [taylor]: Taking taylor expansion of 1.0 in n 2.661 * [backup-simplify]: Simplify 1.0 into 1.0 2.661 * [taylor]: Taking taylor expansion of (log n) in n 2.661 * [taylor]: Taking taylor expansion of n in n 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify 1 into 1 2.661 * [backup-simplify]: Simplify (log 1) into 0 2.661 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.661 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.661 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.661 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.661 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.661 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.661 * [taylor]: Taking taylor expansion of 1.0 in n 2.661 * [backup-simplify]: Simplify 1.0 into 1.0 2.661 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.662 * [taylor]: Taking taylor expansion of 2.0 in n 2.662 * [backup-simplify]: Simplify 2.0 into 2.0 2.662 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.662 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.663 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.664 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.664 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.671 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.672 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.672 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.673 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 2.674 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 2.675 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.675 * [backup-simplify]: Simplify 0 into 0 2.675 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 2.676 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 2.677 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 2.677 * [backup-simplify]: Simplify (- 0) into 0 2.677 * [backup-simplify]: Simplify (+ 0 0) into 0 2.678 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 2.679 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 2.679 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.681 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.683 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 2.687 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 2.687 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 2.687 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 2.687 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.687 * [taylor]: Taking taylor expansion of +nan.0 in n 2.687 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.687 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.687 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.687 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.687 * [taylor]: Taking taylor expansion of 0.5 in n 2.687 * [backup-simplify]: Simplify 0.5 into 0.5 2.687 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.687 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.687 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.687 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.687 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.687 * [taylor]: Taking taylor expansion of 1.0 in n 2.687 * [backup-simplify]: Simplify 1.0 into 1.0 2.687 * [taylor]: Taking taylor expansion of (log PI) in n 2.687 * [taylor]: Taking taylor expansion of PI in n 2.687 * [backup-simplify]: Simplify PI into PI 2.687 * [backup-simplify]: Simplify (log PI) into (log PI) 2.688 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.689 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.689 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.689 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.689 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.689 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.689 * [taylor]: Taking taylor expansion of 1.0 in n 2.689 * [backup-simplify]: Simplify 1.0 into 1.0 2.689 * [taylor]: Taking taylor expansion of (log n) in n 2.689 * [taylor]: Taking taylor expansion of n in n 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 1 into 1 2.689 * [backup-simplify]: Simplify (log 1) into 0 2.689 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.689 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.690 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.690 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.690 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.690 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.690 * [taylor]: Taking taylor expansion of 1.0 in n 2.690 * [backup-simplify]: Simplify 1.0 into 1.0 2.690 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.690 * [taylor]: Taking taylor expansion of 2.0 in n 2.690 * [backup-simplify]: Simplify 2.0 into 2.0 2.690 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.690 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.691 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.692 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.692 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.693 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.694 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.695 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.695 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 2.695 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.695 * [taylor]: Taking taylor expansion of +nan.0 in n 2.695 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.695 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.695 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.695 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.695 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.695 * [taylor]: Taking taylor expansion of 0.5 in n 2.695 * [backup-simplify]: Simplify 0.5 into 0.5 2.695 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.695 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.695 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.695 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.695 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.695 * [taylor]: Taking taylor expansion of 1.0 in n 2.695 * [backup-simplify]: Simplify 1.0 into 1.0 2.695 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.695 * [taylor]: Taking taylor expansion of 2.0 in n 2.695 * [backup-simplify]: Simplify 2.0 into 2.0 2.695 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.696 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.697 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.697 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.697 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.697 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.697 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.697 * [taylor]: Taking taylor expansion of 1.0 in n 2.697 * [backup-simplify]: Simplify 1.0 into 1.0 2.697 * [taylor]: Taking taylor expansion of (log PI) in n 2.697 * [taylor]: Taking taylor expansion of PI in n 2.697 * [backup-simplify]: Simplify PI into PI 2.697 * [backup-simplify]: Simplify (log PI) into (log PI) 2.698 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.699 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.699 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.699 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.699 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.699 * [taylor]: Taking taylor expansion of 1.0 in n 2.699 * [backup-simplify]: Simplify 1.0 into 1.0 2.699 * [taylor]: Taking taylor expansion of (log n) in n 2.699 * [taylor]: Taking taylor expansion of n in n 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 1 into 1 2.699 * [backup-simplify]: Simplify (log 1) into 0 2.699 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.699 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.699 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.700 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.700 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.701 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.702 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.703 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.703 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.703 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.703 * [taylor]: Taking taylor expansion of 2.0 in n 2.703 * [backup-simplify]: Simplify 2.0 into 2.0 2.703 * [taylor]: Taking taylor expansion of (* n PI) in n 2.703 * [taylor]: Taking taylor expansion of n in n 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 1 into 1 2.703 * [taylor]: Taking taylor expansion of PI in n 2.703 * [backup-simplify]: Simplify PI into PI 2.703 * [backup-simplify]: Simplify (* 0 PI) into 0 2.704 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.704 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.705 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.706 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.707 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 2.708 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.709 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.711 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.712 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 2.715 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.719 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.722 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 2.724 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 2.725 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 2.725 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.726 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.726 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 2.726 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.727 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 2.728 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 2.728 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 2.729 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 2.730 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 2.731 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 2.732 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 2.733 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.734 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 2.735 * [backup-simplify]: Simplify (- 0) into 0 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.736 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 2.738 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 2.738 * [backup-simplify]: Simplify (- 0) into 0 2.738 * [backup-simplify]: Simplify (+ 0 0) into 0 2.739 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 2.739 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 2.741 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.746 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 2.753 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 2.753 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 2.753 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 2.753 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.753 * [taylor]: Taking taylor expansion of +nan.0 in n 2.753 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.753 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.753 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.753 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.753 * [taylor]: Taking taylor expansion of 0.5 in n 2.753 * [backup-simplify]: Simplify 0.5 into 0.5 2.753 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.753 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.753 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.753 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.753 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.753 * [taylor]: Taking taylor expansion of 1.0 in n 2.753 * [backup-simplify]: Simplify 1.0 into 1.0 2.753 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.753 * [taylor]: Taking taylor expansion of 2.0 in n 2.753 * [backup-simplify]: Simplify 2.0 into 2.0 2.753 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.754 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.755 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.755 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.755 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.755 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.755 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.755 * [taylor]: Taking taylor expansion of 1.0 in n 2.755 * [backup-simplify]: Simplify 1.0 into 1.0 2.755 * [taylor]: Taking taylor expansion of (log n) in n 2.755 * [taylor]: Taking taylor expansion of n in n 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [backup-simplify]: Simplify (log 1) into 0 2.755 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.755 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.755 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.756 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.756 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.756 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.756 * [taylor]: Taking taylor expansion of 1.0 in n 2.756 * [backup-simplify]: Simplify 1.0 into 1.0 2.756 * [taylor]: Taking taylor expansion of (log PI) in n 2.756 * [taylor]: Taking taylor expansion of PI in n 2.756 * [backup-simplify]: Simplify PI into PI 2.756 * [backup-simplify]: Simplify (log PI) into (log PI) 2.756 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.757 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.758 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.759 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.759 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.760 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.761 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.761 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 2.761 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 2.761 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.761 * [taylor]: Taking taylor expansion of +nan.0 in n 2.761 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.761 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.761 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.761 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.761 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.761 * [taylor]: Taking taylor expansion of 0.5 in n 2.761 * [backup-simplify]: Simplify 0.5 into 0.5 2.761 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.761 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.761 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.761 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.761 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.761 * [taylor]: Taking taylor expansion of 1.0 in n 2.761 * [backup-simplify]: Simplify 1.0 into 1.0 2.761 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.761 * [taylor]: Taking taylor expansion of 2.0 in n 2.761 * [backup-simplify]: Simplify 2.0 into 2.0 2.762 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.762 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.768 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.768 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.768 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.768 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.768 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.768 * [taylor]: Taking taylor expansion of 1.0 in n 2.768 * [backup-simplify]: Simplify 1.0 into 1.0 2.768 * [taylor]: Taking taylor expansion of (log PI) in n 2.768 * [taylor]: Taking taylor expansion of PI in n 2.768 * [backup-simplify]: Simplify PI into PI 2.768 * [backup-simplify]: Simplify (log PI) into (log PI) 2.769 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.770 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.770 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.770 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.770 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.770 * [taylor]: Taking taylor expansion of 1.0 in n 2.770 * [backup-simplify]: Simplify 1.0 into 1.0 2.770 * [taylor]: Taking taylor expansion of (log n) in n 2.770 * [taylor]: Taking taylor expansion of n in n 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 1 into 1 2.770 * [backup-simplify]: Simplify (log 1) into 0 2.771 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.771 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.771 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.771 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.772 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.773 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.773 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.774 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.774 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.774 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.774 * [taylor]: Taking taylor expansion of 2.0 in n 2.774 * [backup-simplify]: Simplify 2.0 into 2.0 2.774 * [taylor]: Taking taylor expansion of (* n PI) in n 2.774 * [taylor]: Taking taylor expansion of n in n 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify 1 into 1 2.774 * [taylor]: Taking taylor expansion of PI in n 2.774 * [backup-simplify]: Simplify PI into PI 2.775 * [backup-simplify]: Simplify (* 0 PI) into 0 2.775 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.776 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.777 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.777 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.777 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 2.777 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 2.777 * [taylor]: Taking taylor expansion of +nan.0 in n 2.777 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.777 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 2.777 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.777 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.777 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.777 * [taylor]: Taking taylor expansion of 0.5 in n 2.777 * [backup-simplify]: Simplify 0.5 into 0.5 2.777 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.778 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.778 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.778 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.778 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.778 * [taylor]: Taking taylor expansion of 1.0 in n 2.778 * [backup-simplify]: Simplify 1.0 into 1.0 2.778 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.778 * [taylor]: Taking taylor expansion of 2.0 in n 2.778 * [backup-simplify]: Simplify 2.0 into 2.0 2.778 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.778 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.779 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.779 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.779 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.779 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.779 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.779 * [taylor]: Taking taylor expansion of 1.0 in n 2.779 * [backup-simplify]: Simplify 1.0 into 1.0 2.779 * [taylor]: Taking taylor expansion of (log PI) in n 2.779 * [taylor]: Taking taylor expansion of PI in n 2.779 * [backup-simplify]: Simplify PI into PI 2.780 * [backup-simplify]: Simplify (log PI) into (log PI) 2.780 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.781 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.781 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.781 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.781 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.781 * [taylor]: Taking taylor expansion of 1.0 in n 2.781 * [backup-simplify]: Simplify 1.0 into 1.0 2.781 * [taylor]: Taking taylor expansion of (log n) in n 2.781 * [taylor]: Taking taylor expansion of n in n 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 1 into 1 2.781 * [backup-simplify]: Simplify (log 1) into 0 2.782 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.782 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.782 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.782 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.783 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.784 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.785 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.785 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.785 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.785 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.785 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.785 * [taylor]: Taking taylor expansion of 2.0 in n 2.785 * [backup-simplify]: Simplify 2.0 into 2.0 2.785 * [taylor]: Taking taylor expansion of (* n PI) in n 2.785 * [taylor]: Taking taylor expansion of n in n 2.786 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify 1 into 1 2.786 * [taylor]: Taking taylor expansion of PI in n 2.786 * [backup-simplify]: Simplify PI into PI 2.786 * [backup-simplify]: Simplify (* 0 PI) into 0 2.786 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.787 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.788 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.789 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.789 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.790 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.791 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.793 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.794 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.795 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.796 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.797 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 2.798 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.800 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.802 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.808 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 2.816 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) 2.825 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 2.835 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 2.844 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 2.863 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 2.863 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 2.863 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.863 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.863 * [taylor]: Taking taylor expansion of 1.0 in n 2.863 * [backup-simplify]: Simplify 1.0 into 1.0 2.863 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.863 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.863 * [taylor]: Taking taylor expansion of k in n 2.863 * [backup-simplify]: Simplify k into k 2.864 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 2.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 2.864 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.864 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.864 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.864 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.864 * [taylor]: Taking taylor expansion of 0.5 in n 2.864 * [backup-simplify]: Simplify 0.5 into 0.5 2.864 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.864 * [taylor]: Taking taylor expansion of 1.0 in n 2.864 * [backup-simplify]: Simplify 1.0 into 1.0 2.864 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.864 * [taylor]: Taking taylor expansion of k in n 2.864 * [backup-simplify]: Simplify k into k 2.864 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.864 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.864 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.864 * [taylor]: Taking taylor expansion of 2.0 in n 2.864 * [backup-simplify]: Simplify 2.0 into 2.0 2.864 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.864 * [taylor]: Taking taylor expansion of PI in n 2.864 * [backup-simplify]: Simplify PI into PI 2.864 * [taylor]: Taking taylor expansion of n in n 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify 1 into 1 2.864 * [backup-simplify]: Simplify (/ PI 1) into PI 2.865 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.865 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.865 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.865 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.865 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.866 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.867 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.868 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.868 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.868 * [taylor]: Taking taylor expansion of 1.0 in k 2.868 * [backup-simplify]: Simplify 1.0 into 1.0 2.868 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.868 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.868 * [taylor]: Taking taylor expansion of k in k 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify 1 into 1 2.868 * [backup-simplify]: Simplify (sqrt 0) into 0 2.869 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.869 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.869 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.869 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.869 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.869 * [taylor]: Taking taylor expansion of 0.5 in k 2.869 * [backup-simplify]: Simplify 0.5 into 0.5 2.869 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.869 * [taylor]: Taking taylor expansion of 1.0 in k 2.869 * [backup-simplify]: Simplify 1.0 into 1.0 2.869 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.869 * [taylor]: Taking taylor expansion of k in k 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify 1 into 1 2.869 * [backup-simplify]: Simplify (/ 1 1) into 1 2.870 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.870 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.870 * [taylor]: Taking taylor expansion of 2.0 in k 2.870 * [backup-simplify]: Simplify 2.0 into 2.0 2.870 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.870 * [taylor]: Taking taylor expansion of PI in k 2.870 * [backup-simplify]: Simplify PI into PI 2.870 * [taylor]: Taking taylor expansion of n in k 2.870 * [backup-simplify]: Simplify n into n 2.870 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.870 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.870 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.870 * [backup-simplify]: Simplify (- 1) into -1 2.870 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.870 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.871 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.871 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2.871 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.871 * [taylor]: Taking taylor expansion of 1.0 in k 2.871 * [backup-simplify]: Simplify 1.0 into 1.0 2.871 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.871 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.871 * [taylor]: Taking taylor expansion of k in k 2.871 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify 1 into 1 2.871 * [backup-simplify]: Simplify (sqrt 0) into 0 2.872 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.872 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.872 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.872 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.872 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.872 * [taylor]: Taking taylor expansion of 0.5 in k 2.872 * [backup-simplify]: Simplify 0.5 into 0.5 2.872 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.872 * [taylor]: Taking taylor expansion of 1.0 in k 2.872 * [backup-simplify]: Simplify 1.0 into 1.0 2.872 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.872 * [taylor]: Taking taylor expansion of k in k 2.872 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify 1 into 1 2.872 * [backup-simplify]: Simplify (/ 1 1) into 1 2.872 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.872 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.872 * [taylor]: Taking taylor expansion of 2.0 in k 2.872 * [backup-simplify]: Simplify 2.0 into 2.0 2.872 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.872 * [taylor]: Taking taylor expansion of PI in k 2.872 * [backup-simplify]: Simplify PI into PI 2.872 * [taylor]: Taking taylor expansion of n in k 2.872 * [backup-simplify]: Simplify n into n 2.872 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.873 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.873 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.873 * [backup-simplify]: Simplify (- 1) into -1 2.873 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.873 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.873 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.874 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2.874 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 2.874 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.874 * [taylor]: Taking taylor expansion of 0 in n 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.875 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.875 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.875 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.875 * [taylor]: Taking taylor expansion of +nan.0 in n 2.875 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.875 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.875 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.875 * [taylor]: Taking taylor expansion of 0.5 in n 2.875 * [backup-simplify]: Simplify 0.5 into 0.5 2.875 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.875 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.875 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.875 * [taylor]: Taking taylor expansion of 2.0 in n 2.875 * [backup-simplify]: Simplify 2.0 into 2.0 2.875 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.875 * [taylor]: Taking taylor expansion of PI in n 2.875 * [backup-simplify]: Simplify PI into PI 2.875 * [taylor]: Taking taylor expansion of n in n 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (/ PI 1) into PI 2.876 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.876 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.876 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.876 * [taylor]: Taking taylor expansion of 1.0 in n 2.876 * [backup-simplify]: Simplify 1.0 into 1.0 2.876 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.876 * [taylor]: Taking taylor expansion of k in n 2.876 * [backup-simplify]: Simplify k into k 2.877 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.877 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.877 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.877 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.878 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.879 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.880 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.880 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 2.881 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.882 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.882 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.885 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.885 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.885 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.885 * [taylor]: Taking taylor expansion of +nan.0 in n 2.885 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.885 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.885 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.885 * [taylor]: Taking taylor expansion of 0.5 in n 2.885 * [backup-simplify]: Simplify 0.5 into 0.5 2.885 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.885 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.885 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.885 * [taylor]: Taking taylor expansion of 2.0 in n 2.885 * [backup-simplify]: Simplify 2.0 into 2.0 2.885 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.885 * [taylor]: Taking taylor expansion of PI in n 2.885 * [backup-simplify]: Simplify PI into PI 2.885 * [taylor]: Taking taylor expansion of n in n 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify 1 into 1 2.885 * [backup-simplify]: Simplify (/ PI 1) into PI 2.886 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.886 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.886 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.886 * [taylor]: Taking taylor expansion of 1.0 in n 2.886 * [backup-simplify]: Simplify 1.0 into 1.0 2.886 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.886 * [taylor]: Taking taylor expansion of k in n 2.886 * [backup-simplify]: Simplify k into k 2.886 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.887 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.887 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.887 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.888 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.889 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.890 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.890 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 2.891 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.892 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.893 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.893 * [backup-simplify]: Simplify (- 0) into 0 2.893 * [backup-simplify]: Simplify (+ 0 0) into 0 2.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.894 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.895 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.896 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.897 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 2.898 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.899 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 2.899 * [backup-simplify]: Simplify (- 0) into 0 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.902 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.903 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.903 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.903 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.903 * [taylor]: Taking taylor expansion of +nan.0 in n 2.903 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.903 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.903 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.903 * [taylor]: Taking taylor expansion of 0.5 in n 2.903 * [backup-simplify]: Simplify 0.5 into 0.5 2.903 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.903 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.903 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.903 * [taylor]: Taking taylor expansion of 2.0 in n 2.903 * [backup-simplify]: Simplify 2.0 into 2.0 2.903 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.903 * [taylor]: Taking taylor expansion of PI in n 2.903 * [backup-simplify]: Simplify PI into PI 2.903 * [taylor]: Taking taylor expansion of n in n 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [backup-simplify]: Simplify (/ PI 1) into PI 2.904 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.904 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.904 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.904 * [taylor]: Taking taylor expansion of 1.0 in n 2.904 * [backup-simplify]: Simplify 1.0 into 1.0 2.904 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.904 * [taylor]: Taking taylor expansion of k in n 2.904 * [backup-simplify]: Simplify k into k 2.904 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.905 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.905 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.905 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.906 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.907 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.907 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.908 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 2.909 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.910 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.912 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) 2.913 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 2.913 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 2.913 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.913 * [taylor]: Taking taylor expansion of 1.0 in n 2.913 * [backup-simplify]: Simplify 1.0 into 1.0 2.913 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.913 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.913 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.913 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.913 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.913 * [taylor]: Taking taylor expansion of 0.5 in n 2.913 * [backup-simplify]: Simplify 0.5 into 0.5 2.913 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.913 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.913 * [taylor]: Taking taylor expansion of k in n 2.913 * [backup-simplify]: Simplify k into k 2.913 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.913 * [taylor]: Taking taylor expansion of 1.0 in n 2.913 * [backup-simplify]: Simplify 1.0 into 1.0 2.913 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.913 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.913 * [taylor]: Taking taylor expansion of -2.0 in n 2.913 * [backup-simplify]: Simplify -2.0 into -2.0 2.913 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.913 * [taylor]: Taking taylor expansion of PI in n 2.913 * [backup-simplify]: Simplify PI into PI 2.913 * [taylor]: Taking taylor expansion of n in n 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.914 * [backup-simplify]: Simplify (/ PI 1) into PI 2.914 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.914 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.914 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.915 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.915 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.916 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.917 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.917 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.917 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.917 * [taylor]: Taking taylor expansion of -1 in n 2.917 * [backup-simplify]: Simplify -1 into -1 2.917 * [taylor]: Taking taylor expansion of k in n 2.917 * [backup-simplify]: Simplify k into k 2.917 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 2.917 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 2.917 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 2.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 2.918 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 2.918 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.918 * [taylor]: Taking taylor expansion of 1.0 in k 2.918 * [backup-simplify]: Simplify 1.0 into 1.0 2.918 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.918 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.918 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.918 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.918 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.918 * [taylor]: Taking taylor expansion of 0.5 in k 2.918 * [backup-simplify]: Simplify 0.5 into 0.5 2.918 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.918 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.918 * [taylor]: Taking taylor expansion of k in k 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.918 * [backup-simplify]: Simplify (/ 1 1) into 1 2.918 * [taylor]: Taking taylor expansion of 1.0 in k 2.919 * [backup-simplify]: Simplify 1.0 into 1.0 2.919 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.919 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.919 * [taylor]: Taking taylor expansion of -2.0 in k 2.919 * [backup-simplify]: Simplify -2.0 into -2.0 2.919 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.919 * [taylor]: Taking taylor expansion of PI in k 2.919 * [backup-simplify]: Simplify PI into PI 2.919 * [taylor]: Taking taylor expansion of n in k 2.919 * [backup-simplify]: Simplify n into n 2.919 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.919 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.919 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.919 * [backup-simplify]: Simplify (+ 1 0) into 1 2.919 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.919 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.920 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2.920 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.920 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.920 * [taylor]: Taking taylor expansion of -1 in k 2.920 * [backup-simplify]: Simplify -1 into -1 2.920 * [taylor]: Taking taylor expansion of k in k 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 1 into 1 2.920 * [backup-simplify]: Simplify (/ -1 1) into -1 2.920 * [backup-simplify]: Simplify (sqrt 0) into 0 2.921 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.921 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 2.921 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.921 * [taylor]: Taking taylor expansion of 1.0 in k 2.921 * [backup-simplify]: Simplify 1.0 into 1.0 2.921 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.921 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.921 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.922 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.922 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.922 * [taylor]: Taking taylor expansion of 0.5 in k 2.922 * [backup-simplify]: Simplify 0.5 into 0.5 2.922 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.922 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.922 * [taylor]: Taking taylor expansion of k in k 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 1 into 1 2.922 * [backup-simplify]: Simplify (/ 1 1) into 1 2.922 * [taylor]: Taking taylor expansion of 1.0 in k 2.922 * [backup-simplify]: Simplify 1.0 into 1.0 2.922 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.922 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.922 * [taylor]: Taking taylor expansion of -2.0 in k 2.922 * [backup-simplify]: Simplify -2.0 into -2.0 2.922 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.922 * [taylor]: Taking taylor expansion of PI in k 2.922 * [backup-simplify]: Simplify PI into PI 2.922 * [taylor]: Taking taylor expansion of n in k 2.922 * [backup-simplify]: Simplify n into n 2.922 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.922 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.922 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.923 * [backup-simplify]: Simplify (+ 1 0) into 1 2.923 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.923 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.923 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2.923 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.923 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.923 * [taylor]: Taking taylor expansion of -1 in k 2.923 * [backup-simplify]: Simplify -1 into -1 2.923 * [taylor]: Taking taylor expansion of k in k 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify (/ -1 1) into -1 2.924 * [backup-simplify]: Simplify (sqrt 0) into 0 2.925 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.925 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 2.925 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 2.925 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.925 * [taylor]: Taking taylor expansion of +nan.0 in n 2.925 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.925 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.925 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.925 * [taylor]: Taking taylor expansion of 0.5 in n 2.925 * [backup-simplify]: Simplify 0.5 into 0.5 2.925 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.925 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.925 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.925 * [taylor]: Taking taylor expansion of k in n 2.925 * [backup-simplify]: Simplify k into k 2.925 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.925 * [taylor]: Taking taylor expansion of 1.0 in n 2.925 * [backup-simplify]: Simplify 1.0 into 1.0 2.925 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.925 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.925 * [taylor]: Taking taylor expansion of -2.0 in n 2.925 * [backup-simplify]: Simplify -2.0 into -2.0 2.925 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.925 * [taylor]: Taking taylor expansion of PI in n 2.925 * [backup-simplify]: Simplify PI into PI 2.925 * [taylor]: Taking taylor expansion of n in n 2.925 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [backup-simplify]: Simplify (/ PI 1) into PI 2.926 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.927 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.927 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.928 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.928 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 2.929 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.930 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.930 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 2.931 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 2.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.933 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.934 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 2.934 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 2.934 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.934 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.934 * [taylor]: Taking taylor expansion of +nan.0 in n 2.934 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.934 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.934 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.934 * [taylor]: Taking taylor expansion of 0.5 in n 2.934 * [backup-simplify]: Simplify 0.5 into 0.5 2.934 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.934 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.935 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.935 * [taylor]: Taking taylor expansion of k in n 2.935 * [backup-simplify]: Simplify k into k 2.935 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.935 * [taylor]: Taking taylor expansion of 1.0 in n 2.935 * [backup-simplify]: Simplify 1.0 into 1.0 2.935 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.935 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.935 * [taylor]: Taking taylor expansion of -2.0 in n 2.935 * [backup-simplify]: Simplify -2.0 into -2.0 2.935 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.935 * [taylor]: Taking taylor expansion of PI in n 2.935 * [backup-simplify]: Simplify PI into PI 2.935 * [taylor]: Taking taylor expansion of n in n 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 1 into 1 2.935 * [backup-simplify]: Simplify (/ PI 1) into PI 2.935 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.936 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.936 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.937 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.938 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 2.939 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.940 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.940 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 2.941 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 2.942 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 2.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.943 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.944 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.944 * [backup-simplify]: Simplify (+ 0 0) into 0 2.945 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.945 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 2.946 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 2.947 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.948 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 2.948 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.957 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 2.958 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 2.958 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.958 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.958 * [taylor]: Taking taylor expansion of +nan.0 in n 2.958 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.958 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.958 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.958 * [taylor]: Taking taylor expansion of 0.5 in n 2.958 * [backup-simplify]: Simplify 0.5 into 0.5 2.958 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.958 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.958 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.958 * [taylor]: Taking taylor expansion of k in n 2.958 * [backup-simplify]: Simplify k into k 2.958 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.958 * [taylor]: Taking taylor expansion of 1.0 in n 2.958 * [backup-simplify]: Simplify 1.0 into 1.0 2.958 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.958 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.958 * [taylor]: Taking taylor expansion of -2.0 in n 2.958 * [backup-simplify]: Simplify -2.0 into -2.0 2.958 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.958 * [taylor]: Taking taylor expansion of PI in n 2.958 * [backup-simplify]: Simplify PI into PI 2.958 * [taylor]: Taking taylor expansion of n in n 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 1 into 1 2.958 * [backup-simplify]: Simplify (/ PI 1) into PI 2.959 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.959 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.959 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.960 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.961 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 2.962 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.962 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.963 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 2.964 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 2.964 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 2.967 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 2.967 * * * [progress]: simplifying candidates 2.970 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 2.974 * * [simplify]: Extracting # 0 : cost 0 2.974 * * [simplify]: Extracting # 1 : cost 0 2.974 * * [simplify]: Extracting # 2 : cost 0 2.975 * * [simplify]: Extracting # 3 : cost 0 2.975 * * [simplify]: Extracting # 4 : cost 0 2.975 * * [simplify]: Extracting # 5 : cost 0 2.976 * * [simplify]: Extracting # 6 : cost 0 2.976 * * [simplify]: Extracting # 7 : cost 0 2.977 * * [simplify]: Extracting # 8 : cost 0 2.977 * * [simplify]: Extracting # 9 : cost 0 2.978 * * [simplify]: Extracting # 10 : cost 0 2.978 * * [simplify]: Extracting # 11 : cost 0 2.978 * * [simplify]: Extracting # 12 : cost 0 2.979 * * [simplify]: Extracting # 13 : cost 0 2.979 * * [simplify]: Extracting # 14 : cost 0 2.980 * * [simplify]: Extracting # 15 : cost 0 2.980 * * [simplify]: Extracting # 16 : cost 0 2.981 * * [simplify]: Extracting # 17 : cost 0 2.981 * * [simplify]: Extracting # 18 : cost 0 2.982 * * [simplify]: Extracting # 19 : cost 0 2.982 * * [simplify]: Extracting # 20 : cost 0 2.983 * * [simplify]: Extracting # 21 : cost 0 2.984 * * [simplify]: Extracting # 22 : cost 0 2.984 * * [simplify]: Extracting # 23 : cost 0 2.985 * * [simplify]: Extracting # 24 : cost 0 2.985 * * [simplify]: Extracting # 25 : cost 0 2.986 * * [simplify]: Extracting # 26 : cost 0 2.986 * * [simplify]: Extracting # 27 : cost 0 2.987 * * [simplify]: Extracting # 28 : cost 0 2.987 * * [simplify]: Extracting # 29 : cost 0 2.988 * * [simplify]: Extracting # 30 : cost 0 2.988 * * [simplify]: Extracting # 31 : cost 0 2.989 * * [simplify]: Extracting # 32 : cost 0 2.989 * * [simplify]: Extracting # 33 : cost 0 2.990 * * [simplify]: iteration 0 : 361 enodes (cost 2800 ) 3.077 * * [simplify]: Extracting # 0 : cost 0 3.078 * * [simplify]: Extracting # 1 : cost 0 3.079 * * [simplify]: Extracting # 2 : cost 0 3.081 * * [simplify]: Extracting # 3 : cost 0 3.087 * * [simplify]: Extracting # 4 : cost 0 3.088 * * [simplify]: Extracting # 5 : cost 0 3.089 * * [simplify]: Extracting # 6 : cost 0 3.090 * * [simplify]: iteration 1 : 931 enodes (cost 2635 ) 3.434 * * [simplify]: Extracting # 0 : cost 0 3.437 * * [simplify]: Extracting # 1 : cost 0 3.441 * * [simplify]: Extracting # 2 : cost 0 3.445 * * [simplify]: Extracting # 3 : cost 0 3.453 * * [simplify]: Extracting # 4 : cost 0 3.456 * * [simplify]: Extracting # 5 : cost 0 3.460 * * [simplify]: iteration 2 : 3051 enodes (cost 2471 ) 4.173 * * [simplify]: Extracting # 0 : cost 0 4.187 * * [simplify]: Extracting # 1 : cost 0 4.192 * * [simplify]: Extracting # 2 : cost 0 4.198 * * [simplify]: Extracting # 3 : cost 0 4.203 * * [simplify]: Extracting # 4 : cost 0 4.209 * * [simplify]: iteration done: 5001 enodes (cost 2471 ) 4.210 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* PI (* 2.0 n)) (/ (/ (- 1.0 k) 2.0) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (/ (pow 1.0 3) k) (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3)) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (+ (pow (* (* 2.0 PI) n) 0.5) (* (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (* 2.0 PI) n) 0.5)) 0.25)) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2))))) (* (* 0.5 k) (+ (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow (exp (* 0.5 (- 1.0 k))) (- (log (* -2.0 PI)) (log (/ -1 n)))) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (- (+ (- (/ +nan.0 (pow k 2)) (/ +nan.0 k)) +nan.0)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (+ (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (+ (* (- +nan.0) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3))) (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) k)))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 4.211 * * * [progress]: adding candidates to table 4.618 * * [progress]: iteration 2 / 4 4.619 * * * [progress]: picking best candidate 4.644 * * * * [pick]: Picked # 4.644 * * * [progress]: localizing error 4.659 * * * [progress]: generating rewritten candidates 4.659 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 4.666 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 4.677 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.683 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 4.714 * * * [progress]: generating series expansions 4.714 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 4.714 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 4.714 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 4.714 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.714 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.714 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.714 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.714 * [taylor]: Taking taylor expansion of 0.5 in k 4.714 * [backup-simplify]: Simplify 0.5 into 0.5 4.714 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.714 * [taylor]: Taking taylor expansion of 1.0 in k 4.714 * [backup-simplify]: Simplify 1.0 into 1.0 4.714 * [taylor]: Taking taylor expansion of k in k 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify 1 into 1 4.714 * [taylor]: Taking taylor expansion of (log n) in k 4.714 * [taylor]: Taking taylor expansion of n in k 4.714 * [backup-simplify]: Simplify n into n 4.714 * [backup-simplify]: Simplify (log n) into (log n) 4.715 * [backup-simplify]: Simplify (- 0) into 0 4.715 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.715 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.715 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 4.715 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 4.715 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.715 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.716 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.716 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.716 * [taylor]: Taking taylor expansion of 0.5 in n 4.716 * [backup-simplify]: Simplify 0.5 into 0.5 4.716 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.716 * [taylor]: Taking taylor expansion of 1.0 in n 4.716 * [backup-simplify]: Simplify 1.0 into 1.0 4.716 * [taylor]: Taking taylor expansion of k in n 4.716 * [backup-simplify]: Simplify k into k 4.716 * [taylor]: Taking taylor expansion of (log n) in n 4.716 * [taylor]: Taking taylor expansion of n in n 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 1 into 1 4.716 * [backup-simplify]: Simplify (log 1) into 0 4.716 * [backup-simplify]: Simplify (- k) into (- k) 4.716 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.716 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.716 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.716 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 4.716 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 4.717 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.717 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.717 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.717 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.717 * [taylor]: Taking taylor expansion of 0.5 in n 4.717 * [backup-simplify]: Simplify 0.5 into 0.5 4.717 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.717 * [taylor]: Taking taylor expansion of 1.0 in n 4.717 * [backup-simplify]: Simplify 1.0 into 1.0 4.717 * [taylor]: Taking taylor expansion of k in n 4.717 * [backup-simplify]: Simplify k into k 4.717 * [taylor]: Taking taylor expansion of (log n) in n 4.717 * [taylor]: Taking taylor expansion of n in n 4.717 * [backup-simplify]: Simplify 0 into 0 4.717 * [backup-simplify]: Simplify 1 into 1 4.717 * [backup-simplify]: Simplify (log 1) into 0 4.717 * [backup-simplify]: Simplify (- k) into (- k) 4.717 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.717 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.717 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.717 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 4.718 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 4.718 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 4.718 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 4.718 * [taylor]: Taking taylor expansion of 0.5 in k 4.718 * [backup-simplify]: Simplify 0.5 into 0.5 4.718 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 4.718 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.718 * [taylor]: Taking taylor expansion of 1.0 in k 4.718 * [backup-simplify]: Simplify 1.0 into 1.0 4.718 * [taylor]: Taking taylor expansion of k in k 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify 1 into 1 4.718 * [taylor]: Taking taylor expansion of (log n) in k 4.718 * [taylor]: Taking taylor expansion of n in k 4.718 * [backup-simplify]: Simplify n into n 4.718 * [backup-simplify]: Simplify (log n) into (log n) 4.718 * [backup-simplify]: Simplify (- 0) into 0 4.718 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.718 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.718 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 4.718 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 4.719 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 4.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.720 * [backup-simplify]: Simplify (- 0) into 0 4.720 * [backup-simplify]: Simplify (+ 0 0) into 0 4.720 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.720 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.720 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 4.721 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.721 * [taylor]: Taking taylor expansion of 0 in k 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.722 * [backup-simplify]: Simplify (- 1) into -1 4.722 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.722 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 4.722 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 4.723 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 4.723 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 4.724 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.724 * [backup-simplify]: Simplify (- 0) into 0 4.725 * [backup-simplify]: Simplify (+ 0 0) into 0 4.725 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.725 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.726 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 4.726 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.726 * [taylor]: Taking taylor expansion of 0 in k 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.728 * [backup-simplify]: Simplify (- 0) into 0 4.728 * [backup-simplify]: Simplify (+ 0 0) into 0 4.728 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 4.729 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 4.729 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 4.730 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 4.730 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 4.730 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 4.730 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.731 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.731 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.731 * [taylor]: Taking taylor expansion of 0.5 in k 4.731 * [backup-simplify]: Simplify 0.5 into 0.5 4.731 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.731 * [taylor]: Taking taylor expansion of 1.0 in k 4.731 * [backup-simplify]: Simplify 1.0 into 1.0 4.731 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.731 * [taylor]: Taking taylor expansion of k in k 4.731 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify 1 into 1 4.731 * [backup-simplify]: Simplify (/ 1 1) into 1 4.731 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.731 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.731 * [taylor]: Taking taylor expansion of n in k 4.731 * [backup-simplify]: Simplify n into n 4.731 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.731 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 4.731 * [backup-simplify]: Simplify (- 1) into -1 4.732 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.732 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.732 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 4.732 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 4.732 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.732 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.732 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.732 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.732 * [taylor]: Taking taylor expansion of 0.5 in n 4.732 * [backup-simplify]: Simplify 0.5 into 0.5 4.732 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.732 * [taylor]: Taking taylor expansion of 1.0 in n 4.732 * [backup-simplify]: Simplify 1.0 into 1.0 4.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.732 * [taylor]: Taking taylor expansion of k in n 4.732 * [backup-simplify]: Simplify k into k 4.732 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.732 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.732 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.732 * [taylor]: Taking taylor expansion of n in n 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify 1 into 1 4.733 * [backup-simplify]: Simplify (/ 1 1) into 1 4.733 * [backup-simplify]: Simplify (log 1) into 0 4.733 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.733 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.733 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.733 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.733 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 4.733 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.733 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.733 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.734 * [taylor]: Taking taylor expansion of 0.5 in n 4.734 * [backup-simplify]: Simplify 0.5 into 0.5 4.734 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.734 * [taylor]: Taking taylor expansion of 1.0 in n 4.734 * [backup-simplify]: Simplify 1.0 into 1.0 4.734 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.734 * [taylor]: Taking taylor expansion of k in n 4.734 * [backup-simplify]: Simplify k into k 4.734 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.734 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.734 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.734 * [taylor]: Taking taylor expansion of n in n 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 1 into 1 4.734 * [backup-simplify]: Simplify (/ 1 1) into 1 4.734 * [backup-simplify]: Simplify (log 1) into 0 4.734 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.734 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.734 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.735 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.735 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 4.735 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.735 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 4.735 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 4.735 * [taylor]: Taking taylor expansion of -0.5 in k 4.735 * [backup-simplify]: Simplify -0.5 into -0.5 4.735 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 4.735 * [taylor]: Taking taylor expansion of (log n) in k 4.735 * [taylor]: Taking taylor expansion of n in k 4.735 * [backup-simplify]: Simplify n into n 4.735 * [backup-simplify]: Simplify (log n) into (log n) 4.735 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.735 * [taylor]: Taking taylor expansion of 1.0 in k 4.735 * [backup-simplify]: Simplify 1.0 into 1.0 4.735 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.735 * [taylor]: Taking taylor expansion of k in k 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 1 into 1 4.735 * [backup-simplify]: Simplify (/ 1 1) into 1 4.736 * [backup-simplify]: Simplify (- 1) into -1 4.736 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.736 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 4.736 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 4.736 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.736 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.737 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.738 * [backup-simplify]: Simplify (- 0) into 0 4.738 * [backup-simplify]: Simplify (+ 0 0) into 0 4.738 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.738 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.739 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 4.739 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.739 * [taylor]: Taking taylor expansion of 0 in k 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.741 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.741 * [backup-simplify]: Simplify (- 0) into 0 4.742 * [backup-simplify]: Simplify (+ 0 0) into 0 4.742 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.742 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.743 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 4.743 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.743 * [taylor]: Taking taylor expansion of 0 in k 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.746 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.747 * [backup-simplify]: Simplify (- 0) into 0 4.747 * [backup-simplify]: Simplify (+ 0 0) into 0 4.748 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.748 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.749 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 4.749 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.749 * [taylor]: Taking taylor expansion of 0 in k 4.749 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 4.750 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 4.750 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.750 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.750 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.750 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.750 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.750 * [taylor]: Taking taylor expansion of 0.5 in k 4.750 * [backup-simplify]: Simplify 0.5 into 0.5 4.750 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.750 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.750 * [taylor]: Taking taylor expansion of k in k 4.750 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify 1 into 1 4.750 * [backup-simplify]: Simplify (/ 1 1) into 1 4.750 * [taylor]: Taking taylor expansion of 1.0 in k 4.750 * [backup-simplify]: Simplify 1.0 into 1.0 4.750 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.750 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.750 * [taylor]: Taking taylor expansion of -1 in k 4.750 * [backup-simplify]: Simplify -1 into -1 4.750 * [taylor]: Taking taylor expansion of n in k 4.750 * [backup-simplify]: Simplify n into n 4.750 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 4.751 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 4.751 * [backup-simplify]: Simplify (+ 1 0) into 1 4.751 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.751 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 4.751 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 4.751 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.751 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.751 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.751 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.751 * [taylor]: Taking taylor expansion of 0.5 in n 4.751 * [backup-simplify]: Simplify 0.5 into 0.5 4.751 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.751 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.751 * [taylor]: Taking taylor expansion of k in n 4.751 * [backup-simplify]: Simplify k into k 4.751 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.751 * [taylor]: Taking taylor expansion of 1.0 in n 4.751 * [backup-simplify]: Simplify 1.0 into 1.0 4.751 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.751 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.751 * [taylor]: Taking taylor expansion of -1 in n 4.752 * [backup-simplify]: Simplify -1 into -1 4.752 * [taylor]: Taking taylor expansion of n in n 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify 1 into 1 4.752 * [backup-simplify]: Simplify (/ -1 1) into -1 4.752 * [backup-simplify]: Simplify (log -1) into (log -1) 4.752 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.752 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.753 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.753 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 4.753 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.753 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.753 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.753 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.753 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.753 * [taylor]: Taking taylor expansion of 0.5 in n 4.753 * [backup-simplify]: Simplify 0.5 into 0.5 4.753 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.754 * [taylor]: Taking taylor expansion of k in n 4.754 * [backup-simplify]: Simplify k into k 4.754 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.754 * [taylor]: Taking taylor expansion of 1.0 in n 4.754 * [backup-simplify]: Simplify 1.0 into 1.0 4.754 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.754 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.754 * [taylor]: Taking taylor expansion of -1 in n 4.754 * [backup-simplify]: Simplify -1 into -1 4.754 * [taylor]: Taking taylor expansion of n in n 4.754 * [backup-simplify]: Simplify 0 into 0 4.754 * [backup-simplify]: Simplify 1 into 1 4.754 * [backup-simplify]: Simplify (/ -1 1) into -1 4.754 * [backup-simplify]: Simplify (log -1) into (log -1) 4.754 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.754 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.755 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.755 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 4.755 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.756 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 4.756 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 4.756 * [taylor]: Taking taylor expansion of 0.5 in k 4.756 * [backup-simplify]: Simplify 0.5 into 0.5 4.756 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 4.756 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 4.756 * [taylor]: Taking taylor expansion of (log -1) in k 4.756 * [taylor]: Taking taylor expansion of -1 in k 4.756 * [backup-simplify]: Simplify -1 into -1 4.756 * [backup-simplify]: Simplify (log -1) into (log -1) 4.756 * [taylor]: Taking taylor expansion of (log n) in k 4.756 * [taylor]: Taking taylor expansion of n in k 4.756 * [backup-simplify]: Simplify n into n 4.756 * [backup-simplify]: Simplify (log n) into (log n) 4.756 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.756 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.756 * [taylor]: Taking taylor expansion of k in k 4.756 * [backup-simplify]: Simplify 0 into 0 4.756 * [backup-simplify]: Simplify 1 into 1 4.756 * [backup-simplify]: Simplify (/ 1 1) into 1 4.756 * [taylor]: Taking taylor expansion of 1.0 in k 4.756 * [backup-simplify]: Simplify 1.0 into 1.0 4.756 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.757 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 4.757 * [backup-simplify]: Simplify (+ 1 0) into 1 4.757 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 4.757 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 4.758 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.758 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.760 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.760 * [backup-simplify]: Simplify (+ 0 0) into 0 4.760 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.761 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.761 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 4.762 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.762 * [taylor]: Taking taylor expansion of 0 in k 4.762 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.764 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 4.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.764 * [backup-simplify]: Simplify (+ 0 0) into 0 4.765 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.765 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.766 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 4.767 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.767 * [taylor]: Taking taylor expansion of 0 in k 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.770 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 4.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.770 * [backup-simplify]: Simplify (+ 0 0) into 0 4.771 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.771 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.772 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 4.773 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.773 * [taylor]: Taking taylor expansion of 0 in k 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 0 into 0 4.774 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 4.774 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 4.774 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 4.774 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 4.774 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.774 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.774 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.774 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.774 * [taylor]: Taking taylor expansion of 0.5 in k 4.774 * [backup-simplify]: Simplify 0.5 into 0.5 4.774 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.774 * [taylor]: Taking taylor expansion of 1.0 in k 4.774 * [backup-simplify]: Simplify 1.0 into 1.0 4.774 * [taylor]: Taking taylor expansion of k in k 4.774 * [backup-simplify]: Simplify 0 into 0 4.774 * [backup-simplify]: Simplify 1 into 1 4.774 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.774 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.774 * [taylor]: Taking taylor expansion of 2.0 in k 4.775 * [backup-simplify]: Simplify 2.0 into 2.0 4.775 * [taylor]: Taking taylor expansion of PI in k 4.775 * [backup-simplify]: Simplify PI into PI 4.780 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.780 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.780 * [backup-simplify]: Simplify (- 0) into 0 4.781 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.781 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.782 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.783 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 4.783 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.783 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.783 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.783 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.783 * [taylor]: Taking taylor expansion of 0.5 in k 4.784 * [backup-simplify]: Simplify 0.5 into 0.5 4.784 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.784 * [taylor]: Taking taylor expansion of 1.0 in k 4.784 * [backup-simplify]: Simplify 1.0 into 1.0 4.784 * [taylor]: Taking taylor expansion of k in k 4.784 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify 1 into 1 4.784 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.784 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.784 * [taylor]: Taking taylor expansion of 2.0 in k 4.784 * [backup-simplify]: Simplify 2.0 into 2.0 4.784 * [taylor]: Taking taylor expansion of PI in k 4.784 * [backup-simplify]: Simplify PI into PI 4.784 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.785 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.785 * [backup-simplify]: Simplify (- 0) into 0 4.785 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.785 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.786 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.788 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 4.788 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 4.789 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.790 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.790 * [backup-simplify]: Simplify (- 1) into -1 4.790 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.791 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.793 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 4.800 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.803 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 4.804 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.806 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.806 * [backup-simplify]: Simplify (- 0) into 0 4.807 * [backup-simplify]: Simplify (+ 0 0) into 0 4.807 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.808 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 4.816 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.821 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 4.830 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 4.830 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 4.830 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 4.830 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.830 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.830 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.830 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.830 * [taylor]: Taking taylor expansion of 0.5 in k 4.830 * [backup-simplify]: Simplify 0.5 into 0.5 4.830 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.830 * [taylor]: Taking taylor expansion of 1.0 in k 4.830 * [backup-simplify]: Simplify 1.0 into 1.0 4.830 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.830 * [taylor]: Taking taylor expansion of k in k 4.830 * [backup-simplify]: Simplify 0 into 0 4.830 * [backup-simplify]: Simplify 1 into 1 4.831 * [backup-simplify]: Simplify (/ 1 1) into 1 4.831 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.831 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.831 * [taylor]: Taking taylor expansion of 2.0 in k 4.831 * [backup-simplify]: Simplify 2.0 into 2.0 4.831 * [taylor]: Taking taylor expansion of PI in k 4.831 * [backup-simplify]: Simplify PI into PI 4.831 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.832 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.832 * [backup-simplify]: Simplify (- 1) into -1 4.832 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.832 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.833 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 4.834 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 4.834 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.834 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.834 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.834 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.834 * [taylor]: Taking taylor expansion of 0.5 in k 4.834 * [backup-simplify]: Simplify 0.5 into 0.5 4.834 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.834 * [taylor]: Taking taylor expansion of 1.0 in k 4.834 * [backup-simplify]: Simplify 1.0 into 1.0 4.834 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.834 * [taylor]: Taking taylor expansion of k in k 4.834 * [backup-simplify]: Simplify 0 into 0 4.834 * [backup-simplify]: Simplify 1 into 1 4.834 * [backup-simplify]: Simplify (/ 1 1) into 1 4.834 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.834 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.834 * [taylor]: Taking taylor expansion of 2.0 in k 4.834 * [backup-simplify]: Simplify 2.0 into 2.0 4.834 * [taylor]: Taking taylor expansion of PI in k 4.834 * [backup-simplify]: Simplify PI into PI 4.835 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.835 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.836 * [backup-simplify]: Simplify (- 1) into -1 4.836 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.836 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.837 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 4.838 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 4.838 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 4.840 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 4.840 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 4.840 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.840 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.840 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.840 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.840 * [taylor]: Taking taylor expansion of 0.5 in k 4.840 * [backup-simplify]: Simplify 0.5 into 0.5 4.840 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.840 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.840 * [taylor]: Taking taylor expansion of k in k 4.840 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify 1 into 1 4.840 * [backup-simplify]: Simplify (/ 1 1) into 1 4.840 * [taylor]: Taking taylor expansion of 1.0 in k 4.840 * [backup-simplify]: Simplify 1.0 into 1.0 4.840 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.840 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.840 * [taylor]: Taking taylor expansion of 2.0 in k 4.840 * [backup-simplify]: Simplify 2.0 into 2.0 4.840 * [taylor]: Taking taylor expansion of PI in k 4.840 * [backup-simplify]: Simplify PI into PI 4.840 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.841 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.841 * [backup-simplify]: Simplify (+ 1 0) into 1 4.842 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.843 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.843 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 4.843 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.843 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.843 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.843 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.843 * [taylor]: Taking taylor expansion of 0.5 in k 4.843 * [backup-simplify]: Simplify 0.5 into 0.5 4.843 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.843 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.843 * [taylor]: Taking taylor expansion of k in k 4.843 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify 1 into 1 4.844 * [backup-simplify]: Simplify (/ 1 1) into 1 4.844 * [taylor]: Taking taylor expansion of 1.0 in k 4.844 * [backup-simplify]: Simplify 1.0 into 1.0 4.844 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.844 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.844 * [taylor]: Taking taylor expansion of 2.0 in k 4.844 * [backup-simplify]: Simplify 2.0 into 2.0 4.844 * [taylor]: Taking taylor expansion of PI in k 4.844 * [backup-simplify]: Simplify PI into PI 4.844 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.845 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.845 * [backup-simplify]: Simplify (+ 1 0) into 1 4.845 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.846 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.847 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 4.847 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 4.848 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.848 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.848 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.849 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.849 * [taylor]: Taking taylor expansion of 1.0 in k 4.849 * [backup-simplify]: Simplify 1.0 into 1.0 4.849 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.849 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.849 * [taylor]: Taking taylor expansion of k in k 4.849 * [backup-simplify]: Simplify 0 into 0 4.849 * [backup-simplify]: Simplify 1 into 1 4.849 * [backup-simplify]: Simplify (/ 1 1) into 1 4.849 * [backup-simplify]: Simplify (sqrt 0) into 0 4.850 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.850 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.850 * [taylor]: Taking taylor expansion of 1.0 in k 4.850 * [backup-simplify]: Simplify 1.0 into 1.0 4.850 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.850 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.850 * [taylor]: Taking taylor expansion of k in k 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify 1 into 1 4.850 * [backup-simplify]: Simplify (/ 1 1) into 1 4.850 * [backup-simplify]: Simplify (sqrt 0) into 0 4.851 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.851 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.851 * [backup-simplify]: Simplify 0 into 0 4.852 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.852 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.854 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.855 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.856 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.859 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.860 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.861 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.861 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.861 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.861 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.861 * [taylor]: Taking taylor expansion of 1.0 in k 4.861 * [backup-simplify]: Simplify 1.0 into 1.0 4.861 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.861 * [taylor]: Taking taylor expansion of k in k 4.861 * [backup-simplify]: Simplify 0 into 0 4.861 * [backup-simplify]: Simplify 1 into 1 4.861 * [backup-simplify]: Simplify (sqrt 0) into 0 4.862 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.862 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.862 * [taylor]: Taking taylor expansion of 1.0 in k 4.862 * [backup-simplify]: Simplify 1.0 into 1.0 4.862 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.862 * [taylor]: Taking taylor expansion of k in k 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify 1 into 1 4.862 * [backup-simplify]: Simplify (sqrt 0) into 0 4.863 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.863 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.863 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.869 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.871 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.872 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.872 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.876 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.876 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.877 * [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)))))))) 4.877 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.877 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.877 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.877 * [taylor]: Taking taylor expansion of 1.0 in k 4.877 * [backup-simplify]: Simplify 1.0 into 1.0 4.877 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.877 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.877 * [taylor]: Taking taylor expansion of -1 in k 4.877 * [backup-simplify]: Simplify -1 into -1 4.877 * [taylor]: Taking taylor expansion of k in k 4.877 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify 1 into 1 4.877 * [backup-simplify]: Simplify (/ -1 1) into -1 4.878 * [backup-simplify]: Simplify (sqrt 0) into 0 4.878 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.878 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.879 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.879 * [taylor]: Taking taylor expansion of 1.0 in k 4.879 * [backup-simplify]: Simplify 1.0 into 1.0 4.879 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.879 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.879 * [taylor]: Taking taylor expansion of -1 in k 4.879 * [backup-simplify]: Simplify -1 into -1 4.879 * [taylor]: Taking taylor expansion of k in k 4.879 * [backup-simplify]: Simplify 0 into 0 4.879 * [backup-simplify]: Simplify 1 into 1 4.879 * [backup-simplify]: Simplify (/ -1 1) into -1 4.879 * [backup-simplify]: Simplify (sqrt 0) into 0 4.880 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.880 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.880 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.882 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.884 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.884 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.889 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.889 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.889 * [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))))) 4.890 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.890 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) into (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) 4.890 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 4.890 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 4.890 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 4.890 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 4.890 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 4.890 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.890 * [taylor]: Taking taylor expansion of 0.5 in n 4.890 * [backup-simplify]: Simplify 0.5 into 0.5 4.890 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.890 * [taylor]: Taking taylor expansion of 1.0 in n 4.890 * [backup-simplify]: Simplify 1.0 into 1.0 4.890 * [taylor]: Taking taylor expansion of k in n 4.890 * [backup-simplify]: Simplify k into k 4.890 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.890 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.890 * [taylor]: Taking taylor expansion of 2.0 in n 4.890 * [backup-simplify]: Simplify 2.0 into 2.0 4.890 * [taylor]: Taking taylor expansion of PI in n 4.890 * [backup-simplify]: Simplify PI into PI 4.891 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.891 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.891 * [backup-simplify]: Simplify (- k) into (- k) 4.891 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.891 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.892 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) 4.893 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 4.893 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.893 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.893 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.893 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.893 * [taylor]: Taking taylor expansion of 0.5 in n 4.893 * [backup-simplify]: Simplify 0.5 into 0.5 4.893 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.893 * [taylor]: Taking taylor expansion of 1.0 in n 4.893 * [backup-simplify]: Simplify 1.0 into 1.0 4.893 * [taylor]: Taking taylor expansion of k in n 4.893 * [backup-simplify]: Simplify k into k 4.893 * [taylor]: Taking taylor expansion of (log n) in n 4.893 * [taylor]: Taking taylor expansion of n in n 4.893 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify 1 into 1 4.893 * [backup-simplify]: Simplify (log 1) into 0 4.893 * [backup-simplify]: Simplify (- k) into (- k) 4.893 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.893 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.894 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.894 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 4.894 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 4.894 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.894 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.894 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.894 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.894 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.894 * [taylor]: Taking taylor expansion of 0.5 in k 4.894 * [backup-simplify]: Simplify 0.5 into 0.5 4.894 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.894 * [taylor]: Taking taylor expansion of 1.0 in k 4.894 * [backup-simplify]: Simplify 1.0 into 1.0 4.894 * [taylor]: Taking taylor expansion of k in k 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 1 into 1 4.894 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.894 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.894 * [taylor]: Taking taylor expansion of 2.0 in k 4.894 * [backup-simplify]: Simplify 2.0 into 2.0 4.894 * [taylor]: Taking taylor expansion of PI in k 4.894 * [backup-simplify]: Simplify PI into PI 4.894 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.895 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.895 * [backup-simplify]: Simplify (- 0) into 0 4.895 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.896 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.897 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.898 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 4.898 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.898 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.898 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.898 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.898 * [taylor]: Taking taylor expansion of 0.5 in k 4.898 * [backup-simplify]: Simplify 0.5 into 0.5 4.898 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.898 * [taylor]: Taking taylor expansion of 1.0 in k 4.898 * [backup-simplify]: Simplify 1.0 into 1.0 4.898 * [taylor]: Taking taylor expansion of k in k 4.898 * [backup-simplify]: Simplify 0 into 0 4.898 * [backup-simplify]: Simplify 1 into 1 4.898 * [taylor]: Taking taylor expansion of (log n) in k 4.898 * [taylor]: Taking taylor expansion of n in k 4.898 * [backup-simplify]: Simplify n into n 4.898 * [backup-simplify]: Simplify (log n) into (log n) 4.898 * [backup-simplify]: Simplify (- 0) into 0 4.899 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.899 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.899 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 4.899 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 4.899 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.899 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.899 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.899 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.899 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.899 * [taylor]: Taking taylor expansion of 0.5 in k 4.899 * [backup-simplify]: Simplify 0.5 into 0.5 4.899 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.899 * [taylor]: Taking taylor expansion of 1.0 in k 4.899 * [backup-simplify]: Simplify 1.0 into 1.0 4.899 * [taylor]: Taking taylor expansion of k in k 4.899 * [backup-simplify]: Simplify 0 into 0 4.899 * [backup-simplify]: Simplify 1 into 1 4.899 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.899 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.899 * [taylor]: Taking taylor expansion of 2.0 in k 4.899 * [backup-simplify]: Simplify 2.0 into 2.0 4.899 * [taylor]: Taking taylor expansion of PI in k 4.899 * [backup-simplify]: Simplify PI into PI 4.900 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.900 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.900 * [backup-simplify]: Simplify (- 0) into 0 4.901 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.901 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.902 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 4.903 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 4.903 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.903 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.903 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.903 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.903 * [taylor]: Taking taylor expansion of 0.5 in k 4.903 * [backup-simplify]: Simplify 0.5 into 0.5 4.903 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.903 * [taylor]: Taking taylor expansion of 1.0 in k 4.903 * [backup-simplify]: Simplify 1.0 into 1.0 4.904 * [taylor]: Taking taylor expansion of k in k 4.904 * [backup-simplify]: Simplify 0 into 0 4.904 * [backup-simplify]: Simplify 1 into 1 4.904 * [taylor]: Taking taylor expansion of (log n) in k 4.904 * [taylor]: Taking taylor expansion of n in k 4.904 * [backup-simplify]: Simplify n into n 4.904 * [backup-simplify]: Simplify (log n) into (log n) 4.904 * [backup-simplify]: Simplify (- 0) into 0 4.904 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.904 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.904 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 4.904 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 4.905 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.5) (pow n 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 4.905 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.905 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.905 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.905 * [taylor]: Taking taylor expansion of 0.5 in n 4.905 * [backup-simplify]: Simplify 0.5 into 0.5 4.905 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.905 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.905 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.905 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.905 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.906 * [taylor]: Taking taylor expansion of 1.0 in n 4.906 * [backup-simplify]: Simplify 1.0 into 1.0 4.906 * [taylor]: Taking taylor expansion of (log PI) in n 4.906 * [taylor]: Taking taylor expansion of PI in n 4.906 * [backup-simplify]: Simplify PI into PI 4.906 * [backup-simplify]: Simplify (log PI) into (log PI) 4.906 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.907 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.907 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.907 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.907 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.907 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.907 * [taylor]: Taking taylor expansion of 1.0 in n 4.907 * [backup-simplify]: Simplify 1.0 into 1.0 4.907 * [taylor]: Taking taylor expansion of (log n) in n 4.907 * [taylor]: Taking taylor expansion of n in n 4.907 * [backup-simplify]: Simplify 0 into 0 4.907 * [backup-simplify]: Simplify 1 into 1 4.908 * [backup-simplify]: Simplify (log 1) into 0 4.908 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.908 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.908 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.908 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.908 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.908 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.908 * [taylor]: Taking taylor expansion of 1.0 in n 4.908 * [backup-simplify]: Simplify 1.0 into 1.0 4.908 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.908 * [taylor]: Taking taylor expansion of 2.0 in n 4.908 * [backup-simplify]: Simplify 2.0 into 2.0 4.908 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.909 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.910 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.910 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.911 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.912 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.913 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.913 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.914 * [backup-simplify]: Simplify (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) into (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) 4.915 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.915 * [backup-simplify]: Simplify (- 1) into -1 4.915 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.916 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.917 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 4.917 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 4.917 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.918 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.918 * [backup-simplify]: Simplify (- 1) into -1 4.919 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.920 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.922 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 4.928 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.933 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 4.933 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 4.933 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 4.933 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.933 * [taylor]: Taking taylor expansion of 0.5 in n 4.933 * [backup-simplify]: Simplify 0.5 into 0.5 4.933 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.933 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.933 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.933 * [taylor]: Taking taylor expansion of 2.0 in n 4.933 * [backup-simplify]: Simplify 2.0 into 2.0 4.933 * [taylor]: Taking taylor expansion of PI in n 4.933 * [backup-simplify]: Simplify PI into PI 4.934 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.934 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.934 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.934 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.934 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.934 * [taylor]: Taking taylor expansion of 0.5 in n 4.934 * [backup-simplify]: Simplify 0.5 into 0.5 4.934 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.934 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.934 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.934 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.934 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.934 * [taylor]: Taking taylor expansion of 1.0 in n 4.934 * [backup-simplify]: Simplify 1.0 into 1.0 4.934 * [taylor]: Taking taylor expansion of (log PI) in n 4.934 * [taylor]: Taking taylor expansion of PI in n 4.934 * [backup-simplify]: Simplify PI into PI 4.935 * [backup-simplify]: Simplify (log PI) into (log PI) 4.935 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.936 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.936 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.936 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.936 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.936 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.936 * [taylor]: Taking taylor expansion of 1.0 in n 4.936 * [backup-simplify]: Simplify 1.0 into 1.0 4.936 * [taylor]: Taking taylor expansion of (log n) in n 4.936 * [taylor]: Taking taylor expansion of n in n 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 1 into 1 4.936 * [backup-simplify]: Simplify (log 1) into 0 4.937 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.937 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.937 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.937 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.937 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.937 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.937 * [taylor]: Taking taylor expansion of 1.0 in n 4.937 * [backup-simplify]: Simplify 1.0 into 1.0 4.937 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.937 * [taylor]: Taking taylor expansion of 2.0 in n 4.937 * [backup-simplify]: Simplify 2.0 into 2.0 4.937 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.938 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.939 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.939 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.940 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.940 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.941 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.942 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.942 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.942 * [taylor]: Taking taylor expansion of 0.5 in n 4.942 * [backup-simplify]: Simplify 0.5 into 0.5 4.942 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.942 * [taylor]: Taking taylor expansion of (log n) in n 4.942 * [taylor]: Taking taylor expansion of n in n 4.942 * [backup-simplify]: Simplify 0 into 0 4.942 * [backup-simplify]: Simplify 1 into 1 4.942 * [backup-simplify]: Simplify (log 1) into 0 4.942 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.942 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.943 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.943 * [taylor]: Taking taylor expansion of 0.5 in n 4.943 * [backup-simplify]: Simplify 0.5 into 0.5 4.943 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.943 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.943 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.943 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.943 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.943 * [taylor]: Taking taylor expansion of 1.0 in n 4.943 * [backup-simplify]: Simplify 1.0 into 1.0 4.943 * [taylor]: Taking taylor expansion of (log PI) in n 4.943 * [taylor]: Taking taylor expansion of PI in n 4.943 * [backup-simplify]: Simplify PI into PI 4.943 * [backup-simplify]: Simplify (log PI) into (log PI) 4.944 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.944 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.944 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.944 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.944 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.944 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.945 * [taylor]: Taking taylor expansion of 1.0 in n 4.945 * [backup-simplify]: Simplify 1.0 into 1.0 4.945 * [taylor]: Taking taylor expansion of (log n) in n 4.945 * [taylor]: Taking taylor expansion of n in n 4.945 * [backup-simplify]: Simplify 0 into 0 4.945 * [backup-simplify]: Simplify 1 into 1 4.945 * [backup-simplify]: Simplify (log 1) into 0 4.945 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.945 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.945 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.945 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.945 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.945 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.945 * [taylor]: Taking taylor expansion of 1.0 in n 4.945 * [backup-simplify]: Simplify 1.0 into 1.0 4.945 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.945 * [taylor]: Taking taylor expansion of 2.0 in n 4.945 * [backup-simplify]: Simplify 2.0 into 2.0 4.946 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.946 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.947 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.947 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.948 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.949 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.950 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.950 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.952 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.953 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.954 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.954 * [backup-simplify]: Simplify (* (log n) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) 4.955 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) into (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.957 * [backup-simplify]: Simplify (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 4.965 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 4.967 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 4.968 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.969 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 4.970 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.970 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.971 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.971 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.971 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.972 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 4.972 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.973 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 4.974 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.975 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 4.976 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 4.977 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 4.978 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.978 * [backup-simplify]: Simplify 0 into 0 4.979 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.979 * [backup-simplify]: Simplify (- 0) into 0 4.979 * [backup-simplify]: Simplify (+ 0 0) into 0 4.980 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.980 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 4.981 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 4.982 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.983 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.983 * [backup-simplify]: Simplify (- 0) into 0 4.984 * [backup-simplify]: Simplify (+ 0 0) into 0 4.985 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.986 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 4.993 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 5.003 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5)))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 5.003 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 5.003 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 5.003 * [taylor]: Taking taylor expansion of 0.125 in n 5.003 * [backup-simplify]: Simplify 0.125 into 0.125 5.003 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 5.003 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 5.003 * [taylor]: Taking taylor expansion of (log n) in n 5.003 * [taylor]: Taking taylor expansion of n in n 5.003 * [backup-simplify]: Simplify 0 into 0 5.003 * [backup-simplify]: Simplify 1 into 1 5.003 * [backup-simplify]: Simplify (log 1) into 0 5.003 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.003 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.003 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.003 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.003 * [taylor]: Taking taylor expansion of 0.5 in n 5.003 * [backup-simplify]: Simplify 0.5 into 0.5 5.003 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.004 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.004 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.004 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.004 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.004 * [taylor]: Taking taylor expansion of 1.0 in n 5.004 * [backup-simplify]: Simplify 1.0 into 1.0 5.004 * [taylor]: Taking taylor expansion of (log PI) in n 5.004 * [taylor]: Taking taylor expansion of PI in n 5.004 * [backup-simplify]: Simplify PI into PI 5.004 * [backup-simplify]: Simplify (log PI) into (log PI) 5.004 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.005 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.005 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.005 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.005 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.005 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.005 * [taylor]: Taking taylor expansion of 1.0 in n 5.005 * [backup-simplify]: Simplify 1.0 into 1.0 5.005 * [taylor]: Taking taylor expansion of (log n) in n 5.005 * [taylor]: Taking taylor expansion of n in n 5.005 * [backup-simplify]: Simplify 0 into 0 5.005 * [backup-simplify]: Simplify 1 into 1 5.006 * [backup-simplify]: Simplify (log 1) into 0 5.006 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.006 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.006 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.006 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.006 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.006 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.006 * [taylor]: Taking taylor expansion of 1.0 in n 5.006 * [backup-simplify]: Simplify 1.0 into 1.0 5.006 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.006 * [taylor]: Taking taylor expansion of 2.0 in n 5.006 * [backup-simplify]: Simplify 2.0 into 2.0 5.006 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.007 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.008 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.008 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 5.009 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 5.010 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 5.010 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 5.011 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 5.011 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 5.011 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 5.011 * [taylor]: Taking taylor expansion of 0.25 in n 5.011 * [backup-simplify]: Simplify 0.25 into 0.25 5.011 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 5.011 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 5.011 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.011 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.011 * [taylor]: Taking taylor expansion of 2.0 in n 5.011 * [backup-simplify]: Simplify 2.0 into 2.0 5.011 * [taylor]: Taking taylor expansion of PI in n 5.012 * [backup-simplify]: Simplify PI into PI 5.012 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.012 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.012 * [taylor]: Taking taylor expansion of (log n) in n 5.012 * [taylor]: Taking taylor expansion of n in n 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 1 into 1 5.013 * [backup-simplify]: Simplify (log 1) into 0 5.013 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 5.013 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 5.013 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 5.013 * [taylor]: Taking taylor expansion of 0.5 in n 5.013 * [backup-simplify]: Simplify 0.5 into 0.5 5.013 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 5.013 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 5.013 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.013 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.013 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.013 * [taylor]: Taking taylor expansion of 1.0 in n 5.013 * [backup-simplify]: Simplify 1.0 into 1.0 5.013 * [taylor]: Taking taylor expansion of (log PI) in n 5.013 * [taylor]: Taking taylor expansion of PI in n 5.013 * [backup-simplify]: Simplify PI into PI 5.013 * [backup-simplify]: Simplify (log PI) into (log PI) 5.014 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.015 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.015 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 5.015 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.015 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.015 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.015 * [taylor]: Taking taylor expansion of 1.0 in n 5.015 * [backup-simplify]: Simplify 1.0 into 1.0 5.015 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.015 * [taylor]: Taking taylor expansion of 2.0 in n 5.015 * [backup-simplify]: Simplify 2.0 into 2.0 5.015 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.016 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.016 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.016 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.016 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.016 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.016 * [taylor]: Taking taylor expansion of 1.0 in n 5.016 * [backup-simplify]: Simplify 1.0 into 1.0 5.016 * [taylor]: Taking taylor expansion of (log n) in n 5.017 * [taylor]: Taking taylor expansion of n in n 5.017 * [backup-simplify]: Simplify 0 into 0 5.017 * [backup-simplify]: Simplify 1 into 1 5.017 * [backup-simplify]: Simplify (log 1) into 0 5.017 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.017 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.017 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.017 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 5.018 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 5.019 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 5.020 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 5.021 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 5.021 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 5.021 * [taylor]: Taking taylor expansion of 0.125 in n 5.021 * [backup-simplify]: Simplify 0.125 into 0.125 5.021 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 5.021 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 5.021 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.021 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.021 * [taylor]: Taking taylor expansion of 2.0 in n 5.021 * [backup-simplify]: Simplify 2.0 into 2.0 5.021 * [taylor]: Taking taylor expansion of PI in n 5.021 * [backup-simplify]: Simplify PI into PI 5.021 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.022 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.022 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.022 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.022 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.022 * [taylor]: Taking taylor expansion of 0.5 in n 5.022 * [backup-simplify]: Simplify 0.5 into 0.5 5.022 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.022 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.022 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.022 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.022 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.022 * [taylor]: Taking taylor expansion of 1.0 in n 5.022 * [backup-simplify]: Simplify 1.0 into 1.0 5.022 * [taylor]: Taking taylor expansion of (log PI) in n 5.022 * [taylor]: Taking taylor expansion of PI in n 5.022 * [backup-simplify]: Simplify PI into PI 5.022 * [backup-simplify]: Simplify (log PI) into (log PI) 5.023 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.024 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.024 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.024 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.024 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.024 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.024 * [taylor]: Taking taylor expansion of 1.0 in n 5.024 * [backup-simplify]: Simplify 1.0 into 1.0 5.024 * [taylor]: Taking taylor expansion of (log n) in n 5.024 * [taylor]: Taking taylor expansion of n in n 5.024 * [backup-simplify]: Simplify 0 into 0 5.024 * [backup-simplify]: Simplify 1 into 1 5.024 * [backup-simplify]: Simplify (log 1) into 0 5.024 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.025 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.025 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.025 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.025 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.025 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.025 * [taylor]: Taking taylor expansion of 1.0 in n 5.025 * [backup-simplify]: Simplify 1.0 into 1.0 5.025 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.025 * [taylor]: Taking taylor expansion of 2.0 in n 5.025 * [backup-simplify]: Simplify 2.0 into 2.0 5.025 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.025 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.026 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.027 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 5.027 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 5.028 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 5.029 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 5.030 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 5.030 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.030 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.030 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 5.031 * [backup-simplify]: Simplify (* (pow (log n) 2) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) 5.032 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.032 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.033 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 5.035 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (log n)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) 5.036 * [backup-simplify]: Simplify (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) into (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 5.037 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 5.039 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 5.041 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 5.044 * [backup-simplify]: Simplify (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) into (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 5.048 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 5.058 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 5.067 * [backup-simplify]: Simplify (+ (* (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (* 1 k)) (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 5.067 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))) into (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) 5.067 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 5.067 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 5.067 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.067 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 5.067 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 5.067 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.067 * [taylor]: Taking taylor expansion of 0.5 in n 5.067 * [backup-simplify]: Simplify 0.5 into 0.5 5.067 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.067 * [taylor]: Taking taylor expansion of 1.0 in n 5.067 * [backup-simplify]: Simplify 1.0 into 1.0 5.067 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.067 * [taylor]: Taking taylor expansion of k in n 5.068 * [backup-simplify]: Simplify k into k 5.068 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.068 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.068 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.068 * [taylor]: Taking taylor expansion of n in n 5.068 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify 1 into 1 5.068 * [backup-simplify]: Simplify (/ 1 1) into 1 5.068 * [backup-simplify]: Simplify (log 1) into 0 5.068 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.068 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.068 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.069 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.069 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 5.069 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 5.069 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.069 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 5.069 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 5.069 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.069 * [taylor]: Taking taylor expansion of 0.5 in n 5.069 * [backup-simplify]: Simplify 0.5 into 0.5 5.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.069 * [taylor]: Taking taylor expansion of 1.0 in n 5.069 * [backup-simplify]: Simplify 1.0 into 1.0 5.069 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.069 * [taylor]: Taking taylor expansion of k in n 5.069 * [backup-simplify]: Simplify k into k 5.069 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.069 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.069 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.069 * [taylor]: Taking taylor expansion of 2.0 in n 5.069 * [backup-simplify]: Simplify 2.0 into 2.0 5.069 * [taylor]: Taking taylor expansion of PI in n 5.069 * [backup-simplify]: Simplify PI into PI 5.069 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.070 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.070 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.070 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.070 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.071 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 5.072 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 5.072 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.072 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.072 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 5.072 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 5.072 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.072 * [taylor]: Taking taylor expansion of 0.5 in k 5.072 * [backup-simplify]: Simplify 0.5 into 0.5 5.072 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.072 * [taylor]: Taking taylor expansion of 1.0 in k 5.072 * [backup-simplify]: Simplify 1.0 into 1.0 5.072 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.072 * [taylor]: Taking taylor expansion of k in k 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify 1 into 1 5.072 * [backup-simplify]: Simplify (/ 1 1) into 1 5.072 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 5.072 * [taylor]: Taking taylor expansion of (/ 1 n) in k 5.072 * [taylor]: Taking taylor expansion of n in k 5.072 * [backup-simplify]: Simplify n into n 5.072 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.072 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 5.073 * [backup-simplify]: Simplify (- 1) into -1 5.073 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.073 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.073 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 5.073 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 5.073 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.073 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.073 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.073 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.073 * [taylor]: Taking taylor expansion of 0.5 in k 5.073 * [backup-simplify]: Simplify 0.5 into 0.5 5.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.073 * [taylor]: Taking taylor expansion of 1.0 in k 5.073 * [backup-simplify]: Simplify 1.0 into 1.0 5.073 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.073 * [taylor]: Taking taylor expansion of k in k 5.073 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify 1 into 1 5.074 * [backup-simplify]: Simplify (/ 1 1) into 1 5.074 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.074 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.074 * [taylor]: Taking taylor expansion of 2.0 in k 5.074 * [backup-simplify]: Simplify 2.0 into 2.0 5.074 * [taylor]: Taking taylor expansion of PI in k 5.074 * [backup-simplify]: Simplify PI into PI 5.074 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.075 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.075 * [backup-simplify]: Simplify (- 1) into -1 5.075 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.075 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.076 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 5.077 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 5.077 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.077 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.077 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 5.077 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 5.077 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.077 * [taylor]: Taking taylor expansion of 0.5 in k 5.077 * [backup-simplify]: Simplify 0.5 into 0.5 5.077 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.077 * [taylor]: Taking taylor expansion of 1.0 in k 5.077 * [backup-simplify]: Simplify 1.0 into 1.0 5.077 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.077 * [taylor]: Taking taylor expansion of k in k 5.077 * [backup-simplify]: Simplify 0 into 0 5.077 * [backup-simplify]: Simplify 1 into 1 5.077 * [backup-simplify]: Simplify (/ 1 1) into 1 5.078 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 5.078 * [taylor]: Taking taylor expansion of (/ 1 n) in k 5.078 * [taylor]: Taking taylor expansion of n in k 5.078 * [backup-simplify]: Simplify n into n 5.078 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.078 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 5.078 * [backup-simplify]: Simplify (- 1) into -1 5.078 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.078 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.078 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 5.079 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 5.079 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.079 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.079 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.079 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.079 * [taylor]: Taking taylor expansion of 0.5 in k 5.079 * [backup-simplify]: Simplify 0.5 into 0.5 5.079 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.079 * [taylor]: Taking taylor expansion of 1.0 in k 5.079 * [backup-simplify]: Simplify 1.0 into 1.0 5.079 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.079 * [taylor]: Taking taylor expansion of k in k 5.079 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify 1 into 1 5.079 * [backup-simplify]: Simplify (/ 1 1) into 1 5.079 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.079 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.079 * [taylor]: Taking taylor expansion of 2.0 in k 5.079 * [backup-simplify]: Simplify 2.0 into 2.0 5.079 * [taylor]: Taking taylor expansion of PI in k 5.079 * [backup-simplify]: Simplify PI into PI 5.080 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.080 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.081 * [backup-simplify]: Simplify (- 1) into -1 5.081 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.082 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.083 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 5.083 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 5.084 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) 5.084 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 5.084 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 5.084 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 5.084 * [taylor]: Taking taylor expansion of 0.5 in n 5.084 * [backup-simplify]: Simplify 0.5 into 0.5 5.084 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 5.084 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.084 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.084 * [taylor]: Taking taylor expansion of n in n 5.084 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify 1 into 1 5.085 * [backup-simplify]: Simplify (/ 1 1) into 1 5.085 * [backup-simplify]: Simplify (log 1) into 0 5.085 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.085 * [taylor]: Taking taylor expansion of 1.0 in n 5.085 * [backup-simplify]: Simplify 1.0 into 1.0 5.085 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.085 * [taylor]: Taking taylor expansion of k in n 5.085 * [backup-simplify]: Simplify k into k 5.085 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.085 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.085 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.085 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.085 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 5.086 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 5.086 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 5.086 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 5.086 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 5.086 * [taylor]: Taking taylor expansion of 0.5 in n 5.086 * [backup-simplify]: Simplify 0.5 into 0.5 5.086 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 5.086 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.086 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.086 * [taylor]: Taking taylor expansion of 2.0 in n 5.086 * [backup-simplify]: Simplify 2.0 into 2.0 5.086 * [taylor]: Taking taylor expansion of PI in n 5.086 * [backup-simplify]: Simplify PI into PI 5.086 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.087 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.087 * [taylor]: Taking taylor expansion of 1.0 in n 5.087 * [backup-simplify]: Simplify 1.0 into 1.0 5.087 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.087 * [taylor]: Taking taylor expansion of k in n 5.087 * [backup-simplify]: Simplify k into k 5.087 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.087 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.087 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.088 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 5.088 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 5.089 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 5.090 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 5.090 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 5.091 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 5.091 * [taylor]: Taking taylor expansion of 0 in n 5.091 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.092 * [backup-simplify]: Simplify (- 0) into 0 5.092 * [backup-simplify]: Simplify (+ 0 0) into 0 5.092 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.093 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.094 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 5.095 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 5.096 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.096 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.096 * [backup-simplify]: Simplify (- 0) into 0 5.096 * [backup-simplify]: Simplify (+ 0 0) into 0 5.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.098 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 5.098 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 5.098 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.099 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 5.099 * [backup-simplify]: Simplify 0 into 0 5.100 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 5.100 * [taylor]: Taking taylor expansion of 0 in n 5.100 * [backup-simplify]: Simplify 0 into 0 5.100 * [backup-simplify]: Simplify 0 into 0 5.100 * [backup-simplify]: Simplify 0 into 0 5.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.101 * [backup-simplify]: Simplify (- 0) into 0 5.101 * [backup-simplify]: Simplify (+ 0 0) into 0 5.102 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.104 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 5.104 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 5.105 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 5.107 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.107 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.107 * [backup-simplify]: Simplify (- 0) into 0 5.108 * [backup-simplify]: Simplify (+ 0 0) into 0 5.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.109 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.110 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 5.110 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k))))))) into 0 5.111 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.112 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 5.112 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 5.113 * [taylor]: Taking taylor expansion of 0 in n 5.113 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k))))))) into (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) 5.115 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) 5.115 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 5.115 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 5.115 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.115 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 5.115 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 5.115 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.115 * [taylor]: Taking taylor expansion of 0.5 in n 5.115 * [backup-simplify]: Simplify 0.5 into 0.5 5.115 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.115 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.115 * [taylor]: Taking taylor expansion of k in n 5.115 * [backup-simplify]: Simplify k into k 5.115 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.115 * [taylor]: Taking taylor expansion of 1.0 in n 5.115 * [backup-simplify]: Simplify 1.0 into 1.0 5.115 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.115 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.115 * [taylor]: Taking taylor expansion of -1 in n 5.115 * [backup-simplify]: Simplify -1 into -1 5.115 * [taylor]: Taking taylor expansion of n in n 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 1 into 1 5.115 * [backup-simplify]: Simplify (/ -1 1) into -1 5.116 * [backup-simplify]: Simplify (log -1) into (log -1) 5.116 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.116 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.116 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.116 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 5.117 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 5.117 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.117 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 5.117 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 5.117 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.117 * [taylor]: Taking taylor expansion of 0.5 in n 5.117 * [backup-simplify]: Simplify 0.5 into 0.5 5.117 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.117 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.117 * [taylor]: Taking taylor expansion of k in n 5.117 * [backup-simplify]: Simplify k into k 5.117 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.117 * [taylor]: Taking taylor expansion of 1.0 in n 5.117 * [backup-simplify]: Simplify 1.0 into 1.0 5.117 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.117 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.117 * [taylor]: Taking taylor expansion of 2.0 in n 5.117 * [backup-simplify]: Simplify 2.0 into 2.0 5.117 * [taylor]: Taking taylor expansion of PI in n 5.117 * [backup-simplify]: Simplify PI into PI 5.117 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.118 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.118 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.118 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.119 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 5.119 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 5.120 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 5.120 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.120 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 5.120 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 5.120 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.120 * [taylor]: Taking taylor expansion of 0.5 in k 5.120 * [backup-simplify]: Simplify 0.5 into 0.5 5.120 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.120 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.120 * [taylor]: Taking taylor expansion of k in k 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 1 into 1 5.120 * [backup-simplify]: Simplify (/ 1 1) into 1 5.120 * [taylor]: Taking taylor expansion of 1.0 in k 5.120 * [backup-simplify]: Simplify 1.0 into 1.0 5.120 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 5.120 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.120 * [taylor]: Taking taylor expansion of -1 in k 5.120 * [backup-simplify]: Simplify -1 into -1 5.120 * [taylor]: Taking taylor expansion of n in k 5.120 * [backup-simplify]: Simplify n into n 5.120 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 5.120 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 5.120 * [backup-simplify]: Simplify (+ 1 0) into 1 5.121 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.121 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 5.121 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 5.121 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.121 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.121 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.121 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.121 * [taylor]: Taking taylor expansion of 0.5 in k 5.121 * [backup-simplify]: Simplify 0.5 into 0.5 5.121 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.121 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.121 * [taylor]: Taking taylor expansion of k in k 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 1 into 1 5.121 * [backup-simplify]: Simplify (/ 1 1) into 1 5.121 * [taylor]: Taking taylor expansion of 1.0 in k 5.121 * [backup-simplify]: Simplify 1.0 into 1.0 5.121 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.121 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.122 * [taylor]: Taking taylor expansion of 2.0 in k 5.122 * [backup-simplify]: Simplify 2.0 into 2.0 5.122 * [taylor]: Taking taylor expansion of PI in k 5.122 * [backup-simplify]: Simplify PI into PI 5.122 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.122 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.123 * [backup-simplify]: Simplify (+ 1 0) into 1 5.123 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.124 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.125 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 5.125 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 5.125 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.125 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 5.125 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 5.125 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.125 * [taylor]: Taking taylor expansion of 0.5 in k 5.125 * [backup-simplify]: Simplify 0.5 into 0.5 5.125 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.125 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.125 * [taylor]: Taking taylor expansion of k in k 5.125 * [backup-simplify]: Simplify 0 into 0 5.125 * [backup-simplify]: Simplify 1 into 1 5.125 * [backup-simplify]: Simplify (/ 1 1) into 1 5.125 * [taylor]: Taking taylor expansion of 1.0 in k 5.125 * [backup-simplify]: Simplify 1.0 into 1.0 5.125 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 5.125 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.125 * [taylor]: Taking taylor expansion of -1 in k 5.125 * [backup-simplify]: Simplify -1 into -1 5.125 * [taylor]: Taking taylor expansion of n in k 5.125 * [backup-simplify]: Simplify n into n 5.125 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 5.125 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 5.125 * [backup-simplify]: Simplify (+ 1 0) into 1 5.126 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.126 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 5.126 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 5.126 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.126 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.126 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.126 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.126 * [taylor]: Taking taylor expansion of 0.5 in k 5.126 * [backup-simplify]: Simplify 0.5 into 0.5 5.126 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.126 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.126 * [taylor]: Taking taylor expansion of k in k 5.126 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify 1 into 1 5.126 * [backup-simplify]: Simplify (/ 1 1) into 1 5.126 * [taylor]: Taking taylor expansion of 1.0 in k 5.126 * [backup-simplify]: Simplify 1.0 into 1.0 5.126 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.126 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.126 * [taylor]: Taking taylor expansion of 2.0 in k 5.126 * [backup-simplify]: Simplify 2.0 into 2.0 5.126 * [taylor]: Taking taylor expansion of PI in k 5.126 * [backup-simplify]: Simplify PI into PI 5.127 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.127 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.128 * [backup-simplify]: Simplify (+ 1 0) into 1 5.128 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.129 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.129 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 5.130 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 5.130 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 5.130 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 5.130 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 5.130 * [taylor]: Taking taylor expansion of 0.5 in n 5.130 * [backup-simplify]: Simplify 0.5 into 0.5 5.130 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 5.130 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.130 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.130 * [taylor]: Taking taylor expansion of k in n 5.130 * [backup-simplify]: Simplify k into k 5.130 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.131 * [taylor]: Taking taylor expansion of 1.0 in n 5.131 * [backup-simplify]: Simplify 1.0 into 1.0 5.131 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.131 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.131 * [taylor]: Taking taylor expansion of -1 in n 5.131 * [backup-simplify]: Simplify -1 into -1 5.131 * [taylor]: Taking taylor expansion of n in n 5.131 * [backup-simplify]: Simplify 0 into 0 5.131 * [backup-simplify]: Simplify 1 into 1 5.131 * [backup-simplify]: Simplify (/ -1 1) into -1 5.131 * [backup-simplify]: Simplify (log -1) into (log -1) 5.131 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.132 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.132 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 5.132 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 5.133 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 5.133 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 5.133 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 5.133 * [taylor]: Taking taylor expansion of 0.5 in n 5.133 * [backup-simplify]: Simplify 0.5 into 0.5 5.133 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 5.133 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.133 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.133 * [taylor]: Taking taylor expansion of 2.0 in n 5.133 * [backup-simplify]: Simplify 2.0 into 2.0 5.133 * [taylor]: Taking taylor expansion of PI in n 5.133 * [backup-simplify]: Simplify PI into PI 5.133 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.134 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.134 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.134 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.134 * [taylor]: Taking taylor expansion of k in n 5.134 * [backup-simplify]: Simplify k into k 5.134 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.134 * [taylor]: Taking taylor expansion of 1.0 in n 5.134 * [backup-simplify]: Simplify 1.0 into 1.0 5.134 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.135 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 5.135 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 5.136 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 5.137 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 5.138 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 5.139 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 5.139 * [taylor]: Taking taylor expansion of 0 in n 5.139 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.139 * [backup-simplify]: Simplify (+ 0 0) into 0 5.140 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.140 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.141 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 5.142 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 5.143 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 5.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.144 * [backup-simplify]: Simplify (+ 0 0) into 0 5.145 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.145 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 5.146 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 5.146 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.148 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 5.148 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 5.149 * [taylor]: Taking taylor expansion of 0 in n 5.149 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.149 * [backup-simplify]: Simplify (+ 0 0) into 0 5.155 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.156 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 5.157 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 5.158 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into 0 5.160 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.161 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 5.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.162 * [backup-simplify]: Simplify (+ 0 0) into 0 5.162 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.163 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 5.163 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0 5.164 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.166 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 5.166 * [backup-simplify]: Simplify 0 into 0 5.167 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into 0 5.167 * [taylor]: Taking taylor expansion of 0 in n 5.167 * [backup-simplify]: Simplify 0 into 0 5.167 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))) into (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) 5.168 * * * [progress]: simplifying candidates 5.171 * [simplify]: Simplifying: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) 5.174 * * [simplify]: Extracting # 0 : cost 0 5.174 * * [simplify]: Extracting # 1 : cost 0 5.175 * * [simplify]: Extracting # 2 : cost 0 5.175 * * [simplify]: Extracting # 3 : cost 0 5.175 * * [simplify]: Extracting # 4 : cost 0 5.176 * * [simplify]: Extracting # 5 : cost 0 5.176 * * [simplify]: Extracting # 6 : cost 0 5.176 * * [simplify]: Extracting # 7 : cost 0 5.177 * * [simplify]: Extracting # 8 : cost 0 5.177 * * [simplify]: Extracting # 9 : cost 0 5.178 * * [simplify]: Extracting # 10 : cost 0 5.178 * * [simplify]: Extracting # 11 : cost 0 5.178 * * [simplify]: Extracting # 12 : cost 0 5.179 * * [simplify]: Extracting # 13 : cost 0 5.179 * * [simplify]: Extracting # 14 : cost 0 5.180 * * [simplify]: Extracting # 15 : cost 0 5.180 * * [simplify]: iteration 0 : 316 enodes (cost 2486 ) 5.258 * * [simplify]: Extracting # 0 : cost 0 5.260 * * [simplify]: Extracting # 1 : cost 0 5.260 * * [simplify]: Extracting # 2 : cost 0 5.261 * * [simplify]: Extracting # 3 : cost 0 5.262 * * [simplify]: Extracting # 4 : cost 0 5.263 * * [simplify]: Extracting # 5 : cost 0 5.264 * * [simplify]: iteration 1 : 753 enodes (cost 2260 ) 5.497 * * [simplify]: Extracting # 0 : cost 0 5.500 * * [simplify]: Extracting # 1 : cost 0 5.502 * * [simplify]: Extracting # 2 : cost 0 5.505 * * [simplify]: Extracting # 3 : cost 0 5.507 * * [simplify]: Extracting # 4 : cost 0 5.510 * * [simplify]: Extracting # 5 : cost 0 5.512 * * [simplify]: iteration 2 : 2233 enodes (cost 2160 ) 6.038 * * [simplify]: Extracting # 0 : cost 0 6.044 * * [simplify]: Extracting # 1 : cost 0 6.050 * * [simplify]: Extracting # 2 : cost 0 6.056 * * [simplify]: Extracting # 3 : cost 0 6.063 * * [simplify]: Extracting # 4 : cost 0 6.073 * * [simplify]: Extracting # 5 : cost 0 6.080 * * [simplify]: iteration done: 5000 enodes (cost 2107 ) 6.081 * [simplify]: Simplified to: (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (/ (* (- 1.0 k) (log (* 2.0 PI))) 2.0) (/ (* (- 1.0 k) (log (* 2.0 PI))) 2.0) (/ (* (- 1.0 k) (log (* 2.0 PI))) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (sqrt (- 1.0 k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (/ (* (- 1.0 k) (log (* 2.0 PI))) 2.0) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* k (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (+ (pow n 0.5) (* (pow (pow n 1.0) 0.5) (- (* 0.125 (* (pow k 2) (pow (log n) 2))) (* 0.5 (* k (log n)))))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (exp (* (+ 0 (log n)) (- 1.0 k))) 0.5) (+ (pow (* 2.0 PI) 0.5) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (- (+ (* k (- +nan.0 (* +nan.0 k))) +nan.0)) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3))))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (pow k 2))) (- (+ (* 0.125 (* (* (pow k 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2)))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5))) (* (* 0.5 k) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))))) (exp (* (- 1.0 k) (+ (* -0.5 (- (log n))) (* 0.5 (log (* 2.0 PI)))))) (pow (exp (* 0.5 (- 1.0 k))) (+ (+ 0 (log n)) (log (* 2.0 PI)))) 6.082 * * * [progress]: adding candidates to table 6.532 * * [progress]: iteration 3 / 4 6.532 * * * [progress]: picking best candidate 6.554 * * * * [pick]: Picked # 6.554 * * * [progress]: localizing error 6.570 * * * [progress]: generating rewritten candidates 6.570 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.590 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 6.648 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 6.659 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 6.681 * * * [progress]: generating series expansions 6.681 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.682 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 6.682 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 6.682 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.682 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.682 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.682 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.682 * [taylor]: Taking taylor expansion of 0.5 in k 6.682 * [backup-simplify]: Simplify 0.5 into 0.5 6.682 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.682 * [taylor]: Taking taylor expansion of 1.0 in k 6.682 * [backup-simplify]: Simplify 1.0 into 1.0 6.682 * [taylor]: Taking taylor expansion of k in k 6.682 * [backup-simplify]: Simplify 0 into 0 6.682 * [backup-simplify]: Simplify 1 into 1 6.682 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.682 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.682 * [taylor]: Taking taylor expansion of 2.0 in k 6.682 * [backup-simplify]: Simplify 2.0 into 2.0 6.682 * [taylor]: Taking taylor expansion of (* n PI) in k 6.682 * [taylor]: Taking taylor expansion of n in k 6.682 * [backup-simplify]: Simplify n into n 6.682 * [taylor]: Taking taylor expansion of PI in k 6.682 * [backup-simplify]: Simplify PI into PI 6.682 * [backup-simplify]: Simplify (* n PI) into (* n PI) 6.682 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 6.682 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 6.683 * [backup-simplify]: Simplify (- 0) into 0 6.683 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.683 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.683 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 6.683 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 6.683 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.683 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.683 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.683 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.683 * [taylor]: Taking taylor expansion of 0.5 in n 6.683 * [backup-simplify]: Simplify 0.5 into 0.5 6.683 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.683 * [taylor]: Taking taylor expansion of 1.0 in n 6.683 * [backup-simplify]: Simplify 1.0 into 1.0 6.683 * [taylor]: Taking taylor expansion of k in n 6.683 * [backup-simplify]: Simplify k into k 6.683 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.684 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.684 * [taylor]: Taking taylor expansion of 2.0 in n 6.684 * [backup-simplify]: Simplify 2.0 into 2.0 6.684 * [taylor]: Taking taylor expansion of (* n PI) in n 6.684 * [taylor]: Taking taylor expansion of n in n 6.684 * [backup-simplify]: Simplify 0 into 0 6.684 * [backup-simplify]: Simplify 1 into 1 6.684 * [taylor]: Taking taylor expansion of PI in n 6.684 * [backup-simplify]: Simplify PI into PI 6.684 * [backup-simplify]: Simplify (* 0 PI) into 0 6.684 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.685 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.686 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.687 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.687 * [backup-simplify]: Simplify (- k) into (- k) 6.687 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.687 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.687 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.688 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 6.689 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 6.689 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.689 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.689 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.689 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.689 * [taylor]: Taking taylor expansion of 0.5 in n 6.689 * [backup-simplify]: Simplify 0.5 into 0.5 6.689 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.689 * [taylor]: Taking taylor expansion of 1.0 in n 6.689 * [backup-simplify]: Simplify 1.0 into 1.0 6.689 * [taylor]: Taking taylor expansion of k in n 6.689 * [backup-simplify]: Simplify k into k 6.689 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.689 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.689 * [taylor]: Taking taylor expansion of 2.0 in n 6.689 * [backup-simplify]: Simplify 2.0 into 2.0 6.689 * [taylor]: Taking taylor expansion of (* n PI) in n 6.689 * [taylor]: Taking taylor expansion of n in n 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify 1 into 1 6.689 * [taylor]: Taking taylor expansion of PI in n 6.689 * [backup-simplify]: Simplify PI into PI 6.689 * [backup-simplify]: Simplify (* 0 PI) into 0 6.690 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.691 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.691 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.692 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.692 * [backup-simplify]: Simplify (- k) into (- k) 6.692 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.692 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.693 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.694 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 6.694 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 6.694 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 6.694 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 6.694 * [taylor]: Taking taylor expansion of 0.5 in k 6.695 * [backup-simplify]: Simplify 0.5 into 0.5 6.695 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 6.695 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.695 * [taylor]: Taking taylor expansion of 1.0 in k 6.695 * [backup-simplify]: Simplify 1.0 into 1.0 6.695 * [taylor]: Taking taylor expansion of k in k 6.695 * [backup-simplify]: Simplify 0 into 0 6.695 * [backup-simplify]: Simplify 1 into 1 6.695 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 6.695 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.695 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.695 * [taylor]: Taking taylor expansion of 2.0 in k 6.695 * [backup-simplify]: Simplify 2.0 into 2.0 6.695 * [taylor]: Taking taylor expansion of PI in k 6.695 * [backup-simplify]: Simplify PI into PI 6.695 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.696 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.696 * [taylor]: Taking taylor expansion of (log n) in k 6.696 * [taylor]: Taking taylor expansion of n in k 6.696 * [backup-simplify]: Simplify n into n 6.696 * [backup-simplify]: Simplify (log n) into (log n) 6.696 * [backup-simplify]: Simplify (- 0) into 0 6.696 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.697 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 6.697 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 6.698 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 6.699 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 6.699 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 6.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.701 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 6.702 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.702 * [backup-simplify]: Simplify (- 0) into 0 6.702 * [backup-simplify]: Simplify (+ 0 0) into 0 6.702 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 6.703 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.704 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 6.705 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.705 * [taylor]: Taking taylor expansion of 0 in k 6.705 * [backup-simplify]: Simplify 0 into 0 6.705 * [backup-simplify]: Simplify 0 into 0 6.705 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.706 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.707 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 6.707 * [backup-simplify]: Simplify (+ 0 0) into 0 6.707 * [backup-simplify]: Simplify (- 1) into -1 6.708 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.708 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 6.710 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 6.712 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 6.713 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 6.714 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.715 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.716 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.717 * [backup-simplify]: Simplify (- 0) into 0 6.717 * [backup-simplify]: Simplify (+ 0 0) into 0 6.717 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 6.718 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.719 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 6.721 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.721 * [taylor]: Taking taylor expansion of 0 in k 6.721 * [backup-simplify]: Simplify 0 into 0 6.721 * [backup-simplify]: Simplify 0 into 0 6.721 * [backup-simplify]: Simplify 0 into 0 6.721 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.723 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.724 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 6.724 * [backup-simplify]: Simplify (+ 0 0) into 0 6.724 * [backup-simplify]: Simplify (- 0) into 0 6.725 * [backup-simplify]: Simplify (+ 0 0) into 0 6.726 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 6.727 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 6.730 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 6.739 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 6.745 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 6.745 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 6.745 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 6.745 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.745 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.745 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.745 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.745 * [taylor]: Taking taylor expansion of 0.5 in k 6.745 * [backup-simplify]: Simplify 0.5 into 0.5 6.745 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.745 * [taylor]: Taking taylor expansion of 1.0 in k 6.745 * [backup-simplify]: Simplify 1.0 into 1.0 6.745 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.745 * [taylor]: Taking taylor expansion of k in k 6.745 * [backup-simplify]: Simplify 0 into 0 6.745 * [backup-simplify]: Simplify 1 into 1 6.746 * [backup-simplify]: Simplify (/ 1 1) into 1 6.746 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.746 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.746 * [taylor]: Taking taylor expansion of 2.0 in k 6.746 * [backup-simplify]: Simplify 2.0 into 2.0 6.746 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.746 * [taylor]: Taking taylor expansion of PI in k 6.746 * [backup-simplify]: Simplify PI into PI 6.746 * [taylor]: Taking taylor expansion of n in k 6.746 * [backup-simplify]: Simplify n into n 6.746 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.746 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 6.746 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 6.746 * [backup-simplify]: Simplify (- 1) into -1 6.746 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.747 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.747 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 6.747 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 6.747 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.747 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.747 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.747 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.747 * [taylor]: Taking taylor expansion of 0.5 in n 6.747 * [backup-simplify]: Simplify 0.5 into 0.5 6.747 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.747 * [taylor]: Taking taylor expansion of 1.0 in n 6.747 * [backup-simplify]: Simplify 1.0 into 1.0 6.747 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.747 * [taylor]: Taking taylor expansion of k in n 6.747 * [backup-simplify]: Simplify k into k 6.747 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.747 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.747 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.747 * [taylor]: Taking taylor expansion of 2.0 in n 6.747 * [backup-simplify]: Simplify 2.0 into 2.0 6.747 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.747 * [taylor]: Taking taylor expansion of PI in n 6.747 * [backup-simplify]: Simplify PI into PI 6.747 * [taylor]: Taking taylor expansion of n in n 6.747 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify 1 into 1 6.748 * [backup-simplify]: Simplify (/ PI 1) into PI 6.748 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.749 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.749 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.749 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.749 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.750 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.750 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 6.751 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 6.751 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.751 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.751 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.751 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.751 * [taylor]: Taking taylor expansion of 0.5 in n 6.751 * [backup-simplify]: Simplify 0.5 into 0.5 6.751 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.751 * [taylor]: Taking taylor expansion of 1.0 in n 6.751 * [backup-simplify]: Simplify 1.0 into 1.0 6.751 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.751 * [taylor]: Taking taylor expansion of k in n 6.751 * [backup-simplify]: Simplify k into k 6.751 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.751 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.751 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.751 * [taylor]: Taking taylor expansion of 2.0 in n 6.751 * [backup-simplify]: Simplify 2.0 into 2.0 6.751 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.751 * [taylor]: Taking taylor expansion of PI in n 6.751 * [backup-simplify]: Simplify PI into PI 6.751 * [taylor]: Taking taylor expansion of n in n 6.751 * [backup-simplify]: Simplify 0 into 0 6.751 * [backup-simplify]: Simplify 1 into 1 6.752 * [backup-simplify]: Simplify (/ PI 1) into PI 6.752 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.753 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.753 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.753 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.753 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.754 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.755 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 6.755 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 6.756 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 6.756 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 6.756 * [taylor]: Taking taylor expansion of 0.5 in k 6.756 * [backup-simplify]: Simplify 0.5 into 0.5 6.756 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 6.756 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 6.756 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.756 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.756 * [taylor]: Taking taylor expansion of 2.0 in k 6.756 * [backup-simplify]: Simplify 2.0 into 2.0 6.756 * [taylor]: Taking taylor expansion of PI in k 6.756 * [backup-simplify]: Simplify PI into PI 6.756 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.757 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.757 * [taylor]: Taking taylor expansion of (log n) in k 6.757 * [taylor]: Taking taylor expansion of n in k 6.757 * [backup-simplify]: Simplify n into n 6.757 * [backup-simplify]: Simplify (log n) into (log n) 6.757 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.757 * [taylor]: Taking taylor expansion of 1.0 in k 6.757 * [backup-simplify]: Simplify 1.0 into 1.0 6.757 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.757 * [taylor]: Taking taylor expansion of k in k 6.757 * [backup-simplify]: Simplify 0 into 0 6.757 * [backup-simplify]: Simplify 1 into 1 6.757 * [backup-simplify]: Simplify (/ 1 1) into 1 6.757 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.758 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 6.758 * [backup-simplify]: Simplify (- 1) into -1 6.758 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.759 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 6.760 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 6.760 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 6.761 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 6.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.762 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.763 * [backup-simplify]: Simplify (- 0) into 0 6.763 * [backup-simplify]: Simplify (+ 0 0) into 0 6.764 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.765 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.765 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 6.766 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.766 * [taylor]: Taking taylor expansion of 0 in k 6.766 * [backup-simplify]: Simplify 0 into 0 6.766 * [backup-simplify]: Simplify 0 into 0 6.766 * [backup-simplify]: Simplify 0 into 0 6.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.768 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.769 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.770 * [backup-simplify]: Simplify (- 0) into 0 6.770 * [backup-simplify]: Simplify (+ 0 0) into 0 6.770 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 6.771 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.772 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 6.774 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.774 * [taylor]: Taking taylor expansion of 0 in k 6.774 * [backup-simplify]: Simplify 0 into 0 6.774 * [backup-simplify]: Simplify 0 into 0 6.774 * [backup-simplify]: Simplify 0 into 0 6.774 * [backup-simplify]: Simplify 0 into 0 6.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.775 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.778 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 6.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.778 * [backup-simplify]: Simplify (- 0) into 0 6.778 * [backup-simplify]: Simplify (+ 0 0) into 0 6.779 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 6.780 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.781 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 6.782 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.783 * [taylor]: Taking taylor expansion of 0 in k 6.783 * [backup-simplify]: Simplify 0 into 0 6.783 * [backup-simplify]: Simplify 0 into 0 6.783 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 6.784 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 6.784 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 6.784 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.784 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.784 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.784 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.784 * [taylor]: Taking taylor expansion of 0.5 in k 6.784 * [backup-simplify]: Simplify 0.5 into 0.5 6.784 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.784 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.784 * [taylor]: Taking taylor expansion of k in k 6.784 * [backup-simplify]: Simplify 0 into 0 6.784 * [backup-simplify]: Simplify 1 into 1 6.784 * [backup-simplify]: Simplify (/ 1 1) into 1 6.784 * [taylor]: Taking taylor expansion of 1.0 in k 6.784 * [backup-simplify]: Simplify 1.0 into 1.0 6.784 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.784 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.784 * [taylor]: Taking taylor expansion of -2.0 in k 6.784 * [backup-simplify]: Simplify -2.0 into -2.0 6.784 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.784 * [taylor]: Taking taylor expansion of PI in k 6.784 * [backup-simplify]: Simplify PI into PI 6.784 * [taylor]: Taking taylor expansion of n in k 6.784 * [backup-simplify]: Simplify n into n 6.784 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.785 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 6.785 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 6.785 * [backup-simplify]: Simplify (+ 1 0) into 1 6.785 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.785 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 6.785 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 6.785 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.785 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.785 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.785 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.785 * [taylor]: Taking taylor expansion of 0.5 in n 6.785 * [backup-simplify]: Simplify 0.5 into 0.5 6.785 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.785 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.785 * [taylor]: Taking taylor expansion of k in n 6.785 * [backup-simplify]: Simplify k into k 6.786 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.786 * [taylor]: Taking taylor expansion of 1.0 in n 6.786 * [backup-simplify]: Simplify 1.0 into 1.0 6.786 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.786 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.786 * [taylor]: Taking taylor expansion of -2.0 in n 6.786 * [backup-simplify]: Simplify -2.0 into -2.0 6.786 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.786 * [taylor]: Taking taylor expansion of PI in n 6.786 * [backup-simplify]: Simplify PI into PI 6.786 * [taylor]: Taking taylor expansion of n in n 6.786 * [backup-simplify]: Simplify 0 into 0 6.786 * [backup-simplify]: Simplify 1 into 1 6.786 * [backup-simplify]: Simplify (/ PI 1) into PI 6.786 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.787 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.787 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.787 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.788 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.789 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 6.789 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 6.789 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.789 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.789 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.789 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.789 * [taylor]: Taking taylor expansion of 0.5 in n 6.789 * [backup-simplify]: Simplify 0.5 into 0.5 6.789 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.789 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.789 * [taylor]: Taking taylor expansion of k in n 6.789 * [backup-simplify]: Simplify k into k 6.789 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.790 * [taylor]: Taking taylor expansion of 1.0 in n 6.790 * [backup-simplify]: Simplify 1.0 into 1.0 6.790 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.790 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.790 * [taylor]: Taking taylor expansion of -2.0 in n 6.790 * [backup-simplify]: Simplify -2.0 into -2.0 6.790 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.790 * [taylor]: Taking taylor expansion of PI in n 6.790 * [backup-simplify]: Simplify PI into PI 6.790 * [taylor]: Taking taylor expansion of n in n 6.790 * [backup-simplify]: Simplify 0 into 0 6.790 * [backup-simplify]: Simplify 1 into 1 6.790 * [backup-simplify]: Simplify (/ PI 1) into PI 6.790 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.791 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.791 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.791 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.792 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.793 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 6.793 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 6.793 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 6.793 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 6.793 * [taylor]: Taking taylor expansion of 0.5 in k 6.793 * [backup-simplify]: Simplify 0.5 into 0.5 6.793 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 6.793 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.794 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.794 * [taylor]: Taking taylor expansion of k in k 6.794 * [backup-simplify]: Simplify 0 into 0 6.794 * [backup-simplify]: Simplify 1 into 1 6.794 * [backup-simplify]: Simplify (/ 1 1) into 1 6.794 * [taylor]: Taking taylor expansion of 1.0 in k 6.794 * [backup-simplify]: Simplify 1.0 into 1.0 6.794 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 6.794 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 6.794 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 6.794 * [taylor]: Taking taylor expansion of -2.0 in k 6.794 * [backup-simplify]: Simplify -2.0 into -2.0 6.794 * [taylor]: Taking taylor expansion of PI in k 6.794 * [backup-simplify]: Simplify PI into PI 6.794 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.795 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.795 * [taylor]: Taking taylor expansion of (log n) in k 6.795 * [taylor]: Taking taylor expansion of n in k 6.795 * [backup-simplify]: Simplify n into n 6.795 * [backup-simplify]: Simplify (log n) into (log n) 6.795 * [backup-simplify]: Simplify (+ 1 0) into 1 6.795 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.796 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 6.797 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 6.797 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 6.798 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 6.799 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 6.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.800 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 6.801 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 6.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.801 * [backup-simplify]: Simplify (+ 0 0) into 0 6.801 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 6.802 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.803 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 6.804 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.804 * [taylor]: Taking taylor expansion of 0 in k 6.804 * [backup-simplify]: Simplify 0 into 0 6.804 * [backup-simplify]: Simplify 0 into 0 6.804 * [backup-simplify]: Simplify 0 into 0 6.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.805 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.807 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 6.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.807 * [backup-simplify]: Simplify (+ 0 0) into 0 6.807 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 6.808 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.809 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 6.811 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.811 * [taylor]: Taking taylor expansion of 0 in k 6.811 * [backup-simplify]: Simplify 0 into 0 6.811 * [backup-simplify]: Simplify 0 into 0 6.811 * [backup-simplify]: Simplify 0 into 0 6.811 * [backup-simplify]: Simplify 0 into 0 6.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.812 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.815 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 6.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.815 * [backup-simplify]: Simplify (+ 0 0) into 0 6.816 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 6.817 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.818 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 6.819 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.819 * [taylor]: Taking taylor expansion of 0 in k 6.819 * [backup-simplify]: Simplify 0 into 0 6.819 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 6.820 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.820 * [backup-simplify]: Simplify (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) into (* 1.0 (sqrt (/ 1 k))) 6.820 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 6.820 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.821 * [taylor]: Taking taylor expansion of 1.0 in k 6.821 * [backup-simplify]: Simplify 1.0 into 1.0 6.821 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.821 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.821 * [taylor]: Taking taylor expansion of k in k 6.821 * [backup-simplify]: Simplify 0 into 0 6.821 * [backup-simplify]: Simplify 1 into 1 6.821 * [backup-simplify]: Simplify (/ 1 1) into 1 6.821 * [backup-simplify]: Simplify (sqrt 0) into 0 6.822 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.822 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.822 * [taylor]: Taking taylor expansion of 1.0 in k 6.822 * [backup-simplify]: Simplify 1.0 into 1.0 6.822 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.822 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.822 * [taylor]: Taking taylor expansion of k in k 6.822 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify 1 into 1 6.822 * [backup-simplify]: Simplify (/ 1 1) into 1 6.823 * [backup-simplify]: Simplify (sqrt 0) into 0 6.823 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.824 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.825 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.832 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.834 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.834 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.837 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.838 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.839 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 6.839 * [backup-simplify]: Simplify (* (/ 1 (sqrt (sqrt (/ 1 k)))) (/ 1.0 (sqrt (sqrt (/ 1 k))))) into (* 1.0 (sqrt k)) 6.839 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 6.839 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.839 * [taylor]: Taking taylor expansion of 1.0 in k 6.839 * [backup-simplify]: Simplify 1.0 into 1.0 6.839 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.839 * [taylor]: Taking taylor expansion of k in k 6.839 * [backup-simplify]: Simplify 0 into 0 6.839 * [backup-simplify]: Simplify 1 into 1 6.839 * [backup-simplify]: Simplify (sqrt 0) into 0 6.840 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.840 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.840 * [taylor]: Taking taylor expansion of 1.0 in k 6.840 * [backup-simplify]: Simplify 1.0 into 1.0 6.840 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.840 * [taylor]: Taking taylor expansion of k in k 6.840 * [backup-simplify]: Simplify 0 into 0 6.840 * [backup-simplify]: Simplify 1 into 1 6.840 * [backup-simplify]: Simplify (sqrt 0) into 0 6.841 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.841 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.841 * [backup-simplify]: Simplify 0 into 0 6.842 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.842 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.844 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.845 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.845 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.847 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.848 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.849 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.850 * [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)))))))) 6.850 * [backup-simplify]: Simplify (* (/ 1 (sqrt (sqrt (/ 1 (- k))))) (/ 1.0 (sqrt (sqrt (/ 1 (- k)))))) into (/ 1.0 (sqrt (/ -1 k))) 6.850 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 6.850 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.850 * [taylor]: Taking taylor expansion of 1.0 in k 6.850 * [backup-simplify]: Simplify 1.0 into 1.0 6.850 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.850 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.850 * [taylor]: Taking taylor expansion of -1 in k 6.850 * [backup-simplify]: Simplify -1 into -1 6.850 * [taylor]: Taking taylor expansion of k in k 6.850 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify 1 into 1 6.850 * [backup-simplify]: Simplify (/ -1 1) into -1 6.850 * [backup-simplify]: Simplify (sqrt 0) into 0 6.851 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.851 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.851 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.851 * [taylor]: Taking taylor expansion of 1.0 in k 6.851 * [backup-simplify]: Simplify 1.0 into 1.0 6.851 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.851 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.851 * [taylor]: Taking taylor expansion of -1 in k 6.851 * [backup-simplify]: Simplify -1 into -1 6.851 * [taylor]: Taking taylor expansion of k in k 6.852 * [backup-simplify]: Simplify 0 into 0 6.852 * [backup-simplify]: Simplify 1 into 1 6.852 * [backup-simplify]: Simplify (/ -1 1) into -1 6.852 * [backup-simplify]: Simplify (sqrt 0) into 0 6.853 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.853 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.853 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.855 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.856 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.857 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.862 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.862 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.863 * [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))))) 6.863 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 6.863 * [backup-simplify]: Simplify (/ 1 (sqrt (sqrt k))) into (pow (/ 1 k) 1/4) 6.863 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/4) in (k) around 0 6.863 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 6.863 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 6.863 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 6.863 * [taylor]: Taking taylor expansion of 1/4 in k 6.863 * [backup-simplify]: Simplify 1/4 into 1/4 6.863 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 6.863 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.863 * [taylor]: Taking taylor expansion of k in k 6.863 * [backup-simplify]: Simplify 0 into 0 6.863 * [backup-simplify]: Simplify 1 into 1 6.863 * [backup-simplify]: Simplify (/ 1 1) into 1 6.863 * [backup-simplify]: Simplify (log 1) into 0 6.864 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 6.864 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 6.864 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 6.864 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 6.864 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 6.864 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 6.864 * [taylor]: Taking taylor expansion of 1/4 in k 6.864 * [backup-simplify]: Simplify 1/4 into 1/4 6.864 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 6.864 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.864 * [taylor]: Taking taylor expansion of k in k 6.864 * [backup-simplify]: Simplify 0 into 0 6.864 * [backup-simplify]: Simplify 1 into 1 6.864 * [backup-simplify]: Simplify (/ 1 1) into 1 6.864 * [backup-simplify]: Simplify (log 1) into 0 6.865 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 6.865 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 6.865 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 6.865 * [backup-simplify]: Simplify (pow k -1/4) into (pow k -1/4) 6.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.866 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.866 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 6.867 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 6.867 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 6.867 * [backup-simplify]: Simplify 0 into 0 6.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.869 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.869 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 6.870 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 6.870 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.870 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.874 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.874 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 6.875 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 6.876 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.876 * [backup-simplify]: Simplify 0 into 0 6.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.881 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.882 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 6.882 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 6.884 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.884 * [backup-simplify]: Simplify 0 into 0 6.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.892 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.893 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 6.894 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 6.895 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.895 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.917 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 6.917 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 6.919 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 6.922 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.922 * [backup-simplify]: Simplify 0 into 0 6.922 * [backup-simplify]: Simplify (pow k -1/4) into (pow k -1/4) 6.922 * [backup-simplify]: Simplify (/ 1 (sqrt (sqrt (/ 1 k)))) into (pow k 1/4) 6.922 * [approximate]: Taking taylor expansion of (pow k 1/4) in (k) around 0 6.922 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 6.922 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 6.922 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 6.922 * [taylor]: Taking taylor expansion of 1/4 in k 6.922 * [backup-simplify]: Simplify 1/4 into 1/4 6.922 * [taylor]: Taking taylor expansion of (log k) in k 6.922 * [taylor]: Taking taylor expansion of k in k 6.922 * [backup-simplify]: Simplify 0 into 0 6.922 * [backup-simplify]: Simplify 1 into 1 6.922 * [backup-simplify]: Simplify (log 1) into 0 6.923 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 6.923 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 6.923 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 6.923 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 6.923 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 6.923 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 6.923 * [taylor]: Taking taylor expansion of 1/4 in k 6.923 * [backup-simplify]: Simplify 1/4 into 1/4 6.923 * [taylor]: Taking taylor expansion of (log k) in k 6.923 * [taylor]: Taking taylor expansion of k in k 6.923 * [backup-simplify]: Simplify 0 into 0 6.923 * [backup-simplify]: Simplify 1 into 1 6.923 * [backup-simplify]: Simplify (log 1) into 0 6.923 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 6.923 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 6.924 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 6.924 * [backup-simplify]: Simplify (pow k 1/4) into (pow k 1/4) 6.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.925 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 6.925 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 6.925 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 6.925 * [backup-simplify]: Simplify 0 into 0 6.927 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.927 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 6.928 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 6.928 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.928 * [backup-simplify]: Simplify 0 into 0 6.931 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.931 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 6.932 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 6.933 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.933 * [backup-simplify]: Simplify 0 into 0 6.938 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.938 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 6.939 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 6.940 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.940 * [backup-simplify]: Simplify 0 into 0 6.948 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.948 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 6.949 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 6.951 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.951 * [backup-simplify]: Simplify 0 into 0 6.965 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 6.966 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 6.967 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 6.970 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.970 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify (pow (/ 1 k) 1/4) into (pow (/ 1 k) 1/4) 6.970 * [backup-simplify]: Simplify (/ 1 (sqrt (sqrt (/ 1 (- k))))) into (sqrt (/ 1 (sqrt (/ -1 k)))) 6.970 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in (k) around 0 6.970 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 6.970 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 6.970 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.970 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.970 * [taylor]: Taking taylor expansion of -1 in k 6.970 * [backup-simplify]: Simplify -1 into -1 6.970 * [taylor]: Taking taylor expansion of k in k 6.970 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify 1 into 1 6.970 * [backup-simplify]: Simplify (/ -1 1) into -1 6.971 * [backup-simplify]: Simplify (sqrt 0) into 0 6.971 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.972 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 6.972 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 6.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.974 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.975 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.976 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 6.976 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 6.976 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 6.976 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.976 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.976 * [taylor]: Taking taylor expansion of -1 in k 6.976 * [backup-simplify]: Simplify -1 into -1 6.976 * [taylor]: Taking taylor expansion of k in k 6.976 * [backup-simplify]: Simplify 0 into 0 6.976 * [backup-simplify]: Simplify 1 into 1 6.977 * [backup-simplify]: Simplify (/ -1 1) into -1 6.977 * [backup-simplify]: Simplify (sqrt 0) into 0 6.978 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.978 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 6.978 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 6.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.980 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.981 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.982 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 6.983 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 6.983 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 6.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.988 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.996 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 7.000 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 7.005 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- k)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- k))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 7.005 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 7.005 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt k))) into (* 1.0 (pow (/ 1 k) 1/4)) 7.005 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 7.005 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 7.005 * [taylor]: Taking taylor expansion of 1.0 in k 7.005 * [backup-simplify]: Simplify 1.0 into 1.0 7.005 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 7.006 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 7.006 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 7.006 * [taylor]: Taking taylor expansion of 1/4 in k 7.006 * [backup-simplify]: Simplify 1/4 into 1/4 7.006 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 7.006 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.006 * [taylor]: Taking taylor expansion of k in k 7.006 * [backup-simplify]: Simplify 0 into 0 7.006 * [backup-simplify]: Simplify 1 into 1 7.006 * [backup-simplify]: Simplify (/ 1 1) into 1 7.006 * [backup-simplify]: Simplify (log 1) into 0 7.006 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.006 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 7.006 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 7.006 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 7.007 * [taylor]: Taking taylor expansion of 1.0 in k 7.007 * [backup-simplify]: Simplify 1.0 into 1.0 7.007 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 7.007 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 7.007 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 7.007 * [taylor]: Taking taylor expansion of 1/4 in k 7.007 * [backup-simplify]: Simplify 1/4 into 1/4 7.007 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 7.007 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.007 * [taylor]: Taking taylor expansion of k in k 7.007 * [backup-simplify]: Simplify 0 into 0 7.007 * [backup-simplify]: Simplify 1 into 1 7.007 * [backup-simplify]: Simplify (/ 1 1) into 1 7.007 * [backup-simplify]: Simplify (log 1) into 0 7.007 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.007 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 7.008 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 7.008 * [backup-simplify]: Simplify (* 1.0 (pow k -1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 7.008 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 7.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.009 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.009 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.009 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 7.010 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 7.010 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k -1/4))) into 0 7.010 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.012 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.012 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.013 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 7.014 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.014 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 7.014 * [backup-simplify]: Simplify 0 into 0 7.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.017 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.018 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.018 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 7.019 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.020 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 7.020 * [backup-simplify]: Simplify 0 into 0 7.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.026 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.026 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.027 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 7.028 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.029 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))) into 0 7.029 * [backup-simplify]: Simplify 0 into 0 7.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.037 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.038 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.039 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 7.041 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.042 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))))) into 0 7.042 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.057 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.057 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.058 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 7.061 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.063 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))))) into 0 7.063 * [backup-simplify]: Simplify 0 into 0 7.063 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 7.063 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 k)))) into (* 1.0 (pow k 1/4)) 7.063 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 7.063 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 7.063 * [taylor]: Taking taylor expansion of 1.0 in k 7.063 * [backup-simplify]: Simplify 1.0 into 1.0 7.063 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 7.063 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 7.063 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 7.063 * [taylor]: Taking taylor expansion of 1/4 in k 7.063 * [backup-simplify]: Simplify 1/4 into 1/4 7.063 * [taylor]: Taking taylor expansion of (log k) in k 7.063 * [taylor]: Taking taylor expansion of k in k 7.063 * [backup-simplify]: Simplify 0 into 0 7.063 * [backup-simplify]: Simplify 1 into 1 7.063 * [backup-simplify]: Simplify (log 1) into 0 7.063 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.064 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 7.064 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 7.064 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 7.064 * [taylor]: Taking taylor expansion of 1.0 in k 7.064 * [backup-simplify]: Simplify 1.0 into 1.0 7.064 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 7.064 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 7.064 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 7.064 * [taylor]: Taking taylor expansion of 1/4 in k 7.064 * [backup-simplify]: Simplify 1/4 into 1/4 7.064 * [taylor]: Taking taylor expansion of (log k) in k 7.064 * [taylor]: Taking taylor expansion of k in k 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify 1 into 1 7.064 * [backup-simplify]: Simplify (log 1) into 0 7.064 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.064 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 7.064 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 7.064 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 7.065 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 7.065 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.066 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.066 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 7.066 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 7.067 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k 1/4))) into 0 7.067 * [backup-simplify]: Simplify 0 into 0 7.068 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.068 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.069 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 7.070 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.070 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 7.070 * [backup-simplify]: Simplify 0 into 0 7.073 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.073 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.079 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 7.081 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.081 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 7.081 * [backup-simplify]: Simplify 0 into 0 7.086 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.087 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.088 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 7.089 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.090 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))) into 0 7.090 * [backup-simplify]: Simplify 0 into 0 7.098 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.098 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.099 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 7.101 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.102 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))))) into 0 7.102 * [backup-simplify]: Simplify 0 into 0 7.117 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.117 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.119 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 7.121 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.123 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))))) into 0 7.123 * [backup-simplify]: Simplify 0 into 0 7.123 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 7.123 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) into (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) 7.123 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 7.123 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 7.123 * [taylor]: Taking taylor expansion of 1.0 in k 7.123 * [backup-simplify]: Simplify 1.0 into 1.0 7.123 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 7.123 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 7.123 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.123 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.123 * [taylor]: Taking taylor expansion of -1 in k 7.123 * [backup-simplify]: Simplify -1 into -1 7.123 * [taylor]: Taking taylor expansion of k in k 7.123 * [backup-simplify]: Simplify 0 into 0 7.123 * [backup-simplify]: Simplify 1 into 1 7.124 * [backup-simplify]: Simplify (/ -1 1) into -1 7.124 * [backup-simplify]: Simplify (sqrt 0) into 0 7.125 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.125 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.125 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 7.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.127 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.128 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.129 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 7.129 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 7.129 * [taylor]: Taking taylor expansion of 1.0 in k 7.129 * [backup-simplify]: Simplify 1.0 into 1.0 7.129 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 7.129 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 7.129 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.130 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.130 * [taylor]: Taking taylor expansion of -1 in k 7.130 * [backup-simplify]: Simplify -1 into -1 7.130 * [taylor]: Taking taylor expansion of k in k 7.130 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify 1 into 1 7.130 * [backup-simplify]: Simplify (/ -1 1) into -1 7.130 * [backup-simplify]: Simplify (sqrt 0) into 0 7.131 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.131 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.131 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 7.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.133 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.134 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.135 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 7.136 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 7.137 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 7.138 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 7.139 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 7.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.142 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.144 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 7.147 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 7.154 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 7.164 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 7.171 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (/ 1 (- k))) (* 1.0 (sqrt +nan.0)))) into (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 7.171 * * * [progress]: simplifying candidates 7.176 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (+ (- (log (sqrt (sqrt k)))) (- (log 1.0) (log (sqrt (sqrt k))))) (+ (- (log (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k))))) (+ (- 0 (log (sqrt (sqrt k)))) (- (log 1.0) (log (sqrt (sqrt k))))) (+ (- 0 (log (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k))))) (+ (- (log 1) (log (sqrt (sqrt k)))) (- (log 1.0) (log (sqrt (sqrt k))))) (+ (- (log 1) (log (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k))))) (+ (log (/ 1 (sqrt (sqrt k)))) (- (log 1.0) (log (sqrt (sqrt k))))) (+ (log (/ 1 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k))))) (log (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (exp (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (* (/ (* (* 1 1) 1) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) (* (/ (* (* 1 1) 1) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k))))) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))) (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (cbrt (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))))) (cbrt (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (* 1 1.0) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1)))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt 1)))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt 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(pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (pow k -1/4) (pow (/ 1 k) 1/4) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 7.181 * * [simplify]: Extracting # 0 : cost 0 7.182 * * [simplify]: Extracting # 1 : cost 0 7.182 * * [simplify]: Extracting # 2 : cost 0 7.182 * * [simplify]: Extracting # 3 : cost 0 7.183 * * [simplify]: Extracting # 4 : cost 0 7.183 * * [simplify]: Extracting # 5 : cost 0 7.184 * * [simplify]: Extracting # 6 : cost 0 7.185 * * [simplify]: Extracting # 7 : cost 0 7.185 * * [simplify]: Extracting # 8 : cost 0 7.186 * * [simplify]: Extracting # 9 : cost 0 7.186 * * [simplify]: Extracting # 10 : cost 0 7.187 * * [simplify]: Extracting # 11 : cost 0 7.187 * * [simplify]: Extracting # 12 : cost 0 7.188 * * [simplify]: Extracting # 13 : cost 0 7.188 * * [simplify]: Extracting # 14 : cost 0 7.189 * * [simplify]: iteration 0 : 374 enodes (cost 3992 ) 7.320 * * [simplify]: Extracting # 0 : cost 0 7.322 * * [simplify]: Extracting # 1 : cost 0 7.323 * * [simplify]: Extracting # 2 : cost 0 7.324 * * [simplify]: Extracting # 3 : cost 0 7.324 * * [simplify]: Extracting # 4 : cost 0 7.325 * * [simplify]: Extracting # 5 : cost 0 7.326 * * [simplify]: iteration 1 : 940 enodes (cost 3441 ) 7.628 * * [simplify]: Extracting # 0 : cost 0 7.631 * * [simplify]: Extracting # 1 : cost 0 7.633 * * [simplify]: Extracting # 2 : cost 0 7.636 * * [simplify]: Extracting # 3 : cost 0 7.638 * * [simplify]: Extracting # 4 : cost 0 7.641 * * [simplify]: iteration 2 : 2568 enodes (cost 2979 ) 8.181 * * [simplify]: Extracting # 0 : cost 0 8.193 * * [simplify]: Extracting # 1 : cost 0 8.199 * * [simplify]: Extracting # 2 : cost 0 8.204 * * [simplify]: Extracting # 3 : cost 0 8.209 * * [simplify]: Extracting # 4 : cost 0 8.214 * * [simplify]: iteration done: 5000 enodes (cost 2958 ) 8.216 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 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(sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt 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(sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k))) (/ (/ (cbrt 1.0) (/ (fabs (cbrt (sqrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (* (cbrt (/ 1 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) -1/2 -1 -1/4 -1/2 -1/4 (- (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k)))) (exp (/ 1 (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt k)) 3)) (* (cbrt (/ 1 (sqrt (sqrt k)))) (cbrt (/ 1 (sqrt (sqrt k))))) (cbrt (/ 1 (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt k)) 3)) (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k)))) -1 (- (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt (sqrt k)))) 1 (sqrt (sqrt k)) (sqrt (sqrt k)) (sqrt (sqrt k)) (log (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (- 1.0) (- (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (/ (fabs (cbrt (sqrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1.0) (/ 1.0 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) 1.0) (+ (* 0.125 (* (* (pow k 2) (pow (* (* 2.0 PI) n) 0.5)) (+ (pow (log (* 2.0 PI)) 2) (pow (log n) 2)))) (- (+ (* (* 0.25 (pow k 2)) (* (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (log n))) (pow (* (* 2.0 PI) n) 0.5)) (* (* 0.5 k) (* (pow (* (* 2.0 PI) n) 0.5) (log (* (* 2.0 PI) n)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (- k (pow k 2))) +nan.0)) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3))))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) +nan.0))) (pow k -1/4) (pow (/ 1 k) 1/4) (- (sqrt +nan.0) (+ (* (/ 1 (sqrt +nan.0)) (- (/ +nan.0 (pow k 2)) (/ +nan.0 k))) (/ (/ +nan.0 (pow k 2)) (pow (sqrt +nan.0) 3)))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (* (/ 1 (sqrt +nan.0)) (- (/ +nan.0 (pow k 2)) (/ +nan.0 k))) (/ (/ +nan.0 (pow k 2)) (pow (sqrt +nan.0) 3)))) 8.218 * * * [progress]: adding candidates to table 8.962 * * [progress]: iteration 4 / 4 8.962 * * * [progress]: picking best candidate 8.987 * * * * [pick]: Picked # 8.987 * * * [progress]: localizing error 9.012 * * * [progress]: generating rewritten candidates 9.012 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 9.032 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 1) 9.033 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1 1 1) 9.034 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 11.791 * * * [progress]: generating series expansions 11.792 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 11.792 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 11.792 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 11.792 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 11.792 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 11.793 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 11.793 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.793 * [taylor]: Taking taylor expansion of 0.5 in k 11.793 * [backup-simplify]: Simplify 0.5 into 0.5 11.793 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.793 * [taylor]: Taking taylor expansion of 1.0 in k 11.793 * [backup-simplify]: Simplify 1.0 into 1.0 11.793 * [taylor]: Taking taylor expansion of k in k 11.793 * [backup-simplify]: Simplify 0 into 0 11.793 * [backup-simplify]: Simplify 1 into 1 11.793 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 11.793 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 11.793 * [taylor]: Taking taylor expansion of 2.0 in k 11.793 * [backup-simplify]: Simplify 2.0 into 2.0 11.793 * [taylor]: Taking taylor expansion of (* n PI) in k 11.793 * [taylor]: Taking taylor expansion of n in k 11.793 * [backup-simplify]: Simplify n into n 11.793 * [taylor]: Taking taylor expansion of PI in k 11.793 * [backup-simplify]: Simplify PI into PI 11.793 * [backup-simplify]: Simplify (* n PI) into (* n PI) 11.793 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 11.793 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 11.793 * [backup-simplify]: Simplify (- 0) into 0 11.793 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.794 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.794 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 11.794 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 11.794 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 11.794 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 11.794 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 11.794 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.794 * [taylor]: Taking taylor expansion of 0.5 in n 11.794 * [backup-simplify]: Simplify 0.5 into 0.5 11.794 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.794 * [taylor]: Taking taylor expansion of 1.0 in n 11.794 * [backup-simplify]: Simplify 1.0 into 1.0 11.794 * [taylor]: Taking taylor expansion of k in n 11.794 * [backup-simplify]: Simplify k into k 11.794 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 11.794 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.794 * [taylor]: Taking taylor expansion of 2.0 in n 11.794 * [backup-simplify]: Simplify 2.0 into 2.0 11.794 * [taylor]: Taking taylor expansion of (* n PI) in n 11.794 * [taylor]: Taking taylor expansion of n in n 11.794 * [backup-simplify]: Simplify 0 into 0 11.794 * [backup-simplify]: Simplify 1 into 1 11.794 * [taylor]: Taking taylor expansion of PI in n 11.794 * [backup-simplify]: Simplify PI into PI 11.795 * [backup-simplify]: Simplify (* 0 PI) into 0 11.795 * [backup-simplify]: Simplify (* 2.0 0) into 0 11.796 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.797 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 11.797 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.797 * [backup-simplify]: Simplify (- k) into (- k) 11.797 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.797 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.798 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.799 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 11.800 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 11.800 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 11.800 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 11.800 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 11.800 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.800 * [taylor]: Taking taylor expansion of 0.5 in n 11.800 * [backup-simplify]: Simplify 0.5 into 0.5 11.800 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.800 * [taylor]: Taking taylor expansion of 1.0 in n 11.800 * [backup-simplify]: Simplify 1.0 into 1.0 11.800 * [taylor]: Taking taylor expansion of k in n 11.800 * [backup-simplify]: Simplify k into k 11.800 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 11.800 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.800 * [taylor]: Taking taylor expansion of 2.0 in n 11.800 * [backup-simplify]: Simplify 2.0 into 2.0 11.800 * [taylor]: Taking taylor expansion of (* n PI) in n 11.800 * [taylor]: Taking taylor expansion of n in n 11.800 * [backup-simplify]: Simplify 0 into 0 11.800 * [backup-simplify]: Simplify 1 into 1 11.800 * [taylor]: Taking taylor expansion of PI in n 11.800 * [backup-simplify]: Simplify PI into PI 11.800 * [backup-simplify]: Simplify (* 0 PI) into 0 11.801 * [backup-simplify]: Simplify (* 2.0 0) into 0 11.801 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.802 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 11.803 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.803 * [backup-simplify]: Simplify (- k) into (- k) 11.803 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.803 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.804 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.805 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 11.805 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 11.805 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 11.805 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 11.805 * [taylor]: Taking taylor expansion of 0.5 in k 11.805 * [backup-simplify]: Simplify 0.5 into 0.5 11.805 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 11.805 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.805 * [taylor]: Taking taylor expansion of 1.0 in k 11.805 * [backup-simplify]: Simplify 1.0 into 1.0 11.805 * [taylor]: Taking taylor expansion of k in k 11.805 * [backup-simplify]: Simplify 0 into 0 11.805 * [backup-simplify]: Simplify 1 into 1 11.806 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 11.806 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.806 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.806 * [taylor]: Taking taylor expansion of 2.0 in k 11.806 * [backup-simplify]: Simplify 2.0 into 2.0 11.806 * [taylor]: Taking taylor expansion of PI in k 11.806 * [backup-simplify]: Simplify PI into PI 11.806 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.806 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.807 * [taylor]: Taking taylor expansion of (log n) in k 11.807 * [taylor]: Taking taylor expansion of n in k 11.807 * [backup-simplify]: Simplify n into n 11.807 * [backup-simplify]: Simplify (log n) into (log n) 11.807 * [backup-simplify]: Simplify (- 0) into 0 11.807 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.808 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 11.808 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 11.809 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 11.810 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 11.810 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 11.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 11.811 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 11.812 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.813 * [backup-simplify]: Simplify (- 0) into 0 11.813 * [backup-simplify]: Simplify (+ 0 0) into 0 11.813 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 11.814 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.815 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 11.816 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.816 * [taylor]: Taking taylor expansion of 0 in k 11.816 * [backup-simplify]: Simplify 0 into 0 11.816 * [backup-simplify]: Simplify 0 into 0 11.816 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.817 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.818 * [backup-simplify]: Simplify (+ 0 0) into 0 11.818 * [backup-simplify]: Simplify (- 1) into -1 11.818 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.819 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 11.821 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 11.822 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 11.824 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 11.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 11.825 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 11.827 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 11.827 * [backup-simplify]: Simplify (- 0) into 0 11.828 * [backup-simplify]: Simplify (+ 0 0) into 0 11.828 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.829 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.830 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 11.831 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.831 * [taylor]: Taking taylor expansion of 0 in k 11.831 * [backup-simplify]: Simplify 0 into 0 11.831 * [backup-simplify]: Simplify 0 into 0 11.831 * [backup-simplify]: Simplify 0 into 0 11.832 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.833 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 11.835 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.835 * [backup-simplify]: Simplify (+ 0 0) into 0 11.835 * [backup-simplify]: Simplify (- 0) into 0 11.835 * [backup-simplify]: Simplify (+ 0 0) into 0 11.836 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 11.838 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 11.840 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 11.843 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 11.849 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 11.849 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 11.849 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 11.849 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.849 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 11.849 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 11.849 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.849 * [taylor]: Taking taylor expansion of 0.5 in k 11.849 * [backup-simplify]: Simplify 0.5 into 0.5 11.849 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.849 * [taylor]: Taking taylor expansion of 1.0 in k 11.850 * [backup-simplify]: Simplify 1.0 into 1.0 11.850 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.850 * [taylor]: Taking taylor expansion of k in k 11.850 * [backup-simplify]: Simplify 0 into 0 11.850 * [backup-simplify]: Simplify 1 into 1 11.850 * [backup-simplify]: Simplify (/ 1 1) into 1 11.850 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 11.850 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 11.850 * [taylor]: Taking taylor expansion of 2.0 in k 11.850 * [backup-simplify]: Simplify 2.0 into 2.0 11.850 * [taylor]: Taking taylor expansion of (/ PI n) in k 11.850 * [taylor]: Taking taylor expansion of PI in k 11.850 * [backup-simplify]: Simplify PI into PI 11.850 * [taylor]: Taking taylor expansion of n in k 11.850 * [backup-simplify]: Simplify n into n 11.850 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 11.850 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 11.850 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 11.851 * [backup-simplify]: Simplify (- 1) into -1 11.851 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.851 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.851 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 11.851 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 11.851 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.851 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 11.851 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 11.851 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.851 * [taylor]: Taking taylor expansion of 0.5 in n 11.851 * [backup-simplify]: Simplify 0.5 into 0.5 11.851 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.851 * [taylor]: Taking taylor expansion of 1.0 in n 11.851 * [backup-simplify]: Simplify 1.0 into 1.0 11.851 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.852 * [taylor]: Taking taylor expansion of k in n 11.852 * [backup-simplify]: Simplify k into k 11.852 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.852 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 11.852 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.852 * [taylor]: Taking taylor expansion of 2.0 in n 11.852 * [backup-simplify]: Simplify 2.0 into 2.0 11.852 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.852 * [taylor]: Taking taylor expansion of PI in n 11.852 * [backup-simplify]: Simplify PI into PI 11.852 * [taylor]: Taking taylor expansion of n in n 11.852 * [backup-simplify]: Simplify 0 into 0 11.852 * [backup-simplify]: Simplify 1 into 1 11.852 * [backup-simplify]: Simplify (/ PI 1) into PI 11.852 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.853 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.853 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.853 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.853 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.854 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.855 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 11.855 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.855 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.855 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 11.855 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 11.855 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.855 * [taylor]: Taking taylor expansion of 0.5 in n 11.855 * [backup-simplify]: Simplify 0.5 into 0.5 11.855 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.855 * [taylor]: Taking taylor expansion of 1.0 in n 11.855 * [backup-simplify]: Simplify 1.0 into 1.0 11.856 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.856 * [taylor]: Taking taylor expansion of k in n 11.856 * [backup-simplify]: Simplify k into k 11.856 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.856 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 11.856 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.856 * [taylor]: Taking taylor expansion of 2.0 in n 11.856 * [backup-simplify]: Simplify 2.0 into 2.0 11.856 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.856 * [taylor]: Taking taylor expansion of PI in n 11.856 * [backup-simplify]: Simplify PI into PI 11.856 * [taylor]: Taking taylor expansion of n in n 11.856 * [backup-simplify]: Simplify 0 into 0 11.856 * [backup-simplify]: Simplify 1 into 1 11.856 * [backup-simplify]: Simplify (/ PI 1) into PI 11.856 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.857 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.857 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.857 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.857 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.858 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.859 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 11.859 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.859 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 11.859 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 11.859 * [taylor]: Taking taylor expansion of 0.5 in k 11.859 * [backup-simplify]: Simplify 0.5 into 0.5 11.859 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 11.859 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 11.860 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.860 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.860 * [taylor]: Taking taylor expansion of 2.0 in k 11.860 * [backup-simplify]: Simplify 2.0 into 2.0 11.860 * [taylor]: Taking taylor expansion of PI in k 11.860 * [backup-simplify]: Simplify PI into PI 11.860 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.861 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.861 * [taylor]: Taking taylor expansion of (log n) in k 11.861 * [taylor]: Taking taylor expansion of n in k 11.861 * [backup-simplify]: Simplify n into n 11.861 * [backup-simplify]: Simplify (log n) into (log n) 11.861 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.861 * [taylor]: Taking taylor expansion of 1.0 in k 11.861 * [backup-simplify]: Simplify 1.0 into 1.0 11.861 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.861 * [taylor]: Taking taylor expansion of k in k 11.861 * [backup-simplify]: Simplify 0 into 0 11.861 * [backup-simplify]: Simplify 1 into 1 11.861 * [backup-simplify]: Simplify (/ 1 1) into 1 11.861 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.862 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 11.862 * [backup-simplify]: Simplify (- 1) into -1 11.862 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.863 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 11.863 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 11.864 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.865 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.866 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.867 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.867 * [backup-simplify]: Simplify (- 0) into 0 11.867 * [backup-simplify]: Simplify (+ 0 0) into 0 11.867 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.868 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.869 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 11.870 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.870 * [taylor]: Taking taylor expansion of 0 in k 11.870 * [backup-simplify]: Simplify 0 into 0 11.870 * [backup-simplify]: Simplify 0 into 0 11.870 * [backup-simplify]: Simplify 0 into 0 11.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.871 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.873 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 11.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.873 * [backup-simplify]: Simplify (- 0) into 0 11.873 * [backup-simplify]: Simplify (+ 0 0) into 0 11.874 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.875 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.876 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 11.883 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.883 * [taylor]: Taking taylor expansion of 0 in k 11.883 * [backup-simplify]: Simplify 0 into 0 11.883 * [backup-simplify]: Simplify 0 into 0 11.883 * [backup-simplify]: Simplify 0 into 0 11.883 * [backup-simplify]: Simplify 0 into 0 11.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.884 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.887 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 11.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.888 * [backup-simplify]: Simplify (- 0) into 0 11.888 * [backup-simplify]: Simplify (+ 0 0) into 0 11.889 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.889 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.891 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 11.892 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.892 * [taylor]: Taking taylor expansion of 0 in k 11.892 * [backup-simplify]: Simplify 0 into 0 11.892 * [backup-simplify]: Simplify 0 into 0 11.893 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 11.893 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 11.893 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 11.893 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.893 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 11.894 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 11.894 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.894 * [taylor]: Taking taylor expansion of 0.5 in k 11.894 * [backup-simplify]: Simplify 0.5 into 0.5 11.894 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.894 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.894 * [taylor]: Taking taylor expansion of k in k 11.894 * [backup-simplify]: Simplify 0 into 0 11.894 * [backup-simplify]: Simplify 1 into 1 11.894 * [backup-simplify]: Simplify (/ 1 1) into 1 11.894 * [taylor]: Taking taylor expansion of 1.0 in k 11.894 * [backup-simplify]: Simplify 1.0 into 1.0 11.894 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 11.894 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 11.894 * [taylor]: Taking taylor expansion of -2.0 in k 11.894 * [backup-simplify]: Simplify -2.0 into -2.0 11.894 * [taylor]: Taking taylor expansion of (/ PI n) in k 11.894 * [taylor]: Taking taylor expansion of PI in k 11.894 * [backup-simplify]: Simplify PI into PI 11.894 * [taylor]: Taking taylor expansion of n in k 11.894 * [backup-simplify]: Simplify n into n 11.894 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 11.894 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 11.894 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 11.894 * [backup-simplify]: Simplify (+ 1 0) into 1 11.895 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.895 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 11.895 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 11.895 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.895 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 11.895 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 11.895 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.895 * [taylor]: Taking taylor expansion of 0.5 in n 11.895 * [backup-simplify]: Simplify 0.5 into 0.5 11.895 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.895 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.895 * [taylor]: Taking taylor expansion of k in n 11.895 * [backup-simplify]: Simplify k into k 11.895 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.895 * [taylor]: Taking taylor expansion of 1.0 in n 11.895 * [backup-simplify]: Simplify 1.0 into 1.0 11.895 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 11.895 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.895 * [taylor]: Taking taylor expansion of -2.0 in n 11.895 * [backup-simplify]: Simplify -2.0 into -2.0 11.895 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.895 * [taylor]: Taking taylor expansion of PI in n 11.895 * [backup-simplify]: Simplify PI into PI 11.895 * [taylor]: Taking taylor expansion of n in n 11.895 * [backup-simplify]: Simplify 0 into 0 11.895 * [backup-simplify]: Simplify 1 into 1 11.896 * [backup-simplify]: Simplify (/ PI 1) into PI 11.896 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.897 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 11.897 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.897 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.897 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.898 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 11.899 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.899 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.899 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 11.899 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 11.899 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.899 * [taylor]: Taking taylor expansion of 0.5 in n 11.899 * [backup-simplify]: Simplify 0.5 into 0.5 11.899 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.899 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.899 * [taylor]: Taking taylor expansion of k in n 11.899 * [backup-simplify]: Simplify k into k 11.899 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.899 * [taylor]: Taking taylor expansion of 1.0 in n 11.899 * [backup-simplify]: Simplify 1.0 into 1.0 11.899 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 11.899 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.899 * [taylor]: Taking taylor expansion of -2.0 in n 11.899 * [backup-simplify]: Simplify -2.0 into -2.0 11.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.899 * [taylor]: Taking taylor expansion of PI in n 11.899 * [backup-simplify]: Simplify PI into PI 11.899 * [taylor]: Taking taylor expansion of n in n 11.899 * [backup-simplify]: Simplify 0 into 0 11.899 * [backup-simplify]: Simplify 1 into 1 11.900 * [backup-simplify]: Simplify (/ PI 1) into PI 11.900 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.901 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 11.901 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.901 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.902 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.902 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 11.903 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.903 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 11.903 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 11.903 * [taylor]: Taking taylor expansion of 0.5 in k 11.903 * [backup-simplify]: Simplify 0.5 into 0.5 11.903 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 11.903 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.903 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.903 * [taylor]: Taking taylor expansion of k in k 11.903 * [backup-simplify]: Simplify 0 into 0 11.903 * [backup-simplify]: Simplify 1 into 1 11.904 * [backup-simplify]: Simplify (/ 1 1) into 1 11.904 * [taylor]: Taking taylor expansion of 1.0 in k 11.904 * [backup-simplify]: Simplify 1.0 into 1.0 11.904 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 11.904 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 11.904 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 11.904 * [taylor]: Taking taylor expansion of -2.0 in k 11.904 * [backup-simplify]: Simplify -2.0 into -2.0 11.904 * [taylor]: Taking taylor expansion of PI in k 11.904 * [backup-simplify]: Simplify PI into PI 11.904 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.905 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 11.905 * [taylor]: Taking taylor expansion of (log n) in k 11.905 * [taylor]: Taking taylor expansion of n in k 11.905 * [backup-simplify]: Simplify n into n 11.905 * [backup-simplify]: Simplify (log n) into (log n) 11.905 * [backup-simplify]: Simplify (+ 1 0) into 1 11.905 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.906 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 11.906 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 11.907 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 11.908 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.908 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.909 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 11.910 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 11.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.911 * [backup-simplify]: Simplify (+ 0 0) into 0 11.911 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.912 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.912 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 11.914 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.914 * [taylor]: Taking taylor expansion of 0 in k 11.914 * [backup-simplify]: Simplify 0 into 0 11.914 * [backup-simplify]: Simplify 0 into 0 11.914 * [backup-simplify]: Simplify 0 into 0 11.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.915 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.916 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 11.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.917 * [backup-simplify]: Simplify (+ 0 0) into 0 11.917 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.918 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.919 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 11.920 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.920 * [taylor]: Taking taylor expansion of 0 in k 11.920 * [backup-simplify]: Simplify 0 into 0 11.920 * [backup-simplify]: Simplify 0 into 0 11.920 * [backup-simplify]: Simplify 0 into 0 11.921 * [backup-simplify]: Simplify 0 into 0 11.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.922 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.925 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 11.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.925 * [backup-simplify]: Simplify (+ 0 0) into 0 11.926 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.927 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.928 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 11.929 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.929 * [taylor]: Taking taylor expansion of 0 in k 11.929 * [backup-simplify]: Simplify 0 into 0 11.929 * [backup-simplify]: Simplify 0 into 0 11.930 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 11.930 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 1) 11.930 * [backup-simplify]: Simplify (cbrt k) into (pow k 1/3) 11.930 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 11.930 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 11.930 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 11.930 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 11.930 * [taylor]: Taking taylor expansion of 1/3 in k 11.930 * [backup-simplify]: Simplify 1/3 into 1/3 11.930 * [taylor]: Taking taylor expansion of (log k) in k 11.930 * [taylor]: Taking taylor expansion of k in k 11.930 * [backup-simplify]: Simplify 0 into 0 11.930 * [backup-simplify]: Simplify 1 into 1 11.931 * [backup-simplify]: Simplify (log 1) into 0 11.931 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 11.931 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 11.931 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 11.931 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 11.931 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 11.931 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 11.931 * [taylor]: Taking taylor expansion of 1/3 in k 11.931 * [backup-simplify]: Simplify 1/3 into 1/3 11.931 * [taylor]: Taking taylor expansion of (log k) in k 11.931 * [taylor]: Taking taylor expansion of k in k 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [backup-simplify]: Simplify 1 into 1 11.931 * [backup-simplify]: Simplify (log 1) into 0 11.932 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 11.932 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 11.932 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 11.932 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 11.933 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.933 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 11.933 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 11.934 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 11.934 * [backup-simplify]: Simplify 0 into 0 11.935 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.935 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 11.936 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 11.936 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.936 * [backup-simplify]: Simplify 0 into 0 11.939 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 11.939 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 11.940 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 11.941 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.941 * [backup-simplify]: Simplify 0 into 0 11.946 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 11.946 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 11.947 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 11.949 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.949 * [backup-simplify]: Simplify 0 into 0 11.957 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 11.957 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 11.958 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 11.960 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.960 * [backup-simplify]: Simplify 0 into 0 11.980 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 11.981 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 11.982 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 11.985 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.985 * [backup-simplify]: Simplify 0 into 0 11.985 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 11.985 * [backup-simplify]: Simplify (cbrt (/ 1 k)) into (pow (/ 1 k) 1/3) 11.985 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 11.985 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 11.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 11.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 11.985 * [taylor]: Taking taylor expansion of 1/3 in k 11.985 * [backup-simplify]: Simplify 1/3 into 1/3 11.985 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 11.985 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.985 * [taylor]: Taking taylor expansion of k in k 11.985 * [backup-simplify]: Simplify 0 into 0 11.985 * [backup-simplify]: Simplify 1 into 1 11.986 * [backup-simplify]: Simplify (/ 1 1) into 1 11.986 * [backup-simplify]: Simplify (log 1) into 0 11.986 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 11.986 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 11.986 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 11.986 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 11.986 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 11.986 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 11.986 * [taylor]: Taking taylor expansion of 1/3 in k 11.986 * [backup-simplify]: Simplify 1/3 into 1/3 11.986 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 11.986 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.986 * [taylor]: Taking taylor expansion of k in k 11.986 * [backup-simplify]: Simplify 0 into 0 11.986 * [backup-simplify]: Simplify 1 into 1 11.986 * [backup-simplify]: Simplify (/ 1 1) into 1 11.987 * [backup-simplify]: Simplify (log 1) into 0 11.987 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 11.987 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 11.987 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 11.987 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3) 11.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.988 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.989 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 11.989 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 11.989 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 11.989 * [backup-simplify]: Simplify 0 into 0 11.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.991 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.992 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 11.992 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 11.993 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.993 * [backup-simplify]: Simplify 0 into 0 11.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.996 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 11.996 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 11.997 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 11.998 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.998 * [backup-simplify]: Simplify 0 into 0 11.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.003 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.004 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.005 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 12.006 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.006 * [backup-simplify]: Simplify 0 into 0 12.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.015 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.015 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.016 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 12.018 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.018 * [backup-simplify]: Simplify 0 into 0 12.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.033 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.034 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.035 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 12.038 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.038 * [backup-simplify]: Simplify 0 into 0 12.038 * [backup-simplify]: Simplify (pow (/ 1 k) -1/3) into (pow (/ 1 k) -1/3) 12.038 * [backup-simplify]: Simplify (cbrt (/ 1 (- k))) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 12.038 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 12.038 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 12.038 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 12.038 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 12.038 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 12.038 * [taylor]: Taking taylor expansion of 1/3 in k 12.038 * [backup-simplify]: Simplify 1/3 into 1/3 12.038 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 12.038 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.038 * [taylor]: Taking taylor expansion of k in k 12.038 * [backup-simplify]: Simplify 0 into 0 12.038 * [backup-simplify]: Simplify 1 into 1 12.038 * [backup-simplify]: Simplify (/ 1 1) into 1 12.039 * [backup-simplify]: Simplify (log 1) into 0 12.039 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.039 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 12.039 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 12.039 * [taylor]: Taking taylor expansion of (cbrt -1) in k 12.039 * [taylor]: Taking taylor expansion of -1 in k 12.039 * [backup-simplify]: Simplify -1 into -1 12.039 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.040 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.040 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 12.040 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 12.040 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 12.040 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 12.040 * [taylor]: Taking taylor expansion of 1/3 in k 12.040 * [backup-simplify]: Simplify 1/3 into 1/3 12.040 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 12.040 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.040 * [taylor]: Taking taylor expansion of k in k 12.040 * [backup-simplify]: Simplify 0 into 0 12.040 * [backup-simplify]: Simplify 1 into 1 12.040 * [backup-simplify]: Simplify (/ 1 1) into 1 12.041 * [backup-simplify]: Simplify (log 1) into 0 12.041 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.041 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 12.041 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 12.041 * [taylor]: Taking taylor expansion of (cbrt -1) in k 12.041 * [taylor]: Taking taylor expansion of -1 in k 12.041 * [backup-simplify]: Simplify -1 into -1 12.041 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.042 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.042 * [backup-simplify]: Simplify (* (pow k -1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 12.042 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 12.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.050 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.050 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.050 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 12.051 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 12.051 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (* 0 (cbrt -1))) into 0 12.051 * [backup-simplify]: Simplify 0 into 0 12.052 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.054 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.055 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.055 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 12.056 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.056 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 12.056 * [backup-simplify]: Simplify 0 into 0 12.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.060 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 12.060 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.061 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 12.062 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.063 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 12.063 * [backup-simplify]: Simplify 0 into 0 12.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.069 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.069 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.070 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 12.072 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.072 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 12.072 * [backup-simplify]: Simplify 0 into 0 12.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.081 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.082 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.083 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 12.085 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.086 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 12.086 * [backup-simplify]: Simplify 0 into 0 12.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.101 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.102 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.103 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 12.106 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.107 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 12.107 * [backup-simplify]: Simplify 0 into 0 12.107 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1)) into (* (pow (* -1 k) 1/3) (cbrt -1)) 12.107 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1 1 1) 12.107 * [backup-simplify]: Simplify (cbrt k) into (pow k 1/3) 12.107 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 12.107 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 12.107 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 12.107 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 12.107 * [taylor]: Taking taylor expansion of 1/3 in k 12.107 * [backup-simplify]: Simplify 1/3 into 1/3 12.107 * [taylor]: Taking taylor expansion of (log k) in k 12.107 * [taylor]: Taking taylor expansion of k in k 12.107 * [backup-simplify]: Simplify 0 into 0 12.107 * [backup-simplify]: Simplify 1 into 1 12.108 * [backup-simplify]: Simplify (log 1) into 0 12.108 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.108 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 12.108 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 12.108 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 12.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 12.108 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 12.108 * [taylor]: Taking taylor expansion of 1/3 in k 12.108 * [backup-simplify]: Simplify 1/3 into 1/3 12.108 * [taylor]: Taking taylor expansion of (log k) in k 12.108 * [taylor]: Taking taylor expansion of k in k 12.108 * [backup-simplify]: Simplify 0 into 0 12.108 * [backup-simplify]: Simplify 1 into 1 12.108 * [backup-simplify]: Simplify (log 1) into 0 12.109 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.109 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 12.109 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 12.109 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 12.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.110 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.110 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 12.111 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 12.111 * [backup-simplify]: Simplify 0 into 0 12.112 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.112 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.113 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 12.114 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.114 * [backup-simplify]: Simplify 0 into 0 12.116 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 12.116 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.117 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 12.118 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.118 * [backup-simplify]: Simplify 0 into 0 12.123 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.129 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.130 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 12.131 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.131 * [backup-simplify]: Simplify 0 into 0 12.139 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.140 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.141 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 12.143 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.143 * [backup-simplify]: Simplify 0 into 0 12.157 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.158 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.159 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 12.162 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.162 * [backup-simplify]: Simplify 0 into 0 12.162 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 12.162 * [backup-simplify]: Simplify (cbrt (/ 1 k)) into (pow (/ 1 k) 1/3) 12.162 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 12.162 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 12.162 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 12.162 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 12.162 * [taylor]: Taking taylor expansion of 1/3 in k 12.162 * [backup-simplify]: Simplify 1/3 into 1/3 12.162 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 12.162 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.162 * [taylor]: Taking taylor expansion of k in k 12.162 * [backup-simplify]: Simplify 0 into 0 12.162 * [backup-simplify]: Simplify 1 into 1 12.162 * [backup-simplify]: Simplify (/ 1 1) into 1 12.163 * [backup-simplify]: Simplify (log 1) into 0 12.163 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.163 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 12.163 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 12.163 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 12.163 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 12.163 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 12.163 * [taylor]: Taking taylor expansion of 1/3 in k 12.163 * [backup-simplify]: Simplify 1/3 into 1/3 12.163 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 12.163 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.163 * [taylor]: Taking taylor expansion of k in k 12.163 * [backup-simplify]: Simplify 0 into 0 12.163 * [backup-simplify]: Simplify 1 into 1 12.163 * [backup-simplify]: Simplify (/ 1 1) into 1 12.164 * [backup-simplify]: Simplify (log 1) into 0 12.164 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.164 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 12.164 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 12.164 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3) 12.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.165 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.166 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 12.166 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 12.166 * [backup-simplify]: Simplify 0 into 0 12.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.168 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.168 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.169 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 12.170 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.170 * [backup-simplify]: Simplify 0 into 0 12.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.173 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 12.173 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.174 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 12.174 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.174 * [backup-simplify]: Simplify 0 into 0 12.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.180 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.180 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.181 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 12.182 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.182 * [backup-simplify]: Simplify 0 into 0 12.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.191 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.191 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.192 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 12.194 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.194 * [backup-simplify]: Simplify 0 into 0 12.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.215 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.215 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.217 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 12.219 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.220 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify (pow (/ 1 k) -1/3) into (pow (/ 1 k) -1/3) 12.220 * [backup-simplify]: Simplify (cbrt (/ 1 (- k))) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 12.220 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 12.220 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 12.220 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 12.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 12.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 12.220 * [taylor]: Taking taylor expansion of 1/3 in k 12.220 * [backup-simplify]: Simplify 1/3 into 1/3 12.220 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 12.220 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.220 * [taylor]: Taking taylor expansion of k in k 12.220 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify 1 into 1 12.220 * [backup-simplify]: Simplify (/ 1 1) into 1 12.220 * [backup-simplify]: Simplify (log 1) into 0 12.221 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.221 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 12.221 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 12.221 * [taylor]: Taking taylor expansion of (cbrt -1) in k 12.221 * [taylor]: Taking taylor expansion of -1 in k 12.221 * [backup-simplify]: Simplify -1 into -1 12.221 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.222 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.222 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 12.222 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 12.222 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 12.222 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 12.222 * [taylor]: Taking taylor expansion of 1/3 in k 12.222 * [backup-simplify]: Simplify 1/3 into 1/3 12.222 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 12.222 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.222 * [taylor]: Taking taylor expansion of k in k 12.222 * [backup-simplify]: Simplify 0 into 0 12.222 * [backup-simplify]: Simplify 1 into 1 12.222 * [backup-simplify]: Simplify (/ 1 1) into 1 12.222 * [backup-simplify]: Simplify (log 1) into 0 12.223 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.223 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 12.223 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 12.223 * [taylor]: Taking taylor expansion of (cbrt -1) in k 12.223 * [taylor]: Taking taylor expansion of -1 in k 12.223 * [backup-simplify]: Simplify -1 into -1 12.223 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.223 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.224 * [backup-simplify]: Simplify (* (pow k -1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 12.224 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 12.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.226 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.226 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 12.226 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 12.227 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (* 0 (cbrt -1))) into 0 12.227 * [backup-simplify]: Simplify 0 into 0 12.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.229 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.230 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.230 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 12.231 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.231 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 12.231 * [backup-simplify]: Simplify 0 into 0 12.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.235 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 12.235 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.236 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 12.237 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.237 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 12.238 * [backup-simplify]: Simplify 0 into 0 12.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.244 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.244 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.245 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 12.246 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.247 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 12.247 * [backup-simplify]: Simplify 0 into 0 12.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.256 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.257 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.258 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 12.260 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.261 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 12.261 * [backup-simplify]: Simplify 0 into 0 12.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.276 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.277 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.278 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 12.287 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.288 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1)) into (* (pow (* -1 k) 1/3) (cbrt -1)) 12.288 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 12.289 * [backup-simplify]: Simplify (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) into (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (cbrt 1.0) 3) (pow (/ 1 k) 1/3))) 12.289 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (cbrt 1.0) 3) (pow (/ 1 k) 1/3))) in (k) around 0 12.289 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (cbrt 1.0) 3) (pow (/ 1 k) 1/3))) in k 12.289 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow k 1/3)))) in k 12.289 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 12.289 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 12.289 * [backup-simplify]: Simplify (fabs (pow k 1/3)) into (fabs (pow k 1/3)) 12.290 * [backup-simplify]: Simplify (/ 1 (fabs (pow k 1/3))) into (/ 1 (fabs (pow k 1/3))) 12.290 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow k 1/3)))) into (sqrt (/ 1 (fabs (pow k 1/3)))) 12.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))))) into 0 12.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 12.290 * [taylor]: Taking taylor expansion of (* (pow (cbrt 1.0) 3) (pow (/ 1 k) 1/3)) in k 12.290 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 3) in k 12.290 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 12.290 * [taylor]: Taking taylor expansion of 1.0 in k 12.290 * [backup-simplify]: Simplify 1.0 into 1.0 12.290 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 12.291 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 12.291 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 12.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 12.291 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 12.291 * [taylor]: Taking taylor expansion of 1/3 in k 12.291 * [backup-simplify]: Simplify 1/3 into 1/3 12.291 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 12.291 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.291 * [taylor]: Taking taylor expansion of k in k 12.291 * [backup-simplify]: Simplify 0 into 0 12.291 * [backup-simplify]: Simplify 1 into 1 12.291 * [backup-simplify]: Simplify (/ 1 1) into 1 12.291 * [backup-simplify]: Simplify (log 1) into 0 12.292 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.292 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 12.292 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 12.292 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (cbrt 1.0) 3) (pow (/ 1 k) 1/3))) in k 12.292 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow k 1/3)))) in k 12.292 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 12.292 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 12.292 * [backup-simplify]: Simplify (fabs (pow k 1/3)) into (fabs (pow k 1/3)) 12.292 * [backup-simplify]: Simplify (/ 1 (fabs (pow k 1/3))) into (/ 1 (fabs (pow k 1/3))) 12.292 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow k 1/3)))) into (sqrt (/ 1 (fabs (pow k 1/3)))) 12.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))))) into 0 12.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 12.292 * [taylor]: Taking taylor expansion of (* (pow (cbrt 1.0) 3) (pow (/ 1 k) 1/3)) in k 12.292 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 3) in k 12.292 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 12.292 * [taylor]: Taking taylor expansion of 1.0 in k 12.292 * [backup-simplify]: Simplify 1.0 into 1.0 12.293 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 12.293 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 12.293 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 12.293 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 12.293 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 12.293 * [taylor]: Taking taylor expansion of 1/3 in k 12.293 * [backup-simplify]: Simplify 1/3 into 1/3 12.293 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 12.293 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.293 * [taylor]: Taking taylor expansion of k in k 12.293 * [backup-simplify]: Simplify 0 into 0 12.293 * [backup-simplify]: Simplify 1 into 1 12.294 * [backup-simplify]: Simplify (/ 1 1) into 1 12.294 * [backup-simplify]: Simplify (log 1) into 0 12.294 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.294 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 12.294 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 12.295 * [backup-simplify]: Simplify (* (cbrt 1.0) (cbrt 1.0)) into (pow (cbrt 1.0) 2) 12.296 * [backup-simplify]: Simplify (* (cbrt 1.0) (pow (cbrt 1.0) 2)) into (pow (cbrt 1.0) 3) 12.297 * [backup-simplify]: Simplify (* (pow (cbrt 1.0) 3) (pow k -1/3)) into (* 1.0 (pow (/ 1 k) 1/3)) 12.297 * [backup-simplify]: Simplify (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* 1.0 (pow (/ 1 k) 1/3))) into (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) 12.297 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) into (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) 12.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.298 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.299 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.299 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 12.299 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 12.300 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (* 0 (cbrt 1.0))) into 0 12.300 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (* 0 (pow (cbrt 1.0) 2))) into 0 12.301 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (* 0 (pow k -1/3))) into 0 12.301 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (* 0 (* 1.0 (pow (/ 1 k) 1/3)))) into 0 12.301 * [backup-simplify]: Simplify 0 into 0 12.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.303 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.303 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.304 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 12.304 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.305 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 12.306 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (* 0 (cbrt 1.0)))) into 0 12.306 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2)))) into 0 12.307 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (* 0 (pow k -1/3)))) into 0 12.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 12.308 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 12.308 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (* 0 (* 1.0 (pow (/ 1 k) 1/3))))) into 0 12.308 * [backup-simplify]: Simplify 0 into 0 12.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.311 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 12.312 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.312 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 12.313 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 12.315 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))) into 0 12.316 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2))))) into 0 12.317 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))) into 0 12.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 12.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 12.318 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (pow (/ 1 k) 1/3)))))) into 0 12.318 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.324 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.324 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.325 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 12.326 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 12.328 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))) into 0 12.329 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2)))))) into 0 12.330 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))) into 0 12.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 12.331 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 12.332 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (pow (/ 1 k) 1/3))))))) into 0 12.332 * [backup-simplify]: Simplify 0 into 0 12.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.340 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.341 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.342 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 12.344 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 12.345 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))))) into 0 12.346 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2))))))) into 0 12.347 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))))) into 0 12.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 12.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 12.349 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (pow (/ 1 k) 1/3)))))))) into 0 12.349 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.371 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.371 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.373 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 12.375 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 12.377 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))))) into 0 12.378 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2)))))))) into 0 12.380 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))))) into 0 12.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 12.381 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 12.382 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (pow (/ 1 k) 1/3))))))))) into 0 12.382 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) into (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) 12.384 * [backup-simplify]: Simplify (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt (/ 1 k)))) (cbrt 1.0))) (sqrt (sqrt (/ 1 k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt (/ 1 k)))))) into (* (pow k 1/3) (* (pow (cbrt 1.0) 3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) 12.384 * [approximate]: Taking taylor expansion of (* (pow k 1/3) (* (pow (cbrt 1.0) 3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) in (k) around 0 12.384 * [taylor]: Taking taylor expansion of (* (pow k 1/3) (* (pow (cbrt 1.0) 3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) in k 12.384 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 12.384 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 12.384 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 12.384 * [taylor]: Taking taylor expansion of 1/3 in k 12.384 * [backup-simplify]: Simplify 1/3 into 1/3 12.384 * [taylor]: Taking taylor expansion of (log k) in k 12.384 * [taylor]: Taking taylor expansion of k in k 12.384 * [backup-simplify]: Simplify 0 into 0 12.384 * [backup-simplify]: Simplify 1 into 1 12.384 * [backup-simplify]: Simplify (log 1) into 0 12.384 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.384 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 12.384 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 12.384 * [taylor]: Taking taylor expansion of (* (pow (cbrt 1.0) 3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 12.384 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 3) in k 12.384 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 12.384 * [taylor]: Taking taylor expansion of 1.0 in k 12.384 * [backup-simplify]: Simplify 1.0 into 1.0 12.385 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 12.385 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 12.385 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 12.385 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 12.385 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 12.385 * [backup-simplify]: Simplify (fabs (pow (/ 1 k) 1/3)) into (fabs (pow (/ 1 k) 1/3)) 12.385 * [backup-simplify]: Simplify (/ 1 (fabs (pow (/ 1 k) 1/3))) into (/ 1 (fabs (pow (/ 1 k) 1/3))) 12.386 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) into (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 12.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 12.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 12.386 * [taylor]: Taking taylor expansion of (* (pow k 1/3) (* (pow (cbrt 1.0) 3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) in k 12.386 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 12.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 12.386 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 12.386 * [taylor]: Taking taylor expansion of 1/3 in k 12.386 * [backup-simplify]: Simplify 1/3 into 1/3 12.386 * [taylor]: Taking taylor expansion of (log k) in k 12.386 * [taylor]: Taking taylor expansion of k in k 12.386 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify 1 into 1 12.386 * [backup-simplify]: Simplify (log 1) into 0 12.387 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.387 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 12.387 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 12.387 * [taylor]: Taking taylor expansion of (* (pow (cbrt 1.0) 3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 12.387 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 3) in k 12.387 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 12.387 * [taylor]: Taking taylor expansion of 1.0 in k 12.387 * [backup-simplify]: Simplify 1.0 into 1.0 12.387 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 12.387 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 12.387 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 12.387 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 12.387 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 12.388 * [backup-simplify]: Simplify (fabs (pow (/ 1 k) 1/3)) into (fabs (pow (/ 1 k) 1/3)) 12.388 * [backup-simplify]: Simplify (/ 1 (fabs (pow (/ 1 k) 1/3))) into (/ 1 (fabs (pow (/ 1 k) 1/3))) 12.388 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) into (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 12.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 12.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 12.389 * [backup-simplify]: Simplify (* (cbrt 1.0) (cbrt 1.0)) into (pow (cbrt 1.0) 2) 12.390 * [backup-simplify]: Simplify (* (cbrt 1.0) (pow (cbrt 1.0) 2)) into (pow (cbrt 1.0) 3) 12.391 * [backup-simplify]: Simplify (* (pow (cbrt 1.0) 3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) into (* 1.0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) 12.391 * [backup-simplify]: Simplify (* (pow k 1/3) (* 1.0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into (* 1.0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) 12.391 * [backup-simplify]: Simplify (* 1.0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into (* 1.0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) 12.392 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (* 0 (cbrt 1.0))) into 0 12.392 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (* 0 (pow (cbrt 1.0) 2))) into 0 12.393 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 12.393 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.394 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.394 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 12.394 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 12.395 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (* 0 (* 1.0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))) into 0 12.395 * [backup-simplify]: Simplify 0 into 0 12.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 12.396 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 12.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 12.397 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (* 0 (cbrt 1.0)))) into 0 12.397 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2)))) into 0 12.398 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))) into 0 12.400 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.400 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.400 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 12.401 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.402 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (* 0 (* 1.0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))) into 0 12.402 * [backup-simplify]: Simplify 0 into 0 12.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 12.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 12.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 12.404 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))) into 0 12.405 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2))))) into 0 12.406 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))) into 0 12.408 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 12.408 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 12.410 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.411 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))) into 0 12.411 * [backup-simplify]: Simplify 0 into 0 12.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 12.412 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 12.413 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 12.414 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))) into 0 12.415 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2)))))) into 0 12.416 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))) into 0 12.421 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.421 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.422 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 12.423 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.424 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))))) into 0 12.424 * [backup-simplify]: Simplify 0 into 0 12.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 12.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 12.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 12.427 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))))) into 0 12.428 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2))))))) into 0 12.429 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))))) into 0 12.437 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.437 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.438 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 12.440 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.441 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))))) into 0 12.441 * [backup-simplify]: Simplify 0 into 0 12.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 12.443 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 12.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 12.445 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))))) into 0 12.446 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2)))))))) into 0 12.447 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))))) into 0 12.468 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.468 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.469 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 12.472 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.473 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))))))) into 0 12.474 * [backup-simplify]: Simplify 0 into 0 12.474 * [backup-simplify]: Simplify (* 1.0 (* (pow (/ 1 k) 1/3) (sqrt (/ 1 (fabs (pow (/ 1 (/ 1 k)) 1/3)))))) into (* 1.0 (* (pow (/ 1 k) 1/3) (sqrt (/ 1 (fabs (pow k 1/3)))))) 12.475 * [backup-simplify]: Simplify (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt (/ 1 (- k))))) (cbrt 1.0))) (sqrt (sqrt (/ 1 (- k))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt (/ 1 (- k))))))) into (* (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (cbrt 1.0) 3) (pow k 1/12)))) 12.475 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (cbrt 1.0) 3) (pow k 1/12)))) in (k) around 0 12.475 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (cbrt 1.0) 3) (pow k 1/12)))) in k 12.475 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) in k 12.475 * [taylor]: Taking taylor expansion of (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k)))) in k 12.475 * [taylor]: Taking taylor expansion of (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))) in k 12.475 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 12.475 * [backup-simplify]: Simplify (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) into (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 12.476 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.476 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.476 * [taylor]: Taking taylor expansion of -1 in k 12.476 * [backup-simplify]: Simplify -1 into -1 12.476 * [taylor]: Taking taylor expansion of k in k 12.476 * [backup-simplify]: Simplify 0 into 0 12.476 * [backup-simplify]: Simplify 1 into 1 12.476 * [backup-simplify]: Simplify (/ -1 1) into -1 12.476 * [backup-simplify]: Simplify (sqrt 0) into 0 12.477 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.477 * [backup-simplify]: Simplify (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 0) into 0 12.478 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (* 0 0)) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 12.478 * [backup-simplify]: Simplify (/ 1 (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) into (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) 12.479 * [backup-simplify]: Simplify (sqrt (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) into (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 12.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.481 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.482 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 12.483 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))))) into (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 12.484 * [backup-simplify]: Simplify (/ (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (* 2 (sqrt (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) 12.484 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (cbrt 1.0) 3) (pow k 1/12))) in k 12.484 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/4) in k 12.484 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (cbrt -1))))) in k 12.484 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (cbrt -1)))) in k 12.484 * [taylor]: Taking taylor expansion of 1/4 in k 12.484 * [backup-simplify]: Simplify 1/4 into 1/4 12.484 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in k 12.484 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 12.484 * [taylor]: Taking taylor expansion of (cbrt -1) in k 12.484 * [taylor]: Taking taylor expansion of -1 in k 12.484 * [backup-simplify]: Simplify -1 into -1 12.484 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.484 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.485 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 12.486 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 12.487 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (cbrt -1)))) into (* 1/4 (log (/ 1 (cbrt -1)))) 12.489 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/4) 12.489 * [taylor]: Taking taylor expansion of (* (pow (cbrt 1.0) 3) (pow k 1/12)) in k 12.489 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 3) in k 12.489 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 12.489 * [taylor]: Taking taylor expansion of 1.0 in k 12.489 * [backup-simplify]: Simplify 1.0 into 1.0 12.489 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 12.490 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 12.490 * [taylor]: Taking taylor expansion of (pow k 1/12) in k 12.490 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log k))) in k 12.490 * [taylor]: Taking taylor expansion of (* 1/12 (log k)) in k 12.490 * [taylor]: Taking taylor expansion of 1/12 in k 12.490 * [backup-simplify]: Simplify 1/12 into 1/12 12.490 * [taylor]: Taking taylor expansion of (log k) in k 12.490 * [taylor]: Taking taylor expansion of k in k 12.490 * [backup-simplify]: Simplify 0 into 0 12.490 * [backup-simplify]: Simplify 1 into 1 12.490 * [backup-simplify]: Simplify (log 1) into 0 12.491 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.491 * [backup-simplify]: Simplify (* 1/12 (log k)) into (* 1/12 (log k)) 12.491 * [backup-simplify]: Simplify (exp (* 1/12 (log k))) into (pow k 1/12) 12.491 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (cbrt 1.0) 3) (pow k 1/12)))) in k 12.491 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) in k 12.491 * [taylor]: Taking taylor expansion of (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k)))) in k 12.491 * [taylor]: Taking taylor expansion of (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))) in k 12.491 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 12.491 * [backup-simplify]: Simplify (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) into (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 12.491 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.491 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.491 * [taylor]: Taking taylor expansion of -1 in k 12.491 * [backup-simplify]: Simplify -1 into -1 12.491 * [taylor]: Taking taylor expansion of k in k 12.491 * [backup-simplify]: Simplify 0 into 0 12.491 * [backup-simplify]: Simplify 1 into 1 12.492 * [backup-simplify]: Simplify (/ -1 1) into -1 12.492 * [backup-simplify]: Simplify (sqrt 0) into 0 12.492 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.493 * [backup-simplify]: Simplify (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 0) into 0 12.493 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (* 0 0)) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 12.494 * [backup-simplify]: Simplify (/ 1 (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) into (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) 12.494 * [backup-simplify]: Simplify (sqrt (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) into (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 12.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.496 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.497 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 12.498 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))))) into (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 12.499 * [backup-simplify]: Simplify (/ (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (* 2 (sqrt (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) 12.499 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (cbrt 1.0) 3) (pow k 1/12))) in k 12.499 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/4) in k 12.499 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (cbrt -1))))) in k 12.499 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (cbrt -1)))) in k 12.499 * [taylor]: Taking taylor expansion of 1/4 in k 12.499 * [backup-simplify]: Simplify 1/4 into 1/4 12.499 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in k 12.499 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 12.499 * [taylor]: Taking taylor expansion of (cbrt -1) in k 12.499 * [taylor]: Taking taylor expansion of -1 in k 12.500 * [backup-simplify]: Simplify -1 into -1 12.500 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.500 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.501 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 12.502 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 12.503 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (cbrt -1)))) into (* 1/4 (log (/ 1 (cbrt -1)))) 12.505 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/4) 12.505 * [taylor]: Taking taylor expansion of (* (pow (cbrt 1.0) 3) (pow k 1/12)) in k 12.505 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 3) in k 12.505 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 12.505 * [taylor]: Taking taylor expansion of 1.0 in k 12.505 * [backup-simplify]: Simplify 1.0 into 1.0 12.505 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 12.506 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 12.506 * [taylor]: Taking taylor expansion of (pow k 1/12) in k 12.506 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log k))) in k 12.506 * [taylor]: Taking taylor expansion of (* 1/12 (log k)) in k 12.506 * [taylor]: Taking taylor expansion of 1/12 in k 12.506 * [backup-simplify]: Simplify 1/12 into 1/12 12.506 * [taylor]: Taking taylor expansion of (log k) in k 12.506 * [taylor]: Taking taylor expansion of k in k 12.506 * [backup-simplify]: Simplify 0 into 0 12.506 * [backup-simplify]: Simplify 1 into 1 12.506 * [backup-simplify]: Simplify (log 1) into 0 12.506 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.506 * [backup-simplify]: Simplify (* 1/12 (log k)) into (* 1/12 (log k)) 12.506 * [backup-simplify]: Simplify (exp (* 1/12 (log k))) into (pow k 1/12) 12.507 * [backup-simplify]: Simplify (* (cbrt 1.0) (cbrt 1.0)) into (pow (cbrt 1.0) 2) 12.508 * [backup-simplify]: Simplify (* (cbrt 1.0) (pow (cbrt 1.0) 2)) into (pow (cbrt 1.0) 3) 12.509 * [backup-simplify]: Simplify (* (pow (cbrt 1.0) 3) (pow k 1/12)) into (* 1.0 (pow k 1/12)) 12.510 * [backup-simplify]: Simplify (* (pow (/ 1 (cbrt -1)) 1/4) (* 1.0 (pow k 1/12))) into (* 1.0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))) 12.512 * [backup-simplify]: Simplify (* (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (* 1.0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)))) into (* 1.0 (* (sqrt +nan.0) (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))) 12.514 * [backup-simplify]: Simplify (* 1.0 (* (sqrt +nan.0) (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))) into (* 1.0 (* (sqrt +nan.0) (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))) 12.515 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.515 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.515 * [backup-simplify]: Simplify (+ (* 1/12 0) (* 0 (log k))) into 0 12.516 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 12.516 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (* 0 (cbrt 1.0))) into 0 12.517 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (* 0 (pow (cbrt 1.0) 2))) into 0 12.517 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (* 0 (pow k 1/12))) into 0 12.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 12.519 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 1) into 0 12.519 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (cbrt -1))))) into 0 12.520 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.521 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (* 0 (* 1.0 (pow k 1/12)))) into 0 12.524 * [backup-simplify]: Simplify (+ (* (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 0) (* (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) (* 1.0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))) into (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))) 12.526 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))) into (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))) 12.527 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.528 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.528 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (log k)))) into 0 12.529 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 12.530 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (* 0 (cbrt 1.0)))) into 0 12.531 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2)))) into 0 12.531 * [backup-simplify]: Simplify (+ (* (pow (cbrt 1.0) 3) 0) (+ (* 0 0) (* 0 (pow k 1/12)))) into 0 12.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 12.534 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 2) into 0 12.535 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1)))))) into 0 12.536 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.537 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (+ (* 0 0) (* 0 (* 1.0 (pow k 1/12))))) into 0 12.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.547 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 12.550 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) (* (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (/ (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))))) into (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 12.552 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (pow (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) 2) (+)) (* 2 (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))))) into (* -1/2 (* (/ (+ (* +nan.0 (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) (sqrt +nan.0)) (sqrt (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 12.557 * [backup-simplify]: Simplify (+ (* (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 0) (+ (* (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) 0) (* (* -1/2 (* (/ (+ (* +nan.0 (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) (sqrt +nan.0)) (sqrt (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (* 1.0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)))))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (pow (sqrt +nan.0) 3)))))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))))) 12.563 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (pow (sqrt +nan.0) 3)))))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (pow (sqrt +nan.0) 3)))))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))))) 12.574 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ 1 (- k)) 1/12) (/ 1 (pow (sqrt +nan.0) 3)))))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ 1 (- k)) 1/12) (/ 1 (sqrt +nan.0))))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ 1 (- k)) 1/12) (/ 1 (sqrt +nan.0))))))) (/ 1 (- k))) (* 1.0 (* (sqrt +nan.0) (* (sqrt (/ 1 (fabs (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1))))) (* (pow (/ 1 (- k)) 1/12) (pow (/ 1 (cbrt -1)) 1/4))))))) into (- (* 1.0 (* (sqrt +nan.0) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ -1 k) 1/12) (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))))))) (+ (* +nan.0 (* (pow (/ -1 (pow k 13)) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))))) (- (+ (* +nan.0 (* (pow (/ -1 (pow k 25)) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))))) (- (* +nan.0 (* (pow (/ -1 (pow k 25)) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))) (/ 1 (pow (sqrt +nan.0) 3))))))))))) 12.574 * * * [progress]: simplifying candidates 12.649 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (+ (- (- (log (cbrt 1.0)) (- (log (sqrt (fabs (cbrt k)))) (log (cbrt 1.0)))) (log (sqrt (sqrt k)))) (- (log (cbrt 1.0)) (log (sqrt (sqrt (cbrt k)))))) (+ (- (- (log (cbrt 1.0)) (- (log (sqrt (fabs (cbrt k)))) (log (cbrt 1.0)))) (log (sqrt (sqrt k)))) (log (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (+ (- (- (log (cbrt 1.0)) (log (/ (sqrt (fabs (cbrt k))) (cbrt 1.0)))) (log (sqrt (sqrt k)))) (- (log (cbrt 1.0)) (log (sqrt (sqrt (cbrt k)))))) (+ (- (- (log (cbrt 1.0)) (log (/ (sqrt (fabs (cbrt k))) (cbrt 1.0)))) (log (sqrt (sqrt k)))) (log (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (+ (- (log (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0)))) (log (sqrt (sqrt k)))) (- (log (cbrt 1.0)) (log (sqrt (sqrt (cbrt k)))))) (+ (- (log (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0)))) (log (sqrt (sqrt k)))) (log (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (+ (log (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k)))) (- (log (cbrt 1.0)) (log (sqrt (sqrt (cbrt k)))))) (+ (log (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k)))) (log (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (log (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (exp (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ 1.0 (/ (* (* (sqrt (fabs (cbrt k))) (sqrt (fabs (cbrt k)))) (sqrt (fabs (cbrt k)))) 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ 1.0 (* (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))))) (* (/ (/ 1.0 (/ (* (* (sqrt (fabs (cbrt k))) (sqrt (fabs (cbrt k)))) (sqrt (fabs (cbrt k)))) 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ 1.0 (* (* (/ (sqrt (fabs (cbrt k))) (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ 1.0 (* (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))))) (* (/ (/ 1.0 (* (* (/ (sqrt (fabs (cbrt k))) (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (* (* (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0)))) (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ 1.0 (* (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))))) (* (/ (* (* (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0)))) (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (* (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k)))) (/ 1.0 (* (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))))) (* (* (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k)))) (* (* (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (cbrt (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (cbrt (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))))) (cbrt (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (* (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (sqrt (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (sqrt (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (cbrt 1.0)) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))) (* (sqrt (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) 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PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) (* 1.0 (* (pow (/ 1 k) 1/3) (sqrt (/ 1 (fabs (pow k 1/3)))))) (- (* 1.0 (* (sqrt +nan.0) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ -1 k) 1/12) (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))))))) (+ (* +nan.0 (* (pow (/ -1 (pow k 13)) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))))) (- (+ (* +nan.0 (* (pow (/ -1 (pow k 25)) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))))) (- (* +nan.0 (* (pow (/ -1 (pow k 25)) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))) (/ 1 (pow (sqrt +nan.0) 3))))))))))) 12.753 * * [simplify]: Extracting # 0 : cost 0 12.754 * * [simplify]: Extracting # 1 : cost 0 12.757 * * [simplify]: Extracting # 2 : cost 0 12.759 * * [simplify]: Extracting # 3 : cost 0 12.762 * * [simplify]: Extracting # 4 : cost 0 12.765 * * [simplify]: Extracting # 5 : cost 0 12.767 * * [simplify]: Extracting # 6 : cost 0 12.770 * * [simplify]: Extracting # 7 : cost 0 12.772 * * [simplify]: Extracting # 8 : cost 0 12.775 * * [simplify]: Extracting # 9 : cost 0 12.777 * * [simplify]: Extracting # 10 : cost 0 12.780 * * [simplify]: Extracting # 11 : cost 0 12.783 * * [simplify]: Extracting # 12 : cost 0 12.785 * * [simplify]: Extracting # 13 : cost 0 12.789 * * [simplify]: Extracting # 14 : cost 0 12.791 * * [simplify]: Extracting # 15 : cost 0 12.794 * * [simplify]: Extracting # 16 : cost 0 12.796 * * [simplify]: Extracting # 17 : cost 0 12.799 * * [simplify]: Extracting # 18 : cost 0 12.802 * * [simplify]: iteration 0 : 1357 enodes (cost 74630 ) 13.161 * * [simplify]: Extracting # 0 : cost 0 13.167 * * [simplify]: Extracting # 1 : cost 0 13.174 * * [simplify]: Extracting # 2 : cost 0 13.186 * * [simplify]: Extracting # 3 : cost 0 13.192 * * [simplify]: Extracting # 4 : cost 0 13.199 * * [simplify]: Extracting # 5 : cost 0 13.205 * * [simplify]: Extracting # 6 : cost 0 13.213 * * [simplify]: iteration 1 : 4469 enodes (cost 74238 ) 14.991 * * [simplify]: Extracting # 0 : cost 0 14.997 * * [simplify]: Extracting # 1 : cost 0 15.004 * * [simplify]: Extracting # 2 : cost 0 15.014 * * [simplify]: Extracting # 3 : cost 0 15.020 * * [simplify]: Extracting # 4 : cost 0 15.027 * * [simplify]: Extracting # 5 : cost 0 15.034 * * [simplify]: iteration done: 5000 enodes (cost 73858 ) 15.059 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 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(cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (* (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (cbrt (sqrt (sqrt k)))) (* (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (/ (* (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (* (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (* (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k))) (/ (* (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (* (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k))) (/ (* (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (* (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ 1 (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ 1 (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ 1 (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ 1 (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ 1 (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ 1 (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ 1 (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ 1 (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ 1 (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (* (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt k))) (cbrt 1.0)) (* (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (- (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (log n) 2) (pow (* (* 2.0 PI) n) 0.5)))) (+ (* 0.25 (* (* (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (log n)) (pow k 2))) (pow (* (* 2.0 PI) n) 0.5))) (* (* 0.5 k) (+ (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (cbrt k) (pow (/ 1 k) -1/3) (* (cbrt (- k)) (cbrt -1)) (cbrt k) (pow (/ 1 k) -1/3) (* (cbrt (- k)) (cbrt -1)) (* (* 1.0 (cbrt (/ 1 k))) (sqrt (/ 1 (fabs (cbrt k))))) (* (* 1.0 (cbrt (/ 1 k))) (sqrt (/ 1 (fabs (cbrt k))))) (- (* (* (sqrt +nan.0) (* (* (pow (/ 1 (cbrt -1)) 1/4) (pow (/ -1 k) 1/12)) (sqrt (/ 1 (fabs (* (cbrt (- k)) (cbrt -1))))))) 1.0) (- (* (* +nan.0 (pow (/ -1 (pow k 13)) 1/12)) (* (pow (/ 1 (cbrt -1)) 1/4) (/ (sqrt (/ 1 (fabs (* (cbrt (- k)) (cbrt -1))))) (sqrt +nan.0)))) (* (* +nan.0 (pow (/ -1 (pow k 25)) 1/12)) (- (* (pow (/ 1 (cbrt -1)) 1/4) (/ (sqrt (/ 1 (fabs (* (cbrt (- k)) (cbrt -1))))) (sqrt +nan.0))) (* (pow (/ 1 (cbrt -1)) 1/4) (/ (sqrt (/ 1 (fabs (* (cbrt (- k)) (cbrt -1))))) (pow (sqrt +nan.0) 3))))))) 15.090 * * * [progress]: adding candidates to table 27.570 * [progress]: [Phase 3 of 3] Extracting. 27.570 * * [regime]: Finding splitpoints for: (# # # # # # # #) 27.573 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 27.573 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 27.616 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 27.659 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 27.701 * * * [regime]: Found split indices: #