49.666 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.147 * * * [progress]: [2/2] Setting up program. 0.152 * [progress]: [Phase 2 of 3] Improving. 0.153 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.153 * * [simplify]: Extracting # 0 : cost 0 0.153 * * [simplify]: Extracting # 1 : cost 0 0.153 * * [simplify]: Extracting # 2 : cost 0 0.153 * * [simplify]: Extracting # 3 : cost 0 0.153 * * [simplify]: Extracting # 4 : cost 0 0.153 * * [simplify]: Extracting # 5 : cost 0 0.153 * * [simplify]: Extracting # 6 : cost 0 0.153 * * [simplify]: Extracting # 7 : cost 0 0.153 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.159 * * [simplify]: Extracting # 0 : cost 0 0.160 * * [simplify]: Extracting # 1 : cost 0 0.160 * * [simplify]: Extracting # 2 : cost 0 0.160 * * [simplify]: Extracting # 3 : cost 0 0.160 * * [simplify]: Extracting # 4 : cost 0 0.160 * * [simplify]: Extracting # 5 : cost 0 0.160 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.172 * * [simplify]: Extracting # 0 : cost 0 0.172 * * [simplify]: Extracting # 1 : cost 0 0.172 * * [simplify]: Extracting # 2 : cost 0 0.172 * * [simplify]: Extracting # 3 : cost 0 0.173 * * [simplify]: Extracting # 4 : cost 0 0.173 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.198 * * [simplify]: Extracting # 0 : cost 0 0.198 * * [simplify]: Extracting # 1 : cost 0 0.198 * * [simplify]: Extracting # 2 : cost 0 0.199 * * [simplify]: Extracting # 3 : cost 0 0.199 * * [simplify]: Extracting # 4 : cost 0 0.199 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.257 * * [simplify]: Extracting # 0 : cost 0 0.258 * * [simplify]: Extracting # 1 : cost 0 0.258 * * [simplify]: Extracting # 2 : cost 0 0.259 * * [simplify]: Extracting # 3 : cost 0 0.259 * * [simplify]: Extracting # 4 : cost 0 0.260 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.482 * * [simplify]: Extracting # 0 : cost 0 0.483 * * [simplify]: Extracting # 1 : cost 0 0.485 * * [simplify]: Extracting # 2 : cost 0 0.486 * * [simplify]: Extracting # 3 : cost 0 0.488 * * [simplify]: Extracting # 4 : cost 0 0.489 * * [simplify]: iteration 5 : 853 enodes (cost 16 ) 2.411 * * [simplify]: Extracting # 0 : cost 0 2.417 * * [simplify]: Extracting # 1 : cost 0 2.422 * * [simplify]: Extracting # 2 : cost 0 2.427 * * [simplify]: Extracting # 3 : cost 0 2.437 * * [simplify]: Extracting # 4 : cost 0 2.442 * * [simplify]: iteration 6 : 3196 enodes (cost 16 ) 4.274 * * [simplify]: Extracting # 0 : cost 0 4.280 * * [simplify]: Extracting # 1 : cost 0 4.285 * * [simplify]: Extracting # 2 : cost 0 4.292 * * [simplify]: Extracting # 3 : cost 0 4.299 * * [simplify]: Extracting # 4 : cost 0 4.307 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 4.307 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 4.308 * * [progress]: iteration 1 / 4 4.308 * * * [progress]: picking best candidate 4.310 * * * * [pick]: Picked # 4.310 * * * [progress]: localizing error 4.326 * * * [progress]: generating rewritten candidates 4.326 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.366 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.377 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.404 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.476 * * * [progress]: generating series expansions 4.476 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.476 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 4.476 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.477 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.477 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.477 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.477 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.477 * [taylor]: Taking taylor expansion of 0.5 in k 4.477 * [backup-simplify]: Simplify 0.5 into 0.5 4.477 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.477 * [taylor]: Taking taylor expansion of 1.0 in k 4.477 * [backup-simplify]: Simplify 1.0 into 1.0 4.477 * [taylor]: Taking taylor expansion of k in k 4.477 * [backup-simplify]: Simplify 0 into 0 4.477 * [backup-simplify]: Simplify 1 into 1 4.477 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.477 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.477 * [taylor]: Taking taylor expansion of 2.0 in k 4.477 * [backup-simplify]: Simplify 2.0 into 2.0 4.477 * [taylor]: Taking taylor expansion of (* n PI) in k 4.477 * [taylor]: Taking taylor expansion of n in k 4.477 * [backup-simplify]: Simplify n into n 4.477 * [taylor]: Taking taylor expansion of PI in k 4.477 * [backup-simplify]: Simplify PI into PI 4.477 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.477 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.477 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.477 * [backup-simplify]: Simplify (- 0) into 0 4.478 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.478 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.478 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.478 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.478 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.478 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.479 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.479 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.479 * [taylor]: Taking taylor expansion of 0.5 in n 4.479 * [backup-simplify]: Simplify 0.5 into 0.5 4.479 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.479 * [taylor]: Taking taylor expansion of 1.0 in n 4.479 * [backup-simplify]: Simplify 1.0 into 1.0 4.479 * [taylor]: Taking taylor expansion of k in n 4.479 * [backup-simplify]: Simplify k into k 4.479 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.479 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.479 * [taylor]: Taking taylor expansion of 2.0 in n 4.479 * [backup-simplify]: Simplify 2.0 into 2.0 4.479 * [taylor]: Taking taylor expansion of (* n PI) in n 4.479 * [taylor]: Taking taylor expansion of n in n 4.479 * [backup-simplify]: Simplify 0 into 0 4.479 * [backup-simplify]: Simplify 1 into 1 4.479 * [taylor]: Taking taylor expansion of PI in n 4.479 * [backup-simplify]: Simplify PI into PI 4.479 * [backup-simplify]: Simplify (* 0 PI) into 0 4.480 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.481 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.482 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.483 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.483 * [backup-simplify]: Simplify (- k) into (- k) 4.483 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.483 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.484 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.484 * [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)))) 4.485 * [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))))) 4.485 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.485 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.485 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.485 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.485 * [taylor]: Taking taylor expansion of 0.5 in n 4.485 * [backup-simplify]: Simplify 0.5 into 0.5 4.485 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.485 * [taylor]: Taking taylor expansion of 1.0 in n 4.485 * [backup-simplify]: Simplify 1.0 into 1.0 4.486 * [taylor]: Taking taylor expansion of k in n 4.486 * [backup-simplify]: Simplify k into k 4.486 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.486 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.486 * [taylor]: Taking taylor expansion of 2.0 in n 4.486 * [backup-simplify]: Simplify 2.0 into 2.0 4.486 * [taylor]: Taking taylor expansion of (* n PI) in n 4.486 * [taylor]: Taking taylor expansion of n in n 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify 1 into 1 4.486 * [taylor]: Taking taylor expansion of PI in n 4.486 * [backup-simplify]: Simplify PI into PI 4.486 * [backup-simplify]: Simplify (* 0 PI) into 0 4.486 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.487 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.488 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.489 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.489 * [backup-simplify]: Simplify (- k) into (- k) 4.489 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.489 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.490 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.491 * [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)))) 4.492 * [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))))) 4.492 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.492 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.492 * [taylor]: Taking taylor expansion of 0.5 in k 4.492 * [backup-simplify]: Simplify 0.5 into 0.5 4.492 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.492 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.492 * [taylor]: Taking taylor expansion of 1.0 in k 4.492 * [backup-simplify]: Simplify 1.0 into 1.0 4.492 * [taylor]: Taking taylor expansion of k in k 4.492 * [backup-simplify]: Simplify 0 into 0 4.492 * [backup-simplify]: Simplify 1 into 1 4.492 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.492 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.492 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.492 * [taylor]: Taking taylor expansion of 2.0 in k 4.492 * [backup-simplify]: Simplify 2.0 into 2.0 4.492 * [taylor]: Taking taylor expansion of PI in k 4.492 * [backup-simplify]: Simplify PI into PI 4.493 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.494 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.494 * [taylor]: Taking taylor expansion of (log n) in k 4.494 * [taylor]: Taking taylor expansion of n in k 4.494 * [backup-simplify]: Simplify n into n 4.494 * [backup-simplify]: Simplify (log n) into (log n) 4.495 * [backup-simplify]: Simplify (- 0) into 0 4.495 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.496 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 4.497 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 4.499 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 4.500 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.501 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.504 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.505 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.506 * [backup-simplify]: Simplify (- 0) into 0 4.506 * [backup-simplify]: Simplify (+ 0 0) into 0 4.507 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.514 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.516 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 4.518 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.518 * [taylor]: Taking taylor expansion of 0 in k 4.518 * [backup-simplify]: Simplify 0 into 0 4.518 * [backup-simplify]: Simplify 0 into 0 4.519 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.521 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.522 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.522 * [backup-simplify]: Simplify (+ 0 0) into 0 4.523 * [backup-simplify]: Simplify (- 1) into -1 4.523 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.525 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 4.527 * [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)))) 4.531 * [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)))))) 4.534 * [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)))))) 4.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.537 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.540 * [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 4.541 * [backup-simplify]: Simplify (- 0) into 0 4.541 * [backup-simplify]: Simplify (+ 0 0) into 0 4.542 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.543 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.545 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.547 * [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 4.547 * [taylor]: Taking taylor expansion of 0 in k 4.547 * [backup-simplify]: Simplify 0 into 0 4.547 * [backup-simplify]: Simplify 0 into 0 4.547 * [backup-simplify]: Simplify 0 into 0 4.548 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.552 * [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 4.554 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.554 * [backup-simplify]: Simplify (+ 0 0) into 0 4.554 * [backup-simplify]: Simplify (- 0) into 0 4.555 * [backup-simplify]: Simplify (+ 0 0) into 0 4.557 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.559 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 4.564 * [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)))))) 4.569 * [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)))))) 4.580 * [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)))))) 4.580 * [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)))) 4.581 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.581 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.581 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.581 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.581 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.581 * [taylor]: Taking taylor expansion of 0.5 in k 4.581 * [backup-simplify]: Simplify 0.5 into 0.5 4.581 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.581 * [taylor]: Taking taylor expansion of 1.0 in k 4.581 * [backup-simplify]: Simplify 1.0 into 1.0 4.581 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.581 * [taylor]: Taking taylor expansion of k in k 4.581 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify 1 into 1 4.581 * [backup-simplify]: Simplify (/ 1 1) into 1 4.581 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.581 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.582 * [taylor]: Taking taylor expansion of 2.0 in k 4.582 * [backup-simplify]: Simplify 2.0 into 2.0 4.582 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.582 * [taylor]: Taking taylor expansion of PI in k 4.582 * [backup-simplify]: Simplify PI into PI 4.582 * [taylor]: Taking taylor expansion of n in k 4.582 * [backup-simplify]: Simplify n into n 4.582 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.582 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.582 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.582 * [backup-simplify]: Simplify (- 1) into -1 4.583 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.583 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.583 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.584 * [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))))) 4.584 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.584 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.584 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.584 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.584 * [taylor]: Taking taylor expansion of 0.5 in n 4.584 * [backup-simplify]: Simplify 0.5 into 0.5 4.584 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.584 * [taylor]: Taking taylor expansion of 1.0 in n 4.584 * [backup-simplify]: Simplify 1.0 into 1.0 4.584 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.584 * [taylor]: Taking taylor expansion of k in n 4.584 * [backup-simplify]: Simplify k into k 4.584 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.584 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.584 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.584 * [taylor]: Taking taylor expansion of 2.0 in n 4.584 * [backup-simplify]: Simplify 2.0 into 2.0 4.584 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.585 * [taylor]: Taking taylor expansion of PI in n 4.585 * [backup-simplify]: Simplify PI into PI 4.585 * [taylor]: Taking taylor expansion of n in n 4.585 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify 1 into 1 4.585 * [backup-simplify]: Simplify (/ PI 1) into PI 4.586 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.587 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.587 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.587 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.587 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.589 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.590 * [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)))) 4.592 * [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))))) 4.592 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.592 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.592 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.592 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.592 * [taylor]: Taking taylor expansion of 0.5 in n 4.592 * [backup-simplify]: Simplify 0.5 into 0.5 4.592 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.592 * [taylor]: Taking taylor expansion of 1.0 in n 4.592 * [backup-simplify]: Simplify 1.0 into 1.0 4.592 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.592 * [taylor]: Taking taylor expansion of k in n 4.592 * [backup-simplify]: Simplify k into k 4.592 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.592 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.592 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.592 * [taylor]: Taking taylor expansion of 2.0 in n 4.592 * [backup-simplify]: Simplify 2.0 into 2.0 4.592 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.592 * [taylor]: Taking taylor expansion of PI in n 4.592 * [backup-simplify]: Simplify PI into PI 4.592 * [taylor]: Taking taylor expansion of n in n 4.592 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify 1 into 1 4.593 * [backup-simplify]: Simplify (/ PI 1) into PI 4.593 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.595 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.595 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.595 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.595 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.596 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.598 * [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)))) 4.599 * [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))))) 4.599 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.599 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.599 * [taylor]: Taking taylor expansion of 0.5 in k 4.599 * [backup-simplify]: Simplify 0.5 into 0.5 4.599 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.599 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.599 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.599 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.599 * [taylor]: Taking taylor expansion of 2.0 in k 4.599 * [backup-simplify]: Simplify 2.0 into 2.0 4.599 * [taylor]: Taking taylor expansion of PI in k 4.599 * [backup-simplify]: Simplify PI into PI 4.600 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.601 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.601 * [taylor]: Taking taylor expansion of (log n) in k 4.601 * [taylor]: Taking taylor expansion of n in k 4.601 * [backup-simplify]: Simplify n into n 4.601 * [backup-simplify]: Simplify (log n) into (log n) 4.601 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.602 * [taylor]: Taking taylor expansion of 1.0 in k 4.602 * [backup-simplify]: Simplify 1.0 into 1.0 4.602 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.602 * [taylor]: Taking taylor expansion of k in k 4.602 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify 1 into 1 4.602 * [backup-simplify]: Simplify (/ 1 1) into 1 4.602 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.603 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 4.604 * [backup-simplify]: Simplify (- 1) into -1 4.604 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.605 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 4.606 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 4.608 * [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))))) 4.608 * [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))))) 4.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.610 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.611 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.611 * [backup-simplify]: Simplify (- 0) into 0 4.611 * [backup-simplify]: Simplify (+ 0 0) into 0 4.611 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.612 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.613 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 4.614 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.614 * [taylor]: Taking taylor expansion of 0 in k 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify 0 into 0 4.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.616 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.618 * [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 4.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.618 * [backup-simplify]: Simplify (- 0) into 0 4.618 * [backup-simplify]: Simplify (+ 0 0) into 0 4.619 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.620 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.621 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 4.622 * [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 4.622 * [taylor]: Taking taylor expansion of 0 in k 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.624 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.627 * [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 4.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.628 * [backup-simplify]: Simplify (- 0) into 0 4.628 * [backup-simplify]: Simplify (+ 0 0) into 0 4.629 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.630 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.631 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 4.633 * [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 4.633 * [taylor]: Taking taylor expansion of 0 in k 4.633 * [backup-simplify]: Simplify 0 into 0 4.633 * [backup-simplify]: Simplify 0 into 0 4.634 * [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)))) 4.634 * [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))) 4.634 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.634 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.634 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.634 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.634 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.634 * [taylor]: Taking taylor expansion of 0.5 in k 4.634 * [backup-simplify]: Simplify 0.5 into 0.5 4.634 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.635 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.635 * [taylor]: Taking taylor expansion of k in k 4.635 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify 1 into 1 4.635 * [backup-simplify]: Simplify (/ 1 1) into 1 4.635 * [taylor]: Taking taylor expansion of 1.0 in k 4.635 * [backup-simplify]: Simplify 1.0 into 1.0 4.635 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.635 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.635 * [taylor]: Taking taylor expansion of -2.0 in k 4.635 * [backup-simplify]: Simplify -2.0 into -2.0 4.635 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.635 * [taylor]: Taking taylor expansion of PI in k 4.635 * [backup-simplify]: Simplify PI into PI 4.635 * [taylor]: Taking taylor expansion of n in k 4.635 * [backup-simplify]: Simplify n into n 4.635 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.635 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.635 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.635 * [backup-simplify]: Simplify (+ 1 0) into 1 4.636 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.636 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.636 * [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)))))) 4.636 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.636 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.636 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.637 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.637 * [taylor]: Taking taylor expansion of 0.5 in n 4.637 * [backup-simplify]: Simplify 0.5 into 0.5 4.637 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.637 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.637 * [taylor]: Taking taylor expansion of k in n 4.637 * [backup-simplify]: Simplify k into k 4.637 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.637 * [taylor]: Taking taylor expansion of 1.0 in n 4.637 * [backup-simplify]: Simplify 1.0 into 1.0 4.637 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.637 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.637 * [taylor]: Taking taylor expansion of -2.0 in n 4.637 * [backup-simplify]: Simplify -2.0 into -2.0 4.637 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.637 * [taylor]: Taking taylor expansion of PI in n 4.637 * [backup-simplify]: Simplify PI into PI 4.637 * [taylor]: Taking taylor expansion of n in n 4.637 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify 1 into 1 4.638 * [backup-simplify]: Simplify (/ PI 1) into PI 4.638 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.640 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.640 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.640 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.641 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.643 * [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)))) 4.644 * [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))))) 4.644 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.644 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.644 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.644 * [taylor]: Taking taylor expansion of 0.5 in n 4.644 * [backup-simplify]: Simplify 0.5 into 0.5 4.644 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.644 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.644 * [taylor]: Taking taylor expansion of k in n 4.644 * [backup-simplify]: Simplify k into k 4.644 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.644 * [taylor]: Taking taylor expansion of 1.0 in n 4.644 * [backup-simplify]: Simplify 1.0 into 1.0 4.644 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.645 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.645 * [taylor]: Taking taylor expansion of -2.0 in n 4.645 * [backup-simplify]: Simplify -2.0 into -2.0 4.645 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.645 * [taylor]: Taking taylor expansion of PI in n 4.645 * [backup-simplify]: Simplify PI into PI 4.645 * [taylor]: Taking taylor expansion of n in n 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 1 into 1 4.645 * [backup-simplify]: Simplify (/ PI 1) into PI 4.646 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.647 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.647 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.647 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.654 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.655 * [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)))) 4.656 * [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))))) 4.656 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.656 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.656 * [taylor]: Taking taylor expansion of 0.5 in k 4.656 * [backup-simplify]: Simplify 0.5 into 0.5 4.656 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.656 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.657 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.657 * [taylor]: Taking taylor expansion of k in k 4.657 * [backup-simplify]: Simplify 0 into 0 4.657 * [backup-simplify]: Simplify 1 into 1 4.657 * [backup-simplify]: Simplify (/ 1 1) into 1 4.657 * [taylor]: Taking taylor expansion of 1.0 in k 4.657 * [backup-simplify]: Simplify 1.0 into 1.0 4.657 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.657 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.657 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.657 * [taylor]: Taking taylor expansion of -2.0 in k 4.657 * [backup-simplify]: Simplify -2.0 into -2.0 4.657 * [taylor]: Taking taylor expansion of PI in k 4.657 * [backup-simplify]: Simplify PI into PI 4.658 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.659 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.659 * [taylor]: Taking taylor expansion of (log n) in k 4.659 * [taylor]: Taking taylor expansion of n in k 4.659 * [backup-simplify]: Simplify n into n 4.659 * [backup-simplify]: Simplify (log n) into (log n) 4.660 * [backup-simplify]: Simplify (+ 1 0) into 1 4.660 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.661 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 4.662 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 4.663 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 4.665 * [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))))) 4.666 * [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))))) 4.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.668 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.670 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.670 * [backup-simplify]: Simplify (+ 0 0) into 0 4.671 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.672 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.674 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.676 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.676 * [taylor]: Taking taylor expansion of 0 in k 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.678 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.682 * [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 4.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.682 * [backup-simplify]: Simplify (+ 0 0) into 0 4.683 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.685 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.686 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 4.689 * [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 4.689 * [taylor]: Taking taylor expansion of 0 in k 4.689 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify 0 into 0 4.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.692 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.698 * [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 4.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.699 * [backup-simplify]: Simplify (+ 0 0) into 0 4.700 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.701 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.703 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 4.706 * [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 4.706 * [taylor]: Taking taylor expansion of 0 in k 4.706 * [backup-simplify]: Simplify 0 into 0 4.706 * [backup-simplify]: Simplify 0 into 0 4.708 * [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)))))) 4.708 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.708 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.708 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.708 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.708 * [taylor]: Taking taylor expansion of 1.0 in k 4.708 * [backup-simplify]: Simplify 1.0 into 1.0 4.708 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.708 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.708 * [taylor]: Taking taylor expansion of k in k 4.708 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify 1 into 1 4.709 * [backup-simplify]: Simplify (/ 1 1) into 1 4.709 * [backup-simplify]: Simplify (sqrt 0) into 0 4.711 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.711 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.711 * [taylor]: Taking taylor expansion of 1.0 in k 4.711 * [backup-simplify]: Simplify 1.0 into 1.0 4.711 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.711 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.711 * [taylor]: Taking taylor expansion of k in k 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [backup-simplify]: Simplify (/ 1 1) into 1 4.712 * [backup-simplify]: Simplify (sqrt 0) into 0 4.713 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.714 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.714 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.716 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.720 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.722 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.722 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.729 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.730 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.731 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.731 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.732 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.732 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.732 * [taylor]: Taking taylor expansion of 1.0 in k 4.732 * [backup-simplify]: Simplify 1.0 into 1.0 4.732 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.732 * [taylor]: Taking taylor expansion of k in k 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify 1 into 1 4.732 * [backup-simplify]: Simplify (sqrt 0) into 0 4.733 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.733 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.733 * [taylor]: Taking taylor expansion of 1.0 in k 4.734 * [backup-simplify]: Simplify 1.0 into 1.0 4.734 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.734 * [taylor]: Taking taylor expansion of k in k 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 1 into 1 4.734 * [backup-simplify]: Simplify (sqrt 0) into 0 4.735 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.736 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.736 * [backup-simplify]: Simplify 0 into 0 4.737 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.738 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.741 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.743 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.743 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.747 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.750 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.750 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.752 * [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)))))))) 4.752 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.752 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.752 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.752 * [taylor]: Taking taylor expansion of 1.0 in k 4.752 * [backup-simplify]: Simplify 1.0 into 1.0 4.752 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.752 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.753 * [taylor]: Taking taylor expansion of -1 in k 4.753 * [backup-simplify]: Simplify -1 into -1 4.753 * [taylor]: Taking taylor expansion of k in k 4.753 * [backup-simplify]: Simplify 0 into 0 4.753 * [backup-simplify]: Simplify 1 into 1 4.753 * [backup-simplify]: Simplify (/ -1 1) into -1 4.753 * [backup-simplify]: Simplify (sqrt 0) into 0 4.755 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.755 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.755 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.755 * [taylor]: Taking taylor expansion of 1.0 in k 4.756 * [backup-simplify]: Simplify 1.0 into 1.0 4.756 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.756 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.756 * [taylor]: Taking taylor expansion of -1 in k 4.756 * [backup-simplify]: Simplify -1 into -1 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 4.757 * [backup-simplify]: Simplify (sqrt 0) into 0 4.758 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.758 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.758 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.761 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.763 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.763 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.769 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.769 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.770 * [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))))) 4.770 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 4.770 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.770 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.770 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.770 * [taylor]: Taking taylor expansion of 2.0 in n 4.770 * [backup-simplify]: Simplify 2.0 into 2.0 4.770 * [taylor]: Taking taylor expansion of (* n PI) in n 4.770 * [taylor]: Taking taylor expansion of n in n 4.770 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify 1 into 1 4.770 * [taylor]: Taking taylor expansion of PI in n 4.770 * [backup-simplify]: Simplify PI into PI 4.770 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.770 * [taylor]: Taking taylor expansion of 2.0 in n 4.770 * [backup-simplify]: Simplify 2.0 into 2.0 4.771 * [taylor]: Taking taylor expansion of (* n PI) in n 4.771 * [taylor]: Taking taylor expansion of n in n 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 1 into 1 4.771 * [taylor]: Taking taylor expansion of PI in n 4.771 * [backup-simplify]: Simplify PI into PI 4.771 * [backup-simplify]: Simplify (* 0 PI) into 0 4.771 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.771 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.773 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.773 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.774 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.775 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.776 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.776 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.778 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.778 * [backup-simplify]: Simplify 0 into 0 4.778 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.779 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 4.779 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.781 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 4.781 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 4.783 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 4.783 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.788 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 4.788 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.788 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.788 * [taylor]: Taking taylor expansion of 2.0 in n 4.788 * [backup-simplify]: Simplify 2.0 into 2.0 4.788 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.788 * [taylor]: Taking taylor expansion of PI in n 4.788 * [backup-simplify]: Simplify PI into PI 4.788 * [taylor]: Taking taylor expansion of n in n 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify 1 into 1 4.788 * [backup-simplify]: Simplify (/ PI 1) into PI 4.788 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.788 * [taylor]: Taking taylor expansion of 2.0 in n 4.788 * [backup-simplify]: Simplify 2.0 into 2.0 4.789 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.789 * [taylor]: Taking taylor expansion of PI in n 4.789 * [backup-simplify]: Simplify PI into PI 4.789 * [taylor]: Taking taylor expansion of n in n 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 1 into 1 4.789 * [backup-simplify]: Simplify (/ PI 1) into PI 4.789 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.790 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.791 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.791 * [backup-simplify]: Simplify 0 into 0 4.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.792 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.792 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.794 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.794 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.797 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.797 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.800 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.800 * [backup-simplify]: Simplify 0 into 0 4.801 * [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 4.803 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.803 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 4.804 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 4.804 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.804 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.804 * [taylor]: Taking taylor expansion of -2.0 in n 4.804 * [backup-simplify]: Simplify -2.0 into -2.0 4.804 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.804 * [taylor]: Taking taylor expansion of PI in n 4.804 * [backup-simplify]: Simplify PI into PI 4.804 * [taylor]: Taking taylor expansion of n in n 4.805 * [backup-simplify]: Simplify 0 into 0 4.805 * [backup-simplify]: Simplify 1 into 1 4.805 * [backup-simplify]: Simplify (/ PI 1) into PI 4.805 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.805 * [taylor]: Taking taylor expansion of -2.0 in n 4.805 * [backup-simplify]: Simplify -2.0 into -2.0 4.805 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.805 * [taylor]: Taking taylor expansion of PI in n 4.805 * [backup-simplify]: Simplify PI into PI 4.805 * [taylor]: Taking taylor expansion of n in n 4.805 * [backup-simplify]: Simplify 0 into 0 4.805 * [backup-simplify]: Simplify 1 into 1 4.806 * [backup-simplify]: Simplify (/ PI 1) into PI 4.806 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.807 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.809 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.809 * [backup-simplify]: Simplify 0 into 0 4.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.811 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.811 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.812 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.812 * [backup-simplify]: Simplify 0 into 0 4.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.814 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.815 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.815 * [backup-simplify]: Simplify 0 into 0 4.816 * [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 4.817 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 4.817 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.818 * [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))))) 4.818 * [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 4.818 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.818 * [taylor]: Taking taylor expansion of 1.0 in n 4.818 * [backup-simplify]: Simplify 1.0 into 1.0 4.818 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.818 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.818 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.818 * [taylor]: Taking taylor expansion of k in n 4.818 * [backup-simplify]: Simplify k into k 4.818 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.818 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.818 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.818 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.818 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.818 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.819 * [taylor]: Taking taylor expansion of 0.5 in n 4.819 * [backup-simplify]: Simplify 0.5 into 0.5 4.819 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.819 * [taylor]: Taking taylor expansion of 1.0 in n 4.819 * [backup-simplify]: Simplify 1.0 into 1.0 4.819 * [taylor]: Taking taylor expansion of k in n 4.819 * [backup-simplify]: Simplify k into k 4.819 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.819 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.819 * [taylor]: Taking taylor expansion of 2.0 in n 4.819 * [backup-simplify]: Simplify 2.0 into 2.0 4.819 * [taylor]: Taking taylor expansion of (* n PI) in n 4.819 * [taylor]: Taking taylor expansion of n in n 4.819 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify 1 into 1 4.819 * [taylor]: Taking taylor expansion of PI in n 4.819 * [backup-simplify]: Simplify PI into PI 4.819 * [backup-simplify]: Simplify (* 0 PI) into 0 4.819 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.820 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.821 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.822 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.822 * [backup-simplify]: Simplify (- k) into (- k) 4.822 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.822 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.823 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.824 * [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)))) 4.824 * [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))))) 4.824 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.824 * [taylor]: Taking taylor expansion of 1.0 in k 4.824 * [backup-simplify]: Simplify 1.0 into 1.0 4.824 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.824 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.824 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.824 * [taylor]: Taking taylor expansion of k in k 4.824 * [backup-simplify]: Simplify 0 into 0 4.825 * [backup-simplify]: Simplify 1 into 1 4.825 * [backup-simplify]: Simplify (/ 1 1) into 1 4.825 * [backup-simplify]: Simplify (sqrt 0) into 0 4.826 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.826 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.826 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.826 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.826 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.826 * [taylor]: Taking taylor expansion of 0.5 in k 4.826 * [backup-simplify]: Simplify 0.5 into 0.5 4.826 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.826 * [taylor]: Taking taylor expansion of 1.0 in k 4.826 * [backup-simplify]: Simplify 1.0 into 1.0 4.826 * [taylor]: Taking taylor expansion of k in k 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 1 into 1 4.826 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.826 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.826 * [taylor]: Taking taylor expansion of 2.0 in k 4.826 * [backup-simplify]: Simplify 2.0 into 2.0 4.826 * [taylor]: Taking taylor expansion of (* n PI) in k 4.826 * [taylor]: Taking taylor expansion of n in k 4.826 * [backup-simplify]: Simplify n into n 4.826 * [taylor]: Taking taylor expansion of PI in k 4.826 * [backup-simplify]: Simplify PI into PI 4.826 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.826 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.826 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.827 * [backup-simplify]: Simplify (- 0) into 0 4.827 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.827 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.827 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.827 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.827 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.827 * [taylor]: Taking taylor expansion of 1.0 in k 4.827 * [backup-simplify]: Simplify 1.0 into 1.0 4.827 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.827 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.827 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.827 * [taylor]: Taking taylor expansion of k in k 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify 1 into 1 4.828 * [backup-simplify]: Simplify (/ 1 1) into 1 4.828 * [backup-simplify]: Simplify (sqrt 0) into 0 4.829 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.829 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.829 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.829 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.829 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.829 * [taylor]: Taking taylor expansion of 0.5 in k 4.829 * [backup-simplify]: Simplify 0.5 into 0.5 4.829 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.829 * [taylor]: Taking taylor expansion of 1.0 in k 4.829 * [backup-simplify]: Simplify 1.0 into 1.0 4.829 * [taylor]: Taking taylor expansion of k in k 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.829 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.829 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.829 * [taylor]: Taking taylor expansion of 2.0 in k 4.829 * [backup-simplify]: Simplify 2.0 into 2.0 4.829 * [taylor]: Taking taylor expansion of (* n PI) in k 4.829 * [taylor]: Taking taylor expansion of n in k 4.829 * [backup-simplify]: Simplify n into n 4.829 * [taylor]: Taking taylor expansion of PI in k 4.829 * [backup-simplify]: Simplify PI into PI 4.829 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.829 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.829 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.830 * [backup-simplify]: Simplify (- 0) into 0 4.830 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.830 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.830 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.830 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.830 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 4.831 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.831 * [taylor]: Taking taylor expansion of 0 in n 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 4.832 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 4.832 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 4.833 * [backup-simplify]: Simplify (- 1) into -1 4.833 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.834 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.834 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 4.835 * [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))) 4.836 * [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))) 4.837 * [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))) 4.837 * [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 4.837 * [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 4.837 * [taylor]: Taking taylor expansion of +nan.0 in n 4.837 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.837 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.837 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.837 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.837 * [taylor]: Taking taylor expansion of 0.5 in n 4.837 * [backup-simplify]: Simplify 0.5 into 0.5 4.837 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.837 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.837 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.837 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.837 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.837 * [taylor]: Taking taylor expansion of 1.0 in n 4.837 * [backup-simplify]: Simplify 1.0 into 1.0 4.837 * [taylor]: Taking taylor expansion of (log PI) in n 4.837 * [taylor]: Taking taylor expansion of PI in n 4.837 * [backup-simplify]: Simplify PI into PI 4.837 * [backup-simplify]: Simplify (log PI) into (log PI) 4.838 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.839 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.839 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.839 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.839 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.839 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.839 * [taylor]: Taking taylor expansion of 1.0 in n 4.839 * [backup-simplify]: Simplify 1.0 into 1.0 4.839 * [taylor]: Taking taylor expansion of (log n) in n 4.839 * [taylor]: Taking taylor expansion of n in n 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 1 into 1 4.840 * [backup-simplify]: Simplify (log 1) into 0 4.840 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.840 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.840 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.840 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.840 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.840 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.840 * [taylor]: Taking taylor expansion of 1.0 in n 4.840 * [backup-simplify]: Simplify 1.0 into 1.0 4.840 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.840 * [taylor]: Taking taylor expansion of 2.0 in n 4.840 * [backup-simplify]: Simplify 2.0 into 2.0 4.841 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.842 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.843 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.844 * [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) 4.845 * [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) 4.847 * [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)) 4.848 * [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))) 4.850 * [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) 4.852 * [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)) 4.853 * [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))) 4.855 * [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))) 4.855 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 4.856 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 4.858 * [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 4.859 * [backup-simplify]: Simplify (- 0) into 0 4.859 * [backup-simplify]: Simplify (+ 0 0) into 0 4.861 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.862 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 4.863 * [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))) 4.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.867 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.871 * [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)))))))) 4.876 * [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)))))))) 4.876 * [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 4.876 * [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 4.876 * [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 4.876 * [taylor]: Taking taylor expansion of +nan.0 in n 4.876 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.877 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.877 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.877 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.877 * [taylor]: Taking taylor expansion of 0.5 in n 4.877 * [backup-simplify]: Simplify 0.5 into 0.5 4.877 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.877 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.877 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.877 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.877 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.877 * [taylor]: Taking taylor expansion of 1.0 in n 4.877 * [backup-simplify]: Simplify 1.0 into 1.0 4.877 * [taylor]: Taking taylor expansion of (log PI) in n 4.877 * [taylor]: Taking taylor expansion of PI in n 4.877 * [backup-simplify]: Simplify PI into PI 4.877 * [backup-simplify]: Simplify (log PI) into (log PI) 4.879 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.880 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.880 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.880 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.880 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.880 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.880 * [taylor]: Taking taylor expansion of 1.0 in n 4.881 * [backup-simplify]: Simplify 1.0 into 1.0 4.881 * [taylor]: Taking taylor expansion of (log n) in n 4.881 * [taylor]: Taking taylor expansion of n in n 4.881 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify 1 into 1 4.881 * [backup-simplify]: Simplify (log 1) into 0 4.881 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.882 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.882 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.882 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.882 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.882 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.882 * [taylor]: Taking taylor expansion of 1.0 in n 4.882 * [backup-simplify]: Simplify 1.0 into 1.0 4.882 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.882 * [taylor]: Taking taylor expansion of 2.0 in n 4.882 * [backup-simplify]: Simplify 2.0 into 2.0 4.882 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.883 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.885 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.886 * [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) 4.887 * [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) 4.888 * [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)) 4.890 * [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))) 4.891 * [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) 4.891 * [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 4.891 * [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 4.891 * [taylor]: Taking taylor expansion of +nan.0 in n 4.891 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.891 * [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 4.891 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.891 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.891 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.891 * [taylor]: Taking taylor expansion of 0.5 in n 4.892 * [backup-simplify]: Simplify 0.5 into 0.5 4.892 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.892 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.892 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.892 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.892 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.892 * [taylor]: Taking taylor expansion of 1.0 in n 4.892 * [backup-simplify]: Simplify 1.0 into 1.0 4.892 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.892 * [taylor]: Taking taylor expansion of 2.0 in n 4.892 * [backup-simplify]: Simplify 2.0 into 2.0 4.892 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.893 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.895 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.895 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.895 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.895 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.895 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.895 * [taylor]: Taking taylor expansion of 1.0 in n 4.895 * [backup-simplify]: Simplify 1.0 into 1.0 4.895 * [taylor]: Taking taylor expansion of (log PI) in n 4.895 * [taylor]: Taking taylor expansion of PI in n 4.895 * [backup-simplify]: Simplify PI into PI 4.896 * [backup-simplify]: Simplify (log PI) into (log PI) 4.896 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.898 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.898 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.899 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.899 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.899 * [taylor]: Taking taylor expansion of 1.0 in n 4.899 * [backup-simplify]: Simplify 1.0 into 1.0 4.899 * [taylor]: Taking taylor expansion of (log n) in n 4.899 * [taylor]: Taking taylor expansion of n in n 4.899 * [backup-simplify]: Simplify 0 into 0 4.899 * [backup-simplify]: Simplify 1 into 1 4.899 * [backup-simplify]: Simplify (log 1) into 0 4.900 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.900 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.900 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.901 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.902 * [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) 4.903 * [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)) 4.905 * [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))) 4.906 * [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) 4.906 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.906 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.906 * [taylor]: Taking taylor expansion of 2.0 in n 4.907 * [backup-simplify]: Simplify 2.0 into 2.0 4.907 * [taylor]: Taking taylor expansion of (* n PI) 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 4.907 * [taylor]: Taking taylor expansion of PI in n 4.907 * [backup-simplify]: Simplify PI into PI 4.907 * [backup-simplify]: Simplify (* 0 PI) into 0 4.908 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.909 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.911 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.912 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.914 * [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)) 4.915 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.917 * [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)) 4.919 * [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))) 4.920 * [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)))))) 4.928 * [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)))))))) 4.932 * [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)))))))) 4.935 * [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)))))))) 4.936 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.937 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 4.938 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.938 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.939 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.939 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.940 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.940 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 4.941 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.942 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 4.942 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.943 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 4.946 * [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 4.948 * [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 4.950 * [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)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.952 * [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 4.952 * [backup-simplify]: Simplify (- 0) into 0 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify 0 into 0 4.953 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.954 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 4.958 * [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 4.958 * [backup-simplify]: Simplify (- 0) into 0 4.958 * [backup-simplify]: Simplify (+ 0 0) into 0 4.960 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.961 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 4.962 * [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))) 4.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.965 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.968 * [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)))))))) 4.975 * [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)))))))) 4.975 * [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 4.975 * [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 4.975 * [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 4.975 * [taylor]: Taking taylor expansion of +nan.0 in n 4.975 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.975 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.975 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.975 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.975 * [taylor]: Taking taylor expansion of 0.5 in n 4.975 * [backup-simplify]: Simplify 0.5 into 0.5 4.975 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.975 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.975 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.975 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.975 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.975 * [taylor]: Taking taylor expansion of 1.0 in n 4.975 * [backup-simplify]: Simplify 1.0 into 1.0 4.975 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.975 * [taylor]: Taking taylor expansion of 2.0 in n 4.975 * [backup-simplify]: Simplify 2.0 into 2.0 4.975 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.976 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.977 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.977 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.977 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.977 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.977 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.977 * [taylor]: Taking taylor expansion of 1.0 in n 4.977 * [backup-simplify]: Simplify 1.0 into 1.0 4.977 * [taylor]: Taking taylor expansion of (log n) in n 4.977 * [taylor]: Taking taylor expansion of n in n 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify 1 into 1 4.977 * [backup-simplify]: Simplify (log 1) into 0 4.978 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.978 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.978 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.978 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.978 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.978 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.978 * [taylor]: Taking taylor expansion of 1.0 in n 4.978 * [backup-simplify]: Simplify 1.0 into 1.0 4.978 * [taylor]: Taking taylor expansion of (log PI) in n 4.978 * [taylor]: Taking taylor expansion of PI in n 4.978 * [backup-simplify]: Simplify PI into PI 4.978 * [backup-simplify]: Simplify (log PI) into (log PI) 4.979 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.980 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.980 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.981 * [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) 4.982 * [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)) 4.983 * [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))) 4.984 * [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) 4.984 * [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 4.984 * [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 4.984 * [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 4.984 * [taylor]: Taking taylor expansion of +nan.0 in n 4.984 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.984 * [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 4.984 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.984 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.984 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.984 * [taylor]: Taking taylor expansion of 0.5 in n 4.984 * [backup-simplify]: Simplify 0.5 into 0.5 4.984 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.984 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.984 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.984 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.984 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.984 * [taylor]: Taking taylor expansion of 1.0 in n 4.984 * [backup-simplify]: Simplify 1.0 into 1.0 4.984 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.984 * [taylor]: Taking taylor expansion of 2.0 in n 4.984 * [backup-simplify]: Simplify 2.0 into 2.0 4.984 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.985 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.986 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.986 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.986 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.986 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.986 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.986 * [taylor]: Taking taylor expansion of 1.0 in n 4.986 * [backup-simplify]: Simplify 1.0 into 1.0 4.986 * [taylor]: Taking taylor expansion of (log PI) in n 4.986 * [taylor]: Taking taylor expansion of PI in n 4.986 * [backup-simplify]: Simplify PI into PI 4.986 * [backup-simplify]: Simplify (log PI) into (log PI) 4.987 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.988 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.988 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.988 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.988 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.988 * [taylor]: Taking taylor expansion of 1.0 in n 4.988 * [backup-simplify]: Simplify 1.0 into 1.0 4.988 * [taylor]: Taking taylor expansion of (log n) in n 4.988 * [taylor]: Taking taylor expansion of n in n 4.988 * [backup-simplify]: Simplify 0 into 0 4.988 * [backup-simplify]: Simplify 1 into 1 4.989 * [backup-simplify]: Simplify (log 1) into 0 4.989 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.989 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.989 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.990 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.992 * [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) 4.993 * [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)) 4.994 * [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))) 4.996 * [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) 4.996 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.996 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.996 * [taylor]: Taking taylor expansion of 2.0 in n 4.996 * [backup-simplify]: Simplify 2.0 into 2.0 4.996 * [taylor]: Taking taylor expansion of (* n PI) in n 4.996 * [taylor]: Taking taylor expansion of n in n 4.996 * [backup-simplify]: Simplify 0 into 0 4.996 * [backup-simplify]: Simplify 1 into 1 4.996 * [taylor]: Taking taylor expansion of PI in n 4.996 * [backup-simplify]: Simplify PI into PI 4.997 * [backup-simplify]: Simplify (* 0 PI) into 0 4.997 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.999 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.001 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.002 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.002 * [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 5.002 * [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 5.002 * [taylor]: Taking taylor expansion of +nan.0 in n 5.002 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.002 * [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 5.002 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.002 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.002 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.002 * [taylor]: Taking taylor expansion of 0.5 in n 5.002 * [backup-simplify]: Simplify 0.5 into 0.5 5.002 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.002 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.002 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.002 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.002 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.002 * [taylor]: Taking taylor expansion of 1.0 in n 5.002 * [backup-simplify]: Simplify 1.0 into 1.0 5.003 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.003 * [taylor]: Taking taylor expansion of 2.0 in n 5.003 * [backup-simplify]: Simplify 2.0 into 2.0 5.003 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.004 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.005 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.005 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.005 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.005 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.005 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) 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 PI) in n 5.005 * [taylor]: Taking taylor expansion of PI in n 5.005 * [backup-simplify]: Simplify PI into PI 5.005 * [backup-simplify]: Simplify (log PI) into (log PI) 5.006 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.007 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.007 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.007 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.007 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.007 * [taylor]: Taking taylor expansion of 1.0 in n 5.007 * [backup-simplify]: Simplify 1.0 into 1.0 5.007 * [taylor]: Taking taylor expansion of (log n) in n 5.007 * [taylor]: Taking taylor expansion of n in n 5.007 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify 1 into 1 5.007 * [backup-simplify]: Simplify (log 1) into 0 5.007 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.008 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.008 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.008 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.009 * [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) 5.010 * [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)) 5.010 * [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))) 5.011 * [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) 5.011 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 5.011 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.011 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.011 * [taylor]: Taking taylor expansion of 2.0 in n 5.012 * [backup-simplify]: Simplify 2.0 into 2.0 5.012 * [taylor]: Taking taylor expansion of (* n PI) 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 5.012 * [taylor]: Taking taylor expansion of PI in n 5.012 * [backup-simplify]: Simplify PI into PI 5.012 * [backup-simplify]: Simplify (* 0 PI) into 0 5.012 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.013 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.014 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.015 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.016 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.017 * [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)) 5.017 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.019 * [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)) 5.021 * [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))) 5.022 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.023 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.024 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 5.026 * [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)) 5.027 * [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))) 5.029 * [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)))))))) 5.045 * [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)))))))))))) 5.058 * [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)))))))))))) 5.068 * [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)))))))))))))) 5.078 * [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)))))))))))))) 5.087 * [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)))))))))))))) 5.102 * [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)))))))))))))))))))))) 5.103 * [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)))))) 5.103 * [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 5.103 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 5.103 * [taylor]: Taking taylor expansion of 1.0 in n 5.103 * [backup-simplify]: Simplify 1.0 into 1.0 5.103 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 5.103 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.103 * [taylor]: Taking taylor expansion of k in n 5.103 * [backup-simplify]: Simplify k into k 5.103 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 5.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 5.103 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.103 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.103 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.103 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.104 * [taylor]: Taking taylor expansion of 0.5 in n 5.104 * [backup-simplify]: Simplify 0.5 into 0.5 5.104 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.104 * [taylor]: Taking taylor expansion of 1.0 in n 5.104 * [backup-simplify]: Simplify 1.0 into 1.0 5.104 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.104 * [taylor]: Taking taylor expansion of k in n 5.104 * [backup-simplify]: Simplify k into k 5.104 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.104 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.104 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.104 * [taylor]: Taking taylor expansion of 2.0 in n 5.104 * [backup-simplify]: Simplify 2.0 into 2.0 5.104 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.104 * [taylor]: Taking taylor expansion of PI in n 5.104 * [backup-simplify]: Simplify PI into PI 5.104 * [taylor]: Taking taylor expansion of n in n 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 1 into 1 5.104 * [backup-simplify]: Simplify (/ PI 1) into PI 5.104 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.105 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.105 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.105 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.105 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.106 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.107 * [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)))) 5.108 * [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))))) 5.108 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.108 * [taylor]: Taking taylor expansion of 1.0 in k 5.108 * [backup-simplify]: Simplify 1.0 into 1.0 5.108 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.108 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.108 * [taylor]: Taking taylor expansion of k in k 5.108 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify 1 into 1 5.108 * [backup-simplify]: Simplify (sqrt 0) into 0 5.109 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.109 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.109 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.109 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.109 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.109 * [taylor]: Taking taylor expansion of 0.5 in k 5.109 * [backup-simplify]: Simplify 0.5 into 0.5 5.109 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.109 * [taylor]: Taking taylor expansion of 1.0 in k 5.109 * [backup-simplify]: Simplify 1.0 into 1.0 5.109 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.109 * [taylor]: Taking taylor expansion of k in k 5.109 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify 1 into 1 5.110 * [backup-simplify]: Simplify (/ 1 1) into 1 5.110 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.110 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.110 * [taylor]: Taking taylor expansion of 2.0 in k 5.110 * [backup-simplify]: Simplify 2.0 into 2.0 5.110 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.110 * [taylor]: Taking taylor expansion of PI in k 5.110 * [backup-simplify]: Simplify PI into PI 5.110 * [taylor]: Taking taylor expansion of n in k 5.110 * [backup-simplify]: Simplify n into n 5.110 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.110 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 5.110 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 5.110 * [backup-simplify]: Simplify (- 1) into -1 5.110 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.111 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.111 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 5.111 * [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))))) 5.111 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.111 * [taylor]: Taking taylor expansion of 1.0 in k 5.111 * [backup-simplify]: Simplify 1.0 into 1.0 5.111 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.111 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.111 * [taylor]: Taking taylor expansion of k in k 5.111 * [backup-simplify]: Simplify 0 into 0 5.111 * [backup-simplify]: Simplify 1 into 1 5.111 * [backup-simplify]: Simplify (sqrt 0) into 0 5.112 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.112 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.112 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.112 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.112 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.113 * [taylor]: Taking taylor expansion of 0.5 in k 5.113 * [backup-simplify]: Simplify 0.5 into 0.5 5.113 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.113 * [taylor]: Taking taylor expansion of 1.0 in k 5.113 * [backup-simplify]: Simplify 1.0 into 1.0 5.113 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.113 * [taylor]: Taking taylor expansion of k in k 5.113 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify 1 into 1 5.113 * [backup-simplify]: Simplify (/ 1 1) into 1 5.113 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.113 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.113 * [taylor]: Taking taylor expansion of 2.0 in k 5.113 * [backup-simplify]: Simplify 2.0 into 2.0 5.113 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.113 * [taylor]: Taking taylor expansion of PI in k 5.113 * [backup-simplify]: Simplify PI into PI 5.113 * [taylor]: Taking taylor expansion of n in k 5.113 * [backup-simplify]: Simplify n into n 5.113 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.113 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 5.113 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 5.114 * [backup-simplify]: Simplify (- 1) into -1 5.114 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.114 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.114 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 5.114 * [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))))) 5.115 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 5.115 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.115 * [taylor]: Taking taylor expansion of 0 in n 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [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))))))) 5.116 * [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))))))) 5.116 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.116 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.116 * [taylor]: Taking taylor expansion of +nan.0 in n 5.116 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.116 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.116 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.116 * [taylor]: Taking taylor expansion of 0.5 in n 5.116 * [backup-simplify]: Simplify 0.5 into 0.5 5.116 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.116 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.116 * [taylor]: Taking taylor expansion of 2.0 in n 5.116 * [backup-simplify]: Simplify 2.0 into 2.0 5.116 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.116 * [taylor]: Taking taylor expansion of PI in n 5.116 * [backup-simplify]: Simplify PI into PI 5.116 * [taylor]: Taking taylor expansion of n in n 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 1 into 1 5.117 * [backup-simplify]: Simplify (/ PI 1) 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 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.118 * [taylor]: Taking taylor expansion of 1.0 in n 5.118 * [backup-simplify]: Simplify 1.0 into 1.0 5.118 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.118 * [taylor]: Taking taylor expansion of k in n 5.118 * [backup-simplify]: Simplify k into k 5.118 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.119 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.119 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.119 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.120 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 5.120 * [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)))) 5.121 * [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))))) 5.122 * [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)))))) 5.123 * [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))))))) 5.124 * [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))))))) 5.124 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.127 * [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))))))) 5.127 * [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))))))) 5.127 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.127 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.127 * [taylor]: Taking taylor expansion of +nan.0 in n 5.127 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.127 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.127 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.127 * [taylor]: Taking taylor expansion of 0.5 in n 5.127 * [backup-simplify]: Simplify 0.5 into 0.5 5.127 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.127 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.127 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.127 * [taylor]: Taking taylor expansion of 2.0 in n 5.127 * [backup-simplify]: Simplify 2.0 into 2.0 5.127 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.127 * [taylor]: Taking taylor expansion of PI in n 5.128 * [backup-simplify]: Simplify PI into PI 5.128 * [taylor]: Taking taylor expansion of n in n 5.128 * [backup-simplify]: Simplify 0 into 0 5.128 * [backup-simplify]: Simplify 1 into 1 5.128 * [backup-simplify]: Simplify (/ PI 1) into PI 5.128 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.129 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.129 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.129 * [taylor]: Taking taylor expansion of 1.0 in n 5.129 * [backup-simplify]: Simplify 1.0 into 1.0 5.129 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.129 * [taylor]: Taking taylor expansion of k in n 5.129 * [backup-simplify]: Simplify k into k 5.129 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.130 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.130 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.130 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.131 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 5.132 * [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)))) 5.132 * [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))))) 5.133 * [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)))))) 5.134 * [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))))))) 5.135 * [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))))))) 5.136 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.136 * [backup-simplify]: Simplify (- 0) into 0 5.140 * [backup-simplify]: Simplify (+ 0 0) into 0 5.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.142 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.143 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 5.144 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 5.146 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.147 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 5.147 * [backup-simplify]: Simplify (- 0) into 0 5.147 * [backup-simplify]: Simplify 0 into 0 5.147 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.150 * [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))))))) 5.151 * [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))))))) 5.151 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.151 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.151 * [taylor]: Taking taylor expansion of +nan.0 in n 5.151 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.151 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.151 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.151 * [taylor]: Taking taylor expansion of 0.5 in n 5.151 * [backup-simplify]: Simplify 0.5 into 0.5 5.151 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.151 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.151 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.151 * [taylor]: Taking taylor expansion of 2.0 in n 5.151 * [backup-simplify]: Simplify 2.0 into 2.0 5.151 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.151 * [taylor]: Taking taylor expansion of PI in n 5.152 * [backup-simplify]: Simplify PI into PI 5.152 * [taylor]: Taking taylor expansion of n in n 5.152 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify 1 into 1 5.152 * [backup-simplify]: Simplify (/ PI 1) into PI 5.152 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.153 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.153 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.153 * [taylor]: Taking taylor expansion of 1.0 in n 5.153 * [backup-simplify]: Simplify 1.0 into 1.0 5.153 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.153 * [taylor]: Taking taylor expansion of k in n 5.153 * [backup-simplify]: Simplify k into k 5.153 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.154 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.154 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.154 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.155 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 5.156 * [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)))) 5.157 * [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))))) 5.158 * [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)))))) 5.160 * [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))))))) 5.161 * [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))))))) 5.166 * [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)))))))) 5.167 * [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)))) 5.167 * [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 5.167 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 5.167 * [taylor]: Taking taylor expansion of 1.0 in n 5.167 * [backup-simplify]: Simplify 1.0 into 1.0 5.167 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 5.167 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.167 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.167 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.167 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.167 * [taylor]: Taking taylor expansion of 0.5 in n 5.167 * [backup-simplify]: Simplify 0.5 into 0.5 5.167 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.167 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.167 * [taylor]: Taking taylor expansion of k in n 5.167 * [backup-simplify]: Simplify k into k 5.167 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.167 * [taylor]: Taking taylor expansion of 1.0 in n 5.167 * [backup-simplify]: Simplify 1.0 into 1.0 5.167 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.167 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.167 * [taylor]: Taking taylor expansion of -2.0 in n 5.168 * [backup-simplify]: Simplify -2.0 into -2.0 5.168 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.168 * [taylor]: Taking taylor expansion of PI in n 5.168 * [backup-simplify]: Simplify PI into PI 5.168 * [taylor]: Taking taylor expansion of n in n 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 1 into 1 5.168 * [backup-simplify]: Simplify (/ PI 1) into PI 5.169 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.170 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.170 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.170 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.171 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.172 * [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)))) 5.173 * [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))))) 5.173 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.173 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.173 * [taylor]: Taking taylor expansion of -1 in n 5.173 * [backup-simplify]: Simplify -1 into -1 5.173 * [taylor]: Taking taylor expansion of k in n 5.173 * [backup-simplify]: Simplify k into k 5.173 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 5.173 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 5.173 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 5.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 5.174 * [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))) 5.174 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.174 * [taylor]: Taking taylor expansion of 1.0 in k 5.174 * [backup-simplify]: Simplify 1.0 into 1.0 5.174 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.174 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.174 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.174 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.174 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.174 * [taylor]: Taking taylor expansion of 0.5 in k 5.174 * [backup-simplify]: Simplify 0.5 into 0.5 5.174 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.174 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.174 * [taylor]: Taking taylor expansion of k in k 5.174 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify 1 into 1 5.175 * [backup-simplify]: Simplify (/ 1 1) into 1 5.175 * [taylor]: Taking taylor expansion of 1.0 in k 5.175 * [backup-simplify]: Simplify 1.0 into 1.0 5.175 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.175 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.175 * [taylor]: Taking taylor expansion of -2.0 in k 5.175 * [backup-simplify]: Simplify -2.0 into -2.0 5.175 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.175 * [taylor]: Taking taylor expansion of PI in k 5.175 * [backup-simplify]: Simplify PI into PI 5.175 * [taylor]: Taking taylor expansion of n in k 5.175 * [backup-simplify]: Simplify n into n 5.175 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.175 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 5.175 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 5.175 * [backup-simplify]: Simplify (+ 1 0) into 1 5.176 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.176 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 5.176 * [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)))))) 5.176 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.176 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.176 * [taylor]: Taking taylor expansion of -1 in k 5.176 * [backup-simplify]: Simplify -1 into -1 5.176 * [taylor]: Taking taylor expansion of k in k 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify 1 into 1 5.176 * [backup-simplify]: Simplify (/ -1 1) into -1 5.176 * [backup-simplify]: Simplify (sqrt 0) into 0 5.177 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.177 * [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))))))) 5.177 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.177 * [taylor]: Taking taylor expansion of 1.0 in k 5.177 * [backup-simplify]: Simplify 1.0 into 1.0 5.177 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.177 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.178 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.178 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.178 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.178 * [taylor]: Taking taylor expansion of 0.5 in k 5.178 * [backup-simplify]: Simplify 0.5 into 0.5 5.178 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.178 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.178 * [taylor]: Taking taylor expansion of k in k 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify 1 into 1 5.178 * [backup-simplify]: Simplify (/ 1 1) into 1 5.178 * [taylor]: Taking taylor expansion of 1.0 in k 5.178 * [backup-simplify]: Simplify 1.0 into 1.0 5.178 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.178 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.178 * [taylor]: Taking taylor expansion of -2.0 in k 5.178 * [backup-simplify]: Simplify -2.0 into -2.0 5.178 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.178 * [taylor]: Taking taylor expansion of PI in k 5.178 * [backup-simplify]: Simplify PI into PI 5.178 * [taylor]: Taking taylor expansion of n in k 5.178 * [backup-simplify]: Simplify n into n 5.178 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.178 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 5.178 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 5.179 * [backup-simplify]: Simplify (+ 1 0) into 1 5.179 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.179 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 5.179 * [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)))))) 5.179 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.179 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.179 * [taylor]: Taking taylor expansion of -1 in k 5.179 * [backup-simplify]: Simplify -1 into -1 5.179 * [taylor]: Taking taylor expansion of k in k 5.179 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify 1 into 1 5.180 * [backup-simplify]: Simplify (/ -1 1) into -1 5.180 * [backup-simplify]: Simplify (sqrt 0) into 0 5.181 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.181 * [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))))))) 5.181 * [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))))))) 5.181 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.181 * [taylor]: Taking taylor expansion of +nan.0 in n 5.181 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.181 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.181 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.181 * [taylor]: Taking taylor expansion of 0.5 in n 5.181 * [backup-simplify]: Simplify 0.5 into 0.5 5.181 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.181 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.181 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.181 * [taylor]: Taking taylor expansion of k in n 5.181 * [backup-simplify]: Simplify k into k 5.181 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.181 * [taylor]: Taking taylor expansion of 1.0 in n 5.181 * [backup-simplify]: Simplify 1.0 into 1.0 5.181 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.181 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.181 * [taylor]: Taking taylor expansion of -2.0 in n 5.181 * [backup-simplify]: Simplify -2.0 into -2.0 5.181 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.181 * [taylor]: Taking taylor expansion of PI in n 5.181 * [backup-simplify]: Simplify PI into PI 5.181 * [taylor]: Taking taylor expansion of n in n 5.181 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify 1 into 1 5.182 * [backup-simplify]: Simplify (/ PI 1) into PI 5.183 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.183 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.183 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.184 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.185 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.186 * [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)))) 5.186 * [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))))) 5.187 * [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)))))) 5.188 * [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)))))) 5.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.190 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.191 * [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)))))))) 5.192 * [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)))))))) 5.192 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 5.192 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.192 * [taylor]: Taking taylor expansion of +nan.0 in n 5.192 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.192 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.192 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.192 * [taylor]: Taking taylor expansion of 0.5 in n 5.192 * [backup-simplify]: Simplify 0.5 into 0.5 5.192 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.192 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.192 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.192 * [taylor]: Taking taylor expansion of k in n 5.192 * [backup-simplify]: Simplify k into k 5.192 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.192 * [taylor]: Taking taylor expansion of 1.0 in n 5.192 * [backup-simplify]: Simplify 1.0 into 1.0 5.192 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.192 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.192 * [taylor]: Taking taylor expansion of -2.0 in n 5.192 * [backup-simplify]: Simplify -2.0 into -2.0 5.192 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.192 * [taylor]: Taking taylor expansion of PI in n 5.192 * [backup-simplify]: Simplify PI into PI 5.192 * [taylor]: Taking taylor expansion of n in n 5.192 * [backup-simplify]: Simplify 0 into 0 5.192 * [backup-simplify]: Simplify 1 into 1 5.192 * [backup-simplify]: Simplify (/ PI 1) into PI 5.193 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.193 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.194 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.194 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.195 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.196 * [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)))) 5.197 * [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))))) 5.197 * [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)))))) 5.198 * [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))))))) 5.199 * [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))))))) 5.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.200 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 5.202 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 5.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.203 * [backup-simplify]: Simplify (+ 0 0) into 0 5.204 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.206 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 5.208 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 5.210 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.212 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 5.212 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.219 * [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)))))))) 5.220 * [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)))))))) 5.220 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 5.220 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.220 * [taylor]: Taking taylor expansion of +nan.0 in n 5.220 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.220 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.220 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.220 * [taylor]: Taking taylor expansion of 0.5 in n 5.220 * [backup-simplify]: Simplify 0.5 into 0.5 5.220 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.220 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.220 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.220 * [taylor]: Taking taylor expansion of k in n 5.220 * [backup-simplify]: Simplify k into k 5.220 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.220 * [taylor]: Taking taylor expansion of 1.0 in n 5.220 * [backup-simplify]: Simplify 1.0 into 1.0 5.220 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.220 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.221 * [taylor]: Taking taylor expansion of -2.0 in n 5.221 * [backup-simplify]: Simplify -2.0 into -2.0 5.221 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.221 * [taylor]: Taking taylor expansion of PI in n 5.221 * [backup-simplify]: Simplify PI into PI 5.221 * [taylor]: Taking taylor expansion of n in n 5.221 * [backup-simplify]: Simplify 0 into 0 5.221 * [backup-simplify]: Simplify 1 into 1 5.221 * [backup-simplify]: Simplify (/ PI 1) into PI 5.222 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.223 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.223 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.225 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.226 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.228 * [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)))) 5.229 * [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))))) 5.231 * [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)))))) 5.232 * [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))))))) 5.233 * [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))))))) 5.238 * [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)))))))))))) 5.239 * * * [progress]: simplifying candidates 5.244 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 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) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (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)))))))))))) 5.249 * * [simplify]: Extracting # 0 : cost 0 5.250 * * [simplify]: Extracting # 1 : cost 0 5.250 * * [simplify]: Extracting # 2 : cost 0 5.250 * * [simplify]: Extracting # 3 : cost 0 5.251 * * [simplify]: Extracting # 4 : cost 0 5.251 * * [simplify]: Extracting # 5 : cost 0 5.252 * * [simplify]: Extracting # 6 : cost 0 5.252 * * [simplify]: Extracting # 7 : cost 0 5.253 * * [simplify]: Extracting # 8 : cost 0 5.253 * * [simplify]: Extracting # 9 : cost 0 5.254 * * [simplify]: Extracting # 10 : cost 0 5.254 * * [simplify]: Extracting # 11 : cost 0 5.255 * * [simplify]: Extracting # 12 : cost 0 5.255 * * [simplify]: Extracting # 13 : cost 0 5.261 * * [simplify]: Extracting # 14 : cost 0 5.262 * * [simplify]: Extracting # 15 : cost 0 5.264 * * [simplify]: Extracting # 16 : cost 0 5.265 * * [simplify]: Extracting # 17 : cost 0 5.266 * * [simplify]: Extracting # 18 : cost 0 5.267 * * [simplify]: Extracting # 19 : cost 0 5.268 * * [simplify]: Extracting # 20 : cost 0 5.269 * * [simplify]: Extracting # 21 : cost 0 5.270 * * [simplify]: Extracting # 22 : cost 0 5.271 * * [simplify]: Extracting # 23 : cost 0 5.272 * * [simplify]: Extracting # 24 : cost 0 5.273 * * [simplify]: Extracting # 25 : cost 0 5.274 * * [simplify]: Extracting # 26 : cost 0 5.275 * * [simplify]: Extracting # 27 : cost 0 5.277 * * [simplify]: Extracting # 28 : cost 0 5.278 * * [simplify]: Extracting # 29 : cost 0 5.279 * * [simplify]: Extracting # 30 : cost 0 5.280 * * [simplify]: Extracting # 31 : cost 0 5.281 * * [simplify]: Extracting # 32 : cost 0 5.282 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 5.441 * * [simplify]: Extracting # 0 : cost 0 5.444 * * [simplify]: Extracting # 1 : cost 0 5.447 * * [simplify]: Extracting # 2 : cost 0 5.450 * * [simplify]: Extracting # 3 : cost 0 5.453 * * [simplify]: Extracting # 4 : cost 0 5.455 * * [simplify]: Extracting # 5 : cost 0 5.458 * * [simplify]: Extracting # 6 : cost 0 5.460 * * [simplify]: iteration 1 : 961 enodes (cost 2712 ) 6.124 * * [simplify]: Extracting # 0 : cost 0 6.132 * * [simplify]: Extracting # 1 : cost 0 6.140 * * [simplify]: Extracting # 2 : cost 0 6.148 * * [simplify]: Extracting # 3 : cost 0 6.156 * * [simplify]: Extracting # 4 : cost 0 6.164 * * [simplify]: Extracting # 5 : cost 0 6.172 * * [simplify]: iteration 2 : 3131 enodes (cost 2550 ) 7.515 * * [simplify]: Extracting # 0 : cost 0 7.523 * * [simplify]: Extracting # 1 : cost 0 7.529 * * [simplify]: Extracting # 2 : cost 0 7.536 * * [simplify]: Extracting # 3 : cost 0 7.553 * * [simplify]: Extracting # 4 : cost 0 7.565 * * [simplify]: iteration done: 5000 enodes (cost 2540 ) 7.568 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 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)) (* (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 (* n PI)) (/ 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 (* n PI)) (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))) (* n (* 2.0 PI)) (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))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (pow (* n (* 2.0 PI)) (- 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 (* n PI)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (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) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 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) (* PI n) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 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)))) (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 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (/ (/ (pow 1.0 3) k) (sqrt k))) (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))) (fma (- 0.5) (* k (fma (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5) (* (log n) (pow (* 2.0 (* n PI)) 0.5)))) (fma (* 0.125 (pow k 2)) (fma (pow (log (* 2.0 PI)) 2) (pow (* 2.0 (* n PI)) 0.5) (* (pow (* 2.0 (* n PI)) 0.5) (pow (log n) 2))) (fma 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* 2.0 (* n PI)) 0.5)) (pow (* 2.0 (* n PI)) 0.5)))) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow (exp (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))) 0.5) (- (- (fma k +nan.0 +nan.0) (* (* +nan.0 k) k))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3))))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) +nan.0))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (fma (* +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)) (fma (* (pow k 2) (log (* 2.0 PI))) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) +nan.0) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (fma (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0 (fma +nan.0 (- (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (fma +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)) (fma (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) +nan.0 (- (* +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 (* k (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (fma +nan.0 (- (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) k) (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 2))) (- (/ +nan.0 (/ (pow k 3) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)))))) (fma (- +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)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 7.570 * * * [progress]: adding candidates to table 8.228 * * [progress]: iteration 2 / 4 8.229 * * * [progress]: picking best candidate 8.269 * * * * [pick]: Picked # 8.270 * * * [progress]: localizing error 8.297 * * * [progress]: generating rewritten candidates 8.297 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 8.309 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 8.317 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.370 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 8.394 * * * [progress]: generating series expansions 8.394 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 8.395 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 8.395 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 8.395 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.395 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.395 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.395 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.395 * [taylor]: Taking taylor expansion of 0.5 in k 8.395 * [backup-simplify]: Simplify 0.5 into 0.5 8.395 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.395 * [taylor]: Taking taylor expansion of 1.0 in k 8.396 * [backup-simplify]: Simplify 1.0 into 1.0 8.396 * [taylor]: Taking taylor expansion of k in k 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify 1 into 1 8.396 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.396 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.396 * [taylor]: Taking taylor expansion of 2.0 in k 8.396 * [backup-simplify]: Simplify 2.0 into 2.0 8.396 * [taylor]: Taking taylor expansion of PI in k 8.396 * [backup-simplify]: Simplify PI into PI 8.396 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.397 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.398 * [backup-simplify]: Simplify (- 0) into 0 8.398 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.399 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.401 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.404 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.404 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.404 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.404 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.404 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.404 * [taylor]: Taking taylor expansion of 0.5 in k 8.404 * [backup-simplify]: Simplify 0.5 into 0.5 8.404 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.404 * [taylor]: Taking taylor expansion of 1.0 in k 8.404 * [backup-simplify]: Simplify 1.0 into 1.0 8.404 * [taylor]: Taking taylor expansion of k in k 8.404 * [backup-simplify]: Simplify 0 into 0 8.404 * [backup-simplify]: Simplify 1 into 1 8.404 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.404 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.404 * [taylor]: Taking taylor expansion of 2.0 in k 8.404 * [backup-simplify]: Simplify 2.0 into 2.0 8.404 * [taylor]: Taking taylor expansion of PI in k 8.404 * [backup-simplify]: Simplify PI into PI 8.405 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.406 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.406 * [backup-simplify]: Simplify (- 0) into 0 8.406 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.407 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.409 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.411 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.413 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 8.414 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.415 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.416 * [backup-simplify]: Simplify (- 1) into -1 8.416 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.418 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.422 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 8.435 * [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))) 8.445 * [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))) 8.446 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.448 * [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 8.449 * [backup-simplify]: Simplify (- 0) into 0 8.449 * [backup-simplify]: Simplify (+ 0 0) into 0 8.450 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.451 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 8.461 * [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))) 8.470 * [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))) 8.489 * [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)))) 8.490 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 8.490 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 8.490 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.490 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.490 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.490 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.490 * [taylor]: Taking taylor expansion of 0.5 in k 8.490 * [backup-simplify]: Simplify 0.5 into 0.5 8.490 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.491 * [taylor]: Taking taylor expansion of 1.0 in k 8.491 * [backup-simplify]: Simplify 1.0 into 1.0 8.491 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.491 * [taylor]: Taking taylor expansion of k in k 8.491 * [backup-simplify]: Simplify 0 into 0 8.491 * [backup-simplify]: Simplify 1 into 1 8.491 * [backup-simplify]: Simplify (/ 1 1) into 1 8.491 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.491 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.491 * [taylor]: Taking taylor expansion of 2.0 in k 8.491 * [backup-simplify]: Simplify 2.0 into 2.0 8.491 * [taylor]: Taking taylor expansion of PI in k 8.491 * [backup-simplify]: Simplify PI into PI 8.492 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.493 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.493 * [backup-simplify]: Simplify (- 1) into -1 8.494 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.494 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.496 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.497 * [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))))) 8.497 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.498 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.498 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.498 * [taylor]: Taking taylor expansion of 0.5 in k 8.498 * [backup-simplify]: Simplify 0.5 into 0.5 8.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.498 * [taylor]: Taking taylor expansion of 1.0 in k 8.498 * [backup-simplify]: Simplify 1.0 into 1.0 8.498 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.498 * [taylor]: Taking taylor expansion of k in k 8.498 * [backup-simplify]: Simplify 0 into 0 8.498 * [backup-simplify]: Simplify 1 into 1 8.498 * [backup-simplify]: Simplify (/ 1 1) into 1 8.498 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.498 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.498 * [taylor]: Taking taylor expansion of 2.0 in k 8.499 * [backup-simplify]: Simplify 2.0 into 2.0 8.499 * [taylor]: Taking taylor expansion of PI in k 8.499 * [backup-simplify]: Simplify PI into PI 8.499 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.500 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.500 * [backup-simplify]: Simplify (- 1) into -1 8.501 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.501 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.502 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.503 * [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))))) 8.504 * [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))))) 8.504 * [backup-simplify]: Simplify 0 into 0 8.504 * [backup-simplify]: Simplify 0 into 0 8.504 * [backup-simplify]: Simplify 0 into 0 8.504 * [backup-simplify]: Simplify 0 into 0 8.504 * [backup-simplify]: Simplify 0 into 0 8.504 * [backup-simplify]: Simplify 0 into 0 8.505 * [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))))) 8.505 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 8.505 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 8.505 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.505 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.505 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.505 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.505 * [taylor]: Taking taylor expansion of 0.5 in k 8.505 * [backup-simplify]: Simplify 0.5 into 0.5 8.505 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.505 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.505 * [taylor]: Taking taylor expansion of k in k 8.505 * [backup-simplify]: Simplify 0 into 0 8.505 * [backup-simplify]: Simplify 1 into 1 8.505 * [backup-simplify]: Simplify (/ 1 1) into 1 8.506 * [taylor]: Taking taylor expansion of 1.0 in k 8.506 * [backup-simplify]: Simplify 1.0 into 1.0 8.506 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.506 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.506 * [taylor]: Taking taylor expansion of 2.0 in k 8.506 * [backup-simplify]: Simplify 2.0 into 2.0 8.506 * [taylor]: Taking taylor expansion of PI in k 8.506 * [backup-simplify]: Simplify PI into PI 8.506 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.507 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.507 * [backup-simplify]: Simplify (+ 1 0) into 1 8.507 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.508 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.509 * [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)))) 8.509 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.509 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.509 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.509 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.509 * [taylor]: Taking taylor expansion of 0.5 in k 8.509 * [backup-simplify]: Simplify 0.5 into 0.5 8.509 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.509 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.509 * [taylor]: Taking taylor expansion of k in k 8.509 * [backup-simplify]: Simplify 0 into 0 8.509 * [backup-simplify]: Simplify 1 into 1 8.509 * [backup-simplify]: Simplify (/ 1 1) into 1 8.509 * [taylor]: Taking taylor expansion of 1.0 in k 8.509 * [backup-simplify]: Simplify 1.0 into 1.0 8.509 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.509 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.509 * [taylor]: Taking taylor expansion of 2.0 in k 8.509 * [backup-simplify]: Simplify 2.0 into 2.0 8.509 * [taylor]: Taking taylor expansion of PI in k 8.509 * [backup-simplify]: Simplify PI into PI 8.510 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.510 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.511 * [backup-simplify]: Simplify (+ 1 0) into 1 8.511 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.512 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.513 * [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)))) 8.514 * [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)))) 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify 0 into 0 8.515 * [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))))) 8.515 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 8.515 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 8.515 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 8.515 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 8.515 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 8.515 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 8.515 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.515 * [taylor]: Taking taylor expansion of 0.5 in k 8.515 * [backup-simplify]: Simplify 0.5 into 0.5 8.515 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.515 * [taylor]: Taking taylor expansion of 1.0 in k 8.515 * [backup-simplify]: Simplify 1.0 into 1.0 8.515 * [taylor]: Taking taylor expansion of k in k 8.515 * [backup-simplify]: Simplify 0 into 0 8.515 * [backup-simplify]: Simplify 1 into 1 8.515 * [taylor]: Taking taylor expansion of (log n) in k 8.515 * [taylor]: Taking taylor expansion of n in k 8.515 * [backup-simplify]: Simplify n into n 8.515 * [backup-simplify]: Simplify (log n) into (log n) 8.515 * [backup-simplify]: Simplify (- 0) into 0 8.516 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.516 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.516 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 8.516 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.516 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 8.516 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 8.516 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 8.516 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.516 * [taylor]: Taking taylor expansion of 0.5 in n 8.516 * [backup-simplify]: Simplify 0.5 into 0.5 8.516 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.516 * [taylor]: Taking taylor expansion of 1.0 in n 8.516 * [backup-simplify]: Simplify 1.0 into 1.0 8.516 * [taylor]: Taking taylor expansion of k in n 8.516 * [backup-simplify]: Simplify k into k 8.516 * [taylor]: Taking taylor expansion of (log n) in n 8.516 * [taylor]: Taking taylor expansion of n in n 8.516 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify 1 into 1 8.517 * [backup-simplify]: Simplify (log 1) into 0 8.517 * [backup-simplify]: Simplify (- k) into (- k) 8.517 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.517 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.517 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.517 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 8.517 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 8.517 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 8.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 8.517 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 8.517 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.517 * [taylor]: Taking taylor expansion of 0.5 in n 8.517 * [backup-simplify]: Simplify 0.5 into 0.5 8.517 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.517 * [taylor]: Taking taylor expansion of 1.0 in n 8.517 * [backup-simplify]: Simplify 1.0 into 1.0 8.517 * [taylor]: Taking taylor expansion of k in n 8.517 * [backup-simplify]: Simplify k into k 8.517 * [taylor]: Taking taylor expansion of (log n) in n 8.517 * [taylor]: Taking taylor expansion of n in n 8.517 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify 1 into 1 8.518 * [backup-simplify]: Simplify (log 1) into 0 8.518 * [backup-simplify]: Simplify (- k) into (- k) 8.518 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.518 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.518 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.518 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 8.518 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 8.518 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 8.518 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 8.518 * [taylor]: Taking taylor expansion of 0.5 in k 8.518 * [backup-simplify]: Simplify 0.5 into 0.5 8.519 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 8.519 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.519 * [taylor]: Taking taylor expansion of 1.0 in k 8.519 * [backup-simplify]: Simplify 1.0 into 1.0 8.519 * [taylor]: Taking taylor expansion of k in k 8.519 * [backup-simplify]: Simplify 0 into 0 8.519 * [backup-simplify]: Simplify 1 into 1 8.519 * [taylor]: Taking taylor expansion of (log n) in k 8.519 * [taylor]: Taking taylor expansion of n in k 8.519 * [backup-simplify]: Simplify n into n 8.519 * [backup-simplify]: Simplify (log n) into (log n) 8.519 * [backup-simplify]: Simplify (- 0) into 0 8.519 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.519 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.519 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 8.519 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.519 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 8.520 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.521 * [backup-simplify]: Simplify (- 0) into 0 8.521 * [backup-simplify]: Simplify (+ 0 0) into 0 8.521 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 8.521 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.521 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 8.522 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.522 * [taylor]: Taking taylor expansion of 0 in k 8.522 * [backup-simplify]: Simplify 0 into 0 8.522 * [backup-simplify]: Simplify 0 into 0 8.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.523 * [backup-simplify]: Simplify (- 1) into -1 8.523 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.523 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 8.524 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 8.524 * [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))) 8.524 * [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))) 8.526 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.526 * [backup-simplify]: Simplify (- 0) into 0 8.526 * [backup-simplify]: Simplify (+ 0 0) into 0 8.527 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.527 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.527 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 8.528 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.528 * [taylor]: Taking taylor expansion of 0 in k 8.528 * [backup-simplify]: Simplify 0 into 0 8.529 * [backup-simplify]: Simplify 0 into 0 8.529 * [backup-simplify]: Simplify 0 into 0 8.530 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.531 * [backup-simplify]: Simplify (- 0) into 0 8.531 * [backup-simplify]: Simplify (+ 0 0) into 0 8.532 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 8.533 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 8.534 * [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))) 8.534 * [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))) 8.536 * [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)))) 8.536 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 8.536 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.536 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.536 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 8.536 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 8.536 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.536 * [taylor]: Taking taylor expansion of 0.5 in k 8.536 * [backup-simplify]: Simplify 0.5 into 0.5 8.536 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.536 * [taylor]: Taking taylor expansion of 1.0 in k 8.536 * [backup-simplify]: Simplify 1.0 into 1.0 8.536 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.536 * [taylor]: Taking taylor expansion of k in k 8.536 * [backup-simplify]: Simplify 0 into 0 8.536 * [backup-simplify]: Simplify 1 into 1 8.537 * [backup-simplify]: Simplify (/ 1 1) into 1 8.537 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 8.537 * [taylor]: Taking taylor expansion of (/ 1 n) in k 8.537 * [taylor]: Taking taylor expansion of n in k 8.537 * [backup-simplify]: Simplify n into n 8.537 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.537 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 8.538 * [backup-simplify]: Simplify (- 1) into -1 8.538 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.539 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.539 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 8.539 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 8.539 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.539 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.539 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.539 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.539 * [taylor]: Taking taylor expansion of 0.5 in n 8.539 * [backup-simplify]: Simplify 0.5 into 0.5 8.539 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.539 * [taylor]: Taking taylor expansion of 1.0 in n 8.539 * [backup-simplify]: Simplify 1.0 into 1.0 8.539 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.539 * [taylor]: Taking taylor expansion of k in n 8.539 * [backup-simplify]: Simplify k into k 8.539 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.539 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.540 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.540 * [taylor]: Taking taylor expansion of n in n 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 1 into 1 8.540 * [backup-simplify]: Simplify (/ 1 1) into 1 8.540 * [backup-simplify]: Simplify (log 1) into 0 8.540 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.541 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.541 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.541 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.541 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.542 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.542 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.542 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.542 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.542 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.542 * [taylor]: Taking taylor expansion of 0.5 in n 8.542 * [backup-simplify]: Simplify 0.5 into 0.5 8.542 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.542 * [taylor]: Taking taylor expansion of 1.0 in n 8.542 * [backup-simplify]: Simplify 1.0 into 1.0 8.542 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.542 * [taylor]: Taking taylor expansion of k in n 8.542 * [backup-simplify]: Simplify k into k 8.542 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.542 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.542 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.542 * [taylor]: Taking taylor expansion of n in n 8.542 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify 1 into 1 8.543 * [backup-simplify]: Simplify (/ 1 1) into 1 8.543 * [backup-simplify]: Simplify (log 1) into 0 8.543 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.543 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.543 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.544 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.544 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.544 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.545 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 8.545 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 8.545 * [taylor]: Taking taylor expansion of -0.5 in k 8.545 * [backup-simplify]: Simplify -0.5 into -0.5 8.545 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 8.545 * [taylor]: Taking taylor expansion of (log n) in k 8.545 * [taylor]: Taking taylor expansion of n in k 8.545 * [backup-simplify]: Simplify n into n 8.545 * [backup-simplify]: Simplify (log n) into (log n) 8.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.545 * [taylor]: Taking taylor expansion of 1.0 in k 8.545 * [backup-simplify]: Simplify 1.0 into 1.0 8.545 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.545 * [taylor]: Taking taylor expansion of k in k 8.545 * [backup-simplify]: Simplify 0 into 0 8.545 * [backup-simplify]: Simplify 1 into 1 8.546 * [backup-simplify]: Simplify (/ 1 1) into 1 8.546 * [backup-simplify]: Simplify (- 1) into -1 8.546 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.547 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 8.547 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 8.547 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.547 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.550 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.550 * [backup-simplify]: Simplify (- 0) into 0 8.551 * [backup-simplify]: Simplify (+ 0 0) into 0 8.551 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.552 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.552 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 8.553 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.553 * [taylor]: Taking taylor expansion of 0 in k 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.557 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.558 * [backup-simplify]: Simplify (- 0) into 0 8.559 * [backup-simplify]: Simplify (+ 0 0) into 0 8.559 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.560 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.560 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 8.561 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.561 * [taylor]: Taking taylor expansion of 0 in k 8.561 * [backup-simplify]: Simplify 0 into 0 8.561 * [backup-simplify]: Simplify 0 into 0 8.561 * [backup-simplify]: Simplify 0 into 0 8.561 * [backup-simplify]: Simplify 0 into 0 8.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.564 * [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 8.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.565 * [backup-simplify]: Simplify (- 0) into 0 8.565 * [backup-simplify]: Simplify (+ 0 0) into 0 8.566 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 8.566 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.567 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 8.568 * [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 8.568 * [taylor]: Taking taylor expansion of 0 in k 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 8.568 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 8.568 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.568 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.568 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 8.568 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 8.568 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.568 * [taylor]: Taking taylor expansion of 0.5 in k 8.568 * [backup-simplify]: Simplify 0.5 into 0.5 8.568 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.569 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.569 * [taylor]: Taking taylor expansion of k in k 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 1 into 1 8.569 * [backup-simplify]: Simplify (/ 1 1) into 1 8.569 * [taylor]: Taking taylor expansion of 1.0 in k 8.569 * [backup-simplify]: Simplify 1.0 into 1.0 8.569 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 8.569 * [taylor]: Taking taylor expansion of (/ -1 n) in k 8.569 * [taylor]: Taking taylor expansion of -1 in k 8.569 * [backup-simplify]: Simplify -1 into -1 8.569 * [taylor]: Taking taylor expansion of n in k 8.569 * [backup-simplify]: Simplify n into n 8.569 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.569 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 8.569 * [backup-simplify]: Simplify (+ 1 0) into 1 8.570 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.570 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 8.570 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 8.570 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.570 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.570 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.570 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.570 * [taylor]: Taking taylor expansion of 0.5 in n 8.570 * [backup-simplify]: Simplify 0.5 into 0.5 8.570 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.570 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.570 * [taylor]: Taking taylor expansion of k in n 8.570 * [backup-simplify]: Simplify k into k 8.570 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.570 * [taylor]: Taking taylor expansion of 1.0 in n 8.570 * [backup-simplify]: Simplify 1.0 into 1.0 8.570 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.570 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.570 * [taylor]: Taking taylor expansion of -1 in n 8.570 * [backup-simplify]: Simplify -1 into -1 8.570 * [taylor]: Taking taylor expansion of n in n 8.570 * [backup-simplify]: Simplify 0 into 0 8.570 * [backup-simplify]: Simplify 1 into 1 8.570 * [backup-simplify]: Simplify (/ -1 1) into -1 8.571 * [backup-simplify]: Simplify (log -1) into (log -1) 8.571 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.571 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.578 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.578 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.579 * [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)))) 8.579 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.579 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.579 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.579 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.579 * [taylor]: Taking taylor expansion of 0.5 in n 8.579 * [backup-simplify]: Simplify 0.5 into 0.5 8.579 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.579 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.579 * [taylor]: Taking taylor expansion of k in n 8.579 * [backup-simplify]: Simplify k into k 8.579 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.579 * [taylor]: Taking taylor expansion of 1.0 in n 8.579 * [backup-simplify]: Simplify 1.0 into 1.0 8.579 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.579 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.579 * [taylor]: Taking taylor expansion of -1 in n 8.579 * [backup-simplify]: Simplify -1 into -1 8.579 * [taylor]: Taking taylor expansion of n in n 8.579 * [backup-simplify]: Simplify 0 into 0 8.579 * [backup-simplify]: Simplify 1 into 1 8.579 * [backup-simplify]: Simplify (/ -1 1) into -1 8.580 * [backup-simplify]: Simplify (log -1) into (log -1) 8.580 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.580 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.580 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.581 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.581 * [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)))) 8.581 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 8.581 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 8.581 * [taylor]: Taking taylor expansion of 0.5 in k 8.581 * [backup-simplify]: Simplify 0.5 into 0.5 8.581 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 8.581 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 8.581 * [taylor]: Taking taylor expansion of (log -1) in k 8.581 * [taylor]: Taking taylor expansion of -1 in k 8.581 * [backup-simplify]: Simplify -1 into -1 8.582 * [backup-simplify]: Simplify (log -1) into (log -1) 8.582 * [taylor]: Taking taylor expansion of (log n) in k 8.582 * [taylor]: Taking taylor expansion of n in k 8.582 * [backup-simplify]: Simplify n into n 8.582 * [backup-simplify]: Simplify (log n) into (log n) 8.582 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.582 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.582 * [taylor]: Taking taylor expansion of k in k 8.582 * [backup-simplify]: Simplify 0 into 0 8.582 * [backup-simplify]: Simplify 1 into 1 8.582 * [backup-simplify]: Simplify (/ 1 1) into 1 8.582 * [taylor]: Taking taylor expansion of 1.0 in k 8.582 * [backup-simplify]: Simplify 1.0 into 1.0 8.582 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.582 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 8.583 * [backup-simplify]: Simplify (+ 1 0) into 1 8.583 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 8.583 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 8.584 * [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)))) 8.584 * [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)))) 8.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.585 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.586 * [backup-simplify]: Simplify (+ 0 0) into 0 8.586 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.587 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.587 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 8.588 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.588 * [taylor]: Taking taylor expansion of 0 in k 8.588 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify 0 into 0 8.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.590 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.591 * [backup-simplify]: Simplify (+ 0 0) into 0 8.591 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.592 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.592 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 8.593 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.593 * [taylor]: Taking taylor expansion of 0 in k 8.593 * [backup-simplify]: Simplify 0 into 0 8.593 * [backup-simplify]: Simplify 0 into 0 8.593 * [backup-simplify]: Simplify 0 into 0 8.593 * [backup-simplify]: Simplify 0 into 0 8.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.597 * [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 8.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.597 * [backup-simplify]: Simplify (+ 0 0) into 0 8.598 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 8.599 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.599 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 8.601 * [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 8.601 * [taylor]: Taking taylor expansion of 0 in k 8.601 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify 0 into 0 8.601 * [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)))))) 8.601 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.602 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) 8.602 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 8.602 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 8.602 * [taylor]: Taking taylor expansion of 1.0 in k 8.602 * [backup-simplify]: Simplify 1.0 into 1.0 8.602 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 8.602 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.602 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.602 * [taylor]: Taking taylor expansion of k in k 8.602 * [backup-simplify]: Simplify 0 into 0 8.602 * [backup-simplify]: Simplify 1 into 1 8.602 * [backup-simplify]: Simplify (/ 1 1) into 1 8.602 * [backup-simplify]: Simplify (sqrt 0) into 0 8.603 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.603 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.603 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.603 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.603 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.604 * [taylor]: Taking taylor expansion of 0.5 in k 8.604 * [backup-simplify]: Simplify 0.5 into 0.5 8.604 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.604 * [taylor]: Taking taylor expansion of 1.0 in k 8.604 * [backup-simplify]: Simplify 1.0 into 1.0 8.604 * [taylor]: Taking taylor expansion of k in k 8.604 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify 1 into 1 8.604 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.604 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.604 * [taylor]: Taking taylor expansion of 2.0 in k 8.604 * [backup-simplify]: Simplify 2.0 into 2.0 8.604 * [taylor]: Taking taylor expansion of PI in k 8.604 * [backup-simplify]: Simplify PI into PI 8.604 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.605 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.606 * [backup-simplify]: Simplify (- 0) into 0 8.606 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.607 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.608 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.611 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.611 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 8.611 * [taylor]: Taking taylor expansion of 1.0 in k 8.611 * [backup-simplify]: Simplify 1.0 into 1.0 8.611 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 8.611 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.611 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.611 * [taylor]: Taking taylor expansion of k in k 8.611 * [backup-simplify]: Simplify 0 into 0 8.611 * [backup-simplify]: Simplify 1 into 1 8.612 * [backup-simplify]: Simplify (/ 1 1) into 1 8.612 * [backup-simplify]: Simplify (sqrt 0) into 0 8.613 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.613 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.613 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.613 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.613 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.613 * [taylor]: Taking taylor expansion of 0.5 in k 8.613 * [backup-simplify]: Simplify 0.5 into 0.5 8.613 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.613 * [taylor]: Taking taylor expansion of 1.0 in k 8.614 * [backup-simplify]: Simplify 1.0 into 1.0 8.614 * [taylor]: Taking taylor expansion of k in k 8.614 * [backup-simplify]: Simplify 0 into 0 8.614 * [backup-simplify]: Simplify 1 into 1 8.614 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.614 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.614 * [taylor]: Taking taylor expansion of 2.0 in k 8.614 * [backup-simplify]: Simplify 2.0 into 2.0 8.614 * [taylor]: Taking taylor expansion of PI in k 8.614 * [backup-simplify]: Simplify PI into PI 8.614 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.615 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.616 * [backup-simplify]: Simplify (- 0) into 0 8.616 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.617 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.619 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.622 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.623 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 8.624 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.624 * [backup-simplify]: Simplify 0 into 0 8.624 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.625 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.625 * [backup-simplify]: Simplify (- 1) into -1 8.626 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.626 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.629 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 8.636 * [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))) 8.640 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.645 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.649 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.649 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.651 * [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 8.651 * [backup-simplify]: Simplify (- 0) into 0 8.652 * [backup-simplify]: Simplify (+ 0 0) into 0 8.653 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.654 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 8.669 * [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))) 8.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.671 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.690 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 8.707 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 8.724 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 8.726 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.732 * [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 8.733 * [backup-simplify]: Simplify (- 0) into 0 8.733 * [backup-simplify]: Simplify (+ 0 0) into 0 8.735 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 8.737 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 8.759 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.805 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 8.859 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 8.891 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 8.942 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) k) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) 8.943 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) 8.943 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 8.943 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.943 * [taylor]: Taking taylor expansion of 1.0 in k 8.943 * [backup-simplify]: Simplify 1.0 into 1.0 8.943 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.943 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.943 * [taylor]: Taking taylor expansion of k in k 8.943 * [backup-simplify]: Simplify 0 into 0 8.943 * [backup-simplify]: Simplify 1 into 1 8.944 * [backup-simplify]: Simplify (sqrt 0) into 0 8.944 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.944 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.945 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.945 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.945 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.945 * [taylor]: Taking taylor expansion of 0.5 in k 8.945 * [backup-simplify]: Simplify 0.5 into 0.5 8.945 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.945 * [taylor]: Taking taylor expansion of 1.0 in k 8.945 * [backup-simplify]: Simplify 1.0 into 1.0 8.945 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.945 * [taylor]: Taking taylor expansion of k in k 8.945 * [backup-simplify]: Simplify 0 into 0 8.945 * [backup-simplify]: Simplify 1 into 1 8.945 * [backup-simplify]: Simplify (/ 1 1) into 1 8.945 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.945 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.945 * [taylor]: Taking taylor expansion of 2.0 in k 8.945 * [backup-simplify]: Simplify 2.0 into 2.0 8.945 * [taylor]: Taking taylor expansion of PI in k 8.945 * [backup-simplify]: Simplify PI into PI 8.945 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.946 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.946 * [backup-simplify]: Simplify (- 1) into -1 8.947 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.947 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.948 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.949 * [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))))) 8.949 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.949 * [taylor]: Taking taylor expansion of 1.0 in k 8.949 * [backup-simplify]: Simplify 1.0 into 1.0 8.949 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.949 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.949 * [taylor]: Taking taylor expansion of k in k 8.949 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify 1 into 1 8.949 * [backup-simplify]: Simplify (sqrt 0) into 0 8.950 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.950 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.950 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.950 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.950 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.950 * [taylor]: Taking taylor expansion of 0.5 in k 8.950 * [backup-simplify]: Simplify 0.5 into 0.5 8.950 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.950 * [taylor]: Taking taylor expansion of 1.0 in k 8.950 * [backup-simplify]: Simplify 1.0 into 1.0 8.950 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.950 * [taylor]: Taking taylor expansion of k in k 8.950 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify 1 into 1 8.950 * [backup-simplify]: Simplify (/ 1 1) into 1 8.950 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.950 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.950 * [taylor]: Taking taylor expansion of 2.0 in k 8.950 * [backup-simplify]: Simplify 2.0 into 2.0 8.950 * [taylor]: Taking taylor expansion of PI in k 8.950 * [backup-simplify]: Simplify PI into PI 8.951 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.951 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.952 * [backup-simplify]: Simplify (- 1) into -1 8.958 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.959 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.960 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.961 * [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))))) 8.962 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 8.962 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.962 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.964 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.965 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.967 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.970 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.971 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.977 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.978 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.981 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) 8.981 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 8.981 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 8.981 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.981 * [taylor]: Taking taylor expansion of 1.0 in k 8.981 * [backup-simplify]: Simplify 1.0 into 1.0 8.981 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.981 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.981 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.981 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.981 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.981 * [taylor]: Taking taylor expansion of 0.5 in k 8.981 * [backup-simplify]: Simplify 0.5 into 0.5 8.981 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.981 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.982 * [taylor]: Taking taylor expansion of k in k 8.982 * [backup-simplify]: Simplify 0 into 0 8.982 * [backup-simplify]: Simplify 1 into 1 8.982 * [backup-simplify]: Simplify (/ 1 1) into 1 8.982 * [taylor]: Taking taylor expansion of 1.0 in k 8.982 * [backup-simplify]: Simplify 1.0 into 1.0 8.982 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.982 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.982 * [taylor]: Taking taylor expansion of 2.0 in k 8.982 * [backup-simplify]: Simplify 2.0 into 2.0 8.982 * [taylor]: Taking taylor expansion of PI in k 8.982 * [backup-simplify]: Simplify PI into PI 8.982 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.983 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.983 * [backup-simplify]: Simplify (+ 1 0) into 1 8.983 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.985 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.987 * [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)))) 8.987 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.987 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.987 * [taylor]: Taking taylor expansion of -1 in k 8.987 * [backup-simplify]: Simplify -1 into -1 8.987 * [taylor]: Taking taylor expansion of k in k 8.987 * [backup-simplify]: Simplify 0 into 0 8.987 * [backup-simplify]: Simplify 1 into 1 8.987 * [backup-simplify]: Simplify (/ -1 1) into -1 8.988 * [backup-simplify]: Simplify (sqrt 0) into 0 8.989 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.990 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.990 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.990 * [taylor]: Taking taylor expansion of 1.0 in k 8.990 * [backup-simplify]: Simplify 1.0 into 1.0 8.990 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.991 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.991 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.991 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.991 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.991 * [taylor]: Taking taylor expansion of 0.5 in k 8.991 * [backup-simplify]: Simplify 0.5 into 0.5 8.991 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.991 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.991 * [taylor]: Taking taylor expansion of k in k 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * [backup-simplify]: Simplify 1 into 1 8.991 * [backup-simplify]: Simplify (/ 1 1) into 1 8.991 * [taylor]: Taking taylor expansion of 1.0 in k 8.991 * [backup-simplify]: Simplify 1.0 into 1.0 8.991 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.991 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.991 * [taylor]: Taking taylor expansion of 2.0 in k 8.991 * [backup-simplify]: Simplify 2.0 into 2.0 8.991 * [taylor]: Taking taylor expansion of PI in k 8.992 * [backup-simplify]: Simplify PI into PI 8.992 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.993 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.994 * [backup-simplify]: Simplify (+ 1 0) into 1 8.994 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.996 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.997 * [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)))) 8.997 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.997 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.997 * [taylor]: Taking taylor expansion of -1 in k 8.997 * [backup-simplify]: Simplify -1 into -1 8.997 * [taylor]: Taking taylor expansion of k in k 8.997 * [backup-simplify]: Simplify 0 into 0 8.997 * [backup-simplify]: Simplify 1 into 1 8.998 * [backup-simplify]: Simplify (/ -1 1) into -1 8.998 * [backup-simplify]: Simplify (sqrt 0) into 0 9.000 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.001 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 9.003 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 9.004 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 9.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.009 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.011 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 9.014 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 9.015 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 9.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.021 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.025 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 9.028 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 9.030 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 9.034 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (/ 1 (- k))) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) 9.034 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 9.034 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 9.034 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 9.034 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.035 * [taylor]: Taking taylor expansion of 1.0 in k 9.035 * [backup-simplify]: Simplify 1.0 into 1.0 9.035 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.035 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.035 * [taylor]: Taking taylor expansion of k in k 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify 1 into 1 9.035 * [backup-simplify]: Simplify (/ 1 1) into 1 9.036 * [backup-simplify]: Simplify (sqrt 0) into 0 9.037 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.037 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.037 * [taylor]: Taking taylor expansion of 1.0 in k 9.037 * [backup-simplify]: Simplify 1.0 into 1.0 9.037 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.037 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.037 * [taylor]: Taking taylor expansion of k in k 9.037 * [backup-simplify]: Simplify 0 into 0 9.037 * [backup-simplify]: Simplify 1 into 1 9.038 * [backup-simplify]: Simplify (/ 1 1) into 1 9.038 * [backup-simplify]: Simplify (sqrt 0) into 0 9.040 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.040 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.040 * [backup-simplify]: Simplify 0 into 0 9.042 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.042 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.046 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.048 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.049 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.054 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.054 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.055 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 9.055 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 9.055 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 9.055 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.055 * [taylor]: Taking taylor expansion of 1.0 in k 9.055 * [backup-simplify]: Simplify 1.0 into 1.0 9.055 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.055 * [taylor]: Taking taylor expansion of k in k 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify 1 into 1 9.056 * [backup-simplify]: Simplify (sqrt 0) into 0 9.056 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.056 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.056 * [taylor]: Taking taylor expansion of 1.0 in k 9.056 * [backup-simplify]: Simplify 1.0 into 1.0 9.056 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.056 * [taylor]: Taking taylor expansion of k in k 9.056 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify 1 into 1 9.057 * [backup-simplify]: Simplify (sqrt 0) into 0 9.057 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.058 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.058 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.059 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.061 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.062 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.062 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.066 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.066 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.068 * [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)))))))) 9.068 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 9.068 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 9.068 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.068 * [taylor]: Taking taylor expansion of 1.0 in k 9.068 * [backup-simplify]: Simplify 1.0 into 1.0 9.068 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.068 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.068 * [taylor]: Taking taylor expansion of -1 in k 9.068 * [backup-simplify]: Simplify -1 into -1 9.068 * [taylor]: Taking taylor expansion of k in k 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify 1 into 1 9.068 * [backup-simplify]: Simplify (/ -1 1) into -1 9.069 * [backup-simplify]: Simplify (sqrt 0) into 0 9.070 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.070 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.070 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.070 * [taylor]: Taking taylor expansion of 1.0 in k 9.070 * [backup-simplify]: Simplify 1.0 into 1.0 9.070 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.070 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.070 * [taylor]: Taking taylor expansion of -1 in k 9.070 * [backup-simplify]: Simplify -1 into -1 9.070 * [taylor]: Taking taylor expansion of k in k 9.070 * [backup-simplify]: Simplify 0 into 0 9.070 * [backup-simplify]: Simplify 1 into 1 9.070 * [backup-simplify]: Simplify (/ -1 1) into -1 9.071 * [backup-simplify]: Simplify (sqrt 0) into 0 9.072 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.072 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.072 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.074 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.076 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.076 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.089 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.089 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.090 * [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))))) 9.091 * * * [progress]: simplifying candidates 9.095 * [simplify]: Simplifying: (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (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)) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (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)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (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)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (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)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (- (+ (* 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))))) (- (+ (* 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)))))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (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))))) 9.103 * * [simplify]: Extracting # 0 : cost 0 9.104 * * [simplify]: Extracting # 1 : cost 0 9.105 * * [simplify]: Extracting # 2 : cost 0 9.105 * * [simplify]: Extracting # 3 : cost 0 9.106 * * [simplify]: Extracting # 4 : cost 0 9.107 * * [simplify]: Extracting # 5 : cost 0 9.108 * * [simplify]: Extracting # 6 : cost 0 9.109 * * [simplify]: Extracting # 7 : cost 0 9.110 * * [simplify]: Extracting # 8 : cost 0 9.111 * * [simplify]: Extracting # 9 : cost 0 9.111 * * [simplify]: Extracting # 10 : cost 0 9.112 * * [simplify]: Extracting # 11 : cost 0 9.113 * * [simplify]: Extracting # 12 : cost 0 9.114 * * [simplify]: Extracting # 13 : cost 0 9.115 * * [simplify]: Extracting # 14 : cost 0 9.116 * * [simplify]: Extracting # 15 : cost 0 9.117 * * [simplify]: Extracting # 16 : cost 0 9.119 * * [simplify]: Extracting # 17 : cost 0 9.120 * * [simplify]: iteration 0 : 333 enodes (cost 2626 ) 9.244 * * [simplify]: Extracting # 0 : cost 0 9.247 * * [simplify]: Extracting # 1 : cost 0 9.249 * * [simplify]: Extracting # 2 : cost 0 9.252 * * [simplify]: Extracting # 3 : cost 0 9.254 * * [simplify]: Extracting # 4 : cost 0 9.257 * * [simplify]: iteration 1 : 831 enodes (cost 2468 ) 9.834 * * [simplify]: Extracting # 0 : cost 0 9.837 * * [simplify]: Extracting # 1 : cost 0 9.841 * * [simplify]: Extracting # 2 : cost 0 9.844 * * [simplify]: Extracting # 3 : cost 0 9.847 * * [simplify]: Extracting # 4 : cost 0 9.859 * * [simplify]: iteration 2 : 2409 enodes (cost 2362 ) 10.784 * * [simplify]: Extracting # 0 : cost 0 10.798 * * [simplify]: Extracting # 1 : cost 0 10.811 * * [simplify]: Extracting # 2 : cost 0 10.819 * * [simplify]: Extracting # 3 : cost 0 10.826 * * [simplify]: Extracting # 4 : cost 0 10.834 * * [simplify]: iteration done: 5000 enodes (cost 2337 ) 10.837 * [simplify]: Simplified to: (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI 2.0) (/ 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))) (* PI 2.0) (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 (* PI 2.0) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* PI 2.0) (* PI 2.0) (pow (* PI 2.0) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (log (* 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 (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (pow (* PI 2.0) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* PI 2.0) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (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)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (/ (pow 1.0 3) (* k (sqrt k)))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (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) (- (fma 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)))) (pow (* PI 2.0) (* 0.5 (- 1.0 k))) (pow (* PI 2.0) (* 0.5 (- 1.0 k))) (- (fma 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)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* (* 0.5 (- 1.0 k)) (+ 0 (log n)))) (fma (- (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) +nan.0 (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (fma (- +nan.0) (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) +nan.0)))))) (fma +nan.0 (- (/ (pow (* PI 2.0) (* 0.5 (- 1.0 k))) k) (/ (pow (* PI 2.0) (* 0.5 (- 1.0 k))) (pow k 3))) (/ (- +nan.0) (/ (pow k 2) (pow (* PI 2.0) (* 0.5 (- 1.0 k)))))) (fma +nan.0 (- (/ (pow (* PI 2.0) (* 0.5 (- 1.0 k))) k) (pow (* PI 2.0) (* 0.5 (- 1.0 k)))) (/ (- +nan.0) (/ (pow k 2) (pow (* PI 2.0) (* 0.5 (- 1.0 k)))))) (fma k (- +nan.0) (fma +nan.0 (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))) 10.839 * * * [progress]: adding candidates to table 11.680 * * [progress]: iteration 3 / 4 11.680 * * * [progress]: picking best candidate 11.722 * * * * [pick]: Picked # 11.722 * * * [progress]: localizing error 11.762 * * * [progress]: generating rewritten candidates 11.762 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 11.779 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 11.795 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 11.890 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 11.922 * * * [progress]: generating series expansions 11.923 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 11.923 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 11.923 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 11.923 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.923 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.923 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.923 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.923 * [taylor]: Taking taylor expansion of 0.5 in k 11.923 * [backup-simplify]: Simplify 0.5 into 0.5 11.923 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.923 * [taylor]: Taking taylor expansion of 1.0 in k 11.923 * [backup-simplify]: Simplify 1.0 into 1.0 11.923 * [taylor]: Taking taylor expansion of k in k 11.923 * [backup-simplify]: Simplify 0 into 0 11.923 * [backup-simplify]: Simplify 1 into 1 11.923 * [taylor]: Taking taylor expansion of (log PI) in k 11.923 * [taylor]: Taking taylor expansion of PI in k 11.923 * [backup-simplify]: Simplify PI into PI 11.924 * [backup-simplify]: Simplify (log PI) into (log PI) 11.924 * [backup-simplify]: Simplify (- 0) into 0 11.925 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.925 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.925 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.927 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.927 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.927 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.927 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.927 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.927 * [taylor]: Taking taylor expansion of 0.5 in k 11.927 * [backup-simplify]: Simplify 0.5 into 0.5 11.927 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.927 * [taylor]: Taking taylor expansion of 1.0 in k 11.927 * [backup-simplify]: Simplify 1.0 into 1.0 11.927 * [taylor]: Taking taylor expansion of k in k 11.927 * [backup-simplify]: Simplify 0 into 0 11.927 * [backup-simplify]: Simplify 1 into 1 11.927 * [taylor]: Taking taylor expansion of (log PI) in k 11.927 * [taylor]: Taking taylor expansion of PI in k 11.927 * [backup-simplify]: Simplify PI into PI 11.927 * [backup-simplify]: Simplify (log PI) into (log PI) 11.927 * [backup-simplify]: Simplify (- 0) into 0 11.928 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.928 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.929 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.930 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.930 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 11.931 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.931 * [backup-simplify]: Simplify (- 1) into -1 11.931 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.932 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.934 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 11.940 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.942 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.943 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 11.944 * [backup-simplify]: Simplify (- 0) into 0 11.944 * [backup-simplify]: Simplify (+ 0 0) into 0 11.945 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.945 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 11.952 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 11.955 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 11.960 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 11.961 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 11.961 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 11.961 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.961 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.961 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.961 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.961 * [taylor]: Taking taylor expansion of 0.5 in k 11.961 * [backup-simplify]: Simplify 0.5 into 0.5 11.961 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.961 * [taylor]: Taking taylor expansion of 1.0 in k 11.961 * [backup-simplify]: Simplify 1.0 into 1.0 11.961 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.961 * [taylor]: Taking taylor expansion of k in k 11.961 * [backup-simplify]: Simplify 0 into 0 11.961 * [backup-simplify]: Simplify 1 into 1 11.961 * [backup-simplify]: Simplify (/ 1 1) into 1 11.961 * [taylor]: Taking taylor expansion of (log PI) in k 11.961 * [taylor]: Taking taylor expansion of PI in k 11.961 * [backup-simplify]: Simplify PI into PI 11.961 * [backup-simplify]: Simplify (log PI) into (log PI) 11.962 * [backup-simplify]: Simplify (- 1) into -1 11.962 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.962 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.963 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.963 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.963 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.963 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.963 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.963 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.963 * [taylor]: Taking taylor expansion of 0.5 in k 11.963 * [backup-simplify]: Simplify 0.5 into 0.5 11.963 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.963 * [taylor]: Taking taylor expansion of 1.0 in k 11.963 * [backup-simplify]: Simplify 1.0 into 1.0 11.963 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.964 * [taylor]: Taking taylor expansion of k in k 11.964 * [backup-simplify]: Simplify 0 into 0 11.964 * [backup-simplify]: Simplify 1 into 1 11.964 * [backup-simplify]: Simplify (/ 1 1) into 1 11.964 * [taylor]: Taking taylor expansion of (log PI) in k 11.964 * [taylor]: Taking taylor expansion of PI in k 11.964 * [backup-simplify]: Simplify PI into PI 11.964 * [backup-simplify]: Simplify (log PI) into (log PI) 11.964 * [backup-simplify]: Simplify (- 1) into -1 11.965 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.965 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.965 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.966 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.966 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.966 * [backup-simplify]: Simplify 0 into 0 11.966 * [backup-simplify]: Simplify 0 into 0 11.966 * [backup-simplify]: Simplify 0 into 0 11.966 * [backup-simplify]: Simplify 0 into 0 11.966 * [backup-simplify]: Simplify 0 into 0 11.966 * [backup-simplify]: Simplify 0 into 0 11.967 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 11.967 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 11.967 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 11.967 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.967 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.967 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.967 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.967 * [taylor]: Taking taylor expansion of 0.5 in k 11.967 * [backup-simplify]: Simplify 0.5 into 0.5 11.967 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.967 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.967 * [taylor]: Taking taylor expansion of k in k 11.967 * [backup-simplify]: Simplify 0 into 0 11.967 * [backup-simplify]: Simplify 1 into 1 11.968 * [backup-simplify]: Simplify (/ 1 1) into 1 11.968 * [taylor]: Taking taylor expansion of 1.0 in k 11.968 * [backup-simplify]: Simplify 1.0 into 1.0 11.968 * [taylor]: Taking taylor expansion of (log PI) in k 11.968 * [taylor]: Taking taylor expansion of PI in k 11.968 * [backup-simplify]: Simplify PI into PI 11.968 * [backup-simplify]: Simplify (log PI) into (log PI) 11.968 * [backup-simplify]: Simplify (+ 1 0) into 1 11.969 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.969 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.970 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.970 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.970 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.970 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.970 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.970 * [taylor]: Taking taylor expansion of 0.5 in k 11.970 * [backup-simplify]: Simplify 0.5 into 0.5 11.970 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.970 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.970 * [taylor]: Taking taylor expansion of k in k 11.970 * [backup-simplify]: Simplify 0 into 0 11.970 * [backup-simplify]: Simplify 1 into 1 11.970 * [backup-simplify]: Simplify (/ 1 1) into 1 11.970 * [taylor]: Taking taylor expansion of 1.0 in k 11.970 * [backup-simplify]: Simplify 1.0 into 1.0 11.970 * [taylor]: Taking taylor expansion of (log PI) in k 11.970 * [taylor]: Taking taylor expansion of PI in k 11.970 * [backup-simplify]: Simplify PI into PI 11.970 * [backup-simplify]: Simplify (log PI) into (log PI) 11.971 * [backup-simplify]: Simplify (+ 1 0) into 1 11.971 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.972 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.972 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.972 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.972 * [backup-simplify]: Simplify 0 into 0 11.973 * [backup-simplify]: Simplify 0 into 0 11.973 * [backup-simplify]: Simplify 0 into 0 11.973 * [backup-simplify]: Simplify 0 into 0 11.973 * [backup-simplify]: Simplify 0 into 0 11.973 * [backup-simplify]: Simplify 0 into 0 11.973 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 11.973 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 11.973 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 11.973 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 11.973 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 11.973 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 11.973 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 11.973 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.973 * [taylor]: Taking taylor expansion of 0.5 in k 11.973 * [backup-simplify]: Simplify 0.5 into 0.5 11.973 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.973 * [taylor]: Taking taylor expansion of 1.0 in k 11.973 * [backup-simplify]: Simplify 1.0 into 1.0 11.973 * [taylor]: Taking taylor expansion of k in k 11.973 * [backup-simplify]: Simplify 0 into 0 11.973 * [backup-simplify]: Simplify 1 into 1 11.973 * [taylor]: Taking taylor expansion of (log n) in k 11.973 * [taylor]: Taking taylor expansion of n in k 11.974 * [backup-simplify]: Simplify n into n 11.974 * [backup-simplify]: Simplify (log n) into (log n) 11.974 * [backup-simplify]: Simplify (- 0) into 0 11.974 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.974 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.974 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 11.974 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.974 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.975 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.975 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.975 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.975 * [taylor]: Taking taylor expansion of 0.5 in n 11.975 * [backup-simplify]: Simplify 0.5 into 0.5 11.975 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.975 * [taylor]: Taking taylor expansion of 1.0 in n 11.975 * [backup-simplify]: Simplify 1.0 into 1.0 11.975 * [taylor]: Taking taylor expansion of k in n 11.975 * [backup-simplify]: Simplify k into k 11.975 * [taylor]: Taking taylor expansion of (log n) in n 11.975 * [taylor]: Taking taylor expansion of n in n 11.975 * [backup-simplify]: Simplify 0 into 0 11.975 * [backup-simplify]: Simplify 1 into 1 11.975 * [backup-simplify]: Simplify (log 1) into 0 11.975 * [backup-simplify]: Simplify (- k) into (- k) 11.975 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.975 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.975 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.975 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.976 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.976 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.976 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.976 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.976 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.976 * [taylor]: Taking taylor expansion of 0.5 in n 11.976 * [backup-simplify]: Simplify 0.5 into 0.5 11.976 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.976 * [taylor]: Taking taylor expansion of 1.0 in n 11.976 * [backup-simplify]: Simplify 1.0 into 1.0 11.976 * [taylor]: Taking taylor expansion of k in n 11.976 * [backup-simplify]: Simplify k into k 11.976 * [taylor]: Taking taylor expansion of (log n) in n 11.976 * [taylor]: Taking taylor expansion of n in n 11.976 * [backup-simplify]: Simplify 0 into 0 11.976 * [backup-simplify]: Simplify 1 into 1 11.976 * [backup-simplify]: Simplify (log 1) into 0 11.976 * [backup-simplify]: Simplify (- k) into (- k) 11.976 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.976 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.977 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.977 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.977 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.977 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 11.977 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 11.977 * [taylor]: Taking taylor expansion of 0.5 in k 11.977 * [backup-simplify]: Simplify 0.5 into 0.5 11.977 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 11.977 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.977 * [taylor]: Taking taylor expansion of 1.0 in k 11.977 * [backup-simplify]: Simplify 1.0 into 1.0 11.977 * [taylor]: Taking taylor expansion of k in k 11.977 * [backup-simplify]: Simplify 0 into 0 11.977 * [backup-simplify]: Simplify 1 into 1 11.977 * [taylor]: Taking taylor expansion of (log n) in k 11.977 * [taylor]: Taking taylor expansion of n in k 11.977 * [backup-simplify]: Simplify n into n 11.977 * [backup-simplify]: Simplify (log n) into (log n) 11.977 * [backup-simplify]: Simplify (- 0) into 0 11.978 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.978 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.978 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 11.978 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.978 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 11.979 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.979 * [backup-simplify]: Simplify (- 0) into 0 11.979 * [backup-simplify]: Simplify (+ 0 0) into 0 11.980 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 11.980 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.980 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 11.981 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.981 * [taylor]: Taking taylor expansion of 0 in k 11.981 * [backup-simplify]: Simplify 0 into 0 11.981 * [backup-simplify]: Simplify 0 into 0 11.981 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.981 * [backup-simplify]: Simplify (- 1) into -1 11.982 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.982 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 11.982 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 11.982 * [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))) 11.983 * [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))) 11.984 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.984 * [backup-simplify]: Simplify (- 0) into 0 11.985 * [backup-simplify]: Simplify (+ 0 0) into 0 11.985 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.986 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.986 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 11.987 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.987 * [taylor]: Taking taylor expansion of 0 in k 11.987 * [backup-simplify]: Simplify 0 into 0 11.987 * [backup-simplify]: Simplify 0 into 0 11.987 * [backup-simplify]: Simplify 0 into 0 11.988 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.988 * [backup-simplify]: Simplify (- 0) into 0 11.989 * [backup-simplify]: Simplify (+ 0 0) into 0 11.989 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 11.990 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 11.990 * [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))) 11.991 * [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))) 11.991 * [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)))) 11.991 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 11.991 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 11.991 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.991 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 11.991 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 11.992 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.992 * [taylor]: Taking taylor expansion of 0.5 in k 11.992 * [backup-simplify]: Simplify 0.5 into 0.5 11.992 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.992 * [taylor]: Taking taylor expansion of 1.0 in k 11.992 * [backup-simplify]: Simplify 1.0 into 1.0 11.992 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.992 * [taylor]: Taking taylor expansion of k in k 11.992 * [backup-simplify]: Simplify 0 into 0 11.992 * [backup-simplify]: Simplify 1 into 1 11.992 * [backup-simplify]: Simplify (/ 1 1) into 1 11.992 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 11.992 * [taylor]: Taking taylor expansion of (/ 1 n) in k 11.992 * [taylor]: Taking taylor expansion of n in k 11.992 * [backup-simplify]: Simplify n into n 11.992 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.992 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 11.992 * [backup-simplify]: Simplify (- 1) into -1 11.993 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.993 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.993 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 11.993 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 11.993 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.993 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.993 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.993 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.993 * [taylor]: Taking taylor expansion of 0.5 in n 11.993 * [backup-simplify]: Simplify 0.5 into 0.5 11.993 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.993 * [taylor]: Taking taylor expansion of 1.0 in n 11.993 * [backup-simplify]: Simplify 1.0 into 1.0 11.993 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.993 * [taylor]: Taking taylor expansion of k in n 11.993 * [backup-simplify]: Simplify k into k 11.993 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.993 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.993 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.993 * [taylor]: Taking taylor expansion of n in n 11.993 * [backup-simplify]: Simplify 0 into 0 11.994 * [backup-simplify]: Simplify 1 into 1 11.994 * [backup-simplify]: Simplify (/ 1 1) into 1 11.994 * [backup-simplify]: Simplify (log 1) into 0 11.994 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.994 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.994 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.994 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.995 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.995 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.995 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.995 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.995 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.995 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.995 * [taylor]: Taking taylor expansion of 0.5 in n 11.995 * [backup-simplify]: Simplify 0.5 into 0.5 11.995 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.995 * [taylor]: Taking taylor expansion of 1.0 in n 11.995 * [backup-simplify]: Simplify 1.0 into 1.0 11.995 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.995 * [taylor]: Taking taylor expansion of k in n 11.995 * [backup-simplify]: Simplify k into k 11.995 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.995 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.995 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.995 * [taylor]: Taking taylor expansion of n in n 11.995 * [backup-simplify]: Simplify 0 into 0 11.995 * [backup-simplify]: Simplify 1 into 1 11.995 * [backup-simplify]: Simplify (/ 1 1) into 1 11.996 * [backup-simplify]: Simplify (log 1) into 0 11.996 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.996 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.996 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.996 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.996 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.996 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.996 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 11.996 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 11.996 * [taylor]: Taking taylor expansion of -0.5 in k 11.996 * [backup-simplify]: Simplify -0.5 into -0.5 11.996 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 11.996 * [taylor]: Taking taylor expansion of (log n) in k 11.997 * [taylor]: Taking taylor expansion of n in k 11.997 * [backup-simplify]: Simplify n into n 11.997 * [backup-simplify]: Simplify (log n) into (log n) 11.997 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.997 * [taylor]: Taking taylor expansion of 1.0 in k 11.997 * [backup-simplify]: Simplify 1.0 into 1.0 11.997 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.997 * [taylor]: Taking taylor expansion of k in k 11.997 * [backup-simplify]: Simplify 0 into 0 11.997 * [backup-simplify]: Simplify 1 into 1 11.997 * [backup-simplify]: Simplify (/ 1 1) into 1 11.997 * [backup-simplify]: Simplify (- 1) into -1 11.997 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.997 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 11.998 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 11.998 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.998 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.999 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.999 * [backup-simplify]: Simplify (- 0) into 0 12.000 * [backup-simplify]: Simplify (+ 0 0) into 0 12.000 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 12.000 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.000 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 12.001 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.001 * [taylor]: Taking taylor expansion of 0 in k 12.001 * [backup-simplify]: Simplify 0 into 0 12.001 * [backup-simplify]: Simplify 0 into 0 12.001 * [backup-simplify]: Simplify 0 into 0 12.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.003 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.004 * [backup-simplify]: Simplify (- 0) into 0 12.004 * [backup-simplify]: Simplify (+ 0 0) into 0 12.005 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 12.005 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.006 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 12.007 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.007 * [taylor]: Taking taylor expansion of 0 in k 12.007 * [backup-simplify]: Simplify 0 into 0 12.007 * [backup-simplify]: Simplify 0 into 0 12.007 * [backup-simplify]: Simplify 0 into 0 12.008 * [backup-simplify]: Simplify 0 into 0 12.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.023 * [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 12.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.024 * [backup-simplify]: Simplify (- 0) into 0 12.024 * [backup-simplify]: Simplify (+ 0 0) into 0 12.026 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 12.026 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.027 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 12.029 * [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 12.029 * [taylor]: Taking taylor expansion of 0 in k 12.029 * [backup-simplify]: Simplify 0 into 0 12.029 * [backup-simplify]: Simplify 0 into 0 12.030 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 12.030 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 12.030 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 12.030 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.030 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 12.030 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 12.030 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.030 * [taylor]: Taking taylor expansion of 0.5 in k 12.030 * [backup-simplify]: Simplify 0.5 into 0.5 12.030 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.030 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.030 * [taylor]: Taking taylor expansion of k in k 12.030 * [backup-simplify]: Simplify 0 into 0 12.030 * [backup-simplify]: Simplify 1 into 1 12.031 * [backup-simplify]: Simplify (/ 1 1) into 1 12.031 * [taylor]: Taking taylor expansion of 1.0 in k 12.031 * [backup-simplify]: Simplify 1.0 into 1.0 12.031 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 12.031 * [taylor]: Taking taylor expansion of (/ -1 n) in k 12.031 * [taylor]: Taking taylor expansion of -1 in k 12.031 * [backup-simplify]: Simplify -1 into -1 12.031 * [taylor]: Taking taylor expansion of n in k 12.031 * [backup-simplify]: Simplify n into n 12.031 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 12.031 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 12.032 * [backup-simplify]: Simplify (+ 1 0) into 1 12.032 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.032 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 12.032 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 12.032 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.032 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 12.032 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 12.032 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.032 * [taylor]: Taking taylor expansion of 0.5 in n 12.032 * [backup-simplify]: Simplify 0.5 into 0.5 12.032 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.032 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.032 * [taylor]: Taking taylor expansion of k in n 12.032 * [backup-simplify]: Simplify k into k 12.032 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.032 * [taylor]: Taking taylor expansion of 1.0 in n 12.032 * [backup-simplify]: Simplify 1.0 into 1.0 12.032 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.032 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.032 * [taylor]: Taking taylor expansion of -1 in n 12.032 * [backup-simplify]: Simplify -1 into -1 12.032 * [taylor]: Taking taylor expansion of n in n 12.033 * [backup-simplify]: Simplify 0 into 0 12.033 * [backup-simplify]: Simplify 1 into 1 12.033 * [backup-simplify]: Simplify (/ -1 1) into -1 12.033 * [backup-simplify]: Simplify (log -1) into (log -1) 12.033 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.033 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.034 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.034 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.035 * [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)))) 12.035 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.035 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 12.035 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 12.035 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.035 * [taylor]: Taking taylor expansion of 0.5 in n 12.035 * [backup-simplify]: Simplify 0.5 into 0.5 12.035 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.035 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.035 * [taylor]: Taking taylor expansion of k in n 12.035 * [backup-simplify]: Simplify k into k 12.035 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.035 * [taylor]: Taking taylor expansion of 1.0 in n 12.035 * [backup-simplify]: Simplify 1.0 into 1.0 12.035 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.035 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.035 * [taylor]: Taking taylor expansion of -1 in n 12.035 * [backup-simplify]: Simplify -1 into -1 12.035 * [taylor]: Taking taylor expansion of n in n 12.035 * [backup-simplify]: Simplify 0 into 0 12.035 * [backup-simplify]: Simplify 1 into 1 12.035 * [backup-simplify]: Simplify (/ -1 1) into -1 12.035 * [backup-simplify]: Simplify (log -1) into (log -1) 12.036 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.036 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.036 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.037 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.037 * [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)))) 12.037 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 12.037 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 12.037 * [taylor]: Taking taylor expansion of 0.5 in k 12.037 * [backup-simplify]: Simplify 0.5 into 0.5 12.037 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 12.037 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 12.037 * [taylor]: Taking taylor expansion of (log -1) in k 12.037 * [taylor]: Taking taylor expansion of -1 in k 12.037 * [backup-simplify]: Simplify -1 into -1 12.037 * [backup-simplify]: Simplify (log -1) into (log -1) 12.037 * [taylor]: Taking taylor expansion of (log n) in k 12.037 * [taylor]: Taking taylor expansion of n in k 12.038 * [backup-simplify]: Simplify n into n 12.038 * [backup-simplify]: Simplify (log n) into (log n) 12.038 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) 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 12.038 * [taylor]: Taking taylor expansion of 1.0 in k 12.038 * [backup-simplify]: Simplify 1.0 into 1.0 12.038 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 12.038 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 12.039 * [backup-simplify]: Simplify (+ 1 0) into 1 12.039 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 12.039 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 12.040 * [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)))) 12.040 * [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)))) 12.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 12.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.042 * [backup-simplify]: Simplify (+ 0 0) into 0 12.042 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 12.043 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.043 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 12.044 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.044 * [taylor]: Taking taylor expansion of 0 in k 12.044 * [backup-simplify]: Simplify 0 into 0 12.044 * [backup-simplify]: Simplify 0 into 0 12.044 * [backup-simplify]: Simplify 0 into 0 12.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.046 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 12.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.047 * [backup-simplify]: Simplify (+ 0 0) into 0 12.047 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 12.048 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.048 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 12.049 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.049 * [taylor]: Taking taylor expansion of 0 in k 12.049 * [backup-simplify]: Simplify 0 into 0 12.049 * [backup-simplify]: Simplify 0 into 0 12.050 * [backup-simplify]: Simplify 0 into 0 12.050 * [backup-simplify]: Simplify 0 into 0 12.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.053 * [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 12.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.054 * [backup-simplify]: Simplify (+ 0 0) into 0 12.054 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 12.055 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.056 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 12.057 * [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 12.057 * [taylor]: Taking taylor expansion of 0 in k 12.057 * [backup-simplify]: Simplify 0 into 0 12.057 * [backup-simplify]: Simplify 0 into 0 12.058 * [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)))))) 12.058 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 12.058 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) 12.058 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k) around 0 12.058 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 12.058 * [taylor]: Taking taylor expansion of 1.0 in k 12.058 * [backup-simplify]: Simplify 1.0 into 1.0 12.058 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 12.058 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.058 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.058 * [taylor]: Taking taylor expansion of k in k 12.058 * [backup-simplify]: Simplify 0 into 0 12.058 * [backup-simplify]: Simplify 1 into 1 12.059 * [backup-simplify]: Simplify (/ 1 1) into 1 12.059 * [backup-simplify]: Simplify (sqrt 0) into 0 12.060 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.060 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 12.060 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 12.060 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 12.060 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 12.060 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.060 * [taylor]: Taking taylor expansion of 0.5 in k 12.060 * [backup-simplify]: Simplify 0.5 into 0.5 12.060 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.060 * [taylor]: Taking taylor expansion of 1.0 in k 12.060 * [backup-simplify]: Simplify 1.0 into 1.0 12.060 * [taylor]: Taking taylor expansion of k in k 12.060 * [backup-simplify]: Simplify 0 into 0 12.060 * [backup-simplify]: Simplify 1 into 1 12.060 * [taylor]: Taking taylor expansion of (log PI) in k 12.060 * [taylor]: Taking taylor expansion of PI in k 12.060 * [backup-simplify]: Simplify PI into PI 12.060 * [backup-simplify]: Simplify (log PI) into (log PI) 12.060 * [backup-simplify]: Simplify (- 0) into 0 12.061 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.061 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.062 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.063 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 12.063 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 12.063 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 12.063 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 12.063 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.063 * [taylor]: Taking taylor expansion of 0.5 in k 12.063 * [backup-simplify]: Simplify 0.5 into 0.5 12.063 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.063 * [taylor]: Taking taylor expansion of 1.0 in k 12.063 * [backup-simplify]: Simplify 1.0 into 1.0 12.063 * [taylor]: Taking taylor expansion of k in k 12.063 * [backup-simplify]: Simplify 0 into 0 12.063 * [backup-simplify]: Simplify 1 into 1 12.063 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.063 * [taylor]: Taking taylor expansion of 2.0 in k 12.063 * [backup-simplify]: Simplify 2.0 into 2.0 12.063 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.063 * [backup-simplify]: Simplify (- 0) into 0 12.064 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.064 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.065 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.067 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 12.067 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 12.067 * [taylor]: Taking taylor expansion of 1.0 in k 12.067 * [backup-simplify]: Simplify 1.0 into 1.0 12.067 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 12.067 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.067 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.067 * [taylor]: Taking taylor expansion of k in k 12.067 * [backup-simplify]: Simplify 0 into 0 12.067 * [backup-simplify]: Simplify 1 into 1 12.067 * [backup-simplify]: Simplify (/ 1 1) into 1 12.068 * [backup-simplify]: Simplify (sqrt 0) into 0 12.068 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.069 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 12.069 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 12.069 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 12.069 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 12.069 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.069 * [taylor]: Taking taylor expansion of 0.5 in k 12.069 * [backup-simplify]: Simplify 0.5 into 0.5 12.069 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.069 * [taylor]: Taking taylor expansion of 1.0 in k 12.069 * [backup-simplify]: Simplify 1.0 into 1.0 12.069 * [taylor]: Taking taylor expansion of k in k 12.069 * [backup-simplify]: Simplify 0 into 0 12.069 * [backup-simplify]: Simplify 1 into 1 12.069 * [taylor]: Taking taylor expansion of (log PI) in k 12.069 * [taylor]: Taking taylor expansion of PI in k 12.069 * [backup-simplify]: Simplify PI into PI 12.069 * [backup-simplify]: Simplify (log PI) into (log PI) 12.069 * [backup-simplify]: Simplify (- 0) into 0 12.070 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.070 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.070 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.071 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 12.071 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 12.071 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 12.071 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 12.071 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.071 * [taylor]: Taking taylor expansion of 0.5 in k 12.072 * [backup-simplify]: Simplify 0.5 into 0.5 12.072 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.072 * [taylor]: Taking taylor expansion of 1.0 in k 12.072 * [backup-simplify]: Simplify 1.0 into 1.0 12.072 * [taylor]: Taking taylor expansion of k in k 12.072 * [backup-simplify]: Simplify 0 into 0 12.072 * [backup-simplify]: Simplify 1 into 1 12.072 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.072 * [taylor]: Taking taylor expansion of 2.0 in k 12.072 * [backup-simplify]: Simplify 2.0 into 2.0 12.072 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.072 * [backup-simplify]: Simplify (- 0) into 0 12.072 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.073 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.073 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.074 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 12.075 * [backup-simplify]: Simplify (* (pow PI 0.5) (pow 2.0 0.5)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) 12.076 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) into 0 12.076 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.076 * [backup-simplify]: Simplify 0 into 0 12.077 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 12.077 * [backup-simplify]: Simplify (- 1) into -1 12.078 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.079 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 12.080 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 12.086 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) 12.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 12.087 * [backup-simplify]: Simplify (- 1) into -1 12.087 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.088 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 12.090 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 12.095 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 12.107 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (pow 2.0 0.5))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))))) 12.118 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 12.124 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 12.133 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 12.135 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 12.135 * [backup-simplify]: Simplify (- 0) into 0 12.136 * [backup-simplify]: Simplify (+ 0 0) into 0 12.136 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.137 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 12.144 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) 12.145 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 12.145 * [backup-simplify]: Simplify (- 0) into 0 12.146 * [backup-simplify]: Simplify (+ 0 0) into 0 12.146 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.147 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 12.154 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 12.173 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow 2.0 0.5)))) into (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))) 12.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.176 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.209 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 12.242 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) 12.261 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) 12.264 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 12.264 * [backup-simplify]: Simplify (- 0) into 0 12.265 * [backup-simplify]: Simplify (+ 0 0) into 0 12.265 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 12.266 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 12.275 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 3) 6)) (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5))) 12.278 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 12.278 * [backup-simplify]: Simplify (- 0) into 0 12.278 * [backup-simplify]: Simplify (+ 0 0) into 0 12.279 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 12.280 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log PI))))) into 0 12.289 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 3) 6)) (* (/ (pow (- (* 0.5 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) 12.329 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) (pow 2.0 0.5))))) into (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3))))))) 12.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.398 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))))))))))) 12.525 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) 12.605 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) 12.717 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) k) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) 12.718 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow PI (/ (- 1.0 (/ 1 k)) 2.0)))) into (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) 12.718 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in (k) around 0 12.718 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 12.718 * [taylor]: Taking taylor expansion of 1.0 in k 12.718 * [backup-simplify]: Simplify 1.0 into 1.0 12.718 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 12.718 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.718 * [taylor]: Taking taylor expansion of k in k 12.718 * [backup-simplify]: Simplify 0 into 0 12.718 * [backup-simplify]: Simplify 1 into 1 12.718 * [backup-simplify]: Simplify (sqrt 0) into 0 12.719 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.719 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 12.719 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 12.719 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 12.719 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 12.719 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.719 * [taylor]: Taking taylor expansion of 0.5 in k 12.719 * [backup-simplify]: Simplify 0.5 into 0.5 12.719 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.719 * [taylor]: Taking taylor expansion of 1.0 in k 12.719 * [backup-simplify]: Simplify 1.0 into 1.0 12.719 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.719 * [taylor]: Taking taylor expansion of k in k 12.719 * [backup-simplify]: Simplify 0 into 0 12.719 * [backup-simplify]: Simplify 1 into 1 12.720 * [backup-simplify]: Simplify (/ 1 1) into 1 12.720 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.720 * [taylor]: Taking taylor expansion of 2.0 in k 12.720 * [backup-simplify]: Simplify 2.0 into 2.0 12.720 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.720 * [backup-simplify]: Simplify (- 1) into -1 12.720 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.721 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.721 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 12.722 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 12.722 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.722 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.722 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.722 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.722 * [taylor]: Taking taylor expansion of 0.5 in k 12.722 * [backup-simplify]: Simplify 0.5 into 0.5 12.722 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.722 * [taylor]: Taking taylor expansion of 1.0 in k 12.722 * [backup-simplify]: Simplify 1.0 into 1.0 12.722 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.722 * [taylor]: Taking taylor expansion of k in k 12.722 * [backup-simplify]: Simplify 0 into 0 12.722 * [backup-simplify]: Simplify 1 into 1 12.722 * [backup-simplify]: Simplify (/ 1 1) into 1 12.722 * [taylor]: Taking taylor expansion of (log PI) in k 12.723 * [taylor]: Taking taylor expansion of PI in k 12.723 * [backup-simplify]: Simplify PI into PI 12.723 * [backup-simplify]: Simplify (log PI) into (log PI) 12.723 * [backup-simplify]: Simplify (- 1) into -1 12.723 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.724 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.724 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.725 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.725 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 12.725 * [taylor]: Taking taylor expansion of 1.0 in k 12.725 * [backup-simplify]: Simplify 1.0 into 1.0 12.725 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 12.725 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.725 * [taylor]: Taking taylor expansion of k in k 12.725 * [backup-simplify]: Simplify 0 into 0 12.725 * [backup-simplify]: Simplify 1 into 1 12.725 * [backup-simplify]: Simplify (sqrt 0) into 0 12.726 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.726 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 12.726 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 12.726 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 12.726 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 12.726 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.726 * [taylor]: Taking taylor expansion of 0.5 in k 12.726 * [backup-simplify]: Simplify 0.5 into 0.5 12.726 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.726 * [taylor]: Taking taylor expansion of 1.0 in k 12.726 * [backup-simplify]: Simplify 1.0 into 1.0 12.726 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.726 * [taylor]: Taking taylor expansion of k in k 12.726 * [backup-simplify]: Simplify 0 into 0 12.726 * [backup-simplify]: Simplify 1 into 1 12.726 * [backup-simplify]: Simplify (/ 1 1) into 1 12.726 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.726 * [taylor]: Taking taylor expansion of 2.0 in k 12.726 * [backup-simplify]: Simplify 2.0 into 2.0 12.727 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.727 * [backup-simplify]: Simplify (- 1) into -1 12.727 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.727 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.728 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 12.728 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 12.728 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.728 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.728 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.728 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.728 * [taylor]: Taking taylor expansion of 0.5 in k 12.728 * [backup-simplify]: Simplify 0.5 into 0.5 12.728 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.728 * [taylor]: Taking taylor expansion of 1.0 in k 12.728 * [backup-simplify]: Simplify 1.0 into 1.0 12.728 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.728 * [taylor]: Taking taylor expansion of k in k 12.728 * [backup-simplify]: Simplify 0 into 0 12.729 * [backup-simplify]: Simplify 1 into 1 12.729 * [backup-simplify]: Simplify (/ 1 1) into 1 12.729 * [taylor]: Taking taylor expansion of (log PI) in k 12.729 * [taylor]: Taking taylor expansion of PI in k 12.729 * [backup-simplify]: Simplify PI into PI 12.729 * [backup-simplify]: Simplify (log PI) into (log PI) 12.729 * [backup-simplify]: Simplify (- 1) into -1 12.730 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.730 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.730 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.731 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.731 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 12.732 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into 0 12.732 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.732 * [backup-simplify]: Simplify 0 into 0 12.733 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into 0 12.734 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.735 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.736 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.738 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 12.741 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.743 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.746 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.747 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.749 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 12.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.759 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.761 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.766 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) 12.767 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) 12.767 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 12.767 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 12.767 * [taylor]: Taking taylor expansion of 1.0 in k 12.767 * [backup-simplify]: Simplify 1.0 into 1.0 12.767 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 12.767 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 12.767 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 12.767 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 12.767 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 12.767 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.767 * [taylor]: Taking taylor expansion of 0.5 in k 12.767 * [backup-simplify]: Simplify 0.5 into 0.5 12.767 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.767 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.767 * [taylor]: Taking taylor expansion of k in k 12.767 * [backup-simplify]: Simplify 0 into 0 12.767 * [backup-simplify]: Simplify 1 into 1 12.768 * [backup-simplify]: Simplify (/ 1 1) into 1 12.768 * [taylor]: Taking taylor expansion of 1.0 in k 12.768 * [backup-simplify]: Simplify 1.0 into 1.0 12.768 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.768 * [taylor]: Taking taylor expansion of 2.0 in k 12.768 * [backup-simplify]: Simplify 2.0 into 2.0 12.768 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.769 * [backup-simplify]: Simplify (+ 1 0) into 1 12.769 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.770 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.771 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 12.771 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.771 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.771 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.771 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.771 * [taylor]: Taking taylor expansion of 0.5 in k 12.771 * [backup-simplify]: Simplify 0.5 into 0.5 12.771 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.771 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.771 * [taylor]: Taking taylor expansion of k in k 12.771 * [backup-simplify]: Simplify 0 into 0 12.771 * [backup-simplify]: Simplify 1 into 1 12.772 * [backup-simplify]: Simplify (/ 1 1) into 1 12.772 * [taylor]: Taking taylor expansion of 1.0 in k 12.772 * [backup-simplify]: Simplify 1.0 into 1.0 12.772 * [taylor]: Taking taylor expansion of (log PI) in k 12.772 * [taylor]: Taking taylor expansion of PI in k 12.772 * [backup-simplify]: Simplify PI into PI 12.772 * [backup-simplify]: Simplify (log PI) into (log PI) 12.773 * [backup-simplify]: Simplify (+ 1 0) into 1 12.773 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.774 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.775 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.775 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.775 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.775 * [taylor]: Taking taylor expansion of -1 in k 12.775 * [backup-simplify]: Simplify -1 into -1 12.775 * [taylor]: Taking taylor expansion of k in k 12.775 * [backup-simplify]: Simplify 0 into 0 12.775 * [backup-simplify]: Simplify 1 into 1 12.776 * [backup-simplify]: Simplify (/ -1 1) into -1 12.776 * [backup-simplify]: Simplify (sqrt 0) into 0 12.778 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.779 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 12.780 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.780 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 12.780 * [taylor]: Taking taylor expansion of 1.0 in k 12.780 * [backup-simplify]: Simplify 1.0 into 1.0 12.780 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 12.781 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 12.781 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 12.781 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 12.781 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 12.781 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.781 * [taylor]: Taking taylor expansion of 0.5 in k 12.781 * [backup-simplify]: Simplify 0.5 into 0.5 12.781 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.781 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.781 * [taylor]: Taking taylor expansion of k in k 12.781 * [backup-simplify]: Simplify 0 into 0 12.781 * [backup-simplify]: Simplify 1 into 1 12.781 * [backup-simplify]: Simplify (/ 1 1) into 1 12.781 * [taylor]: Taking taylor expansion of 1.0 in k 12.781 * [backup-simplify]: Simplify 1.0 into 1.0 12.781 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.781 * [taylor]: Taking taylor expansion of 2.0 in k 12.781 * [backup-simplify]: Simplify 2.0 into 2.0 12.782 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.782 * [backup-simplify]: Simplify (+ 1 0) into 1 12.783 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.784 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.784 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 12.784 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.784 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.784 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.784 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.784 * [taylor]: Taking taylor expansion of 0.5 in k 12.784 * [backup-simplify]: Simplify 0.5 into 0.5 12.784 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.784 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.785 * [taylor]: Taking taylor expansion of k in k 12.785 * [backup-simplify]: Simplify 0 into 0 12.785 * [backup-simplify]: Simplify 1 into 1 12.785 * [backup-simplify]: Simplify (/ 1 1) into 1 12.785 * [taylor]: Taking taylor expansion of 1.0 in k 12.785 * [backup-simplify]: Simplify 1.0 into 1.0 12.785 * [taylor]: Taking taylor expansion of (log PI) in k 12.785 * [taylor]: Taking taylor expansion of PI in k 12.785 * [backup-simplify]: Simplify PI into PI 12.786 * [backup-simplify]: Simplify (log PI) into (log PI) 12.786 * [backup-simplify]: Simplify (+ 1 0) into 1 12.786 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.787 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.788 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.788 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.788 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.788 * [taylor]: Taking taylor expansion of -1 in k 12.788 * [backup-simplify]: Simplify -1 into -1 12.788 * [taylor]: Taking taylor expansion of k in k 12.788 * [backup-simplify]: Simplify 0 into 0 12.788 * [backup-simplify]: Simplify 1 into 1 12.789 * [backup-simplify]: Simplify (/ -1 1) into -1 12.789 * [backup-simplify]: Simplify (sqrt 0) into 0 12.790 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.792 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 12.793 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.794 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.795 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.796 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))) into 0 12.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.800 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.802 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.805 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.806 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.808 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))))) into 0 12.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.821 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.825 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.829 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.831 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.836 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (/ 1 (- k))) (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) 12.836 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 12.836 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 12.836 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 12.836 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.836 * [taylor]: Taking taylor expansion of 1.0 in k 12.836 * [backup-simplify]: Simplify 1.0 into 1.0 12.836 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.836 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.836 * [taylor]: Taking taylor expansion of k in k 12.836 * [backup-simplify]: Simplify 0 into 0 12.836 * [backup-simplify]: Simplify 1 into 1 12.837 * [backup-simplify]: Simplify (/ 1 1) into 1 12.837 * [backup-simplify]: Simplify (sqrt 0) into 0 12.839 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.839 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.839 * [taylor]: Taking taylor expansion of 1.0 in k 12.839 * [backup-simplify]: Simplify 1.0 into 1.0 12.839 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.839 * [taylor]: Taking taylor expansion of k in k 12.839 * [backup-simplify]: Simplify 0 into 0 12.839 * [backup-simplify]: Simplify 1 into 1 12.839 * [backup-simplify]: Simplify (/ 1 1) into 1 12.840 * [backup-simplify]: Simplify (sqrt 0) into 0 12.841 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.841 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.841 * [backup-simplify]: Simplify 0 into 0 12.843 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.843 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.847 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.849 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.849 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.857 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.857 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.859 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 12.859 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 12.859 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 12.859 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.859 * [taylor]: Taking taylor expansion of 1.0 in k 12.859 * [backup-simplify]: Simplify 1.0 into 1.0 12.859 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.859 * [taylor]: Taking taylor expansion of k in k 12.859 * [backup-simplify]: Simplify 0 into 0 12.859 * [backup-simplify]: Simplify 1 into 1 12.859 * [backup-simplify]: Simplify (sqrt 0) into 0 12.860 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.860 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.860 * [taylor]: Taking taylor expansion of 1.0 in k 12.860 * [backup-simplify]: Simplify 1.0 into 1.0 12.860 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.860 * [taylor]: Taking taylor expansion of k in k 12.860 * [backup-simplify]: Simplify 0 into 0 12.860 * [backup-simplify]: Simplify 1 into 1 12.861 * [backup-simplify]: Simplify (sqrt 0) into 0 12.861 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.862 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.862 * [backup-simplify]: Simplify 0 into 0 12.863 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.863 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.865 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.866 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.866 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.869 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.870 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.871 * [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)))))))) 12.871 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 12.871 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 12.871 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.871 * [taylor]: Taking taylor expansion of 1.0 in k 12.871 * [backup-simplify]: Simplify 1.0 into 1.0 12.871 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.871 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.871 * [taylor]: Taking taylor expansion of -1 in k 12.871 * [backup-simplify]: Simplify -1 into -1 12.871 * [taylor]: Taking taylor expansion of k in k 12.871 * [backup-simplify]: Simplify 0 into 0 12.871 * [backup-simplify]: Simplify 1 into 1 12.872 * [backup-simplify]: Simplify (/ -1 1) into -1 12.872 * [backup-simplify]: Simplify (sqrt 0) into 0 12.873 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.873 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.873 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.873 * [taylor]: Taking taylor expansion of 1.0 in k 12.873 * [backup-simplify]: Simplify 1.0 into 1.0 12.873 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.873 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.873 * [taylor]: Taking taylor expansion of -1 in k 12.873 * [backup-simplify]: Simplify -1 into -1 12.873 * [taylor]: Taking taylor expansion of k in k 12.873 * [backup-simplify]: Simplify 0 into 0 12.873 * [backup-simplify]: Simplify 1 into 1 12.873 * [backup-simplify]: Simplify (/ -1 1) into -1 12.874 * [backup-simplify]: Simplify (sqrt 0) into 0 12.874 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.875 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.875 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.877 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.879 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 12.879 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.884 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 12.884 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.885 * [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))))) 12.885 * * * [progress]: simplifying candidates 12.889 * [simplify]: Simplifying: (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (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 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2.0))))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) 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(/ 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) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (- (+ (* 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)))))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) (- (+ (* +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))))) 12.901 * * [simplify]: Extracting # 0 : cost 0 12.901 * * [simplify]: Extracting # 1 : cost 0 12.902 * * [simplify]: Extracting # 2 : cost 0 12.903 * * [simplify]: Extracting # 3 : cost 0 12.904 * * [simplify]: Extracting # 4 : cost 0 12.905 * * [simplify]: Extracting # 5 : cost 0 12.906 * * [simplify]: Extracting # 6 : cost 0 12.907 * * [simplify]: Extracting # 7 : cost 0 12.908 * * [simplify]: Extracting # 8 : cost 0 12.910 * * [simplify]: Extracting # 9 : cost 0 12.911 * * [simplify]: Extracting # 10 : cost 0 12.912 * * [simplify]: Extracting # 11 : cost 0 12.913 * * [simplify]: Extracting # 12 : cost 0 12.914 * * [simplify]: Extracting # 13 : cost 0 12.916 * * [simplify]: Extracting # 14 : cost 0 12.917 * * [simplify]: Extracting # 15 : cost 0 12.918 * * [simplify]: Extracting # 16 : cost 0 12.919 * * [simplify]: Extracting # 17 : cost 0 12.920 * * [simplify]: Extracting # 18 : cost 0 12.922 * * [simplify]: Extracting # 19 : cost 0 12.923 * * [simplify]: Extracting # 20 : cost 0 12.924 * * [simplify]: Extracting # 21 : cost 0 12.924 * * [simplify]: Extracting # 22 : cost 0 12.925 * * [simplify]: Extracting # 23 : cost 0 12.926 * * [simplify]: Extracting # 24 : cost 0 12.926 * * [simplify]: Extracting # 25 : cost 0 12.927 * * [simplify]: Extracting # 26 : cost 0 12.934 * * [simplify]: Extracting # 27 : cost 0 12.934 * * [simplify]: Extracting # 28 : cost 0 12.935 * * [simplify]: Extracting # 29 : cost 0 12.935 * * [simplify]: Extracting # 30 : cost 0 12.936 * * [simplify]: Extracting # 31 : cost 0 12.936 * * [simplify]: Extracting # 32 : cost 0 12.937 * * [simplify]: Extracting # 33 : cost 0 12.938 * * [simplify]: iteration 0 : 384 enodes (cost 3225 ) 13.110 * * [simplify]: Extracting # 0 : cost 0 13.113 * * [simplify]: Extracting # 1 : cost 0 13.116 * * [simplify]: Extracting # 2 : cost 0 13.119 * * [simplify]: Extracting # 3 : cost 0 13.122 * * [simplify]: Extracting # 4 : cost 0 13.125 * * [simplify]: Extracting # 5 : cost 0 13.128 * * [simplify]: Extracting # 6 : cost 0 13.131 * * [simplify]: iteration 1 : 1040 enodes (cost 2900 ) 13.777 * * [simplify]: Extracting # 0 : cost 0 13.785 * * [simplify]: Extracting # 1 : cost 0 13.793 * * [simplify]: Extracting # 2 : cost 0 13.802 * * [simplify]: Extracting # 3 : cost 0 13.811 * * [simplify]: Extracting # 4 : cost 0 13.820 * * [simplify]: Extracting # 5 : cost 0 13.828 * * [simplify]: Extracting # 6 : cost 0 13.836 * * [simplify]: iteration 2 : 3308 enodes (cost 2698 ) 15.265 * * [simplify]: Extracting # 0 : cost 0 15.285 * * [simplify]: Extracting # 1 : cost 0 15.291 * * [simplify]: Extracting # 2 : cost 0 15.298 * * [simplify]: Extracting # 3 : cost 0 15.304 * * [simplify]: Extracting # 4 : cost 0 15.310 * * [simplify]: iteration done: 5001 enodes (cost 2678 ) 15.312 * [simplify]: Simplified to: (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (sqrt (- 1.0 k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (+ (sqrt 1.0) (sqrt k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI PI (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) 1 (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (pow (pow PI (/ (- 1.0 k) 2.0)) 3) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (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)) (expm1 (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log1p (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (exp (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (pow (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) 3) (/ (pow 1.0 3) (* (sqrt k) k))) (* (pow (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) 3) (/ (pow 1.0 3) (* (sqrt k) k))) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (pow PI (/ k 2.0))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) 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) (- (fma 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5)) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (pow (pow PI (- 1.0 k)) 0.5) (pow (pow PI (- 1.0 k)) 0.5) (- (fma 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)))) (pow (pow (/ 1 n) (- 1.0 k)) -0.5) (pow (exp (+ 0 (log n))) (* 0.5 (- 1.0 k))) (fma (- (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) +nan.0 (fma (pow k 2) (* (* (pow (log PI) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) +nan.0) (fma (- (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) +nan.0 (- (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (fma (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (* +nan.0 k) k) (fma (* (pow k 2) (log 2.0)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) +nan.0) (fma +nan.0 (- (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (* +nan.0 (- (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) (* (* k (log PI)) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (fma (- +nan.0) (/ (pow 2.0 (* 0.5 (- 1.0 k))) (/ (pow k 2) (pow (pow PI (- 1.0 k)) 0.5))) (* +nan.0 (- (/ (pow (pow PI (- 1.0 k)) 0.5) (/ k (pow 2.0 (* 0.5 (- 1.0 k))))) (/ (* (pow (pow PI (- 1.0 k)) 0.5) (pow 2.0 (* 0.5 (- 1.0 k)))) (pow k 3))))) (fma (- (* +nan.0 (pow 2.0 (* 0.5 (- 1.0 k))))) (pow (pow PI (- 1.0 k)) 0.5) (* +nan.0 (fma (/ (pow 2.0 (* 0.5 (- 1.0 k))) k) (pow (pow PI (- 1.0 k)) 0.5) (- (/ (pow 2.0 (* 0.5 (- 1.0 k))) (/ (pow k 2) (pow (pow PI (- 1.0 k)) 0.5))))))) (fma (- k) +nan.0 (fma (pow k 2) +nan.0 (- +nan.0))) (- (- (/ (/ +nan.0 k) k) (- (/ +nan.0 k) (/ +nan.0 (pow k 3))))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) +nan.0)) 15.313 * * * [progress]: adding candidates to table 16.267 * * [progress]: iteration 4 / 4 16.267 * * * [progress]: picking best candidate 16.309 * * * * [pick]: Picked # 16.310 * * * [progress]: localizing error 16.362 * * * [progress]: generating rewritten candidates 16.362 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 16.378 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 16.403 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 16.427 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 16.497 * * * [progress]: generating series expansions 16.497 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 16.497 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 16.497 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 16.497 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 16.497 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 16.497 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 16.497 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.497 * [taylor]: Taking taylor expansion of 0.5 in k 16.497 * [backup-simplify]: Simplify 0.5 into 0.5 16.497 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.497 * [taylor]: Taking taylor expansion of 1.0 in k 16.497 * [backup-simplify]: Simplify 1.0 into 1.0 16.497 * [taylor]: Taking taylor expansion of k in k 16.497 * [backup-simplify]: Simplify 0 into 0 16.497 * [backup-simplify]: Simplify 1 into 1 16.497 * [taylor]: Taking taylor expansion of (log PI) in k 16.497 * [taylor]: Taking taylor expansion of PI in k 16.497 * [backup-simplify]: Simplify PI into PI 16.498 * [backup-simplify]: Simplify (log PI) into (log PI) 16.498 * [backup-simplify]: Simplify (- 0) into 0 16.499 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.499 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.500 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 16.501 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 16.501 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 16.501 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 16.501 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 16.501 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.501 * [taylor]: Taking taylor expansion of 0.5 in k 16.501 * [backup-simplify]: Simplify 0.5 into 0.5 16.501 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.501 * [taylor]: Taking taylor expansion of 1.0 in k 16.501 * [backup-simplify]: Simplify 1.0 into 1.0 16.501 * [taylor]: Taking taylor expansion of k in k 16.501 * [backup-simplify]: Simplify 0 into 0 16.501 * [backup-simplify]: Simplify 1 into 1 16.501 * [taylor]: Taking taylor expansion of (log PI) in k 16.501 * [taylor]: Taking taylor expansion of PI in k 16.501 * [backup-simplify]: Simplify PI into PI 16.502 * [backup-simplify]: Simplify (log PI) into (log PI) 16.502 * [backup-simplify]: Simplify (- 0) into 0 16.502 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.503 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.503 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 16.504 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 16.505 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 16.506 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 16.506 * [backup-simplify]: Simplify (- 1) into -1 16.506 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.507 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 16.509 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 16.514 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 16.516 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 16.518 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 16.518 * [backup-simplify]: Simplify (- 0) into 0 16.519 * [backup-simplify]: Simplify (+ 0 0) into 0 16.519 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 16.520 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 16.527 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 16.530 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 16.536 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 16.536 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 16.536 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 16.536 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 16.536 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 16.536 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 16.536 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.536 * [taylor]: Taking taylor expansion of 0.5 in k 16.536 * [backup-simplify]: Simplify 0.5 into 0.5 16.536 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.536 * [taylor]: Taking taylor expansion of 1.0 in k 16.536 * [backup-simplify]: Simplify 1.0 into 1.0 16.536 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.536 * [taylor]: Taking taylor expansion of k in k 16.536 * [backup-simplify]: Simplify 0 into 0 16.536 * [backup-simplify]: Simplify 1 into 1 16.537 * [backup-simplify]: Simplify (/ 1 1) into 1 16.537 * [taylor]: Taking taylor expansion of (log PI) in k 16.537 * [taylor]: Taking taylor expansion of PI in k 16.537 * [backup-simplify]: Simplify PI into PI 16.537 * [backup-simplify]: Simplify (log PI) into (log PI) 16.537 * [backup-simplify]: Simplify (- 1) into -1 16.537 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.538 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.538 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 16.539 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 16.539 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 16.539 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 16.539 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 16.539 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.539 * [taylor]: Taking taylor expansion of 0.5 in k 16.539 * [backup-simplify]: Simplify 0.5 into 0.5 16.539 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.539 * [taylor]: Taking taylor expansion of 1.0 in k 16.539 * [backup-simplify]: Simplify 1.0 into 1.0 16.539 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.539 * [taylor]: Taking taylor expansion of k in k 16.539 * [backup-simplify]: Simplify 0 into 0 16.539 * [backup-simplify]: Simplify 1 into 1 16.539 * [backup-simplify]: Simplify (/ 1 1) into 1 16.539 * [taylor]: Taking taylor expansion of (log PI) in k 16.539 * [taylor]: Taking taylor expansion of PI in k 16.539 * [backup-simplify]: Simplify PI into PI 16.540 * [backup-simplify]: Simplify (log PI) into (log PI) 16.540 * [backup-simplify]: Simplify (- 1) into -1 16.540 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.540 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.541 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 16.541 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 16.542 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 16.542 * [backup-simplify]: Simplify 0 into 0 16.542 * [backup-simplify]: Simplify 0 into 0 16.542 * [backup-simplify]: Simplify 0 into 0 16.542 * [backup-simplify]: Simplify 0 into 0 16.542 * [backup-simplify]: Simplify 0 into 0 16.542 * [backup-simplify]: Simplify 0 into 0 16.542 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 16.543 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 16.543 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 16.543 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 16.543 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 16.543 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 16.543 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.543 * [taylor]: Taking taylor expansion of 0.5 in k 16.543 * [backup-simplify]: Simplify 0.5 into 0.5 16.543 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.543 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.543 * [taylor]: Taking taylor expansion of k in k 16.543 * [backup-simplify]: Simplify 0 into 0 16.543 * [backup-simplify]: Simplify 1 into 1 16.543 * [backup-simplify]: Simplify (/ 1 1) into 1 16.543 * [taylor]: Taking taylor expansion of 1.0 in k 16.543 * [backup-simplify]: Simplify 1.0 into 1.0 16.543 * [taylor]: Taking taylor expansion of (log PI) in k 16.543 * [taylor]: Taking taylor expansion of PI in k 16.543 * [backup-simplify]: Simplify PI into PI 16.543 * [backup-simplify]: Simplify (log PI) into (log PI) 16.544 * [backup-simplify]: Simplify (+ 1 0) into 1 16.544 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.545 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 16.545 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 16.545 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 16.545 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 16.545 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 16.545 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.545 * [taylor]: Taking taylor expansion of 0.5 in k 16.545 * [backup-simplify]: Simplify 0.5 into 0.5 16.545 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.545 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.545 * [taylor]: Taking taylor expansion of k in k 16.545 * [backup-simplify]: Simplify 0 into 0 16.545 * [backup-simplify]: Simplify 1 into 1 16.546 * [backup-simplify]: Simplify (/ 1 1) into 1 16.546 * [taylor]: Taking taylor expansion of 1.0 in k 16.546 * [backup-simplify]: Simplify 1.0 into 1.0 16.546 * [taylor]: Taking taylor expansion of (log PI) in k 16.546 * [taylor]: Taking taylor expansion of PI in k 16.546 * [backup-simplify]: Simplify PI into PI 16.546 * [backup-simplify]: Simplify (log PI) into (log PI) 16.546 * [backup-simplify]: Simplify (+ 1 0) into 1 16.546 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.547 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 16.547 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 16.548 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 16.548 * [backup-simplify]: Simplify 0 into 0 16.548 * [backup-simplify]: Simplify 0 into 0 16.548 * [backup-simplify]: Simplify 0 into 0 16.548 * [backup-simplify]: Simplify 0 into 0 16.548 * [backup-simplify]: Simplify 0 into 0 16.548 * [backup-simplify]: Simplify 0 into 0 16.548 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 16.549 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 16.549 * [backup-simplify]: Simplify (pow n (/ (/ (- 1.0 k) 2.0) 2)) into (pow n (* 0.25 (- 1.0 k))) 16.549 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 16.549 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 16.549 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 16.549 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 16.549 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 16.549 * [taylor]: Taking taylor expansion of 0.25 in k 16.549 * [backup-simplify]: Simplify 0.25 into 0.25 16.549 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.549 * [taylor]: Taking taylor expansion of 1.0 in k 16.549 * [backup-simplify]: Simplify 1.0 into 1.0 16.549 * [taylor]: Taking taylor expansion of k in k 16.549 * [backup-simplify]: Simplify 0 into 0 16.549 * [backup-simplify]: Simplify 1 into 1 16.549 * [taylor]: Taking taylor expansion of (log n) in k 16.549 * [taylor]: Taking taylor expansion of n in k 16.549 * [backup-simplify]: Simplify n into n 16.549 * [backup-simplify]: Simplify (log n) into (log n) 16.549 * [backup-simplify]: Simplify (- 0) into 0 16.550 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.550 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 16.550 * [backup-simplify]: Simplify (* 0.25 (log n)) into (* 0.25 (log n)) 16.550 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 16.550 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 16.550 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 16.550 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 16.550 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 16.550 * [taylor]: Taking taylor expansion of 0.25 in n 16.550 * [backup-simplify]: Simplify 0.25 into 0.25 16.550 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.550 * [taylor]: Taking taylor expansion of 1.0 in n 16.550 * [backup-simplify]: Simplify 1.0 into 1.0 16.550 * [taylor]: Taking taylor expansion of k in n 16.550 * [backup-simplify]: Simplify k into k 16.550 * [taylor]: Taking taylor expansion of (log n) in n 16.550 * [taylor]: Taking taylor expansion of n in n 16.550 * [backup-simplify]: Simplify 0 into 0 16.550 * [backup-simplify]: Simplify 1 into 1 16.553 * [backup-simplify]: Simplify (log 1) into 0 16.553 * [backup-simplify]: Simplify (- k) into (- k) 16.553 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.553 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 16.553 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.553 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 16.554 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 16.554 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 16.554 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 16.554 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 16.554 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 16.554 * [taylor]: Taking taylor expansion of 0.25 in n 16.554 * [backup-simplify]: Simplify 0.25 into 0.25 16.554 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.554 * [taylor]: Taking taylor expansion of 1.0 in n 16.554 * [backup-simplify]: Simplify 1.0 into 1.0 16.554 * [taylor]: Taking taylor expansion of k in n 16.554 * [backup-simplify]: Simplify k into k 16.554 * [taylor]: Taking taylor expansion of (log n) in n 16.554 * [taylor]: Taking taylor expansion of n in n 16.554 * [backup-simplify]: Simplify 0 into 0 16.554 * [backup-simplify]: Simplify 1 into 1 16.554 * [backup-simplify]: Simplify (log 1) into 0 16.554 * [backup-simplify]: Simplify (- k) into (- k) 16.554 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.554 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 16.555 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.555 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 16.555 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 16.555 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 16.555 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 16.555 * [taylor]: Taking taylor expansion of 0.25 in k 16.555 * [backup-simplify]: Simplify 0.25 into 0.25 16.555 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 16.555 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.555 * [taylor]: Taking taylor expansion of 1.0 in k 16.555 * [backup-simplify]: Simplify 1.0 into 1.0 16.555 * [taylor]: Taking taylor expansion of k in k 16.555 * [backup-simplify]: Simplify 0 into 0 16.555 * [backup-simplify]: Simplify 1 into 1 16.555 * [taylor]: Taking taylor expansion of (log n) in k 16.555 * [taylor]: Taking taylor expansion of n in k 16.555 * [backup-simplify]: Simplify n into n 16.555 * [backup-simplify]: Simplify (log n) into (log n) 16.556 * [backup-simplify]: Simplify (- 0) into 0 16.556 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.556 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.556 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (log n))) into (* 0.25 (log n)) 16.556 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 16.556 * [backup-simplify]: Simplify (pow n 0.25) into (pow n 0.25) 16.557 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.557 * [backup-simplify]: Simplify (- 0) into 0 16.558 * [backup-simplify]: Simplify (+ 0 0) into 0 16.558 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 16.558 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.558 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (log n))) into 0 16.559 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.559 * [taylor]: Taking taylor expansion of 0 in k 16.559 * [backup-simplify]: Simplify 0 into 0 16.559 * [backup-simplify]: Simplify 0 into 0 16.559 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 16.560 * [backup-simplify]: Simplify (- 1) into -1 16.560 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.560 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 16.560 * [backup-simplify]: Simplify (+ (* 0.25 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.25 (log n))) 16.561 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 1) 1)))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 16.561 * [backup-simplify]: Simplify (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 16.562 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.563 * [backup-simplify]: Simplify (- 0) into 0 16.563 * [backup-simplify]: Simplify (+ 0 0) into 0 16.563 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 16.564 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.564 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 16.575 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.575 * [taylor]: Taking taylor expansion of 0 in k 16.575 * [backup-simplify]: Simplify 0 into 0 16.575 * [backup-simplify]: Simplify 0 into 0 16.575 * [backup-simplify]: Simplify 0 into 0 16.577 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 16.578 * [backup-simplify]: Simplify (- 0) into 0 16.578 * [backup-simplify]: Simplify (+ 0 0) into 0 16.579 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 16.579 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 16.581 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 16.581 * [backup-simplify]: Simplify (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 16.582 * [backup-simplify]: Simplify (+ (* (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (* k 1)) (pow n 0.25))) into (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) 16.582 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 16.582 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 16.582 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 16.582 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 16.583 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 16.583 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 16.583 * [taylor]: Taking taylor expansion of 0.25 in k 16.583 * [backup-simplify]: Simplify 0.25 into 0.25 16.583 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.583 * [taylor]: Taking taylor expansion of 1.0 in k 16.583 * [backup-simplify]: Simplify 1.0 into 1.0 16.583 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.583 * [taylor]: Taking taylor expansion of k in k 16.583 * [backup-simplify]: Simplify 0 into 0 16.583 * [backup-simplify]: Simplify 1 into 1 16.584 * [backup-simplify]: Simplify (/ 1 1) into 1 16.584 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 16.584 * [taylor]: Taking taylor expansion of (/ 1 n) in k 16.584 * [taylor]: Taking taylor expansion of n in k 16.584 * [backup-simplify]: Simplify n into n 16.584 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.584 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 16.584 * [backup-simplify]: Simplify (- 1) into -1 16.584 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.584 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 16.585 * [backup-simplify]: Simplify (* -0.25 (log (/ 1 n))) into (* -0.25 (log (/ 1 n))) 16.585 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 16.585 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 16.585 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 16.585 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 16.585 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 16.585 * [taylor]: Taking taylor expansion of 0.25 in n 16.585 * [backup-simplify]: Simplify 0.25 into 0.25 16.585 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.585 * [taylor]: Taking taylor expansion of 1.0 in n 16.585 * [backup-simplify]: Simplify 1.0 into 1.0 16.585 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.585 * [taylor]: Taking taylor expansion of k in n 16.585 * [backup-simplify]: Simplify k into k 16.585 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.585 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.585 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.585 * [taylor]: Taking taylor expansion of n in n 16.585 * [backup-simplify]: Simplify 0 into 0 16.585 * [backup-simplify]: Simplify 1 into 1 16.585 * [backup-simplify]: Simplify (/ 1 1) into 1 16.586 * [backup-simplify]: Simplify (log 1) into 0 16.586 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.586 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.586 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 16.586 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.586 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 16.586 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.586 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 16.586 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 16.586 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 16.586 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 16.586 * [taylor]: Taking taylor expansion of 0.25 in n 16.586 * [backup-simplify]: Simplify 0.25 into 0.25 16.586 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.586 * [taylor]: Taking taylor expansion of 1.0 in n 16.586 * [backup-simplify]: Simplify 1.0 into 1.0 16.587 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.587 * [taylor]: Taking taylor expansion of k in n 16.587 * [backup-simplify]: Simplify k into k 16.587 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.587 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.587 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.587 * [taylor]: Taking taylor expansion of n in n 16.587 * [backup-simplify]: Simplify 0 into 0 16.587 * [backup-simplify]: Simplify 1 into 1 16.587 * [backup-simplify]: Simplify (/ 1 1) into 1 16.587 * [backup-simplify]: Simplify (log 1) into 0 16.587 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.587 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.587 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 16.588 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.588 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 16.588 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.588 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 16.588 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 16.588 * [taylor]: Taking taylor expansion of -0.25 in k 16.588 * [backup-simplify]: Simplify -0.25 into -0.25 16.588 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 16.588 * [taylor]: Taking taylor expansion of (log n) in k 16.588 * [taylor]: Taking taylor expansion of n in k 16.588 * [backup-simplify]: Simplify n into n 16.588 * [backup-simplify]: Simplify (log n) into (log n) 16.588 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.588 * [taylor]: Taking taylor expansion of 1.0 in k 16.588 * [backup-simplify]: Simplify 1.0 into 1.0 16.588 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.588 * [taylor]: Taking taylor expansion of k in k 16.588 * [backup-simplify]: Simplify 0 into 0 16.588 * [backup-simplify]: Simplify 1 into 1 16.588 * [backup-simplify]: Simplify (/ 1 1) into 1 16.589 * [backup-simplify]: Simplify (- 1) into -1 16.589 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.589 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 16.589 * [backup-simplify]: Simplify (* -0.25 (* -1 (log n))) into (* 0.25 (log n)) 16.589 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.589 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.591 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.591 * [backup-simplify]: Simplify (- 0) into 0 16.591 * [backup-simplify]: Simplify (+ 0 0) into 0 16.591 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.592 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.592 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 16.592 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.592 * [taylor]: Taking taylor expansion of 0 in k 16.592 * [backup-simplify]: Simplify 0 into 0 16.592 * [backup-simplify]: Simplify 0 into 0 16.592 * [backup-simplify]: Simplify 0 into 0 16.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.594 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.595 * [backup-simplify]: Simplify (- 0) into 0 16.595 * [backup-simplify]: Simplify (+ 0 0) into 0 16.596 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 16.596 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.596 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 16.597 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.597 * [taylor]: Taking taylor expansion of 0 in k 16.597 * [backup-simplify]: Simplify 0 into 0 16.597 * [backup-simplify]: Simplify 0 into 0 16.597 * [backup-simplify]: Simplify 0 into 0 16.597 * [backup-simplify]: Simplify 0 into 0 16.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.600 * [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 16.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.601 * [backup-simplify]: Simplify (- 0) into 0 16.601 * [backup-simplify]: Simplify (+ 0 0) into 0 16.602 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 16.602 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.603 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 16.604 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.604 * [taylor]: Taking taylor expansion of 0 in k 16.604 * [backup-simplify]: Simplify 0 into 0 16.604 * [backup-simplify]: Simplify 0 into 0 16.604 * [backup-simplify]: Simplify (exp (* -0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) 16.604 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 16.604 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 16.604 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 16.604 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 16.604 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 16.604 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 16.604 * [taylor]: Taking taylor expansion of 0.25 in k 16.604 * [backup-simplify]: Simplify 0.25 into 0.25 16.604 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.604 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.604 * [taylor]: Taking taylor expansion of k in k 16.604 * [backup-simplify]: Simplify 0 into 0 16.604 * [backup-simplify]: Simplify 1 into 1 16.605 * [backup-simplify]: Simplify (/ 1 1) into 1 16.605 * [taylor]: Taking taylor expansion of 1.0 in k 16.605 * [backup-simplify]: Simplify 1.0 into 1.0 16.605 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 16.605 * [taylor]: Taking taylor expansion of (/ -1 n) in k 16.605 * [taylor]: Taking taylor expansion of -1 in k 16.605 * [backup-simplify]: Simplify -1 into -1 16.605 * [taylor]: Taking taylor expansion of n in k 16.605 * [backup-simplify]: Simplify n into n 16.605 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 16.605 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 16.605 * [backup-simplify]: Simplify (+ 1 0) into 1 16.605 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 16.606 * [backup-simplify]: Simplify (* 0.25 (log (/ -1 n))) into (* 0.25 (log (/ -1 n))) 16.606 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 16.606 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 16.606 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 16.606 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 16.606 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 16.606 * [taylor]: Taking taylor expansion of 0.25 in n 16.606 * [backup-simplify]: Simplify 0.25 into 0.25 16.606 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.606 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.606 * [taylor]: Taking taylor expansion of k in n 16.606 * [backup-simplify]: Simplify k into k 16.606 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.606 * [taylor]: Taking taylor expansion of 1.0 in n 16.606 * [backup-simplify]: Simplify 1.0 into 1.0 16.606 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.606 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.606 * [taylor]: Taking taylor expansion of -1 in n 16.606 * [backup-simplify]: Simplify -1 into -1 16.606 * [taylor]: Taking taylor expansion of n in n 16.606 * [backup-simplify]: Simplify 0 into 0 16.606 * [backup-simplify]: Simplify 1 into 1 16.606 * [backup-simplify]: Simplify (/ -1 1) into -1 16.607 * [backup-simplify]: Simplify (log -1) into (log -1) 16.607 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.607 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 16.607 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.608 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.608 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.608 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 16.608 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 16.608 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 16.608 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 16.608 * [taylor]: Taking taylor expansion of 0.25 in n 16.608 * [backup-simplify]: Simplify 0.25 into 0.25 16.608 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.608 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.608 * [taylor]: Taking taylor expansion of k in n 16.608 * [backup-simplify]: Simplify k into k 16.608 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.608 * [taylor]: Taking taylor expansion of 1.0 in n 16.608 * [backup-simplify]: Simplify 1.0 into 1.0 16.608 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.608 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.608 * [taylor]: Taking taylor expansion of -1 in n 16.608 * [backup-simplify]: Simplify -1 into -1 16.608 * [taylor]: Taking taylor expansion of n in n 16.608 * [backup-simplify]: Simplify 0 into 0 16.608 * [backup-simplify]: Simplify 1 into 1 16.609 * [backup-simplify]: Simplify (/ -1 1) into -1 16.609 * [backup-simplify]: Simplify (log -1) into (log -1) 16.609 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.609 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 16.609 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.610 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.610 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.610 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 16.610 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 16.610 * [taylor]: Taking taylor expansion of 0.25 in k 16.610 * [backup-simplify]: Simplify 0.25 into 0.25 16.610 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 16.610 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 16.610 * [taylor]: Taking taylor expansion of (log -1) in k 16.610 * [taylor]: Taking taylor expansion of -1 in k 16.610 * [backup-simplify]: Simplify -1 into -1 16.611 * [backup-simplify]: Simplify (log -1) into (log -1) 16.611 * [taylor]: Taking taylor expansion of (log n) in k 16.611 * [taylor]: Taking taylor expansion of n in k 16.611 * [backup-simplify]: Simplify n into n 16.611 * [backup-simplify]: Simplify (log n) into (log n) 16.611 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.611 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.611 * [taylor]: Taking taylor expansion of k in k 16.611 * [backup-simplify]: Simplify 0 into 0 16.611 * [backup-simplify]: Simplify 1 into 1 16.611 * [backup-simplify]: Simplify (/ 1 1) into 1 16.611 * [taylor]: Taking taylor expansion of 1.0 in k 16.611 * [backup-simplify]: Simplify 1.0 into 1.0 16.611 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.611 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 16.612 * [backup-simplify]: Simplify (+ 1 0) into 1 16.612 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 16.612 * [backup-simplify]: Simplify (* 0.25 (- (log -1) (log n))) into (* 0.25 (- (log -1) (log n))) 16.613 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.613 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.615 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 16.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.615 * [backup-simplify]: Simplify (+ 0 0) into 0 16.615 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 16.616 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.617 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 16.618 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.618 * [taylor]: Taking taylor expansion of 0 in k 16.618 * [backup-simplify]: Simplify 0 into 0 16.618 * [backup-simplify]: Simplify 0 into 0 16.618 * [backup-simplify]: Simplify 0 into 0 16.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.622 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 16.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.623 * [backup-simplify]: Simplify (+ 0 0) into 0 16.623 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 16.624 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.625 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 16.627 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.627 * [taylor]: Taking taylor expansion of 0 in k 16.627 * [backup-simplify]: Simplify 0 into 0 16.627 * [backup-simplify]: Simplify 0 into 0 16.627 * [backup-simplify]: Simplify 0 into 0 16.627 * [backup-simplify]: Simplify 0 into 0 16.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.634 * [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 16.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.635 * [backup-simplify]: Simplify (+ 0 0) into 0 16.636 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 16.637 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.639 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 16.641 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (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 16.641 * [taylor]: Taking taylor expansion of 0 in k 16.641 * [backup-simplify]: Simplify 0 into 0 16.641 * [backup-simplify]: Simplify 0 into 0 16.642 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 16.642 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 16.642 * [backup-simplify]: Simplify (pow n (/ (/ (- 1.0 k) 2.0) 2)) into (pow n (* 0.25 (- 1.0 k))) 16.642 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 16.642 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 16.642 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 16.642 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 16.642 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 16.642 * [taylor]: Taking taylor expansion of 0.25 in k 16.642 * [backup-simplify]: Simplify 0.25 into 0.25 16.642 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.642 * [taylor]: Taking taylor expansion of 1.0 in k 16.643 * [backup-simplify]: Simplify 1.0 into 1.0 16.643 * [taylor]: Taking taylor expansion of k in k 16.643 * [backup-simplify]: Simplify 0 into 0 16.643 * [backup-simplify]: Simplify 1 into 1 16.643 * [taylor]: Taking taylor expansion of (log n) in k 16.643 * [taylor]: Taking taylor expansion of n in k 16.643 * [backup-simplify]: Simplify n into n 16.643 * [backup-simplify]: Simplify (log n) into (log n) 16.643 * [backup-simplify]: Simplify (- 0) into 0 16.643 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.644 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 16.644 * [backup-simplify]: Simplify (* 0.25 (log n)) into (* 0.25 (log n)) 16.644 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 16.644 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 16.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 16.644 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 16.644 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 16.644 * [taylor]: Taking taylor expansion of 0.25 in n 16.644 * [backup-simplify]: Simplify 0.25 into 0.25 16.644 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.644 * [taylor]: Taking taylor expansion of 1.0 in n 16.644 * [backup-simplify]: Simplify 1.0 into 1.0 16.644 * [taylor]: Taking taylor expansion of k in n 16.644 * [backup-simplify]: Simplify k into k 16.644 * [taylor]: Taking taylor expansion of (log n) in n 16.644 * [taylor]: Taking taylor expansion of n in n 16.644 * [backup-simplify]: Simplify 0 into 0 16.645 * [backup-simplify]: Simplify 1 into 1 16.645 * [backup-simplify]: Simplify (log 1) into 0 16.645 * [backup-simplify]: Simplify (- k) into (- k) 16.645 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.645 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 16.645 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.646 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 16.646 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 16.646 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 16.646 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 16.646 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 16.646 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 16.646 * [taylor]: Taking taylor expansion of 0.25 in n 16.646 * [backup-simplify]: Simplify 0.25 into 0.25 16.646 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.646 * [taylor]: Taking taylor expansion of 1.0 in n 16.646 * [backup-simplify]: Simplify 1.0 into 1.0 16.646 * [taylor]: Taking taylor expansion of k in n 16.646 * [backup-simplify]: Simplify k into k 16.646 * [taylor]: Taking taylor expansion of (log n) in n 16.646 * [taylor]: Taking taylor expansion of n in n 16.646 * [backup-simplify]: Simplify 0 into 0 16.646 * [backup-simplify]: Simplify 1 into 1 16.647 * [backup-simplify]: Simplify (log 1) into 0 16.647 * [backup-simplify]: Simplify (- k) into (- k) 16.647 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.647 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 16.647 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.647 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 16.647 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 16.648 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 16.648 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 16.648 * [taylor]: Taking taylor expansion of 0.25 in k 16.648 * [backup-simplify]: Simplify 0.25 into 0.25 16.648 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 16.648 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.648 * [taylor]: Taking taylor expansion of 1.0 in k 16.648 * [backup-simplify]: Simplify 1.0 into 1.0 16.648 * [taylor]: Taking taylor expansion of k in k 16.648 * [backup-simplify]: Simplify 0 into 0 16.648 * [backup-simplify]: Simplify 1 into 1 16.648 * [taylor]: Taking taylor expansion of (log n) in k 16.648 * [taylor]: Taking taylor expansion of n in k 16.648 * [backup-simplify]: Simplify n into n 16.648 * [backup-simplify]: Simplify (log n) into (log n) 16.648 * [backup-simplify]: Simplify (- 0) into 0 16.649 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.649 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.649 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (log n))) into (* 0.25 (log n)) 16.649 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 16.649 * [backup-simplify]: Simplify (pow n 0.25) into (pow n 0.25) 16.650 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.651 * [backup-simplify]: Simplify (- 0) into 0 16.651 * [backup-simplify]: Simplify (+ 0 0) into 0 16.652 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 16.652 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.652 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (log n))) into 0 16.653 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.653 * [taylor]: Taking taylor expansion of 0 in k 16.653 * [backup-simplify]: Simplify 0 into 0 16.653 * [backup-simplify]: Simplify 0 into 0 16.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 16.654 * [backup-simplify]: Simplify (- 1) into -1 16.655 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.655 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 16.656 * [backup-simplify]: Simplify (+ (* 0.25 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.25 (log n))) 16.656 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 1) 1)))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 16.656 * [backup-simplify]: Simplify (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 16.659 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.660 * [backup-simplify]: Simplify (- 0) into 0 16.660 * [backup-simplify]: Simplify (+ 0 0) into 0 16.661 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 16.661 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.662 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 16.664 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.664 * [taylor]: Taking taylor expansion of 0 in k 16.664 * [backup-simplify]: Simplify 0 into 0 16.664 * [backup-simplify]: Simplify 0 into 0 16.664 * [backup-simplify]: Simplify 0 into 0 16.666 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 16.666 * [backup-simplify]: Simplify (- 0) into 0 16.667 * [backup-simplify]: Simplify (+ 0 0) into 0 16.668 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 16.668 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 16.670 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 16.670 * [backup-simplify]: Simplify (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 16.671 * [backup-simplify]: Simplify (+ (* (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (* k 1)) (pow n 0.25))) into (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) 16.671 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 16.672 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 16.672 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 16.672 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 16.672 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 16.672 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 16.672 * [taylor]: Taking taylor expansion of 0.25 in k 16.672 * [backup-simplify]: Simplify 0.25 into 0.25 16.672 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.672 * [taylor]: Taking taylor expansion of 1.0 in k 16.672 * [backup-simplify]: Simplify 1.0 into 1.0 16.672 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.672 * [taylor]: Taking taylor expansion of k in k 16.672 * [backup-simplify]: Simplify 0 into 0 16.672 * [backup-simplify]: Simplify 1 into 1 16.672 * [backup-simplify]: Simplify (/ 1 1) into 1 16.672 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 16.672 * [taylor]: Taking taylor expansion of (/ 1 n) in k 16.672 * [taylor]: Taking taylor expansion of n in k 16.672 * [backup-simplify]: Simplify n into n 16.673 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.673 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 16.673 * [backup-simplify]: Simplify (- 1) into -1 16.673 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.674 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 16.674 * [backup-simplify]: Simplify (* -0.25 (log (/ 1 n))) into (* -0.25 (log (/ 1 n))) 16.674 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 16.674 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 16.674 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 16.674 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 16.674 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 16.674 * [taylor]: Taking taylor expansion of 0.25 in n 16.674 * [backup-simplify]: Simplify 0.25 into 0.25 16.675 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.675 * [taylor]: Taking taylor expansion of 1.0 in n 16.675 * [backup-simplify]: Simplify 1.0 into 1.0 16.675 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.675 * [taylor]: Taking taylor expansion of k in n 16.675 * [backup-simplify]: Simplify k into k 16.675 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.675 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.675 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.675 * [taylor]: Taking taylor expansion of n in n 16.675 * [backup-simplify]: Simplify 0 into 0 16.675 * [backup-simplify]: Simplify 1 into 1 16.675 * [backup-simplify]: Simplify (/ 1 1) into 1 16.676 * [backup-simplify]: Simplify (log 1) into 0 16.676 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.676 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.676 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 16.676 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.677 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 16.677 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.677 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 16.677 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 16.677 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 16.677 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 16.677 * [taylor]: Taking taylor expansion of 0.25 in n 16.677 * [backup-simplify]: Simplify 0.25 into 0.25 16.677 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.677 * [taylor]: Taking taylor expansion of 1.0 in n 16.677 * [backup-simplify]: Simplify 1.0 into 1.0 16.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.677 * [taylor]: Taking taylor expansion of k in n 16.677 * [backup-simplify]: Simplify k into k 16.677 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.677 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.677 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.677 * [taylor]: Taking taylor expansion of n in n 16.677 * [backup-simplify]: Simplify 0 into 0 16.677 * [backup-simplify]: Simplify 1 into 1 16.678 * [backup-simplify]: Simplify (/ 1 1) into 1 16.678 * [backup-simplify]: Simplify (log 1) into 0 16.678 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.678 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.679 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 16.679 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.679 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 16.679 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.680 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 16.680 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 16.680 * [taylor]: Taking taylor expansion of -0.25 in k 16.680 * [backup-simplify]: Simplify -0.25 into -0.25 16.680 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 16.680 * [taylor]: Taking taylor expansion of (log n) in k 16.680 * [taylor]: Taking taylor expansion of n in k 16.680 * [backup-simplify]: Simplify n into n 16.680 * [backup-simplify]: Simplify (log n) into (log n) 16.680 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.680 * [taylor]: Taking taylor expansion of 1.0 in k 16.680 * [backup-simplify]: Simplify 1.0 into 1.0 16.680 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.680 * [taylor]: Taking taylor expansion of k in k 16.680 * [backup-simplify]: Simplify 0 into 0 16.680 * [backup-simplify]: Simplify 1 into 1 16.681 * [backup-simplify]: Simplify (/ 1 1) into 1 16.681 * [backup-simplify]: Simplify (- 1) into -1 16.681 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.681 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 16.682 * [backup-simplify]: Simplify (* -0.25 (* -1 (log n))) into (* 0.25 (log n)) 16.682 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.682 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.684 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.685 * [backup-simplify]: Simplify (- 0) into 0 16.685 * [backup-simplify]: Simplify (+ 0 0) into 0 16.686 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.686 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.686 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 16.687 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.687 * [taylor]: Taking taylor expansion of 0 in k 16.687 * [backup-simplify]: Simplify 0 into 0 16.687 * [backup-simplify]: Simplify 0 into 0 16.687 * [backup-simplify]: Simplify 0 into 0 16.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.691 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.692 * [backup-simplify]: Simplify (- 0) into 0 16.692 * [backup-simplify]: Simplify (+ 0 0) into 0 16.693 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 16.694 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.694 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 16.696 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.696 * [taylor]: Taking taylor expansion of 0 in k 16.696 * [backup-simplify]: Simplify 0 into 0 16.696 * [backup-simplify]: Simplify 0 into 0 16.696 * [backup-simplify]: Simplify 0 into 0 16.696 * [backup-simplify]: Simplify 0 into 0 16.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.702 * [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 16.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.703 * [backup-simplify]: Simplify (- 0) into 0 16.703 * [backup-simplify]: Simplify (+ 0 0) into 0 16.705 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 16.705 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.706 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 16.708 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.708 * [taylor]: Taking taylor expansion of 0 in k 16.708 * [backup-simplify]: Simplify 0 into 0 16.708 * [backup-simplify]: Simplify 0 into 0 16.708 * [backup-simplify]: Simplify (exp (* -0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) 16.709 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 16.709 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 16.709 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 16.709 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 16.709 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 16.709 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 16.709 * [taylor]: Taking taylor expansion of 0.25 in k 16.709 * [backup-simplify]: Simplify 0.25 into 0.25 16.709 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.709 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.709 * [taylor]: Taking taylor expansion of k in k 16.709 * [backup-simplify]: Simplify 0 into 0 16.709 * [backup-simplify]: Simplify 1 into 1 16.710 * [backup-simplify]: Simplify (/ 1 1) into 1 16.710 * [taylor]: Taking taylor expansion of 1.0 in k 16.710 * [backup-simplify]: Simplify 1.0 into 1.0 16.710 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 16.710 * [taylor]: Taking taylor expansion of (/ -1 n) in k 16.710 * [taylor]: Taking taylor expansion of -1 in k 16.710 * [backup-simplify]: Simplify -1 into -1 16.710 * [taylor]: Taking taylor expansion of n in k 16.710 * [backup-simplify]: Simplify n into n 16.710 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 16.710 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 16.711 * [backup-simplify]: Simplify (+ 1 0) into 1 16.711 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 16.711 * [backup-simplify]: Simplify (* 0.25 (log (/ -1 n))) into (* 0.25 (log (/ -1 n))) 16.711 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 16.712 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 16.712 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 16.712 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 16.712 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 16.712 * [taylor]: Taking taylor expansion of 0.25 in n 16.712 * [backup-simplify]: Simplify 0.25 into 0.25 16.712 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.712 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.712 * [taylor]: Taking taylor expansion of k in n 16.712 * [backup-simplify]: Simplify k into k 16.712 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.712 * [taylor]: Taking taylor expansion of 1.0 in n 16.712 * [backup-simplify]: Simplify 1.0 into 1.0 16.712 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.712 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.712 * [taylor]: Taking taylor expansion of -1 in n 16.712 * [backup-simplify]: Simplify -1 into -1 16.712 * [taylor]: Taking taylor expansion of n in n 16.712 * [backup-simplify]: Simplify 0 into 0 16.712 * [backup-simplify]: Simplify 1 into 1 16.713 * [backup-simplify]: Simplify (/ -1 1) into -1 16.713 * [backup-simplify]: Simplify (log -1) into (log -1) 16.713 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.714 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 16.715 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.725 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.726 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.726 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 16.726 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 16.726 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 16.726 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 16.726 * [taylor]: Taking taylor expansion of 0.25 in n 16.726 * [backup-simplify]: Simplify 0.25 into 0.25 16.726 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.726 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.726 * [taylor]: Taking taylor expansion of k in n 16.726 * [backup-simplify]: Simplify k into k 16.726 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.726 * [taylor]: Taking taylor expansion of 1.0 in n 16.727 * [backup-simplify]: Simplify 1.0 into 1.0 16.727 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.727 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.727 * [taylor]: Taking taylor expansion of -1 in n 16.727 * [backup-simplify]: Simplify -1 into -1 16.727 * [taylor]: Taking taylor expansion of n in n 16.727 * [backup-simplify]: Simplify 0 into 0 16.727 * [backup-simplify]: Simplify 1 into 1 16.727 * [backup-simplify]: Simplify (/ -1 1) into -1 16.728 * [backup-simplify]: Simplify (log -1) into (log -1) 16.728 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.728 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 16.729 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.729 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.730 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.730 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 16.730 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 16.730 * [taylor]: Taking taylor expansion of 0.25 in k 16.730 * [backup-simplify]: Simplify 0.25 into 0.25 16.730 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 16.730 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 16.730 * [taylor]: Taking taylor expansion of (log -1) in k 16.730 * [taylor]: Taking taylor expansion of -1 in k 16.730 * [backup-simplify]: Simplify -1 into -1 16.731 * [backup-simplify]: Simplify (log -1) into (log -1) 16.731 * [taylor]: Taking taylor expansion of (log n) in k 16.731 * [taylor]: Taking taylor expansion of n in k 16.731 * [backup-simplify]: Simplify n into n 16.731 * [backup-simplify]: Simplify (log n) into (log n) 16.731 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.731 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.731 * [taylor]: Taking taylor expansion of k in k 16.731 * [backup-simplify]: Simplify 0 into 0 16.731 * [backup-simplify]: Simplify 1 into 1 16.731 * [backup-simplify]: Simplify (/ 1 1) into 1 16.732 * [taylor]: Taking taylor expansion of 1.0 in k 16.732 * [backup-simplify]: Simplify 1.0 into 1.0 16.732 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.732 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 16.733 * [backup-simplify]: Simplify (+ 1 0) into 1 16.733 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 16.734 * [backup-simplify]: Simplify (* 0.25 (- (log -1) (log n))) into (* 0.25 (- (log -1) (log n))) 16.734 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.735 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.737 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 16.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.738 * [backup-simplify]: Simplify (+ 0 0) into 0 16.739 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 16.740 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.741 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 16.743 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.743 * [taylor]: Taking taylor expansion of 0 in k 16.743 * [backup-simplify]: Simplify 0 into 0 16.743 * [backup-simplify]: Simplify 0 into 0 16.743 * [backup-simplify]: Simplify 0 into 0 16.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.747 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 16.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.748 * [backup-simplify]: Simplify (+ 0 0) into 0 16.749 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 16.749 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.751 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 16.753 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.753 * [taylor]: Taking taylor expansion of 0 in k 16.753 * [backup-simplify]: Simplify 0 into 0 16.753 * [backup-simplify]: Simplify 0 into 0 16.753 * [backup-simplify]: Simplify 0 into 0 16.753 * [backup-simplify]: Simplify 0 into 0 16.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.759 * [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 16.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.760 * [backup-simplify]: Simplify (+ 0 0) into 0 16.761 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 16.762 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.764 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 16.766 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (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 16.766 * [taylor]: Taking taylor expansion of 0 in k 16.766 * [backup-simplify]: Simplify 0 into 0 16.766 * [backup-simplify]: Simplify 0 into 0 16.767 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 16.767 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 16.768 * [backup-simplify]: Simplify (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) into (pow (pow n (* 0.25 (- 1.0 k))) 2) 16.768 * [approximate]: Taking taylor expansion of (pow (pow n (* 0.25 (- 1.0 k))) 2) in (n k) around 0 16.768 * [taylor]: Taking taylor expansion of (pow (pow n (* 0.25 (- 1.0 k))) 2) in k 16.768 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 16.768 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 16.768 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 16.768 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 16.768 * [taylor]: Taking taylor expansion of 0.25 in k 16.768 * [backup-simplify]: Simplify 0.25 into 0.25 16.768 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.768 * [taylor]: Taking taylor expansion of 1.0 in k 16.768 * [backup-simplify]: Simplify 1.0 into 1.0 16.768 * [taylor]: Taking taylor expansion of k in k 16.768 * [backup-simplify]: Simplify 0 into 0 16.768 * [backup-simplify]: Simplify 1 into 1 16.768 * [taylor]: Taking taylor expansion of (log n) in k 16.768 * [taylor]: Taking taylor expansion of n in k 16.768 * [backup-simplify]: Simplify n into n 16.768 * [backup-simplify]: Simplify (log n) into (log n) 16.769 * [backup-simplify]: Simplify (- 0) into 0 16.769 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.769 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 16.770 * [backup-simplify]: Simplify (* 0.25 (log n)) into (* 0.25 (log n)) 16.770 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 16.770 * [taylor]: Taking taylor expansion of (pow (pow n (* 0.25 (- 1.0 k))) 2) in n 16.770 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 16.770 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 16.770 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 16.770 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 16.770 * [taylor]: Taking taylor expansion of 0.25 in n 16.770 * [backup-simplify]: Simplify 0.25 into 0.25 16.770 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.770 * [taylor]: Taking taylor expansion of 1.0 in n 16.770 * [backup-simplify]: Simplify 1.0 into 1.0 16.770 * [taylor]: Taking taylor expansion of k in n 16.770 * [backup-simplify]: Simplify k into k 16.770 * [taylor]: Taking taylor expansion of (log n) in n 16.770 * [taylor]: Taking taylor expansion of n in n 16.770 * [backup-simplify]: Simplify 0 into 0 16.770 * [backup-simplify]: Simplify 1 into 1 16.771 * [backup-simplify]: Simplify (log 1) into 0 16.771 * [backup-simplify]: Simplify (- k) into (- k) 16.771 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.771 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 16.771 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.771 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 16.771 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 16.772 * [taylor]: Taking taylor expansion of (pow (pow n (* 0.25 (- 1.0 k))) 2) in n 16.772 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 16.772 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 16.772 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 16.772 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 16.772 * [taylor]: Taking taylor expansion of 0.25 in n 16.772 * [backup-simplify]: Simplify 0.25 into 0.25 16.772 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.772 * [taylor]: Taking taylor expansion of 1.0 in n 16.772 * [backup-simplify]: Simplify 1.0 into 1.0 16.772 * [taylor]: Taking taylor expansion of k in n 16.772 * [backup-simplify]: Simplify k into k 16.772 * [taylor]: Taking taylor expansion of (log n) in n 16.772 * [taylor]: Taking taylor expansion of n in n 16.772 * [backup-simplify]: Simplify 0 into 0 16.772 * [backup-simplify]: Simplify 1 into 1 16.772 * [backup-simplify]: Simplify (log 1) into 0 16.772 * [backup-simplify]: Simplify (- k) into (- k) 16.772 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.773 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 16.773 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.773 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 16.773 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 16.774 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (exp (* 0.25 (* (- 1.0 k) (log n))))) into (pow (exp (* 0.25 (* (- 1.0 k) (log n)))) 2) 16.774 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- 1.0 k) (log n)))) 2) in k 16.774 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 16.774 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 16.774 * [taylor]: Taking taylor expansion of 0.25 in k 16.774 * [backup-simplify]: Simplify 0.25 into 0.25 16.774 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 16.774 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.774 * [taylor]: Taking taylor expansion of 1.0 in k 16.774 * [backup-simplify]: Simplify 1.0 into 1.0 16.774 * [taylor]: Taking taylor expansion of k in k 16.774 * [backup-simplify]: Simplify 0 into 0 16.774 * [backup-simplify]: Simplify 1 into 1 16.774 * [taylor]: Taking taylor expansion of (log n) in k 16.774 * [taylor]: Taking taylor expansion of n in k 16.774 * [backup-simplify]: Simplify n into n 16.774 * [backup-simplify]: Simplify (log n) into (log n) 16.775 * [backup-simplify]: Simplify (- 0) into 0 16.775 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.775 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.775 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (log n))) into (* 0.25 (log n)) 16.775 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 16.776 * [backup-simplify]: Simplify (* (pow n 0.25) (pow n 0.25)) into (pow (pow n 1.0) 0.5) 16.776 * [backup-simplify]: Simplify (pow (pow n 1.0) 0.5) into (pow (pow n 1.0) 0.5) 16.777 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.778 * [backup-simplify]: Simplify (- 0) into 0 16.778 * [backup-simplify]: Simplify (+ 0 0) into 0 16.779 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 16.779 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.779 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (log n))) into 0 16.780 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.781 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- 1.0 k) (log n)))) 0) (* 0 (exp (* 0.25 (* (- 1.0 k) (log n)))))) into 0 16.781 * [taylor]: Taking taylor expansion of 0 in k 16.781 * [backup-simplify]: Simplify 0 into 0 16.781 * [backup-simplify]: Simplify 0 into 0 16.782 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 16.782 * [backup-simplify]: Simplify (- 1) into -1 16.782 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.783 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 16.783 * [backup-simplify]: Simplify (+ (* 0.25 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.25 (log n))) 16.783 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 1) 1)))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 16.784 * [backup-simplify]: Simplify (+ (* (pow n 0.25) (* -0.25 (* (pow (pow n 1.0) 0.25) (log n)))) (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (pow n 0.25))) into (- (* 0.5 (* (pow (pow n 1.0) 0.5) (log n)))) 16.785 * [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)))) 16.788 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.788 * [backup-simplify]: Simplify (- 0) into 0 16.789 * [backup-simplify]: Simplify (+ 0 0) into 0 16.789 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 16.790 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.790 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 16.792 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.792 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- 1.0 k) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- 1.0 k) (log n))))))) into 0 16.792 * [taylor]: Taking taylor expansion of 0 in k 16.792 * [backup-simplify]: Simplify 0 into 0 16.792 * [backup-simplify]: Simplify 0 into 0 16.792 * [backup-simplify]: Simplify 0 into 0 16.794 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 16.794 * [backup-simplify]: Simplify (- 0) into 0 16.795 * [backup-simplify]: Simplify (+ 0 0) into 0 16.796 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 16.796 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 16.797 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 16.799 * [backup-simplify]: Simplify (+ (* (pow n 0.25) (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2)))) (+ (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (* -0.25 (* (pow (pow n 1.0) 0.25) (log n)))) (* (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) (pow n 0.25)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 16.799 * [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))) 16.801 * [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 (pow n 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow (pow n 1.0) 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 16.801 * [backup-simplify]: Simplify (* (pow (/ 1 n) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (pow (/ 1 n) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2))) into (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) 16.801 * [approximate]: Taking taylor expansion of (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) in (n k) around 0 16.801 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 16.801 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 16.801 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 16.801 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 16.801 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 16.801 * [taylor]: Taking taylor expansion of 0.25 in k 16.801 * [backup-simplify]: Simplify 0.25 into 0.25 16.801 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.802 * [taylor]: Taking taylor expansion of 1.0 in k 16.802 * [backup-simplify]: Simplify 1.0 into 1.0 16.802 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.802 * [taylor]: Taking taylor expansion of k in k 16.802 * [backup-simplify]: Simplify 0 into 0 16.802 * [backup-simplify]: Simplify 1 into 1 16.802 * [backup-simplify]: Simplify (/ 1 1) into 1 16.802 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 16.802 * [taylor]: Taking taylor expansion of (/ 1 n) in k 16.802 * [taylor]: Taking taylor expansion of n in k 16.802 * [backup-simplify]: Simplify n into n 16.802 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.802 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 16.803 * [backup-simplify]: Simplify (- 1) into -1 16.803 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.804 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 16.804 * [backup-simplify]: Simplify (* -0.25 (log (/ 1 n))) into (* -0.25 (log (/ 1 n))) 16.804 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 16.804 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 16.804 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 16.804 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 16.804 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 16.804 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 16.804 * [taylor]: Taking taylor expansion of 0.25 in n 16.804 * [backup-simplify]: Simplify 0.25 into 0.25 16.804 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.804 * [taylor]: Taking taylor expansion of 1.0 in n 16.804 * [backup-simplify]: Simplify 1.0 into 1.0 16.804 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.804 * [taylor]: Taking taylor expansion of k in n 16.804 * [backup-simplify]: Simplify k into k 16.804 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.804 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.804 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.804 * [taylor]: Taking taylor expansion of n in n 16.805 * [backup-simplify]: Simplify 0 into 0 16.805 * [backup-simplify]: Simplify 1 into 1 16.805 * [backup-simplify]: Simplify (/ 1 1) into 1 16.805 * [backup-simplify]: Simplify (log 1) into 0 16.805 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.806 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.806 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 16.806 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.806 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 16.806 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.806 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 16.807 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 16.807 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 16.807 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 16.807 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 16.807 * [taylor]: Taking taylor expansion of 0.25 in n 16.807 * [backup-simplify]: Simplify 0.25 into 0.25 16.807 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.807 * [taylor]: Taking taylor expansion of 1.0 in n 16.807 * [backup-simplify]: Simplify 1.0 into 1.0 16.807 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.807 * [taylor]: Taking taylor expansion of k in n 16.807 * [backup-simplify]: Simplify k into k 16.807 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.807 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.807 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.807 * [taylor]: Taking taylor expansion of n in n 16.807 * [backup-simplify]: Simplify 0 into 0 16.807 * [backup-simplify]: Simplify 1 into 1 16.807 * [backup-simplify]: Simplify (/ 1 1) into 1 16.808 * [backup-simplify]: Simplify (log 1) into 0 16.808 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.808 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.808 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 16.809 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.809 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 16.809 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.809 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))) into (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) 16.809 * [taylor]: Taking taylor expansion of (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) in k 16.809 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 16.810 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 16.810 * [taylor]: Taking taylor expansion of -0.25 in k 16.810 * [backup-simplify]: Simplify -0.25 into -0.25 16.810 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 16.810 * [taylor]: Taking taylor expansion of (log n) in k 16.810 * [taylor]: Taking taylor expansion of n in k 16.810 * [backup-simplify]: Simplify n into n 16.810 * [backup-simplify]: Simplify (log n) into (log n) 16.810 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.810 * [taylor]: Taking taylor expansion of 1.0 in k 16.810 * [backup-simplify]: Simplify 1.0 into 1.0 16.810 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.810 * [taylor]: Taking taylor expansion of k in k 16.810 * [backup-simplify]: Simplify 0 into 0 16.810 * [backup-simplify]: Simplify 1 into 1 16.810 * [backup-simplify]: Simplify (/ 1 1) into 1 16.811 * [backup-simplify]: Simplify (- 1) into -1 16.811 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.811 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 16.811 * [backup-simplify]: Simplify (* -0.25 (* -1 (log n))) into (* 0.25 (log n)) 16.811 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 16.812 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))) into (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) 16.812 * [backup-simplify]: Simplify (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) into (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) 16.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.814 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.815 * [backup-simplify]: Simplify (- 0) into 0 16.815 * [backup-simplify]: Simplify (+ 0 0) into 0 16.816 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.817 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.817 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 16.818 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.818 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))))) into 0 16.818 * [taylor]: Taking taylor expansion of 0 in k 16.818 * [backup-simplify]: Simplify 0 into 0 16.818 * [backup-simplify]: Simplify 0 into 0 16.819 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))))) into 0 16.819 * [backup-simplify]: Simplify 0 into 0 16.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.823 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.824 * [backup-simplify]: Simplify (- 0) into 0 16.824 * [backup-simplify]: Simplify (+ 0 0) into 0 16.825 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 16.826 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.826 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 16.828 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.829 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))))) into 0 16.830 * [taylor]: Taking taylor expansion of 0 in k 16.830 * [backup-simplify]: Simplify 0 into 0 16.830 * [backup-simplify]: Simplify 0 into 0 16.830 * [backup-simplify]: Simplify 0 into 0 16.831 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))))) into 0 16.831 * [backup-simplify]: Simplify 0 into 0 16.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.837 * [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 16.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.838 * [backup-simplify]: Simplify (- 0) into 0 16.838 * [backup-simplify]: Simplify (+ 0 0) into 0 16.839 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 16.840 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.841 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 16.843 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.844 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))))))) into 0 16.844 * [taylor]: Taking taylor expansion of 0 in k 16.844 * [backup-simplify]: Simplify 0 into 0 16.844 * [backup-simplify]: Simplify 0 into 0 16.844 * [backup-simplify]: Simplify (pow (exp (* -0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) 2) into (pow (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) 2) 16.845 * [backup-simplify]: Simplify (* (pow (/ 1 (- n)) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (pow (/ 1 (- n)) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2))) into (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) 16.845 * [approximate]: Taking taylor expansion of (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) in (n k) around 0 16.845 * [taylor]: Taking taylor expansion of (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 16.845 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 16.845 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 16.845 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 16.845 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 16.845 * [taylor]: Taking taylor expansion of 0.25 in k 16.845 * [backup-simplify]: Simplify 0.25 into 0.25 16.845 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.845 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.845 * [taylor]: Taking taylor expansion of k in k 16.845 * [backup-simplify]: Simplify 0 into 0 16.845 * [backup-simplify]: Simplify 1 into 1 16.846 * [backup-simplify]: Simplify (/ 1 1) into 1 16.846 * [taylor]: Taking taylor expansion of 1.0 in k 16.846 * [backup-simplify]: Simplify 1.0 into 1.0 16.846 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 16.846 * [taylor]: Taking taylor expansion of (/ -1 n) in k 16.846 * [taylor]: Taking taylor expansion of -1 in k 16.846 * [backup-simplify]: Simplify -1 into -1 16.846 * [taylor]: Taking taylor expansion of n in k 16.846 * [backup-simplify]: Simplify n into n 16.846 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 16.846 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 16.847 * [backup-simplify]: Simplify (+ 1 0) into 1 16.847 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 16.847 * [backup-simplify]: Simplify (* 0.25 (log (/ -1 n))) into (* 0.25 (log (/ -1 n))) 16.847 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 16.848 * [taylor]: Taking taylor expansion of (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 16.848 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 16.848 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 16.848 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 16.848 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 16.848 * [taylor]: Taking taylor expansion of 0.25 in n 16.848 * [backup-simplify]: Simplify 0.25 into 0.25 16.848 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.848 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.848 * [taylor]: Taking taylor expansion of k in n 16.848 * [backup-simplify]: Simplify k into k 16.848 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.848 * [taylor]: Taking taylor expansion of 1.0 in n 16.848 * [backup-simplify]: Simplify 1.0 into 1.0 16.848 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.848 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.848 * [taylor]: Taking taylor expansion of -1 in n 16.848 * [backup-simplify]: Simplify -1 into -1 16.848 * [taylor]: Taking taylor expansion of n in n 16.848 * [backup-simplify]: Simplify 0 into 0 16.848 * [backup-simplify]: Simplify 1 into 1 16.849 * [backup-simplify]: Simplify (/ -1 1) into -1 16.849 * [backup-simplify]: Simplify (log -1) into (log -1) 16.849 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.849 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 16.850 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.851 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.851 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.851 * [taylor]: Taking taylor expansion of (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 16.851 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 16.851 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 16.851 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 16.851 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 16.851 * [taylor]: Taking taylor expansion of 0.25 in n 16.852 * [backup-simplify]: Simplify 0.25 into 0.25 16.852 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.852 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.852 * [taylor]: Taking taylor expansion of k in n 16.852 * [backup-simplify]: Simplify k into k 16.852 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.852 * [taylor]: Taking taylor expansion of 1.0 in n 16.852 * [backup-simplify]: Simplify 1.0 into 1.0 16.852 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.852 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.852 * [taylor]: Taking taylor expansion of -1 in n 16.852 * [backup-simplify]: Simplify -1 into -1 16.852 * [taylor]: Taking taylor expansion of n in n 16.852 * [backup-simplify]: Simplify 0 into 0 16.852 * [backup-simplify]: Simplify 1 into 1 16.852 * [backup-simplify]: Simplify (/ -1 1) into -1 16.853 * [backup-simplify]: Simplify (log -1) into (log -1) 16.853 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.853 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 16.854 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.855 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.855 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.857 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) 16.857 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) in k 16.857 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 16.857 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 16.857 * [taylor]: Taking taylor expansion of 0.25 in k 16.857 * [backup-simplify]: Simplify 0.25 into 0.25 16.857 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 16.857 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 16.857 * [taylor]: Taking taylor expansion of (log -1) in k 16.857 * [taylor]: Taking taylor expansion of -1 in k 16.857 * [backup-simplify]: Simplify -1 into -1 16.857 * [backup-simplify]: Simplify (log -1) into (log -1) 16.857 * [taylor]: Taking taylor expansion of (log n) in k 16.857 * [taylor]: Taking taylor expansion of n in k 16.857 * [backup-simplify]: Simplify n into n 16.857 * [backup-simplify]: Simplify (log n) into (log n) 16.858 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.858 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.858 * [taylor]: Taking taylor expansion of k in k 16.858 * [backup-simplify]: Simplify 0 into 0 16.858 * [backup-simplify]: Simplify 1 into 1 16.858 * [backup-simplify]: Simplify (/ 1 1) into 1 16.858 * [taylor]: Taking taylor expansion of 1.0 in k 16.858 * [backup-simplify]: Simplify 1.0 into 1.0 16.858 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.859 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 16.859 * [backup-simplify]: Simplify (+ 1 0) into 1 16.859 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 16.860 * [backup-simplify]: Simplify (* 0.25 (- (log -1) (log n))) into (* 0.25 (- (log -1) (log n))) 16.860 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 16.861 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) 16.861 * [backup-simplify]: Simplify (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) into (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) 16.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.863 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 16.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.863 * [backup-simplify]: Simplify (+ 0 0) into 0 16.863 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 16.864 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.864 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 16.865 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.866 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into 0 16.866 * [taylor]: Taking taylor expansion of 0 in k 16.866 * [backup-simplify]: Simplify 0 into 0 16.866 * [backup-simplify]: Simplify 0 into 0 16.867 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into 0 16.867 * [backup-simplify]: Simplify 0 into 0 16.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.869 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 16.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.869 * [backup-simplify]: Simplify (+ 0 0) into 0 16.870 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 16.870 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.871 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 16.872 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.873 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 16.873 * [taylor]: Taking taylor expansion of 0 in k 16.873 * [backup-simplify]: Simplify 0 into 0 16.873 * [backup-simplify]: Simplify 0 into 0 16.873 * [backup-simplify]: Simplify 0 into 0 16.874 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 16.874 * [backup-simplify]: Simplify 0 into 0 16.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.883 * [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 16.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.884 * [backup-simplify]: Simplify (+ 0 0) into 0 16.885 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 16.885 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.886 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 16.887 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (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 16.889 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))))) into 0 16.889 * [taylor]: Taking taylor expansion of 0 in k 16.889 * [backup-simplify]: Simplify 0 into 0 16.889 * [backup-simplify]: Simplify 0 into 0 16.889 * [backup-simplify]: Simplify (pow (exp (* 0.25 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) into (pow (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 2) 16.889 * * * [progress]: simplifying candidates 16.893 * [simplify]: Simplifying: (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2)) (pow n (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 1) (sqrt 2))) (pow n (/ (/ 1 1) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 1) (sqrt 2))) (pow n (/ (/ 1 1) 1)) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) (pow n (/ 1 1)) (pow n (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow n (/ (- 1.0 k) (sqrt 2))) (pow n (/ (- 1.0 k) 1)) (pow n 1) (pow n (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow n (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2)) (pow n (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 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2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) 1) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2))) (* (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow (pow n 1.0) 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) 2) (pow (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 2) 16.899 * * [simplify]: Extracting # 0 : cost 0 16.899 * * [simplify]: Extracting # 1 : cost 0 16.900 * * [simplify]: Extracting # 2 : cost 0 16.900 * * [simplify]: Extracting # 3 : cost 0 16.901 * * [simplify]: Extracting # 4 : cost 0 16.901 * * [simplify]: Extracting # 5 : cost 0 16.902 * * [simplify]: Extracting # 6 : cost 0 16.902 * * [simplify]: Extracting # 7 : cost 0 16.903 * * [simplify]: Extracting # 8 : cost 0 16.903 * * [simplify]: Extracting # 9 : cost 0 16.903 * * [simplify]: Extracting # 10 : cost 0 16.904 * * [simplify]: iteration 0 : 308 enodes (cost 4202 ) 17.025 * * [simplify]: Extracting # 0 : cost 0 17.027 * * [simplify]: Extracting # 1 : cost 0 17.032 * * [simplify]: Extracting # 2 : cost 0 17.033 * * [simplify]: Extracting # 3 : cost 0 17.034 * * [simplify]: Extracting # 4 : cost 0 17.035 * * [simplify]: iteration 1 : 794 enodes (cost 3385 ) 17.643 * * [simplify]: Extracting # 0 : cost 0 17.651 * * [simplify]: Extracting # 1 : cost 0 17.657 * * [simplify]: Extracting # 2 : cost 0 17.664 * * [simplify]: Extracting # 3 : cost 0 17.670 * * [simplify]: Extracting # 4 : cost 0 17.677 * * [simplify]: iteration 2 : 2361 enodes (cost 3282 ) 18.604 * * [simplify]: Extracting # 0 : cost 0 18.616 * * [simplify]: Extracting # 1 : cost 0 18.630 * * [simplify]: Extracting # 2 : cost 0 18.644 * * [simplify]: Extracting # 3 : cost 0 18.658 * * [simplify]: Extracting # 4 : cost 0 18.677 * * [simplify]: Extracting # 5 : cost 0 18.689 * * [simplify]: iteration done: 5000 enodes (cost 3187 ) 18.693 * [simplify]: Simplified to: (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (sqrt (- 1.0 k))) (pow PI (/ 1 (* 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1.0 k) 2.0) 2))) (+ 3 1)) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (pow (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow n (/ (/ (- 1.0 k) 2.0) 4)) 3) (* (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)) (pow (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (+ 3 1)) (pow (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow n (/ (- 1.0 k) 2.0)) (pow (pow n (/ (/ (- 1.0 k) 2.0) 4)) 3) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2))) (+ (pow PI 0.5) (* (pow (pow PI 1.0) 0.5) (- (* 0.125 (* (pow k 2) (pow (log PI) 2))) (* 0.5 (* k (log PI)))))) (pow PI (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))) (+ (pow n 0.25) (* (pow (pow n 1.0) 0.25) (- (* 0.03125 (* (pow k 2) (pow (log n) 2))) (* 0.25 (* k (log n)))))) (pow (/ 1 n) (* -0.25 (- 1.0 k))) (exp (* (* 0.25 (- 1.0 k)) (+ 0 (log n)))) (+ (pow n 0.25) (* (pow (pow n 1.0) 0.25) (- (* 0.03125 (* (pow k 2) (pow (log n) 2))) (* 0.25 (* k (log n)))))) (pow (/ 1 n) (* -0.25 (- 1.0 k))) (exp (* (* 0.25 (- 1.0 k)) (+ 0 (log n)))) (* (pow (pow n 1.0) 0.5) (- (fma (* 0.125 (pow (log n) 2)) (pow k 2) 1) (* 0.5 (* k (log n))))) (pow (pow (/ 1 n) (* -0.25 (- 1.0 k))) 2) (pow (exp (* 0.25 (- 1.0 k))) (* 2 (+ 0 (log n)))) 18.696 * * * [progress]: adding candidates to table 20.238 * [progress]: [Phase 3 of 3] Extracting. 20.238 * * [regime]: Finding splitpoints for: (# # # # # # # #) 20.241 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 20.242 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 20.287 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # #) 20.312 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 20.366 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 20.415 * * * [regime]: Found split indices: #