56.005 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.126 * * * [progress]: [2/2] Setting up program. 0.134 * [progress]: [Phase 2 of 3] Improving. 0.134 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.134 * * [simplify]: iteration 0: 13 enodes 0.141 * * [simplify]: iteration 1: 29 enodes 0.148 * * [simplify]: iteration 2: 58 enodes 0.160 * * [simplify]: iteration 3: 114 enodes 0.191 * * [simplify]: iteration 4: 285 enodes 0.363 * * [simplify]: iteration 5: 816 enodes 1.394 * * [simplify]: iteration 6: 2792 enodes 2.552 * * [simplify]: iteration complete: 5003 enodes 2.552 * * [simplify]: Extracting #0: cost 1 inf + 0 2.552 * * [simplify]: Extracting #1: cost 108 inf + 0 2.554 * * [simplify]: Extracting #2: cost 443 inf + 1 2.557 * * [simplify]: Extracting #3: cost 1022 inf + 49 2.569 * * [simplify]: Extracting #4: cost 1321 inf + 10849 2.596 * * [simplify]: Extracting #5: cost 617 inf + 94525 2.688 * * [simplify]: Extracting #6: cost 187 inf + 373026 2.859 * * [simplify]: Extracting #7: cost 0 inf + 567203 3.007 * * [simplify]: Extracting #8: cost 0 inf + 562474 3.144 * * [simplify]: Extracting #9: cost 0 inf + 561804 3.287 * [simplify]: Simplified to: (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (/ (sqrt k) 1.0)) 3.287 * * [progress]: iteration 1 / 4 3.287 * * * [progress]: picking best candidate 3.292 * * * * [pick]: Picked # 3.292 * * * [progress]: localizing error 3.314 * * * [progress]: generating rewritten candidates 3.314 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.351 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.356 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.370 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.415 * * * [progress]: generating series expansions 3.415 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.416 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 3.416 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.416 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.416 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.416 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.416 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.416 * [taylor]: Taking taylor expansion of 0.5 in k 3.416 * [backup-simplify]: Simplify 0.5 into 0.5 3.416 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.416 * [taylor]: Taking taylor expansion of 1.0 in k 3.416 * [backup-simplify]: Simplify 1.0 into 1.0 3.416 * [taylor]: Taking taylor expansion of k in k 3.416 * [backup-simplify]: Simplify 0 into 0 3.416 * [backup-simplify]: Simplify 1 into 1 3.416 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.416 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.416 * [taylor]: Taking taylor expansion of 2.0 in k 3.416 * [backup-simplify]: Simplify 2.0 into 2.0 3.416 * [taylor]: Taking taylor expansion of (* n PI) in k 3.416 * [taylor]: Taking taylor expansion of n in k 3.416 * [backup-simplify]: Simplify n into n 3.416 * [taylor]: Taking taylor expansion of PI in k 3.416 * [backup-simplify]: Simplify PI into PI 3.416 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.416 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.419 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.419 * [backup-simplify]: Simplify (- 0) into 0 3.420 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.420 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.421 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.421 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.421 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.421 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.421 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.421 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.421 * [taylor]: Taking taylor expansion of 0.5 in n 3.421 * [backup-simplify]: Simplify 0.5 into 0.5 3.421 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.421 * [taylor]: Taking taylor expansion of 1.0 in n 3.421 * [backup-simplify]: Simplify 1.0 into 1.0 3.421 * [taylor]: Taking taylor expansion of k in n 3.421 * [backup-simplify]: Simplify k into k 3.421 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.421 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.421 * [taylor]: Taking taylor expansion of 2.0 in n 3.421 * [backup-simplify]: Simplify 2.0 into 2.0 3.421 * [taylor]: Taking taylor expansion of (* n PI) in n 3.421 * [taylor]: Taking taylor expansion of n in n 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify 1 into 1 3.421 * [taylor]: Taking taylor expansion of PI in n 3.421 * [backup-simplify]: Simplify PI into PI 3.422 * [backup-simplify]: Simplify (* 0 PI) into 0 3.423 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.425 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.426 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.428 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.428 * [backup-simplify]: Simplify (- k) into (- k) 3.428 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.428 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.429 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.431 * [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)))) 3.432 * [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))))) 3.432 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.432 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.432 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.432 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.432 * [taylor]: Taking taylor expansion of 0.5 in n 3.432 * [backup-simplify]: Simplify 0.5 into 0.5 3.432 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.432 * [taylor]: Taking taylor expansion of 1.0 in n 3.432 * [backup-simplify]: Simplify 1.0 into 1.0 3.432 * [taylor]: Taking taylor expansion of k in n 3.432 * [backup-simplify]: Simplify k into k 3.432 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.432 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.432 * [taylor]: Taking taylor expansion of 2.0 in n 3.432 * [backup-simplify]: Simplify 2.0 into 2.0 3.433 * [taylor]: Taking taylor expansion of (* n PI) in n 3.433 * [taylor]: Taking taylor expansion of n in n 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify 1 into 1 3.433 * [taylor]: Taking taylor expansion of PI in n 3.433 * [backup-simplify]: Simplify PI into PI 3.433 * [backup-simplify]: Simplify (* 0 PI) into 0 3.434 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.435 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.437 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.438 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.438 * [backup-simplify]: Simplify (- k) into (- k) 3.438 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.438 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.440 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.441 * [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)))) 3.442 * [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))))) 3.442 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.442 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.443 * [taylor]: Taking taylor expansion of 0.5 in k 3.443 * [backup-simplify]: Simplify 0.5 into 0.5 3.443 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.443 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.443 * [taylor]: Taking taylor expansion of 1.0 in k 3.443 * [backup-simplify]: Simplify 1.0 into 1.0 3.443 * [taylor]: Taking taylor expansion of k in k 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify 1 into 1 3.443 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.443 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.443 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.443 * [taylor]: Taking taylor expansion of 2.0 in k 3.443 * [backup-simplify]: Simplify 2.0 into 2.0 3.443 * [taylor]: Taking taylor expansion of PI in k 3.443 * [backup-simplify]: Simplify PI into PI 3.443 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.445 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.445 * [taylor]: Taking taylor expansion of (log n) in k 3.445 * [taylor]: Taking taylor expansion of n in k 3.445 * [backup-simplify]: Simplify n into n 3.445 * [backup-simplify]: Simplify (log n) into (log n) 3.445 * [backup-simplify]: Simplify (- 0) into 0 3.446 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.447 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 3.448 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 3.449 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 3.450 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 3.452 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 3.453 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.454 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 3.455 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.455 * [backup-simplify]: Simplify (- 0) into 0 3.455 * [backup-simplify]: Simplify (+ 0 0) into 0 3.456 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 3.457 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.457 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 3.459 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.459 * [taylor]: Taking taylor expansion of 0 in k 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.460 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.461 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 3.461 * [backup-simplify]: Simplify (+ 0 0) into 0 3.462 * [backup-simplify]: Simplify (- 1) into -1 3.462 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.463 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 3.464 * [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)))) 3.466 * [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)))))) 3.468 * [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)))))) 3.469 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.470 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.472 * [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 3.472 * [backup-simplify]: Simplify (- 0) into 0 3.472 * [backup-simplify]: Simplify (+ 0 0) into 0 3.473 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 3.474 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.475 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 3.476 * [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 3.476 * [taylor]: Taking taylor expansion of 0 in k 3.476 * [backup-simplify]: Simplify 0 into 0 3.476 * [backup-simplify]: Simplify 0 into 0 3.476 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.479 * [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 3.480 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 3.480 * [backup-simplify]: Simplify (+ 0 0) into 0 3.481 * [backup-simplify]: Simplify (- 0) into 0 3.481 * [backup-simplify]: Simplify (+ 0 0) into 0 3.482 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 3.485 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 3.489 * [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 n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 3.495 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 3.503 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 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 (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 3.504 * [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)))) 3.504 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.504 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.504 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.504 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.504 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.504 * [taylor]: Taking taylor expansion of 0.5 in k 3.504 * [backup-simplify]: Simplify 0.5 into 0.5 3.504 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.504 * [taylor]: Taking taylor expansion of 1.0 in k 3.504 * [backup-simplify]: Simplify 1.0 into 1.0 3.504 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.504 * [taylor]: Taking taylor expansion of k in k 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 1 into 1 3.504 * [backup-simplify]: Simplify (/ 1 1) into 1 3.504 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.504 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.504 * [taylor]: Taking taylor expansion of 2.0 in k 3.504 * [backup-simplify]: Simplify 2.0 into 2.0 3.504 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.504 * [taylor]: Taking taylor expansion of PI in k 3.504 * [backup-simplify]: Simplify PI into PI 3.504 * [taylor]: Taking taylor expansion of n in k 3.504 * [backup-simplify]: Simplify n into n 3.504 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.504 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.505 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.505 * [backup-simplify]: Simplify (- 1) into -1 3.505 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.505 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.505 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.506 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 3.506 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.506 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.506 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.506 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.506 * [taylor]: Taking taylor expansion of 0.5 in n 3.506 * [backup-simplify]: Simplify 0.5 into 0.5 3.506 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.506 * [taylor]: Taking taylor expansion of 1.0 in n 3.506 * [backup-simplify]: Simplify 1.0 into 1.0 3.506 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.506 * [taylor]: Taking taylor expansion of k in n 3.506 * [backup-simplify]: Simplify k into k 3.506 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.506 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.506 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.506 * [taylor]: Taking taylor expansion of 2.0 in n 3.506 * [backup-simplify]: Simplify 2.0 into 2.0 3.506 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.506 * [taylor]: Taking taylor expansion of PI in n 3.506 * [backup-simplify]: Simplify PI into PI 3.506 * [taylor]: Taking taylor expansion of n in n 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify (/ PI 1) into PI 3.507 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.507 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.507 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.507 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.508 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.508 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.509 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 3.510 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.510 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.510 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.510 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.510 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.510 * [taylor]: Taking taylor expansion of 0.5 in n 3.510 * [backup-simplify]: Simplify 0.5 into 0.5 3.510 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.510 * [taylor]: Taking taylor expansion of 1.0 in n 3.510 * [backup-simplify]: Simplify 1.0 into 1.0 3.510 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.510 * [taylor]: Taking taylor expansion of k in n 3.510 * [backup-simplify]: Simplify k into k 3.510 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.510 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.510 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.510 * [taylor]: Taking taylor expansion of 2.0 in n 3.510 * [backup-simplify]: Simplify 2.0 into 2.0 3.510 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.510 * [taylor]: Taking taylor expansion of PI in n 3.510 * [backup-simplify]: Simplify PI into PI 3.510 * [taylor]: Taking taylor expansion of n in n 3.510 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify 1 into 1 3.511 * [backup-simplify]: Simplify (/ PI 1) into PI 3.511 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.512 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.512 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.512 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.512 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.513 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.514 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 3.515 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.515 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 3.515 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 3.515 * [taylor]: Taking taylor expansion of 0.5 in k 3.515 * [backup-simplify]: Simplify 0.5 into 0.5 3.515 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 3.515 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.515 * [taylor]: Taking taylor expansion of 1.0 in k 3.515 * [backup-simplify]: Simplify 1.0 into 1.0 3.515 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.515 * [taylor]: Taking taylor expansion of k in k 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 1 into 1 3.515 * [backup-simplify]: Simplify (/ 1 1) into 1 3.515 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.515 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.515 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.515 * [taylor]: Taking taylor expansion of 2.0 in k 3.515 * [backup-simplify]: Simplify 2.0 into 2.0 3.515 * [taylor]: Taking taylor expansion of PI in k 3.515 * [backup-simplify]: Simplify PI into PI 3.516 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.516 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.516 * [taylor]: Taking taylor expansion of (log n) in k 3.516 * [taylor]: Taking taylor expansion of n in k 3.516 * [backup-simplify]: Simplify n into n 3.516 * [backup-simplify]: Simplify (log n) into (log n) 3.517 * [backup-simplify]: Simplify (- 1) into -1 3.517 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.517 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.518 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 3.518 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 3.519 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 3.520 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.521 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.522 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.523 * [backup-simplify]: Simplify (- 0) into 0 3.523 * [backup-simplify]: Simplify (+ 0 0) into 0 3.524 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 3.525 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.525 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 3.527 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.527 * [taylor]: Taking taylor expansion of 0 in k 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.529 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.533 * [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 3.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.539 * [backup-simplify]: Simplify (- 0) into 0 3.540 * [backup-simplify]: Simplify (+ 0 0) into 0 3.541 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 3.542 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.544 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 3.547 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.547 * [taylor]: Taking taylor expansion of 0 in k 3.547 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.549 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.556 * [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 3.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.556 * [backup-simplify]: Simplify (- 0) into 0 3.557 * [backup-simplify]: Simplify (+ 0 0) into 0 3.558 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 3.559 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.561 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 3.565 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.565 * [taylor]: Taking taylor expansion of 0 in k 3.565 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 3.567 * [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))) 3.567 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.567 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.567 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.567 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.567 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.567 * [taylor]: Taking taylor expansion of 0.5 in k 3.567 * [backup-simplify]: Simplify 0.5 into 0.5 3.567 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.567 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.567 * [taylor]: Taking taylor expansion of k in k 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.568 * [backup-simplify]: Simplify (/ 1 1) into 1 3.568 * [taylor]: Taking taylor expansion of 1.0 in k 3.568 * [backup-simplify]: Simplify 1.0 into 1.0 3.568 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.568 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.568 * [taylor]: Taking taylor expansion of -2.0 in k 3.568 * [backup-simplify]: Simplify -2.0 into -2.0 3.568 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.568 * [taylor]: Taking taylor expansion of PI in k 3.568 * [backup-simplify]: Simplify PI into PI 3.568 * [taylor]: Taking taylor expansion of n in k 3.568 * [backup-simplify]: Simplify n into n 3.568 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.568 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.568 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.569 * [backup-simplify]: Simplify (+ 1 0) into 1 3.569 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.569 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.570 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 3.570 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.570 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.570 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.570 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.570 * [taylor]: Taking taylor expansion of 0.5 in n 3.570 * [backup-simplify]: Simplify 0.5 into 0.5 3.570 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.570 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.570 * [taylor]: Taking taylor expansion of k in n 3.570 * [backup-simplify]: Simplify k into k 3.570 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.570 * [taylor]: Taking taylor expansion of 1.0 in n 3.570 * [backup-simplify]: Simplify 1.0 into 1.0 3.570 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.570 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.570 * [taylor]: Taking taylor expansion of -2.0 in n 3.570 * [backup-simplify]: Simplify -2.0 into -2.0 3.570 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.570 * [taylor]: Taking taylor expansion of PI in n 3.570 * [backup-simplify]: Simplify PI into PI 3.570 * [taylor]: Taking taylor expansion of n in n 3.570 * [backup-simplify]: Simplify 0 into 0 3.570 * [backup-simplify]: Simplify 1 into 1 3.571 * [backup-simplify]: Simplify (/ PI 1) into PI 3.571 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.571 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.572 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.572 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.573 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.573 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 3.574 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.574 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.574 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.574 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.574 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.574 * [taylor]: Taking taylor expansion of 0.5 in n 3.574 * [backup-simplify]: Simplify 0.5 into 0.5 3.574 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.574 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.574 * [taylor]: Taking taylor expansion of k in n 3.574 * [backup-simplify]: Simplify k into k 3.574 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.574 * [taylor]: Taking taylor expansion of 1.0 in n 3.574 * [backup-simplify]: Simplify 1.0 into 1.0 3.574 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.574 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.574 * [taylor]: Taking taylor expansion of -2.0 in n 3.574 * [backup-simplify]: Simplify -2.0 into -2.0 3.574 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.574 * [taylor]: Taking taylor expansion of PI in n 3.574 * [backup-simplify]: Simplify PI into PI 3.574 * [taylor]: Taking taylor expansion of n in n 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify (/ PI 1) into PI 3.575 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.576 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.576 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.576 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.577 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.578 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 3.578 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.578 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 3.578 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 3.578 * [taylor]: Taking taylor expansion of 0.5 in k 3.578 * [backup-simplify]: Simplify 0.5 into 0.5 3.578 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 3.578 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.579 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.579 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.579 * [taylor]: Taking taylor expansion of -2.0 in k 3.579 * [backup-simplify]: Simplify -2.0 into -2.0 3.579 * [taylor]: Taking taylor expansion of PI in k 3.579 * [backup-simplify]: Simplify PI into PI 3.579 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.580 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.580 * [taylor]: Taking taylor expansion of (log n) in k 3.580 * [taylor]: Taking taylor expansion of n in k 3.580 * [backup-simplify]: Simplify n into n 3.580 * [backup-simplify]: Simplify (log n) into (log n) 3.580 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.580 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.580 * [taylor]: Taking taylor expansion of k in k 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify 1 into 1 3.580 * [backup-simplify]: Simplify (/ 1 1) into 1 3.580 * [taylor]: Taking taylor expansion of 1.0 in k 3.580 * [backup-simplify]: Simplify 1.0 into 1.0 3.580 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.581 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 3.581 * [backup-simplify]: Simplify (+ 1 0) into 1 3.582 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 3.582 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 3.583 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.584 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.585 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.586 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 3.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.587 * [backup-simplify]: Simplify (+ 0 0) into 0 3.587 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 3.588 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.589 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 3.590 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.590 * [taylor]: Taking taylor expansion of 0 in k 3.590 * [backup-simplify]: Simplify 0 into 0 3.590 * [backup-simplify]: Simplify 0 into 0 3.590 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.592 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.594 * [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 3.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.594 * [backup-simplify]: Simplify (+ 0 0) into 0 3.595 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 3.596 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.597 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 3.599 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.599 * [taylor]: Taking taylor expansion of 0 in k 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.601 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.608 * [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 3.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.608 * [backup-simplify]: Simplify (+ 0 0) into 0 3.610 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 3.611 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.613 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 3.616 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.616 * [taylor]: Taking taylor expansion of 0 in k 3.616 * [backup-simplify]: Simplify 0 into 0 3.616 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 3.618 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.618 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 3.618 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.618 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.618 * [taylor]: Taking taylor expansion of 1.0 in k 3.618 * [backup-simplify]: Simplify 1.0 into 1.0 3.618 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.618 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.618 * [taylor]: Taking taylor expansion of k in k 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 1 into 1 3.619 * [backup-simplify]: Simplify (/ 1 1) into 1 3.619 * [backup-simplify]: Simplify (sqrt 0) into 0 3.621 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.621 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.621 * [taylor]: Taking taylor expansion of 1.0 in k 3.621 * [backup-simplify]: Simplify 1.0 into 1.0 3.621 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.621 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.621 * [taylor]: Taking taylor expansion of k in k 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 1 into 1 3.621 * [backup-simplify]: Simplify (/ 1 1) into 1 3.622 * [backup-simplify]: Simplify (sqrt 0) into 0 3.624 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.624 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.624 * [backup-simplify]: Simplify 0 into 0 3.626 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 3.626 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.631 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.633 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 3.634 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.639 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.641 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.642 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.643 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 3.644 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 3.644 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.644 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.644 * [taylor]: Taking taylor expansion of 1.0 in k 3.644 * [backup-simplify]: Simplify 1.0 into 1.0 3.644 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.644 * [taylor]: Taking taylor expansion of k in k 3.644 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify 1 into 1 3.644 * [backup-simplify]: Simplify (sqrt 0) into 0 3.646 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.646 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.646 * [taylor]: Taking taylor expansion of 1.0 in k 3.646 * [backup-simplify]: Simplify 1.0 into 1.0 3.646 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.646 * [taylor]: Taking taylor expansion of k in k 3.646 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify 1 into 1 3.646 * [backup-simplify]: Simplify (sqrt 0) into 0 3.648 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.648 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.648 * [backup-simplify]: Simplify 0 into 0 3.650 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 3.650 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.653 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.655 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 3.656 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.662 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.662 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.664 * [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)))))))) 3.664 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 3.664 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.664 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.664 * [taylor]: Taking taylor expansion of 1.0 in k 3.664 * [backup-simplify]: Simplify 1.0 into 1.0 3.664 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.664 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.664 * [taylor]: Taking taylor expansion of -1 in k 3.664 * [backup-simplify]: Simplify -1 into -1 3.664 * [taylor]: Taking taylor expansion of k in k 3.664 * [backup-simplify]: Simplify 0 into 0 3.664 * [backup-simplify]: Simplify 1 into 1 3.665 * [backup-simplify]: Simplify (/ -1 1) into -1 3.665 * [backup-simplify]: Simplify (sqrt 0) into 0 3.666 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.667 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 3.667 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.667 * [taylor]: Taking taylor expansion of 1.0 in k 3.667 * [backup-simplify]: Simplify 1.0 into 1.0 3.667 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.667 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.667 * [taylor]: Taking taylor expansion of -1 in k 3.667 * [backup-simplify]: Simplify -1 into -1 3.667 * [taylor]: Taking taylor expansion of k in k 3.667 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify 1 into 1 3.667 * [backup-simplify]: Simplify (/ -1 1) into -1 3.667 * [backup-simplify]: Simplify (sqrt 0) into 0 3.668 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.668 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 3.668 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.676 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.677 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 3.678 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.684 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 3.684 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.685 * [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))))) 3.685 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.685 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 3.685 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.685 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.685 * [taylor]: Taking taylor expansion of 2.0 in n 3.685 * [backup-simplify]: Simplify 2.0 into 2.0 3.685 * [taylor]: Taking taylor expansion of (* n PI) in n 3.685 * [taylor]: Taking taylor expansion of n in n 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 1 into 1 3.685 * [taylor]: Taking taylor expansion of PI in n 3.685 * [backup-simplify]: Simplify PI into PI 3.685 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.685 * [taylor]: Taking taylor expansion of 2.0 in n 3.686 * [backup-simplify]: Simplify 2.0 into 2.0 3.686 * [taylor]: Taking taylor expansion of (* n PI) in n 3.686 * [taylor]: Taking taylor expansion of n in n 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 1 into 1 3.686 * [taylor]: Taking taylor expansion of PI in n 3.686 * [backup-simplify]: Simplify PI into PI 3.686 * [backup-simplify]: Simplify (* 0 PI) into 0 3.686 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.687 * [backup-simplify]: Simplify 0 into 0 3.688 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.689 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.689 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.691 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.692 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.692 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.694 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 3.694 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.696 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.698 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 3.698 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 3.702 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 3.702 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 3.703 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 3.703 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.703 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.703 * [taylor]: Taking taylor expansion of 2.0 in n 3.703 * [backup-simplify]: Simplify 2.0 into 2.0 3.703 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.703 * [taylor]: Taking taylor expansion of PI in n 3.703 * [backup-simplify]: Simplify PI into PI 3.703 * [taylor]: Taking taylor expansion of n in n 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify 1 into 1 3.704 * [backup-simplify]: Simplify (/ PI 1) into PI 3.704 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.704 * [taylor]: Taking taylor expansion of 2.0 in n 3.704 * [backup-simplify]: Simplify 2.0 into 2.0 3.704 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.704 * [taylor]: Taking taylor expansion of PI in n 3.704 * [backup-simplify]: Simplify PI into PI 3.704 * [taylor]: Taking taylor expansion of n in n 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 1 into 1 3.705 * [backup-simplify]: Simplify (/ PI 1) into PI 3.705 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.706 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.708 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.708 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.710 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.710 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.712 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.712 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.715 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.715 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.718 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.718 * [backup-simplify]: Simplify 0 into 0 3.719 * [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 3.721 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.721 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 3.722 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 3.722 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.722 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.722 * [taylor]: Taking taylor expansion of -2.0 in n 3.722 * [backup-simplify]: Simplify -2.0 into -2.0 3.722 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.722 * [taylor]: Taking taylor expansion of PI in n 3.722 * [backup-simplify]: Simplify PI into PI 3.722 * [taylor]: Taking taylor expansion of n in n 3.722 * [backup-simplify]: Simplify 0 into 0 3.722 * [backup-simplify]: Simplify 1 into 1 3.723 * [backup-simplify]: Simplify (/ PI 1) into PI 3.723 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.723 * [taylor]: Taking taylor expansion of -2.0 in n 3.723 * [backup-simplify]: Simplify -2.0 into -2.0 3.723 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.723 * [taylor]: Taking taylor expansion of PI in n 3.723 * [backup-simplify]: Simplify PI into PI 3.723 * [taylor]: Taking taylor expansion of n in n 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.723 * [backup-simplify]: Simplify (/ PI 1) into PI 3.724 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.725 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.726 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.726 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.729 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.729 * [backup-simplify]: Simplify 0 into 0 3.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.731 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.731 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.734 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.734 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.737 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.737 * [backup-simplify]: Simplify 0 into 0 3.738 * [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 3.740 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 3.741 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.742 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 3.742 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (k n) around 0 3.742 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 3.742 * [taylor]: Taking taylor expansion of 1.0 in n 3.742 * [backup-simplify]: Simplify 1.0 into 1.0 3.742 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 3.742 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.742 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.742 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.742 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.742 * [taylor]: Taking taylor expansion of 0.5 in n 3.742 * [backup-simplify]: Simplify 0.5 into 0.5 3.742 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.742 * [taylor]: Taking taylor expansion of 1.0 in n 3.742 * [backup-simplify]: Simplify 1.0 into 1.0 3.742 * [taylor]: Taking taylor expansion of k in n 3.742 * [backup-simplify]: Simplify k into k 3.742 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.742 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.742 * [taylor]: Taking taylor expansion of 2.0 in n 3.742 * [backup-simplify]: Simplify 2.0 into 2.0 3.742 * [taylor]: Taking taylor expansion of (* n PI) in n 3.743 * [taylor]: Taking taylor expansion of n in n 3.743 * [backup-simplify]: Simplify 0 into 0 3.743 * [backup-simplify]: Simplify 1 into 1 3.743 * [taylor]: Taking taylor expansion of PI in n 3.743 * [backup-simplify]: Simplify PI into PI 3.743 * [backup-simplify]: Simplify (* 0 PI) into 0 3.744 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.745 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.747 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.748 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.748 * [backup-simplify]: Simplify (- k) into (- k) 3.748 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.748 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.750 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.751 * [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)))) 3.752 * [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))))) 3.752 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.753 * [taylor]: Taking taylor expansion of k in n 3.753 * [backup-simplify]: Simplify k into k 3.753 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.753 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 3.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 3.753 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 3.753 * [taylor]: Taking taylor expansion of 1.0 in k 3.753 * [backup-simplify]: Simplify 1.0 into 1.0 3.753 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 3.753 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.753 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.753 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.753 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.753 * [taylor]: Taking taylor expansion of 0.5 in k 3.753 * [backup-simplify]: Simplify 0.5 into 0.5 3.753 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.753 * [taylor]: Taking taylor expansion of 1.0 in k 3.753 * [backup-simplify]: Simplify 1.0 into 1.0 3.753 * [taylor]: Taking taylor expansion of k in k 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 1 into 1 3.754 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.754 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.754 * [taylor]: Taking taylor expansion of 2.0 in k 3.754 * [backup-simplify]: Simplify 2.0 into 2.0 3.754 * [taylor]: Taking taylor expansion of (* n PI) in k 3.754 * [taylor]: Taking taylor expansion of n in k 3.754 * [backup-simplify]: Simplify n into n 3.754 * [taylor]: Taking taylor expansion of PI in k 3.754 * [backup-simplify]: Simplify PI into PI 3.754 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.754 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.754 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.754 * [backup-simplify]: Simplify (- 0) into 0 3.755 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.755 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.755 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.756 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.756 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.756 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.756 * [taylor]: Taking taylor expansion of k in k 3.756 * [backup-simplify]: Simplify 0 into 0 3.756 * [backup-simplify]: Simplify 1 into 1 3.756 * [backup-simplify]: Simplify (/ 1 1) into 1 3.756 * [backup-simplify]: Simplify (sqrt 0) into 0 3.758 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.758 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 3.758 * [taylor]: Taking taylor expansion of 1.0 in k 3.758 * [backup-simplify]: Simplify 1.0 into 1.0 3.758 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 3.758 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.758 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.758 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.758 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.758 * [taylor]: Taking taylor expansion of 0.5 in k 3.758 * [backup-simplify]: Simplify 0.5 into 0.5 3.758 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.758 * [taylor]: Taking taylor expansion of 1.0 in k 3.758 * [backup-simplify]: Simplify 1.0 into 1.0 3.758 * [taylor]: Taking taylor expansion of k in k 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 1 into 1 3.758 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.758 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.759 * [taylor]: Taking taylor expansion of 2.0 in k 3.759 * [backup-simplify]: Simplify 2.0 into 2.0 3.759 * [taylor]: Taking taylor expansion of (* n PI) in k 3.759 * [taylor]: Taking taylor expansion of n in k 3.759 * [backup-simplify]: Simplify n into n 3.759 * [taylor]: Taking taylor expansion of PI in k 3.759 * [backup-simplify]: Simplify PI into PI 3.759 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.759 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.759 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.759 * [backup-simplify]: Simplify (- 0) into 0 3.760 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.760 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.760 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.761 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.761 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.761 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.761 * [taylor]: Taking taylor expansion of k in k 3.761 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify 1 into 1 3.761 * [backup-simplify]: Simplify (/ 1 1) into 1 3.762 * [backup-simplify]: Simplify (sqrt 0) into 0 3.763 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.763 * [backup-simplify]: Simplify (* (pow (* 2.0 (* n PI)) 0.5) 0) into 0 3.764 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.764 * [taylor]: Taking taylor expansion of 0 in n 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 3.765 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 3.766 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 3.766 * [backup-simplify]: Simplify (- 1) into -1 3.766 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.768 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 3.769 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 3.770 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 3.771 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 3.773 * [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))) 3.773 * [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 3.773 * [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 3.773 * [taylor]: Taking taylor expansion of +nan.0 in n 3.774 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.774 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.774 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.774 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.774 * [taylor]: Taking taylor expansion of 0.5 in n 3.774 * [backup-simplify]: Simplify 0.5 into 0.5 3.774 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.774 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.774 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.774 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.774 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.774 * [taylor]: Taking taylor expansion of 1.0 in n 3.774 * [backup-simplify]: Simplify 1.0 into 1.0 3.774 * [taylor]: Taking taylor expansion of (log PI) in n 3.774 * [taylor]: Taking taylor expansion of PI in n 3.774 * [backup-simplify]: Simplify PI into PI 3.775 * [backup-simplify]: Simplify (log PI) into (log PI) 3.776 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.777 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.777 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.777 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.777 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.778 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.778 * [taylor]: Taking taylor expansion of 1.0 in n 3.778 * [backup-simplify]: Simplify 1.0 into 1.0 3.778 * [taylor]: Taking taylor expansion of (log n) in n 3.778 * [taylor]: Taking taylor expansion of n in n 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (log 1) into 0 3.779 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.779 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.779 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.779 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.779 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.779 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.779 * [taylor]: Taking taylor expansion of 1.0 in n 3.779 * [backup-simplify]: Simplify 1.0 into 1.0 3.779 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.779 * [taylor]: Taking taylor expansion of 2.0 in n 3.779 * [backup-simplify]: Simplify 2.0 into 2.0 3.779 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.780 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.782 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.783 * [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) 3.785 * [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) 3.786 * [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)) 3.787 * [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))) 3.789 * [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) 3.790 * [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)) 3.792 * [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))) 3.793 * [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))) 3.793 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.797 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.798 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 3.799 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 3.801 * [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 3.801 * [backup-simplify]: Simplify (- 0) into 0 3.802 * [backup-simplify]: Simplify (+ 0 0) into 0 3.803 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 3.804 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 3.806 * [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 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 3.809 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 3.820 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 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) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 3.820 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 3.820 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 3.820 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 3.820 * [taylor]: Taking taylor expansion of +nan.0 in n 3.820 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.820 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 3.820 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.820 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.820 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.821 * [taylor]: Taking taylor expansion of 0.5 in n 3.821 * [backup-simplify]: Simplify 0.5 into 0.5 3.821 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.821 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.821 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.821 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.821 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.821 * [taylor]: Taking taylor expansion of 1.0 in n 3.821 * [backup-simplify]: Simplify 1.0 into 1.0 3.821 * [taylor]: Taking taylor expansion of (log PI) in n 3.821 * [taylor]: Taking taylor expansion of PI in n 3.821 * [backup-simplify]: Simplify PI into PI 3.821 * [backup-simplify]: Simplify (log PI) into (log PI) 3.822 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.824 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.824 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.824 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.824 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.824 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.824 * [taylor]: Taking taylor expansion of 1.0 in n 3.824 * [backup-simplify]: Simplify 1.0 into 1.0 3.824 * [taylor]: Taking taylor expansion of (log n) in n 3.824 * [taylor]: Taking taylor expansion of n in n 3.824 * [backup-simplify]: Simplify 0 into 0 3.824 * [backup-simplify]: Simplify 1 into 1 3.825 * [backup-simplify]: Simplify (log 1) into 0 3.825 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.825 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.825 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.825 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.825 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.825 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.825 * [taylor]: Taking taylor expansion of 1.0 in n 3.825 * [backup-simplify]: Simplify 1.0 into 1.0 3.825 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.825 * [taylor]: Taking taylor expansion of 2.0 in n 3.825 * [backup-simplify]: Simplify 2.0 into 2.0 3.826 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.826 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.827 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.828 * [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) 3.829 * [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) 3.829 * [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)) 3.830 * [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))) 3.831 * [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) 3.831 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.831 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.831 * [taylor]: Taking taylor expansion of 2.0 in n 3.831 * [backup-simplify]: Simplify 2.0 into 2.0 3.831 * [taylor]: Taking taylor expansion of (* n PI) in n 3.831 * [taylor]: Taking taylor expansion of n in n 3.831 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify 1 into 1 3.831 * [taylor]: Taking taylor expansion of PI in n 3.831 * [backup-simplify]: Simplify PI into PI 3.832 * [backup-simplify]: Simplify (* 0 PI) into 0 3.832 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.833 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.834 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.835 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.835 * [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 3.835 * [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 3.835 * [taylor]: Taking taylor expansion of +nan.0 in n 3.835 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.835 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.835 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.835 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.835 * [taylor]: Taking taylor expansion of 0.5 in n 3.835 * [backup-simplify]: Simplify 0.5 into 0.5 3.835 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.835 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.835 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.835 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.835 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.835 * [taylor]: Taking taylor expansion of 1.0 in n 3.835 * [backup-simplify]: Simplify 1.0 into 1.0 3.835 * [taylor]: Taking taylor expansion of (log PI) in n 3.835 * [taylor]: Taking taylor expansion of PI in n 3.835 * [backup-simplify]: Simplify PI into PI 3.835 * [backup-simplify]: Simplify (log PI) into (log PI) 3.836 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.837 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.837 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.837 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.837 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.837 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.837 * [taylor]: Taking taylor expansion of 1.0 in n 3.837 * [backup-simplify]: Simplify 1.0 into 1.0 3.837 * [taylor]: Taking taylor expansion of (log n) in n 3.837 * [taylor]: Taking taylor expansion of n in n 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify 1 into 1 3.837 * [backup-simplify]: Simplify (log 1) into 0 3.838 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.838 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.838 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.838 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.838 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.838 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.838 * [taylor]: Taking taylor expansion of 1.0 in n 3.838 * [backup-simplify]: Simplify 1.0 into 1.0 3.838 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.838 * [taylor]: Taking taylor expansion of 2.0 in n 3.838 * [backup-simplify]: Simplify 2.0 into 2.0 3.838 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.839 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.839 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.840 * [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) 3.841 * [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) 3.842 * [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)) 3.842 * [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))) 3.844 * [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) 3.844 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.846 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))) 3.848 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) 3.849 * [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)) 3.850 * [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))) 3.852 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (* +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) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 3.856 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +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 n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) 3.859 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +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 n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 3.860 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 3.861 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 3.862 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 3.863 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.864 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.864 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 3.865 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 3.866 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 3.867 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 3.868 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 3.870 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 3.871 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 3.874 * [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 3.875 * [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 3.878 * [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 3.880 * [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 3.880 * [backup-simplify]: Simplify (- 0) into 0 3.880 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.887 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.888 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 3.891 * [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 3.891 * [backup-simplify]: Simplify (- 0) into 0 3.892 * [backup-simplify]: Simplify (+ 0 0) into 0 3.893 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 3.895 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 3.897 * [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 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 3.903 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (+ (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) +nan.0) (* (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 3.914 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 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) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 3.914 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 3.914 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 3.914 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 3.914 * [taylor]: Taking taylor expansion of +nan.0 in n 3.914 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.914 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 3.914 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.914 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.914 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.914 * [taylor]: Taking taylor expansion of 0.5 in n 3.914 * [backup-simplify]: Simplify 0.5 into 0.5 3.914 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.914 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.914 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.914 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.914 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.915 * [taylor]: Taking taylor expansion of 1.0 in n 3.915 * [backup-simplify]: Simplify 1.0 into 1.0 3.915 * [taylor]: Taking taylor expansion of (log PI) in n 3.915 * [taylor]: Taking taylor expansion of PI in n 3.915 * [backup-simplify]: Simplify PI into PI 3.915 * [backup-simplify]: Simplify (log PI) into (log PI) 3.916 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.918 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.918 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.918 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.918 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.918 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.918 * [taylor]: Taking taylor expansion of 1.0 in n 3.918 * [backup-simplify]: Simplify 1.0 into 1.0 3.918 * [taylor]: Taking taylor expansion of (log n) in n 3.918 * [taylor]: Taking taylor expansion of n in n 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify 1 into 1 3.918 * [backup-simplify]: Simplify (log 1) into 0 3.919 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.919 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.919 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.919 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.919 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.919 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.919 * [taylor]: Taking taylor expansion of 1.0 in n 3.919 * [backup-simplify]: Simplify 1.0 into 1.0 3.919 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.919 * [taylor]: Taking taylor expansion of 2.0 in n 3.919 * [backup-simplify]: Simplify 2.0 into 2.0 3.920 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.920 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.922 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.923 * [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) 3.924 * [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) 3.925 * [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)) 3.927 * [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))) 3.928 * [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) 3.928 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.928 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.929 * [taylor]: Taking taylor expansion of 2.0 in n 3.929 * [backup-simplify]: Simplify 2.0 into 2.0 3.929 * [taylor]: Taking taylor expansion of (* n PI) in n 3.929 * [taylor]: Taking taylor expansion of n in n 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 1 into 1 3.929 * [taylor]: Taking taylor expansion of PI in n 3.929 * [backup-simplify]: Simplify PI into PI 3.929 * [backup-simplify]: Simplify (* 0 PI) into 0 3.930 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.931 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.933 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.934 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.934 * [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 PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 3.934 * [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 PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 3.935 * [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 3.935 * [taylor]: Taking taylor expansion of +nan.0 in n 3.935 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.935 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.935 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.935 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.935 * [taylor]: Taking taylor expansion of 0.5 in n 3.935 * [backup-simplify]: Simplify 0.5 into 0.5 3.935 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.935 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.935 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.935 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.935 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.935 * [taylor]: Taking taylor expansion of 1.0 in n 3.935 * [backup-simplify]: Simplify 1.0 into 1.0 3.935 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.935 * [taylor]: Taking taylor expansion of 2.0 in n 3.935 * [backup-simplify]: Simplify 2.0 into 2.0 3.936 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.937 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.938 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.938 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.938 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.938 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.939 * [taylor]: Taking taylor expansion of 1.0 in n 3.939 * [backup-simplify]: Simplify 1.0 into 1.0 3.939 * [taylor]: Taking taylor expansion of (log n) in n 3.939 * [taylor]: Taking taylor expansion of n in n 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify 1 into 1 3.939 * [backup-simplify]: Simplify (log 1) into 0 3.940 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.940 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.940 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.940 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.940 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.940 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.940 * [taylor]: Taking taylor expansion of 1.0 in n 3.940 * [backup-simplify]: Simplify 1.0 into 1.0 3.940 * [taylor]: Taking taylor expansion of (log PI) in n 3.940 * [taylor]: Taking taylor expansion of PI in n 3.940 * [backup-simplify]: Simplify PI into PI 3.940 * [backup-simplify]: Simplify (log PI) into (log PI) 3.941 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.943 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.944 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 3.945 * [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) 3.946 * [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)) 3.948 * [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))) 3.955 * [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) 3.955 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 3.955 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 3.955 * [taylor]: Taking taylor expansion of +nan.0 in n 3.955 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.955 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 3.955 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.955 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.955 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.955 * [taylor]: Taking taylor expansion of 0.5 in n 3.955 * [backup-simplify]: Simplify 0.5 into 0.5 3.955 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.955 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.955 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.955 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.955 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.955 * [taylor]: Taking taylor expansion of 1.0 in n 3.956 * [backup-simplify]: Simplify 1.0 into 1.0 3.956 * [taylor]: Taking taylor expansion of (log PI) in n 3.956 * [taylor]: Taking taylor expansion of PI in n 3.956 * [backup-simplify]: Simplify PI into PI 3.956 * [backup-simplify]: Simplify (log PI) into (log PI) 3.957 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.959 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.959 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.959 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.959 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.959 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.959 * [taylor]: Taking taylor expansion of 1.0 in n 3.959 * [backup-simplify]: Simplify 1.0 into 1.0 3.959 * [taylor]: Taking taylor expansion of (log n) in n 3.959 * [taylor]: Taking taylor expansion of n in n 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify 1 into 1 3.960 * [backup-simplify]: Simplify (log 1) into 0 3.960 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.960 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.960 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.960 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.961 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.961 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.961 * [taylor]: Taking taylor expansion of 1.0 in n 3.961 * [backup-simplify]: Simplify 1.0 into 1.0 3.961 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.961 * [taylor]: Taking taylor expansion of 2.0 in n 3.961 * [backup-simplify]: Simplify 2.0 into 2.0 3.961 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.962 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.964 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.964 * [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) 3.966 * [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) 3.967 * [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)) 3.969 * [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))) 3.970 * [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) 3.970 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.970 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.970 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.970 * [taylor]: Taking taylor expansion of 2.0 in n 3.970 * [backup-simplify]: Simplify 2.0 into 2.0 3.970 * [taylor]: Taking taylor expansion of (* n PI) in n 3.971 * [taylor]: Taking taylor expansion of n in n 3.971 * [backup-simplify]: Simplify 0 into 0 3.971 * [backup-simplify]: Simplify 1 into 1 3.971 * [taylor]: Taking taylor expansion of PI in n 3.971 * [backup-simplify]: Simplify PI into PI 3.971 * [backup-simplify]: Simplify (* 0 PI) into 0 3.972 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.973 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.975 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.976 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.977 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.979 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.982 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))) 3.984 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) 3.985 * [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)) 3.986 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.987 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.988 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 3.990 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) 3.991 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) 3.993 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))))))) 4.000 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) 4.006 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (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) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (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) (pow (log n) 2)))))))))) 4.021 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (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) (pow (log n) 2))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) 4.035 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) 4.045 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +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 n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) 4.060 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +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 n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))))))))))))))))))) 4.061 * [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 (- 1.0 (/ 1 k)))) (sqrt k))) 4.061 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (k n) around 0 4.061 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in n 4.061 * [taylor]: Taking taylor expansion of 1.0 in n 4.061 * [backup-simplify]: Simplify 1.0 into 1.0 4.061 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in n 4.061 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.061 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.061 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.061 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.061 * [taylor]: Taking taylor expansion of 0.5 in n 4.061 * [backup-simplify]: Simplify 0.5 into 0.5 4.061 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.061 * [taylor]: Taking taylor expansion of 1.0 in n 4.061 * [backup-simplify]: Simplify 1.0 into 1.0 4.061 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.061 * [taylor]: Taking taylor expansion of k in n 4.061 * [backup-simplify]: Simplify k into k 4.061 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.061 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.061 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.061 * [taylor]: Taking taylor expansion of 2.0 in n 4.062 * [backup-simplify]: Simplify 2.0 into 2.0 4.062 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.062 * [taylor]: Taking taylor expansion of PI in n 4.062 * [backup-simplify]: Simplify PI into PI 4.062 * [taylor]: Taking taylor expansion of n in n 4.062 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify 1 into 1 4.062 * [backup-simplify]: Simplify (/ PI 1) into PI 4.062 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.063 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.063 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.063 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.063 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.068 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.069 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 4.070 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 4.070 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.070 * [taylor]: Taking taylor expansion of k in n 4.070 * [backup-simplify]: Simplify k into k 4.070 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 4.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 4.070 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 4.070 * [taylor]: Taking taylor expansion of 1.0 in k 4.070 * [backup-simplify]: Simplify 1.0 into 1.0 4.070 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 4.070 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.070 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.070 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.070 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.070 * [taylor]: Taking taylor expansion of 0.5 in k 4.070 * [backup-simplify]: Simplify 0.5 into 0.5 4.070 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.070 * [taylor]: Taking taylor expansion of 1.0 in k 4.070 * [backup-simplify]: Simplify 1.0 into 1.0 4.070 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.070 * [taylor]: Taking taylor expansion of k in k 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify 1 into 1 4.070 * [backup-simplify]: Simplify (/ 1 1) into 1 4.071 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.071 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.071 * [taylor]: Taking taylor expansion of 2.0 in k 4.071 * [backup-simplify]: Simplify 2.0 into 2.0 4.071 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.071 * [taylor]: Taking taylor expansion of PI in k 4.071 * [backup-simplify]: Simplify PI into PI 4.071 * [taylor]: Taking taylor expansion of n in k 4.071 * [backup-simplify]: Simplify n into n 4.071 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.071 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.071 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.071 * [backup-simplify]: Simplify (- 1) into -1 4.071 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.072 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.072 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.072 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 4.072 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.072 * [taylor]: Taking taylor expansion of k in k 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 1 into 1 4.072 * [backup-simplify]: Simplify (sqrt 0) into 0 4.073 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.073 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 4.073 * [taylor]: Taking taylor expansion of 1.0 in k 4.073 * [backup-simplify]: Simplify 1.0 into 1.0 4.073 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 4.073 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.073 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.073 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.073 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.073 * [taylor]: Taking taylor expansion of 0.5 in k 4.073 * [backup-simplify]: Simplify 0.5 into 0.5 4.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.073 * [taylor]: Taking taylor expansion of 1.0 in k 4.073 * [backup-simplify]: Simplify 1.0 into 1.0 4.073 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.073 * [taylor]: Taking taylor expansion of k in k 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 1 into 1 4.074 * [backup-simplify]: Simplify (/ 1 1) into 1 4.074 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.074 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.074 * [taylor]: Taking taylor expansion of 2.0 in k 4.074 * [backup-simplify]: Simplify 2.0 into 2.0 4.074 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.074 * [taylor]: Taking taylor expansion of PI in k 4.074 * [backup-simplify]: Simplify PI into PI 4.074 * [taylor]: Taking taylor expansion of n in k 4.074 * [backup-simplify]: Simplify n into n 4.074 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.074 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.074 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.074 * [backup-simplify]: Simplify (- 1) into -1 4.074 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.075 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.075 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.075 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 4.075 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.075 * [taylor]: Taking taylor expansion of k in k 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 1 into 1 4.075 * [backup-simplify]: Simplify (sqrt 0) into 0 4.076 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.076 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 0) into 0 4.077 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.077 * [taylor]: Taking taylor expansion of 0 in n 4.077 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 4.077 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 4.078 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 4.078 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 4.078 * [taylor]: Taking taylor expansion of +nan.0 in n 4.078 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.078 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 4.078 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 4.078 * [taylor]: Taking taylor expansion of 0.5 in n 4.078 * [backup-simplify]: Simplify 0.5 into 0.5 4.078 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 4.078 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.078 * [taylor]: Taking taylor expansion of 1.0 in n 4.078 * [backup-simplify]: Simplify 1.0 into 1.0 4.078 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.078 * [taylor]: Taking taylor expansion of k in n 4.078 * [backup-simplify]: Simplify k into k 4.078 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.078 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.078 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.078 * [taylor]: Taking taylor expansion of 2.0 in n 4.078 * [backup-simplify]: Simplify 2.0 into 2.0 4.078 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.078 * [taylor]: Taking taylor expansion of PI in n 4.078 * [backup-simplify]: Simplify PI into PI 4.078 * [taylor]: Taking taylor expansion of n in n 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 1 into 1 4.078 * [backup-simplify]: Simplify (/ PI 1) into PI 4.079 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.079 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.079 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.079 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.080 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.081 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 4.082 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 4.083 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 4.083 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 4.084 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 4.085 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 4.085 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.088 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 4.088 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 4.088 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 4.088 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 4.088 * [taylor]: Taking taylor expansion of +nan.0 in n 4.088 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.088 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 4.088 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 4.088 * [taylor]: Taking taylor expansion of 0.5 in n 4.088 * [backup-simplify]: Simplify 0.5 into 0.5 4.088 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 4.088 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.089 * [taylor]: Taking taylor expansion of 1.0 in n 4.089 * [backup-simplify]: Simplify 1.0 into 1.0 4.089 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.089 * [taylor]: Taking taylor expansion of k in n 4.089 * [backup-simplify]: Simplify k into k 4.089 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.089 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.089 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.089 * [taylor]: Taking taylor expansion of 2.0 in n 4.089 * [backup-simplify]: Simplify 2.0 into 2.0 4.089 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.089 * [taylor]: Taking taylor expansion of PI in n 4.089 * [backup-simplify]: Simplify PI into PI 4.089 * [taylor]: Taking taylor expansion of n in n 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 1 into 1 4.089 * [backup-simplify]: Simplify (/ PI 1) into PI 4.089 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.090 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.090 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.090 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.091 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.092 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 4.093 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 4.093 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 4.094 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 4.095 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 4.096 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 4.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.097 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.098 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.098 * [backup-simplify]: Simplify (- 0) into 0 4.099 * [backup-simplify]: Simplify (+ 0 0) into 0 4.099 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.100 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 4.101 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into 0 4.102 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.103 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into 0 4.104 * [backup-simplify]: Simplify (- 0) into 0 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.107 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 4.108 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 4.108 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 4.108 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 4.108 * [taylor]: Taking taylor expansion of +nan.0 in n 4.108 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.108 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 4.108 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 4.108 * [taylor]: Taking taylor expansion of 0.5 in n 4.108 * [backup-simplify]: Simplify 0.5 into 0.5 4.108 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 4.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.108 * [taylor]: Taking taylor expansion of 1.0 in n 4.108 * [backup-simplify]: Simplify 1.0 into 1.0 4.108 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.108 * [taylor]: Taking taylor expansion of k in n 4.108 * [backup-simplify]: Simplify k into k 4.108 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.108 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.108 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.108 * [taylor]: Taking taylor expansion of 2.0 in n 4.108 * [backup-simplify]: Simplify 2.0 into 2.0 4.108 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.108 * [taylor]: Taking taylor expansion of PI in n 4.108 * [backup-simplify]: Simplify PI into PI 4.108 * [taylor]: Taking taylor expansion of n in n 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 1 into 1 4.109 * [backup-simplify]: Simplify (/ PI 1) into PI 4.109 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.110 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.110 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.110 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.111 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.112 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 4.113 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 4.115 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 4.116 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 4.117 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 4.119 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 4.124 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +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)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 4.125 * [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)))) 4.125 * [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 4.125 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.125 * [taylor]: Taking taylor expansion of 1.0 in n 4.125 * [backup-simplify]: Simplify 1.0 into 1.0 4.125 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.125 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.125 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.125 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.125 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.125 * [taylor]: Taking taylor expansion of 0.5 in n 4.125 * [backup-simplify]: Simplify 0.5 into 0.5 4.125 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.125 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.125 * [taylor]: Taking taylor expansion of k in n 4.125 * [backup-simplify]: Simplify k into k 4.126 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.126 * [taylor]: Taking taylor expansion of 1.0 in n 4.126 * [backup-simplify]: Simplify 1.0 into 1.0 4.126 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.126 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.126 * [taylor]: Taking taylor expansion of -2.0 in n 4.126 * [backup-simplify]: Simplify -2.0 into -2.0 4.126 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.126 * [taylor]: Taking taylor expansion of PI in n 4.126 * [backup-simplify]: Simplify PI into PI 4.126 * [taylor]: Taking taylor expansion of n in n 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 1 into 1 4.126 * [backup-simplify]: Simplify (/ PI 1) into PI 4.127 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.127 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.127 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.127 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.128 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.129 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 4.130 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 4.130 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.130 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.130 * [taylor]: Taking taylor expansion of -1 in n 4.130 * [backup-simplify]: Simplify -1 into -1 4.130 * [taylor]: Taking taylor expansion of k in n 4.130 * [backup-simplify]: Simplify k into k 4.130 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 4.130 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 4.130 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 4.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 4.131 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) 4.131 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.131 * [taylor]: Taking taylor expansion of 1.0 in k 4.131 * [backup-simplify]: Simplify 1.0 into 1.0 4.131 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.131 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.131 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.131 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.131 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.131 * [taylor]: Taking taylor expansion of 0.5 in k 4.131 * [backup-simplify]: Simplify 0.5 into 0.5 4.131 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.131 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.131 * [taylor]: Taking taylor expansion of k in k 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 1 into 1 4.131 * [backup-simplify]: Simplify (/ 1 1) into 1 4.131 * [taylor]: Taking taylor expansion of 1.0 in k 4.131 * [backup-simplify]: Simplify 1.0 into 1.0 4.131 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.131 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.132 * [taylor]: Taking taylor expansion of -2.0 in k 4.132 * [backup-simplify]: Simplify -2.0 into -2.0 4.132 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.132 * [taylor]: Taking taylor expansion of PI in k 4.132 * [backup-simplify]: Simplify PI into PI 4.132 * [taylor]: Taking taylor expansion of n in k 4.132 * [backup-simplify]: Simplify n into n 4.132 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.132 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.132 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.132 * [backup-simplify]: Simplify (+ 1 0) into 1 4.132 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.132 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.133 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 4.133 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.133 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.133 * [taylor]: Taking taylor expansion of -1 in k 4.133 * [backup-simplify]: Simplify -1 into -1 4.133 * [taylor]: Taking taylor expansion of k in k 4.133 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify 1 into 1 4.133 * [backup-simplify]: Simplify (/ -1 1) into -1 4.133 * [backup-simplify]: Simplify (sqrt 0) into 0 4.134 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.134 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 4.134 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.134 * [taylor]: Taking taylor expansion of 1.0 in k 4.134 * [backup-simplify]: Simplify 1.0 into 1.0 4.134 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.134 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.134 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.134 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.134 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.134 * [taylor]: Taking taylor expansion of 0.5 in k 4.134 * [backup-simplify]: Simplify 0.5 into 0.5 4.134 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.134 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.134 * [taylor]: Taking taylor expansion of k in k 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.135 * [backup-simplify]: Simplify (/ 1 1) into 1 4.135 * [taylor]: Taking taylor expansion of 1.0 in k 4.135 * [backup-simplify]: Simplify 1.0 into 1.0 4.135 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.135 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.135 * [taylor]: Taking taylor expansion of -2.0 in k 4.135 * [backup-simplify]: Simplify -2.0 into -2.0 4.135 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.135 * [taylor]: Taking taylor expansion of PI in k 4.135 * [backup-simplify]: Simplify PI into PI 4.135 * [taylor]: Taking taylor expansion of n in k 4.135 * [backup-simplify]: Simplify n into n 4.135 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.135 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.135 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.135 * [backup-simplify]: Simplify (+ 1 0) into 1 4.136 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.136 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.136 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 4.136 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.136 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.136 * [taylor]: Taking taylor expansion of -1 in k 4.136 * [backup-simplify]: Simplify -1 into -1 4.136 * [taylor]: Taking taylor expansion of k in k 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify 1 into 1 4.136 * [backup-simplify]: Simplify (/ -1 1) into -1 4.137 * [backup-simplify]: Simplify (sqrt 0) into 0 4.138 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.138 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 4.138 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 4.138 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 4.138 * [taylor]: Taking taylor expansion of +nan.0 in n 4.138 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.138 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 4.138 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 4.138 * [taylor]: Taking taylor expansion of 0.5 in n 4.138 * [backup-simplify]: Simplify 0.5 into 0.5 4.138 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 4.138 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.138 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.138 * [taylor]: Taking taylor expansion of -2.0 in n 4.138 * [backup-simplify]: Simplify -2.0 into -2.0 4.138 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.138 * [taylor]: Taking taylor expansion of PI in n 4.138 * [backup-simplify]: Simplify PI into PI 4.138 * [taylor]: Taking taylor expansion of n in n 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 1 into 1 4.139 * [backup-simplify]: Simplify (/ PI 1) into PI 4.139 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.140 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.140 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.140 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.140 * [taylor]: Taking taylor expansion of k in n 4.140 * [backup-simplify]: Simplify k into k 4.140 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.140 * [taylor]: Taking taylor expansion of 1.0 in n 4.140 * [backup-simplify]: Simplify 1.0 into 1.0 4.141 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.141 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.142 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 4.142 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 4.143 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 4.144 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 4.145 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 4.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.147 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.148 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 4.148 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 4.148 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 4.148 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 4.148 * [taylor]: Taking taylor expansion of +nan.0 in n 4.148 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.148 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 4.148 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 4.148 * [taylor]: Taking taylor expansion of 0.5 in n 4.148 * [backup-simplify]: Simplify 0.5 into 0.5 4.148 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 4.148 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.148 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.148 * [taylor]: Taking taylor expansion of -2.0 in n 4.148 * [backup-simplify]: Simplify -2.0 into -2.0 4.148 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.148 * [taylor]: Taking taylor expansion of PI in n 4.148 * [backup-simplify]: Simplify PI into PI 4.148 * [taylor]: Taking taylor expansion of n in n 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 1 into 1 4.149 * [backup-simplify]: Simplify (/ PI 1) into PI 4.149 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.150 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.150 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.150 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.150 * [taylor]: Taking taylor expansion of k in n 4.150 * [backup-simplify]: Simplify k into k 4.150 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.150 * [taylor]: Taking taylor expansion of 1.0 in n 4.150 * [backup-simplify]: Simplify 1.0 into 1.0 4.151 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.151 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.152 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 4.152 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 4.153 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 4.154 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 4.155 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 4.157 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 4.158 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.159 * [backup-simplify]: Simplify (+ 0 0) into 0 4.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.160 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.164 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.166 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into 0 4.168 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.169 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.182 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 4.183 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 4.184 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 4.184 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 4.184 * [taylor]: Taking taylor expansion of +nan.0 in n 4.184 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.184 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 4.184 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 4.184 * [taylor]: Taking taylor expansion of 0.5 in n 4.184 * [backup-simplify]: Simplify 0.5 into 0.5 4.184 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 4.184 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.184 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.184 * [taylor]: Taking taylor expansion of -2.0 in n 4.184 * [backup-simplify]: Simplify -2.0 into -2.0 4.184 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.184 * [taylor]: Taking taylor expansion of PI in n 4.184 * [backup-simplify]: Simplify PI into PI 4.184 * [taylor]: Taking taylor expansion of n in n 4.184 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify 1 into 1 4.185 * [backup-simplify]: Simplify (/ PI 1) into PI 4.185 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.187 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.187 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.187 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.187 * [taylor]: Taking taylor expansion of k in n 4.187 * [backup-simplify]: Simplify k into k 4.187 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.187 * [taylor]: Taking taylor expansion of 1.0 in n 4.187 * [backup-simplify]: Simplify 1.0 into 1.0 4.188 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.188 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.190 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 4.191 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 4.192 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 4.193 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 4.195 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 4.196 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 4.201 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 4.201 * * * [progress]: simplifying candidates 4.206 * [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 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PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))))))))))))))))))) (- (+ (* +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)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 4.213 * * [simplify]: iteration 0: 361 enodes 4.362 * * [simplify]: iteration 1: 1004 enodes 4.936 * * [simplify]: iteration 2: 3343 enodes 6.328 * * [simplify]: iteration complete: 5000 enodes 6.328 * * [simplify]: Extracting #0: cost 125 inf + 0 6.331 * * [simplify]: Extracting #1: cost 616 inf + 2 6.338 * * [simplify]: Extracting #2: cost 1050 inf + 2428 6.355 * * [simplify]: Extracting #3: cost 1037 inf + 36199 6.413 * * [simplify]: Extracting #4: cost 719 inf + 136700 6.491 * * [simplify]: Extracting #5: cost 401 inf + 307840 6.631 * * [simplify]: Extracting #6: cost 262 inf + 415089 6.783 * * [simplify]: Extracting #7: cost 85 inf + 586612 6.972 * * [simplify]: Extracting #8: cost 16 inf + 663737 7.188 * * [simplify]: Extracting #9: cost 0 inf + 674163 7.384 * * [simplify]: Extracting #10: cost 0 inf + 672493 7.629 * * [simplify]: Extracting #11: cost 0 inf + 672253 7.822 * * [simplify]: Extracting #12: cost 0 inf + 672203 8.060 * [simplify]: Simplified to: (expm1 (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (log1p (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0)))) (* (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0)))) (* (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0)))) (* (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0)))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* n (* PI 2.0)) (/ 1.0 2.0)) (pow (* n (* PI 2.0)) (/ k 2.0)) (pow (* n (* PI 2.0)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* n (* PI 2.0)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* n (* PI 2.0)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* n (* PI 2.0)) (sqrt (- 1.0 k))) (pow (* n (* PI 2.0)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* n (* PI 2.0)) (/ 1 (sqrt 2.0))) (* n (* PI 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(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 (* n (* PI 2.0))) (log1p (* n (* PI 2.0))) (* n (* PI 2.0)) (* n (* PI 2.0)) (log (* n (* PI 2.0))) (log (* n (* PI 2.0))) (log (* n (* PI 2.0))) (exp (* n (* PI 2.0))) (* (* (* n (* PI 2.0)) (* n (* PI 2.0))) (* n (* PI 2.0))) (* (* (* n (* PI 2.0)) (* n (* PI 2.0))) (* n (* PI 2.0))) (* (cbrt (* n (* PI 2.0))) (cbrt (* n (* PI 2.0)))) (cbrt (* n (* PI 2.0))) (* (* (* n (* PI 2.0)) (* n (* PI 2.0))) (* n (* PI 2.0))) (sqrt (* n (* PI 2.0))) (sqrt (* n (* PI 2.0))) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* 2.0 (* (sqrt n) PI)) (* PI 2.0) (* n PI) (expm1 (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (exp (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (* (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))))) (* (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (* (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (* (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (* (pow (* n (* PI 2.0)) (/ 1.0 2.0)) 1.0) (* (sqrt k) (pow (* n (* PI 2.0)) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (* (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (/ 1.0 (sqrt k)))) (* (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (/ 1.0 (sqrt k)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))) (* (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))) (* (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (cbrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k)))) (/ 1.0 (/ (sqrt k) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (cbrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (/ (* (cbrt 1.0) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt k))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (/ (* (sqrt 1.0) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (sqrt 1.0) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (sqrt 1.0) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (sqrt 1.0) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ 1.0 (cbrt (sqrt k))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (/ (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* 1.0 (pow (* n (* PI 2.0)) (/ 1.0 2.0))) (sqrt k)) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) 1.0) (fma (* (* (log (* PI 2.0)) (exp (* (log (* n (* PI 2.0))) 0.5))) (* (log n) (* k k))) 0.25 (- (fma 0.125 (* (* (log n) (log n)) (* (* k k) (exp (* (log (* n (* PI 2.0))) 0.5)))) (fma (* (* (log (* PI 2.0)) (log (* PI 2.0))) 0.125) (* (* k k) (exp (* (log (* n (* PI 2.0))) 0.5))) (exp (* (log (* n (* PI 2.0))) 0.5)))) (* 0.5 (* k (fma (exp (* (log (* n (* PI 2.0))) 0.5)) (log n) (* (log (* PI 2.0)) (exp (* (log (* n (* PI 2.0))) 0.5)))))))) (exp (* (* 0.5 (- 1.0 k)) (log (* n (* PI 2.0))))) (exp (* (- (log (* -2.0 PI)) (log (/ -1 n))) (* 0.5 (- 1.0 k)))) (fma +nan.0 (- (* k k)) (- +nan.0 (* k +nan.0))) (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) (/ +nan.0 (* k (* k k))))) (- (- (fma (/ +nan.0 k) (/ 1 k) +nan.0) (/ +nan.0 k))) (* n (* PI 2.0)) (* n (* PI 2.0)) (* n (* PI 2.0)) (fma (- (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0)) k (fma (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0) (* k k) (fma (- (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0)) (* (log n) (* k k)) (+ (fma (- (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0)) (* (* k (log (* PI 2.0))) (* k (log (* PI 2.0)))) (fma (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0) (* (log n) (* (log (* PI 2.0)) (* k k))) (fma (- (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0)) (* (log (* PI 2.0)) k) (fma (* (log n) k) (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0) (fma (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0) (- (* (log (* PI 2.0)) (* k k))) (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (* +nan.0 (* (* (log n) k) (* (log n) k))))))))) (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0))))) (fma (- +nan.0) (/ (exp (* (* 0.5 (- 1.0 k)) (log (* n (* PI 2.0))))) (* k k)) (* +nan.0 (+ (/ (exp (* (* 0.5 (- 1.0 k)) (log (* n (* PI 2.0))))) k) (/ (- (exp (* (* 0.5 (- 1.0 k)) (log (* n (* PI 2.0)))))) (* k (* k k)))))) (fma (exp (* (- (log (* -2.0 PI)) (log (/ -1 n))) (* 0.5 (- 1.0 k)))) (- +nan.0) (fma +nan.0 (/ (exp (* (- (log (* -2.0 PI)) (log (/ -1 n))) (* 0.5 (- 1.0 k)))) k) (* (/ (exp (* (- (log (* -2.0 PI)) (log (/ -1 n))) (* 0.5 (- 1.0 k)))) k) (/ (- +nan.0) k)))) 8.072 * * * [progress]: adding candidates to table 9.144 * * [progress]: iteration 2 / 4 9.144 * * * [progress]: picking best candidate 9.208 * * * * [pick]: Picked # 9.208 * * * [progress]: localizing error 9.251 * * * [progress]: generating rewritten candidates 9.251 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 9.290 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 9.331 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 9.341 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 9.394 * * * [progress]: generating series expansions 9.394 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 9.395 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 9.395 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 9.395 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 9.395 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 9.395 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 9.395 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 9.395 * [taylor]: Taking taylor expansion of 0.25 in k 9.395 * [backup-simplify]: Simplify 0.25 into 0.25 9.395 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.396 * [taylor]: Taking taylor expansion of 1.0 in k 9.396 * [backup-simplify]: Simplify 1.0 into 1.0 9.396 * [taylor]: Taking taylor expansion of k in k 9.396 * [backup-simplify]: Simplify 0 into 0 9.396 * [backup-simplify]: Simplify 1 into 1 9.396 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 9.396 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 9.396 * [taylor]: Taking taylor expansion of 2.0 in k 9.396 * [backup-simplify]: Simplify 2.0 into 2.0 9.396 * [taylor]: Taking taylor expansion of (* n PI) in k 9.396 * [taylor]: Taking taylor expansion of n in k 9.396 * [backup-simplify]: Simplify n into n 9.396 * [taylor]: Taking taylor expansion of PI in k 9.396 * [backup-simplify]: Simplify PI into PI 9.396 * [backup-simplify]: Simplify (* n PI) into (* n PI) 9.396 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 9.396 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 9.397 * [backup-simplify]: Simplify (- 0) into 0 9.397 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.398 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 9.398 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 9.398 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 9.398 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 9.398 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 9.398 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 9.398 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 9.398 * [taylor]: Taking taylor expansion of 0.25 in n 9.398 * [backup-simplify]: Simplify 0.25 into 0.25 9.398 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.398 * [taylor]: Taking taylor expansion of 1.0 in n 9.398 * [backup-simplify]: Simplify 1.0 into 1.0 9.398 * [taylor]: Taking taylor expansion of k in n 9.398 * [backup-simplify]: Simplify k into k 9.398 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.398 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.398 * [taylor]: Taking taylor expansion of 2.0 in n 9.398 * [backup-simplify]: Simplify 2.0 into 2.0 9.398 * [taylor]: Taking taylor expansion of (* n PI) in n 9.398 * [taylor]: Taking taylor expansion of n in n 9.398 * [backup-simplify]: Simplify 0 into 0 9.398 * [backup-simplify]: Simplify 1 into 1 9.398 * [taylor]: Taking taylor expansion of PI in n 9.399 * [backup-simplify]: Simplify PI into PI 9.399 * [backup-simplify]: Simplify (* 0 PI) into 0 9.399 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.401 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.403 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.404 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.404 * [backup-simplify]: Simplify (- k) into (- k) 9.404 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.404 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 9.406 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.407 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 9.407 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 9.407 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 9.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 9.407 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 9.407 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 9.407 * [taylor]: Taking taylor expansion of 0.25 in n 9.407 * [backup-simplify]: Simplify 0.25 into 0.25 9.407 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.407 * [taylor]: Taking taylor expansion of 1.0 in n 9.407 * [backup-simplify]: Simplify 1.0 into 1.0 9.408 * [taylor]: Taking taylor expansion of k in n 9.408 * [backup-simplify]: Simplify k into k 9.408 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.408 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.408 * [taylor]: Taking taylor expansion of 2.0 in n 9.408 * [backup-simplify]: Simplify 2.0 into 2.0 9.408 * [taylor]: Taking taylor expansion of (* n PI) in n 9.408 * [taylor]: Taking taylor expansion of n in n 9.408 * [backup-simplify]: Simplify 0 into 0 9.408 * [backup-simplify]: Simplify 1 into 1 9.408 * [taylor]: Taking taylor expansion of PI in n 9.408 * [backup-simplify]: Simplify PI into PI 9.408 * [backup-simplify]: Simplify (* 0 PI) into 0 9.408 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.409 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.410 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.411 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.411 * [backup-simplify]: Simplify (- k) into (- k) 9.411 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.411 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 9.412 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.413 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 9.414 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 9.414 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 9.414 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 9.414 * [taylor]: Taking taylor expansion of 0.25 in k 9.414 * [backup-simplify]: Simplify 0.25 into 0.25 9.414 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 9.414 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.414 * [taylor]: Taking taylor expansion of 1.0 in k 9.414 * [backup-simplify]: Simplify 1.0 into 1.0 9.414 * [taylor]: Taking taylor expansion of k in k 9.414 * [backup-simplify]: Simplify 0 into 0 9.414 * [backup-simplify]: Simplify 1 into 1 9.414 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 9.414 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.414 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.414 * [taylor]: Taking taylor expansion of 2.0 in k 9.414 * [backup-simplify]: Simplify 2.0 into 2.0 9.414 * [taylor]: Taking taylor expansion of PI in k 9.414 * [backup-simplify]: Simplify PI into PI 9.414 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.415 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.415 * [taylor]: Taking taylor expansion of (log n) in k 9.415 * [taylor]: Taking taylor expansion of n in k 9.415 * [backup-simplify]: Simplify n into n 9.415 * [backup-simplify]: Simplify (log n) into (log n) 9.415 * [backup-simplify]: Simplify (- 0) into 0 9.416 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.416 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 9.417 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 9.418 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 9.419 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 9.419 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 9.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.421 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 9.422 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.422 * [backup-simplify]: Simplify (- 0) into 0 9.422 * [backup-simplify]: Simplify (+ 0 0) into 0 9.422 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 9.423 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.424 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 9.425 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.425 * [taylor]: Taking taylor expansion of 0 in k 9.425 * [backup-simplify]: Simplify 0 into 0 9.425 * [backup-simplify]: Simplify 0 into 0 9.426 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 9.428 * [backup-simplify]: Simplify (+ 0 0) into 0 9.428 * [backup-simplify]: Simplify (- 1) into -1 9.428 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.429 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 9.431 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 9.433 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) 9.435 * [backup-simplify]: Simplify (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) 9.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.438 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.441 * [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 9.442 * [backup-simplify]: Simplify (- 0) into 0 9.442 * [backup-simplify]: Simplify (+ 0 0) into 0 9.443 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 9.445 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.446 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 9.449 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.449 * [taylor]: Taking taylor expansion of 0 in k 9.449 * [backup-simplify]: Simplify 0 into 0 9.449 * [backup-simplify]: Simplify 0 into 0 9.449 * [backup-simplify]: Simplify 0 into 0 9.450 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.454 * [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 9.456 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 9.456 * [backup-simplify]: Simplify (+ 0 0) into 0 9.457 * [backup-simplify]: Simplify (- 0) into 0 9.457 * [backup-simplify]: Simplify (+ 0 0) into 0 9.459 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 9.462 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 9.466 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 9.472 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 9.482 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))))) 9.483 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 9.483 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 9.483 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 9.484 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 9.484 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 9.484 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 9.484 * [taylor]: Taking taylor expansion of 0.25 in k 9.484 * [backup-simplify]: Simplify 0.25 into 0.25 9.484 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.484 * [taylor]: Taking taylor expansion of 1.0 in k 9.484 * [backup-simplify]: Simplify 1.0 into 1.0 9.484 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.484 * [taylor]: Taking taylor expansion of k in k 9.484 * [backup-simplify]: Simplify 0 into 0 9.484 * [backup-simplify]: Simplify 1 into 1 9.484 * [backup-simplify]: Simplify (/ 1 1) into 1 9.484 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.484 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.484 * [taylor]: Taking taylor expansion of 2.0 in k 9.484 * [backup-simplify]: Simplify 2.0 into 2.0 9.484 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.484 * [taylor]: Taking taylor expansion of PI in k 9.484 * [backup-simplify]: Simplify PI into PI 9.484 * [taylor]: Taking taylor expansion of n in k 9.485 * [backup-simplify]: Simplify n into n 9.485 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.485 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 9.485 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 9.485 * [backup-simplify]: Simplify (- 1) into -1 9.486 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.486 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 9.486 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 9.486 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 9.487 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 9.487 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.487 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.487 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 9.487 * [taylor]: Taking taylor expansion of 0.25 in n 9.487 * [backup-simplify]: Simplify 0.25 into 0.25 9.487 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.487 * [taylor]: Taking taylor expansion of 1.0 in n 9.487 * [backup-simplify]: Simplify 1.0 into 1.0 9.487 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.487 * [taylor]: Taking taylor expansion of k in n 9.487 * [backup-simplify]: Simplify k into k 9.487 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.487 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.487 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.487 * [taylor]: Taking taylor expansion of 2.0 in n 9.487 * [backup-simplify]: Simplify 2.0 into 2.0 9.487 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.487 * [taylor]: Taking taylor expansion of PI in n 9.487 * [backup-simplify]: Simplify PI into PI 9.487 * [taylor]: Taking taylor expansion of n in n 9.487 * [backup-simplify]: Simplify 0 into 0 9.487 * [backup-simplify]: Simplify 1 into 1 9.488 * [backup-simplify]: Simplify (/ PI 1) into PI 9.488 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.489 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.489 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.489 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.490 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 9.491 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.492 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 9.494 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 9.494 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 9.494 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.494 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.494 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 9.494 * [taylor]: Taking taylor expansion of 0.25 in n 9.494 * [backup-simplify]: Simplify 0.25 into 0.25 9.494 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.494 * [taylor]: Taking taylor expansion of 1.0 in n 9.494 * [backup-simplify]: Simplify 1.0 into 1.0 9.494 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.494 * [taylor]: Taking taylor expansion of k in n 9.494 * [backup-simplify]: Simplify k into k 9.494 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.494 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.494 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.494 * [taylor]: Taking taylor expansion of 2.0 in n 9.494 * [backup-simplify]: Simplify 2.0 into 2.0 9.494 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.494 * [taylor]: Taking taylor expansion of PI in n 9.494 * [backup-simplify]: Simplify PI into PI 9.494 * [taylor]: Taking taylor expansion of n in n 9.494 * [backup-simplify]: Simplify 0 into 0 9.494 * [backup-simplify]: Simplify 1 into 1 9.495 * [backup-simplify]: Simplify (/ PI 1) into PI 9.495 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.497 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.497 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.497 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.497 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 9.498 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.500 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 9.501 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 9.501 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 9.501 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 9.501 * [taylor]: Taking taylor expansion of 0.25 in k 9.501 * [backup-simplify]: Simplify 0.25 into 0.25 9.501 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 9.501 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.501 * [taylor]: Taking taylor expansion of 1.0 in k 9.501 * [backup-simplify]: Simplify 1.0 into 1.0 9.501 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.501 * [taylor]: Taking taylor expansion of k in k 9.501 * [backup-simplify]: Simplify 0 into 0 9.502 * [backup-simplify]: Simplify 1 into 1 9.502 * [backup-simplify]: Simplify (/ 1 1) into 1 9.502 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 9.502 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.502 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.502 * [taylor]: Taking taylor expansion of 2.0 in k 9.502 * [backup-simplify]: Simplify 2.0 into 2.0 9.502 * [taylor]: Taking taylor expansion of PI in k 9.502 * [backup-simplify]: Simplify PI into PI 9.503 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.504 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.504 * [taylor]: Taking taylor expansion of (log n) in k 9.504 * [taylor]: Taking taylor expansion of n in k 9.504 * [backup-simplify]: Simplify n into n 9.504 * [backup-simplify]: Simplify (log n) into (log n) 9.504 * [backup-simplify]: Simplify (- 1) into -1 9.505 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.505 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.506 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 9.507 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 9.508 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 9.509 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 9.511 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 9.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.513 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.515 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.515 * [backup-simplify]: Simplify (- 0) into 0 9.516 * [backup-simplify]: Simplify (+ 0 0) into 0 9.516 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 9.518 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.519 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 9.521 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.521 * [taylor]: Taking taylor expansion of 0 in k 9.521 * [backup-simplify]: Simplify 0 into 0 9.521 * [backup-simplify]: Simplify 0 into 0 9.521 * [backup-simplify]: Simplify 0 into 0 9.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.524 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.533 * [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 9.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.534 * [backup-simplify]: Simplify (- 0) into 0 9.535 * [backup-simplify]: Simplify (+ 0 0) into 0 9.536 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 9.537 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.539 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 9.542 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.542 * [taylor]: Taking taylor expansion of 0 in k 9.542 * [backup-simplify]: Simplify 0 into 0 9.542 * [backup-simplify]: Simplify 0 into 0 9.542 * [backup-simplify]: Simplify 0 into 0 9.542 * [backup-simplify]: Simplify 0 into 0 9.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.544 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.551 * [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 9.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.552 * [backup-simplify]: Simplify (- 0) into 0 9.553 * [backup-simplify]: Simplify (+ 0 0) into 0 9.554 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 9.556 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.559 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 9.562 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.562 * [taylor]: Taking taylor expansion of 0 in k 9.562 * [backup-simplify]: Simplify 0 into 0 9.562 * [backup-simplify]: Simplify 0 into 0 9.563 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 9.564 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 9.564 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 9.564 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 9.564 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 9.564 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 9.564 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 9.564 * [taylor]: Taking taylor expansion of 0.25 in k 9.564 * [backup-simplify]: Simplify 0.25 into 0.25 9.564 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.564 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.564 * [taylor]: Taking taylor expansion of k in k 9.564 * [backup-simplify]: Simplify 0 into 0 9.564 * [backup-simplify]: Simplify 1 into 1 9.565 * [backup-simplify]: Simplify (/ 1 1) into 1 9.565 * [taylor]: Taking taylor expansion of 1.0 in k 9.565 * [backup-simplify]: Simplify 1.0 into 1.0 9.565 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 9.565 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 9.565 * [taylor]: Taking taylor expansion of -2.0 in k 9.565 * [backup-simplify]: Simplify -2.0 into -2.0 9.565 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.565 * [taylor]: Taking taylor expansion of PI in k 9.565 * [backup-simplify]: Simplify PI into PI 9.565 * [taylor]: Taking taylor expansion of n in k 9.565 * [backup-simplify]: Simplify n into n 9.565 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.565 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 9.565 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 9.566 * [backup-simplify]: Simplify (+ 1 0) into 1 9.566 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 9.567 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 9.567 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 9.567 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 9.567 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 9.567 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 9.567 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 9.567 * [taylor]: Taking taylor expansion of 0.25 in n 9.567 * [backup-simplify]: Simplify 0.25 into 0.25 9.567 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.567 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.567 * [taylor]: Taking taylor expansion of k in n 9.567 * [backup-simplify]: Simplify k into k 9.567 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.567 * [taylor]: Taking taylor expansion of 1.0 in n 9.567 * [backup-simplify]: Simplify 1.0 into 1.0 9.567 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.567 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.567 * [taylor]: Taking taylor expansion of -2.0 in n 9.567 * [backup-simplify]: Simplify -2.0 into -2.0 9.567 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.567 * [taylor]: Taking taylor expansion of PI in n 9.567 * [backup-simplify]: Simplify PI into PI 9.567 * [taylor]: Taking taylor expansion of n in n 9.567 * [backup-simplify]: Simplify 0 into 0 9.568 * [backup-simplify]: Simplify 1 into 1 9.568 * [backup-simplify]: Simplify (/ PI 1) into PI 9.569 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.570 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.570 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.570 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 9.571 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.573 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 9.574 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 9.574 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 9.574 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 9.574 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 9.574 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 9.574 * [taylor]: Taking taylor expansion of 0.25 in n 9.574 * [backup-simplify]: Simplify 0.25 into 0.25 9.574 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.574 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.574 * [taylor]: Taking taylor expansion of k in n 9.574 * [backup-simplify]: Simplify k into k 9.574 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.575 * [taylor]: Taking taylor expansion of 1.0 in n 9.575 * [backup-simplify]: Simplify 1.0 into 1.0 9.575 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.575 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.575 * [taylor]: Taking taylor expansion of -2.0 in n 9.575 * [backup-simplify]: Simplify -2.0 into -2.0 9.575 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.575 * [taylor]: Taking taylor expansion of PI in n 9.575 * [backup-simplify]: Simplify PI into PI 9.575 * [taylor]: Taking taylor expansion of n in n 9.575 * [backup-simplify]: Simplify 0 into 0 9.575 * [backup-simplify]: Simplify 1 into 1 9.575 * [backup-simplify]: Simplify (/ PI 1) into PI 9.576 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.577 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.577 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.577 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 9.579 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.580 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 9.581 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 9.581 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 9.581 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 9.581 * [taylor]: Taking taylor expansion of 0.25 in k 9.582 * [backup-simplify]: Simplify 0.25 into 0.25 9.582 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 9.582 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 9.582 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 9.582 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 9.582 * [taylor]: Taking taylor expansion of -2.0 in k 9.582 * [backup-simplify]: Simplify -2.0 into -2.0 9.582 * [taylor]: Taking taylor expansion of PI in k 9.582 * [backup-simplify]: Simplify PI into PI 9.582 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.583 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.583 * [taylor]: Taking taylor expansion of (log n) in k 9.584 * [taylor]: Taking taylor expansion of n in k 9.584 * [backup-simplify]: Simplify n into n 9.584 * [backup-simplify]: Simplify (log n) into (log n) 9.584 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.584 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.584 * [taylor]: Taking taylor expansion of k in k 9.584 * [backup-simplify]: Simplify 0 into 0 9.584 * [backup-simplify]: Simplify 1 into 1 9.584 * [backup-simplify]: Simplify (/ 1 1) into 1 9.584 * [taylor]: Taking taylor expansion of 1.0 in k 9.584 * [backup-simplify]: Simplify 1.0 into 1.0 9.584 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.586 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 9.586 * [backup-simplify]: Simplify (+ 1 0) into 1 9.587 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 9.589 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 9.590 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 9.592 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 9.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.593 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 9.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 9.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.596 * [backup-simplify]: Simplify (+ 0 0) into 0 9.597 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 9.598 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.599 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 9.601 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 9.602 * [taylor]: Taking taylor expansion of 0 in k 9.602 * [backup-simplify]: Simplify 0 into 0 9.602 * [backup-simplify]: Simplify 0 into 0 9.602 * [backup-simplify]: Simplify 0 into 0 9.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.604 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.608 * [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 9.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.608 * [backup-simplify]: Simplify (+ 0 0) into 0 9.609 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 9.611 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.612 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 9.615 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.615 * [taylor]: Taking taylor expansion of 0 in k 9.615 * [backup-simplify]: Simplify 0 into 0 9.615 * [backup-simplify]: Simplify 0 into 0 9.615 * [backup-simplify]: Simplify 0 into 0 9.615 * [backup-simplify]: Simplify 0 into 0 9.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.617 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.623 * [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 9.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.624 * [backup-simplify]: Simplify (+ 0 0) into 0 9.625 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 9.627 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.628 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 9.631 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.631 * [taylor]: Taking taylor expansion of 0 in k 9.631 * [backup-simplify]: Simplify 0 into 0 9.631 * [backup-simplify]: Simplify 0 into 0 9.633 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 9.633 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 9.634 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 9.634 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 9.634 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 9.634 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 9.634 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 9.634 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 9.634 * [taylor]: Taking taylor expansion of 0.25 in k 9.634 * [backup-simplify]: Simplify 0.25 into 0.25 9.634 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.634 * [taylor]: Taking taylor expansion of 1.0 in k 9.634 * [backup-simplify]: Simplify 1.0 into 1.0 9.634 * [taylor]: Taking taylor expansion of k in k 9.634 * [backup-simplify]: Simplify 0 into 0 9.634 * [backup-simplify]: Simplify 1 into 1 9.634 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 9.634 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 9.634 * [taylor]: Taking taylor expansion of 2.0 in k 9.634 * [backup-simplify]: Simplify 2.0 into 2.0 9.634 * [taylor]: Taking taylor expansion of (* n PI) in k 9.634 * [taylor]: Taking taylor expansion of n in k 9.634 * [backup-simplify]: Simplify n into n 9.634 * [taylor]: Taking taylor expansion of PI in k 9.634 * [backup-simplify]: Simplify PI into PI 9.634 * [backup-simplify]: Simplify (* n PI) into (* n PI) 9.634 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 9.635 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 9.635 * [backup-simplify]: Simplify (- 0) into 0 9.635 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.636 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 9.636 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 9.636 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 9.636 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 9.636 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 9.636 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 9.636 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 9.636 * [taylor]: Taking taylor expansion of 0.25 in n 9.636 * [backup-simplify]: Simplify 0.25 into 0.25 9.636 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.636 * [taylor]: Taking taylor expansion of 1.0 in n 9.636 * [backup-simplify]: Simplify 1.0 into 1.0 9.636 * [taylor]: Taking taylor expansion of k in n 9.636 * [backup-simplify]: Simplify k into k 9.637 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.637 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.637 * [taylor]: Taking taylor expansion of 2.0 in n 9.637 * [backup-simplify]: Simplify 2.0 into 2.0 9.637 * [taylor]: Taking taylor expansion of (* n PI) in n 9.637 * [taylor]: Taking taylor expansion of n in n 9.637 * [backup-simplify]: Simplify 0 into 0 9.637 * [backup-simplify]: Simplify 1 into 1 9.637 * [taylor]: Taking taylor expansion of PI in n 9.637 * [backup-simplify]: Simplify PI into PI 9.637 * [backup-simplify]: Simplify (* 0 PI) into 0 9.638 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.640 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.641 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.642 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.642 * [backup-simplify]: Simplify (- k) into (- k) 9.642 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.642 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 9.644 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.645 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 9.646 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 9.646 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 9.646 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 9.646 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 9.647 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 9.647 * [taylor]: Taking taylor expansion of 0.25 in n 9.647 * [backup-simplify]: Simplify 0.25 into 0.25 9.647 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.647 * [taylor]: Taking taylor expansion of 1.0 in n 9.647 * [backup-simplify]: Simplify 1.0 into 1.0 9.647 * [taylor]: Taking taylor expansion of k in n 9.647 * [backup-simplify]: Simplify k into k 9.647 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.647 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.647 * [taylor]: Taking taylor expansion of 2.0 in n 9.647 * [backup-simplify]: Simplify 2.0 into 2.0 9.647 * [taylor]: Taking taylor expansion of (* n PI) in n 9.647 * [taylor]: Taking taylor expansion of n in n 9.647 * [backup-simplify]: Simplify 0 into 0 9.647 * [backup-simplify]: Simplify 1 into 1 9.647 * [taylor]: Taking taylor expansion of PI in n 9.647 * [backup-simplify]: Simplify PI into PI 9.647 * [backup-simplify]: Simplify (* 0 PI) into 0 9.648 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.650 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.651 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.652 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.652 * [backup-simplify]: Simplify (- k) into (- k) 9.653 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.653 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 9.654 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.655 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 9.656 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 9.657 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 9.657 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 9.657 * [taylor]: Taking taylor expansion of 0.25 in k 9.657 * [backup-simplify]: Simplify 0.25 into 0.25 9.657 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 9.657 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.657 * [taylor]: Taking taylor expansion of 1.0 in k 9.657 * [backup-simplify]: Simplify 1.0 into 1.0 9.657 * [taylor]: Taking taylor expansion of k in k 9.657 * [backup-simplify]: Simplify 0 into 0 9.657 * [backup-simplify]: Simplify 1 into 1 9.657 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 9.657 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.657 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.657 * [taylor]: Taking taylor expansion of 2.0 in k 9.657 * [backup-simplify]: Simplify 2.0 into 2.0 9.657 * [taylor]: Taking taylor expansion of PI in k 9.657 * [backup-simplify]: Simplify PI into PI 9.658 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.659 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.659 * [taylor]: Taking taylor expansion of (log n) in k 9.659 * [taylor]: Taking taylor expansion of n in k 9.659 * [backup-simplify]: Simplify n into n 9.659 * [backup-simplify]: Simplify (log n) into (log n) 9.659 * [backup-simplify]: Simplify (- 0) into 0 9.660 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.661 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 9.662 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 9.663 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 9.664 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 9.665 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 9.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.667 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 9.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.670 * [backup-simplify]: Simplify (- 0) into 0 9.670 * [backup-simplify]: Simplify (+ 0 0) into 0 9.671 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 9.672 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.674 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 9.675 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.675 * [taylor]: Taking taylor expansion of 0 in k 9.675 * [backup-simplify]: Simplify 0 into 0 9.675 * [backup-simplify]: Simplify 0 into 0 9.675 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.676 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.677 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 9.677 * [backup-simplify]: Simplify (+ 0 0) into 0 9.677 * [backup-simplify]: Simplify (- 1) into -1 9.678 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.679 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 9.680 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 9.687 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) 9.689 * [backup-simplify]: Simplify (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) 9.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.690 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.692 * [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 9.693 * [backup-simplify]: Simplify (- 0) into 0 9.693 * [backup-simplify]: Simplify (+ 0 0) into 0 9.693 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 9.694 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.696 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 9.698 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.698 * [taylor]: Taking taylor expansion of 0 in k 9.698 * [backup-simplify]: Simplify 0 into 0 9.698 * [backup-simplify]: Simplify 0 into 0 9.698 * [backup-simplify]: Simplify 0 into 0 9.699 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.701 * [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 9.702 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 9.702 * [backup-simplify]: Simplify (+ 0 0) into 0 9.702 * [backup-simplify]: Simplify (- 0) into 0 9.703 * [backup-simplify]: Simplify (+ 0 0) into 0 9.704 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 9.705 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 9.708 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 9.711 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 9.718 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))))) 9.718 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 9.718 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 9.718 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 9.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 9.718 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 9.718 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 9.718 * [taylor]: Taking taylor expansion of 0.25 in k 9.718 * [backup-simplify]: Simplify 0.25 into 0.25 9.718 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.718 * [taylor]: Taking taylor expansion of 1.0 in k 9.718 * [backup-simplify]: Simplify 1.0 into 1.0 9.718 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.718 * [taylor]: Taking taylor expansion of k in k 9.718 * [backup-simplify]: Simplify 0 into 0 9.718 * [backup-simplify]: Simplify 1 into 1 9.719 * [backup-simplify]: Simplify (/ 1 1) into 1 9.719 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.719 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.719 * [taylor]: Taking taylor expansion of 2.0 in k 9.719 * [backup-simplify]: Simplify 2.0 into 2.0 9.719 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.719 * [taylor]: Taking taylor expansion of PI in k 9.719 * [backup-simplify]: Simplify PI into PI 9.719 * [taylor]: Taking taylor expansion of n in k 9.719 * [backup-simplify]: Simplify n into n 9.719 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.719 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 9.719 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 9.719 * [backup-simplify]: Simplify (- 1) into -1 9.719 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.720 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 9.720 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 9.720 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 9.720 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 9.720 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.720 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.720 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 9.720 * [taylor]: Taking taylor expansion of 0.25 in n 9.720 * [backup-simplify]: Simplify 0.25 into 0.25 9.720 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.720 * [taylor]: Taking taylor expansion of 1.0 in n 9.720 * [backup-simplify]: Simplify 1.0 into 1.0 9.720 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.720 * [taylor]: Taking taylor expansion of k in n 9.720 * [backup-simplify]: Simplify k into k 9.720 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.720 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.720 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.720 * [taylor]: Taking taylor expansion of 2.0 in n 9.720 * [backup-simplify]: Simplify 2.0 into 2.0 9.720 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.720 * [taylor]: Taking taylor expansion of PI in n 9.720 * [backup-simplify]: Simplify PI into PI 9.720 * [taylor]: Taking taylor expansion of n in n 9.720 * [backup-simplify]: Simplify 0 into 0 9.720 * [backup-simplify]: Simplify 1 into 1 9.721 * [backup-simplify]: Simplify (/ PI 1) into PI 9.721 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.722 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.722 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.722 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.722 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 9.723 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.723 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 9.724 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 9.724 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 9.724 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.724 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.724 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 9.724 * [taylor]: Taking taylor expansion of 0.25 in n 9.724 * [backup-simplify]: Simplify 0.25 into 0.25 9.724 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.724 * [taylor]: Taking taylor expansion of 1.0 in n 9.724 * [backup-simplify]: Simplify 1.0 into 1.0 9.724 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.724 * [taylor]: Taking taylor expansion of k in n 9.724 * [backup-simplify]: Simplify k into k 9.725 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.725 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.725 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.725 * [taylor]: Taking taylor expansion of 2.0 in n 9.725 * [backup-simplify]: Simplify 2.0 into 2.0 9.725 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.725 * [taylor]: Taking taylor expansion of PI in n 9.725 * [backup-simplify]: Simplify PI into PI 9.725 * [taylor]: Taking taylor expansion of n in n 9.725 * [backup-simplify]: Simplify 0 into 0 9.725 * [backup-simplify]: Simplify 1 into 1 9.725 * [backup-simplify]: Simplify (/ PI 1) into PI 9.725 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.726 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.726 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.726 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.726 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 9.728 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.729 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 9.730 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 9.730 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 9.730 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 9.730 * [taylor]: Taking taylor expansion of 0.25 in k 9.730 * [backup-simplify]: Simplify 0.25 into 0.25 9.730 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 9.730 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.730 * [taylor]: Taking taylor expansion of 1.0 in k 9.730 * [backup-simplify]: Simplify 1.0 into 1.0 9.730 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.731 * [taylor]: Taking taylor expansion of k in k 9.731 * [backup-simplify]: Simplify 0 into 0 9.731 * [backup-simplify]: Simplify 1 into 1 9.731 * [backup-simplify]: Simplify (/ 1 1) into 1 9.731 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 9.731 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.731 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.731 * [taylor]: Taking taylor expansion of 2.0 in k 9.731 * [backup-simplify]: Simplify 2.0 into 2.0 9.731 * [taylor]: Taking taylor expansion of PI in k 9.731 * [backup-simplify]: Simplify PI into PI 9.732 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.733 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.733 * [taylor]: Taking taylor expansion of (log n) in k 9.733 * [taylor]: Taking taylor expansion of n in k 9.733 * [backup-simplify]: Simplify n into n 9.733 * [backup-simplify]: Simplify (log n) into (log n) 9.733 * [backup-simplify]: Simplify (- 1) into -1 9.734 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.734 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.735 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 9.736 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 9.737 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 9.739 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 9.740 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 9.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.742 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.744 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.744 * [backup-simplify]: Simplify (- 0) into 0 9.744 * [backup-simplify]: Simplify (+ 0 0) into 0 9.745 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 9.746 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.748 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 9.750 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.750 * [taylor]: Taking taylor expansion of 0 in k 9.750 * [backup-simplify]: Simplify 0 into 0 9.750 * [backup-simplify]: Simplify 0 into 0 9.750 * [backup-simplify]: Simplify 0 into 0 9.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.752 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.756 * [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 9.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.756 * [backup-simplify]: Simplify (- 0) into 0 9.757 * [backup-simplify]: Simplify (+ 0 0) into 0 9.758 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 9.759 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.761 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 9.763 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.763 * [taylor]: Taking taylor expansion of 0 in k 9.763 * [backup-simplify]: Simplify 0 into 0 9.763 * [backup-simplify]: Simplify 0 into 0 9.764 * [backup-simplify]: Simplify 0 into 0 9.764 * [backup-simplify]: Simplify 0 into 0 9.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.766 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.772 * [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 9.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.773 * [backup-simplify]: Simplify (- 0) into 0 9.773 * [backup-simplify]: Simplify (+ 0 0) into 0 9.774 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 9.776 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.778 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 9.780 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.780 * [taylor]: Taking taylor expansion of 0 in k 9.780 * [backup-simplify]: Simplify 0 into 0 9.780 * [backup-simplify]: Simplify 0 into 0 9.782 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 9.783 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 9.783 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 9.783 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 9.783 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 9.783 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 9.783 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 9.783 * [taylor]: Taking taylor expansion of 0.25 in k 9.783 * [backup-simplify]: Simplify 0.25 into 0.25 9.783 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.783 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.783 * [taylor]: Taking taylor expansion of k in k 9.783 * [backup-simplify]: Simplify 0 into 0 9.783 * [backup-simplify]: Simplify 1 into 1 9.783 * [backup-simplify]: Simplify (/ 1 1) into 1 9.783 * [taylor]: Taking taylor expansion of 1.0 in k 9.784 * [backup-simplify]: Simplify 1.0 into 1.0 9.784 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 9.784 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 9.784 * [taylor]: Taking taylor expansion of -2.0 in k 9.784 * [backup-simplify]: Simplify -2.0 into -2.0 9.784 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.784 * [taylor]: Taking taylor expansion of PI in k 9.784 * [backup-simplify]: Simplify PI into PI 9.784 * [taylor]: Taking taylor expansion of n in k 9.784 * [backup-simplify]: Simplify n into n 9.784 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.784 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 9.784 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 9.785 * [backup-simplify]: Simplify (+ 1 0) into 1 9.785 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 9.785 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 9.785 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 9.785 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 9.785 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 9.786 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 9.786 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 9.786 * [taylor]: Taking taylor expansion of 0.25 in n 9.786 * [backup-simplify]: Simplify 0.25 into 0.25 9.786 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.786 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.786 * [taylor]: Taking taylor expansion of k in n 9.786 * [backup-simplify]: Simplify k into k 9.786 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.786 * [taylor]: Taking taylor expansion of 1.0 in n 9.786 * [backup-simplify]: Simplify 1.0 into 1.0 9.786 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.786 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.786 * [taylor]: Taking taylor expansion of -2.0 in n 9.786 * [backup-simplify]: Simplify -2.0 into -2.0 9.786 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.786 * [taylor]: Taking taylor expansion of PI in n 9.786 * [backup-simplify]: Simplify PI into PI 9.786 * [taylor]: Taking taylor expansion of n in n 9.786 * [backup-simplify]: Simplify 0 into 0 9.786 * [backup-simplify]: Simplify 1 into 1 9.787 * [backup-simplify]: Simplify (/ PI 1) into PI 9.787 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.788 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.788 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.788 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 9.790 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.791 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 9.793 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 9.793 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 9.793 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 9.793 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 9.793 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 9.793 * [taylor]: Taking taylor expansion of 0.25 in n 9.793 * [backup-simplify]: Simplify 0.25 into 0.25 9.793 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.793 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.793 * [taylor]: Taking taylor expansion of k in n 9.793 * [backup-simplify]: Simplify k into k 9.793 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.793 * [taylor]: Taking taylor expansion of 1.0 in n 9.793 * [backup-simplify]: Simplify 1.0 into 1.0 9.793 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.793 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.793 * [taylor]: Taking taylor expansion of -2.0 in n 9.793 * [backup-simplify]: Simplify -2.0 into -2.0 9.793 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.793 * [taylor]: Taking taylor expansion of PI in n 9.793 * [backup-simplify]: Simplify PI into PI 9.793 * [taylor]: Taking taylor expansion of n in n 9.793 * [backup-simplify]: Simplify 0 into 0 9.793 * [backup-simplify]: Simplify 1 into 1 9.794 * [backup-simplify]: Simplify (/ PI 1) into PI 9.794 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.795 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.796 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.796 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 9.797 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.798 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 9.800 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 9.800 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 9.800 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 9.800 * [taylor]: Taking taylor expansion of 0.25 in k 9.800 * [backup-simplify]: Simplify 0.25 into 0.25 9.800 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 9.800 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 9.800 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 9.800 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 9.800 * [taylor]: Taking taylor expansion of -2.0 in k 9.800 * [backup-simplify]: Simplify -2.0 into -2.0 9.800 * [taylor]: Taking taylor expansion of PI in k 9.800 * [backup-simplify]: Simplify PI into PI 9.801 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.802 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.802 * [taylor]: Taking taylor expansion of (log n) in k 9.802 * [taylor]: Taking taylor expansion of n in k 9.802 * [backup-simplify]: Simplify n into n 9.802 * [backup-simplify]: Simplify (log n) into (log n) 9.802 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.802 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.802 * [taylor]: Taking taylor expansion of k in k 9.802 * [backup-simplify]: Simplify 0 into 0 9.802 * [backup-simplify]: Simplify 1 into 1 9.802 * [backup-simplify]: Simplify (/ 1 1) into 1 9.802 * [taylor]: Taking taylor expansion of 1.0 in k 9.802 * [backup-simplify]: Simplify 1.0 into 1.0 9.802 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.804 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 9.804 * [backup-simplify]: Simplify (+ 1 0) into 1 9.806 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 9.807 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 9.814 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 9.816 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 9.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.817 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 9.819 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 9.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.820 * [backup-simplify]: Simplify (+ 0 0) into 0 9.820 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 9.822 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.823 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 9.825 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 9.825 * [taylor]: Taking taylor expansion of 0 in k 9.825 * [backup-simplify]: Simplify 0 into 0 9.825 * [backup-simplify]: Simplify 0 into 0 9.825 * [backup-simplify]: Simplify 0 into 0 9.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.827 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.829 * [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 9.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.829 * [backup-simplify]: Simplify (+ 0 0) into 0 9.830 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 9.830 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.831 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 9.833 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.833 * [taylor]: Taking taylor expansion of 0 in k 9.833 * [backup-simplify]: Simplify 0 into 0 9.833 * [backup-simplify]: Simplify 0 into 0 9.833 * [backup-simplify]: Simplify 0 into 0 9.833 * [backup-simplify]: Simplify 0 into 0 9.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.834 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.838 * [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 9.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.838 * [backup-simplify]: Simplify (+ 0 0) into 0 9.839 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 9.840 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.841 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 9.843 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.843 * [taylor]: Taking taylor expansion of 0 in k 9.843 * [backup-simplify]: Simplify 0 into 0 9.843 * [backup-simplify]: Simplify 0 into 0 9.844 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 9.844 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 9.844 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 9.844 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 9.844 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.844 * [taylor]: Taking taylor expansion of 1.0 in k 9.844 * [backup-simplify]: Simplify 1.0 into 1.0 9.844 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.844 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.844 * [taylor]: Taking taylor expansion of k in k 9.844 * [backup-simplify]: Simplify 0 into 0 9.844 * [backup-simplify]: Simplify 1 into 1 9.844 * [backup-simplify]: Simplify (/ 1 1) into 1 9.845 * [backup-simplify]: Simplify (sqrt 0) into 0 9.845 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.845 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.845 * [taylor]: Taking taylor expansion of 1.0 in k 9.845 * [backup-simplify]: Simplify 1.0 into 1.0 9.845 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.845 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.845 * [taylor]: Taking taylor expansion of k in k 9.846 * [backup-simplify]: Simplify 0 into 0 9.846 * [backup-simplify]: Simplify 1 into 1 9.846 * [backup-simplify]: Simplify (/ 1 1) into 1 9.846 * [backup-simplify]: Simplify (sqrt 0) into 0 9.847 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.847 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.847 * [backup-simplify]: Simplify 0 into 0 9.849 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.849 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.852 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.853 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.853 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.857 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.857 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.858 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 9.858 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 9.858 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 9.858 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.858 * [taylor]: Taking taylor expansion of 1.0 in k 9.858 * [backup-simplify]: Simplify 1.0 into 1.0 9.859 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.859 * [taylor]: Taking taylor expansion of k in k 9.859 * [backup-simplify]: Simplify 0 into 0 9.859 * [backup-simplify]: Simplify 1 into 1 9.859 * [backup-simplify]: Simplify (sqrt 0) into 0 9.860 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.860 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.860 * [taylor]: Taking taylor expansion of 1.0 in k 9.860 * [backup-simplify]: Simplify 1.0 into 1.0 9.860 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.860 * [taylor]: Taking taylor expansion of k in k 9.860 * [backup-simplify]: Simplify 0 into 0 9.860 * [backup-simplify]: Simplify 1 into 1 9.861 * [backup-simplify]: Simplify (sqrt 0) into 0 9.862 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.863 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.863 * [backup-simplify]: Simplify 0 into 0 9.864 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.864 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.868 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.870 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.870 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.875 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.876 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.877 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 9.877 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 9.877 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 9.877 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.877 * [taylor]: Taking taylor expansion of 1.0 in k 9.877 * [backup-simplify]: Simplify 1.0 into 1.0 9.877 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.877 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.877 * [taylor]: Taking taylor expansion of -1 in k 9.877 * [backup-simplify]: Simplify -1 into -1 9.877 * [taylor]: Taking taylor expansion of k in k 9.877 * [backup-simplify]: Simplify 0 into 0 9.877 * [backup-simplify]: Simplify 1 into 1 9.877 * [backup-simplify]: Simplify (/ -1 1) into -1 9.878 * [backup-simplify]: Simplify (sqrt 0) into 0 9.878 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.879 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.879 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.879 * [taylor]: Taking taylor expansion of 1.0 in k 9.879 * [backup-simplify]: Simplify 1.0 into 1.0 9.879 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.879 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.879 * [taylor]: Taking taylor expansion of -1 in k 9.879 * [backup-simplify]: Simplify -1 into -1 9.879 * [taylor]: Taking taylor expansion of k in k 9.879 * [backup-simplify]: Simplify 0 into 0 9.879 * [backup-simplify]: Simplify 1 into 1 9.879 * [backup-simplify]: Simplify (/ -1 1) into -1 9.879 * [backup-simplify]: Simplify (sqrt 0) into 0 9.880 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.880 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.880 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.883 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.884 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.884 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.890 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.890 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.891 * [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))))) 9.891 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 9.891 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 9.891 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 9.891 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.891 * [taylor]: Taking taylor expansion of 2.0 in n 9.891 * [backup-simplify]: Simplify 2.0 into 2.0 9.891 * [taylor]: Taking taylor expansion of (* n PI) in n 9.891 * [taylor]: Taking taylor expansion of n in n 9.891 * [backup-simplify]: Simplify 0 into 0 9.891 * [backup-simplify]: Simplify 1 into 1 9.891 * [taylor]: Taking taylor expansion of PI in n 9.891 * [backup-simplify]: Simplify PI into PI 9.891 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.891 * [taylor]: Taking taylor expansion of 2.0 in n 9.891 * [backup-simplify]: Simplify 2.0 into 2.0 9.891 * [taylor]: Taking taylor expansion of (* n PI) in n 9.891 * [taylor]: Taking taylor expansion of n in n 9.891 * [backup-simplify]: Simplify 0 into 0 9.892 * [backup-simplify]: Simplify 1 into 1 9.892 * [taylor]: Taking taylor expansion of PI in n 9.892 * [backup-simplify]: Simplify PI into PI 9.892 * [backup-simplify]: Simplify (* 0 PI) into 0 9.892 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.892 * [backup-simplify]: Simplify 0 into 0 9.893 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.894 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.894 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.896 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 9.896 * [backup-simplify]: Simplify 0 into 0 9.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.897 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.897 * [backup-simplify]: Simplify 0 into 0 9.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.898 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.899 * [backup-simplify]: Simplify 0 into 0 9.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 9.900 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 9.900 * [backup-simplify]: Simplify 0 into 0 9.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 9.902 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 9.902 * [backup-simplify]: Simplify 0 into 0 9.904 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 9.906 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 9.906 * [backup-simplify]: Simplify 0 into 0 9.907 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 9.907 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 9.908 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 9.908 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.908 * [taylor]: Taking taylor expansion of 2.0 in n 9.908 * [backup-simplify]: Simplify 2.0 into 2.0 9.908 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.908 * [taylor]: Taking taylor expansion of PI in n 9.908 * [backup-simplify]: Simplify PI into PI 9.908 * [taylor]: Taking taylor expansion of n in n 9.908 * [backup-simplify]: Simplify 0 into 0 9.908 * [backup-simplify]: Simplify 1 into 1 9.908 * [backup-simplify]: Simplify (/ PI 1) into PI 9.908 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.908 * [taylor]: Taking taylor expansion of 2.0 in n 9.908 * [backup-simplify]: Simplify 2.0 into 2.0 9.908 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.908 * [taylor]: Taking taylor expansion of PI in n 9.908 * [backup-simplify]: Simplify PI into PI 9.908 * [taylor]: Taking taylor expansion of n in n 9.908 * [backup-simplify]: Simplify 0 into 0 9.908 * [backup-simplify]: Simplify 1 into 1 9.909 * [backup-simplify]: Simplify (/ PI 1) into PI 9.910 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.910 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.912 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.912 * [backup-simplify]: Simplify 0 into 0 9.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.919 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.920 * [backup-simplify]: Simplify 0 into 0 9.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.921 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.921 * [backup-simplify]: Simplify 0 into 0 9.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.923 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.923 * [backup-simplify]: Simplify 0 into 0 9.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.924 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 9.924 * [backup-simplify]: Simplify 0 into 0 9.925 * [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 9.926 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 9.926 * [backup-simplify]: Simplify 0 into 0 9.926 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 9.927 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 9.927 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 9.927 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.927 * [taylor]: Taking taylor expansion of -2.0 in n 9.927 * [backup-simplify]: Simplify -2.0 into -2.0 9.927 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.927 * [taylor]: Taking taylor expansion of PI in n 9.927 * [backup-simplify]: Simplify PI into PI 9.927 * [taylor]: Taking taylor expansion of n in n 9.927 * [backup-simplify]: Simplify 0 into 0 9.927 * [backup-simplify]: Simplify 1 into 1 9.927 * [backup-simplify]: Simplify (/ PI 1) into PI 9.927 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.927 * [taylor]: Taking taylor expansion of -2.0 in n 9.927 * [backup-simplify]: Simplify -2.0 into -2.0 9.927 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.927 * [taylor]: Taking taylor expansion of PI in n 9.927 * [backup-simplify]: Simplify PI into PI 9.927 * [taylor]: Taking taylor expansion of n in n 9.927 * [backup-simplify]: Simplify 0 into 0 9.927 * [backup-simplify]: Simplify 1 into 1 9.928 * [backup-simplify]: Simplify (/ PI 1) into PI 9.928 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.928 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.929 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 9.929 * [backup-simplify]: Simplify 0 into 0 9.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.931 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.931 * [backup-simplify]: Simplify 0 into 0 9.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.932 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.932 * [backup-simplify]: Simplify 0 into 0 9.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.933 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.933 * [backup-simplify]: Simplify 0 into 0 9.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.935 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 9.935 * [backup-simplify]: Simplify 0 into 0 9.935 * [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 9.936 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 9.936 * [backup-simplify]: Simplify 0 into 0 9.937 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 9.937 * * * [progress]: simplifying candidates 9.940 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 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) (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +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)) 9.944 * * [simplify]: iteration 0: 334 enodes 10.075 * * [simplify]: iteration 1: 951 enodes 10.944 * * [simplify]: iteration 2: 2630 enodes 11.923 * * [simplify]: iteration complete: 5002 enodes 11.924 * * [simplify]: Extracting #0: cost 121 inf + 0 11.926 * * [simplify]: Extracting #1: cost 627 inf + 2 11.935 * * [simplify]: Extracting #2: cost 1428 inf + 1958 11.951 * * [simplify]: Extracting #3: cost 1498 inf + 53079 11.993 * * [simplify]: Extracting #4: cost 810 inf + 234378 12.101 * * [simplify]: Extracting #5: cost 233 inf + 452843 12.216 * * [simplify]: Extracting #6: cost 38 inf + 550614 12.349 * * [simplify]: Extracting #7: cost 7 inf + 560999 12.531 * * [simplify]: Extracting #8: cost 0 inf + 563037 12.686 * [simplify]: Simplified to: (expm1 (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))) (log1p (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))) (* (/ (- 1.0 k) (* 2 2.0)) (log (* n (* PI 2.0)))) (* (/ (- 1.0 k) (* 2 2.0)) (log (* n (* PI 2.0)))) (* (/ (- 1.0 k) (* 2 2.0)) (log (* n (* PI 2.0)))) (* (/ (- 1.0 k) (* 2 2.0)) (log (* n (* PI 2.0)))) (/ (- 1.0 k) (* 2 2.0)) (/ (- 1.0 k) (* 2 2.0)) (/ (- 1.0 k) (* 2 2.0)) (pow (* n (* PI 2.0)) (/ (/ 1.0 2.0) 2)) (pow (* n (* PI 2.0)) (/ (/ k 2) 2.0)) (pow (* n (* PI 2.0)) (* (cbrt (/ (- 1.0 k) (* 2 2.0))) (cbrt (/ (- 1.0 k) (* 2 2.0))))) (pow (* n (* PI 2.0)) (sqrt (/ (- 1.0 k) (* 2 2.0)))) (pow (* n (* PI 2.0)) (* (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2)) (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2)))) (pow (* n (* PI 2.0)) (* (/ (cbrt (/ (- 1.0 k) 2.0)) (sqrt 2)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* n (* PI 2.0)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* n (* PI 2.0)) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* n (* PI 2.0)) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* n (* PI 2.0)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* n (* PI 2.0)) (* (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2)) (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2)))) (pow (* n (* PI 2.0)) (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (sqrt 2) (/ (cbrt (- 1.0 k)) (cbrt 2.0))))) (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2))) (sqrt 2.0))) (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (/ (cbrt (- 1.0 k)) (sqrt 2)))) (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2)))) (pow (* n (* PI 2.0)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow (* n (* PI 2.0)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* n (* PI 2.0)) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (* (cbrt 2) (* (cbrt 2) (sqrt 2.0))))) (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (* (sqrt 2) (sqrt 2.0)))) (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* n (* PI 2.0)) (/ (/ (sqrt (- 1.0 k)) (cbrt 2)) (cbrt 2))) (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (sqrt 2))) (pow (* n (* PI 2.0)) (sqrt (- 1.0 k))) (pow (* n (* PI 2.0)) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* n (* PI 2.0)) (/ (/ 1 (sqrt 2)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* n (* PI 2.0)) (/ 1 (* (cbrt 2) (* (cbrt 2) (sqrt 2.0))))) (pow (* n (* PI 2.0)) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* n (* PI 2.0)) (/ 1 (sqrt 2.0))) (pow (* n (* PI 2.0)) (/ (/ 1 (cbrt 2)) (cbrt 2))) (pow (* n (* PI 2.0)) (/ 1 (sqrt 2))) (* n (* PI 2.0)) (pow (* n (* PI 2.0)) (/ (+ (sqrt k) (sqrt 1.0)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* n (* PI 2.0)) (/ (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ (+ (sqrt k) (sqrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ (/ (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2.0)) (cbrt 2)) (cbrt 2))) (pow (* n (* PI 2.0)) (/ (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2)) (sqrt 2.0))) (pow (* n (* PI 2.0)) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2.0))) (pow (* n (* PI 2.0)) (/ (+ (sqrt k) (sqrt 1.0)) (* (cbrt 2) (cbrt 2)))) (pow (* n (* PI 2.0)) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2))) (pow (* n (* PI 2.0)) (+ (sqrt k) (sqrt 1.0))) (pow (* n (* PI 2.0)) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* n (* PI 2.0)) (/ (/ 1 (sqrt 2)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* n (* PI 2.0)) (/ 1 (* (cbrt 2) (* (cbrt 2) (sqrt 2.0))))) (pow (* n (* PI 2.0)) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* n (* PI 2.0)) (/ 1 (sqrt 2.0))) (pow (* n (* PI 2.0)) (/ (/ 1 (cbrt 2)) (cbrt 2))) (pow (* n (* PI 2.0)) (/ 1 (sqrt 2))) (* n (* PI 2.0)) (pow (* n (* PI 2.0)) (/ (/ 1 (cbrt 2)) (cbrt 2))) (pow (* n (* PI 2.0)) (/ 1 (sqrt 2))) (* n (* PI 2.0)) (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) (cbrt 2)) (cbrt 2))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) (sqrt 2))) (pow (* n (* PI 2.0)) (- 1.0 k)) (* n (* PI 2.0)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) (* 2 2.0))) (pow n (/ (- 1.0 k) (* 2 2.0))) (* (/ (- 1.0 k) (* 2 2.0)) (log (* n (* PI 2.0)))) (exp (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))) (* (cbrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))) (cbrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0))))) (cbrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0))))) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))) (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 4)) (expm1 (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))) (log1p (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))) (* (/ (- 1.0 k) (* 2 2.0)) (log (* n (* PI 2.0)))) (* (/ (- 1.0 k) (* 2 2.0)) (log (* n (* PI 2.0)))) (* (/ (- 1.0 k) (* 2 2.0)) (log (* n (* PI 2.0)))) (* (/ (- 1.0 k) (* 2 2.0)) (log (* n (* PI 2.0)))) (/ (- 1.0 k) (* 2 2.0)) (/ (- 1.0 k) (* 2 2.0)) (/ (- 1.0 k) (* 2 2.0)) (pow (* n (* PI 2.0)) (/ (/ 1.0 2.0) 2)) (pow (* n (* PI 2.0)) (/ (/ k 2) 2.0)) (pow (* n (* PI 2.0)) (* (cbrt (/ (- 1.0 k) (* 2 2.0))) (cbrt (/ (- 1.0 k) (* 2 2.0))))) (pow (* n (* PI 2.0)) (sqrt (/ (- 1.0 k) (* 2 2.0)))) (pow (* n (* PI 2.0)) (* (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2)) (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2)))) (pow (* n (* PI 2.0)) (* (/ (cbrt (/ (- 1.0 k) 2.0)) (sqrt 2)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* n (* PI 2.0)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* n (* PI 2.0)) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* n (* PI 2.0)) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* n (* PI 2.0)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* n (* PI 2.0)) (* (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2)) (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2)))) (pow (* n (* PI 2.0)) (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (sqrt 2) (/ (cbrt (- 1.0 k)) (cbrt 2.0))))) (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2))) (sqrt 2.0))) (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (/ (cbrt (- 1.0 k)) (sqrt 2)))) (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2)))) (pow (* n (* PI 2.0)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow (* n (* PI 2.0)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* n (* PI 2.0)) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (* (cbrt 2) (* (cbrt 2) (sqrt 2.0))))) (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (* (sqrt 2) (sqrt 2.0)))) (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* n (* PI 2.0)) (/ (/ (sqrt (- 1.0 k)) (cbrt 2)) (cbrt 2))) (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (sqrt 2))) (pow (* n (* PI 2.0)) (sqrt (- 1.0 k))) (pow (* n (* PI 2.0)) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* n (* PI 2.0)) (/ (/ 1 (sqrt 2)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* n (* PI 2.0)) (/ 1 (* (cbrt 2) (* (cbrt 2) (sqrt 2.0))))) (pow (* n (* PI 2.0)) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* n (* PI 2.0)) (/ 1 (sqrt 2.0))) (pow (* n (* PI 2.0)) (/ (/ 1 (cbrt 2)) (cbrt 2))) (pow (* n (* PI 2.0)) (/ 1 (sqrt 2))) (* n (* PI 2.0)) (pow (* n (* PI 2.0)) (/ (+ (sqrt k) (sqrt 1.0)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* n (* PI 2.0)) (/ (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ (+ (sqrt k) (sqrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ (/ (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2.0)) (cbrt 2)) (cbrt 2))) (pow (* n (* PI 2.0)) (/ (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2)) (sqrt 2.0))) (pow (* n (* PI 2.0)) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2.0))) (pow (* n (* PI 2.0)) (/ (+ (sqrt k) (sqrt 1.0)) (* (cbrt 2) (cbrt 2)))) (pow (* n (* PI 2.0)) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2))) (pow (* n (* PI 2.0)) (+ (sqrt k) (sqrt 1.0))) (pow (* n (* PI 2.0)) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* n (* PI 2.0)) (/ (/ 1 (sqrt 2)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* n (* PI 2.0)) (/ 1 (* (cbrt 2) (* (cbrt 2) (sqrt 2.0))))) (pow (* n (* PI 2.0)) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* n (* PI 2.0)) (/ 1 (sqrt 2.0))) (pow (* n (* PI 2.0)) (/ (/ 1 (cbrt 2)) (cbrt 2))) (pow (* n (* PI 2.0)) (/ 1 (sqrt 2))) (* n (* PI 2.0)) (pow (* n (* PI 2.0)) (/ (/ 1 (cbrt 2)) (cbrt 2))) (pow (* n (* PI 2.0)) (/ 1 (sqrt 2))) (* n (* PI 2.0)) (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) (cbrt 2)) (cbrt 2))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) (sqrt 2))) (pow (* n (* PI 2.0)) (- 1.0 k)) (* n (* PI 2.0)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) (* 2 2.0))) (pow n (/ (- 1.0 k) (* 2 2.0))) (* (/ (- 1.0 k) (* 2 2.0)) (log (* n (* PI 2.0)))) (exp (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))) (* (cbrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))) (cbrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0))))) (cbrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0))))) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))) (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 4)) (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))) (/ (* (* 1.0 1.0) 1.0) (* 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 (sqrt k))) (/ (cbrt 1.0) (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) (sqrt (sqrt k))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt 1.0)) (/ (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 (* n (* PI 2.0))) (log1p (* n (* PI 2.0))) (* n (* PI 2.0)) (* n (* PI 2.0)) (log (* n (* PI 2.0))) (log (* n (* PI 2.0))) (log (* n (* PI 2.0))) (exp (* n (* PI 2.0))) (* (* (sqrt (* n (* PI 2.0))) (* n (* PI 2.0))) (* (sqrt (* n (* PI 2.0))) (* n (* PI 2.0)))) (* (* (sqrt (* n (* PI 2.0))) (* n (* PI 2.0))) (* (sqrt (* n (* PI 2.0))) (* n (* PI 2.0)))) (* (cbrt (* n (* PI 2.0))) (cbrt (* n (* PI 2.0)))) (cbrt (* n (* PI 2.0))) (* (* (sqrt (* n (* PI 2.0))) (* n (* PI 2.0))) (* (sqrt (* n (* PI 2.0))) (* n (* PI 2.0)))) (sqrt (* n (* PI 2.0))) (sqrt (* n (* PI 2.0))) (* (cbrt n) (* (* 2.0 PI) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (fma (* (* (log (* 2.0 PI)) 0.0625) (* (exp (* 0.25 (log (* n (* PI 2.0))))) (log n))) (* k k) (- (fma (* (* (log n) (log n)) (exp (* 0.25 (log (* n (* PI 2.0)))))) (* (* k k) 0.03125) (fma (* (exp (* 0.25 (log (* n (* PI 2.0))))) (* (log (* 2.0 PI)) (log (* 2.0 PI)))) (* (* k k) 0.03125) (exp (* 0.25 (log (* n (* PI 2.0))))))) (* (* k (fma (log (* 2.0 PI)) (exp (* 0.25 (log (* n (* PI 2.0))))) (* (exp (* 0.25 (log (* n (* PI 2.0))))) (log n)))) 0.25))) (exp (* (* (log (* n (* PI 2.0))) (- 1.0 k)) 0.25)) (exp (* (- 1.0 k) (* (- (log (* -2.0 PI)) (log (/ -1 n))) 0.25))) (fma (* (* (log (* 2.0 PI)) 0.0625) (* (exp (* 0.25 (log (* n (* PI 2.0))))) (log n))) (* k k) (- (fma (* (* (log n) (log n)) (exp (* 0.25 (log (* n (* PI 2.0)))))) (* (* k k) 0.03125) (fma (* (exp (* 0.25 (log (* n (* PI 2.0))))) (* (log (* 2.0 PI)) (log (* 2.0 PI)))) (* (* k k) 0.03125) (exp (* 0.25 (log (* n (* PI 2.0))))))) (* (* k (fma (log (* 2.0 PI)) (exp (* 0.25 (log (* n (* PI 2.0))))) (* (exp (* 0.25 (log (* n (* PI 2.0))))) (log n)))) 0.25))) (exp (* (* (log (* n (* PI 2.0))) (- 1.0 k)) 0.25)) (exp (* (- 1.0 k) (* (- (log (* -2.0 PI)) (log (/ -1 n))) 0.25))) (- (- (fma +nan.0 (* k k) (* k +nan.0)) +nan.0)) (fma +nan.0 (/ -1 (* k k)) (- (/ +nan.0 k) (/ +nan.0 (* k (* k k))))) (fma +nan.0 (/ -1 (* k k)) (- (/ +nan.0 k) +nan.0)) (* n (* PI 2.0)) (* n (* PI 2.0)) (* n (* PI 2.0)) 12.728 * * * [progress]: adding candidates to table 14.511 * * [progress]: iteration 3 / 4 14.511 * * * [progress]: picking best candidate 14.539 * * * * [pick]: Picked # 14.539 * * * [progress]: localizing error 14.585 * * * [progress]: generating rewritten candidates 14.585 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 14.620 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 14.630 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 14.639 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 14.674 * * * [progress]: generating series expansions 14.674 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 14.676 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 14.676 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 14.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 14.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 14.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 14.676 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.676 * [taylor]: Taking taylor expansion of 0.5 in k 14.676 * [backup-simplify]: Simplify 0.5 into 0.5 14.676 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.676 * [taylor]: Taking taylor expansion of 1.0 in k 14.676 * [backup-simplify]: Simplify 1.0 into 1.0 14.676 * [taylor]: Taking taylor expansion of k in k 14.676 * [backup-simplify]: Simplify 0 into 0 14.676 * [backup-simplify]: Simplify 1 into 1 14.676 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 14.676 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 14.676 * [taylor]: Taking taylor expansion of 2.0 in k 14.676 * [backup-simplify]: Simplify 2.0 into 2.0 14.676 * [taylor]: Taking taylor expansion of (* n PI) in k 14.676 * [taylor]: Taking taylor expansion of n in k 14.676 * [backup-simplify]: Simplify n into n 14.676 * [taylor]: Taking taylor expansion of PI in k 14.676 * [backup-simplify]: Simplify PI into PI 14.676 * [backup-simplify]: Simplify (* n PI) into (* n PI) 14.676 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 14.676 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 14.677 * [backup-simplify]: Simplify (- 0) into 0 14.677 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.678 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.678 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 14.678 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 14.678 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 14.678 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 14.678 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 14.678 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 14.678 * [taylor]: Taking taylor expansion of 0.5 in n 14.678 * [backup-simplify]: Simplify 0.5 into 0.5 14.678 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 14.678 * [taylor]: Taking taylor expansion of 1.0 in n 14.679 * [backup-simplify]: Simplify 1.0 into 1.0 14.679 * [taylor]: Taking taylor expansion of k in n 14.679 * [backup-simplify]: Simplify k into k 14.679 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 14.679 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 14.679 * [taylor]: Taking taylor expansion of 2.0 in n 14.679 * [backup-simplify]: Simplify 2.0 into 2.0 14.679 * [taylor]: Taking taylor expansion of (* n PI) in n 14.679 * [taylor]: Taking taylor expansion of n in n 14.679 * [backup-simplify]: Simplify 0 into 0 14.679 * [backup-simplify]: Simplify 1 into 1 14.679 * [taylor]: Taking taylor expansion of PI in n 14.679 * [backup-simplify]: Simplify PI into PI 14.679 * [backup-simplify]: Simplify (* 0 PI) into 0 14.680 * [backup-simplify]: Simplify (* 2.0 0) into 0 14.682 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 14.683 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 14.684 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.684 * [backup-simplify]: Simplify (- k) into (- k) 14.685 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 14.685 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 14.686 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 14.687 * [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)))) 14.693 * [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))))) 14.693 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 14.693 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 14.693 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 14.693 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 14.693 * [taylor]: Taking taylor expansion of 0.5 in n 14.693 * [backup-simplify]: Simplify 0.5 into 0.5 14.693 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 14.693 * [taylor]: Taking taylor expansion of 1.0 in n 14.694 * [backup-simplify]: Simplify 1.0 into 1.0 14.694 * [taylor]: Taking taylor expansion of k in n 14.694 * [backup-simplify]: Simplify k into k 14.694 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 14.694 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 14.694 * [taylor]: Taking taylor expansion of 2.0 in n 14.694 * [backup-simplify]: Simplify 2.0 into 2.0 14.694 * [taylor]: Taking taylor expansion of (* n PI) in n 14.694 * [taylor]: Taking taylor expansion of n in n 14.694 * [backup-simplify]: Simplify 0 into 0 14.694 * [backup-simplify]: Simplify 1 into 1 14.694 * [taylor]: Taking taylor expansion of PI in n 14.694 * [backup-simplify]: Simplify PI into PI 14.694 * [backup-simplify]: Simplify (* 0 PI) into 0 14.694 * [backup-simplify]: Simplify (* 2.0 0) into 0 14.695 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 14.696 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 14.697 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.697 * [backup-simplify]: Simplify (- k) into (- k) 14.697 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 14.697 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 14.698 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 14.699 * [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)))) 14.700 * [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))))) 14.700 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 14.700 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 14.700 * [taylor]: Taking taylor expansion of 0.5 in k 14.700 * [backup-simplify]: Simplify 0.5 into 0.5 14.700 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 14.700 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.700 * [taylor]: Taking taylor expansion of 1.0 in k 14.700 * [backup-simplify]: Simplify 1.0 into 1.0 14.700 * [taylor]: Taking taylor expansion of k in k 14.700 * [backup-simplify]: Simplify 0 into 0 14.700 * [backup-simplify]: Simplify 1 into 1 14.700 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 14.700 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 14.700 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 14.700 * [taylor]: Taking taylor expansion of 2.0 in k 14.700 * [backup-simplify]: Simplify 2.0 into 2.0 14.700 * [taylor]: Taking taylor expansion of PI in k 14.700 * [backup-simplify]: Simplify PI into PI 14.701 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.701 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.701 * [taylor]: Taking taylor expansion of (log n) in k 14.701 * [taylor]: Taking taylor expansion of n in k 14.701 * [backup-simplify]: Simplify n into n 14.701 * [backup-simplify]: Simplify (log n) into (log n) 14.702 * [backup-simplify]: Simplify (- 0) into 0 14.702 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.703 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 14.703 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 14.704 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 14.705 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 14.705 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 14.706 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 14.707 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 14.708 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 14.708 * [backup-simplify]: Simplify (- 0) into 0 14.708 * [backup-simplify]: Simplify (+ 0 0) into 0 14.709 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 14.710 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 14.710 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 14.712 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 14.712 * [taylor]: Taking taylor expansion of 0 in k 14.712 * [backup-simplify]: Simplify 0 into 0 14.712 * [backup-simplify]: Simplify 0 into 0 14.712 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 14.713 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 14.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 14.714 * [backup-simplify]: Simplify (+ 0 0) into 0 14.714 * [backup-simplify]: Simplify (- 1) into -1 14.715 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.716 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 14.717 * [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)))) 14.719 * [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)))))) 14.721 * [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)))))) 14.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 14.723 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 14.727 * [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 14.727 * [backup-simplify]: Simplify (- 0) into 0 14.728 * [backup-simplify]: Simplify (+ 0 0) into 0 14.729 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 14.730 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 14.732 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 14.734 * [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 14.734 * [taylor]: Taking taylor expansion of 0 in k 14.734 * [backup-simplify]: Simplify 0 into 0 14.735 * [backup-simplify]: Simplify 0 into 0 14.735 * [backup-simplify]: Simplify 0 into 0 14.736 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.740 * [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 14.742 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 14.742 * [backup-simplify]: Simplify (+ 0 0) into 0 14.743 * [backup-simplify]: Simplify (- 0) into 0 14.743 * [backup-simplify]: Simplify (+ 0 0) into 0 14.745 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 14.748 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 14.752 * [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 n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 14.756 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 14.763 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 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 (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 14.763 * [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)))) 14.763 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 14.763 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 14.763 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 14.763 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 14.763 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.763 * [taylor]: Taking taylor expansion of 0.5 in k 14.763 * [backup-simplify]: Simplify 0.5 into 0.5 14.763 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.763 * [taylor]: Taking taylor expansion of 1.0 in k 14.763 * [backup-simplify]: Simplify 1.0 into 1.0 14.763 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.763 * [taylor]: Taking taylor expansion of k in k 14.763 * [backup-simplify]: Simplify 0 into 0 14.763 * [backup-simplify]: Simplify 1 into 1 14.764 * [backup-simplify]: Simplify (/ 1 1) into 1 14.764 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 14.764 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 14.764 * [taylor]: Taking taylor expansion of 2.0 in k 14.764 * [backup-simplify]: Simplify 2.0 into 2.0 14.764 * [taylor]: Taking taylor expansion of (/ PI n) in k 14.764 * [taylor]: Taking taylor expansion of PI in k 14.764 * [backup-simplify]: Simplify PI into PI 14.764 * [taylor]: Taking taylor expansion of n in k 14.764 * [backup-simplify]: Simplify n into n 14.764 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 14.764 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 14.764 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 14.765 * [backup-simplify]: Simplify (- 1) into -1 14.765 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.765 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.765 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 14.765 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 14.765 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 14.765 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 14.765 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 14.765 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 14.765 * [taylor]: Taking taylor expansion of 0.5 in n 14.765 * [backup-simplify]: Simplify 0.5 into 0.5 14.765 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 14.766 * [taylor]: Taking taylor expansion of 1.0 in n 14.766 * [backup-simplify]: Simplify 1.0 into 1.0 14.766 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.766 * [taylor]: Taking taylor expansion of k in n 14.766 * [backup-simplify]: Simplify k into k 14.766 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.766 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 14.766 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 14.766 * [taylor]: Taking taylor expansion of 2.0 in n 14.766 * [backup-simplify]: Simplify 2.0 into 2.0 14.766 * [taylor]: Taking taylor expansion of (/ PI n) in n 14.766 * [taylor]: Taking taylor expansion of PI in n 14.766 * [backup-simplify]: Simplify PI into PI 14.766 * [taylor]: Taking taylor expansion of n in n 14.766 * [backup-simplify]: Simplify 0 into 0 14.766 * [backup-simplify]: Simplify 1 into 1 14.766 * [backup-simplify]: Simplify (/ PI 1) into PI 14.766 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.767 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.767 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 14.767 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 14.767 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 14.768 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 14.769 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 14.770 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 14.770 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 14.770 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 14.770 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 14.770 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 14.770 * [taylor]: Taking taylor expansion of 0.5 in n 14.770 * [backup-simplify]: Simplify 0.5 into 0.5 14.770 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 14.770 * [taylor]: Taking taylor expansion of 1.0 in n 14.770 * [backup-simplify]: Simplify 1.0 into 1.0 14.770 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.770 * [taylor]: Taking taylor expansion of k in n 14.770 * [backup-simplify]: Simplify k into k 14.770 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.770 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 14.770 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 14.770 * [taylor]: Taking taylor expansion of 2.0 in n 14.770 * [backup-simplify]: Simplify 2.0 into 2.0 14.770 * [taylor]: Taking taylor expansion of (/ PI n) in n 14.770 * [taylor]: Taking taylor expansion of PI in n 14.770 * [backup-simplify]: Simplify PI into PI 14.770 * [taylor]: Taking taylor expansion of n in n 14.770 * [backup-simplify]: Simplify 0 into 0 14.770 * [backup-simplify]: Simplify 1 into 1 14.770 * [backup-simplify]: Simplify (/ PI 1) into PI 14.771 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.772 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.772 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 14.772 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 14.772 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 14.773 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 14.774 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 14.774 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 14.774 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 14.774 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 14.774 * [taylor]: Taking taylor expansion of 0.5 in k 14.775 * [backup-simplify]: Simplify 0.5 into 0.5 14.775 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 14.775 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.775 * [taylor]: Taking taylor expansion of 1.0 in k 14.775 * [backup-simplify]: Simplify 1.0 into 1.0 14.775 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.775 * [taylor]: Taking taylor expansion of k in k 14.775 * [backup-simplify]: Simplify 0 into 0 14.775 * [backup-simplify]: Simplify 1 into 1 14.775 * [backup-simplify]: Simplify (/ 1 1) into 1 14.775 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 14.775 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 14.775 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 14.775 * [taylor]: Taking taylor expansion of 2.0 in k 14.775 * [backup-simplify]: Simplify 2.0 into 2.0 14.775 * [taylor]: Taking taylor expansion of PI in k 14.775 * [backup-simplify]: Simplify PI into PI 14.775 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.776 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.776 * [taylor]: Taking taylor expansion of (log n) in k 14.776 * [taylor]: Taking taylor expansion of n in k 14.776 * [backup-simplify]: Simplify n into n 14.776 * [backup-simplify]: Simplify (log n) into (log n) 14.776 * [backup-simplify]: Simplify (- 1) into -1 14.777 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.777 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 14.777 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 14.778 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 14.779 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 14.780 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 14.780 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 14.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.781 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 14.783 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 14.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 14.784 * [backup-simplify]: Simplify (- 0) into 0 14.784 * [backup-simplify]: Simplify (+ 0 0) into 0 14.785 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 14.786 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 14.787 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 14.789 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 14.789 * [taylor]: Taking taylor expansion of 0 in k 14.790 * [backup-simplify]: Simplify 0 into 0 14.790 * [backup-simplify]: Simplify 0 into 0 14.790 * [backup-simplify]: Simplify 0 into 0 14.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.792 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.795 * [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 14.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 14.796 * [backup-simplify]: Simplify (- 0) into 0 14.797 * [backup-simplify]: Simplify (+ 0 0) into 0 14.798 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 14.799 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 14.801 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 14.803 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.803 * [taylor]: Taking taylor expansion of 0 in k 14.803 * [backup-simplify]: Simplify 0 into 0 14.804 * [backup-simplify]: Simplify 0 into 0 14.804 * [backup-simplify]: Simplify 0 into 0 14.804 * [backup-simplify]: Simplify 0 into 0 14.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.809 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.815 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 14.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 14.816 * [backup-simplify]: Simplify (- 0) into 0 14.817 * [backup-simplify]: Simplify (+ 0 0) into 0 14.818 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 14.820 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 14.822 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 14.825 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.825 * [taylor]: Taking taylor expansion of 0 in k 14.825 * [backup-simplify]: Simplify 0 into 0 14.825 * [backup-simplify]: Simplify 0 into 0 14.826 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 14.827 * [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))) 14.827 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 14.828 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 14.828 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 14.828 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 14.828 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.828 * [taylor]: Taking taylor expansion of 0.5 in k 14.828 * [backup-simplify]: Simplify 0.5 into 0.5 14.828 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.828 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.828 * [taylor]: Taking taylor expansion of k in k 14.828 * [backup-simplify]: Simplify 0 into 0 14.828 * [backup-simplify]: Simplify 1 into 1 14.828 * [backup-simplify]: Simplify (/ 1 1) into 1 14.828 * [taylor]: Taking taylor expansion of 1.0 in k 14.828 * [backup-simplify]: Simplify 1.0 into 1.0 14.828 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 14.828 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 14.828 * [taylor]: Taking taylor expansion of -2.0 in k 14.828 * [backup-simplify]: Simplify -2.0 into -2.0 14.828 * [taylor]: Taking taylor expansion of (/ PI n) in k 14.829 * [taylor]: Taking taylor expansion of PI in k 14.829 * [backup-simplify]: Simplify PI into PI 14.829 * [taylor]: Taking taylor expansion of n in k 14.829 * [backup-simplify]: Simplify n into n 14.829 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 14.829 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 14.829 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 14.829 * [backup-simplify]: Simplify (+ 1 0) into 1 14.830 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.830 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 14.830 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 14.830 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 14.830 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 14.830 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 14.830 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 14.830 * [taylor]: Taking taylor expansion of 0.5 in n 14.830 * [backup-simplify]: Simplify 0.5 into 0.5 14.830 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 14.830 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.831 * [taylor]: Taking taylor expansion of k in n 14.831 * [backup-simplify]: Simplify k into k 14.831 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.831 * [taylor]: Taking taylor expansion of 1.0 in n 14.831 * [backup-simplify]: Simplify 1.0 into 1.0 14.831 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 14.831 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 14.831 * [taylor]: Taking taylor expansion of -2.0 in n 14.831 * [backup-simplify]: Simplify -2.0 into -2.0 14.831 * [taylor]: Taking taylor expansion of (/ PI n) in n 14.831 * [taylor]: Taking taylor expansion of PI in n 14.831 * [backup-simplify]: Simplify PI into PI 14.831 * [taylor]: Taking taylor expansion of n in n 14.831 * [backup-simplify]: Simplify 0 into 0 14.831 * [backup-simplify]: Simplify 1 into 1 14.831 * [backup-simplify]: Simplify (/ PI 1) into PI 14.832 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 14.833 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 14.833 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 14.833 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 14.835 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 14.836 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 14.837 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 14.837 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 14.837 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 14.837 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 14.837 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 14.838 * [taylor]: Taking taylor expansion of 0.5 in n 14.838 * [backup-simplify]: Simplify 0.5 into 0.5 14.838 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 14.838 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.838 * [taylor]: Taking taylor expansion of k in n 14.838 * [backup-simplify]: Simplify k into k 14.838 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.838 * [taylor]: Taking taylor expansion of 1.0 in n 14.838 * [backup-simplify]: Simplify 1.0 into 1.0 14.838 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 14.838 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 14.838 * [taylor]: Taking taylor expansion of -2.0 in n 14.838 * [backup-simplify]: Simplify -2.0 into -2.0 14.838 * [taylor]: Taking taylor expansion of (/ PI n) in n 14.838 * [taylor]: Taking taylor expansion of PI in n 14.838 * [backup-simplify]: Simplify PI into PI 14.838 * [taylor]: Taking taylor expansion of n in n 14.838 * [backup-simplify]: Simplify 0 into 0 14.838 * [backup-simplify]: Simplify 1 into 1 14.839 * [backup-simplify]: Simplify (/ PI 1) into PI 14.839 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 14.840 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 14.840 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 14.840 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 14.842 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 14.843 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 14.844 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 14.845 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 14.845 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 14.845 * [taylor]: Taking taylor expansion of 0.5 in k 14.845 * [backup-simplify]: Simplify 0.5 into 0.5 14.845 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 14.845 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 14.845 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 14.845 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 14.845 * [taylor]: Taking taylor expansion of -2.0 in k 14.845 * [backup-simplify]: Simplify -2.0 into -2.0 14.845 * [taylor]: Taking taylor expansion of PI in k 14.845 * [backup-simplify]: Simplify PI into PI 14.845 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 14.847 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 14.847 * [taylor]: Taking taylor expansion of (log n) in k 14.847 * [taylor]: Taking taylor expansion of n in k 14.847 * [backup-simplify]: Simplify n into n 14.847 * [backup-simplify]: Simplify (log n) into (log n) 14.847 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.847 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.847 * [taylor]: Taking taylor expansion of k in k 14.847 * [backup-simplify]: Simplify 0 into 0 14.847 * [backup-simplify]: Simplify 1 into 1 14.847 * [backup-simplify]: Simplify (/ 1 1) into 1 14.847 * [taylor]: Taking taylor expansion of 1.0 in k 14.847 * [backup-simplify]: Simplify 1.0 into 1.0 14.847 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 14.849 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 14.849 * [backup-simplify]: Simplify (+ 1 0) into 1 14.850 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 14.851 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 14.853 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 14.854 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 14.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.856 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 14.858 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 14.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 14.858 * [backup-simplify]: Simplify (+ 0 0) into 0 14.859 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 14.860 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 14.862 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 14.864 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.864 * [taylor]: Taking taylor expansion of 0 in k 14.864 * [backup-simplify]: Simplify 0 into 0 14.864 * [backup-simplify]: Simplify 0 into 0 14.864 * [backup-simplify]: Simplify 0 into 0 14.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.866 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.870 * [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 14.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 14.871 * [backup-simplify]: Simplify (+ 0 0) into 0 14.872 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 14.873 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 14.875 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 14.878 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.878 * [taylor]: Taking taylor expansion of 0 in k 14.878 * [backup-simplify]: Simplify 0 into 0 14.878 * [backup-simplify]: Simplify 0 into 0 14.878 * [backup-simplify]: Simplify 0 into 0 14.878 * [backup-simplify]: Simplify 0 into 0 14.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.880 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.887 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 14.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 14.888 * [backup-simplify]: Simplify (+ 0 0) into 0 14.889 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 14.891 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 14.893 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 14.896 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.896 * [taylor]: Taking taylor expansion of 0 in k 14.896 * [backup-simplify]: Simplify 0 into 0 14.896 * [backup-simplify]: Simplify 0 into 0 14.897 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 14.897 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 14.897 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 14.897 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 14.897 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 14.897 * [taylor]: Taking taylor expansion of 1.0 in k 14.897 * [backup-simplify]: Simplify 1.0 into 1.0 14.898 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.898 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.898 * [taylor]: Taking taylor expansion of k in k 14.898 * [backup-simplify]: Simplify 0 into 0 14.898 * [backup-simplify]: Simplify 1 into 1 14.898 * [backup-simplify]: Simplify (/ 1 1) into 1 14.898 * [backup-simplify]: Simplify (sqrt 0) into 0 14.900 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.900 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 14.900 * [taylor]: Taking taylor expansion of 1.0 in k 14.900 * [backup-simplify]: Simplify 1.0 into 1.0 14.900 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.900 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.900 * [taylor]: Taking taylor expansion of k in k 14.900 * [backup-simplify]: Simplify 0 into 0 14.900 * [backup-simplify]: Simplify 1 into 1 14.900 * [backup-simplify]: Simplify (/ 1 1) into 1 14.901 * [backup-simplify]: Simplify (sqrt 0) into 0 14.902 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.903 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.903 * [backup-simplify]: Simplify 0 into 0 14.904 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 14.905 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.908 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.911 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 14.911 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.918 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 14.919 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.920 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 14.920 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 14.920 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 14.920 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 14.920 * [taylor]: Taking taylor expansion of 1.0 in k 14.920 * [backup-simplify]: Simplify 1.0 into 1.0 14.920 * [taylor]: Taking taylor expansion of (sqrt k) in k 14.920 * [taylor]: Taking taylor expansion of k in k 14.921 * [backup-simplify]: Simplify 0 into 0 14.921 * [backup-simplify]: Simplify 1 into 1 14.921 * [backup-simplify]: Simplify (sqrt 0) into 0 14.923 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.923 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 14.923 * [taylor]: Taking taylor expansion of 1.0 in k 14.923 * [backup-simplify]: Simplify 1.0 into 1.0 14.923 * [taylor]: Taking taylor expansion of (sqrt k) in k 14.923 * [taylor]: Taking taylor expansion of k in k 14.923 * [backup-simplify]: Simplify 0 into 0 14.923 * [backup-simplify]: Simplify 1 into 1 14.923 * [backup-simplify]: Simplify (sqrt 0) into 0 14.924 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.925 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.925 * [backup-simplify]: Simplify 0 into 0 14.927 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 14.927 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.930 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.932 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 14.933 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.940 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 14.940 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.942 * [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)))))))) 14.942 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 14.942 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 14.942 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 14.942 * [taylor]: Taking taylor expansion of 1.0 in k 14.942 * [backup-simplify]: Simplify 1.0 into 1.0 14.942 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.942 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.942 * [taylor]: Taking taylor expansion of -1 in k 14.942 * [backup-simplify]: Simplify -1 into -1 14.942 * [taylor]: Taking taylor expansion of k in k 14.942 * [backup-simplify]: Simplify 0 into 0 14.942 * [backup-simplify]: Simplify 1 into 1 14.943 * [backup-simplify]: Simplify (/ -1 1) into -1 14.943 * [backup-simplify]: Simplify (sqrt 0) into 0 14.944 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.945 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 14.945 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 14.945 * [taylor]: Taking taylor expansion of 1.0 in k 14.945 * [backup-simplify]: Simplify 1.0 into 1.0 14.945 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.945 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.945 * [taylor]: Taking taylor expansion of -1 in k 14.945 * [backup-simplify]: Simplify -1 into -1 14.945 * [taylor]: Taking taylor expansion of k in k 14.945 * [backup-simplify]: Simplify 0 into 0 14.945 * [backup-simplify]: Simplify 1 into 1 14.946 * [backup-simplify]: Simplify (/ -1 1) into -1 14.946 * [backup-simplify]: Simplify (sqrt 0) into 0 14.948 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.948 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 14.948 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.952 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.955 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 14.955 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.963 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 14.963 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.964 * [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))))) 14.964 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 14.964 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 14.964 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 14.964 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 14.964 * [taylor]: Taking taylor expansion of 1.0 in k 14.964 * [backup-simplify]: Simplify 1.0 into 1.0 14.964 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.964 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.964 * [taylor]: Taking taylor expansion of k in k 14.964 * [backup-simplify]: Simplify 0 into 0 14.964 * [backup-simplify]: Simplify 1 into 1 14.964 * [backup-simplify]: Simplify (/ 1 1) into 1 14.964 * [backup-simplify]: Simplify (sqrt 0) into 0 14.965 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.965 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 14.965 * [taylor]: Taking taylor expansion of 1.0 in k 14.965 * [backup-simplify]: Simplify 1.0 into 1.0 14.965 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.965 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.965 * [taylor]: Taking taylor expansion of k in k 14.965 * [backup-simplify]: Simplify 0 into 0 14.965 * [backup-simplify]: Simplify 1 into 1 14.966 * [backup-simplify]: Simplify (/ 1 1) into 1 14.966 * [backup-simplify]: Simplify (sqrt 0) into 0 14.967 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.967 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.967 * [backup-simplify]: Simplify 0 into 0 14.968 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 14.968 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.970 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.972 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 14.972 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.976 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 14.976 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.977 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 14.978 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 14.978 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 14.978 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 14.978 * [taylor]: Taking taylor expansion of 1.0 in k 14.978 * [backup-simplify]: Simplify 1.0 into 1.0 14.978 * [taylor]: Taking taylor expansion of (sqrt k) in k 14.978 * [taylor]: Taking taylor expansion of k in k 14.978 * [backup-simplify]: Simplify 0 into 0 14.978 * [backup-simplify]: Simplify 1 into 1 14.978 * [backup-simplify]: Simplify (sqrt 0) into 0 14.979 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.979 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 14.979 * [taylor]: Taking taylor expansion of 1.0 in k 14.979 * [backup-simplify]: Simplify 1.0 into 1.0 14.979 * [taylor]: Taking taylor expansion of (sqrt k) in k 14.979 * [taylor]: Taking taylor expansion of k in k 14.979 * [backup-simplify]: Simplify 0 into 0 14.979 * [backup-simplify]: Simplify 1 into 1 14.979 * [backup-simplify]: Simplify (sqrt 0) into 0 14.980 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.980 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.980 * [backup-simplify]: Simplify 0 into 0 14.981 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 14.981 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.985 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.987 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 14.987 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.991 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.993 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 14.994 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.995 * [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)))))))) 14.995 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 14.996 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 14.996 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 14.996 * [taylor]: Taking taylor expansion of 1.0 in k 14.996 * [backup-simplify]: Simplify 1.0 into 1.0 14.996 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.996 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.996 * [taylor]: Taking taylor expansion of -1 in k 14.996 * [backup-simplify]: Simplify -1 into -1 14.996 * [taylor]: Taking taylor expansion of k in k 14.996 * [backup-simplify]: Simplify 0 into 0 14.996 * [backup-simplify]: Simplify 1 into 1 14.996 * [backup-simplify]: Simplify (/ -1 1) into -1 14.997 * [backup-simplify]: Simplify (sqrt 0) into 0 14.998 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.998 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 14.998 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 14.998 * [taylor]: Taking taylor expansion of 1.0 in k 14.998 * [backup-simplify]: Simplify 1.0 into 1.0 14.999 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.999 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.999 * [taylor]: Taking taylor expansion of -1 in k 14.999 * [backup-simplify]: Simplify -1 into -1 14.999 * [taylor]: Taking taylor expansion of k in k 14.999 * [backup-simplify]: Simplify 0 into 0 14.999 * [backup-simplify]: Simplify 1 into 1 14.999 * [backup-simplify]: Simplify (/ -1 1) into -1 15.000 * [backup-simplify]: Simplify (sqrt 0) into 0 15.001 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 15.001 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 15.001 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.005 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 15.008 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 15.008 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 15.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 15.018 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 15.018 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 15.019 * [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))))) 15.019 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 15.020 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 15.020 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 15.020 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 15.020 * [taylor]: Taking taylor expansion of 2.0 in n 15.020 * [backup-simplify]: Simplify 2.0 into 2.0 15.020 * [taylor]: Taking taylor expansion of (* n PI) in n 15.020 * [taylor]: Taking taylor expansion of n in n 15.020 * [backup-simplify]: Simplify 0 into 0 15.020 * [backup-simplify]: Simplify 1 into 1 15.020 * [taylor]: Taking taylor expansion of PI in n 15.020 * [backup-simplify]: Simplify PI into PI 15.020 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 15.020 * [taylor]: Taking taylor expansion of 2.0 in n 15.020 * [backup-simplify]: Simplify 2.0 into 2.0 15.020 * [taylor]: Taking taylor expansion of (* n PI) in n 15.020 * [taylor]: Taking taylor expansion of n in n 15.020 * [backup-simplify]: Simplify 0 into 0 15.020 * [backup-simplify]: Simplify 1 into 1 15.020 * [taylor]: Taking taylor expansion of PI in n 15.021 * [backup-simplify]: Simplify PI into PI 15.021 * [backup-simplify]: Simplify (* 0 PI) into 0 15.021 * [backup-simplify]: Simplify (* 2.0 0) into 0 15.022 * [backup-simplify]: Simplify 0 into 0 15.023 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.025 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 15.025 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.026 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.027 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 15.027 * [backup-simplify]: Simplify 0 into 0 15.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.028 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.028 * [backup-simplify]: Simplify 0 into 0 15.029 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.030 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 15.030 * [backup-simplify]: Simplify 0 into 0 15.031 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 15.031 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 15.031 * [backup-simplify]: Simplify 0 into 0 15.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 15.034 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 15.034 * [backup-simplify]: Simplify 0 into 0 15.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 15.036 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 15.036 * [backup-simplify]: Simplify 0 into 0 15.036 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 15.037 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 15.037 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 15.037 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 15.037 * [taylor]: Taking taylor expansion of 2.0 in n 15.037 * [backup-simplify]: Simplify 2.0 into 2.0 15.037 * [taylor]: Taking taylor expansion of (/ PI n) in n 15.037 * [taylor]: Taking taylor expansion of PI in n 15.037 * [backup-simplify]: Simplify PI into PI 15.037 * [taylor]: Taking taylor expansion of n in n 15.037 * [backup-simplify]: Simplify 0 into 0 15.037 * [backup-simplify]: Simplify 1 into 1 15.037 * [backup-simplify]: Simplify (/ PI 1) into PI 15.037 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 15.037 * [taylor]: Taking taylor expansion of 2.0 in n 15.037 * [backup-simplify]: Simplify 2.0 into 2.0 15.037 * [taylor]: Taking taylor expansion of (/ PI n) in n 15.037 * [taylor]: Taking taylor expansion of PI in n 15.037 * [backup-simplify]: Simplify PI into PI 15.037 * [taylor]: Taking taylor expansion of n in n 15.037 * [backup-simplify]: Simplify 0 into 0 15.037 * [backup-simplify]: Simplify 1 into 1 15.037 * [backup-simplify]: Simplify (/ PI 1) into PI 15.038 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.038 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.039 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 15.039 * [backup-simplify]: Simplify 0 into 0 15.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.040 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 15.040 * [backup-simplify]: Simplify 0 into 0 15.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.042 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.042 * [backup-simplify]: Simplify 0 into 0 15.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.043 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.043 * [backup-simplify]: Simplify 0 into 0 15.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.045 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 15.045 * [backup-simplify]: Simplify 0 into 0 15.046 * [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 15.046 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 15.047 * [backup-simplify]: Simplify 0 into 0 15.047 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 15.047 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 15.047 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 15.047 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 15.047 * [taylor]: Taking taylor expansion of -2.0 in n 15.047 * [backup-simplify]: Simplify -2.0 into -2.0 15.047 * [taylor]: Taking taylor expansion of (/ PI n) in n 15.047 * [taylor]: Taking taylor expansion of PI in n 15.047 * [backup-simplify]: Simplify PI into PI 15.047 * [taylor]: Taking taylor expansion of n in n 15.047 * [backup-simplify]: Simplify 0 into 0 15.047 * [backup-simplify]: Simplify 1 into 1 15.048 * [backup-simplify]: Simplify (/ PI 1) into PI 15.048 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 15.048 * [taylor]: Taking taylor expansion of -2.0 in n 15.048 * [backup-simplify]: Simplify -2.0 into -2.0 15.048 * [taylor]: Taking taylor expansion of (/ PI n) in n 15.048 * [taylor]: Taking taylor expansion of PI in n 15.048 * [backup-simplify]: Simplify PI into PI 15.048 * [taylor]: Taking taylor expansion of n in n 15.048 * [backup-simplify]: Simplify 0 into 0 15.048 * [backup-simplify]: Simplify 1 into 1 15.048 * [backup-simplify]: Simplify (/ PI 1) into PI 15.049 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 15.049 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 15.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.050 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 15.050 * [backup-simplify]: Simplify 0 into 0 15.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.051 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 15.051 * [backup-simplify]: Simplify 0 into 0 15.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.053 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.053 * [backup-simplify]: Simplify 0 into 0 15.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.054 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.054 * [backup-simplify]: Simplify 0 into 0 15.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.056 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 15.056 * [backup-simplify]: Simplify 0 into 0 15.056 * [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 15.057 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 15.057 * [backup-simplify]: Simplify 0 into 0 15.058 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 15.058 * * * [progress]: simplifying candidates 15.062 * [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 (/ 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) (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +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))))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +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)) 15.066 * * [simplify]: iteration 0: 242 enodes 15.172 * * [simplify]: iteration 1: 614 enodes 15.475 * * [simplify]: iteration 2: 1862 enodes 16.386 * * [simplify]: iteration complete: 5001 enodes 16.386 * * [simplify]: Extracting #0: cost 87 inf + 0 16.387 * * [simplify]: Extracting #1: cost 648 inf + 43 16.394 * * [simplify]: Extracting #2: cost 1474 inf + 2771 16.429 * * [simplify]: Extracting #3: cost 1327 inf + 67527 16.482 * * [simplify]: Extracting #4: cost 587 inf + 292606 16.625 * * [simplify]: Extracting #5: cost 194 inf + 451090 16.755 * * [simplify]: Extracting #6: cost 49 inf + 479708 16.887 * * [simplify]: Extracting #7: cost 7 inf + 489506 17.054 * * [simplify]: Extracting #8: cost 0 inf + 492581 17.191 * [simplify]: Simplified to: (expm1 (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* n PI)))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* n PI)))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* n PI)))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* n PI)))) (/ (- 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 (* n PI)) (/ k 2.0)) (pow (* 2.0 (* n PI)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* n PI)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* n PI)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* 2.0 (* n PI)) (/ (cbrt (- 1.0 k)) (/ (sqrt 2.0) (cbrt (- 1.0 k))))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 (* n PI)) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* n PI)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (sqrt (- 1.0 k))) (pow (* 2.0 (* n PI)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* n PI)) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (pow (* 2.0 (* n PI)) (/ (/ (+ (sqrt 1.0) (sqrt k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 (* n PI)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* n PI)) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (pow (* 2.0 (* n PI)) (- 1.0 k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* n PI)))) (exp (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 (* n 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))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (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 (sqrt k))) (/ (cbrt 1.0) (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 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (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 (sqrt k))) (/ (cbrt 1.0) (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 (* n PI))) (log1p (* 2.0 (* n PI))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* 2.0 (* n PI))) (* (* (* (* (* PI 2.0) n) (* (* PI 2.0) n)) n) (* PI 2.0)) (* (* (* (* (* PI 2.0) n) (* (* PI 2.0) n)) n) (* PI 2.0)) (* (cbrt (* 2.0 (* n PI))) (cbrt (* 2.0 (* n PI)))) (cbrt (* 2.0 (* n PI))) (* (* (* (* (* PI 2.0) n) (* (* PI 2.0) n)) n) (* PI 2.0)) (sqrt (* 2.0 (* n PI))) (sqrt (* 2.0 (* n PI))) (* (* (* 2.0 PI) (cbrt n)) (cbrt n)) (* (sqrt n) (* PI 2.0)) (* PI 2.0) (* n PI) (- (+ (fma (* (* (* k (log (* PI 2.0))) (* k (log (* PI 2.0)))) (exp (* 0.5 (log (* 2.0 (* n PI)))))) 0.125 (exp (* 0.5 (log (* 2.0 (* n PI)))))) (* (* k k) (+ (* (* 0.25 (log (* PI 2.0))) (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (log n))) (* (* 0.125 (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (log n))) (log n))))) (* 0.5 (* (* k (exp (* 0.5 (log (* 2.0 (* n PI)))))) (log (* 2.0 (* n PI)))))) (exp (* (* (- 1.0 k) 0.5) (log (* 2.0 (* n PI))))) (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) (fma (- +nan.0) (* k k) (fma (- +nan.0) k +nan.0)) (fma +nan.0 (/ -1 (* k k)) (- (/ +nan.0 k) (/ +nan.0 (* (* k k) k)))) (fma +nan.0 (/ -1 (* k k)) (- (/ +nan.0 k) +nan.0)) (fma (- +nan.0) (* k k) (fma (- +nan.0) k +nan.0)) (fma +nan.0 (/ -1 (* k k)) (- (/ +nan.0 k) (/ +nan.0 (* (* k k) k)))) (fma +nan.0 (/ -1 (* k k)) (- (/ +nan.0 k) +nan.0)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 17.210 * * * [progress]: adding candidates to table 18.166 * * [progress]: iteration 4 / 4 18.166 * * * [progress]: picking best candidate 18.202 * * * * [pick]: Picked # 18.202 * * * [progress]: localizing error 18.283 * * * [progress]: generating rewritten candidates 18.283 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 18.285 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 1) 18.287 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 18.321 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 18.366 * * * [progress]: generating series expansions 18.367 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 18.367 * [backup-simplify]: Simplify (cbrt k) into (pow k 1/3) 18.367 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 18.367 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 18.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 18.367 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 18.367 * [taylor]: Taking taylor expansion of 1/3 in k 18.367 * [backup-simplify]: Simplify 1/3 into 1/3 18.367 * [taylor]: Taking taylor expansion of (log k) in k 18.367 * [taylor]: Taking taylor expansion of k in k 18.367 * [backup-simplify]: Simplify 0 into 0 18.367 * [backup-simplify]: Simplify 1 into 1 18.367 * [backup-simplify]: Simplify (log 1) into 0 18.368 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.368 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 18.368 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 18.368 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 18.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 18.368 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 18.368 * [taylor]: Taking taylor expansion of 1/3 in k 18.368 * [backup-simplify]: Simplify 1/3 into 1/3 18.368 * [taylor]: Taking taylor expansion of (log k) in k 18.368 * [taylor]: Taking taylor expansion of k in k 18.368 * [backup-simplify]: Simplify 0 into 0 18.368 * [backup-simplify]: Simplify 1 into 1 18.368 * [backup-simplify]: Simplify (log 1) into 0 18.369 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.369 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 18.369 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 18.369 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 18.370 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.370 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.370 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 18.371 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 18.371 * [backup-simplify]: Simplify 0 into 0 18.372 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 18.373 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.373 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 18.374 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.374 * [backup-simplify]: Simplify 0 into 0 18.377 * [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 18.377 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.378 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 18.379 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.379 * [backup-simplify]: Simplify 0 into 0 18.386 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 18.387 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.389 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 18.392 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.392 * [backup-simplify]: Simplify 0 into 0 18.409 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 18.410 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.412 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 18.415 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.416 * [backup-simplify]: Simplify 0 into 0 18.442 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 18.442 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.444 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 18.447 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.447 * [backup-simplify]: Simplify 0 into 0 18.447 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 18.447 * [backup-simplify]: Simplify (cbrt (/ 1 k)) into (pow (/ 1 k) 1/3) 18.447 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 18.447 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 18.448 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 18.448 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 18.448 * [taylor]: Taking taylor expansion of 1/3 in k 18.448 * [backup-simplify]: Simplify 1/3 into 1/3 18.448 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 18.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.448 * [taylor]: Taking taylor expansion of k in k 18.448 * [backup-simplify]: Simplify 0 into 0 18.448 * [backup-simplify]: Simplify 1 into 1 18.448 * [backup-simplify]: Simplify (/ 1 1) into 1 18.448 * [backup-simplify]: Simplify (log 1) into 0 18.448 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.449 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 18.449 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 18.449 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 18.449 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 18.449 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 18.449 * [taylor]: Taking taylor expansion of 1/3 in k 18.449 * [backup-simplify]: Simplify 1/3 into 1/3 18.449 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 18.449 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.449 * [taylor]: Taking taylor expansion of k in k 18.449 * [backup-simplify]: Simplify 0 into 0 18.449 * [backup-simplify]: Simplify 1 into 1 18.449 * [backup-simplify]: Simplify (/ 1 1) into 1 18.449 * [backup-simplify]: Simplify (log 1) into 0 18.450 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.450 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 18.450 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 18.450 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3) 18.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.451 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.452 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 18.452 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 18.452 * [backup-simplify]: Simplify 0 into 0 18.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.454 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 18.455 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.455 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 18.461 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.461 * [backup-simplify]: Simplify 0 into 0 18.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.464 * [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 18.465 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.465 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 18.466 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.466 * [backup-simplify]: Simplify 0 into 0 18.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.475 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 18.476 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.478 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 18.481 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.481 * [backup-simplify]: Simplify 0 into 0 18.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.499 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 18.499 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.501 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 18.504 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.504 * [backup-simplify]: Simplify 0 into 0 18.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.521 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 18.521 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.523 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 18.526 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.526 * [backup-simplify]: Simplify 0 into 0 18.526 * [backup-simplify]: Simplify (pow (/ 1 k) -1/3) into (pow (/ 1 k) -1/3) 18.526 * [backup-simplify]: Simplify (cbrt (/ 1 (- k))) into (* (cbrt -1) (pow (/ 1 k) 1/3)) 18.526 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 k) 1/3)) in (k) around 0 18.526 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 k) 1/3)) in k 18.526 * [taylor]: Taking taylor expansion of (cbrt -1) in k 18.526 * [taylor]: Taking taylor expansion of -1 in k 18.526 * [backup-simplify]: Simplify -1 into -1 18.527 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 18.527 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 18.527 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 18.527 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 18.527 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 18.527 * [taylor]: Taking taylor expansion of 1/3 in k 18.527 * [backup-simplify]: Simplify 1/3 into 1/3 18.527 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 18.527 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.527 * [taylor]: Taking taylor expansion of k in k 18.527 * [backup-simplify]: Simplify 0 into 0 18.527 * [backup-simplify]: Simplify 1 into 1 18.528 * [backup-simplify]: Simplify (/ 1 1) into 1 18.528 * [backup-simplify]: Simplify (log 1) into 0 18.528 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.528 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 18.528 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 18.528 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 k) 1/3)) in k 18.528 * [taylor]: Taking taylor expansion of (cbrt -1) in k 18.528 * [taylor]: Taking taylor expansion of -1 in k 18.528 * [backup-simplify]: Simplify -1 into -1 18.529 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 18.529 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 18.529 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 18.529 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 18.529 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 18.529 * [taylor]: Taking taylor expansion of 1/3 in k 18.529 * [backup-simplify]: Simplify 1/3 into 1/3 18.529 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 18.529 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.529 * [taylor]: Taking taylor expansion of k in k 18.529 * [backup-simplify]: Simplify 0 into 0 18.529 * [backup-simplify]: Simplify 1 into 1 18.530 * [backup-simplify]: Simplify (/ 1 1) into 1 18.530 * [backup-simplify]: Simplify (log 1) into 0 18.530 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.530 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 18.530 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 18.531 * [backup-simplify]: Simplify (* (cbrt -1) (pow k -1/3)) into (* (cbrt -1) (pow (/ 1 k) 1/3)) 18.531 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 k) 1/3)) into (* (cbrt -1) (pow (/ 1 k) 1/3)) 18.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.533 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.533 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 18.533 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 18.534 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow k -1/3))) into 0 18.534 * [backup-simplify]: Simplify 0 into 0 18.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.536 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 18.536 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.537 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 18.538 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 18.539 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow k -1/3)))) into 0 18.539 * [backup-simplify]: Simplify 0 into 0 18.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.543 * [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 18.543 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.544 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 18.545 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.545 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 18.547 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))) into 0 18.547 * [backup-simplify]: Simplify 0 into 0 18.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.559 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 18.559 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.561 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 18.563 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 18.574 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))) into 0 18.574 * [backup-simplify]: Simplify 0 into 0 18.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.584 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 18.584 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.585 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 18.587 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 18.590 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))))) into 0 18.590 * [backup-simplify]: Simplify 0 into 0 18.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.609 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 18.609 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.611 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 18.614 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.615 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 18.617 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))))) into 0 18.617 * [backup-simplify]: Simplify 0 into 0 18.617 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- k))) 1/3)) into (* (pow (* k -1) 1/3) (cbrt -1)) 18.617 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 1) 18.617 * [backup-simplify]: Simplify (cbrt k) into (pow k 1/3) 18.617 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 18.617 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 18.617 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 18.617 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 18.617 * [taylor]: Taking taylor expansion of 1/3 in k 18.617 * [backup-simplify]: Simplify 1/3 into 1/3 18.617 * [taylor]: Taking taylor expansion of (log k) in k 18.617 * [taylor]: Taking taylor expansion of k in k 18.617 * [backup-simplify]: Simplify 0 into 0 18.617 * [backup-simplify]: Simplify 1 into 1 18.618 * [backup-simplify]: Simplify (log 1) into 0 18.618 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.618 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 18.618 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 18.618 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 18.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 18.618 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 18.618 * [taylor]: Taking taylor expansion of 1/3 in k 18.618 * [backup-simplify]: Simplify 1/3 into 1/3 18.618 * [taylor]: Taking taylor expansion of (log k) in k 18.618 * [taylor]: Taking taylor expansion of k in k 18.618 * [backup-simplify]: Simplify 0 into 0 18.618 * [backup-simplify]: Simplify 1 into 1 18.619 * [backup-simplify]: Simplify (log 1) into 0 18.619 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.619 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 18.619 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 18.619 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 18.620 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.620 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.621 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 18.621 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 18.621 * [backup-simplify]: Simplify 0 into 0 18.623 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 18.623 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.623 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 18.624 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.624 * [backup-simplify]: Simplify 0 into 0 18.627 * [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 18.627 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.628 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 18.629 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.629 * [backup-simplify]: Simplify 0 into 0 18.635 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 18.635 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.636 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 18.637 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.638 * [backup-simplify]: Simplify 0 into 0 18.646 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 18.647 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.648 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 18.650 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.650 * [backup-simplify]: Simplify 0 into 0 18.672 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 18.673 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.675 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 18.682 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.682 * [backup-simplify]: Simplify 0 into 0 18.682 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 18.682 * [backup-simplify]: Simplify (cbrt (/ 1 k)) into (pow (/ 1 k) 1/3) 18.682 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 18.682 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 18.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 18.682 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 18.682 * [taylor]: Taking taylor expansion of 1/3 in k 18.682 * [backup-simplify]: Simplify 1/3 into 1/3 18.682 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 18.682 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.682 * [taylor]: Taking taylor expansion of k in k 18.682 * [backup-simplify]: Simplify 0 into 0 18.682 * [backup-simplify]: Simplify 1 into 1 18.682 * [backup-simplify]: Simplify (/ 1 1) into 1 18.683 * [backup-simplify]: Simplify (log 1) into 0 18.683 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.683 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 18.683 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 18.683 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 18.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 18.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 18.683 * [taylor]: Taking taylor expansion of 1/3 in k 18.683 * [backup-simplify]: Simplify 1/3 into 1/3 18.683 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 18.683 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.683 * [taylor]: Taking taylor expansion of k in k 18.683 * [backup-simplify]: Simplify 0 into 0 18.683 * [backup-simplify]: Simplify 1 into 1 18.684 * [backup-simplify]: Simplify (/ 1 1) into 1 18.684 * [backup-simplify]: Simplify (log 1) into 0 18.684 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.684 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 18.684 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 18.684 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3) 18.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.686 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.686 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 18.687 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 18.687 * [backup-simplify]: Simplify 0 into 0 18.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.689 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 18.690 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.690 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 18.691 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.691 * [backup-simplify]: Simplify 0 into 0 18.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.694 * [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 18.695 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.695 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 18.696 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.696 * [backup-simplify]: Simplify 0 into 0 18.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.703 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 18.703 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.704 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 18.705 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.705 * [backup-simplify]: Simplify 0 into 0 18.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.720 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 18.720 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.722 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 18.726 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.726 * [backup-simplify]: Simplify 0 into 0 18.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.758 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 18.758 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.761 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 18.767 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.767 * [backup-simplify]: Simplify 0 into 0 18.767 * [backup-simplify]: Simplify (pow (/ 1 k) -1/3) into (pow (/ 1 k) -1/3) 18.767 * [backup-simplify]: Simplify (cbrt (/ 1 (- k))) into (* (cbrt -1) (pow (/ 1 k) 1/3)) 18.767 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 k) 1/3)) in (k) around 0 18.768 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 k) 1/3)) in k 18.768 * [taylor]: Taking taylor expansion of (cbrt -1) in k 18.768 * [taylor]: Taking taylor expansion of -1 in k 18.768 * [backup-simplify]: Simplify -1 into -1 18.768 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 18.769 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 18.769 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 18.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 18.769 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 18.769 * [taylor]: Taking taylor expansion of 1/3 in k 18.769 * [backup-simplify]: Simplify 1/3 into 1/3 18.769 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 18.769 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.769 * [taylor]: Taking taylor expansion of k in k 18.769 * [backup-simplify]: Simplify 0 into 0 18.769 * [backup-simplify]: Simplify 1 into 1 18.769 * [backup-simplify]: Simplify (/ 1 1) into 1 18.770 * [backup-simplify]: Simplify (log 1) into 0 18.770 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.770 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 18.770 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 18.770 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 k) 1/3)) in k 18.770 * [taylor]: Taking taylor expansion of (cbrt -1) in k 18.771 * [taylor]: Taking taylor expansion of -1 in k 18.771 * [backup-simplify]: Simplify -1 into -1 18.771 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 18.772 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 18.772 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 18.772 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 18.772 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 18.772 * [taylor]: Taking taylor expansion of 1/3 in k 18.772 * [backup-simplify]: Simplify 1/3 into 1/3 18.772 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 18.772 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.772 * [taylor]: Taking taylor expansion of k in k 18.772 * [backup-simplify]: Simplify 0 into 0 18.772 * [backup-simplify]: Simplify 1 into 1 18.773 * [backup-simplify]: Simplify (/ 1 1) into 1 18.773 * [backup-simplify]: Simplify (log 1) into 0 18.773 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.774 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 18.774 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 18.774 * [backup-simplify]: Simplify (* (cbrt -1) (pow k -1/3)) into (* (cbrt -1) (pow (/ 1 k) 1/3)) 18.775 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 k) 1/3)) into (* (cbrt -1) (pow (/ 1 k) 1/3)) 18.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.777 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.778 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.778 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 18.786 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 18.787 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow k -1/3))) into 0 18.787 * [backup-simplify]: Simplify 0 into 0 18.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.791 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 18.791 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.792 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 18.793 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 18.796 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow k -1/3)))) into 0 18.796 * [backup-simplify]: Simplify 0 into 0 18.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.802 * [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 18.803 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.804 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 18.806 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 18.808 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))) into 0 18.808 * [backup-simplify]: Simplify 0 into 0 18.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.820 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 18.821 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.822 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 18.825 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.827 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 18.828 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))) into 0 18.829 * [backup-simplify]: Simplify 0 into 0 18.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.842 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 18.842 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.843 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 18.845 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.846 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 18.848 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))))) into 0 18.848 * [backup-simplify]: Simplify 0 into 0 18.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.865 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 18.866 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.868 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 18.873 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 18.878 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))))) into 0 18.878 * [backup-simplify]: Simplify 0 into 0 18.879 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- k))) 1/3)) into (* (pow (* k -1) 1/3) (cbrt -1)) 18.879 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 18.880 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 18.880 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 18.880 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 18.880 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 18.880 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 18.880 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 18.880 * [taylor]: Taking taylor expansion of 0.5 in k 18.880 * [backup-simplify]: Simplify 0.5 into 0.5 18.880 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 18.880 * [taylor]: Taking taylor expansion of 1.0 in k 18.880 * [backup-simplify]: Simplify 1.0 into 1.0 18.880 * [taylor]: Taking taylor expansion of k in k 18.880 * [backup-simplify]: Simplify 0 into 0 18.881 * [backup-simplify]: Simplify 1 into 1 18.881 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 18.881 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 18.881 * [taylor]: Taking taylor expansion of 2.0 in k 18.881 * [backup-simplify]: Simplify 2.0 into 2.0 18.881 * [taylor]: Taking taylor expansion of (* n PI) in k 18.881 * [taylor]: Taking taylor expansion of n in k 18.881 * [backup-simplify]: Simplify n into n 18.881 * [taylor]: Taking taylor expansion of PI in k 18.881 * [backup-simplify]: Simplify PI into PI 18.881 * [backup-simplify]: Simplify (* n PI) into (* n PI) 18.881 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 18.881 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 18.881 * [backup-simplify]: Simplify (- 0) into 0 18.882 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 18.882 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 18.883 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 18.883 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 18.883 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 18.883 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 18.883 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 18.883 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 18.883 * [taylor]: Taking taylor expansion of 0.5 in n 18.883 * [backup-simplify]: Simplify 0.5 into 0.5 18.883 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 18.883 * [taylor]: Taking taylor expansion of 1.0 in n 18.883 * [backup-simplify]: Simplify 1.0 into 1.0 18.883 * [taylor]: Taking taylor expansion of k in n 18.883 * [backup-simplify]: Simplify k into k 18.883 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 18.883 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 18.883 * [taylor]: Taking taylor expansion of 2.0 in n 18.883 * [backup-simplify]: Simplify 2.0 into 2.0 18.883 * [taylor]: Taking taylor expansion of (* n PI) in n 18.883 * [taylor]: Taking taylor expansion of n in n 18.883 * [backup-simplify]: Simplify 0 into 0 18.883 * [backup-simplify]: Simplify 1 into 1 18.883 * [taylor]: Taking taylor expansion of PI in n 18.883 * [backup-simplify]: Simplify PI into PI 18.884 * [backup-simplify]: Simplify (* 0 PI) into 0 18.884 * [backup-simplify]: Simplify (* 2.0 0) into 0 18.886 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.888 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 18.889 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.889 * [backup-simplify]: Simplify (- k) into (- k) 18.889 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 18.889 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 18.891 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.892 * [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)))) 18.893 * [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))))) 18.893 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 18.893 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 18.893 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 18.893 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 18.893 * [taylor]: Taking taylor expansion of 0.5 in n 18.893 * [backup-simplify]: Simplify 0.5 into 0.5 18.893 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 18.894 * [taylor]: Taking taylor expansion of 1.0 in n 18.894 * [backup-simplify]: Simplify 1.0 into 1.0 18.894 * [taylor]: Taking taylor expansion of k in n 18.894 * [backup-simplify]: Simplify k into k 18.894 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 18.894 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 18.894 * [taylor]: Taking taylor expansion of 2.0 in n 18.894 * [backup-simplify]: Simplify 2.0 into 2.0 18.894 * [taylor]: Taking taylor expansion of (* n PI) in n 18.894 * [taylor]: Taking taylor expansion of n in n 18.894 * [backup-simplify]: Simplify 0 into 0 18.894 * [backup-simplify]: Simplify 1 into 1 18.894 * [taylor]: Taking taylor expansion of PI in n 18.894 * [backup-simplify]: Simplify PI into PI 18.894 * [backup-simplify]: Simplify (* 0 PI) into 0 18.895 * [backup-simplify]: Simplify (* 2.0 0) into 0 18.897 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.898 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 18.900 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.900 * [backup-simplify]: Simplify (- k) into (- k) 18.900 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 18.900 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 18.901 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.902 * [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)))) 18.903 * [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))))) 18.904 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 18.904 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 18.904 * [taylor]: Taking taylor expansion of 0.5 in k 18.904 * [backup-simplify]: Simplify 0.5 into 0.5 18.904 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 18.904 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 18.904 * [taylor]: Taking taylor expansion of 1.0 in k 18.904 * [backup-simplify]: Simplify 1.0 into 1.0 18.904 * [taylor]: Taking taylor expansion of k in k 18.904 * [backup-simplify]: Simplify 0 into 0 18.904 * [backup-simplify]: Simplify 1 into 1 18.904 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 18.904 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.904 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.904 * [taylor]: Taking taylor expansion of 2.0 in k 18.904 * [backup-simplify]: Simplify 2.0 into 2.0 18.904 * [taylor]: Taking taylor expansion of PI in k 18.904 * [backup-simplify]: Simplify PI into PI 18.905 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.906 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.906 * [taylor]: Taking taylor expansion of (log n) in k 18.906 * [taylor]: Taking taylor expansion of n in k 18.906 * [backup-simplify]: Simplify n into n 18.906 * [backup-simplify]: Simplify (log n) into (log n) 18.906 * [backup-simplify]: Simplify (- 0) into 0 18.907 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 18.908 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 18.909 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 18.916 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 18.917 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 18.919 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 18.920 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.921 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 18.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.923 * [backup-simplify]: Simplify (- 0) into 0 18.924 * [backup-simplify]: Simplify (+ 0 0) into 0 18.924 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 18.926 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.927 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 18.929 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.929 * [taylor]: Taking taylor expansion of 0 in k 18.929 * [backup-simplify]: Simplify 0 into 0 18.929 * [backup-simplify]: Simplify 0 into 0 18.930 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 18.932 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.933 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 18.934 * [backup-simplify]: Simplify (+ 0 0) into 0 18.934 * [backup-simplify]: Simplify (- 1) into -1 18.934 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.936 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 18.938 * [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)))) 18.942 * [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)))))) 18.945 * [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)))))) 18.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.948 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.952 * [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 18.953 * [backup-simplify]: Simplify (- 0) into 0 18.953 * [backup-simplify]: Simplify (+ 0 0) into 0 18.954 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 18.956 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.958 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 18.960 * [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 18.960 * [taylor]: Taking taylor expansion of 0 in k 18.960 * [backup-simplify]: Simplify 0 into 0 18.961 * [backup-simplify]: Simplify 0 into 0 18.961 * [backup-simplify]: Simplify 0 into 0 18.962 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.965 * [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 18.968 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 18.968 * [backup-simplify]: Simplify (+ 0 0) into 0 18.968 * [backup-simplify]: Simplify (- 0) into 0 18.969 * [backup-simplify]: Simplify (+ 0 0) into 0 18.971 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 18.974 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 18.979 * [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 n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 18.985 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 18.996 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 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 (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 18.997 * [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)))) 18.997 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 18.997 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 18.997 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 18.997 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 18.997 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 18.997 * [taylor]: Taking taylor expansion of 0.5 in k 18.997 * [backup-simplify]: Simplify 0.5 into 0.5 18.998 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 18.998 * [taylor]: Taking taylor expansion of 1.0 in k 18.998 * [backup-simplify]: Simplify 1.0 into 1.0 18.998 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.998 * [taylor]: Taking taylor expansion of k in k 18.998 * [backup-simplify]: Simplify 0 into 0 18.998 * [backup-simplify]: Simplify 1 into 1 18.998 * [backup-simplify]: Simplify (/ 1 1) into 1 18.998 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 18.998 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 18.998 * [taylor]: Taking taylor expansion of 2.0 in k 18.998 * [backup-simplify]: Simplify 2.0 into 2.0 18.998 * [taylor]: Taking taylor expansion of (/ PI n) in k 18.998 * [taylor]: Taking taylor expansion of PI in k 18.998 * [backup-simplify]: Simplify PI into PI 18.998 * [taylor]: Taking taylor expansion of n in k 18.999 * [backup-simplify]: Simplify n into n 18.999 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 18.999 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 18.999 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 18.999 * [backup-simplify]: Simplify (- 1) into -1 19.000 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.000 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 19.001 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 19.001 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 19.001 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 19.001 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 19.001 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 19.001 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 19.001 * [taylor]: Taking taylor expansion of 0.5 in n 19.001 * [backup-simplify]: Simplify 0.5 into 0.5 19.001 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 19.001 * [taylor]: Taking taylor expansion of 1.0 in n 19.001 * [backup-simplify]: Simplify 1.0 into 1.0 19.001 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.001 * [taylor]: Taking taylor expansion of k in n 19.001 * [backup-simplify]: Simplify k into k 19.001 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.001 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 19.001 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 19.001 * [taylor]: Taking taylor expansion of 2.0 in n 19.002 * [backup-simplify]: Simplify 2.0 into 2.0 19.002 * [taylor]: Taking taylor expansion of (/ PI n) in n 19.002 * [taylor]: Taking taylor expansion of PI in n 19.002 * [backup-simplify]: Simplify PI into PI 19.002 * [taylor]: Taking taylor expansion of n in n 19.002 * [backup-simplify]: Simplify 0 into 0 19.002 * [backup-simplify]: Simplify 1 into 1 19.002 * [backup-simplify]: Simplify (/ PI 1) into PI 19.003 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.004 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.004 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 19.004 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 19.004 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 19.006 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 19.008 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 19.009 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 19.009 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 19.009 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 19.009 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 19.009 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 19.010 * [taylor]: Taking taylor expansion of 0.5 in n 19.010 * [backup-simplify]: Simplify 0.5 into 0.5 19.010 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 19.010 * [taylor]: Taking taylor expansion of 1.0 in n 19.010 * [backup-simplify]: Simplify 1.0 into 1.0 19.010 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.010 * [taylor]: Taking taylor expansion of k in n 19.010 * [backup-simplify]: Simplify k into k 19.010 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.010 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 19.010 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 19.010 * [taylor]: Taking taylor expansion of 2.0 in n 19.010 * [backup-simplify]: Simplify 2.0 into 2.0 19.010 * [taylor]: Taking taylor expansion of (/ PI n) in n 19.010 * [taylor]: Taking taylor expansion of PI in n 19.010 * [backup-simplify]: Simplify PI into PI 19.010 * [taylor]: Taking taylor expansion of n in n 19.010 * [backup-simplify]: Simplify 0 into 0 19.010 * [backup-simplify]: Simplify 1 into 1 19.011 * [backup-simplify]: Simplify (/ PI 1) into PI 19.011 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.012 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.012 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 19.013 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 19.013 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 19.014 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 19.016 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 19.017 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 19.017 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 19.017 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 19.017 * [taylor]: Taking taylor expansion of 0.5 in k 19.017 * [backup-simplify]: Simplify 0.5 into 0.5 19.017 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 19.017 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 19.017 * [taylor]: Taking taylor expansion of 1.0 in k 19.018 * [backup-simplify]: Simplify 1.0 into 1.0 19.018 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.018 * [taylor]: Taking taylor expansion of k in k 19.018 * [backup-simplify]: Simplify 0 into 0 19.018 * [backup-simplify]: Simplify 1 into 1 19.018 * [backup-simplify]: Simplify (/ 1 1) into 1 19.018 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 19.019 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.019 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.019 * [taylor]: Taking taylor expansion of 2.0 in k 19.019 * [backup-simplify]: Simplify 2.0 into 2.0 19.019 * [taylor]: Taking taylor expansion of PI in k 19.019 * [backup-simplify]: Simplify PI into PI 19.019 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.021 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.021 * [taylor]: Taking taylor expansion of (log n) in k 19.021 * [taylor]: Taking taylor expansion of n in k 19.021 * [backup-simplify]: Simplify n into n 19.021 * [backup-simplify]: Simplify (log n) into (log n) 19.021 * [backup-simplify]: Simplify (- 1) into -1 19.022 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.022 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 19.023 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 19.024 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 19.026 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 19.027 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 19.028 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 19.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 19.030 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 19.032 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 19.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 19.033 * [backup-simplify]: Simplify (- 0) into 0 19.033 * [backup-simplify]: Simplify (+ 0 0) into 0 19.034 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 19.035 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 19.036 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 19.038 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 19.038 * [taylor]: Taking taylor expansion of 0 in k 19.038 * [backup-simplify]: Simplify 0 into 0 19.038 * [backup-simplify]: Simplify 0 into 0 19.038 * [backup-simplify]: Simplify 0 into 0 19.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.041 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 19.045 * [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 19.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 19.046 * [backup-simplify]: Simplify (- 0) into 0 19.046 * [backup-simplify]: Simplify (+ 0 0) into 0 19.047 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 19.048 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 19.050 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 19.053 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.053 * [taylor]: Taking taylor expansion of 0 in k 19.053 * [backup-simplify]: Simplify 0 into 0 19.053 * [backup-simplify]: Simplify 0 into 0 19.053 * [backup-simplify]: Simplify 0 into 0 19.053 * [backup-simplify]: Simplify 0 into 0 19.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.056 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 19.062 * [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 19.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 19.063 * [backup-simplify]: Simplify (- 0) into 0 19.063 * [backup-simplify]: Simplify (+ 0 0) into 0 19.064 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 19.066 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 19.068 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 19.071 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 19.071 * [taylor]: Taking taylor expansion of 0 in k 19.071 * [backup-simplify]: Simplify 0 into 0 19.071 * [backup-simplify]: Simplify 0 into 0 19.078 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 19.080 * [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))) 19.080 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 19.080 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 19.080 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 19.080 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 19.080 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 19.080 * [taylor]: Taking taylor expansion of 0.5 in k 19.080 * [backup-simplify]: Simplify 0.5 into 0.5 19.080 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 19.080 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.080 * [taylor]: Taking taylor expansion of k in k 19.080 * [backup-simplify]: Simplify 0 into 0 19.080 * [backup-simplify]: Simplify 1 into 1 19.080 * [backup-simplify]: Simplify (/ 1 1) into 1 19.080 * [taylor]: Taking taylor expansion of 1.0 in k 19.080 * [backup-simplify]: Simplify 1.0 into 1.0 19.081 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 19.081 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 19.081 * [taylor]: Taking taylor expansion of -2.0 in k 19.081 * [backup-simplify]: Simplify -2.0 into -2.0 19.081 * [taylor]: Taking taylor expansion of (/ PI n) in k 19.081 * [taylor]: Taking taylor expansion of PI in k 19.081 * [backup-simplify]: Simplify PI into PI 19.081 * [taylor]: Taking taylor expansion of n in k 19.081 * [backup-simplify]: Simplify n into n 19.081 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 19.081 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 19.081 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 19.081 * [backup-simplify]: Simplify (+ 1 0) into 1 19.082 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 19.082 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 19.082 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 19.082 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 19.082 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 19.082 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 19.083 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 19.083 * [taylor]: Taking taylor expansion of 0.5 in n 19.083 * [backup-simplify]: Simplify 0.5 into 0.5 19.083 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 19.083 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.083 * [taylor]: Taking taylor expansion of k in n 19.083 * [backup-simplify]: Simplify k into k 19.083 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.083 * [taylor]: Taking taylor expansion of 1.0 in n 19.083 * [backup-simplify]: Simplify 1.0 into 1.0 19.083 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 19.083 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 19.083 * [taylor]: Taking taylor expansion of -2.0 in n 19.083 * [backup-simplify]: Simplify -2.0 into -2.0 19.083 * [taylor]: Taking taylor expansion of (/ PI n) in n 19.083 * [taylor]: Taking taylor expansion of PI in n 19.083 * [backup-simplify]: Simplify PI into PI 19.083 * [taylor]: Taking taylor expansion of n in n 19.083 * [backup-simplify]: Simplify 0 into 0 19.083 * [backup-simplify]: Simplify 1 into 1 19.084 * [backup-simplify]: Simplify (/ PI 1) into PI 19.084 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 19.085 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 19.085 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 19.086 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 19.087 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 19.087 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 19.088 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 19.088 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 19.088 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 19.088 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 19.088 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 19.088 * [taylor]: Taking taylor expansion of 0.5 in n 19.088 * [backup-simplify]: Simplify 0.5 into 0.5 19.088 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 19.088 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.088 * [taylor]: Taking taylor expansion of k in n 19.088 * [backup-simplify]: Simplify k into k 19.088 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.088 * [taylor]: Taking taylor expansion of 1.0 in n 19.088 * [backup-simplify]: Simplify 1.0 into 1.0 19.088 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 19.088 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 19.088 * [taylor]: Taking taylor expansion of -2.0 in n 19.088 * [backup-simplify]: Simplify -2.0 into -2.0 19.088 * [taylor]: Taking taylor expansion of (/ PI n) in n 19.088 * [taylor]: Taking taylor expansion of PI in n 19.089 * [backup-simplify]: Simplify PI into PI 19.089 * [taylor]: Taking taylor expansion of n in n 19.089 * [backup-simplify]: Simplify 0 into 0 19.089 * [backup-simplify]: Simplify 1 into 1 19.089 * [backup-simplify]: Simplify (/ PI 1) into PI 19.089 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 19.090 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 19.090 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 19.090 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 19.091 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 19.092 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 19.092 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 19.093 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 19.093 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 19.093 * [taylor]: Taking taylor expansion of 0.5 in k 19.093 * [backup-simplify]: Simplify 0.5 into 0.5 19.093 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 19.093 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 19.093 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 19.093 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 19.093 * [taylor]: Taking taylor expansion of -2.0 in k 19.093 * [backup-simplify]: Simplify -2.0 into -2.0 19.093 * [taylor]: Taking taylor expansion of PI in k 19.093 * [backup-simplify]: Simplify PI into PI 19.093 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 19.094 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 19.094 * [taylor]: Taking taylor expansion of (log n) in k 19.094 * [taylor]: Taking taylor expansion of n in k 19.094 * [backup-simplify]: Simplify n into n 19.094 * [backup-simplify]: Simplify (log n) into (log n) 19.094 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 19.094 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.094 * [taylor]: Taking taylor expansion of k in k 19.094 * [backup-simplify]: Simplify 0 into 0 19.094 * [backup-simplify]: Simplify 1 into 1 19.094 * [backup-simplify]: Simplify (/ 1 1) into 1 19.094 * [taylor]: Taking taylor expansion of 1.0 in k 19.094 * [backup-simplify]: Simplify 1.0 into 1.0 19.094 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 19.095 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 19.095 * [backup-simplify]: Simplify (+ 1 0) into 1 19.096 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 19.097 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 19.097 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 19.098 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 19.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 19.099 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 19.100 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 19.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 19.101 * [backup-simplify]: Simplify (+ 0 0) into 0 19.101 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 19.102 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 19.103 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 19.104 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 19.104 * [taylor]: Taking taylor expansion of 0 in k 19.104 * [backup-simplify]: Simplify 0 into 0 19.104 * [backup-simplify]: Simplify 0 into 0 19.104 * [backup-simplify]: Simplify 0 into 0 19.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.105 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 19.107 * [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 19.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 19.108 * [backup-simplify]: Simplify (+ 0 0) into 0 19.108 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 19.109 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 19.110 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 19.112 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.112 * [taylor]: Taking taylor expansion of 0 in k 19.112 * [backup-simplify]: Simplify 0 into 0 19.112 * [backup-simplify]: Simplify 0 into 0 19.112 * [backup-simplify]: Simplify 0 into 0 19.112 * [backup-simplify]: Simplify 0 into 0 19.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.113 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 19.119 * [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 19.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 19.120 * [backup-simplify]: Simplify (+ 0 0) into 0 19.122 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 19.123 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 19.125 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 19.129 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 19.129 * [taylor]: Taking taylor expansion of 0 in k 19.129 * [backup-simplify]: Simplify 0 into 0 19.129 * [backup-simplify]: Simplify 0 into 0 19.130 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 19.131 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 19.131 * [backup-simplify]: Simplify (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) into (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) 19.131 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in (k) around 0 19.131 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in k 19.131 * [taylor]: Taking taylor expansion of 1.0 in k 19.131 * [backup-simplify]: Simplify 1.0 into 1.0 19.131 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) in k 19.131 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 19.131 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 19.131 * [backup-simplify]: Simplify (fabs (pow k 1/3)) into (fabs (pow k 1/3)) 19.132 * [backup-simplify]: Simplify (/ 1 (fabs (pow k 1/3))) into (/ 1 (fabs (pow k 1/3))) 19.132 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 19.132 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 19.132 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 19.132 * [taylor]: Taking taylor expansion of 1/6 in k 19.132 * [backup-simplify]: Simplify 1/6 into 1/6 19.132 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 19.132 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.132 * [taylor]: Taking taylor expansion of k in k 19.132 * [backup-simplify]: Simplify 0 into 0 19.132 * [backup-simplify]: Simplify 1 into 1 19.132 * [backup-simplify]: Simplify (/ 1 1) into 1 19.133 * [backup-simplify]: Simplify (log 1) into 0 19.133 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 19.133 * [backup-simplify]: Simplify (* 1/6 (- (log k))) into (* -1/6 (log k)) 19.134 * [backup-simplify]: Simplify (exp (* -1/6 (log k))) into (pow k -1/6) 19.134 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in k 19.134 * [taylor]: Taking taylor expansion of 1.0 in k 19.134 * [backup-simplify]: Simplify 1.0 into 1.0 19.134 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) in k 19.134 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 19.134 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 19.134 * [backup-simplify]: Simplify (fabs (pow k 1/3)) into (fabs (pow k 1/3)) 19.134 * [backup-simplify]: Simplify (/ 1 (fabs (pow k 1/3))) into (/ 1 (fabs (pow k 1/3))) 19.134 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 19.134 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 19.134 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 19.134 * [taylor]: Taking taylor expansion of 1/6 in k 19.134 * [backup-simplify]: Simplify 1/6 into 1/6 19.134 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 19.134 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.134 * [taylor]: Taking taylor expansion of k in k 19.134 * [backup-simplify]: Simplify 0 into 0 19.134 * [backup-simplify]: Simplify 1 into 1 19.135 * [backup-simplify]: Simplify (/ 1 1) into 1 19.135 * [backup-simplify]: Simplify (log 1) into 0 19.136 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 19.136 * [backup-simplify]: Simplify (* 1/6 (- (log k))) into (* -1/6 (log k)) 19.136 * [backup-simplify]: Simplify (exp (* -1/6 (log k))) into (pow k -1/6) 19.136 * [backup-simplify]: Simplify (* (/ 1 (fabs (pow k 1/3))) (pow k -1/6)) into (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) 19.137 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) into (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) 19.137 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) into (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) 19.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.139 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 19.140 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 19.140 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log k)))) into 0 19.141 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 19.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))))) into 0 19.142 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow k 1/3))) 0) (* 0 (pow k -1/6))) into 0 19.143 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)))) into 0 19.143 * [backup-simplify]: Simplify 0 into 0 19.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.148 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 19.148 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 19.149 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 19.150 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 19.151 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow k 1/3))) 0) (+ (* 0 0) (* 0 (pow k -1/6)))) into 0 19.152 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))))) into 0 19.152 * [backup-simplify]: Simplify 0 into 0 19.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.155 * [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 19.155 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 19.156 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 19.157 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 19.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 19.158 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow k 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/6))))) into 0 19.159 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)))))) into 0 19.159 * [backup-simplify]: Simplify 0 into 0 19.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.165 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 19.166 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 19.167 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 19.168 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 19.170 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow k 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/6)))))) into 0 19.171 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))))))) into 0 19.171 * [backup-simplify]: Simplify 0 into 0 19.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.184 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 19.184 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 19.187 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 19.191 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 19.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 19.201 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow k 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/6))))))) into 0 19.203 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)))))))) into 0 19.203 * [backup-simplify]: Simplify 0 into 0 19.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.238 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 19.239 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 19.242 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 19.249 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 19.253 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow k 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/6)))))))) into 0 19.256 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))))))))) into 0 19.256 * [backup-simplify]: Simplify 0 into 0 19.256 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) into (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) 19.256 * [backup-simplify]: Simplify (/ (/ 1.0 (fabs (cbrt (/ 1 k)))) (sqrt (cbrt (/ 1 k)))) into (* 1.0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))) 19.256 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))) in (k) around 0 19.256 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))) in k 19.256 * [taylor]: Taking taylor expansion of 1.0 in k 19.257 * [backup-simplify]: Simplify 1.0 into 1.0 19.257 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6)) in k 19.257 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 19.257 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 19.257 * [backup-simplify]: Simplify (fabs (pow (/ 1 k) 1/3)) into (fabs (pow (/ 1 k) 1/3)) 19.257 * [backup-simplify]: Simplify (/ 1 (fabs (pow (/ 1 k) 1/3))) into (/ 1 (fabs (pow (/ 1 k) 1/3))) 19.257 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 19.257 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 19.257 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 19.257 * [taylor]: Taking taylor expansion of 1/6 in k 19.257 * [backup-simplify]: Simplify 1/6 into 1/6 19.257 * [taylor]: Taking taylor expansion of (log k) in k 19.257 * [taylor]: Taking taylor expansion of k in k 19.257 * [backup-simplify]: Simplify 0 into 0 19.257 * [backup-simplify]: Simplify 1 into 1 19.258 * [backup-simplify]: Simplify (log 1) into 0 19.258 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 19.258 * [backup-simplify]: Simplify (* 1/6 (log k)) into (* 1/6 (log k)) 19.259 * [backup-simplify]: Simplify (exp (* 1/6 (log k))) into (pow k 1/6) 19.259 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))) in k 19.259 * [taylor]: Taking taylor expansion of 1.0 in k 19.259 * [backup-simplify]: Simplify 1.0 into 1.0 19.259 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6)) in k 19.259 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 19.259 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 19.259 * [backup-simplify]: Simplify (fabs (pow (/ 1 k) 1/3)) into (fabs (pow (/ 1 k) 1/3)) 19.259 * [backup-simplify]: Simplify (/ 1 (fabs (pow (/ 1 k) 1/3))) into (/ 1 (fabs (pow (/ 1 k) 1/3))) 19.259 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 19.259 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 19.259 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 19.259 * [taylor]: Taking taylor expansion of 1/6 in k 19.259 * [backup-simplify]: Simplify 1/6 into 1/6 19.259 * [taylor]: Taking taylor expansion of (log k) in k 19.259 * [taylor]: Taking taylor expansion of k in k 19.259 * [backup-simplify]: Simplify 0 into 0 19.259 * [backup-simplify]: Simplify 1 into 1 19.260 * [backup-simplify]: Simplify (log 1) into 0 19.260 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 19.260 * [backup-simplify]: Simplify (* 1/6 (log k)) into (* 1/6 (log k)) 19.260 * [backup-simplify]: Simplify (exp (* 1/6 (log k))) into (pow k 1/6) 19.261 * [backup-simplify]: Simplify (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6)) into (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6)) 19.261 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))) into (* 1.0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))) 19.262 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))) into (* 1.0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))) 19.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 19.264 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 19.264 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log k))) into 0 19.265 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 19.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 19.266 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) 0) (* 0 (pow k 1/6))) into 0 19.267 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6)))) into 0 19.267 * [backup-simplify]: Simplify 0 into 0 19.270 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 19.270 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 19.271 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log k)))) into 0 19.272 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 19.272 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) 0) (+ (* 0 0) (* 0 (pow k 1/6)))) into 0 19.273 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))))) into 0 19.273 * [backup-simplify]: Simplify 0 into 0 19.276 * [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 19.276 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 19.277 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 19.278 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 19.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 19.279 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/6))))) into 0 19.280 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6)))))) into 0 19.280 * [backup-simplify]: Simplify 0 into 0 19.286 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 19.286 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 19.287 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 19.289 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 19.291 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/6)))))) into 0 19.292 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))))))) into 0 19.292 * [backup-simplify]: Simplify 0 into 0 19.304 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 19.304 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 19.306 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 19.310 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 19.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 19.313 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/6))))))) into 0 19.316 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6)))))))) into 0 19.316 * [backup-simplify]: Simplify 0 into 0 19.352 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 19.353 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 19.354 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 19.357 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 19.360 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/6)))))))) into 0 19.361 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))))))))) into 0 19.361 * [backup-simplify]: Simplify 0 into 0 19.362 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (fabs (pow (/ 1 (/ 1 k)) 1/3))) (pow (/ 1 k) 1/6))) into (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) 19.362 * [backup-simplify]: Simplify (/ (/ 1.0 (fabs (cbrt (/ 1 (- k))))) (sqrt (cbrt (/ 1 (- k))))) into (* 1.0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) 19.362 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in (k) around 0 19.362 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in k 19.362 * [taylor]: Taking taylor expansion of 1.0 in k 19.362 * [backup-simplify]: Simplify 1.0 into 1.0 19.362 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) in k 19.362 * [taylor]: Taking taylor expansion of (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) in k 19.362 * [taylor]: Taking taylor expansion of (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) in k 19.363 * [backup-simplify]: Simplify (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) into (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) 19.363 * [backup-simplify]: Simplify (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) into (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) 19.363 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) in k 19.363 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in k 19.363 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 19.363 * [taylor]: Taking taylor expansion of (cbrt -1) in k 19.363 * [taylor]: Taking taylor expansion of -1 in k 19.363 * [backup-simplify]: Simplify -1 into -1 19.364 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 19.364 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 19.365 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 19.366 * [backup-simplify]: Simplify (sqrt (/ 1 (cbrt -1))) into (sqrt (/ 1 (cbrt -1))) 19.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 19.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 19.367 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 19.367 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 19.367 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 19.367 * [taylor]: Taking taylor expansion of 1/6 in k 19.367 * [backup-simplify]: Simplify 1/6 into 1/6 19.367 * [taylor]: Taking taylor expansion of (log k) in k 19.367 * [taylor]: Taking taylor expansion of k in k 19.367 * [backup-simplify]: Simplify 0 into 0 19.367 * [backup-simplify]: Simplify 1 into 1 19.367 * [backup-simplify]: Simplify (log 1) into 0 19.368 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 19.368 * [backup-simplify]: Simplify (* 1/6 (log k)) into (* 1/6 (log k)) 19.368 * [backup-simplify]: Simplify (exp (* 1/6 (log k))) into (pow k 1/6) 19.368 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in k 19.368 * [taylor]: Taking taylor expansion of 1.0 in k 19.368 * [backup-simplify]: Simplify 1.0 into 1.0 19.368 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) in k 19.368 * [taylor]: Taking taylor expansion of (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) in k 19.368 * [taylor]: Taking taylor expansion of (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) in k 19.368 * [backup-simplify]: Simplify (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) into (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) 19.369 * [backup-simplify]: Simplify (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) into (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) 19.369 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) in k 19.369 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in k 19.369 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 19.369 * [taylor]: Taking taylor expansion of (cbrt -1) in k 19.369 * [taylor]: Taking taylor expansion of -1 in k 19.369 * [backup-simplify]: Simplify -1 into -1 19.369 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 19.370 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 19.370 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 19.371 * [backup-simplify]: Simplify (sqrt (/ 1 (cbrt -1))) into (sqrt (/ 1 (cbrt -1))) 19.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 19.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 19.373 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 19.373 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 19.373 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 19.373 * [taylor]: Taking taylor expansion of 1/6 in k 19.373 * [backup-simplify]: Simplify 1/6 into 1/6 19.373 * [taylor]: Taking taylor expansion of (log k) in k 19.373 * [taylor]: Taking taylor expansion of k in k 19.373 * [backup-simplify]: Simplify 0 into 0 19.373 * [backup-simplify]: Simplify 1 into 1 19.373 * [backup-simplify]: Simplify (log 1) into 0 19.373 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 19.373 * [backup-simplify]: Simplify (* 1/6 (log k)) into (* 1/6 (log k)) 19.373 * [backup-simplify]: Simplify (exp (* 1/6 (log k))) into (pow k 1/6) 19.375 * [backup-simplify]: Simplify (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) into (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) 19.376 * [backup-simplify]: Simplify (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) into (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) 19.378 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) into (* 1.0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) 19.379 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) into (* 1.0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) 19.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 19.380 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 19.381 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log k))) into 0 19.381 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 19.382 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (cbrt -1))) 0) (* 0 (pow k 1/6))) into 0 19.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))) into 0 19.384 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) 0) (* 0 (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) into 0 19.386 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))))) into 0 19.386 * [backup-simplify]: Simplify 0 into 0 19.387 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 19.388 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 19.388 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log k)))) into 0 19.389 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 19.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 19.392 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 19.392 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (cbrt -1))) 0) (+ (* 0 0) (* 0 (pow k 1/6)))) into 0 19.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))) into 0 19.396 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))))) into 0 19.400 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))))) into 0 19.400 * [backup-simplify]: Simplify 0 into 0 19.405 * [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 19.406 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 19.407 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 19.409 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 19.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 19.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 19.413 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 19.415 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (cbrt -1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/6))))) into 0 19.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))) into 0 19.421 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))))) into 0 19.425 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))))))) into 0 19.425 * [backup-simplify]: Simplify 0 into 0 19.434 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 19.435 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 19.436 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 19.438 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 19.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 19.443 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 19.445 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (cbrt -1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/6)))))) into 0 19.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))) into 0 19.453 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))))))) into 0 19.458 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))))))) into 0 19.458 * [backup-simplify]: Simplify 0 into 0 19.472 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 19.472 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 19.474 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 19.476 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 19.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 19.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 19.478 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 19.480 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (cbrt -1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/6))))))) into 0 19.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))) into 0 19.485 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))))))) into 0 19.487 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))))))))) into 0 19.487 * [backup-simplify]: Simplify 0 into 0 19.512 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 19.513 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 19.515 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 19.521 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 19.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 19.526 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 19.528 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (cbrt -1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/6)))))))) into 0 19.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))) into 0 19.534 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))))))))) into 0 19.537 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))))))))) into 0 19.537 * [backup-simplify]: Simplify 0 into 0 19.539 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 (/ 1 (- k))) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow (/ 1 (- k)) 1/6)))) into (* 1.0 (* (/ 1 (fabs (* (pow (* k -1) 1/3) (cbrt -1)))) (* (pow (/ -1 k) 1/6) (sqrt (/ 1 (cbrt -1)))))) 19.539 * * * [progress]: simplifying candidates 19.542 * [simplify]: Simplifying: (expm1 (cbrt k)) (log1p (cbrt k)) 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(cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt 1)) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 1) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (cbrt 1))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt 1)) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 1) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (cbrt k))) (/ 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k))))) (/ (sqrt (cbrt k)) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1 (fabs (cbrt k)))) (* (sqrt (cbrt k)) (fabs (cbrt k))) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* k -1) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* k -1) 1/3) (cbrt -1)) (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) (* 1.0 (* (/ 1 (fabs (* (pow (* k -1) 1/3) (cbrt -1)))) (* (pow (/ -1 k) 1/6) (sqrt (/ 1 (cbrt -1)))))) 19.547 * * [simplify]: iteration 0: 406 enodes 19.687 * * [simplify]: iteration 1: 965 enodes 20.059 * * [simplify]: iteration 2: 2615 enodes 20.686 * * [simplify]: iteration complete: 5001 enodes 20.686 * * [simplify]: Extracting #0: cost 205 inf + 0 20.689 * * [simplify]: Extracting #1: cost 1082 inf + 44 20.695 * * [simplify]: Extracting #2: cost 1798 inf + 6340 20.709 * * [simplify]: Extracting #3: cost 1690 inf + 93089 20.762 * * [simplify]: Extracting #4: cost 486 inf + 456141 20.895 * * [simplify]: Extracting #5: cost 28 inf + 616729 21.030 * * [simplify]: Extracting #6: cost 0 inf + 628649 21.165 * * [simplify]: Extracting #7: cost 0 inf + 627539 21.331 * * [simplify]: Extracting #8: cost 0 inf + 627524 21.474 * [simplify]: Simplified to: (expm1 (cbrt k)) (log1p (cbrt k)) (* 1/3 (log k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) (expm1 (cbrt k)) (log1p (cbrt k)) (* 1/3 (log k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) (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 (* 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 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (sqrt (- 1.0 k))) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (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 (* 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 (cbrt k))) (fabs (cbrt k)))) (log1p (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (log (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (log (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (log (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (exp (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (* (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ (* (/ 1.0 (fabs (cbrt k))) (/ 1.0 (fabs (cbrt k)))) (cbrt k))) (* (* (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (cbrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (cbrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (* (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))) (* (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))) (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (/ (- 1.0) (fabs (cbrt k))) (- (sqrt (cbrt k))) (* (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (* (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (cbrt (/ 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(* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (/ (sqrt (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (fabs (cbrt k)))) (* (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (/ (fabs (cbrt (cbrt k))) (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))))) (/ (cbrt 1.0) (* (sqrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k))))) (* (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))))) (/ (cbrt 1.0) (* (sqrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k))))) (* (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (/ (* (/ (cbrt 1.0) (cbrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (cbrt (sqrt (cbrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (* (/ (cbrt 1.0) (fabs (cbrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (fabs (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (* (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (* (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (* (/ (cbrt 1.0) (cbrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (cbrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (/ (cbrt 1.0) (sqrt (cbrt k))) (fabs (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (cbrt k)))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (/ (cbrt 1.0) (sqrt (cbrt k))) (fabs (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (/ (cbrt 1.0) (sqrt (cbrt k))) (fabs (cbrt k))) (/ (sqrt 1.0) (* (* (cbrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))))) (/ (sqrt 1.0) (* (cbrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (sqrt 1.0) (* (* (sqrt (cbrt (sqrt k))) (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k))))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (fabs (cbrt (cbrt k)))) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (sqrt 1.0) (* (* (sqrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k))))) (/ (sqrt 1.0) (* (sqrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (/ (sqrt 1.0) (* (* (sqrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k))))) (/ (sqrt 1.0) (* (sqrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (fabs (cbrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (* (fabs (cbrt k)) (sqrt (cbrt (cbrt k))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (sqrt 1.0) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (sqrt 1.0) (fabs (cbrt (cbrt k)))) (/ (sqrt 1.0) (* (fabs (cbrt k)) (sqrt (cbrt (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (sqrt 1.0) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (sqrt 1.0) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (* (* (cbrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))))) (/ 1.0 (* (cbrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ (/ 1 (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (cbrt (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (cbrt (sqrt k)))) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (/ (/ (/ 1 (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))) (fabs (cbrt (cbrt k)))) (/ (/ 1.0 (sqrt (cbrt (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ 1 (* (* (sqrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (/ 1 (* (* (sqrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (/ (/ 1 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (sqrt (fabs (cbrt k)))) (/ 1.0 (* (cbrt (sqrt (cbrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (cbrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (cbrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ 1.0 (* (sqrt (fabs (cbrt k))) (sqrt (cbrt (sqrt k))))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (fabs (cbrt (cbrt k)))) (/ (/ 1.0 (sqrt (cbrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (sqrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (sqrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (/ (/ 1 (cbrt (sqrt (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ 1.0 (cbrt (sqrt (cbrt k)))) (fabs (cbrt k))) (/ 1 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) 1 (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))) (/ 1 (fabs (cbrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1 (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1 (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))) (/ (/ 1 (cbrt (sqrt (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ 1.0 (cbrt (sqrt (cbrt k)))) (fabs (cbrt k))) (/ 1 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) 1 (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))) (/ 1 (fabs (cbrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1 (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1 (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))) (/ 1.0 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1 (sqrt (cbrt (cbrt k)))) (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) 1.0 (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (fabs (cbrt (cbrt k)))) (/ (/ 1 (sqrt (cbrt (cbrt k)))) (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (cbrt k)))) (fabs (cbrt k))) 1.0 (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (cbrt k)))) (fabs (cbrt k))) 1.0 (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (cbrt k))) (* (/ (sqrt (cbrt k)) 1.0) (fabs (cbrt k))) (/ (/ 1.0 (fabs (cbrt k))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ (/ 1.0 (fabs (cbrt k))) (fabs (cbrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (fabs (cbrt k))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (fabs (cbrt k))) (/ (sqrt (cbrt k)) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (sqrt (/ 1.0 (fabs (cbrt k))))) (* (cbrt (fabs (cbrt k))) (/ (sqrt (cbrt k)) (cbrt 1.0))) (* (sqrt (fabs (cbrt k))) (/ (sqrt (cbrt k)) (cbrt 1.0))) (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (cbrt 1.0))) (* (cbrt (fabs (cbrt k))) (/ (sqrt (cbrt k)) (sqrt 1.0))) (* (sqrt (fabs (cbrt k))) (/ (sqrt (cbrt k)) (sqrt 1.0))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (fabs (cbrt k)))) (* (/ (sqrt (cbrt k)) 1.0) (cbrt (fabs (cbrt k)))) (/ (* (sqrt (cbrt k)) (sqrt (fabs (cbrt k)))) 1.0) (* (/ (sqrt (cbrt k)) 1.0) (fabs (cbrt k))) (* (/ (sqrt (cbrt k)) 1.0) (fabs (cbrt k))) (* (sqrt (cbrt k)) (fabs (cbrt k))) (* (sqrt (cbrt k)) (fabs (cbrt k))) (cbrt k) (pow (/ 1 k) -1/3) (* (cbrt -1) (cbrt (- k))) (cbrt k) (pow (/ 1 k) -1/3) (* (cbrt -1) (cbrt (- k))) (fma (* (log (* 2.0 PI)) (exp (* 0.5 (log (* 2.0 (* PI n)))))) (* (* (* k k) (log n)) 0.25) (- (+ (fma (* (* (exp (* 0.5 (log (* 2.0 (* PI n))))) (log n)) (log n)) (* (* k k) 0.125) (* (* (log (* 2.0 PI)) (* (log (* 2.0 PI)) (exp (* 0.5 (log (* 2.0 (* PI n))))))) (* (* k k) 0.125))) (exp (* 0.5 (log (* 2.0 (* PI n)))))) (* (* k (fma (log n) (exp (* 0.5 (log (* 2.0 (* PI n))))) (* (log (* 2.0 PI)) (exp (* 0.5 (log (* 2.0 (* PI n)))))))) 0.5))) (exp (* (* (- 1.0 k) 0.5) (log (* 2.0 (* PI n))))) (exp (* (- (log (* -2.0 PI)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) (* (/ (pow (/ 1 k) 1/6) (fabs (cbrt k))) 1.0) (* (/ (pow (/ 1 k) 1/6) (fabs (cbrt k))) 1.0) (* (/ (* (pow (/ -1 k) 1/6) (sqrt (/ 1 (cbrt -1)))) (fabs (* (cbrt -1) (cbrt (- k))))) 1.0) 21.546 * * * [progress]: adding candidates to table 23.479 * [progress]: [Phase 3 of 3] Extracting. 23.479 * * [regime]: Finding splitpoints for: (# # # # # # #) 23.481 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 23.481 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 23.552 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 23.625 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 23.713 * * * [regime]: Found split indices: #