12.984 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.173 * * * [progress]: [2/2] Setting up program. 0.176 * [progress]: [Phase 2 of 3] Improving. 0.176 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.183 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.184 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.186 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.188 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.194 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.216 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.216 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.217 * * [progress]: iteration 1 / 4 0.217 * * * [progress]: picking best candidate 0.219 * * * * [pick]: Picked # 0.219 * * * [progress]: localizing error 0.233 * * * [progress]: generating rewritten candidates 0.233 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.237 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.242 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.250 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.267 * * * [progress]: generating series expansions 0.267 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.267 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.267 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.267 * [taylor]: Taking taylor expansion of 1.0 in k 0.267 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.267 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.267 * [taylor]: Taking taylor expansion of k in k 0.269 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.269 * [taylor]: Taking taylor expansion of 1.0 in k 0.269 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.269 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.269 * [taylor]: Taking taylor expansion of k in k 0.280 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.280 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.280 * [taylor]: Taking taylor expansion of 1.0 in k 0.280 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.280 * [taylor]: Taking taylor expansion of k in k 0.281 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.281 * [taylor]: Taking taylor expansion of 1.0 in k 0.282 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.282 * [taylor]: Taking taylor expansion of k in k 0.292 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.292 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.292 * [taylor]: Taking taylor expansion of 1.0 in k 0.292 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.292 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.292 * [taylor]: Taking taylor expansion of -1 in k 0.292 * [taylor]: Taking taylor expansion of k in k 0.293 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.293 * [taylor]: Taking taylor expansion of 1.0 in k 0.294 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.294 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.294 * [taylor]: Taking taylor expansion of -1 in k 0.294 * [taylor]: Taking taylor expansion of k in k 0.311 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.311 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.311 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.311 * [taylor]: Taking taylor expansion of 2.0 in n 0.311 * [taylor]: Taking taylor expansion of (* n PI) in n 0.311 * [taylor]: Taking taylor expansion of n in n 0.311 * [taylor]: Taking taylor expansion of PI in n 0.311 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.311 * [taylor]: Taking taylor expansion of 2.0 in n 0.311 * [taylor]: Taking taylor expansion of (* n PI) in n 0.311 * [taylor]: Taking taylor expansion of n in n 0.311 * [taylor]: Taking taylor expansion of PI in n 0.324 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.324 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.324 * [taylor]: Taking taylor expansion of 2.0 in n 0.324 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.324 * [taylor]: Taking taylor expansion of PI in n 0.324 * [taylor]: Taking taylor expansion of n in n 0.324 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.324 * [taylor]: Taking taylor expansion of 2.0 in n 0.324 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.324 * [taylor]: Taking taylor expansion of PI in n 0.324 * [taylor]: Taking taylor expansion of n in n 0.333 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.333 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.333 * [taylor]: Taking taylor expansion of -2.0 in n 0.333 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.333 * [taylor]: Taking taylor expansion of PI in n 0.333 * [taylor]: Taking taylor expansion of n in n 0.334 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.334 * [taylor]: Taking taylor expansion of -2.0 in n 0.334 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.334 * [taylor]: Taking taylor expansion of PI in n 0.334 * [taylor]: Taking taylor expansion of n in n 0.342 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.343 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.343 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.343 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.343 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.343 * [taylor]: Taking taylor expansion of 0.5 in k 0.343 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.343 * [taylor]: Taking taylor expansion of 1.0 in k 0.343 * [taylor]: Taking taylor expansion of k in k 0.343 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.343 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.343 * [taylor]: Taking taylor expansion of 2.0 in k 0.343 * [taylor]: Taking taylor expansion of (* n PI) in k 0.343 * [taylor]: Taking taylor expansion of n in k 0.343 * [taylor]: Taking taylor expansion of PI in k 0.344 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.344 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.344 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.344 * [taylor]: Taking taylor expansion of 0.5 in n 0.344 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.344 * [taylor]: Taking taylor expansion of 1.0 in n 0.344 * [taylor]: Taking taylor expansion of k in n 0.344 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.344 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.344 * [taylor]: Taking taylor expansion of 2.0 in n 0.344 * [taylor]: Taking taylor expansion of (* n PI) in n 0.344 * [taylor]: Taking taylor expansion of n in n 0.344 * [taylor]: Taking taylor expansion of PI in n 0.350 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.350 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.350 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.350 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.350 * [taylor]: Taking taylor expansion of 0.5 in n 0.350 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.350 * [taylor]: Taking taylor expansion of 1.0 in n 0.350 * [taylor]: Taking taylor expansion of k in n 0.350 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.350 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.350 * [taylor]: Taking taylor expansion of 2.0 in n 0.350 * [taylor]: Taking taylor expansion of (* n PI) in n 0.350 * [taylor]: Taking taylor expansion of n in n 0.350 * [taylor]: Taking taylor expansion of PI in n 0.355 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.355 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.355 * [taylor]: Taking taylor expansion of 0.5 in k 0.355 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.356 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.356 * [taylor]: Taking taylor expansion of 1.0 in k 0.356 * [taylor]: Taking taylor expansion of k in k 0.356 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.356 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.356 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.356 * [taylor]: Taking taylor expansion of 2.0 in k 0.356 * [taylor]: Taking taylor expansion of PI in k 0.357 * [taylor]: Taking taylor expansion of (log n) in k 0.357 * [taylor]: Taking taylor expansion of n in k 0.366 * [taylor]: Taking taylor expansion of 0 in k 0.382 * [taylor]: Taking taylor expansion of 0 in k 0.407 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.407 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.408 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.408 * [taylor]: Taking taylor expansion of 0.5 in k 0.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.408 * [taylor]: Taking taylor expansion of 1.0 in k 0.408 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.408 * [taylor]: Taking taylor expansion of k in k 0.408 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.408 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.408 * [taylor]: Taking taylor expansion of 2.0 in k 0.408 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.408 * [taylor]: Taking taylor expansion of PI in k 0.408 * [taylor]: Taking taylor expansion of n in k 0.409 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.409 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.409 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.409 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.409 * [taylor]: Taking taylor expansion of 0.5 in n 0.409 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.409 * [taylor]: Taking taylor expansion of 1.0 in n 0.409 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.409 * [taylor]: Taking taylor expansion of k in n 0.409 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.409 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.409 * [taylor]: Taking taylor expansion of 2.0 in n 0.409 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.409 * [taylor]: Taking taylor expansion of PI in n 0.409 * [taylor]: Taking taylor expansion of n in n 0.413 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.413 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.413 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.413 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.413 * [taylor]: Taking taylor expansion of 0.5 in n 0.413 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.413 * [taylor]: Taking taylor expansion of 1.0 in n 0.413 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.413 * [taylor]: Taking taylor expansion of k in n 0.413 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.413 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.413 * [taylor]: Taking taylor expansion of 2.0 in n 0.413 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.413 * [taylor]: Taking taylor expansion of PI in n 0.413 * [taylor]: Taking taylor expansion of n in n 0.417 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.417 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.417 * [taylor]: Taking taylor expansion of 0.5 in k 0.417 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.417 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.417 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.417 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.417 * [taylor]: Taking taylor expansion of 2.0 in k 0.417 * [taylor]: Taking taylor expansion of PI in k 0.418 * [taylor]: Taking taylor expansion of (log n) in k 0.418 * [taylor]: Taking taylor expansion of n in k 0.418 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.418 * [taylor]: Taking taylor expansion of 1.0 in k 0.418 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.418 * [taylor]: Taking taylor expansion of k in k 0.428 * [taylor]: Taking taylor expansion of 0 in k 0.435 * [taylor]: Taking taylor expansion of 0 in k 0.444 * [taylor]: Taking taylor expansion of 0 in k 0.445 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.446 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.446 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.446 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.446 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.446 * [taylor]: Taking taylor expansion of 0.5 in k 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.446 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.446 * [taylor]: Taking taylor expansion of k in k 0.446 * [taylor]: Taking taylor expansion of 1.0 in k 0.446 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.446 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.446 * [taylor]: Taking taylor expansion of -2.0 in k 0.446 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.446 * [taylor]: Taking taylor expansion of PI in k 0.446 * [taylor]: Taking taylor expansion of n in k 0.447 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.447 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.447 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.447 * [taylor]: Taking taylor expansion of 0.5 in n 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.447 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.447 * [taylor]: Taking taylor expansion of k in n 0.447 * [taylor]: Taking taylor expansion of 1.0 in n 0.447 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.447 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.447 * [taylor]: Taking taylor expansion of -2.0 in n 0.447 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.447 * [taylor]: Taking taylor expansion of PI in n 0.447 * [taylor]: Taking taylor expansion of n in n 0.451 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.451 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.451 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.451 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.451 * [taylor]: Taking taylor expansion of 0.5 in n 0.451 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.451 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.451 * [taylor]: Taking taylor expansion of k in n 0.451 * [taylor]: Taking taylor expansion of 1.0 in n 0.451 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.451 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.451 * [taylor]: Taking taylor expansion of -2.0 in n 0.451 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.451 * [taylor]: Taking taylor expansion of PI in n 0.451 * [taylor]: Taking taylor expansion of n in n 0.455 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.455 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.455 * [taylor]: Taking taylor expansion of 0.5 in k 0.455 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.455 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.455 * [taylor]: Taking taylor expansion of k in k 0.455 * [taylor]: Taking taylor expansion of 1.0 in k 0.455 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.455 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.455 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.455 * [taylor]: Taking taylor expansion of -2.0 in k 0.455 * [taylor]: Taking taylor expansion of PI in k 0.456 * [taylor]: Taking taylor expansion of (log n) in k 0.456 * [taylor]: Taking taylor expansion of n in k 0.465 * [taylor]: Taking taylor expansion of 0 in k 0.472 * [taylor]: Taking taylor expansion of 0 in k 0.487 * [taylor]: Taking taylor expansion of 0 in k 0.488 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.488 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 0.489 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.489 * [taylor]: Taking taylor expansion of 1.0 in n 0.489 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.489 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.489 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.489 * [taylor]: Taking taylor expansion of k in n 0.489 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.489 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.489 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.489 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.489 * [taylor]: Taking taylor expansion of 0.5 in n 0.489 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.489 * [taylor]: Taking taylor expansion of 1.0 in n 0.489 * [taylor]: Taking taylor expansion of k in n 0.489 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.489 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.489 * [taylor]: Taking taylor expansion of 2.0 in n 0.489 * [taylor]: Taking taylor expansion of (* n PI) in n 0.489 * [taylor]: Taking taylor expansion of n in n 0.489 * [taylor]: Taking taylor expansion of PI in n 0.494 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.494 * [taylor]: Taking taylor expansion of 1.0 in k 0.494 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.494 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.494 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.494 * [taylor]: Taking taylor expansion of k in k 0.496 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.496 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.496 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.496 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.496 * [taylor]: Taking taylor expansion of 0.5 in k 0.496 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.496 * [taylor]: Taking taylor expansion of 1.0 in k 0.496 * [taylor]: Taking taylor expansion of k in k 0.496 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.496 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.496 * [taylor]: Taking taylor expansion of 2.0 in k 0.496 * [taylor]: Taking taylor expansion of (* n PI) in k 0.496 * [taylor]: Taking taylor expansion of n in k 0.496 * [taylor]: Taking taylor expansion of PI in k 0.497 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.497 * [taylor]: Taking taylor expansion of 1.0 in k 0.497 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.497 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.497 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.497 * [taylor]: Taking taylor expansion of k in k 0.498 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.498 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.498 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.498 * [taylor]: Taking taylor expansion of 0.5 in k 0.498 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.498 * [taylor]: Taking taylor expansion of 1.0 in k 0.498 * [taylor]: Taking taylor expansion of k in k 0.498 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.498 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.499 * [taylor]: Taking taylor expansion of 2.0 in k 0.499 * [taylor]: Taking taylor expansion of (* n PI) in k 0.499 * [taylor]: Taking taylor expansion of n in k 0.499 * [taylor]: Taking taylor expansion of PI in k 0.500 * [taylor]: Taking taylor expansion of 0 in n 0.505 * [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 0.505 * [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 0.505 * [taylor]: Taking taylor expansion of +nan.0 in n 0.505 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.505 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.505 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.505 * [taylor]: Taking taylor expansion of 0.5 in n 0.505 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.505 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.505 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.505 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.505 * [taylor]: Taking taylor expansion of 1.0 in n 0.505 * [taylor]: Taking taylor expansion of (log PI) in n 0.505 * [taylor]: Taking taylor expansion of PI in n 0.507 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.507 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.507 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.507 * [taylor]: Taking taylor expansion of 1.0 in n 0.507 * [taylor]: Taking taylor expansion of (log n) in n 0.507 * [taylor]: Taking taylor expansion of n in n 0.508 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.508 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.508 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.508 * [taylor]: Taking taylor expansion of 1.0 in n 0.508 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.508 * [taylor]: Taking taylor expansion of 2.0 in n 0.527 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.527 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.527 * [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 0.527 * [taylor]: Taking taylor expansion of +nan.0 in n 0.527 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.528 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.528 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.528 * [taylor]: Taking taylor expansion of 0.5 in n 0.528 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.528 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.528 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.528 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.528 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.528 * [taylor]: Taking taylor expansion of 1.0 in n 0.528 * [taylor]: Taking taylor expansion of (log PI) in n 0.528 * [taylor]: Taking taylor expansion of PI in n 0.530 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.530 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.530 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.530 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.530 * [taylor]: Taking taylor expansion of 1.0 in n 0.530 * [taylor]: Taking taylor expansion of (log n) in n 0.530 * [taylor]: Taking taylor expansion of n in n 0.530 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.530 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.530 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.530 * [taylor]: Taking taylor expansion of 1.0 in n 0.530 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.530 * [taylor]: Taking taylor expansion of 2.0 in n 0.535 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.536 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.536 * [taylor]: Taking taylor expansion of +nan.0 in n 0.536 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.536 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.536 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.536 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.536 * [taylor]: Taking taylor expansion of 0.5 in n 0.536 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.536 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.536 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.536 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.536 * [taylor]: Taking taylor expansion of 1.0 in n 0.536 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.536 * [taylor]: Taking taylor expansion of 2.0 in n 0.538 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.538 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.538 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.538 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.538 * [taylor]: Taking taylor expansion of 1.0 in n 0.538 * [taylor]: Taking taylor expansion of (log PI) in n 0.538 * [taylor]: Taking taylor expansion of PI in n 0.539 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.540 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.540 * [taylor]: Taking taylor expansion of 1.0 in n 0.540 * [taylor]: Taking taylor expansion of (log n) in n 0.540 * [taylor]: Taking taylor expansion of n in n 0.544 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.544 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.544 * [taylor]: Taking taylor expansion of 2.0 in n 0.544 * [taylor]: Taking taylor expansion of (* n PI) in n 0.544 * [taylor]: Taking taylor expansion of n in n 0.544 * [taylor]: Taking taylor expansion of PI in n 0.599 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.599 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.599 * [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 0.599 * [taylor]: Taking taylor expansion of +nan.0 in n 0.599 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.599 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.600 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.600 * [taylor]: Taking taylor expansion of 0.5 in n 0.600 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.600 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.600 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.600 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.600 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.600 * [taylor]: Taking taylor expansion of 1.0 in n 0.600 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.600 * [taylor]: Taking taylor expansion of 2.0 in n 0.601 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.601 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.601 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.601 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.601 * [taylor]: Taking taylor expansion of 1.0 in n 0.601 * [taylor]: Taking taylor expansion of (log n) in n 0.602 * [taylor]: Taking taylor expansion of n in n 0.602 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.602 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.602 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.602 * [taylor]: Taking taylor expansion of 1.0 in n 0.602 * [taylor]: Taking taylor expansion of (log PI) in n 0.602 * [taylor]: Taking taylor expansion of PI in n 0.608 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.608 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.608 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.608 * [taylor]: Taking taylor expansion of +nan.0 in n 0.608 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.608 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.608 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.608 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.608 * [taylor]: Taking taylor expansion of 0.5 in n 0.608 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.608 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.608 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.608 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.608 * [taylor]: Taking taylor expansion of 1.0 in n 0.608 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.608 * [taylor]: Taking taylor expansion of 2.0 in n 0.610 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.610 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.610 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.610 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.610 * [taylor]: Taking taylor expansion of 1.0 in n 0.610 * [taylor]: Taking taylor expansion of (log PI) in n 0.610 * [taylor]: Taking taylor expansion of PI in n 0.612 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.612 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.612 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.612 * [taylor]: Taking taylor expansion of 1.0 in n 0.612 * [taylor]: Taking taylor expansion of (log n) in n 0.612 * [taylor]: Taking taylor expansion of n in n 0.616 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.616 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.616 * [taylor]: Taking taylor expansion of 2.0 in n 0.616 * [taylor]: Taking taylor expansion of (* n PI) in n 0.616 * [taylor]: Taking taylor expansion of n in n 0.616 * [taylor]: Taking taylor expansion of PI in n 0.619 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 0.619 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 0.619 * [taylor]: Taking taylor expansion of +nan.0 in n 0.619 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 0.619 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.619 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.619 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.619 * [taylor]: Taking taylor expansion of 0.5 in n 0.619 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.619 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.619 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.619 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.619 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.619 * [taylor]: Taking taylor expansion of 1.0 in n 0.619 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.619 * [taylor]: Taking taylor expansion of 2.0 in n 0.621 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.621 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.621 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.621 * [taylor]: Taking taylor expansion of 1.0 in n 0.621 * [taylor]: Taking taylor expansion of (log PI) in n 0.621 * [taylor]: Taking taylor expansion of PI in n 0.623 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.623 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.623 * [taylor]: Taking taylor expansion of 1.0 in n 0.623 * [taylor]: Taking taylor expansion of (log n) in n 0.623 * [taylor]: Taking taylor expansion of n in n 0.627 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.627 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.627 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.627 * [taylor]: Taking taylor expansion of 2.0 in n 0.627 * [taylor]: Taking taylor expansion of (* n PI) in n 0.627 * [taylor]: Taking taylor expansion of n in n 0.627 * [taylor]: Taking taylor expansion of PI in n 0.706 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 0.706 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.706 * [taylor]: Taking taylor expansion of 1.0 in n 0.706 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.706 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.706 * [taylor]: Taking taylor expansion of k in n 0.706 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.706 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.706 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.706 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.706 * [taylor]: Taking taylor expansion of 0.5 in n 0.706 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.706 * [taylor]: Taking taylor expansion of 1.0 in n 0.706 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.706 * [taylor]: Taking taylor expansion of k in n 0.706 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.706 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.706 * [taylor]: Taking taylor expansion of 2.0 in n 0.706 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.706 * [taylor]: Taking taylor expansion of PI in n 0.706 * [taylor]: Taking taylor expansion of n in n 0.710 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.710 * [taylor]: Taking taylor expansion of 1.0 in k 0.710 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.710 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.710 * [taylor]: Taking taylor expansion of k in k 0.711 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.711 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.711 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.711 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.711 * [taylor]: Taking taylor expansion of 0.5 in k 0.711 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.711 * [taylor]: Taking taylor expansion of 1.0 in k 0.711 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.711 * [taylor]: Taking taylor expansion of k in k 0.711 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.712 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.712 * [taylor]: Taking taylor expansion of 2.0 in k 0.712 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.712 * [taylor]: Taking taylor expansion of PI in k 0.712 * [taylor]: Taking taylor expansion of n in k 0.713 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.713 * [taylor]: Taking taylor expansion of 1.0 in k 0.713 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.713 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.713 * [taylor]: Taking taylor expansion of k in k 0.714 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.714 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.714 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.714 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.714 * [taylor]: Taking taylor expansion of 0.5 in k 0.714 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.714 * [taylor]: Taking taylor expansion of 1.0 in k 0.714 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.714 * [taylor]: Taking taylor expansion of k in k 0.714 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.714 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.714 * [taylor]: Taking taylor expansion of 2.0 in k 0.714 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.714 * [taylor]: Taking taylor expansion of PI in k 0.714 * [taylor]: Taking taylor expansion of n in k 0.716 * [taylor]: Taking taylor expansion of 0 in n 0.717 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.717 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.717 * [taylor]: Taking taylor expansion of +nan.0 in n 0.717 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.717 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.717 * [taylor]: Taking taylor expansion of 0.5 in n 0.717 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.717 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.717 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.717 * [taylor]: Taking taylor expansion of 2.0 in n 0.717 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.717 * [taylor]: Taking taylor expansion of PI in n 0.717 * [taylor]: Taking taylor expansion of n in n 0.718 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.718 * [taylor]: Taking taylor expansion of 1.0 in n 0.718 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.718 * [taylor]: Taking taylor expansion of k in n 0.726 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.726 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.726 * [taylor]: Taking taylor expansion of +nan.0 in n 0.727 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.727 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.727 * [taylor]: Taking taylor expansion of 0.5 in n 0.727 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.727 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.727 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.727 * [taylor]: Taking taylor expansion of 2.0 in n 0.727 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.727 * [taylor]: Taking taylor expansion of PI in n 0.727 * [taylor]: Taking taylor expansion of n in n 0.728 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.728 * [taylor]: Taking taylor expansion of 1.0 in n 0.728 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.728 * [taylor]: Taking taylor expansion of k in n 0.750 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.750 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.750 * [taylor]: Taking taylor expansion of +nan.0 in n 0.750 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.750 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.750 * [taylor]: Taking taylor expansion of 0.5 in n 0.750 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.750 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.750 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.750 * [taylor]: Taking taylor expansion of 2.0 in n 0.750 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.750 * [taylor]: Taking taylor expansion of PI in n 0.750 * [taylor]: Taking taylor expansion of n in n 0.751 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.751 * [taylor]: Taking taylor expansion of 1.0 in n 0.752 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.752 * [taylor]: Taking taylor expansion of k in n 0.760 * [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 0.760 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.760 * [taylor]: Taking taylor expansion of 1.0 in n 0.760 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.760 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.760 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.760 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.760 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.760 * [taylor]: Taking taylor expansion of 0.5 in n 0.760 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.760 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.760 * [taylor]: Taking taylor expansion of k in n 0.760 * [taylor]: Taking taylor expansion of 1.0 in n 0.760 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.761 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.761 * [taylor]: Taking taylor expansion of -2.0 in n 0.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.761 * [taylor]: Taking taylor expansion of PI in n 0.761 * [taylor]: Taking taylor expansion of n in n 0.764 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.764 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.764 * [taylor]: Taking taylor expansion of -1 in n 0.764 * [taylor]: Taking taylor expansion of k in n 0.765 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.765 * [taylor]: Taking taylor expansion of 1.0 in k 0.765 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.765 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.765 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.765 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.765 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.765 * [taylor]: Taking taylor expansion of 0.5 in k 0.765 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.765 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.765 * [taylor]: Taking taylor expansion of k in k 0.766 * [taylor]: Taking taylor expansion of 1.0 in k 0.766 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.766 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.766 * [taylor]: Taking taylor expansion of -2.0 in k 0.766 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.766 * [taylor]: Taking taylor expansion of PI in k 0.766 * [taylor]: Taking taylor expansion of n in k 0.767 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.767 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.767 * [taylor]: Taking taylor expansion of -1 in k 0.767 * [taylor]: Taking taylor expansion of k in k 0.768 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.768 * [taylor]: Taking taylor expansion of 1.0 in k 0.768 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.768 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.768 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.768 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.768 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.768 * [taylor]: Taking taylor expansion of 0.5 in k 0.768 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.768 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.768 * [taylor]: Taking taylor expansion of k in k 0.768 * [taylor]: Taking taylor expansion of 1.0 in k 0.768 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.768 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.769 * [taylor]: Taking taylor expansion of -2.0 in k 0.769 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.769 * [taylor]: Taking taylor expansion of PI in k 0.769 * [taylor]: Taking taylor expansion of n in k 0.769 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.769 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.769 * [taylor]: Taking taylor expansion of -1 in k 0.769 * [taylor]: Taking taylor expansion of k in k 0.771 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.771 * [taylor]: Taking taylor expansion of +nan.0 in n 0.771 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.771 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.771 * [taylor]: Taking taylor expansion of 0.5 in n 0.771 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.771 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.771 * [taylor]: Taking taylor expansion of k in n 0.771 * [taylor]: Taking taylor expansion of 1.0 in n 0.771 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.771 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.771 * [taylor]: Taking taylor expansion of -2.0 in n 0.771 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.771 * [taylor]: Taking taylor expansion of PI in n 0.771 * [taylor]: Taking taylor expansion of n in n 0.780 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.780 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.781 * [taylor]: Taking taylor expansion of +nan.0 in n 0.781 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.781 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.781 * [taylor]: Taking taylor expansion of 0.5 in n 0.781 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.781 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.781 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.781 * [taylor]: Taking taylor expansion of k in n 0.781 * [taylor]: Taking taylor expansion of 1.0 in n 0.781 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.781 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.781 * [taylor]: Taking taylor expansion of -2.0 in n 0.781 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.781 * [taylor]: Taking taylor expansion of PI in n 0.781 * [taylor]: Taking taylor expansion of n in n 0.799 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.799 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.799 * [taylor]: Taking taylor expansion of +nan.0 in n 0.799 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.799 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.799 * [taylor]: Taking taylor expansion of 0.5 in n 0.799 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.799 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.799 * [taylor]: Taking taylor expansion of k in n 0.799 * [taylor]: Taking taylor expansion of 1.0 in n 0.799 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.799 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.799 * [taylor]: Taking taylor expansion of -2.0 in n 0.799 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.799 * [taylor]: Taking taylor expansion of PI in n 0.799 * [taylor]: Taking taylor expansion of n in n 0.808 * * * [progress]: simplifying candidates 0.811 * [simplify]: Simplifying using # : (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (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)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log 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(cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.911 * * * [progress]: adding candidates to table 1.320 * * [progress]: iteration 2 / 4 1.320 * * * [progress]: picking best candidate 1.342 * * * * [pick]: Picked # 1.343 * * * [progress]: localizing error 1.366 * * * [progress]: generating rewritten candidates 1.366 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.376 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.381 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.386 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.397 * * * [progress]: generating series expansions 1.398 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.399 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 1.399 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 1.399 * [taylor]: Taking taylor expansion of 1.0 in k 1.399 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.399 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.399 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.399 * [taylor]: Taking taylor expansion of k in k 1.401 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.401 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.401 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.401 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.401 * [taylor]: Taking taylor expansion of 0.5 in k 1.401 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.401 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.401 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.401 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.401 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.401 * [taylor]: Taking taylor expansion of 1.0 in k 1.401 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.401 * [taylor]: Taking taylor expansion of 2.0 in k 1.403 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.403 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.403 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.403 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.403 * [taylor]: Taking taylor expansion of 1.0 in k 1.403 * [taylor]: Taking taylor expansion of (log n) in k 1.403 * [taylor]: Taking taylor expansion of n in k 1.403 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.403 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.403 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.403 * [taylor]: Taking taylor expansion of 1.0 in k 1.403 * [taylor]: Taking taylor expansion of (log PI) in k 1.403 * [taylor]: Taking taylor expansion of PI in k 1.408 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.408 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.408 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.408 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.408 * [taylor]: Taking taylor expansion of 0.5 in k 1.409 * [taylor]: Taking taylor expansion of k in k 1.409 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.409 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.409 * [taylor]: Taking taylor expansion of 2.0 in k 1.409 * [taylor]: Taking taylor expansion of (* n PI) in k 1.409 * [taylor]: Taking taylor expansion of n in k 1.409 * [taylor]: Taking taylor expansion of PI in k 1.412 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.412 * [taylor]: Taking taylor expansion of 1.0 in n 1.412 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.412 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.412 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.412 * [taylor]: Taking taylor expansion of k in n 1.412 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.412 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.412 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.412 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.412 * [taylor]: Taking taylor expansion of 0.5 in n 1.412 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.412 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.412 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.412 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.412 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.412 * [taylor]: Taking taylor expansion of 1.0 in n 1.412 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.412 * [taylor]: Taking taylor expansion of 2.0 in n 1.414 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.414 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.414 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.414 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.414 * [taylor]: Taking taylor expansion of 1.0 in n 1.414 * [taylor]: Taking taylor expansion of (log n) in n 1.414 * [taylor]: Taking taylor expansion of n in n 1.415 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.415 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.415 * [taylor]: Taking taylor expansion of 1.0 in n 1.415 * [taylor]: Taking taylor expansion of (log PI) in n 1.415 * [taylor]: Taking taylor expansion of PI in n 1.420 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.420 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.420 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.420 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.420 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.420 * [taylor]: Taking taylor expansion of 0.5 in n 1.420 * [taylor]: Taking taylor expansion of k in n 1.420 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.420 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.420 * [taylor]: Taking taylor expansion of 2.0 in n 1.420 * [taylor]: Taking taylor expansion of (* n PI) in n 1.420 * [taylor]: Taking taylor expansion of n in n 1.420 * [taylor]: Taking taylor expansion of PI in n 1.426 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.426 * [taylor]: Taking taylor expansion of 1.0 in n 1.426 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.426 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.426 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.426 * [taylor]: Taking taylor expansion of k in n 1.427 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.427 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.427 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.427 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.427 * [taylor]: Taking taylor expansion of 0.5 in n 1.427 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.427 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.427 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.427 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.427 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.427 * [taylor]: Taking taylor expansion of 1.0 in n 1.427 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.427 * [taylor]: Taking taylor expansion of 2.0 in n 1.429 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.429 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.429 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.429 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.429 * [taylor]: Taking taylor expansion of 1.0 in n 1.429 * [taylor]: Taking taylor expansion of (log n) in n 1.429 * [taylor]: Taking taylor expansion of n in n 1.429 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.429 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.429 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.429 * [taylor]: Taking taylor expansion of 1.0 in n 1.429 * [taylor]: Taking taylor expansion of (log PI) in n 1.429 * [taylor]: Taking taylor expansion of PI in n 1.435 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.435 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.435 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.435 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.435 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.435 * [taylor]: Taking taylor expansion of 0.5 in n 1.435 * [taylor]: Taking taylor expansion of k in n 1.435 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.435 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.435 * [taylor]: Taking taylor expansion of 2.0 in n 1.435 * [taylor]: Taking taylor expansion of (* n PI) in n 1.435 * [taylor]: Taking taylor expansion of n in n 1.435 * [taylor]: Taking taylor expansion of PI in n 1.446 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 1.446 * [taylor]: Taking taylor expansion of 1.0 in k 1.446 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 1.446 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.446 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.446 * [taylor]: Taking taylor expansion of k in k 1.448 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 1.448 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.448 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.448 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.448 * [taylor]: Taking taylor expansion of 0.5 in k 1.448 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.448 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.448 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.448 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.448 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.448 * [taylor]: Taking taylor expansion of 1.0 in k 1.448 * [taylor]: Taking taylor expansion of (log PI) in k 1.448 * [taylor]: Taking taylor expansion of PI in k 1.455 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.455 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.456 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.456 * [taylor]: Taking taylor expansion of 1.0 in k 1.456 * [taylor]: Taking taylor expansion of (log n) in k 1.456 * [taylor]: Taking taylor expansion of n in k 1.456 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.456 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.456 * [taylor]: Taking taylor expansion of 1.0 in k 1.456 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.456 * [taylor]: Taking taylor expansion of 2.0 in k 1.461 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.461 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.461 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.461 * [taylor]: Taking taylor expansion of 0.5 in k 1.461 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.461 * [taylor]: Taking taylor expansion of k in k 1.461 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.461 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.461 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.461 * [taylor]: Taking taylor expansion of 2.0 in k 1.461 * [taylor]: Taking taylor expansion of PI in k 1.462 * [taylor]: Taking taylor expansion of (log n) in k 1.462 * [taylor]: Taking taylor expansion of n in k 1.492 * [taylor]: Taking taylor expansion of 0 in k 1.551 * [taylor]: Taking taylor expansion of 0 in k 1.650 * [taylor]: Taking taylor expansion of 0 in k 1.897 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 1.898 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 1.898 * [taylor]: Taking taylor expansion of 1.0 in k 1.898 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.898 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.898 * [taylor]: Taking taylor expansion of k in k 1.899 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.899 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.899 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.899 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.899 * [taylor]: Taking taylor expansion of 0.5 in k 1.899 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.899 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.899 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.899 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.899 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.899 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.899 * [taylor]: Taking taylor expansion of 1.0 in k 1.899 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.899 * [taylor]: Taking taylor expansion of 2.0 in k 1.901 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.901 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.901 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.901 * [taylor]: Taking taylor expansion of 1.0 in k 1.901 * [taylor]: Taking taylor expansion of (log PI) in k 1.901 * [taylor]: Taking taylor expansion of PI in k 1.903 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.903 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.903 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.903 * [taylor]: Taking taylor expansion of 1.0 in k 1.903 * [taylor]: Taking taylor expansion of (log n) in k 1.903 * [taylor]: Taking taylor expansion of n in k 1.909 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.909 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.909 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.909 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.909 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.909 * [taylor]: Taking taylor expansion of 0.5 in k 1.909 * [taylor]: Taking taylor expansion of k in k 1.910 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.910 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.910 * [taylor]: Taking taylor expansion of 2.0 in k 1.910 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.910 * [taylor]: Taking taylor expansion of PI in k 1.910 * [taylor]: Taking taylor expansion of n in k 1.910 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.910 * [taylor]: Taking taylor expansion of 1.0 in n 1.910 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.910 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.910 * [taylor]: Taking taylor expansion of k in n 1.910 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.910 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.910 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.910 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.910 * [taylor]: Taking taylor expansion of 0.5 in n 1.910 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.910 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.910 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.910 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.910 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.910 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.910 * [taylor]: Taking taylor expansion of 1.0 in n 1.910 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.910 * [taylor]: Taking taylor expansion of 2.0 in n 1.912 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.912 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.912 * [taylor]: Taking taylor expansion of 1.0 in n 1.912 * [taylor]: Taking taylor expansion of (log PI) in n 1.912 * [taylor]: Taking taylor expansion of PI in n 1.914 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.914 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.914 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.914 * [taylor]: Taking taylor expansion of 1.0 in n 1.914 * [taylor]: Taking taylor expansion of (log n) in n 1.914 * [taylor]: Taking taylor expansion of n in n 1.921 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.921 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.921 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.921 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.921 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.921 * [taylor]: Taking taylor expansion of 0.5 in n 1.921 * [taylor]: Taking taylor expansion of k in n 1.921 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.921 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.921 * [taylor]: Taking taylor expansion of 2.0 in n 1.921 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.921 * [taylor]: Taking taylor expansion of PI in n 1.921 * [taylor]: Taking taylor expansion of n in n 1.926 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.926 * [taylor]: Taking taylor expansion of 1.0 in n 1.926 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.926 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.926 * [taylor]: Taking taylor expansion of k in n 1.926 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.926 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.926 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.926 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.926 * [taylor]: Taking taylor expansion of 0.5 in n 1.926 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.926 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.926 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.926 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.926 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.926 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.926 * [taylor]: Taking taylor expansion of 1.0 in n 1.926 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.926 * [taylor]: Taking taylor expansion of 2.0 in n 1.932 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.932 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.932 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.932 * [taylor]: Taking taylor expansion of 1.0 in n 1.932 * [taylor]: Taking taylor expansion of (log PI) in n 1.932 * [taylor]: Taking taylor expansion of PI in n 1.934 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.934 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.934 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.934 * [taylor]: Taking taylor expansion of 1.0 in n 1.934 * [taylor]: Taking taylor expansion of (log n) in n 1.934 * [taylor]: Taking taylor expansion of n in n 1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.941 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.941 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.941 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.941 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.941 * [taylor]: Taking taylor expansion of 0.5 in n 1.941 * [taylor]: Taking taylor expansion of k in n 1.941 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.941 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.941 * [taylor]: Taking taylor expansion of 2.0 in n 1.941 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.941 * [taylor]: Taking taylor expansion of PI in n 1.941 * [taylor]: Taking taylor expansion of n in n 1.951 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 1.951 * [taylor]: Taking taylor expansion of 1.0 in k 1.951 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 1.951 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.951 * [taylor]: Taking taylor expansion of k in k 1.953 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.953 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.953 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.953 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.953 * [taylor]: Taking taylor expansion of 0.5 in k 1.953 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.953 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.953 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.953 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.953 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.953 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.953 * [taylor]: Taking taylor expansion of 1.0 in k 1.953 * [taylor]: Taking taylor expansion of (log PI) in k 1.953 * [taylor]: Taking taylor expansion of PI in k 1.955 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.955 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.955 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.955 * [taylor]: Taking taylor expansion of 1.0 in k 1.955 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.955 * [taylor]: Taking taylor expansion of 2.0 in k 1.956 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.956 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.956 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.957 * [taylor]: Taking taylor expansion of 1.0 in k 1.957 * [taylor]: Taking taylor expansion of (log n) in k 1.957 * [taylor]: Taking taylor expansion of n in k 1.963 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.963 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.963 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.963 * [taylor]: Taking taylor expansion of 0.5 in k 1.963 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.963 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.963 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.963 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.963 * [taylor]: Taking taylor expansion of 2.0 in k 1.963 * [taylor]: Taking taylor expansion of PI in k 1.964 * [taylor]: Taking taylor expansion of (log n) in k 1.964 * [taylor]: Taking taylor expansion of n in k 1.964 * [taylor]: Taking taylor expansion of k in k 1.997 * [taylor]: Taking taylor expansion of 0 in k 2.057 * [taylor]: Taking taylor expansion of 0 in k 2.138 * [taylor]: Taking taylor expansion of 0 in k 2.192 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 2.193 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.194 * [taylor]: Taking taylor expansion of 1.0 in k 2.194 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.194 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.194 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.194 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.194 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.194 * [taylor]: Taking taylor expansion of -1 in k 2.194 * [taylor]: Taking taylor expansion of k in k 2.195 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.195 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.195 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.195 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.195 * [taylor]: Taking taylor expansion of -0.5 in k 2.195 * [taylor]: Taking taylor expansion of k in k 2.196 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.196 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.196 * [taylor]: Taking taylor expansion of -2.0 in k 2.196 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.196 * [taylor]: Taking taylor expansion of PI in k 2.196 * [taylor]: Taking taylor expansion of n in k 2.197 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.197 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.197 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.197 * [taylor]: Taking taylor expansion of 0.5 in k 2.197 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.197 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.197 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.197 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.197 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.197 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.197 * [taylor]: Taking taylor expansion of 1.0 in k 2.197 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.197 * [taylor]: Taking taylor expansion of -2.0 in k 2.199 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.199 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.199 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.199 * [taylor]: Taking taylor expansion of 1.0 in k 2.199 * [taylor]: Taking taylor expansion of (log PI) in k 2.199 * [taylor]: Taking taylor expansion of PI in k 2.201 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.201 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.201 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.201 * [taylor]: Taking taylor expansion of 1.0 in k 2.201 * [taylor]: Taking taylor expansion of (log n) in k 2.201 * [taylor]: Taking taylor expansion of n in k 2.207 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.207 * [taylor]: Taking taylor expansion of 1.0 in n 2.207 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.207 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.207 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.207 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.207 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.207 * [taylor]: Taking taylor expansion of -1 in n 2.207 * [taylor]: Taking taylor expansion of k in n 2.207 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.208 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.208 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.208 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.208 * [taylor]: Taking taylor expansion of -0.5 in n 2.208 * [taylor]: Taking taylor expansion of k in n 2.208 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.208 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.208 * [taylor]: Taking taylor expansion of -2.0 in n 2.208 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.208 * [taylor]: Taking taylor expansion of PI in n 2.208 * [taylor]: Taking taylor expansion of n in n 2.213 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.213 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.213 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.213 * [taylor]: Taking taylor expansion of 0.5 in n 2.213 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.213 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.213 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.213 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.213 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.213 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.213 * [taylor]: Taking taylor expansion of 1.0 in n 2.213 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.213 * [taylor]: Taking taylor expansion of -2.0 in n 2.215 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.215 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.215 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.215 * [taylor]: Taking taylor expansion of 1.0 in n 2.215 * [taylor]: Taking taylor expansion of (log PI) in n 2.215 * [taylor]: Taking taylor expansion of PI in n 2.217 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.217 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.217 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.217 * [taylor]: Taking taylor expansion of 1.0 in n 2.217 * [taylor]: Taking taylor expansion of (log n) in n 2.217 * [taylor]: Taking taylor expansion of n in n 2.224 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.224 * [taylor]: Taking taylor expansion of 1.0 in n 2.224 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.224 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.224 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.224 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.224 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.224 * [taylor]: Taking taylor expansion of -1 in n 2.224 * [taylor]: Taking taylor expansion of k in n 2.224 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.224 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.224 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.224 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.224 * [taylor]: Taking taylor expansion of -0.5 in n 2.224 * [taylor]: Taking taylor expansion of k in n 2.224 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.224 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.224 * [taylor]: Taking taylor expansion of -2.0 in n 2.224 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.224 * [taylor]: Taking taylor expansion of PI in n 2.224 * [taylor]: Taking taylor expansion of n in n 2.229 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.229 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.229 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.230 * [taylor]: Taking taylor expansion of 0.5 in n 2.230 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.230 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.230 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.230 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.230 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.230 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.230 * [taylor]: Taking taylor expansion of 1.0 in n 2.230 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.230 * [taylor]: Taking taylor expansion of -2.0 in n 2.231 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.231 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.231 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.232 * [taylor]: Taking taylor expansion of 1.0 in n 2.232 * [taylor]: Taking taylor expansion of (log PI) in n 2.232 * [taylor]: Taking taylor expansion of PI in n 2.233 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.233 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.233 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.233 * [taylor]: Taking taylor expansion of 1.0 in n 2.233 * [taylor]: Taking taylor expansion of (log n) in n 2.233 * [taylor]: Taking taylor expansion of n in n 2.245 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.246 * [taylor]: Taking taylor expansion of 1.0 in k 2.246 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.246 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.246 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.246 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.246 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.246 * [taylor]: Taking taylor expansion of -0.5 in k 2.246 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.246 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.246 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.246 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.246 * [taylor]: Taking taylor expansion of -2.0 in k 2.246 * [taylor]: Taking taylor expansion of PI in k 2.247 * [taylor]: Taking taylor expansion of (log n) in k 2.247 * [taylor]: Taking taylor expansion of n in k 2.247 * [taylor]: Taking taylor expansion of k in k 2.249 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.250 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.250 * [taylor]: Taking taylor expansion of -1 in k 2.250 * [taylor]: Taking taylor expansion of k in k 2.253 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.253 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.253 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.254 * [taylor]: Taking taylor expansion of 0.5 in k 2.254 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.254 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.254 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.254 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.254 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.254 * [taylor]: Taking taylor expansion of 1.0 in k 2.254 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.254 * [taylor]: Taking taylor expansion of -2.0 in k 2.255 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.255 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.255 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.255 * [taylor]: Taking taylor expansion of 1.0 in k 2.255 * [taylor]: Taking taylor expansion of (log PI) in k 2.255 * [taylor]: Taking taylor expansion of PI in k 2.257 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.257 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.257 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.257 * [taylor]: Taking taylor expansion of 1.0 in k 2.257 * [taylor]: Taking taylor expansion of (log n) in k 2.257 * [taylor]: Taking taylor expansion of n in k 2.299 * [taylor]: Taking taylor expansion of 0 in k 2.363 * [taylor]: Taking taylor expansion of 0 in k 2.408 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.409 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.409 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.409 * [taylor]: Taking taylor expansion of 2.0 in n 2.409 * [taylor]: Taking taylor expansion of (* n PI) in n 2.409 * [taylor]: Taking taylor expansion of n in n 2.409 * [taylor]: Taking taylor expansion of PI in n 2.409 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.409 * [taylor]: Taking taylor expansion of 2.0 in n 2.409 * [taylor]: Taking taylor expansion of (* n PI) in n 2.409 * [taylor]: Taking taylor expansion of n in n 2.409 * [taylor]: Taking taylor expansion of PI in n 2.421 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.421 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.421 * [taylor]: Taking taylor expansion of 2.0 in n 2.421 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.421 * [taylor]: Taking taylor expansion of PI in n 2.421 * [taylor]: Taking taylor expansion of n in n 2.421 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.421 * [taylor]: Taking taylor expansion of 2.0 in n 2.422 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.422 * [taylor]: Taking taylor expansion of PI in n 2.422 * [taylor]: Taking taylor expansion of n in n 2.430 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.430 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.430 * [taylor]: Taking taylor expansion of -2.0 in n 2.430 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.431 * [taylor]: Taking taylor expansion of PI in n 2.431 * [taylor]: Taking taylor expansion of n in n 2.431 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.431 * [taylor]: Taking taylor expansion of -2.0 in n 2.431 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.431 * [taylor]: Taking taylor expansion of PI in n 2.431 * [taylor]: Taking taylor expansion of n in n 2.443 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 2.443 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.443 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.443 * [taylor]: Taking taylor expansion of 2.0 in n 2.443 * [taylor]: Taking taylor expansion of (* n PI) in n 2.443 * [taylor]: Taking taylor expansion of n in n 2.443 * [taylor]: Taking taylor expansion of PI in n 2.443 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.443 * [taylor]: Taking taylor expansion of 2.0 in n 2.443 * [taylor]: Taking taylor expansion of (* n PI) in n 2.443 * [taylor]: Taking taylor expansion of n in n 2.444 * [taylor]: Taking taylor expansion of PI in n 2.456 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.456 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.456 * [taylor]: Taking taylor expansion of 2.0 in n 2.456 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.456 * [taylor]: Taking taylor expansion of PI in n 2.456 * [taylor]: Taking taylor expansion of n in n 2.456 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.456 * [taylor]: Taking taylor expansion of 2.0 in n 2.456 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.456 * [taylor]: Taking taylor expansion of PI in n 2.456 * [taylor]: Taking taylor expansion of n in n 2.465 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.465 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.465 * [taylor]: Taking taylor expansion of -2.0 in n 2.465 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.465 * [taylor]: Taking taylor expansion of PI in n 2.465 * [taylor]: Taking taylor expansion of n in n 2.466 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.466 * [taylor]: Taking taylor expansion of -2.0 in n 2.466 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.466 * [taylor]: Taking taylor expansion of PI in n 2.466 * [taylor]: Taking taylor expansion of n in n 2.474 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.475 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.475 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.475 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.475 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.475 * [taylor]: Taking taylor expansion of 0.5 in n 2.475 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.475 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.475 * [taylor]: Taking taylor expansion of 2.0 in n 2.475 * [taylor]: Taking taylor expansion of (* n PI) in n 2.475 * [taylor]: Taking taylor expansion of n in n 2.475 * [taylor]: Taking taylor expansion of PI in n 2.480 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.481 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.481 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.481 * [taylor]: Taking taylor expansion of 0.5 in n 2.481 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.481 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.481 * [taylor]: Taking taylor expansion of 2.0 in n 2.481 * [taylor]: Taking taylor expansion of (* n PI) in n 2.481 * [taylor]: Taking taylor expansion of n in n 2.481 * [taylor]: Taking taylor expansion of PI in n 2.562 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.562 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.562 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.562 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.562 * [taylor]: Taking taylor expansion of 0.5 in n 2.562 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.562 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.562 * [taylor]: Taking taylor expansion of 2.0 in n 2.563 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.563 * [taylor]: Taking taylor expansion of PI in n 2.563 * [taylor]: Taking taylor expansion of n in n 2.566 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.566 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.566 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.566 * [taylor]: Taking taylor expansion of 0.5 in n 2.566 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.566 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.566 * [taylor]: Taking taylor expansion of 2.0 in n 2.566 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.566 * [taylor]: Taking taylor expansion of PI in n 2.566 * [taylor]: Taking taylor expansion of n in n 2.644 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.644 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.644 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.644 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.644 * [taylor]: Taking taylor expansion of 0.5 in n 2.644 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.644 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.644 * [taylor]: Taking taylor expansion of -2.0 in n 2.644 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.644 * [taylor]: Taking taylor expansion of PI in n 2.644 * [taylor]: Taking taylor expansion of n in n 2.647 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.647 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.647 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.647 * [taylor]: Taking taylor expansion of 0.5 in n 2.648 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.648 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.648 * [taylor]: Taking taylor expansion of -2.0 in n 2.648 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.648 * [taylor]: Taking taylor expansion of PI in n 2.648 * [taylor]: Taking taylor expansion of n in n 2.727 * * * [progress]: simplifying candidates 2.729 * [simplify]: Simplifying using # : (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 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(log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (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) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log n) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0 (fma (* +nan.0 (pow k 2)) (* (pow (log n) 2) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 k) (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (/ (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))) k) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (fma (- +nan.0) (/ (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (fma (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) +nan.0 (/ (* +nan.0 (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.828 * * * [progress]: adding candidates to table 3.067 * * [progress]: iteration 3 / 4 3.067 * * * [progress]: picking best candidate 3.087 * * * * [pick]: Picked # 3.087 * * * [progress]: localizing error 3.107 * * * [progress]: generating rewritten candidates 3.107 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.117 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 3.123 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.127 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.143 * * * [progress]: generating series expansions 3.143 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.144 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.144 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.144 * [taylor]: Taking taylor expansion of 2.0 in n 3.144 * [taylor]: Taking taylor expansion of (* n PI) in n 3.144 * [taylor]: Taking taylor expansion of n in n 3.144 * [taylor]: Taking taylor expansion of PI in n 3.144 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.144 * [taylor]: Taking taylor expansion of 2.0 in n 3.144 * [taylor]: Taking taylor expansion of (* n PI) in n 3.144 * [taylor]: Taking taylor expansion of n in n 3.144 * [taylor]: Taking taylor expansion of PI in n 3.157 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.157 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.157 * [taylor]: Taking taylor expansion of 2.0 in n 3.157 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.157 * [taylor]: Taking taylor expansion of PI in n 3.157 * [taylor]: Taking taylor expansion of n in n 3.157 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.157 * [taylor]: Taking taylor expansion of 2.0 in n 3.157 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.157 * [taylor]: Taking taylor expansion of PI in n 3.157 * [taylor]: Taking taylor expansion of n in n 3.167 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in (n) around 0 3.167 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.167 * [taylor]: Taking taylor expansion of 2.0 in n 3.167 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.167 * [taylor]: Taking taylor expansion of PI in n 3.167 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.167 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.167 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.167 * [taylor]: Taking taylor expansion of -1 in n 3.167 * [taylor]: Taking taylor expansion of n in n 3.168 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.168 * [taylor]: Taking taylor expansion of 2.0 in n 3.168 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.168 * [taylor]: Taking taylor expansion of PI in n 3.168 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.168 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.168 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.168 * [taylor]: Taking taylor expansion of -1 in n 3.168 * [taylor]: Taking taylor expansion of n in n 3.194 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 3.195 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 3.195 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.195 * [taylor]: Taking taylor expansion of 2.0 in n 3.195 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.195 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.195 * [taylor]: Taking taylor expansion of n in n 3.196 * [taylor]: Taking taylor expansion of PI in n 3.196 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.196 * [taylor]: Taking taylor expansion of 2.0 in n 3.196 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.196 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.196 * [taylor]: Taking taylor expansion of n in n 3.197 * [taylor]: Taking taylor expansion of PI in n 3.218 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 3.218 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.218 * [taylor]: Taking taylor expansion of 2.0 in n 3.218 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.218 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.218 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.218 * [taylor]: Taking taylor expansion of n in n 3.219 * [taylor]: Taking taylor expansion of PI in n 3.219 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.219 * [taylor]: Taking taylor expansion of 2.0 in n 3.219 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.219 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.219 * [taylor]: Taking taylor expansion of n in n 3.221 * [taylor]: Taking taylor expansion of PI in n 3.242 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 3.242 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.242 * [taylor]: Taking taylor expansion of 2.0 in n 3.242 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.242 * [taylor]: Taking taylor expansion of PI in n 3.242 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.242 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.242 * [taylor]: Taking taylor expansion of -1 in n 3.242 * [taylor]: Taking taylor expansion of n in n 3.244 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.244 * [taylor]: Taking taylor expansion of 2.0 in n 3.244 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.244 * [taylor]: Taking taylor expansion of PI in n 3.244 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.244 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.244 * [taylor]: Taking taylor expansion of -1 in n 3.244 * [taylor]: Taking taylor expansion of n in n 3.265 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.265 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.265 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.265 * [taylor]: Taking taylor expansion of 1.0 in k 3.265 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.265 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.265 * [taylor]: Taking taylor expansion of k in k 3.266 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.266 * [taylor]: Taking taylor expansion of 1.0 in k 3.266 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.266 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.266 * [taylor]: Taking taylor expansion of k in k 3.283 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.283 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.283 * [taylor]: Taking taylor expansion of 1.0 in k 3.283 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.283 * [taylor]: Taking taylor expansion of k in k 3.284 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.284 * [taylor]: Taking taylor expansion of 1.0 in k 3.284 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.284 * [taylor]: Taking taylor expansion of k in k 3.295 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.295 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.295 * [taylor]: Taking taylor expansion of 1.0 in k 3.295 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.295 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.295 * [taylor]: Taking taylor expansion of -1 in k 3.295 * [taylor]: Taking taylor expansion of k in k 3.297 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.297 * [taylor]: Taking taylor expansion of 1.0 in k 3.297 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.297 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.297 * [taylor]: Taking taylor expansion of -1 in k 3.297 * [taylor]: Taking taylor expansion of k in k 3.308 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.309 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.309 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.309 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.309 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.309 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.309 * [taylor]: Taking taylor expansion of 0.5 in k 3.309 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.309 * [taylor]: Taking taylor expansion of 1.0 in k 3.309 * [taylor]: Taking taylor expansion of k in k 3.309 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.309 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.309 * [taylor]: Taking taylor expansion of 2.0 in k 3.309 * [taylor]: Taking taylor expansion of (* n PI) in k 3.309 * [taylor]: Taking taylor expansion of n in k 3.309 * [taylor]: Taking taylor expansion of PI in k 3.310 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.310 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.310 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.310 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.310 * [taylor]: Taking taylor expansion of 0.5 in n 3.310 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.310 * [taylor]: Taking taylor expansion of 1.0 in n 3.310 * [taylor]: Taking taylor expansion of k in n 3.310 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.310 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.310 * [taylor]: Taking taylor expansion of 2.0 in n 3.310 * [taylor]: Taking taylor expansion of (* n PI) in n 3.310 * [taylor]: Taking taylor expansion of n in n 3.310 * [taylor]: Taking taylor expansion of PI in n 3.315 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.316 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.316 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.316 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.316 * [taylor]: Taking taylor expansion of 0.5 in n 3.316 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.316 * [taylor]: Taking taylor expansion of 1.0 in n 3.316 * [taylor]: Taking taylor expansion of k in n 3.316 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.316 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.316 * [taylor]: Taking taylor expansion of 2.0 in n 3.316 * [taylor]: Taking taylor expansion of (* n PI) in n 3.316 * [taylor]: Taking taylor expansion of n in n 3.316 * [taylor]: Taking taylor expansion of PI in n 3.321 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.321 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.321 * [taylor]: Taking taylor expansion of 0.5 in k 3.321 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.321 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.321 * [taylor]: Taking taylor expansion of 1.0 in k 3.321 * [taylor]: Taking taylor expansion of k in k 3.321 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.321 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.321 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.321 * [taylor]: Taking taylor expansion of 2.0 in k 3.321 * [taylor]: Taking taylor expansion of PI in k 3.322 * [taylor]: Taking taylor expansion of (log n) in k 3.322 * [taylor]: Taking taylor expansion of n in k 3.332 * [taylor]: Taking taylor expansion of 0 in k 3.347 * [taylor]: Taking taylor expansion of 0 in k 3.372 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.372 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.372 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.372 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.372 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.372 * [taylor]: Taking taylor expansion of 0.5 in k 3.372 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.372 * [taylor]: Taking taylor expansion of 1.0 in k 3.372 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.372 * [taylor]: Taking taylor expansion of k in k 3.372 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.372 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.372 * [taylor]: Taking taylor expansion of 2.0 in k 3.372 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.372 * [taylor]: Taking taylor expansion of PI in k 3.372 * [taylor]: Taking taylor expansion of n in k 3.373 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.373 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.373 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.373 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.373 * [taylor]: Taking taylor expansion of 0.5 in n 3.373 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.373 * [taylor]: Taking taylor expansion of 1.0 in n 3.373 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.373 * [taylor]: Taking taylor expansion of k in n 3.373 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.374 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.374 * [taylor]: Taking taylor expansion of 2.0 in n 3.374 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.374 * [taylor]: Taking taylor expansion of PI in n 3.374 * [taylor]: Taking taylor expansion of n in n 3.377 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.377 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.377 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.377 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.377 * [taylor]: Taking taylor expansion of 0.5 in n 3.377 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.377 * [taylor]: Taking taylor expansion of 1.0 in n 3.377 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.377 * [taylor]: Taking taylor expansion of k in n 3.377 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.377 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.377 * [taylor]: Taking taylor expansion of 2.0 in n 3.377 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.377 * [taylor]: Taking taylor expansion of PI in n 3.377 * [taylor]: Taking taylor expansion of n in n 3.381 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.381 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.381 * [taylor]: Taking taylor expansion of 0.5 in k 3.381 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.381 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.381 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.381 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.381 * [taylor]: Taking taylor expansion of 2.0 in k 3.381 * [taylor]: Taking taylor expansion of PI in k 3.382 * [taylor]: Taking taylor expansion of (log n) in k 3.382 * [taylor]: Taking taylor expansion of n in k 3.382 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.382 * [taylor]: Taking taylor expansion of 1.0 in k 3.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.383 * [taylor]: Taking taylor expansion of k in k 3.392 * [taylor]: Taking taylor expansion of 0 in k 3.400 * [taylor]: Taking taylor expansion of 0 in k 3.409 * [taylor]: Taking taylor expansion of 0 in k 3.410 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.410 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 3.410 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 3.410 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.410 * [taylor]: Taking taylor expansion of 0.5 in k 3.410 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.410 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.410 * [taylor]: Taking taylor expansion of k in k 3.410 * [taylor]: Taking taylor expansion of 1.0 in k 3.410 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 3.410 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 3.410 * [taylor]: Taking taylor expansion of 2.0 in k 3.410 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 3.410 * [taylor]: Taking taylor expansion of PI in k 3.410 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 3.411 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 3.411 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.411 * [taylor]: Taking taylor expansion of -1 in k 3.411 * [taylor]: Taking taylor expansion of n in k 3.412 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.412 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 3.412 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 3.412 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.412 * [taylor]: Taking taylor expansion of 0.5 in n 3.412 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.412 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.412 * [taylor]: Taking taylor expansion of k in n 3.412 * [taylor]: Taking taylor expansion of 1.0 in n 3.412 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 3.412 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.412 * [taylor]: Taking taylor expansion of 2.0 in n 3.412 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.412 * [taylor]: Taking taylor expansion of PI in n 3.412 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.412 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.412 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.412 * [taylor]: Taking taylor expansion of -1 in n 3.412 * [taylor]: Taking taylor expansion of n in n 3.417 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.417 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 3.417 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 3.417 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.417 * [taylor]: Taking taylor expansion of 0.5 in n 3.417 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.417 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.417 * [taylor]: Taking taylor expansion of k in n 3.417 * [taylor]: Taking taylor expansion of 1.0 in n 3.417 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 3.417 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.417 * [taylor]: Taking taylor expansion of 2.0 in n 3.417 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.417 * [taylor]: Taking taylor expansion of PI in n 3.417 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.417 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.417 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.417 * [taylor]: Taking taylor expansion of -1 in n 3.417 * [taylor]: Taking taylor expansion of n in n 3.422 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 3.422 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 3.422 * [taylor]: Taking taylor expansion of 0.5 in k 3.422 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 3.422 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.422 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.422 * [taylor]: Taking taylor expansion of k in k 3.422 * [taylor]: Taking taylor expansion of 1.0 in k 3.422 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 3.422 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 3.422 * [taylor]: Taking taylor expansion of +nan.0 in k 3.422 * [taylor]: Taking taylor expansion of PI in k 3.441 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* +nan.0 (/ 1 k)) (- +nan.0)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))))) in k 3.441 * [taylor]: Taking taylor expansion of -1 in k 3.441 * [taylor]: Taking taylor expansion of (* (+ (* +nan.0 (/ 1 k)) (- +nan.0)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))))) in k 3.441 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 k)) (- +nan.0)) in k 3.441 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 k)) in k 3.441 * [taylor]: Taking taylor expansion of +nan.0 in k 3.441 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.441 * [taylor]: Taking taylor expansion of k in k 3.442 * [taylor]: Taking taylor expansion of (- +nan.0) in k 3.442 * [taylor]: Taking taylor expansion of +nan.0 in k 3.442 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 3.442 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 3.442 * [taylor]: Taking taylor expansion of 0.5 in k 3.442 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 3.442 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.442 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.442 * [taylor]: Taking taylor expansion of k in k 3.442 * [taylor]: Taking taylor expansion of 1.0 in k 3.442 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 3.442 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 3.442 * [taylor]: Taking taylor expansion of +nan.0 in k 3.442 * [taylor]: Taking taylor expansion of PI in k 3.482 * [taylor]: Taking taylor expansion of (* -1 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))) in k 3.482 * [taylor]: Taking taylor expansion of -1 in k 3.482 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) in k 3.482 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 3.482 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 3.482 * [taylor]: Taking taylor expansion of 0.5 in k 3.482 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 3.482 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.482 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.482 * [taylor]: Taking taylor expansion of k in k 3.482 * [taylor]: Taking taylor expansion of 1.0 in k 3.482 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 3.482 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 3.482 * [taylor]: Taking taylor expansion of +nan.0 in k 3.482 * [taylor]: Taking taylor expansion of PI in k 3.486 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))) in k 3.486 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow k 2))) in k 3.486 * [taylor]: Taking taylor expansion of +nan.0 in k 3.486 * [taylor]: Taking taylor expansion of (/ 1 (pow k 2)) in k 3.486 * [taylor]: Taking taylor expansion of (pow k 2) in k 3.486 * [taylor]: Taking taylor expansion of k in k 3.487 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))) in k 3.487 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 k)) (- +nan.0)) in k 3.487 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 k)) in k 3.487 * [taylor]: Taking taylor expansion of +nan.0 in k 3.487 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.487 * [taylor]: Taking taylor expansion of k in k 3.487 * [taylor]: Taking taylor expansion of (- +nan.0) in k 3.487 * [taylor]: Taking taylor expansion of +nan.0 in k 3.503 * * * [progress]: simplifying candidates 3.505 * [simplify]: Simplifying using # : (expm1 (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (log1p (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (exp (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (* (cbrt n) (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt 1)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) 1) (* (sqrt n) (sqrt n)) (expm1 (* (* 2.0 PI) (sqrt n))) (log1p (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (+ (log (* 2.0 PI)) (log (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (sqrt (* (cbrt n) (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) 1) (* PI (sqrt n)) (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 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 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) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ k 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) 1) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (- 1.0 k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (* (pow n 2) PI)) (- (+ (* +nan.0 (* n PI)) (- (* +nan.0 (* (pow n 3) PI))))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (- (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (pow n 2))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n))))) 3.513 * * [simplify]: iteration 0 : 755 enodes (cost 1027 ) 3.526 * * [simplify]: iteration 1 : 3088 enodes (cost 876 ) 3.578 * * [simplify]: iteration 2 : 5001 enodes (cost 848 ) 3.583 * [simplify]: Simplified to: (expm1 (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (log1p (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (pow (exp (* 2.0 PI)) n) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (* (sqrt n) (fabs (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) n (expm1 (* (* 2.0 PI) (sqrt n))) (log1p (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt n)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 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 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (- 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) (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) (* 2 (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ k 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (/ (- 1.0 k) 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (- 1.0 k)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (sqrt 2.0)) 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (+ (sqrt 1.0) (sqrt k)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (sqrt 2.0)) 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 3) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt 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)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) (fma (- (* +nan.0 (pow n 2))) PI (* +nan.0 (- (* n PI) (* (pow n 3) PI)))) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (fma 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (+ (- (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (pow n 2)))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n))) 3.584 * * * [progress]: adding candidates to table 3.887 * * [progress]: iteration 4 / 4 3.887 * * * [progress]: picking best candidate 3.904 * * * * [pick]: Picked # 3.905 * * * [progress]: localizing error 3.924 * * * [progress]: generating rewritten candidates 3.924 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.936 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 3.950 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.954 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 3.964 * * * [progress]: generating series expansions 3.964 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.965 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in (n k) around 0 3.965 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k 3.965 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k 3.965 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k 3.965 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 3.965 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.965 * [taylor]: Taking taylor expansion of k in k 3.967 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.967 * [taylor]: Taking taylor expansion of 1.0 in k 3.967 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.967 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.967 * [taylor]: Taking taylor expansion of 2.0 in k 3.967 * [taylor]: Taking taylor expansion of (* n PI) in k 3.967 * [taylor]: Taking taylor expansion of n in k 3.967 * [taylor]: Taking taylor expansion of PI in k 3.969 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 3.969 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 3.969 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 3.969 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 3.969 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.969 * [taylor]: Taking taylor expansion of k in n 3.969 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.969 * [taylor]: Taking taylor expansion of 1.0 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 * [taylor]: Taking taylor expansion of (* n PI) in n 3.970 * [taylor]: Taking taylor expansion of n in n 3.970 * [taylor]: Taking taylor expansion of PI in n 3.976 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 3.976 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 3.976 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 3.976 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 3.976 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.976 * [taylor]: Taking taylor expansion of k in n 3.976 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.976 * [taylor]: Taking taylor expansion of 1.0 in n 3.977 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.977 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.977 * [taylor]: Taking taylor expansion of 2.0 in n 3.977 * [taylor]: Taking taylor expansion of (* n PI) in n 3.977 * [taylor]: Taking taylor expansion of n in n 3.977 * [taylor]: Taking taylor expansion of PI in n 3.983 * [taylor]: Taking taylor expansion of (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) in k 3.983 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))) in k 3.983 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.983 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.983 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.983 * [taylor]: Taking taylor expansion of 2.0 in k 3.983 * [taylor]: Taking taylor expansion of PI in k 3.984 * [taylor]: Taking taylor expansion of (log n) in k 3.984 * [taylor]: Taking taylor expansion of n in k 3.984 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 3.984 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.984 * [taylor]: Taking taylor expansion of k in k 3.985 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.985 * [taylor]: Taking taylor expansion of 1.0 in k 3.995 * [taylor]: Taking taylor expansion of 0 in k 4.010 * [taylor]: Taking taylor expansion of 0 in k 4.041 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in (n k) around 0 4.041 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 4.041 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.041 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.041 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 4.041 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.041 * [taylor]: Taking taylor expansion of 1.0 in k 4.042 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.042 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.042 * [taylor]: Taking taylor expansion of k in k 4.043 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.043 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.043 * [taylor]: Taking taylor expansion of 2.0 in k 4.043 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.043 * [taylor]: Taking taylor expansion of PI in k 4.043 * [taylor]: Taking taylor expansion of n in k 4.046 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 4.046 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.046 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.046 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 4.046 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.046 * [taylor]: Taking taylor expansion of 1.0 in n 4.047 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.047 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.047 * [taylor]: Taking taylor expansion of k in n 4.047 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.047 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.047 * [taylor]: Taking taylor expansion of 2.0 in n 4.047 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.047 * [taylor]: Taking taylor expansion of PI in n 4.047 * [taylor]: Taking taylor expansion of n in n 4.052 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 4.052 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.052 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.052 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 4.052 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.052 * [taylor]: Taking taylor expansion of 1.0 in n 4.052 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.052 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.052 * [taylor]: Taking taylor expansion of k in n 4.053 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.053 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.053 * [taylor]: Taking taylor expansion of 2.0 in n 4.053 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.053 * [taylor]: Taking taylor expansion of PI in n 4.053 * [taylor]: Taking taylor expansion of n in n 4.057 * [taylor]: Taking taylor expansion of (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 4.057 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 4.057 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.057 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.057 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.057 * [taylor]: Taking taylor expansion of 2.0 in k 4.057 * [taylor]: Taking taylor expansion of PI in k 4.058 * [taylor]: Taking taylor expansion of (log n) in k 4.058 * [taylor]: Taking taylor expansion of n in k 4.058 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 4.058 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.058 * [taylor]: Taking taylor expansion of 1.0 in k 4.059 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.059 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.059 * [taylor]: Taking taylor expansion of k in k 4.077 * [taylor]: Taking taylor expansion of 0 in k 4.100 * [taylor]: Taking taylor expansion of 0 in k 4.143 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in (n k) around 0 4.143 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k 4.143 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k 4.143 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k 4.143 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 4.143 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.143 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.143 * [taylor]: Taking taylor expansion of -1 in k 4.143 * [taylor]: Taking taylor expansion of k in k 4.144 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.144 * [taylor]: Taking taylor expansion of 1.0 in k 4.145 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.145 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.145 * [taylor]: Taking taylor expansion of -2.0 in k 4.145 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.145 * [taylor]: Taking taylor expansion of PI in k 4.145 * [taylor]: Taking taylor expansion of n in k 4.148 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 4.148 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 4.148 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 4.148 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 4.148 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.148 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.148 * [taylor]: Taking taylor expansion of -1 in n 4.148 * [taylor]: Taking taylor expansion of k in n 4.148 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.148 * [taylor]: Taking taylor expansion of 1.0 in n 4.149 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.149 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.149 * [taylor]: Taking taylor expansion of -2.0 in n 4.149 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.149 * [taylor]: Taking taylor expansion of PI in n 4.149 * [taylor]: Taking taylor expansion of n in n 4.153 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 4.153 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 4.153 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 4.153 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 4.153 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.154 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.154 * [taylor]: Taking taylor expansion of -1 in n 4.154 * [taylor]: Taking taylor expansion of k in n 4.154 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.154 * [taylor]: Taking taylor expansion of 1.0 in n 4.154 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.154 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.154 * [taylor]: Taking taylor expansion of -2.0 in n 4.154 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.154 * [taylor]: Taking taylor expansion of PI in n 4.154 * [taylor]: Taking taylor expansion of n in n 4.159 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) in k 4.159 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) in k 4.159 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 4.159 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.159 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.159 * [taylor]: Taking taylor expansion of -1 in k 4.159 * [taylor]: Taking taylor expansion of k in k 4.160 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.160 * [taylor]: Taking taylor expansion of 1.0 in k 4.161 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.161 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.161 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.161 * [taylor]: Taking taylor expansion of -2.0 in k 4.161 * [taylor]: Taking taylor expansion of PI in k 4.162 * [taylor]: Taking taylor expansion of (log n) in k 4.162 * [taylor]: Taking taylor expansion of n in k 4.179 * [taylor]: Taking taylor expansion of 0 in k 4.209 * [taylor]: Taking taylor expansion of 0 in k 4.250 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 4.252 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in (n k) around 0 4.252 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in k 4.252 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in k 4.252 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in k 4.252 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in k 4.252 * [taylor]: Taking taylor expansion of 0.5 in k 4.252 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k 4.252 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.252 * [taylor]: Taking taylor expansion of 1.0 in k 4.252 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.252 * [taylor]: Taking taylor expansion of k in k 4.254 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in k 4.254 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k 4.254 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k 4.254 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k 4.254 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 4.254 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.254 * [taylor]: Taking taylor expansion of k in k 4.255 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.255 * [taylor]: Taking taylor expansion of 1.0 in k 4.255 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.255 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.255 * [taylor]: Taking taylor expansion of 2.0 in k 4.255 * [taylor]: Taking taylor expansion of (* n PI) in k 4.255 * [taylor]: Taking taylor expansion of n in k 4.255 * [taylor]: Taking taylor expansion of PI in k 4.260 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n 4.260 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n 4.260 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n 4.260 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n 4.260 * [taylor]: Taking taylor expansion of 0.5 in n 4.260 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n 4.260 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.260 * [taylor]: Taking taylor expansion of 1.0 in n 4.261 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.261 * [taylor]: Taking taylor expansion of k in n 4.261 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n 4.261 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 4.261 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 4.261 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 4.261 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 4.261 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.261 * [taylor]: Taking taylor expansion of k in n 4.261 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.261 * [taylor]: Taking taylor expansion of 1.0 in n 4.262 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.262 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.262 * [taylor]: Taking taylor expansion of 2.0 in n 4.262 * [taylor]: Taking taylor expansion of (* n PI) in n 4.262 * [taylor]: Taking taylor expansion of n in n 4.262 * [taylor]: Taking taylor expansion of PI in n 4.272 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n 4.272 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n 4.272 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n 4.272 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n 4.272 * [taylor]: Taking taylor expansion of 0.5 in n 4.272 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n 4.272 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.272 * [taylor]: Taking taylor expansion of 1.0 in n 4.273 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.273 * [taylor]: Taking taylor expansion of k in n 4.273 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n 4.273 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 4.273 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 4.273 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 4.273 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 4.273 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.273 * [taylor]: Taking taylor expansion of k in n 4.273 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.273 * [taylor]: Taking taylor expansion of 1.0 in n 4.274 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.274 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.274 * [taylor]: Taking taylor expansion of 2.0 in n 4.274 * [taylor]: Taking taylor expansion of (* n PI) in n 4.274 * [taylor]: Taking taylor expansion of n in n 4.274 * [taylor]: Taking taylor expansion of PI in n 4.290 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) in k 4.290 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))) in k 4.290 * [taylor]: Taking taylor expansion of 0.5 in k 4.290 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))) in k 4.290 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.290 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.290 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.290 * [taylor]: Taking taylor expansion of 2.0 in k 4.290 * [taylor]: Taking taylor expansion of PI in k 4.291 * [taylor]: Taking taylor expansion of (log n) in k 4.291 * [taylor]: Taking taylor expansion of n in k 4.291 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))) in k 4.291 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 4.291 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.291 * [taylor]: Taking taylor expansion of k in k 4.292 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.292 * [taylor]: Taking taylor expansion of 1.0 in k 4.293 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k 4.293 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.293 * [taylor]: Taking taylor expansion of 1.0 in k 4.293 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.293 * [taylor]: Taking taylor expansion of k in k 4.313 * [taylor]: Taking taylor expansion of 0 in k 4.349 * [taylor]: Taking taylor expansion of 0 in k 4.413 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in (n k) around 0 4.413 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in k 4.413 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k 4.413 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k 4.413 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in k 4.413 * [taylor]: Taking taylor expansion of 0.5 in k 4.413 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k 4.413 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.413 * [taylor]: Taking taylor expansion of 1.0 in k 4.414 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.414 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.414 * [taylor]: Taking taylor expansion of k in k 4.415 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 4.415 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 4.415 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.415 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.415 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 4.415 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.415 * [taylor]: Taking taylor expansion of 1.0 in k 4.416 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.416 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.416 * [taylor]: Taking taylor expansion of k in k 4.417 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.418 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.418 * [taylor]: Taking taylor expansion of 2.0 in k 4.418 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.418 * [taylor]: Taking taylor expansion of PI in k 4.418 * [taylor]: Taking taylor expansion of n in k 4.434 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n 4.434 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n 4.434 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n 4.434 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n 4.434 * [taylor]: Taking taylor expansion of 0.5 in n 4.434 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n 4.434 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.434 * [taylor]: Taking taylor expansion of 1.0 in n 4.435 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.435 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.435 * [taylor]: Taking taylor expansion of k in n 4.435 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n 4.435 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 4.435 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.435 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.435 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 4.435 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.435 * [taylor]: Taking taylor expansion of 1.0 in n 4.436 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.436 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.436 * [taylor]: Taking taylor expansion of k in n 4.436 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.436 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.436 * [taylor]: Taking taylor expansion of 2.0 in n 4.436 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.436 * [taylor]: Taking taylor expansion of PI in n 4.436 * [taylor]: Taking taylor expansion of n in n 4.445 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n 4.445 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n 4.445 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n 4.445 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n 4.445 * [taylor]: Taking taylor expansion of 0.5 in n 4.445 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n 4.445 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.445 * [taylor]: Taking taylor expansion of 1.0 in n 4.446 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.446 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.446 * [taylor]: Taking taylor expansion of k in n 4.446 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n 4.446 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 4.446 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.446 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.446 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 4.446 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.446 * [taylor]: Taking taylor expansion of 1.0 in n 4.447 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.447 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.447 * [taylor]: Taking taylor expansion of k in n 4.447 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.447 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.447 * [taylor]: Taking taylor expansion of 2.0 in n 4.447 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.447 * [taylor]: Taking taylor expansion of PI in n 4.447 * [taylor]: Taking taylor expansion of n in n 4.461 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k 4.461 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k 4.461 * [taylor]: Taking taylor expansion of 0.5 in k 4.461 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 4.461 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.461 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.461 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.461 * [taylor]: Taking taylor expansion of 2.0 in k 4.461 * [taylor]: Taking taylor expansion of PI in k 4.462 * [taylor]: Taking taylor expansion of (log n) in k 4.462 * [taylor]: Taking taylor expansion of n in k 4.462 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 4.462 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k 4.462 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.462 * [taylor]: Taking taylor expansion of 1.0 in k 4.463 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.463 * [taylor]: Taking taylor expansion of k in k 4.464 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 4.464 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.464 * [taylor]: Taking taylor expansion of 1.0 in k 4.465 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.465 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.465 * [taylor]: Taking taylor expansion of k in k 4.521 * [taylor]: Taking taylor expansion of 0 in k 4.596 * [taylor]: Taking taylor expansion of 0 in k 4.735 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in (n k) around 0 4.735 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in k 4.735 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in k 4.735 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in k 4.735 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in k 4.735 * [taylor]: Taking taylor expansion of 0.5 in k 4.735 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k 4.735 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.735 * [taylor]: Taking taylor expansion of 1.0 in k 4.736 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.736 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.736 * [taylor]: Taking taylor expansion of -1 in k 4.736 * [taylor]: Taking taylor expansion of k in k 4.737 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in k 4.737 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k 4.737 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k 4.737 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k 4.737 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 4.737 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.737 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.737 * [taylor]: Taking taylor expansion of -1 in k 4.737 * [taylor]: Taking taylor expansion of k in k 4.739 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.739 * [taylor]: Taking taylor expansion of 1.0 in k 4.739 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.739 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.739 * [taylor]: Taking taylor expansion of -2.0 in k 4.739 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.739 * [taylor]: Taking taylor expansion of PI in k 4.739 * [taylor]: Taking taylor expansion of n in k 4.756 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n 4.756 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n 4.756 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n 4.756 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n 4.756 * [taylor]: Taking taylor expansion of 0.5 in n 4.756 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n 4.756 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.756 * [taylor]: Taking taylor expansion of 1.0 in n 4.757 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.757 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.757 * [taylor]: Taking taylor expansion of -1 in n 4.757 * [taylor]: Taking taylor expansion of k in n 4.757 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n 4.757 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 4.757 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 4.757 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 4.757 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 4.757 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.757 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.757 * [taylor]: Taking taylor expansion of -1 in n 4.757 * [taylor]: Taking taylor expansion of k in n 4.757 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.757 * [taylor]: Taking taylor expansion of 1.0 in n 4.758 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.758 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.758 * [taylor]: Taking taylor expansion of -2.0 in n 4.758 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.758 * [taylor]: Taking taylor expansion of PI in n 4.758 * [taylor]: Taking taylor expansion of n in n 4.766 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n 4.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n 4.766 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n 4.766 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n 4.767 * [taylor]: Taking taylor expansion of 0.5 in n 4.767 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n 4.767 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.767 * [taylor]: Taking taylor expansion of 1.0 in n 4.767 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.767 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.767 * [taylor]: Taking taylor expansion of -1 in n 4.767 * [taylor]: Taking taylor expansion of k in n 4.767 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n 4.767 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 4.768 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 4.768 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 4.768 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 4.768 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.768 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.768 * [taylor]: Taking taylor expansion of -1 in n 4.768 * [taylor]: Taking taylor expansion of k in n 4.768 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.768 * [taylor]: Taking taylor expansion of 1.0 in n 4.768 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.768 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.768 * [taylor]: Taking taylor expansion of -2.0 in n 4.768 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.769 * [taylor]: Taking taylor expansion of PI in n 4.769 * [taylor]: Taking taylor expansion of n in n 4.777 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) in k 4.777 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))) in k 4.777 * [taylor]: Taking taylor expansion of 0.5 in k 4.777 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))) in k 4.777 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 4.777 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.777 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.777 * [taylor]: Taking taylor expansion of -1 in k 4.777 * [taylor]: Taking taylor expansion of k in k 4.778 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.778 * [taylor]: Taking taylor expansion of 1.0 in k 4.779 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))) in k 4.779 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.779 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.779 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.779 * [taylor]: Taking taylor expansion of -2.0 in k 4.779 * [taylor]: Taking taylor expansion of PI in k 4.786 * [taylor]: Taking taylor expansion of (log n) in k 4.786 * [taylor]: Taking taylor expansion of n in k 4.786 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k 4.786 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.786 * [taylor]: Taking taylor expansion of 1.0 in k 4.786 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.786 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.786 * [taylor]: Taking taylor expansion of -1 in k 4.787 * [taylor]: Taking taylor expansion of k in k 4.846 * [taylor]: Taking taylor expansion of 0 in k 4.923 * [taylor]: Taking taylor expansion of 0 in k 5.069 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 5.069 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.069 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.069 * [taylor]: Taking taylor expansion of 1.0 in k 5.069 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.069 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.069 * [taylor]: Taking taylor expansion of k in k 5.071 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.071 * [taylor]: Taking taylor expansion of 1.0 in k 5.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.071 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.071 * [taylor]: Taking taylor expansion of k in k 5.082 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.082 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.082 * [taylor]: Taking taylor expansion of 1.0 in k 5.082 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.082 * [taylor]: Taking taylor expansion of k in k 5.083 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.083 * [taylor]: Taking taylor expansion of 1.0 in k 5.083 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.083 * [taylor]: Taking taylor expansion of k in k 5.093 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.093 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.093 * [taylor]: Taking taylor expansion of 1.0 in k 5.093 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.093 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.093 * [taylor]: Taking taylor expansion of -1 in k 5.093 * [taylor]: Taking taylor expansion of k in k 5.095 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.095 * [taylor]: Taking taylor expansion of 1.0 in k 5.095 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.095 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.095 * [taylor]: Taking taylor expansion of -1 in k 5.095 * [taylor]: Taking taylor expansion of k in k 5.112 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 5.112 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.112 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.112 * [taylor]: Taking taylor expansion of 2.0 in n 5.112 * [taylor]: Taking taylor expansion of (* n PI) in n 5.112 * [taylor]: Taking taylor expansion of n in n 5.112 * [taylor]: Taking taylor expansion of PI in n 5.112 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.112 * [taylor]: Taking taylor expansion of 2.0 in n 5.112 * [taylor]: Taking taylor expansion of (* n PI) in n 5.112 * [taylor]: Taking taylor expansion of n in n 5.112 * [taylor]: Taking taylor expansion of PI in n 5.125 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.125 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.125 * [taylor]: Taking taylor expansion of 2.0 in n 5.125 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.125 * [taylor]: Taking taylor expansion of PI in n 5.125 * [taylor]: Taking taylor expansion of n in n 5.125 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.125 * [taylor]: Taking taylor expansion of 2.0 in n 5.125 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.125 * [taylor]: Taking taylor expansion of PI in n 5.125 * [taylor]: Taking taylor expansion of n in n 5.134 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.134 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.134 * [taylor]: Taking taylor expansion of -2.0 in n 5.134 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.134 * [taylor]: Taking taylor expansion of PI in n 5.134 * [taylor]: Taking taylor expansion of n in n 5.134 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.134 * [taylor]: Taking taylor expansion of -2.0 in n 5.134 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.134 * [taylor]: Taking taylor expansion of PI in n 5.134 * [taylor]: Taking taylor expansion of n in n 5.143 * * * [progress]: simplifying candidates 5.146 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (log1p (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (+ (log (* 2.0 PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (+ (sqrt 1.0) (sqrt k)) 1)) (cbrt (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (pow (* (* 2.0 PI) n) (sqrt (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 1))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (sqrt 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 1))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (exp (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (* (* (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (expm1 (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (log1p (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 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1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (/ -1 n)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n)))) (pow k 2)))))))))))))))))))))))))))))))))))) (+ (- (* +nan.0 k)) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- (* +nan.0 (/ 1 (pow k 3)))))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- +nan.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 5.213 * * * [progress]: adding candidates to table 5.735 * [progress]: [Phase 3 of 3] Extracting. 5.735 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 5.737 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.737 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # #) 5.780 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #) 5.821 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # #) 5.860 * * * [regime]: Found split indices: #