0.765 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.311 * * * [progress]: [2/2] Setting up program. 0.314 * [progress]: [Phase 2 of 3] Improving. 0.319 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.320 * * [simplify]: Extracting # 0 : cost 0 0.320 * * [simplify]: Extracting # 1 : cost 0 0.320 * * [simplify]: Extracting # 2 : cost 0 0.320 * * [simplify]: Extracting # 3 : cost 0 0.320 * * [simplify]: Extracting # 4 : cost 0 0.320 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.324 * * [simplify]: Extracting # 0 : cost 0 0.324 * * [simplify]: Extracting # 1 : cost 0 0.324 * * [simplify]: Extracting # 2 : cost 0 0.324 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.326 * * [simplify]: Extracting # 0 : cost 0 0.326 * * [simplify]: iteration 2 : 16 enodes (cost 8 ) 0.328 * * [simplify]: Extracting # 0 : cost 0 0.328 * * [simplify]: Extracting # 1 : cost 0 0.328 * * [simplify]: Extracting # 2 : cost 0 0.328 * * [simplify]: iteration 3 : 20 enodes (cost 8 ) 0.331 * * [simplify]: Extracting # 0 : cost 0 0.331 * * [simplify]: Extracting # 1 : cost 0 0.331 * * [simplify]: Extracting # 2 : cost 0 0.331 * * [simplify]: iteration 4 : 26 enodes (cost 8 ) 0.335 * * [simplify]: Extracting # 0 : cost 0 0.335 * * [simplify]: Extracting # 1 : cost 0 0.335 * * [simplify]: Extracting # 2 : cost 0 0.335 * * [simplify]: iteration 5 : 29 enodes (cost 8 ) 0.339 * * [simplify]: Extracting # 0 : cost 0 0.339 * * [simplify]: iteration 6 : 31 enodes (cost 8 ) 0.343 * * [simplify]: Extracting # 0 : cost 0 0.343 * * [simplify]: iteration done: 31 enodes (cost 8 ) 0.343 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.366 * * [progress]: iteration 1 / 4 0.366 * * * [progress]: picking best candidate 0.368 * * * * [pick]: Picked # 0.368 * * * [progress]: localizing error 0.377 * * * [progress]: generating rewritten candidates 0.377 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.416 * * * [progress]: generating series expansions 0.416 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.421 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.421 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.422 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.422 * [taylor]: Taking taylor expansion of -1 in n 0.422 * [backup-simplify]: Simplify -1 into -1 0.422 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.422 * [taylor]: Taking taylor expansion of (+ n f) in n 0.422 * [taylor]: Taking taylor expansion of n in n 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [taylor]: Taking taylor expansion of f in n 0.422 * [backup-simplify]: Simplify f into f 0.422 * [taylor]: Taking taylor expansion of (- f n) in n 0.422 * [taylor]: Taking taylor expansion of f in n 0.422 * [backup-simplify]: Simplify f into f 0.422 * [taylor]: Taking taylor expansion of n in n 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (+ 0 f) into f 0.423 * [backup-simplify]: Simplify (- 0) into 0 0.423 * [backup-simplify]: Simplify (+ f 0) into f 0.423 * [backup-simplify]: Simplify (/ f f) into 1 0.423 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.423 * [taylor]: Taking taylor expansion of -1 in f 0.423 * [backup-simplify]: Simplify -1 into -1 0.423 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.423 * [taylor]: Taking taylor expansion of (+ n f) in f 0.423 * [taylor]: Taking taylor expansion of n in f 0.423 * [backup-simplify]: Simplify n into n 0.423 * [taylor]: Taking taylor expansion of f in f 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of (- f n) in f 0.423 * [taylor]: Taking taylor expansion of f in f 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of n in f 0.424 * [backup-simplify]: Simplify n into n 0.424 * [backup-simplify]: Simplify (+ n 0) into n 0.424 * [backup-simplify]: Simplify (- n) into (- n) 0.424 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.424 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.424 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.424 * [taylor]: Taking taylor expansion of -1 in f 0.424 * [backup-simplify]: Simplify -1 into -1 0.424 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.424 * [taylor]: Taking taylor expansion of (+ n f) in f 0.424 * [taylor]: Taking taylor expansion of n in f 0.424 * [backup-simplify]: Simplify n into n 0.424 * [taylor]: Taking taylor expansion of f in f 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of (- f n) in f 0.424 * [taylor]: Taking taylor expansion of f in f 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of n in f 0.424 * [backup-simplify]: Simplify n into n 0.424 * [backup-simplify]: Simplify (+ n 0) into n 0.424 * [backup-simplify]: Simplify (- n) into (- n) 0.424 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.424 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.425 * [backup-simplify]: Simplify (* -1 -1) into 1 0.425 * [taylor]: Taking taylor expansion of 1 in n 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (+ 0 1) into 1 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify (+ 1 0) into 1 0.426 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.426 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.427 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.427 * [taylor]: Taking taylor expansion of 2 in n 0.427 * [backup-simplify]: Simplify 2 into 2 0.427 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.427 * [taylor]: Taking taylor expansion of n in n 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [backup-simplify]: Simplify (- 0) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.430 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.430 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.430 * [taylor]: Taking taylor expansion of 2 in n 0.430 * [backup-simplify]: Simplify 2 into 2 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.430 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.430 * [taylor]: Taking taylor expansion of n in n 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (* 1 1) into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (- 0) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 0.436 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 0.436 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.436 * [taylor]: Taking taylor expansion of 2 in n 0.436 * [backup-simplify]: Simplify 2 into 2 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.436 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.436 * [taylor]: Taking taylor expansion of n in n 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (* 1 1) into 1 0.436 * [backup-simplify]: Simplify (* 1 1) into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.442 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.442 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.442 * [taylor]: Taking taylor expansion of -1 in n 0.442 * [backup-simplify]: Simplify -1 into -1 0.442 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.442 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.442 * [taylor]: Taking taylor expansion of f in n 0.442 * [backup-simplify]: Simplify f into f 0.442 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.442 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.442 * [taylor]: Taking taylor expansion of n in n 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.442 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.442 * [taylor]: Taking taylor expansion of f in n 0.442 * [backup-simplify]: Simplify f into f 0.442 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.442 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.442 * [taylor]: Taking taylor expansion of n in n 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [backup-simplify]: Simplify (+ 0 1) into 1 0.443 * [backup-simplify]: Simplify (- 1) into -1 0.443 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.444 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.444 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.444 * [taylor]: Taking taylor expansion of -1 in f 0.444 * [backup-simplify]: Simplify -1 into -1 0.444 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.444 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.444 * [taylor]: Taking taylor expansion of f in f 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.444 * [taylor]: Taking taylor expansion of n in f 0.444 * [backup-simplify]: Simplify n into n 0.444 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.444 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.444 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.444 * [taylor]: Taking taylor expansion of f in f 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.444 * [taylor]: Taking taylor expansion of n in f 0.444 * [backup-simplify]: Simplify n into n 0.444 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.445 * [backup-simplify]: Simplify (+ 1 0) into 1 0.445 * [backup-simplify]: Simplify (+ 1 0) into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.445 * [taylor]: Taking taylor expansion of -1 in f 0.445 * [backup-simplify]: Simplify -1 into -1 0.445 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.445 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.445 * [taylor]: Taking taylor expansion of f in f 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.446 * [taylor]: Taking taylor expansion of n in f 0.446 * [backup-simplify]: Simplify n into n 0.446 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.446 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.446 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.446 * [taylor]: Taking taylor expansion of f in f 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.446 * [taylor]: Taking taylor expansion of n in f 0.446 * [backup-simplify]: Simplify n into n 0.446 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.446 * [backup-simplify]: Simplify (+ 1 0) into 1 0.447 * [backup-simplify]: Simplify (+ 1 0) into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [backup-simplify]: Simplify (* -1 1) into -1 0.447 * [taylor]: Taking taylor expansion of -1 in n 0.447 * [backup-simplify]: Simplify -1 into -1 0.447 * [backup-simplify]: Simplify -1 into -1 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.448 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.454 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.454 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.455 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.455 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.455 * [taylor]: Taking taylor expansion of 2 in n 0.455 * [backup-simplify]: Simplify 2 into 2 0.455 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.455 * [taylor]: Taking taylor expansion of n in n 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (/ 1 1) into 1 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.456 * [backup-simplify]: Simplify (- 0) into 0 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.459 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.459 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.459 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.459 * [taylor]: Taking taylor expansion of 2 in n 0.459 * [backup-simplify]: Simplify 2 into 2 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.459 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.459 * [taylor]: Taking taylor expansion of n in n 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify (* 1 1) into 1 0.460 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.464 * [backup-simplify]: Simplify (- 0) into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.466 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 0.468 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.468 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.468 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.468 * [taylor]: Taking taylor expansion of 2 in n 0.468 * [backup-simplify]: Simplify 2 into 2 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.468 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.468 * [taylor]: Taking taylor expansion of n in n 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.469 * [backup-simplify]: Simplify (* 1 1) into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (- 0) into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify -1 into -1 0.474 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.474 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.474 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.474 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.474 * [taylor]: Taking taylor expansion of f in n 0.474 * [backup-simplify]: Simplify f into f 0.474 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.474 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.474 * [taylor]: Taking taylor expansion of n in n 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.475 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.475 * [taylor]: Taking taylor expansion of n in n 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.475 * [taylor]: Taking taylor expansion of f in n 0.475 * [backup-simplify]: Simplify f into f 0.475 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.475 * [backup-simplify]: Simplify (+ 0 1) into 1 0.475 * [backup-simplify]: Simplify (+ 1 0) into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.476 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.476 * [taylor]: Taking taylor expansion of f in f 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.476 * [taylor]: Taking taylor expansion of n in f 0.476 * [backup-simplify]: Simplify n into n 0.476 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.476 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.476 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.476 * [taylor]: Taking taylor expansion of n in f 0.476 * [backup-simplify]: Simplify n into n 0.476 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.476 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.476 * [taylor]: Taking taylor expansion of f in f 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [backup-simplify]: Simplify (+ 1 0) into 1 0.477 * [backup-simplify]: Simplify (- 1) into -1 0.477 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.477 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.477 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.477 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.477 * [taylor]: Taking taylor expansion of f in f 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (/ 1 1) into 1 0.478 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.478 * [taylor]: Taking taylor expansion of n in f 0.478 * [backup-simplify]: Simplify n into n 0.478 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.478 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.478 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.478 * [taylor]: Taking taylor expansion of n in f 0.478 * [backup-simplify]: Simplify n into n 0.478 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.478 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.478 * [taylor]: Taking taylor expansion of f in f 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (/ 1 1) into 1 0.478 * [backup-simplify]: Simplify (+ 1 0) into 1 0.479 * [backup-simplify]: Simplify (- 1) into -1 0.479 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.479 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.479 * [taylor]: Taking taylor expansion of -1 in n 0.479 * [backup-simplify]: Simplify -1 into -1 0.479 * [backup-simplify]: Simplify -1 into -1 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (- 0) into 0 0.480 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.480 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.480 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.480 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.480 * [taylor]: Taking taylor expansion of 2 in n 0.480 * [backup-simplify]: Simplify 2 into 2 0.480 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.480 * [taylor]: Taking taylor expansion of n in n 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ 1 1) into 1 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.482 * [backup-simplify]: Simplify (- 0) into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (- 0) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.484 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.484 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.484 * [taylor]: Taking taylor expansion of 2 in n 0.484 * [backup-simplify]: Simplify 2 into 2 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.484 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.484 * [taylor]: Taking taylor expansion of n in n 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (* 1 1) into 1 0.485 * [backup-simplify]: Simplify (/ 1 1) into 1 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- 0) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.491 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.491 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.491 * [taylor]: Taking taylor expansion of 2 in n 0.491 * [backup-simplify]: Simplify 2 into 2 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.491 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.491 * [taylor]: Taking taylor expansion of n in n 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (* 1 1) into 1 0.492 * [backup-simplify]: Simplify (* 1 1) into 1 0.492 * [backup-simplify]: Simplify (/ 1 1) into 1 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (- 0) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify -1 into -1 0.497 * * * [progress]: simplifying candidates 0.499 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.501 * * [simplify]: Extracting # 0 : cost 0 0.501 * * [simplify]: Extracting # 1 : cost 0 0.501 * * [simplify]: Extracting # 2 : cost 0 0.501 * * [simplify]: Extracting # 3 : cost 0 0.501 * * [simplify]: Extracting # 4 : cost 0 0.501 * * [simplify]: Extracting # 5 : cost 0 0.502 * * [simplify]: Extracting # 6 : cost 0 0.502 * * [simplify]: Extracting # 7 : cost 0 0.502 * * [simplify]: iteration 0 : 133 enodes (cost 1451 ) 0.528 * * [simplify]: Extracting # 0 : cost 0 0.529 * * [simplify]: Extracting # 1 : cost 0 0.529 * * [simplify]: Extracting # 2 : cost 0 0.529 * * [simplify]: Extracting # 3 : cost 0 0.529 * * [simplify]: Extracting # 4 : cost 0 0.530 * * [simplify]: iteration 1 : 287 enodes (cost 1378 ) 0.584 * * [simplify]: Extracting # 0 : cost 0 0.585 * * [simplify]: Extracting # 1 : cost 0 0.586 * * [simplify]: Extracting # 2 : cost 0 0.587 * * [simplify]: Extracting # 3 : cost 0 0.587 * * [simplify]: Extracting # 4 : cost 0 0.588 * * [simplify]: iteration 2 : 690 enodes (cost 1348 ) 0.827 * * [simplify]: Extracting # 0 : cost 0 0.830 * * [simplify]: Extracting # 1 : cost 0 0.837 * * [simplify]: Extracting # 2 : cost 0 0.838 * * [simplify]: Extracting # 3 : cost 0 0.840 * * [simplify]: iteration 3 : 1825 enodes (cost 1340 ) 1.962 * * [simplify]: Extracting # 0 : cost 0 1.968 * * [simplify]: Extracting # 1 : cost 0 1.973 * * [simplify]: Extracting # 2 : cost 0 1.977 * * [simplify]: Extracting # 3 : cost 0 1.980 * * [simplify]: iteration 4 : 4716 enodes (cost 1340 ) 2.897 * * [simplify]: Extracting # 0 : cost 0 2.901 * * [simplify]: Extracting # 1 : cost 0 2.905 * * [simplify]: Extracting # 2 : cost 0 2.910 * * [simplify]: iteration done: 5001 enodes (cost 1340 ) 2.911 * [simplify]: Simplified to: (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ f n) (- n f) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (- f n) (+ (* n (- n f)) (* f f))) (* (- f n) (- f n)) 1 -1 -1 2.911 * * * [progress]: adding candidates to table 3.062 * * [progress]: iteration 2 / 4 3.062 * * * [progress]: picking best candidate 3.067 * * * * [pick]: Picked # 3.067 * * * [progress]: localizing error 3.075 * * * [progress]: generating rewritten candidates 3.076 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 3.112 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 3.144 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 3.210 * * * [progress]: generating series expansions 3.210 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 3.210 * [backup-simplify]: Simplify (pow (/ (- (+ f n)) (- f n)) 3) into (pow (* -1 (/ (+ n f) (- f n))) 3) 3.210 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in (f n) around 0 3.210 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in n 3.210 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.210 * [taylor]: Taking taylor expansion of -1 in n 3.210 * [backup-simplify]: Simplify -1 into -1 3.210 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.210 * [taylor]: Taking taylor expansion of (+ n f) in n 3.210 * [taylor]: Taking taylor expansion of n in n 3.210 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify 1 into 1 3.210 * [taylor]: Taking taylor expansion of f in n 3.210 * [backup-simplify]: Simplify f into f 3.210 * [taylor]: Taking taylor expansion of (- f n) in n 3.210 * [taylor]: Taking taylor expansion of f in n 3.210 * [backup-simplify]: Simplify f into f 3.210 * [taylor]: Taking taylor expansion of n in n 3.210 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify 1 into 1 3.210 * [backup-simplify]: Simplify (+ 0 f) into f 3.211 * [backup-simplify]: Simplify (- 0) into 0 3.211 * [backup-simplify]: Simplify (+ f 0) into f 3.211 * [backup-simplify]: Simplify (/ f f) into 1 3.211 * [backup-simplify]: Simplify (* -1 1) into -1 3.211 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 3.211 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.211 * [taylor]: Taking taylor expansion of -1 in f 3.211 * [backup-simplify]: Simplify -1 into -1 3.211 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.211 * [taylor]: Taking taylor expansion of (+ n f) in f 3.211 * [taylor]: Taking taylor expansion of n in f 3.211 * [backup-simplify]: Simplify n into n 3.211 * [taylor]: Taking taylor expansion of f in f 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 1 into 1 3.211 * [taylor]: Taking taylor expansion of (- f n) in f 3.211 * [taylor]: Taking taylor expansion of f in f 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 1 into 1 3.211 * [taylor]: Taking taylor expansion of n in f 3.211 * [backup-simplify]: Simplify n into n 3.211 * [backup-simplify]: Simplify (+ n 0) into n 3.211 * [backup-simplify]: Simplify (- n) into (- n) 3.211 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.211 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.212 * [backup-simplify]: Simplify (* -1 -1) into 1 3.212 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 3.212 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.212 * [taylor]: Taking taylor expansion of -1 in f 3.212 * [backup-simplify]: Simplify -1 into -1 3.212 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.212 * [taylor]: Taking taylor expansion of (+ n f) in f 3.212 * [taylor]: Taking taylor expansion of n in f 3.212 * [backup-simplify]: Simplify n into n 3.212 * [taylor]: Taking taylor expansion of f in f 3.212 * [backup-simplify]: Simplify 0 into 0 3.212 * [backup-simplify]: Simplify 1 into 1 3.212 * [taylor]: Taking taylor expansion of (- f n) in f 3.212 * [taylor]: Taking taylor expansion of f in f 3.212 * [backup-simplify]: Simplify 0 into 0 3.212 * [backup-simplify]: Simplify 1 into 1 3.212 * [taylor]: Taking taylor expansion of n in f 3.212 * [backup-simplify]: Simplify n into n 3.212 * [backup-simplify]: Simplify (+ n 0) into n 3.212 * [backup-simplify]: Simplify (- n) into (- n) 3.212 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.212 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.212 * [backup-simplify]: Simplify (* -1 -1) into 1 3.213 * [backup-simplify]: Simplify (* 1 1) into 1 3.213 * [backup-simplify]: Simplify (* 1 1) into 1 3.213 * [taylor]: Taking taylor expansion of 1 in n 3.213 * [backup-simplify]: Simplify 1 into 1 3.213 * [backup-simplify]: Simplify 1 into 1 3.213 * [backup-simplify]: Simplify (+ 0 1) into 1 3.213 * [backup-simplify]: Simplify (- 0) into 0 3.214 * [backup-simplify]: Simplify (+ 1 0) into 1 3.214 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.214 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.214 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 4 (/ 1 n)) 3.214 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 6 (/ 1 n)) 3.214 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 3.214 * [taylor]: Taking taylor expansion of 6 in n 3.214 * [backup-simplify]: Simplify 6 into 6 3.214 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.214 * [taylor]: Taking taylor expansion of n in n 3.214 * [backup-simplify]: Simplify 0 into 0 3.214 * [backup-simplify]: Simplify 1 into 1 3.215 * [backup-simplify]: Simplify (/ 1 1) into 1 3.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.215 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 3.215 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify 0 into 0 3.216 * [backup-simplify]: Simplify (+ 0 0) into 0 3.216 * [backup-simplify]: Simplify (- 0) into 0 3.216 * [backup-simplify]: Simplify (+ 0 0) into 0 3.216 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.217 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.217 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 n)) (* 2 (/ 1 n))) (* (* 2 (/ 1 (pow n 2))) 1))) into (* 8 (/ 1 (pow n 2))) 3.217 * [backup-simplify]: Simplify (+ (* 1 (* 8 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 n)) (* 4 (/ 1 n))) (* (* 2 (/ 1 (pow n 2))) 1))) into (* 18 (/ 1 (pow n 2))) 3.217 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 3.217 * [taylor]: Taking taylor expansion of 18 in n 3.217 * [backup-simplify]: Simplify 18 into 18 3.217 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.217 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.218 * [taylor]: Taking taylor expansion of n in n 3.218 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify 1 into 1 3.218 * [backup-simplify]: Simplify (* 1 1) into 1 3.218 * [backup-simplify]: Simplify (/ 1 1) into 1 3.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.220 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 3.220 * [backup-simplify]: Simplify 0 into 0 3.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.221 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 3.221 * [backup-simplify]: Simplify 0 into 0 3.221 * [backup-simplify]: Simplify 0 into 0 3.221 * [backup-simplify]: Simplify (+ 0 0) into 0 3.222 * [backup-simplify]: Simplify (- 0) into 0 3.222 * [backup-simplify]: Simplify (+ 0 0) into 0 3.222 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 3.223 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 3.223 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow n 3)))) (+ (* (* 2 (/ 1 n)) (* 2 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 (pow n 2))) (* 2 (/ 1 n))) (* (* 2 (/ 1 (pow n 3))) 1)))) into (* 12 (/ 1 (pow n 3))) 3.224 * [backup-simplify]: Simplify (+ (* 1 (* 12 (/ 1 (pow n 3)))) (+ (* (* 2 (/ 1 n)) (* 8 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 (pow n 2))) (* 4 (/ 1 n))) (* (* 2 (/ 1 (pow n 3))) 1)))) into (* 38 (/ 1 (pow n 3))) 3.224 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 3.224 * [taylor]: Taking taylor expansion of 38 in n 3.224 * [backup-simplify]: Simplify 38 into 38 3.224 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.224 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.224 * [taylor]: Taking taylor expansion of n in n 3.224 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify 1 into 1 3.224 * [backup-simplify]: Simplify (* 1 1) into 1 3.225 * [backup-simplify]: Simplify (* 1 1) into 1 3.225 * [backup-simplify]: Simplify (/ 1 1) into 1 3.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.229 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 1 into 1 3.230 * [backup-simplify]: Simplify (pow (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 3) into (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) 3.230 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in (f n) around 0 3.230 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in n 3.230 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.230 * [taylor]: Taking taylor expansion of -1 in n 3.230 * [backup-simplify]: Simplify -1 into -1 3.230 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.230 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.230 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.230 * [taylor]: Taking taylor expansion of f in n 3.230 * [backup-simplify]: Simplify f into f 3.230 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.230 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.230 * [taylor]: Taking taylor expansion of n in n 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.230 * [backup-simplify]: Simplify (/ 1 1) into 1 3.230 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.230 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.230 * [taylor]: Taking taylor expansion of f in n 3.230 * [backup-simplify]: Simplify f into f 3.230 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.230 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.230 * [taylor]: Taking taylor expansion of n in n 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.231 * [backup-simplify]: Simplify (/ 1 1) into 1 3.231 * [backup-simplify]: Simplify (+ 0 1) into 1 3.231 * [backup-simplify]: Simplify (- 1) into -1 3.232 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.232 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.232 * [backup-simplify]: Simplify (* -1 -1) into 1 3.232 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 3.232 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.232 * [taylor]: Taking taylor expansion of -1 in f 3.232 * [backup-simplify]: Simplify -1 into -1 3.232 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.232 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.232 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.232 * [taylor]: Taking taylor expansion of f in f 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 1 into 1 3.233 * [backup-simplify]: Simplify (/ 1 1) into 1 3.233 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.233 * [taylor]: Taking taylor expansion of n in f 3.233 * [backup-simplify]: Simplify n into n 3.233 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.233 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.233 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.233 * [taylor]: Taking taylor expansion of f in f 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 1 into 1 3.233 * [backup-simplify]: Simplify (/ 1 1) into 1 3.233 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.233 * [taylor]: Taking taylor expansion of n in f 3.233 * [backup-simplify]: Simplify n into n 3.233 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.233 * [backup-simplify]: Simplify (+ 1 0) into 1 3.233 * [backup-simplify]: Simplify (+ 1 0) into 1 3.234 * [backup-simplify]: Simplify (/ 1 1) into 1 3.234 * [backup-simplify]: Simplify (* -1 1) into -1 3.234 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 3.234 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.234 * [taylor]: Taking taylor expansion of -1 in f 3.234 * [backup-simplify]: Simplify -1 into -1 3.234 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.234 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.234 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.234 * [taylor]: Taking taylor expansion of f in f 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify 1 into 1 3.234 * [backup-simplify]: Simplify (/ 1 1) into 1 3.234 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.234 * [taylor]: Taking taylor expansion of n in f 3.234 * [backup-simplify]: Simplify n into n 3.234 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.234 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.234 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.234 * [taylor]: Taking taylor expansion of f in f 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 1 into 1 3.235 * [backup-simplify]: Simplify (/ 1 1) into 1 3.235 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.235 * [taylor]: Taking taylor expansion of n in f 3.235 * [backup-simplify]: Simplify n into n 3.235 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.235 * [backup-simplify]: Simplify (+ 1 0) into 1 3.235 * [backup-simplify]: Simplify (+ 1 0) into 1 3.236 * [backup-simplify]: Simplify (/ 1 1) into 1 3.236 * [backup-simplify]: Simplify (* -1 1) into -1 3.236 * [backup-simplify]: Simplify (* -1 -1) into 1 3.236 * [backup-simplify]: Simplify (* -1 1) into -1 3.236 * [taylor]: Taking taylor expansion of -1 in n 3.236 * [backup-simplify]: Simplify -1 into -1 3.236 * [backup-simplify]: Simplify -1 into -1 3.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.237 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.237 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.237 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.237 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.238 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.238 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) 3.244 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 n))) (* (- (* 2 (/ 1 n))) 1)) into (- (* 6 (/ 1 n))) 3.244 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 3.244 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 3.244 * [taylor]: Taking taylor expansion of 6 in n 3.244 * [backup-simplify]: Simplify 6 into 6 3.244 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.244 * [taylor]: Taking taylor expansion of n in n 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify 1 into 1 3.244 * [backup-simplify]: Simplify (/ 1 1) into 1 3.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.245 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 3.245 * [backup-simplify]: Simplify (- 0) into 0 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.246 * [backup-simplify]: Simplify (+ 0 0) into 0 3.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.247 * [backup-simplify]: Simplify (- 0) into 0 3.247 * [backup-simplify]: Simplify (+ 0 0) into 0 3.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.249 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.249 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 2)))) -1))) into (* 8 (/ 1 (pow n 2))) 3.249 * [backup-simplify]: Simplify (+ (* -1 (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 n))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 2)))) 1))) into (- (* 18 (/ 1 (pow n 2)))) 3.249 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 3.249 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 3.249 * [taylor]: Taking taylor expansion of 18 in n 3.250 * [backup-simplify]: Simplify 18 into 18 3.250 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.250 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.250 * [taylor]: Taking taylor expansion of n in n 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 1 into 1 3.250 * [backup-simplify]: Simplify (* 1 1) into 1 3.250 * [backup-simplify]: Simplify (/ 1 1) into 1 3.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 3.252 * [backup-simplify]: Simplify (- 0) into 0 3.252 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 3.254 * [backup-simplify]: Simplify (- 0) into 0 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.255 * [backup-simplify]: Simplify (+ 0 0) into 0 3.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.256 * [backup-simplify]: Simplify (- 0) into 0 3.256 * [backup-simplify]: Simplify (+ 0 0) into 0 3.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 3.257 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.258 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 3)))) -1)))) into (* 12 (/ 1 (pow n 3))) 3.259 * [backup-simplify]: Simplify (+ (* -1 (* 12 (/ 1 (pow n 3)))) (+ (* (- (* 2 (/ 1 n))) (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 3)))) 1)))) into (- (* 38 (/ 1 (pow n 3)))) 3.259 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 3.259 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 3.259 * [taylor]: Taking taylor expansion of 38 in n 3.259 * [backup-simplify]: Simplify 38 into 38 3.259 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.259 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.259 * [taylor]: Taking taylor expansion of n in n 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 1 into 1 3.259 * [backup-simplify]: Simplify (* 1 1) into 1 3.259 * [backup-simplify]: Simplify (* 1 1) into 1 3.259 * [backup-simplify]: Simplify (/ 1 1) into 1 3.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.264 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.264 * [backup-simplify]: Simplify (- 0) into 0 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify -1 into -1 3.265 * [backup-simplify]: Simplify (pow (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) 3) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) 3.265 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in (f n) around 0 3.265 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in n 3.265 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.265 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.265 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.265 * [taylor]: Taking taylor expansion of f in n 3.265 * [backup-simplify]: Simplify f into f 3.265 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.265 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.265 * [taylor]: Taking taylor expansion of n in n 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 1 into 1 3.265 * [backup-simplify]: Simplify (/ 1 1) into 1 3.265 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.265 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.265 * [taylor]: Taking taylor expansion of n in n 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 1 into 1 3.265 * [backup-simplify]: Simplify (/ 1 1) into 1 3.265 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.265 * [taylor]: Taking taylor expansion of f in n 3.265 * [backup-simplify]: Simplify f into f 3.265 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.266 * [backup-simplify]: Simplify (+ 0 1) into 1 3.266 * [backup-simplify]: Simplify (+ 1 0) into 1 3.266 * [backup-simplify]: Simplify (/ 1 1) into 1 3.266 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 3.266 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.266 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.266 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.266 * [taylor]: Taking taylor expansion of f in f 3.266 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify 1 into 1 3.266 * [backup-simplify]: Simplify (/ 1 1) into 1 3.267 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.267 * [taylor]: Taking taylor expansion of n in f 3.267 * [backup-simplify]: Simplify n into n 3.267 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.267 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.267 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.267 * [taylor]: Taking taylor expansion of n in f 3.267 * [backup-simplify]: Simplify n into n 3.267 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.267 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.267 * [taylor]: Taking taylor expansion of f in f 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify 1 into 1 3.267 * [backup-simplify]: Simplify (/ 1 1) into 1 3.267 * [backup-simplify]: Simplify (+ 1 0) into 1 3.267 * [backup-simplify]: Simplify (- 1) into -1 3.268 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.268 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.268 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 3.268 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.268 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.268 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.268 * [taylor]: Taking taylor expansion of f in f 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 1 into 1 3.268 * [backup-simplify]: Simplify (/ 1 1) into 1 3.268 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.268 * [taylor]: Taking taylor expansion of n in f 3.268 * [backup-simplify]: Simplify n into n 3.268 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.268 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.268 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.268 * [taylor]: Taking taylor expansion of n in f 3.268 * [backup-simplify]: Simplify n into n 3.268 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.268 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.268 * [taylor]: Taking taylor expansion of f in f 3.268 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 1 into 1 3.269 * [backup-simplify]: Simplify (/ 1 1) into 1 3.269 * [backup-simplify]: Simplify (+ 1 0) into 1 3.269 * [backup-simplify]: Simplify (- 1) into -1 3.269 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.270 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.270 * [backup-simplify]: Simplify (* -1 -1) into 1 3.270 * [backup-simplify]: Simplify (* -1 1) into -1 3.270 * [taylor]: Taking taylor expansion of -1 in n 3.270 * [backup-simplify]: Simplify -1 into -1 3.270 * [backup-simplify]: Simplify -1 into -1 3.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.271 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.271 * [backup-simplify]: Simplify (- 0) into 0 3.271 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.272 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.272 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) 3.272 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 n))) (* (- (* 2 (/ 1 n))) 1)) into (- (* 6 (/ 1 n))) 3.272 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 3.272 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 3.272 * [taylor]: Taking taylor expansion of 6 in n 3.272 * [backup-simplify]: Simplify 6 into 6 3.272 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.272 * [taylor]: Taking taylor expansion of n in n 3.272 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify 1 into 1 3.272 * [backup-simplify]: Simplify (/ 1 1) into 1 3.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.273 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 3.273 * [backup-simplify]: Simplify (- 0) into 0 3.273 * [backup-simplify]: Simplify 0 into 0 3.273 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.274 * [backup-simplify]: Simplify (+ 0 0) into 0 3.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.275 * [backup-simplify]: Simplify (- 0) into 0 3.275 * [backup-simplify]: Simplify (+ 0 0) into 0 3.276 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.276 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 2)))) -1))) into (* 8 (/ 1 (pow n 2))) 3.276 * [backup-simplify]: Simplify (+ (* -1 (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 n))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 2)))) 1))) into (- (* 18 (/ 1 (pow n 2)))) 3.276 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 3.276 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 3.276 * [taylor]: Taking taylor expansion of 18 in n 3.276 * [backup-simplify]: Simplify 18 into 18 3.276 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.276 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.276 * [taylor]: Taking taylor expansion of n in n 3.276 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify 1 into 1 3.277 * [backup-simplify]: Simplify (* 1 1) into 1 3.277 * [backup-simplify]: Simplify (/ 1 1) into 1 3.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.279 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 3.280 * [backup-simplify]: Simplify (- 0) into 0 3.280 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.281 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 3.281 * [backup-simplify]: Simplify (- 0) into 0 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.282 * [backup-simplify]: Simplify (+ 0 0) into 0 3.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.283 * [backup-simplify]: Simplify (- 0) into 0 3.283 * [backup-simplify]: Simplify (+ 0 0) into 0 3.284 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.284 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 3)))) -1)))) into (* 12 (/ 1 (pow n 3))) 3.285 * [backup-simplify]: Simplify (+ (* -1 (* 12 (/ 1 (pow n 3)))) (+ (* (- (* 2 (/ 1 n))) (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 3)))) 1)))) into (- (* 38 (/ 1 (pow n 3)))) 3.285 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 3.285 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 3.285 * [taylor]: Taking taylor expansion of 38 in n 3.285 * [backup-simplify]: Simplify 38 into 38 3.285 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.285 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.285 * [taylor]: Taking taylor expansion of n in n 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 1 into 1 3.285 * [backup-simplify]: Simplify (* 1 1) into 1 3.286 * [backup-simplify]: Simplify (* 1 1) into 1 3.286 * [backup-simplify]: Simplify (/ 1 1) into 1 3.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.290 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.291 * [backup-simplify]: Simplify (- 0) into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify -1 into -1 3.291 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 3.291 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 3.291 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.291 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.291 * [taylor]: Taking taylor expansion of -1 in n 3.291 * [backup-simplify]: Simplify -1 into -1 3.291 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.291 * [taylor]: Taking taylor expansion of (+ n f) in n 3.291 * [taylor]: Taking taylor expansion of n in n 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 1 into 1 3.291 * [taylor]: Taking taylor expansion of f in n 3.291 * [backup-simplify]: Simplify f into f 3.291 * [taylor]: Taking taylor expansion of (- f n) in n 3.291 * [taylor]: Taking taylor expansion of f in n 3.291 * [backup-simplify]: Simplify f into f 3.291 * [taylor]: Taking taylor expansion of n in n 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 1 into 1 3.291 * [backup-simplify]: Simplify (+ 0 f) into f 3.291 * [backup-simplify]: Simplify (- 0) into 0 3.291 * [backup-simplify]: Simplify (+ f 0) into f 3.291 * [backup-simplify]: Simplify (/ f f) into 1 3.292 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.292 * [taylor]: Taking taylor expansion of -1 in f 3.292 * [backup-simplify]: Simplify -1 into -1 3.292 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.292 * [taylor]: Taking taylor expansion of (+ n f) in f 3.292 * [taylor]: Taking taylor expansion of n in f 3.292 * [backup-simplify]: Simplify n into n 3.292 * [taylor]: Taking taylor expansion of f in f 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [taylor]: Taking taylor expansion of (- f n) in f 3.292 * [taylor]: Taking taylor expansion of f in f 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [taylor]: Taking taylor expansion of n in f 3.292 * [backup-simplify]: Simplify n into n 3.292 * [backup-simplify]: Simplify (+ n 0) into n 3.292 * [backup-simplify]: Simplify (- n) into (- n) 3.292 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.292 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.292 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.292 * [taylor]: Taking taylor expansion of -1 in f 3.292 * [backup-simplify]: Simplify -1 into -1 3.292 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.292 * [taylor]: Taking taylor expansion of (+ n f) in f 3.292 * [taylor]: Taking taylor expansion of n in f 3.292 * [backup-simplify]: Simplify n into n 3.292 * [taylor]: Taking taylor expansion of f in f 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [taylor]: Taking taylor expansion of (- f n) in f 3.292 * [taylor]: Taking taylor expansion of f in f 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [taylor]: Taking taylor expansion of n in f 3.292 * [backup-simplify]: Simplify n into n 3.292 * [backup-simplify]: Simplify (+ n 0) into n 3.292 * [backup-simplify]: Simplify (- n) into (- n) 3.292 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.292 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.292 * [backup-simplify]: Simplify (* -1 -1) into 1 3.292 * [taylor]: Taking taylor expansion of 1 in n 3.293 * [backup-simplify]: Simplify 1 into 1 3.293 * [backup-simplify]: Simplify 1 into 1 3.293 * [backup-simplify]: Simplify (+ 0 1) into 1 3.293 * [backup-simplify]: Simplify (- 0) into 0 3.293 * [backup-simplify]: Simplify (+ 1 0) into 1 3.293 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.294 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.294 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.294 * [taylor]: Taking taylor expansion of 2 in n 3.294 * [backup-simplify]: Simplify 2 into 2 3.294 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.294 * [taylor]: Taking taylor expansion of n in n 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 1 into 1 3.294 * [backup-simplify]: Simplify (/ 1 1) into 1 3.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.295 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.295 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify (+ 0 0) into 0 3.295 * [backup-simplify]: Simplify (- 0) into 0 3.296 * [backup-simplify]: Simplify (+ 0 0) into 0 3.296 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.296 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.296 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.296 * [taylor]: Taking taylor expansion of 2 in n 3.296 * [backup-simplify]: Simplify 2 into 2 3.296 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.296 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.296 * [taylor]: Taking taylor expansion of n in n 3.296 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify 1 into 1 3.297 * [backup-simplify]: Simplify (* 1 1) into 1 3.297 * [backup-simplify]: Simplify (/ 1 1) into 1 3.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.299 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.300 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.300 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify (+ 0 0) into 0 3.300 * [backup-simplify]: Simplify (- 0) into 0 3.301 * [backup-simplify]: Simplify (+ 0 0) into 0 3.301 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 3.302 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 3.302 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.302 * [taylor]: Taking taylor expansion of 2 in n 3.302 * [backup-simplify]: Simplify 2 into 2 3.302 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.302 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.302 * [taylor]: Taking taylor expansion of n in n 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 1 into 1 3.302 * [backup-simplify]: Simplify (* 1 1) into 1 3.302 * [backup-simplify]: Simplify (* 1 1) into 1 3.302 * [backup-simplify]: Simplify (/ 1 1) into 1 3.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.307 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify 1 into 1 3.308 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.308 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.308 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.308 * [taylor]: Taking taylor expansion of -1 in n 3.308 * [backup-simplify]: Simplify -1 into -1 3.308 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.308 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.308 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.308 * [taylor]: Taking taylor expansion of f in n 3.308 * [backup-simplify]: Simplify f into f 3.308 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.308 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.308 * [taylor]: Taking taylor expansion of n in n 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify 1 into 1 3.308 * [backup-simplify]: Simplify (/ 1 1) into 1 3.308 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.308 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.308 * [taylor]: Taking taylor expansion of f in n 3.308 * [backup-simplify]: Simplify f into f 3.308 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.308 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.308 * [taylor]: Taking taylor expansion of n in n 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify 1 into 1 3.309 * [backup-simplify]: Simplify (/ 1 1) into 1 3.309 * [backup-simplify]: Simplify (+ 0 1) into 1 3.309 * [backup-simplify]: Simplify (- 1) into -1 3.309 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.309 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.309 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.310 * [taylor]: Taking taylor expansion of -1 in f 3.310 * [backup-simplify]: Simplify -1 into -1 3.310 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.310 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.310 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.310 * [taylor]: Taking taylor expansion of f in f 3.310 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify 1 into 1 3.310 * [backup-simplify]: Simplify (/ 1 1) into 1 3.310 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.310 * [taylor]: Taking taylor expansion of n in f 3.310 * [backup-simplify]: Simplify n into n 3.310 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.310 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.310 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.310 * [taylor]: Taking taylor expansion of f in f 3.310 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify 1 into 1 3.310 * [backup-simplify]: Simplify (/ 1 1) into 1 3.310 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.310 * [taylor]: Taking taylor expansion of n in f 3.310 * [backup-simplify]: Simplify n into n 3.310 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.311 * [backup-simplify]: Simplify (+ 1 0) into 1 3.311 * [backup-simplify]: Simplify (+ 1 0) into 1 3.311 * [backup-simplify]: Simplify (/ 1 1) into 1 3.311 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.311 * [taylor]: Taking taylor expansion of -1 in f 3.311 * [backup-simplify]: Simplify -1 into -1 3.311 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.311 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.311 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.311 * [taylor]: Taking taylor expansion of f in f 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify 1 into 1 3.311 * [backup-simplify]: Simplify (/ 1 1) into 1 3.311 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.311 * [taylor]: Taking taylor expansion of n in f 3.311 * [backup-simplify]: Simplify n into n 3.311 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.312 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.312 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.312 * [taylor]: Taking taylor expansion of f in f 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify 1 into 1 3.312 * [backup-simplify]: Simplify (/ 1 1) into 1 3.312 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.312 * [taylor]: Taking taylor expansion of n in f 3.312 * [backup-simplify]: Simplify n into n 3.312 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.312 * [backup-simplify]: Simplify (+ 1 0) into 1 3.312 * [backup-simplify]: Simplify (+ 1 0) into 1 3.313 * [backup-simplify]: Simplify (/ 1 1) into 1 3.313 * [backup-simplify]: Simplify (* -1 1) into -1 3.313 * [taylor]: Taking taylor expansion of -1 in n 3.313 * [backup-simplify]: Simplify -1 into -1 3.313 * [backup-simplify]: Simplify -1 into -1 3.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.313 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.314 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.314 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.314 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.314 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.314 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.314 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.315 * [taylor]: Taking taylor expansion of 2 in n 3.315 * [backup-simplify]: Simplify 2 into 2 3.315 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.315 * [taylor]: Taking taylor expansion of n in n 3.315 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.315 * [backup-simplify]: Simplify (/ 1 1) into 1 3.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.316 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.316 * [backup-simplify]: Simplify (- 0) into 0 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.317 * [backup-simplify]: Simplify (+ 0 0) into 0 3.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.317 * [backup-simplify]: Simplify (- 0) into 0 3.318 * [backup-simplify]: Simplify (+ 0 0) into 0 3.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.319 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.319 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.319 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.319 * [taylor]: Taking taylor expansion of 2 in n 3.319 * [backup-simplify]: Simplify 2 into 2 3.319 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.319 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.319 * [taylor]: Taking taylor expansion of n in n 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 1 into 1 3.319 * [backup-simplify]: Simplify (* 1 1) into 1 3.319 * [backup-simplify]: Simplify (/ 1 1) into 1 3.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.322 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.322 * [backup-simplify]: Simplify (- 0) into 0 3.322 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.323 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.323 * [backup-simplify]: Simplify (- 0) into 0 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.324 * [backup-simplify]: Simplify (+ 0 0) into 0 3.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.325 * [backup-simplify]: Simplify (- 0) into 0 3.325 * [backup-simplify]: Simplify (+ 0 0) into 0 3.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 3.327 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.327 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.327 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.327 * [taylor]: Taking taylor expansion of 2 in n 3.327 * [backup-simplify]: Simplify 2 into 2 3.327 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.327 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.327 * [taylor]: Taking taylor expansion of n in n 3.327 * [backup-simplify]: Simplify 0 into 0 3.327 * [backup-simplify]: Simplify 1 into 1 3.327 * [backup-simplify]: Simplify (* 1 1) into 1 3.327 * [backup-simplify]: Simplify (* 1 1) into 1 3.328 * [backup-simplify]: Simplify (/ 1 1) into 1 3.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.332 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.335 * [backup-simplify]: Simplify (- 0) into 0 3.335 * [backup-simplify]: Simplify 0 into 0 3.335 * [backup-simplify]: Simplify -1 into -1 3.335 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.335 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.335 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.335 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.335 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.335 * [taylor]: Taking taylor expansion of f in n 3.335 * [backup-simplify]: Simplify f into f 3.335 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.335 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.335 * [taylor]: Taking taylor expansion of n in n 3.335 * [backup-simplify]: Simplify 0 into 0 3.335 * [backup-simplify]: Simplify 1 into 1 3.336 * [backup-simplify]: Simplify (/ 1 1) into 1 3.336 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.336 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.336 * [taylor]: Taking taylor expansion of n in n 3.336 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify 1 into 1 3.336 * [backup-simplify]: Simplify (/ 1 1) into 1 3.336 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.336 * [taylor]: Taking taylor expansion of f in n 3.336 * [backup-simplify]: Simplify f into f 3.336 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.336 * [backup-simplify]: Simplify (+ 0 1) into 1 3.336 * [backup-simplify]: Simplify (+ 1 0) into 1 3.337 * [backup-simplify]: Simplify (/ 1 1) into 1 3.337 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.337 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.337 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.337 * [taylor]: Taking taylor expansion of f in f 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 1 into 1 3.337 * [backup-simplify]: Simplify (/ 1 1) into 1 3.337 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.337 * [taylor]: Taking taylor expansion of n in f 3.337 * [backup-simplify]: Simplify n into n 3.337 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.337 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.337 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.337 * [taylor]: Taking taylor expansion of n in f 3.337 * [backup-simplify]: Simplify n into n 3.337 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.337 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.337 * [taylor]: Taking taylor expansion of f in f 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 1 into 1 3.337 * [backup-simplify]: Simplify (/ 1 1) into 1 3.338 * [backup-simplify]: Simplify (+ 1 0) into 1 3.338 * [backup-simplify]: Simplify (- 1) into -1 3.338 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.338 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.338 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.338 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.338 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.338 * [taylor]: Taking taylor expansion of f in f 3.338 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify 1 into 1 3.339 * [backup-simplify]: Simplify (/ 1 1) into 1 3.339 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.339 * [taylor]: Taking taylor expansion of n in f 3.339 * [backup-simplify]: Simplify n into n 3.339 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.339 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.339 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.339 * [taylor]: Taking taylor expansion of n in f 3.339 * [backup-simplify]: Simplify n into n 3.339 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.339 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.339 * [taylor]: Taking taylor expansion of f in f 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify 1 into 1 3.339 * [backup-simplify]: Simplify (/ 1 1) into 1 3.339 * [backup-simplify]: Simplify (+ 1 0) into 1 3.340 * [backup-simplify]: Simplify (- 1) into -1 3.340 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.340 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.340 * [taylor]: Taking taylor expansion of -1 in n 3.340 * [backup-simplify]: Simplify -1 into -1 3.340 * [backup-simplify]: Simplify -1 into -1 3.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.341 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.341 * [backup-simplify]: Simplify (- 0) into 0 3.341 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.342 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.342 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.342 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.342 * [taylor]: Taking taylor expansion of 2 in n 3.342 * [backup-simplify]: Simplify 2 into 2 3.342 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.342 * [taylor]: Taking taylor expansion of n in n 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 1 into 1 3.342 * [backup-simplify]: Simplify (/ 1 1) into 1 3.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.343 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.343 * [backup-simplify]: Simplify (- 0) into 0 3.343 * [backup-simplify]: Simplify 0 into 0 3.343 * [backup-simplify]: Simplify 0 into 0 3.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.344 * [backup-simplify]: Simplify (+ 0 0) into 0 3.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.344 * [backup-simplify]: Simplify (- 0) into 0 3.345 * [backup-simplify]: Simplify (+ 0 0) into 0 3.345 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.345 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.345 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.345 * [taylor]: Taking taylor expansion of 2 in n 3.345 * [backup-simplify]: Simplify 2 into 2 3.345 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.345 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.345 * [taylor]: Taking taylor expansion of n in n 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify 1 into 1 3.346 * [backup-simplify]: Simplify (* 1 1) into 1 3.346 * [backup-simplify]: Simplify (/ 1 1) into 1 3.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.348 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.348 * [backup-simplify]: Simplify (- 0) into 0 3.348 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.349 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.349 * [backup-simplify]: Simplify (- 0) into 0 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.350 * [backup-simplify]: Simplify (+ 0 0) into 0 3.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.351 * [backup-simplify]: Simplify (- 0) into 0 3.351 * [backup-simplify]: Simplify (+ 0 0) into 0 3.352 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.352 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.352 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.352 * [taylor]: Taking taylor expansion of 2 in n 3.353 * [backup-simplify]: Simplify 2 into 2 3.353 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.353 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.353 * [taylor]: Taking taylor expansion of n in n 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [backup-simplify]: Simplify (* 1 1) into 1 3.353 * [backup-simplify]: Simplify (* 1 1) into 1 3.353 * [backup-simplify]: Simplify (/ 1 1) into 1 3.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.358 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.358 * [backup-simplify]: Simplify (- 0) into 0 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify -1 into -1 3.359 * * * * [progress]: [ 3 / 3 ] generating series at (2) 3.359 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ f n)) (- f n)) 3)) into (/ (* (cbrt -1) (+ n f)) (- f n)) 3.359 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0 3.359 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 3.359 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 3.359 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.359 * [taylor]: Taking taylor expansion of -1 in n 3.359 * [backup-simplify]: Simplify -1 into -1 3.360 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.360 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.360 * [taylor]: Taking taylor expansion of (+ n f) in n 3.360 * [taylor]: Taking taylor expansion of n in n 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [taylor]: Taking taylor expansion of f in n 3.360 * [backup-simplify]: Simplify f into f 3.360 * [taylor]: Taking taylor expansion of (- f n) in n 3.360 * [taylor]: Taking taylor expansion of f in n 3.360 * [backup-simplify]: Simplify f into f 3.360 * [taylor]: Taking taylor expansion of n in n 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify 1 into 1 3.361 * [backup-simplify]: Simplify (+ 0 f) into f 3.361 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 3.361 * [backup-simplify]: Simplify (- 0) into 0 3.361 * [backup-simplify]: Simplify (+ f 0) into f 3.361 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 3.362 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 3.362 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 3.362 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.362 * [taylor]: Taking taylor expansion of -1 in f 3.362 * [backup-simplify]: Simplify -1 into -1 3.362 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.362 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.362 * [taylor]: Taking taylor expansion of (+ n f) in f 3.362 * [taylor]: Taking taylor expansion of n in f 3.362 * [backup-simplify]: Simplify n into n 3.362 * [taylor]: Taking taylor expansion of f in f 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [taylor]: Taking taylor expansion of (- f n) in f 3.362 * [taylor]: Taking taylor expansion of f in f 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [taylor]: Taking taylor expansion of n in f 3.363 * [backup-simplify]: Simplify n into n 3.363 * [backup-simplify]: Simplify (+ n 0) into n 3.363 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 3.363 * [backup-simplify]: Simplify (- n) into (- n) 3.363 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.363 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 3.363 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 3.363 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 3.363 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.363 * [taylor]: Taking taylor expansion of -1 in f 3.363 * [backup-simplify]: Simplify -1 into -1 3.364 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.364 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.364 * [taylor]: Taking taylor expansion of (+ n f) in f 3.364 * [taylor]: Taking taylor expansion of n in f 3.364 * [backup-simplify]: Simplify n into n 3.364 * [taylor]: Taking taylor expansion of f in f 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.364 * [taylor]: Taking taylor expansion of (- f n) in f 3.364 * [taylor]: Taking taylor expansion of f in f 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.364 * [taylor]: Taking taylor expansion of n in f 3.364 * [backup-simplify]: Simplify n into n 3.364 * [backup-simplify]: Simplify (+ n 0) into n 3.365 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 3.365 * [backup-simplify]: Simplify (- n) into (- n) 3.365 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.365 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 3.365 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n 3.365 * [taylor]: Taking taylor expansion of -1 in n 3.365 * [backup-simplify]: Simplify -1 into -1 3.365 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.365 * [taylor]: Taking taylor expansion of -1 in n 3.365 * [backup-simplify]: Simplify -1 into -1 3.365 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.366 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.366 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 3.367 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 3.367 * [backup-simplify]: Simplify (+ 0 1) into 1 3.368 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 n)) into (cbrt -1) 3.368 * [backup-simplify]: Simplify (- 0) into 0 3.368 * [backup-simplify]: Simplify (+ 1 0) into 1 3.369 * [backup-simplify]: Simplify (- (/ (cbrt -1) (- n)) (+ (* (* -1 (cbrt -1)) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) n))) 3.369 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n 3.369 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 3.369 * [taylor]: Taking taylor expansion of 2 in n 3.369 * [backup-simplify]: Simplify 2 into 2 3.369 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 3.369 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.369 * [taylor]: Taking taylor expansion of -1 in n 3.369 * [backup-simplify]: Simplify -1 into -1 3.369 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.370 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.370 * [taylor]: Taking taylor expansion of n in n 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.372 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 3.372 * [backup-simplify]: Simplify (- 0) into 0 3.372 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0 3.372 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify (+ 0 0) into 0 3.373 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.374 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 n))) into 0 3.374 * [backup-simplify]: Simplify (- 0) into 0 3.374 * [backup-simplify]: Simplify (+ 0 0) into 0 3.376 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 2)))) 3.376 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n 3.376 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 3.376 * [taylor]: Taking taylor expansion of 2 in n 3.376 * [backup-simplify]: Simplify 2 into 2 3.376 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 3.376 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.376 * [taylor]: Taking taylor expansion of -1 in n 3.376 * [backup-simplify]: Simplify -1 into -1 3.376 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.376 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.376 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.376 * [taylor]: Taking taylor expansion of n in n 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.377 * [backup-simplify]: Simplify (* 1 1) into 1 3.377 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.380 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.381 * [backup-simplify]: Simplify (- 0) into 0 3.381 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.383 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.383 * [backup-simplify]: Simplify (- 0) into 0 3.383 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.384 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify (+ 0 0) into 0 3.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.386 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 n)))) into 0 3.386 * [backup-simplify]: Simplify (- 0) into 0 3.386 * [backup-simplify]: Simplify (+ 0 0) into 0 3.388 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 3)))) 3.388 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n 3.388 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 3.388 * [taylor]: Taking taylor expansion of 2 in n 3.388 * [backup-simplify]: Simplify 2 into 2 3.388 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 3.388 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.388 * [taylor]: Taking taylor expansion of -1 in n 3.388 * [backup-simplify]: Simplify -1 into -1 3.388 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.389 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.389 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.389 * [taylor]: Taking taylor expansion of n in n 3.389 * [backup-simplify]: Simplify 0 into 0 3.389 * [backup-simplify]: Simplify 1 into 1 3.389 * [backup-simplify]: Simplify (* 1 1) into 1 3.389 * [backup-simplify]: Simplify (* 1 1) into 1 3.390 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.395 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.397 * [backup-simplify]: Simplify (- 0) into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 3.398 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 3)) into (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 3.398 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 3.398 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n 3.398 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in n 3.398 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.398 * [taylor]: Taking taylor expansion of -1 in n 3.398 * [backup-simplify]: Simplify -1 into -1 3.398 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.399 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.399 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.399 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.399 * [taylor]: Taking taylor expansion of f in n 3.399 * [backup-simplify]: Simplify f into f 3.399 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.399 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.399 * [taylor]: Taking taylor expansion of n in n 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify 1 into 1 3.399 * [backup-simplify]: Simplify (/ 1 1) into 1 3.399 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.399 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.399 * [taylor]: Taking taylor expansion of f in n 3.399 * [backup-simplify]: Simplify f into f 3.399 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.399 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.399 * [taylor]: Taking taylor expansion of n in n 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify 1 into 1 3.399 * [backup-simplify]: Simplify (/ 1 1) into 1 3.400 * [backup-simplify]: Simplify (+ 0 1) into 1 3.400 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 3.401 * [backup-simplify]: Simplify (- 1) into -1 3.401 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.401 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 3.401 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 3.401 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 3.401 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.401 * [taylor]: Taking taylor expansion of -1 in f 3.401 * [backup-simplify]: Simplify -1 into -1 3.402 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.402 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.402 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.402 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.402 * [taylor]: Taking taylor expansion of f in f 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 1 into 1 3.402 * [backup-simplify]: Simplify (/ 1 1) into 1 3.402 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.403 * [taylor]: Taking taylor expansion of n in f 3.403 * [backup-simplify]: Simplify n into n 3.403 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.403 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.403 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.403 * [taylor]: Taking taylor expansion of f in f 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 1 into 1 3.403 * [backup-simplify]: Simplify (/ 1 1) into 1 3.403 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.403 * [taylor]: Taking taylor expansion of n in f 3.403 * [backup-simplify]: Simplify n into n 3.403 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.403 * [backup-simplify]: Simplify (+ 1 0) into 1 3.404 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 3.404 * [backup-simplify]: Simplify (+ 1 0) into 1 3.405 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.405 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 3.405 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 3.405 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.405 * [taylor]: Taking taylor expansion of -1 in f 3.405 * [backup-simplify]: Simplify -1 into -1 3.405 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.406 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.406 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.406 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.406 * [taylor]: Taking taylor expansion of f in f 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 1 into 1 3.406 * [backup-simplify]: Simplify (/ 1 1) into 1 3.406 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.406 * [taylor]: Taking taylor expansion of n in f 3.406 * [backup-simplify]: Simplify n into n 3.406 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.406 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.406 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.406 * [taylor]: Taking taylor expansion of f in f 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 1 into 1 3.407 * [backup-simplify]: Simplify (/ 1 1) into 1 3.407 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.407 * [taylor]: Taking taylor expansion of n in f 3.407 * [backup-simplify]: Simplify n into n 3.407 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.407 * [backup-simplify]: Simplify (+ 1 0) into 1 3.407 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 3.408 * [backup-simplify]: Simplify (+ 1 0) into 1 3.408 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.408 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.408 * [taylor]: Taking taylor expansion of -1 in n 3.408 * [backup-simplify]: Simplify -1 into -1 3.409 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.409 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.409 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.410 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.410 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 1 n)) (* 0 1)) into (/ (cbrt -1) n) 3.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.411 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.411 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.412 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) n) 1) (+ (* (cbrt -1) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) n)) 3.412 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 3.412 * [taylor]: Taking taylor expansion of 2 in n 3.412 * [backup-simplify]: Simplify 2 into 2 3.412 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 3.412 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.412 * [taylor]: Taking taylor expansion of -1 in n 3.412 * [backup-simplify]: Simplify -1 into -1 3.412 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.412 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.412 * [taylor]: Taking taylor expansion of n in n 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 1 into 1 3.413 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.414 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 3.414 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.415 * [backup-simplify]: Simplify (+ 0 0) into 0 3.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.416 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 3.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.417 * [backup-simplify]: Simplify (- 0) into 0 3.417 * [backup-simplify]: Simplify (+ 0 0) into 0 3.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 2))) 3.418 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 3.418 * [taylor]: Taking taylor expansion of 2 in n 3.418 * [backup-simplify]: Simplify 2 into 2 3.418 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 3.418 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.418 * [taylor]: Taking taylor expansion of -1 in n 3.418 * [backup-simplify]: Simplify -1 into -1 3.419 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.419 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.419 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.419 * [taylor]: Taking taylor expansion of n in n 3.419 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify 1 into 1 3.419 * [backup-simplify]: Simplify (* 1 1) into 1 3.420 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.421 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.423 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.428 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.428 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.429 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.430 * [backup-simplify]: Simplify (+ 0 0) into 0 3.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.432 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 3.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.433 * [backup-simplify]: Simplify (- 0) into 0 3.433 * [backup-simplify]: Simplify (+ 0 0) into 0 3.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ 0 1)) (* (* 2 (/ (cbrt -1) (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 3))) 3.435 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 3.435 * [taylor]: Taking taylor expansion of 2 in n 3.435 * [backup-simplify]: Simplify 2 into 2 3.435 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 3.435 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.435 * [taylor]: Taking taylor expansion of -1 in n 3.435 * [backup-simplify]: Simplify -1 into -1 3.435 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.435 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.435 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.435 * [taylor]: Taking taylor expansion of n in n 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify 1 into 1 3.436 * [backup-simplify]: Simplify (* 1 1) into 1 3.436 * [backup-simplify]: Simplify (* 1 1) into 1 3.436 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.443 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.444 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) 3)) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.444 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.444 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.444 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.444 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.444 * [taylor]: Taking taylor expansion of f in n 3.444 * [backup-simplify]: Simplify f into f 3.444 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.444 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.444 * [taylor]: Taking taylor expansion of n in n 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify 1 into 1 3.444 * [backup-simplify]: Simplify (/ 1 1) into 1 3.444 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.444 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.444 * [taylor]: Taking taylor expansion of n in n 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify 1 into 1 3.445 * [backup-simplify]: Simplify (/ 1 1) into 1 3.445 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.445 * [taylor]: Taking taylor expansion of f in n 3.445 * [backup-simplify]: Simplify f into f 3.445 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.445 * [backup-simplify]: Simplify (+ 0 1) into 1 3.445 * [backup-simplify]: Simplify (+ 1 0) into 1 3.445 * [backup-simplify]: Simplify (/ 1 1) into 1 3.446 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.446 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.446 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.446 * [taylor]: Taking taylor expansion of f in f 3.446 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify 1 into 1 3.446 * [backup-simplify]: Simplify (/ 1 1) into 1 3.446 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.446 * [taylor]: Taking taylor expansion of n in f 3.446 * [backup-simplify]: Simplify n into n 3.446 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.446 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.446 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.446 * [taylor]: Taking taylor expansion of n in f 3.446 * [backup-simplify]: Simplify n into n 3.446 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.446 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.446 * [taylor]: Taking taylor expansion of f in f 3.446 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify 1 into 1 3.446 * [backup-simplify]: Simplify (/ 1 1) into 1 3.447 * [backup-simplify]: Simplify (+ 1 0) into 1 3.447 * [backup-simplify]: Simplify (- 1) into -1 3.447 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.447 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.447 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.447 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.447 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.448 * [taylor]: Taking taylor expansion of f in f 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify 1 into 1 3.448 * [backup-simplify]: Simplify (/ 1 1) into 1 3.448 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.448 * [taylor]: Taking taylor expansion of n in f 3.448 * [backup-simplify]: Simplify n into n 3.448 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.448 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.448 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.448 * [taylor]: Taking taylor expansion of n in f 3.448 * [backup-simplify]: Simplify n into n 3.448 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.448 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.448 * [taylor]: Taking taylor expansion of f in f 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify 1 into 1 3.448 * [backup-simplify]: Simplify (/ 1 1) into 1 3.449 * [backup-simplify]: Simplify (+ 1 0) into 1 3.449 * [backup-simplify]: Simplify (- 1) into -1 3.449 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.449 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.449 * [taylor]: Taking taylor expansion of -1 in n 3.449 * [backup-simplify]: Simplify -1 into -1 3.449 * [backup-simplify]: Simplify -1 into -1 3.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.450 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.450 * [backup-simplify]: Simplify (- 0) into 0 3.451 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.451 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.451 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.451 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.451 * [taylor]: Taking taylor expansion of 2 in n 3.451 * [backup-simplify]: Simplify 2 into 2 3.451 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.451 * [taylor]: Taking taylor expansion of n in n 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [backup-simplify]: Simplify (/ 1 1) into 1 3.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.452 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.452 * [backup-simplify]: Simplify (- 0) into 0 3.452 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.453 * [backup-simplify]: Simplify (+ 0 0) into 0 3.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.454 * [backup-simplify]: Simplify (- 0) into 0 3.454 * [backup-simplify]: Simplify (+ 0 0) into 0 3.455 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.455 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.455 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.455 * [taylor]: Taking taylor expansion of 2 in n 3.455 * [backup-simplify]: Simplify 2 into 2 3.455 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.455 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.455 * [taylor]: Taking taylor expansion of n in n 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify 1 into 1 3.455 * [backup-simplify]: Simplify (* 1 1) into 1 3.456 * [backup-simplify]: Simplify (/ 1 1) into 1 3.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.458 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.458 * [backup-simplify]: Simplify (- 0) into 0 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.459 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.459 * [backup-simplify]: Simplify (- 0) into 0 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.460 * [backup-simplify]: Simplify (+ 0 0) into 0 3.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.461 * [backup-simplify]: Simplify (- 0) into 0 3.461 * [backup-simplify]: Simplify (+ 0 0) into 0 3.462 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.462 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.462 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.462 * [taylor]: Taking taylor expansion of 2 in n 3.462 * [backup-simplify]: Simplify 2 into 2 3.462 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.462 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.462 * [taylor]: Taking taylor expansion of n in n 3.462 * [backup-simplify]: Simplify 0 into 0 3.462 * [backup-simplify]: Simplify 1 into 1 3.463 * [backup-simplify]: Simplify (* 1 1) into 1 3.463 * [backup-simplify]: Simplify (* 1 1) into 1 3.463 * [backup-simplify]: Simplify (/ 1 1) into 1 3.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.468 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.468 * [backup-simplify]: Simplify (- 0) into 0 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify -1 into -1 3.468 * * * [progress]: simplifying candidates 3.475 * [simplify]: Simplifying: (* (- (log (- (+ f n))) (log (- f n))) 3) (* (log (/ (- (+ f n)) (- f n))) 3) (* (log (/ (- (+ f n)) (- f n))) 3) (* 1 3) (pow (/ (- (+ f n)) (- f n)) (* (cbrt 3) (cbrt 3))) (pow (/ (- (+ f n)) (- f n)) (sqrt 3)) (pow (/ (- (+ f n)) (- f n)) 1) (pow (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) 3) (pow (cbrt (/ (- (+ f n)) (- f n))) 3) (pow (sqrt (/ (- (+ f n)) (- f n))) 3) (pow (sqrt (/ (- (+ f n)) (- f n))) 3) (pow (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (cbrt (- (+ f n))) (cbrt (- f n))) 3) (pow (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) 3) (pow (/ (cbrt (- (+ f n))) (sqrt (- f n))) 3) (pow (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) 3) (pow (/ (cbrt (- 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(- (+ f n)) (- f n)) 3)) (cbrt (pow (/ (- (+ f n)) (- f n)) (/ 3 2))) (cbrt (pow (/ (- (+ f n)) (- f n)) (/ 3 2))) (cbrt (pow (- (+ f n)) 3)) (cbrt (pow (- f n) 3)) (* (cbrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3)))) (cbrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (* (* (cbrt (pow (/ (- (+ f n)) (- f n)) 3)) (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (sqrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (sqrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) 1 -1 -1 1 -1 -1 (* -1 (cbrt -1)) (cbrt -1) -1 3.485 * * [simplify]: Extracting # 0 : cost 0 3.485 * * [simplify]: Extracting # 1 : cost 0 3.486 * * [simplify]: Extracting # 2 : cost 0 3.486 * * [simplify]: Extracting # 3 : cost 0 3.487 * * [simplify]: Extracting # 4 : cost 0 3.487 * * [simplify]: Extracting # 5 : cost 0 3.488 * * [simplify]: Extracting # 6 : cost 0 3.488 * * [simplify]: Extracting # 7 : cost 0 3.489 * * [simplify]: iteration 0 : 318 enodes (cost 8107 ) 3.609 * * [simplify]: Extracting # 0 : cost 0 3.610 * * [simplify]: Extracting # 1 : cost 0 3.612 * * [simplify]: Extracting # 2 : cost 0 3.613 * * [simplify]: Extracting # 3 : cost 0 3.614 * * [simplify]: Extracting # 4 : cost 0 3.615 * * [simplify]: iteration 1 : 944 enodes (cost 6800 ) 3.921 * * [simplify]: Extracting # 0 : cost 0 3.925 * * [simplify]: Extracting # 1 : cost 0 3.928 * * [simplify]: Extracting # 2 : cost 0 3.936 * * [simplify]: Extracting # 3 : cost 0 3.939 * * [simplify]: Extracting # 4 : cost 0 3.942 * * [simplify]: iteration 2 : 2858 enodes (cost 6258 ) 4.568 * * [simplify]: Extracting # 0 : cost 0 4.574 * * [simplify]: Extracting # 1 : cost 0 4.580 * * [simplify]: Extracting # 2 : cost 0 4.586 * * [simplify]: Extracting # 3 : cost 0 4.592 * * [simplify]: Extracting # 4 : cost 0 4.598 * * [simplify]: iteration done: 5000 enodes (cost 6258 ) 4.600 * [simplify]: Simplified to: (log (pow (/ (- (+ f n)) (- f n)) 3)) (log (pow (/ (- (+ f n)) (- f n)) 3)) (log (pow (/ (- 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n)) (- f n)) 2)) (- (cbrt (/ (+ f n) (- f n)))) (/ (cbrt (* (+ f n) (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (cbrt (* (+ f n) (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (cbrt (* (+ f n) (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (cbrt (* (+ f n) (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (cbrt (/ 1 (* (- f n) (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (- (/ (+ f n) (- (sqrt f) (sqrt n)))) 1 (/ (- (+ f n)) (- f n)) (cbrt (/ 1 (* (- f n) (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (- (/ (+ f n) (- (sqrt f) (sqrt n)))) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (- (+ f n)) (/ 1 (- f n)) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (+ (* n (+ f n)) (* f f)) (/ (- (+ f n)) (- (* f f) (* n n))) (+ f n) (- (cbrt (/ (+ f n) (- f n)))) (cbrt (pow (/ (- (+ f n)) (- f n)) 2)) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) 1 (/ (- (+ f n)) (- f n)) (cbrt (pow (/ (- (+ f n)) (- f n)) 3/2)) (cbrt (pow (/ (- (+ f n)) (- f n)) 3/2)) (- (+ f n)) (- f n) (cbrt (pow (/ (- (+ f n)) (- f n)) 2)) (- (cbrt (/ (+ f n) (- f n)))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) 1 -1 -1 1 -1 -1 1 -1 -1 4.609 * * * [progress]: adding candidates to table 5.019 * * [progress]: iteration 3 / 4 5.019 * * * [progress]: picking best candidate 5.023 * * * * [pick]: Picked # 5.023 * * * [progress]: localizing error 5.032 * * * [progress]: generating rewritten candidates 5.032 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 5.093 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.118 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.122 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 5.139 * * * [progress]: generating series expansions 5.139 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 5.139 * [backup-simplify]: Simplify (* (- (+ f n)) (/ 1 (- f n))) into (* -1 (/ (+ n f) (- f n))) 5.139 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 5.139 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 5.139 * [taylor]: Taking taylor expansion of -1 in n 5.139 * [backup-simplify]: Simplify -1 into -1 5.139 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.139 * [taylor]: Taking taylor expansion of (+ n f) in n 5.140 * [taylor]: Taking taylor expansion of n in n 5.140 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify 1 into 1 5.140 * [taylor]: Taking taylor expansion of f in n 5.140 * [backup-simplify]: Simplify f into f 5.140 * [taylor]: Taking taylor expansion of (- f n) in n 5.140 * [taylor]: Taking taylor expansion of f in n 5.140 * [backup-simplify]: Simplify f into f 5.140 * [taylor]: Taking taylor expansion of n in n 5.140 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify 1 into 1 5.140 * [backup-simplify]: Simplify (+ 0 f) into f 5.140 * [backup-simplify]: Simplify (- 0) into 0 5.140 * [backup-simplify]: Simplify (+ f 0) into f 5.140 * [backup-simplify]: Simplify (/ f f) into 1 5.140 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.140 * [taylor]: Taking taylor expansion of -1 in f 5.140 * [backup-simplify]: Simplify -1 into -1 5.140 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.140 * [taylor]: Taking taylor expansion of (+ n f) in f 5.140 * [taylor]: Taking taylor expansion of n in f 5.140 * [backup-simplify]: Simplify n into n 5.140 * [taylor]: Taking taylor expansion of f in f 5.140 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify 1 into 1 5.140 * [taylor]: Taking taylor expansion of (- f n) in f 5.140 * [taylor]: Taking taylor expansion of f in f 5.140 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify 1 into 1 5.140 * [taylor]: Taking taylor expansion of n in f 5.140 * [backup-simplify]: Simplify n into n 5.140 * [backup-simplify]: Simplify (+ n 0) into n 5.141 * [backup-simplify]: Simplify (- n) into (- n) 5.141 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.141 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.141 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.141 * [taylor]: Taking taylor expansion of -1 in f 5.141 * [backup-simplify]: Simplify -1 into -1 5.141 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.141 * [taylor]: Taking taylor expansion of (+ n f) in f 5.141 * [taylor]: Taking taylor expansion of n in f 5.141 * [backup-simplify]: Simplify n into n 5.141 * [taylor]: Taking taylor expansion of f in f 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [backup-simplify]: Simplify 1 into 1 5.141 * [taylor]: Taking taylor expansion of (- f n) in f 5.141 * [taylor]: Taking taylor expansion of f in f 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [backup-simplify]: Simplify 1 into 1 5.141 * [taylor]: Taking taylor expansion of n in f 5.141 * [backup-simplify]: Simplify n into n 5.141 * [backup-simplify]: Simplify (+ n 0) into n 5.141 * [backup-simplify]: Simplify (- n) into (- n) 5.141 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.141 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.141 * [backup-simplify]: Simplify (* -1 -1) into 1 5.141 * [taylor]: Taking taylor expansion of 1 in n 5.141 * [backup-simplify]: Simplify 1 into 1 5.141 * [backup-simplify]: Simplify 1 into 1 5.142 * [backup-simplify]: Simplify (+ 0 1) into 1 5.142 * [backup-simplify]: Simplify (- 0) into 0 5.142 * [backup-simplify]: Simplify (+ 1 0) into 1 5.142 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.143 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.143 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.143 * [taylor]: Taking taylor expansion of 2 in n 5.143 * [backup-simplify]: Simplify 2 into 2 5.143 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.143 * [taylor]: Taking taylor expansion of n in n 5.143 * [backup-simplify]: Simplify 0 into 0 5.143 * [backup-simplify]: Simplify 1 into 1 5.143 * [backup-simplify]: Simplify (/ 1 1) into 1 5.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.144 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify (+ 0 0) into 0 5.144 * [backup-simplify]: Simplify (- 0) into 0 5.144 * [backup-simplify]: Simplify (+ 0 0) into 0 5.145 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.145 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.145 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.145 * [taylor]: Taking taylor expansion of 2 in n 5.145 * [backup-simplify]: Simplify 2 into 2 5.145 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.145 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.145 * [taylor]: Taking taylor expansion of n in n 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [backup-simplify]: Simplify (* 1 1) into 1 5.146 * [backup-simplify]: Simplify (/ 1 1) into 1 5.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.148 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.148 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.149 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.149 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify (+ 0 0) into 0 5.150 * [backup-simplify]: Simplify (- 0) into 0 5.150 * [backup-simplify]: Simplify (+ 0 0) into 0 5.150 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 5.151 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 5.151 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.151 * [taylor]: Taking taylor expansion of 2 in n 5.151 * [backup-simplify]: Simplify 2 into 2 5.151 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.151 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.151 * [taylor]: Taking taylor expansion of n in n 5.151 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify 1 into 1 5.151 * [backup-simplify]: Simplify (* 1 1) into 1 5.151 * [backup-simplify]: Simplify (* 1 1) into 1 5.152 * [backup-simplify]: Simplify (/ 1 1) into 1 5.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.156 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.157 * [backup-simplify]: Simplify 0 into 0 5.157 * [backup-simplify]: Simplify 1 into 1 5.157 * [backup-simplify]: Simplify (* (- (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 5.157 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 5.157 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.157 * [taylor]: Taking taylor expansion of -1 in n 5.157 * [backup-simplify]: Simplify -1 into -1 5.157 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.157 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.157 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.157 * [taylor]: Taking taylor expansion of f in n 5.157 * [backup-simplify]: Simplify f into f 5.157 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.157 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.157 * [taylor]: Taking taylor expansion of n in n 5.157 * [backup-simplify]: Simplify 0 into 0 5.157 * [backup-simplify]: Simplify 1 into 1 5.157 * [backup-simplify]: Simplify (/ 1 1) into 1 5.157 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.157 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.157 * [taylor]: Taking taylor expansion of f in n 5.157 * [backup-simplify]: Simplify f into f 5.157 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.157 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.157 * [taylor]: Taking taylor expansion of n in n 5.157 * [backup-simplify]: Simplify 0 into 0 5.157 * [backup-simplify]: Simplify 1 into 1 5.158 * [backup-simplify]: Simplify (/ 1 1) into 1 5.158 * [backup-simplify]: Simplify (+ 0 1) into 1 5.158 * [backup-simplify]: Simplify (- 1) into -1 5.158 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.159 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.159 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.159 * [taylor]: Taking taylor expansion of -1 in f 5.159 * [backup-simplify]: Simplify -1 into -1 5.159 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.159 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.159 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.159 * [taylor]: Taking taylor expansion of f in f 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify 1 into 1 5.159 * [backup-simplify]: Simplify (/ 1 1) into 1 5.159 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.159 * [taylor]: Taking taylor expansion of n in f 5.159 * [backup-simplify]: Simplify n into n 5.159 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.159 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.159 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.159 * [taylor]: Taking taylor expansion of f in f 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify 1 into 1 5.159 * [backup-simplify]: Simplify (/ 1 1) into 1 5.159 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.159 * [taylor]: Taking taylor expansion of n in f 5.159 * [backup-simplify]: Simplify n into n 5.160 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.160 * [backup-simplify]: Simplify (+ 1 0) into 1 5.160 * [backup-simplify]: Simplify (+ 1 0) into 1 5.160 * [backup-simplify]: Simplify (/ 1 1) into 1 5.160 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.160 * [taylor]: Taking taylor expansion of -1 in f 5.160 * [backup-simplify]: Simplify -1 into -1 5.160 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.160 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.160 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.160 * [taylor]: Taking taylor expansion of f in f 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 1 into 1 5.161 * [backup-simplify]: Simplify (/ 1 1) into 1 5.161 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.161 * [taylor]: Taking taylor expansion of n in f 5.161 * [backup-simplify]: Simplify n into n 5.161 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.161 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.161 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.161 * [taylor]: Taking taylor expansion of f in f 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify 1 into 1 5.161 * [backup-simplify]: Simplify (/ 1 1) into 1 5.161 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.161 * [taylor]: Taking taylor expansion of n in f 5.161 * [backup-simplify]: Simplify n into n 5.161 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.161 * [backup-simplify]: Simplify (+ 1 0) into 1 5.162 * [backup-simplify]: Simplify (+ 1 0) into 1 5.162 * [backup-simplify]: Simplify (/ 1 1) into 1 5.162 * [backup-simplify]: Simplify (* -1 1) into -1 5.162 * [taylor]: Taking taylor expansion of -1 in n 5.162 * [backup-simplify]: Simplify -1 into -1 5.162 * [backup-simplify]: Simplify -1 into -1 5.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.163 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.163 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.163 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.163 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.164 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.164 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.164 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.164 * [taylor]: Taking taylor expansion of 2 in n 5.164 * [backup-simplify]: Simplify 2 into 2 5.164 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.164 * [taylor]: Taking taylor expansion of n in n 5.164 * [backup-simplify]: Simplify 0 into 0 5.164 * [backup-simplify]: Simplify 1 into 1 5.164 * [backup-simplify]: Simplify (/ 1 1) into 1 5.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.165 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.165 * [backup-simplify]: Simplify (- 0) into 0 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify 0 into 0 5.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.166 * [backup-simplify]: Simplify (+ 0 0) into 0 5.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.167 * [backup-simplify]: Simplify (- 0) into 0 5.167 * [backup-simplify]: Simplify (+ 0 0) into 0 5.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.168 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 5.168 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.168 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.168 * [taylor]: Taking taylor expansion of 2 in n 5.168 * [backup-simplify]: Simplify 2 into 2 5.168 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.168 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.168 * [taylor]: Taking taylor expansion of n in n 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 1 into 1 5.168 * [backup-simplify]: Simplify (* 1 1) into 1 5.169 * [backup-simplify]: Simplify (/ 1 1) into 1 5.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.171 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.171 * [backup-simplify]: Simplify (- 0) into 0 5.171 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.172 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.172 * [backup-simplify]: Simplify (- 0) into 0 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.173 * [backup-simplify]: Simplify (+ 0 0) into 0 5.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.174 * [backup-simplify]: Simplify (- 0) into 0 5.174 * [backup-simplify]: Simplify (+ 0 0) into 0 5.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 5.179 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.179 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.179 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.179 * [taylor]: Taking taylor expansion of 2 in n 5.179 * [backup-simplify]: Simplify 2 into 2 5.179 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.179 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.179 * [taylor]: Taking taylor expansion of n in n 5.179 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify 1 into 1 5.180 * [backup-simplify]: Simplify (* 1 1) into 1 5.180 * [backup-simplify]: Simplify (* 1 1) into 1 5.180 * [backup-simplify]: Simplify (/ 1 1) into 1 5.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.185 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.185 * [backup-simplify]: Simplify (- 0) into 0 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify -1 into -1 5.185 * [backup-simplify]: Simplify (* (- (+ (/ 1 (- f)) (/ 1 (- n)))) (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 5.185 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.185 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.185 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.185 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.185 * [taylor]: Taking taylor expansion of f in n 5.185 * [backup-simplify]: Simplify f into f 5.185 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.185 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.185 * [taylor]: Taking taylor expansion of n in n 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify 1 into 1 5.186 * [backup-simplify]: Simplify (/ 1 1) into 1 5.186 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.186 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.186 * [taylor]: Taking taylor expansion of n in n 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 1 into 1 5.186 * [backup-simplify]: Simplify (/ 1 1) into 1 5.186 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.186 * [taylor]: Taking taylor expansion of f in n 5.186 * [backup-simplify]: Simplify f into f 5.186 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.186 * [backup-simplify]: Simplify (+ 0 1) into 1 5.186 * [backup-simplify]: Simplify (+ 1 0) into 1 5.187 * [backup-simplify]: Simplify (/ 1 1) into 1 5.187 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.187 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.187 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.187 * [taylor]: Taking taylor expansion of f in f 5.187 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify 1 into 1 5.187 * [backup-simplify]: Simplify (/ 1 1) into 1 5.187 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.187 * [taylor]: Taking taylor expansion of n in f 5.187 * [backup-simplify]: Simplify n into n 5.187 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.187 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.187 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.187 * [taylor]: Taking taylor expansion of n in f 5.187 * [backup-simplify]: Simplify n into n 5.187 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.187 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.187 * [taylor]: Taking taylor expansion of f in f 5.187 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify 1 into 1 5.187 * [backup-simplify]: Simplify (/ 1 1) into 1 5.188 * [backup-simplify]: Simplify (+ 1 0) into 1 5.188 * [backup-simplify]: Simplify (- 1) into -1 5.188 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.188 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.188 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.188 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.188 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.188 * [taylor]: Taking taylor expansion of f in f 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (/ 1 1) into 1 5.189 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.189 * [taylor]: Taking taylor expansion of n in f 5.189 * [backup-simplify]: Simplify n into n 5.189 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.189 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.189 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.189 * [taylor]: Taking taylor expansion of n in f 5.189 * [backup-simplify]: Simplify n into n 5.189 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.189 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.189 * [taylor]: Taking taylor expansion of f in f 5.189 * [backup-simplify]: Simplify 0 into 0 5.189 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (/ 1 1) into 1 5.189 * [backup-simplify]: Simplify (+ 1 0) into 1 5.190 * [backup-simplify]: Simplify (- 1) into -1 5.190 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.190 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.190 * [taylor]: Taking taylor expansion of -1 in n 5.190 * [backup-simplify]: Simplify -1 into -1 5.190 * [backup-simplify]: Simplify -1 into -1 5.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.191 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.191 * [backup-simplify]: Simplify (- 0) into 0 5.191 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.191 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.192 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.192 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.192 * [taylor]: Taking taylor expansion of 2 in n 5.192 * [backup-simplify]: Simplify 2 into 2 5.192 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.192 * [taylor]: Taking taylor expansion of n in n 5.192 * [backup-simplify]: Simplify 0 into 0 5.192 * [backup-simplify]: Simplify 1 into 1 5.192 * [backup-simplify]: Simplify (/ 1 1) into 1 5.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.193 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.193 * [backup-simplify]: Simplify (- 0) into 0 5.193 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.194 * [backup-simplify]: Simplify (+ 0 0) into 0 5.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.195 * [backup-simplify]: Simplify (- 0) into 0 5.195 * [backup-simplify]: Simplify (+ 0 0) into 0 5.195 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.195 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.195 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.195 * [taylor]: Taking taylor expansion of 2 in n 5.196 * [backup-simplify]: Simplify 2 into 2 5.196 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.196 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.196 * [taylor]: Taking taylor expansion of n in n 5.196 * [backup-simplify]: Simplify 0 into 0 5.196 * [backup-simplify]: Simplify 1 into 1 5.196 * [backup-simplify]: Simplify (* 1 1) into 1 5.196 * [backup-simplify]: Simplify (/ 1 1) into 1 5.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.198 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.199 * [backup-simplify]: Simplify (- 0) into 0 5.199 * [backup-simplify]: Simplify 0 into 0 5.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.200 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.200 * [backup-simplify]: Simplify (- 0) into 0 5.200 * [backup-simplify]: Simplify 0 into 0 5.200 * [backup-simplify]: Simplify 0 into 0 5.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.201 * [backup-simplify]: Simplify (+ 0 0) into 0 5.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.202 * [backup-simplify]: Simplify (- 0) into 0 5.202 * [backup-simplify]: Simplify (+ 0 0) into 0 5.203 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.203 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.203 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.203 * [taylor]: Taking taylor expansion of 2 in n 5.203 * [backup-simplify]: Simplify 2 into 2 5.203 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.203 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.203 * [taylor]: Taking taylor expansion of n in n 5.203 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify 1 into 1 5.203 * [backup-simplify]: Simplify (* 1 1) into 1 5.204 * [backup-simplify]: Simplify (* 1 1) into 1 5.204 * [backup-simplify]: Simplify (/ 1 1) into 1 5.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.209 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.209 * [backup-simplify]: Simplify (- 0) into 0 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify -1 into -1 5.209 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.209 * [backup-simplify]: Simplify (pow (* (- (+ f n)) (/ 1 (- f n))) 3) into (pow (* -1 (/ (+ n f) (- f n))) 3) 5.209 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in (f n) around 0 5.209 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in n 5.209 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 5.209 * [taylor]: Taking taylor expansion of -1 in n 5.209 * [backup-simplify]: Simplify -1 into -1 5.209 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.209 * [taylor]: Taking taylor expansion of (+ n f) in n 5.209 * [taylor]: Taking taylor expansion of n in n 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify 1 into 1 5.209 * [taylor]: Taking taylor expansion of f in n 5.209 * [backup-simplify]: Simplify f into f 5.209 * [taylor]: Taking taylor expansion of (- f n) in n 5.209 * [taylor]: Taking taylor expansion of f in n 5.209 * [backup-simplify]: Simplify f into f 5.209 * [taylor]: Taking taylor expansion of n in n 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 1 into 1 5.210 * [backup-simplify]: Simplify (+ 0 f) into f 5.210 * [backup-simplify]: Simplify (- 0) into 0 5.210 * [backup-simplify]: Simplify (+ f 0) into f 5.210 * [backup-simplify]: Simplify (/ f f) into 1 5.210 * [backup-simplify]: Simplify (* -1 1) into -1 5.210 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 5.210 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.210 * [taylor]: Taking taylor expansion of -1 in f 5.210 * [backup-simplify]: Simplify -1 into -1 5.210 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.210 * [taylor]: Taking taylor expansion of (+ n f) in f 5.210 * [taylor]: Taking taylor expansion of n in f 5.210 * [backup-simplify]: Simplify n into n 5.210 * [taylor]: Taking taylor expansion of f in f 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 1 into 1 5.210 * [taylor]: Taking taylor expansion of (- f n) in f 5.210 * [taylor]: Taking taylor expansion of f in f 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 1 into 1 5.210 * [taylor]: Taking taylor expansion of n in f 5.210 * [backup-simplify]: Simplify n into n 5.210 * [backup-simplify]: Simplify (+ n 0) into n 5.210 * [backup-simplify]: Simplify (- n) into (- n) 5.210 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.211 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.211 * [backup-simplify]: Simplify (* -1 -1) into 1 5.211 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 5.211 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.211 * [taylor]: Taking taylor expansion of -1 in f 5.211 * [backup-simplify]: Simplify -1 into -1 5.211 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.211 * [taylor]: Taking taylor expansion of (+ n f) in f 5.211 * [taylor]: Taking taylor expansion of n in f 5.211 * [backup-simplify]: Simplify n into n 5.211 * [taylor]: Taking taylor expansion of f in f 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify 1 into 1 5.211 * [taylor]: Taking taylor expansion of (- f n) in f 5.211 * [taylor]: Taking taylor expansion of f in f 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify 1 into 1 5.211 * [taylor]: Taking taylor expansion of n in f 5.211 * [backup-simplify]: Simplify n into n 5.211 * [backup-simplify]: Simplify (+ n 0) into n 5.211 * [backup-simplify]: Simplify (- n) into (- n) 5.211 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.211 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.211 * [backup-simplify]: Simplify (* -1 -1) into 1 5.212 * [backup-simplify]: Simplify (* 1 1) into 1 5.212 * [backup-simplify]: Simplify (* 1 1) into 1 5.212 * [taylor]: Taking taylor expansion of 1 in n 5.212 * [backup-simplify]: Simplify 1 into 1 5.212 * [backup-simplify]: Simplify 1 into 1 5.212 * [backup-simplify]: Simplify (+ 0 1) into 1 5.212 * [backup-simplify]: Simplify (- 0) into 0 5.213 * [backup-simplify]: Simplify (+ 1 0) into 1 5.213 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.213 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.213 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 4 (/ 1 n)) 5.213 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 6 (/ 1 n)) 5.213 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 5.213 * [taylor]: Taking taylor expansion of 6 in n 5.213 * [backup-simplify]: Simplify 6 into 6 5.213 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.213 * [taylor]: Taking taylor expansion of n in n 5.213 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify 1 into 1 5.214 * [backup-simplify]: Simplify (/ 1 1) into 1 5.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.214 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 5.214 * [backup-simplify]: Simplify 0 into 0 5.215 * [backup-simplify]: Simplify 0 into 0 5.215 * [backup-simplify]: Simplify (+ 0 0) into 0 5.215 * [backup-simplify]: Simplify (- 0) into 0 5.215 * [backup-simplify]: Simplify (+ 0 0) into 0 5.215 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.216 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.216 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 n)) (* 2 (/ 1 n))) (* (* 2 (/ 1 (pow n 2))) 1))) into (* 8 (/ 1 (pow n 2))) 5.217 * [backup-simplify]: Simplify (+ (* 1 (* 8 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 n)) (* 4 (/ 1 n))) (* (* 2 (/ 1 (pow n 2))) 1))) into (* 18 (/ 1 (pow n 2))) 5.217 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 5.217 * [taylor]: Taking taylor expansion of 18 in n 5.217 * [backup-simplify]: Simplify 18 into 18 5.217 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.217 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.217 * [taylor]: Taking taylor expansion of n in n 5.217 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify 1 into 1 5.217 * [backup-simplify]: Simplify (* 1 1) into 1 5.217 * [backup-simplify]: Simplify (/ 1 1) into 1 5.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.219 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 5.219 * [backup-simplify]: Simplify 0 into 0 5.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.220 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 5.220 * [backup-simplify]: Simplify 0 into 0 5.220 * [backup-simplify]: Simplify 0 into 0 5.221 * [backup-simplify]: Simplify (+ 0 0) into 0 5.221 * [backup-simplify]: Simplify (- 0) into 0 5.221 * [backup-simplify]: Simplify (+ 0 0) into 0 5.221 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 5.222 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 5.223 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow n 3)))) (+ (* (* 2 (/ 1 n)) (* 2 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 (pow n 2))) (* 2 (/ 1 n))) (* (* 2 (/ 1 (pow n 3))) 1)))) into (* 12 (/ 1 (pow n 3))) 5.223 * [backup-simplify]: Simplify (+ (* 1 (* 12 (/ 1 (pow n 3)))) (+ (* (* 2 (/ 1 n)) (* 8 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 (pow n 2))) (* 4 (/ 1 n))) (* (* 2 (/ 1 (pow n 3))) 1)))) into (* 38 (/ 1 (pow n 3))) 5.223 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 5.223 * [taylor]: Taking taylor expansion of 38 in n 5.223 * [backup-simplify]: Simplify 38 into 38 5.223 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.223 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.223 * [taylor]: Taking taylor expansion of n in n 5.223 * [backup-simplify]: Simplify 0 into 0 5.223 * [backup-simplify]: Simplify 1 into 1 5.223 * [backup-simplify]: Simplify (* 1 1) into 1 5.224 * [backup-simplify]: Simplify (* 1 1) into 1 5.224 * [backup-simplify]: Simplify (/ 1 1) into 1 5.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.228 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.228 * [backup-simplify]: Simplify 0 into 0 5.228 * [backup-simplify]: Simplify 1 into 1 5.229 * [backup-simplify]: Simplify (pow (* (- (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) 3) into (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) 5.229 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in (f n) around 0 5.229 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in n 5.229 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.229 * [taylor]: Taking taylor expansion of -1 in n 5.229 * [backup-simplify]: Simplify -1 into -1 5.229 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.229 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.229 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.229 * [taylor]: Taking taylor expansion of f in n 5.229 * [backup-simplify]: Simplify f into f 5.229 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.229 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.229 * [taylor]: Taking taylor expansion of n in n 5.229 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify 1 into 1 5.229 * [backup-simplify]: Simplify (/ 1 1) into 1 5.229 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.229 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.229 * [taylor]: Taking taylor expansion of f in n 5.229 * [backup-simplify]: Simplify f into f 5.229 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.229 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.229 * [taylor]: Taking taylor expansion of n in n 5.229 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify 1 into 1 5.230 * [backup-simplify]: Simplify (/ 1 1) into 1 5.230 * [backup-simplify]: Simplify (+ 0 1) into 1 5.230 * [backup-simplify]: Simplify (- 1) into -1 5.230 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.231 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.231 * [backup-simplify]: Simplify (* -1 -1) into 1 5.231 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 5.231 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.231 * [taylor]: Taking taylor expansion of -1 in f 5.231 * [backup-simplify]: Simplify -1 into -1 5.231 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.231 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.231 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.231 * [taylor]: Taking taylor expansion of f in f 5.231 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify 1 into 1 5.231 * [backup-simplify]: Simplify (/ 1 1) into 1 5.231 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.231 * [taylor]: Taking taylor expansion of n in f 5.231 * [backup-simplify]: Simplify n into n 5.231 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.231 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.231 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.231 * [taylor]: Taking taylor expansion of f in f 5.231 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify 1 into 1 5.232 * [backup-simplify]: Simplify (/ 1 1) into 1 5.232 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.232 * [taylor]: Taking taylor expansion of n in f 5.232 * [backup-simplify]: Simplify n into n 5.232 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.232 * [backup-simplify]: Simplify (+ 1 0) into 1 5.232 * [backup-simplify]: Simplify (+ 1 0) into 1 5.232 * [backup-simplify]: Simplify (/ 1 1) into 1 5.233 * [backup-simplify]: Simplify (* -1 1) into -1 5.233 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 5.233 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.233 * [taylor]: Taking taylor expansion of -1 in f 5.233 * [backup-simplify]: Simplify -1 into -1 5.233 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.233 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.233 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.233 * [taylor]: Taking taylor expansion of f in f 5.233 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify 1 into 1 5.233 * [backup-simplify]: Simplify (/ 1 1) into 1 5.233 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.233 * [taylor]: Taking taylor expansion of n in f 5.233 * [backup-simplify]: Simplify n into n 5.233 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.233 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.233 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.233 * [taylor]: Taking taylor expansion of f in f 5.233 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify 1 into 1 5.233 * [backup-simplify]: Simplify (/ 1 1) into 1 5.233 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.233 * [taylor]: Taking taylor expansion of n in f 5.233 * [backup-simplify]: Simplify n into n 5.233 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.234 * [backup-simplify]: Simplify (+ 1 0) into 1 5.234 * [backup-simplify]: Simplify (+ 1 0) into 1 5.234 * [backup-simplify]: Simplify (/ 1 1) into 1 5.234 * [backup-simplify]: Simplify (* -1 1) into -1 5.235 * [backup-simplify]: Simplify (* -1 -1) into 1 5.235 * [backup-simplify]: Simplify (* -1 1) into -1 5.235 * [taylor]: Taking taylor expansion of -1 in n 5.235 * [backup-simplify]: Simplify -1 into -1 5.235 * [backup-simplify]: Simplify -1 into -1 5.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.236 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.236 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.236 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.236 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.236 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.237 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) 5.237 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 n))) (* (- (* 2 (/ 1 n))) 1)) into (- (* 6 (/ 1 n))) 5.237 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 5.237 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 5.237 * [taylor]: Taking taylor expansion of 6 in n 5.237 * [backup-simplify]: Simplify 6 into 6 5.237 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.237 * [taylor]: Taking taylor expansion of n in n 5.237 * [backup-simplify]: Simplify 0 into 0 5.237 * [backup-simplify]: Simplify 1 into 1 5.237 * [backup-simplify]: Simplify (/ 1 1) into 1 5.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.238 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 5.238 * [backup-simplify]: Simplify (- 0) into 0 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify 0 into 0 5.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.239 * [backup-simplify]: Simplify (+ 0 0) into 0 5.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.240 * [backup-simplify]: Simplify (- 0) into 0 5.240 * [backup-simplify]: Simplify (+ 0 0) into 0 5.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.241 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 5.241 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 2)))) -1))) into (* 8 (/ 1 (pow n 2))) 5.242 * [backup-simplify]: Simplify (+ (* -1 (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 n))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 2)))) 1))) into (- (* 18 (/ 1 (pow n 2)))) 5.242 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 5.242 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 5.242 * [taylor]: Taking taylor expansion of 18 in n 5.242 * [backup-simplify]: Simplify 18 into 18 5.242 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.242 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.242 * [taylor]: Taking taylor expansion of n in n 5.242 * [backup-simplify]: Simplify 0 into 0 5.242 * [backup-simplify]: Simplify 1 into 1 5.242 * [backup-simplify]: Simplify (* 1 1) into 1 5.242 * [backup-simplify]: Simplify (/ 1 1) into 1 5.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.244 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 5.245 * [backup-simplify]: Simplify (- 0) into 0 5.245 * [backup-simplify]: Simplify 0 into 0 5.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.246 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 5.246 * [backup-simplify]: Simplify (- 0) into 0 5.246 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.247 * [backup-simplify]: Simplify (+ 0 0) into 0 5.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.248 * [backup-simplify]: Simplify (- 0) into 0 5.248 * [backup-simplify]: Simplify (+ 0 0) into 0 5.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 5.250 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.250 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 3)))) -1)))) into (* 12 (/ 1 (pow n 3))) 5.251 * [backup-simplify]: Simplify (+ (* -1 (* 12 (/ 1 (pow n 3)))) (+ (* (- (* 2 (/ 1 n))) (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 3)))) 1)))) into (- (* 38 (/ 1 (pow n 3)))) 5.251 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 5.251 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 5.251 * [taylor]: Taking taylor expansion of 38 in n 5.251 * [backup-simplify]: Simplify 38 into 38 5.251 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.251 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.251 * [taylor]: Taking taylor expansion of n in n 5.251 * [backup-simplify]: Simplify 0 into 0 5.251 * [backup-simplify]: Simplify 1 into 1 5.251 * [backup-simplify]: Simplify (* 1 1) into 1 5.251 * [backup-simplify]: Simplify (* 1 1) into 1 5.252 * [backup-simplify]: Simplify (/ 1 1) into 1 5.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.257 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.257 * [backup-simplify]: Simplify (- 0) into 0 5.257 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify -1 into -1 5.257 * [backup-simplify]: Simplify (pow (* (- (+ (/ 1 (- f)) (/ 1 (- n)))) (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))) 3) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) 5.257 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in (f n) around 0 5.257 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in n 5.258 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.258 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.258 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.258 * [taylor]: Taking taylor expansion of f in n 5.258 * [backup-simplify]: Simplify f into f 5.258 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.258 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.258 * [taylor]: Taking taylor expansion of n in n 5.258 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify 1 into 1 5.258 * [backup-simplify]: Simplify (/ 1 1) into 1 5.258 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.258 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.258 * [taylor]: Taking taylor expansion of n in n 5.258 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify 1 into 1 5.258 * [backup-simplify]: Simplify (/ 1 1) into 1 5.258 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.258 * [taylor]: Taking taylor expansion of f in n 5.258 * [backup-simplify]: Simplify f into f 5.258 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.259 * [backup-simplify]: Simplify (+ 0 1) into 1 5.259 * [backup-simplify]: Simplify (+ 1 0) into 1 5.259 * [backup-simplify]: Simplify (/ 1 1) into 1 5.259 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 5.259 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.259 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.259 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.259 * [taylor]: Taking taylor expansion of f in f 5.259 * [backup-simplify]: Simplify 0 into 0 5.259 * [backup-simplify]: Simplify 1 into 1 5.259 * [backup-simplify]: Simplify (/ 1 1) into 1 5.260 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.260 * [taylor]: Taking taylor expansion of n in f 5.260 * [backup-simplify]: Simplify n into n 5.260 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.260 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.260 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.260 * [taylor]: Taking taylor expansion of n in f 5.260 * [backup-simplify]: Simplify n into n 5.260 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.260 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.260 * [taylor]: Taking taylor expansion of f in f 5.260 * [backup-simplify]: Simplify 0 into 0 5.260 * [backup-simplify]: Simplify 1 into 1 5.260 * [backup-simplify]: Simplify (/ 1 1) into 1 5.260 * [backup-simplify]: Simplify (+ 1 0) into 1 5.260 * [backup-simplify]: Simplify (- 1) into -1 5.261 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.261 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.261 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 5.261 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.261 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.261 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.261 * [taylor]: Taking taylor expansion of f in f 5.261 * [backup-simplify]: Simplify 0 into 0 5.261 * [backup-simplify]: Simplify 1 into 1 5.261 * [backup-simplify]: Simplify (/ 1 1) into 1 5.261 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.261 * [taylor]: Taking taylor expansion of n in f 5.261 * [backup-simplify]: Simplify n into n 5.261 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.261 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.261 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.261 * [taylor]: Taking taylor expansion of n in f 5.261 * [backup-simplify]: Simplify n into n 5.261 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.261 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.261 * [taylor]: Taking taylor expansion of f in f 5.262 * [backup-simplify]: Simplify 0 into 0 5.262 * [backup-simplify]: Simplify 1 into 1 5.262 * [backup-simplify]: Simplify (/ 1 1) into 1 5.262 * [backup-simplify]: Simplify (+ 1 0) into 1 5.262 * [backup-simplify]: Simplify (- 1) into -1 5.262 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.263 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.263 * [backup-simplify]: Simplify (* -1 -1) into 1 5.263 * [backup-simplify]: Simplify (* -1 1) into -1 5.263 * [taylor]: Taking taylor expansion of -1 in n 5.263 * [backup-simplify]: Simplify -1 into -1 5.263 * [backup-simplify]: Simplify -1 into -1 5.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.264 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.264 * [backup-simplify]: Simplify (- 0) into 0 5.264 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.265 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.265 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) 5.265 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 n))) (* (- (* 2 (/ 1 n))) 1)) into (- (* 6 (/ 1 n))) 5.265 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 5.265 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 5.265 * [taylor]: Taking taylor expansion of 6 in n 5.265 * [backup-simplify]: Simplify 6 into 6 5.265 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.265 * [taylor]: Taking taylor expansion of n in n 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify 1 into 1 5.265 * [backup-simplify]: Simplify (/ 1 1) into 1 5.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.266 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 5.266 * [backup-simplify]: Simplify (- 0) into 0 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.267 * [backup-simplify]: Simplify (+ 0 0) into 0 5.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.268 * [backup-simplify]: Simplify (- 0) into 0 5.268 * [backup-simplify]: Simplify (+ 0 0) into 0 5.271 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.271 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 2)))) -1))) into (* 8 (/ 1 (pow n 2))) 5.272 * [backup-simplify]: Simplify (+ (* -1 (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 n))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 2)))) 1))) into (- (* 18 (/ 1 (pow n 2)))) 5.272 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 5.272 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 5.272 * [taylor]: Taking taylor expansion of 18 in n 5.272 * [backup-simplify]: Simplify 18 into 18 5.272 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.272 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.272 * [taylor]: Taking taylor expansion of n in n 5.272 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify 1 into 1 5.272 * [backup-simplify]: Simplify (* 1 1) into 1 5.272 * [backup-simplify]: Simplify (/ 1 1) into 1 5.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.275 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 5.275 * [backup-simplify]: Simplify (- 0) into 0 5.275 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.276 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 5.276 * [backup-simplify]: Simplify (- 0) into 0 5.276 * [backup-simplify]: Simplify 0 into 0 5.276 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.277 * [backup-simplify]: Simplify (+ 0 0) into 0 5.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.278 * [backup-simplify]: Simplify (- 0) into 0 5.278 * [backup-simplify]: Simplify (+ 0 0) into 0 5.279 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.280 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 3)))) -1)))) into (* 12 (/ 1 (pow n 3))) 5.280 * [backup-simplify]: Simplify (+ (* -1 (* 12 (/ 1 (pow n 3)))) (+ (* (- (* 2 (/ 1 n))) (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 3)))) 1)))) into (- (* 38 (/ 1 (pow n 3)))) 5.280 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 5.280 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 5.280 * [taylor]: Taking taylor expansion of 38 in n 5.280 * [backup-simplify]: Simplify 38 into 38 5.280 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.280 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.280 * [taylor]: Taking taylor expansion of n in n 5.280 * [backup-simplify]: Simplify 0 into 0 5.280 * [backup-simplify]: Simplify 1 into 1 5.281 * [backup-simplify]: Simplify (* 1 1) into 1 5.281 * [backup-simplify]: Simplify (* 1 1) into 1 5.281 * [backup-simplify]: Simplify (/ 1 1) into 1 5.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.286 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.286 * [backup-simplify]: Simplify (- 0) into 0 5.286 * [backup-simplify]: Simplify 0 into 0 5.286 * [backup-simplify]: Simplify -1 into -1 5.286 * * * * [progress]: [ 3 / 4 ] generating series at (2) 5.286 * [backup-simplify]: Simplify (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3)) into (/ (* (cbrt -1) (+ n f)) (- f n)) 5.286 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0 5.286 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 5.286 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 5.286 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.286 * [taylor]: Taking taylor expansion of -1 in n 5.286 * [backup-simplify]: Simplify -1 into -1 5.287 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.287 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.287 * [taylor]: Taking taylor expansion of (+ n f) in n 5.287 * [taylor]: Taking taylor expansion of n in n 5.287 * [backup-simplify]: Simplify 0 into 0 5.287 * [backup-simplify]: Simplify 1 into 1 5.287 * [taylor]: Taking taylor expansion of f in n 5.287 * [backup-simplify]: Simplify f into f 5.287 * [taylor]: Taking taylor expansion of (- f n) in n 5.287 * [taylor]: Taking taylor expansion of f in n 5.287 * [backup-simplify]: Simplify f into f 5.287 * [taylor]: Taking taylor expansion of n in n 5.287 * [backup-simplify]: Simplify 0 into 0 5.287 * [backup-simplify]: Simplify 1 into 1 5.287 * [backup-simplify]: Simplify (+ 0 f) into f 5.288 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 5.288 * [backup-simplify]: Simplify (- 0) into 0 5.288 * [backup-simplify]: Simplify (+ f 0) into f 5.288 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 5.288 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 5.288 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 5.288 * [taylor]: Taking taylor expansion of (cbrt -1) in f 5.288 * [taylor]: Taking taylor expansion of -1 in f 5.288 * [backup-simplify]: Simplify -1 into -1 5.289 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.289 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.289 * [taylor]: Taking taylor expansion of (+ n f) in f 5.289 * [taylor]: Taking taylor expansion of n in f 5.289 * [backup-simplify]: Simplify n into n 5.289 * [taylor]: Taking taylor expansion of f in f 5.289 * [backup-simplify]: Simplify 0 into 0 5.289 * [backup-simplify]: Simplify 1 into 1 5.289 * [taylor]: Taking taylor expansion of (- f n) in f 5.289 * [taylor]: Taking taylor expansion of f in f 5.289 * [backup-simplify]: Simplify 0 into 0 5.289 * [backup-simplify]: Simplify 1 into 1 5.289 * [taylor]: Taking taylor expansion of n in f 5.289 * [backup-simplify]: Simplify n into n 5.289 * [backup-simplify]: Simplify (+ n 0) into n 5.289 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 5.289 * [backup-simplify]: Simplify (- n) into (- n) 5.290 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.290 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 5.290 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 5.290 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 5.290 * [taylor]: Taking taylor expansion of (cbrt -1) in f 5.290 * [taylor]: Taking taylor expansion of -1 in f 5.290 * [backup-simplify]: Simplify -1 into -1 5.290 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.291 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.291 * [taylor]: Taking taylor expansion of (+ n f) in f 5.291 * [taylor]: Taking taylor expansion of n in f 5.291 * [backup-simplify]: Simplify n into n 5.291 * [taylor]: Taking taylor expansion of f in f 5.291 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify 1 into 1 5.291 * [taylor]: Taking taylor expansion of (- f n) in f 5.291 * [taylor]: Taking taylor expansion of f in f 5.291 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify 1 into 1 5.291 * [taylor]: Taking taylor expansion of n in f 5.291 * [backup-simplify]: Simplify n into n 5.291 * [backup-simplify]: Simplify (+ n 0) into n 5.291 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 5.291 * [backup-simplify]: Simplify (- n) into (- n) 5.291 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.291 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 5.292 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n 5.292 * [taylor]: Taking taylor expansion of -1 in n 5.292 * [backup-simplify]: Simplify -1 into -1 5.292 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.292 * [taylor]: Taking taylor expansion of -1 in n 5.292 * [backup-simplify]: Simplify -1 into -1 5.292 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.292 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.293 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 5.293 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 5.294 * [backup-simplify]: Simplify (+ 0 1) into 1 5.294 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 n)) into (cbrt -1) 5.294 * [backup-simplify]: Simplify (- 0) into 0 5.295 * [backup-simplify]: Simplify (+ 1 0) into 1 5.296 * [backup-simplify]: Simplify (- (/ (cbrt -1) (- n)) (+ (* (* -1 (cbrt -1)) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) n))) 5.296 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n 5.296 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 5.296 * [taylor]: Taking taylor expansion of 2 in n 5.296 * [backup-simplify]: Simplify 2 into 2 5.296 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 5.296 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.296 * [taylor]: Taking taylor expansion of -1 in n 5.296 * [backup-simplify]: Simplify -1 into -1 5.296 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.296 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.296 * [taylor]: Taking taylor expansion of n in n 5.296 * [backup-simplify]: Simplify 0 into 0 5.296 * [backup-simplify]: Simplify 1 into 1 5.297 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 5.298 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 5.298 * [backup-simplify]: Simplify (- 0) into 0 5.298 * [backup-simplify]: Simplify 0 into 0 5.299 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0 5.299 * [backup-simplify]: Simplify 0 into 0 5.299 * [backup-simplify]: Simplify (+ 0 0) into 0 5.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.300 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 n))) into 0 5.300 * [backup-simplify]: Simplify (- 0) into 0 5.301 * [backup-simplify]: Simplify (+ 0 0) into 0 5.302 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 2)))) 5.302 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n 5.302 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 5.302 * [taylor]: Taking taylor expansion of 2 in n 5.302 * [backup-simplify]: Simplify 2 into 2 5.302 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 5.302 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.302 * [taylor]: Taking taylor expansion of -1 in n 5.302 * [backup-simplify]: Simplify -1 into -1 5.302 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.303 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.303 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.303 * [taylor]: Taking taylor expansion of n in n 5.303 * [backup-simplify]: Simplify 0 into 0 5.303 * [backup-simplify]: Simplify 1 into 1 5.303 * [backup-simplify]: Simplify (* 1 1) into 1 5.303 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 5.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.307 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.307 * [backup-simplify]: Simplify (- 0) into 0 5.307 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.309 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.309 * [backup-simplify]: Simplify (- 0) into 0 5.309 * [backup-simplify]: Simplify 0 into 0 5.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.311 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.311 * [backup-simplify]: Simplify 0 into 0 5.311 * [backup-simplify]: Simplify (+ 0 0) into 0 5.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.313 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 n)))) into 0 5.313 * [backup-simplify]: Simplify (- 0) into 0 5.313 * [backup-simplify]: Simplify (+ 0 0) into 0 5.315 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 3)))) 5.315 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n 5.315 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 5.315 * [taylor]: Taking taylor expansion of 2 in n 5.315 * [backup-simplify]: Simplify 2 into 2 5.315 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 5.315 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.315 * [taylor]: Taking taylor expansion of -1 in n 5.315 * [backup-simplify]: Simplify -1 into -1 5.315 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.316 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.316 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.316 * [taylor]: Taking taylor expansion of n in n 5.316 * [backup-simplify]: Simplify 0 into 0 5.316 * [backup-simplify]: Simplify 1 into 1 5.316 * [backup-simplify]: Simplify (* 1 1) into 1 5.316 * [backup-simplify]: Simplify (* 1 1) into 1 5.317 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 5.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.324 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.324 * [backup-simplify]: Simplify (- 0) into 0 5.324 * [backup-simplify]: Simplify 0 into 0 5.324 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 5.325 * [backup-simplify]: Simplify (cbrt (pow (* (- (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) 3)) into (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 5.325 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 5.325 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n 5.325 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in n 5.325 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.325 * [taylor]: Taking taylor expansion of -1 in n 5.325 * [backup-simplify]: Simplify -1 into -1 5.325 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.326 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.326 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.326 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.326 * [taylor]: Taking taylor expansion of f in n 5.326 * [backup-simplify]: Simplify f into f 5.326 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.326 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.326 * [taylor]: Taking taylor expansion of n in n 5.326 * [backup-simplify]: Simplify 0 into 0 5.326 * [backup-simplify]: Simplify 1 into 1 5.326 * [backup-simplify]: Simplify (/ 1 1) into 1 5.326 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.326 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.326 * [taylor]: Taking taylor expansion of f in n 5.326 * [backup-simplify]: Simplify f into f 5.326 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.326 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.326 * [taylor]: Taking taylor expansion of n in n 5.326 * [backup-simplify]: Simplify 0 into 0 5.326 * [backup-simplify]: Simplify 1 into 1 5.326 * [backup-simplify]: Simplify (/ 1 1) into 1 5.327 * [backup-simplify]: Simplify (+ 0 1) into 1 5.327 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 5.327 * [backup-simplify]: Simplify (- 1) into -1 5.328 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.328 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 5.328 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 5.328 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 5.328 * [taylor]: Taking taylor expansion of (cbrt -1) in f 5.328 * [taylor]: Taking taylor expansion of -1 in f 5.328 * [backup-simplify]: Simplify -1 into -1 5.328 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.329 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.329 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.329 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.329 * [taylor]: Taking taylor expansion of f in f 5.329 * [backup-simplify]: Simplify 0 into 0 5.329 * [backup-simplify]: Simplify 1 into 1 5.329 * [backup-simplify]: Simplify (/ 1 1) into 1 5.329 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.329 * [taylor]: Taking taylor expansion of n in f 5.329 * [backup-simplify]: Simplify n into n 5.329 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.329 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.329 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.329 * [taylor]: Taking taylor expansion of f in f 5.329 * [backup-simplify]: Simplify 0 into 0 5.329 * [backup-simplify]: Simplify 1 into 1 5.330 * [backup-simplify]: Simplify (/ 1 1) into 1 5.330 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.330 * [taylor]: Taking taylor expansion of n in f 5.330 * [backup-simplify]: Simplify n into n 5.330 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.330 * [backup-simplify]: Simplify (+ 1 0) into 1 5.330 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 5.331 * [backup-simplify]: Simplify (+ 1 0) into 1 5.331 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.331 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 5.331 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 5.331 * [taylor]: Taking taylor expansion of (cbrt -1) in f 5.331 * [taylor]: Taking taylor expansion of -1 in f 5.331 * [backup-simplify]: Simplify -1 into -1 5.332 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.332 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.332 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.332 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.332 * [taylor]: Taking taylor expansion of f in f 5.332 * [backup-simplify]: Simplify 0 into 0 5.332 * [backup-simplify]: Simplify 1 into 1 5.332 * [backup-simplify]: Simplify (/ 1 1) into 1 5.332 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.332 * [taylor]: Taking taylor expansion of n in f 5.332 * [backup-simplify]: Simplify n into n 5.332 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.332 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.332 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.333 * [taylor]: Taking taylor expansion of f in f 5.333 * [backup-simplify]: Simplify 0 into 0 5.333 * [backup-simplify]: Simplify 1 into 1 5.333 * [backup-simplify]: Simplify (/ 1 1) into 1 5.333 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.333 * [taylor]: Taking taylor expansion of n in f 5.333 * [backup-simplify]: Simplify n into n 5.333 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.333 * [backup-simplify]: Simplify (+ 1 0) into 1 5.334 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 5.334 * [backup-simplify]: Simplify (+ 1 0) into 1 5.334 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.335 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.335 * [taylor]: Taking taylor expansion of -1 in n 5.335 * [backup-simplify]: Simplify -1 into -1 5.335 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.335 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.336 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.336 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.337 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 1 n)) (* 0 1)) into (/ (cbrt -1) n) 5.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.337 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.337 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.338 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) n) 1) (+ (* (cbrt -1) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) n)) 5.338 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 5.338 * [taylor]: Taking taylor expansion of 2 in n 5.338 * [backup-simplify]: Simplify 2 into 2 5.338 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 5.338 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.338 * [taylor]: Taking taylor expansion of -1 in n 5.338 * [backup-simplify]: Simplify -1 into -1 5.338 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.339 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.339 * [taylor]: Taking taylor expansion of n in n 5.339 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify 1 into 1 5.339 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 5.340 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 5.340 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.341 * [backup-simplify]: Simplify (+ 0 0) into 0 5.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.342 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 5.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.343 * [backup-simplify]: Simplify (- 0) into 0 5.343 * [backup-simplify]: Simplify (+ 0 0) into 0 5.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 2))) 5.345 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 5.345 * [taylor]: Taking taylor expansion of 2 in n 5.345 * [backup-simplify]: Simplify 2 into 2 5.345 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 5.345 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.345 * [taylor]: Taking taylor expansion of -1 in n 5.345 * [backup-simplify]: Simplify -1 into -1 5.345 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.345 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.345 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.345 * [taylor]: Taking taylor expansion of n in n 5.345 * [backup-simplify]: Simplify 0 into 0 5.345 * [backup-simplify]: Simplify 1 into 1 5.346 * [backup-simplify]: Simplify (* 1 1) into 1 5.346 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 5.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.349 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.349 * [backup-simplify]: Simplify 0 into 0 5.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.351 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.351 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.352 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.353 * [backup-simplify]: Simplify (+ 0 0) into 0 5.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.354 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 5.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.355 * [backup-simplify]: Simplify (- 0) into 0 5.355 * [backup-simplify]: Simplify (+ 0 0) into 0 5.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ 0 1)) (* (* 2 (/ (cbrt -1) (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 3))) 5.357 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 5.357 * [taylor]: Taking taylor expansion of 2 in n 5.357 * [backup-simplify]: Simplify 2 into 2 5.357 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 5.357 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.357 * [taylor]: Taking taylor expansion of -1 in n 5.357 * [backup-simplify]: Simplify -1 into -1 5.358 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.358 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.358 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.358 * [taylor]: Taking taylor expansion of n in n 5.358 * [backup-simplify]: Simplify 0 into 0 5.358 * [backup-simplify]: Simplify 1 into 1 5.358 * [backup-simplify]: Simplify (* 1 1) into 1 5.361 * [backup-simplify]: Simplify (* 1 1) into 1 5.362 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 5.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.368 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.368 * [backup-simplify]: Simplify 0 into 0 5.369 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.369 * [backup-simplify]: Simplify (cbrt (pow (* (- (+ (/ 1 (- f)) (/ 1 (- n)))) (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))) 3)) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 5.369 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.369 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.369 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.369 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.369 * [taylor]: Taking taylor expansion of f in n 5.369 * [backup-simplify]: Simplify f into f 5.369 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.369 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.369 * [taylor]: Taking taylor expansion of n in n 5.369 * [backup-simplify]: Simplify 0 into 0 5.369 * [backup-simplify]: Simplify 1 into 1 5.370 * [backup-simplify]: Simplify (/ 1 1) into 1 5.370 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.370 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.370 * [taylor]: Taking taylor expansion of n in n 5.370 * [backup-simplify]: Simplify 0 into 0 5.370 * [backup-simplify]: Simplify 1 into 1 5.370 * [backup-simplify]: Simplify (/ 1 1) into 1 5.370 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.370 * [taylor]: Taking taylor expansion of f in n 5.370 * [backup-simplify]: Simplify f into f 5.370 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.370 * [backup-simplify]: Simplify (+ 0 1) into 1 5.371 * [backup-simplify]: Simplify (+ 1 0) into 1 5.371 * [backup-simplify]: Simplify (/ 1 1) into 1 5.371 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.371 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.371 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.371 * [taylor]: Taking taylor expansion of f in f 5.371 * [backup-simplify]: Simplify 0 into 0 5.371 * [backup-simplify]: Simplify 1 into 1 5.371 * [backup-simplify]: Simplify (/ 1 1) into 1 5.371 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.371 * [taylor]: Taking taylor expansion of n in f 5.371 * [backup-simplify]: Simplify n into n 5.371 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.371 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.371 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.371 * [taylor]: Taking taylor expansion of n in f 5.371 * [backup-simplify]: Simplify n into n 5.371 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.371 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.371 * [taylor]: Taking taylor expansion of f in f 5.371 * [backup-simplify]: Simplify 0 into 0 5.371 * [backup-simplify]: Simplify 1 into 1 5.372 * [backup-simplify]: Simplify (/ 1 1) into 1 5.372 * [backup-simplify]: Simplify (+ 1 0) into 1 5.372 * [backup-simplify]: Simplify (- 1) into -1 5.372 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.372 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.372 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.373 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.373 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.373 * [taylor]: Taking taylor expansion of f in f 5.373 * [backup-simplify]: Simplify 0 into 0 5.373 * [backup-simplify]: Simplify 1 into 1 5.373 * [backup-simplify]: Simplify (/ 1 1) into 1 5.373 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.373 * [taylor]: Taking taylor expansion of n in f 5.373 * [backup-simplify]: Simplify n into n 5.373 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.373 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.373 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.373 * [taylor]: Taking taylor expansion of n in f 5.373 * [backup-simplify]: Simplify n into n 5.373 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.373 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.373 * [taylor]: Taking taylor expansion of f in f 5.373 * [backup-simplify]: Simplify 0 into 0 5.373 * [backup-simplify]: Simplify 1 into 1 5.373 * [backup-simplify]: Simplify (/ 1 1) into 1 5.374 * [backup-simplify]: Simplify (+ 1 0) into 1 5.374 * [backup-simplify]: Simplify (- 1) into -1 5.374 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.374 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.374 * [taylor]: Taking taylor expansion of -1 in n 5.374 * [backup-simplify]: Simplify -1 into -1 5.375 * [backup-simplify]: Simplify -1 into -1 5.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.375 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.376 * [backup-simplify]: Simplify (- 0) into 0 5.376 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.376 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.376 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.376 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.376 * [taylor]: Taking taylor expansion of 2 in n 5.376 * [backup-simplify]: Simplify 2 into 2 5.376 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.376 * [taylor]: Taking taylor expansion of n in n 5.376 * [backup-simplify]: Simplify 0 into 0 5.376 * [backup-simplify]: Simplify 1 into 1 5.376 * [backup-simplify]: Simplify (/ 1 1) into 1 5.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.377 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.377 * [backup-simplify]: Simplify (- 0) into 0 5.377 * [backup-simplify]: Simplify 0 into 0 5.377 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.378 * [backup-simplify]: Simplify (+ 0 0) into 0 5.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.379 * [backup-simplify]: Simplify (- 0) into 0 5.379 * [backup-simplify]: Simplify (+ 0 0) into 0 5.380 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.380 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.380 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.380 * [taylor]: Taking taylor expansion of 2 in n 5.380 * [backup-simplify]: Simplify 2 into 2 5.380 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.380 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.380 * [taylor]: Taking taylor expansion of n in n 5.380 * [backup-simplify]: Simplify 0 into 0 5.380 * [backup-simplify]: Simplify 1 into 1 5.380 * [backup-simplify]: Simplify (* 1 1) into 1 5.380 * [backup-simplify]: Simplify (/ 1 1) into 1 5.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.382 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.382 * [backup-simplify]: Simplify (- 0) into 0 5.382 * [backup-simplify]: Simplify 0 into 0 5.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.383 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.384 * [backup-simplify]: Simplify (- 0) into 0 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.384 * [backup-simplify]: Simplify (+ 0 0) into 0 5.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.385 * [backup-simplify]: Simplify (- 0) into 0 5.385 * [backup-simplify]: Simplify (+ 0 0) into 0 5.386 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.387 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.387 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.387 * [taylor]: Taking taylor expansion of 2 in n 5.387 * [backup-simplify]: Simplify 2 into 2 5.387 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.387 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.387 * [taylor]: Taking taylor expansion of n in n 5.387 * [backup-simplify]: Simplify 0 into 0 5.387 * [backup-simplify]: Simplify 1 into 1 5.387 * [backup-simplify]: Simplify (* 1 1) into 1 5.387 * [backup-simplify]: Simplify (* 1 1) into 1 5.387 * [backup-simplify]: Simplify (/ 1 1) into 1 5.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.392 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.392 * [backup-simplify]: Simplify (- 0) into 0 5.392 * [backup-simplify]: Simplify 0 into 0 5.392 * [backup-simplify]: Simplify -1 into -1 5.392 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 5.392 * [backup-simplify]: Simplify (/ 1 (- f n)) into (/ 1 (- f n)) 5.392 * [approximate]: Taking taylor expansion of (/ 1 (- f n)) in (f n) around 0 5.392 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in n 5.392 * [taylor]: Taking taylor expansion of (- f n) in n 5.392 * [taylor]: Taking taylor expansion of f in n 5.392 * [backup-simplify]: Simplify f into f 5.392 * [taylor]: Taking taylor expansion of n in n 5.392 * [backup-simplify]: Simplify 0 into 0 5.392 * [backup-simplify]: Simplify 1 into 1 5.393 * [backup-simplify]: Simplify (- 0) into 0 5.393 * [backup-simplify]: Simplify (+ f 0) into f 5.393 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.393 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 5.393 * [taylor]: Taking taylor expansion of (- f n) in f 5.393 * [taylor]: Taking taylor expansion of f in f 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify 1 into 1 5.393 * [taylor]: Taking taylor expansion of n in f 5.393 * [backup-simplify]: Simplify n into n 5.393 * [backup-simplify]: Simplify (- n) into (- n) 5.393 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.393 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 5.393 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 5.393 * [taylor]: Taking taylor expansion of (- f n) in f 5.393 * [taylor]: Taking taylor expansion of f in f 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify 1 into 1 5.393 * [taylor]: Taking taylor expansion of n in f 5.393 * [backup-simplify]: Simplify n into n 5.393 * [backup-simplify]: Simplify (- n) into (- n) 5.393 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.393 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 5.393 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.393 * [taylor]: Taking taylor expansion of -1 in n 5.393 * [backup-simplify]: Simplify -1 into -1 5.393 * [taylor]: Taking taylor expansion of n in n 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify 1 into 1 5.394 * [backup-simplify]: Simplify (/ -1 1) into -1 5.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.394 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify (- 0) into 0 5.394 * [backup-simplify]: Simplify (+ 1 0) into 1 5.395 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 5.395 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 5.395 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.395 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.395 * [taylor]: Taking taylor expansion of n in n 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify 1 into 1 5.395 * [backup-simplify]: Simplify (* 1 1) into 1 5.395 * [backup-simplify]: Simplify (/ 1 1) into 1 5.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.397 * [backup-simplify]: Simplify (- 0) into 0 5.397 * [backup-simplify]: Simplify 0 into 0 5.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.398 * [backup-simplify]: Simplify 0 into 0 5.398 * [backup-simplify]: Simplify (- 0) into 0 5.398 * [backup-simplify]: Simplify (+ 0 0) into 0 5.398 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* (- (/ 1 (pow n 2))) (/ 1 (- n))))) into (- (/ 1 (pow n 3))) 5.398 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 3))) in n 5.398 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.398 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.398 * [taylor]: Taking taylor expansion of n in n 5.398 * [backup-simplify]: Simplify 0 into 0 5.398 * [backup-simplify]: Simplify 1 into 1 5.399 * [backup-simplify]: Simplify (* 1 1) into 1 5.399 * [backup-simplify]: Simplify (* 1 1) into 1 5.399 * [backup-simplify]: Simplify (/ 1 1) into 1 5.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.403 * [backup-simplify]: Simplify (- 0) into 0 5.403 * [backup-simplify]: Simplify 0 into 0 5.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.404 * [backup-simplify]: Simplify (- 0) into 0 5.404 * [backup-simplify]: Simplify 0 into 0 5.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.405 * [backup-simplify]: Simplify 0 into 0 5.405 * [backup-simplify]: Simplify 0 into 0 5.405 * [backup-simplify]: Simplify (/ 1 (- (/ 1 f) (/ 1 n))) into (/ 1 (- (/ 1 f) (/ 1 n))) 5.405 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in (f n) around 0 5.405 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in n 5.405 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.405 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.405 * [taylor]: Taking taylor expansion of f in n 5.405 * [backup-simplify]: Simplify f into f 5.405 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.405 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.405 * [taylor]: Taking taylor expansion of n in n 5.405 * [backup-simplify]: Simplify 0 into 0 5.405 * [backup-simplify]: Simplify 1 into 1 5.406 * [backup-simplify]: Simplify (/ 1 1) into 1 5.406 * [backup-simplify]: Simplify (- 1) into -1 5.406 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.406 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.406 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 5.406 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.406 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.406 * [taylor]: Taking taylor expansion of f in f 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify 1 into 1 5.407 * [backup-simplify]: Simplify (/ 1 1) into 1 5.407 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.407 * [taylor]: Taking taylor expansion of n in f 5.407 * [backup-simplify]: Simplify n into n 5.407 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.407 * [backup-simplify]: Simplify (+ 1 0) into 1 5.407 * [backup-simplify]: Simplify (/ 1 1) into 1 5.407 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 5.407 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.407 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.407 * [taylor]: Taking taylor expansion of f in f 5.407 * [backup-simplify]: Simplify 0 into 0 5.407 * [backup-simplify]: Simplify 1 into 1 5.407 * [backup-simplify]: Simplify (/ 1 1) into 1 5.408 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.408 * [taylor]: Taking taylor expansion of n in f 5.408 * [backup-simplify]: Simplify n into n 5.408 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.408 * [backup-simplify]: Simplify (+ 1 0) into 1 5.408 * [backup-simplify]: Simplify (/ 1 1) into 1 5.408 * [taylor]: Taking taylor expansion of 1 in n 5.408 * [backup-simplify]: Simplify 1 into 1 5.408 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.409 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.409 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 5.409 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.409 * [taylor]: Taking taylor expansion of n in n 5.409 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify 1 into 1 5.409 * [backup-simplify]: Simplify (/ 1 1) into 1 5.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.410 * [backup-simplify]: Simplify 0 into 0 5.410 * [backup-simplify]: Simplify 0 into 0 5.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.411 * [backup-simplify]: Simplify (- 0) into 0 5.411 * [backup-simplify]: Simplify (+ 0 0) into 0 5.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 5.411 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.411 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.411 * [taylor]: Taking taylor expansion of n in n 5.411 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify 1 into 1 5.412 * [backup-simplify]: Simplify (* 1 1) into 1 5.412 * [backup-simplify]: Simplify (/ 1 1) into 1 5.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.414 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify (/ 1 (- (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (- (/ 1 n) (/ 1 f))) 5.415 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.415 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in n 5.415 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.415 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.415 * [taylor]: Taking taylor expansion of n in n 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 1 into 1 5.415 * [backup-simplify]: Simplify (/ 1 1) into 1 5.415 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.416 * [taylor]: Taking taylor expansion of f in n 5.416 * [backup-simplify]: Simplify f into f 5.416 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.416 * [backup-simplify]: Simplify (+ 1 0) into 1 5.416 * [backup-simplify]: Simplify (/ 1 1) into 1 5.416 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 5.416 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.416 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.416 * [taylor]: Taking taylor expansion of n in f 5.416 * [backup-simplify]: Simplify n into n 5.416 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.416 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.416 * [taylor]: Taking taylor expansion of f in f 5.416 * [backup-simplify]: Simplify 0 into 0 5.416 * [backup-simplify]: Simplify 1 into 1 5.416 * [backup-simplify]: Simplify (/ 1 1) into 1 5.417 * [backup-simplify]: Simplify (- 1) into -1 5.417 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.417 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.417 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 5.417 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.417 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.417 * [taylor]: Taking taylor expansion of n in f 5.417 * [backup-simplify]: Simplify n into n 5.417 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.417 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.417 * [taylor]: Taking taylor expansion of f in f 5.417 * [backup-simplify]: Simplify 0 into 0 5.417 * [backup-simplify]: Simplify 1 into 1 5.418 * [backup-simplify]: Simplify (/ 1 1) into 1 5.418 * [backup-simplify]: Simplify (- 1) into -1 5.418 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.418 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.418 * [taylor]: Taking taylor expansion of -1 in n 5.418 * [backup-simplify]: Simplify -1 into -1 5.418 * [backup-simplify]: Simplify 0 into 0 5.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.419 * [backup-simplify]: Simplify (- 0) into 0 5.419 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.419 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 n) -1)))) into (- (/ 1 n)) 5.419 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 5.419 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.419 * [taylor]: Taking taylor expansion of n in n 5.419 * [backup-simplify]: Simplify 0 into 0 5.419 * [backup-simplify]: Simplify 1 into 1 5.419 * [backup-simplify]: Simplify (/ 1 1) into 1 5.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.421 * [backup-simplify]: Simplify (- 0) into 0 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.421 * [backup-simplify]: Simplify (- 0) into 0 5.422 * [backup-simplify]: Simplify (+ 0 0) into 0 5.422 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 n)) (/ (/ 1 n) -1)))) into (- (/ 1 (pow n 2))) 5.422 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 5.422 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.422 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.422 * [taylor]: Taking taylor expansion of n in n 5.422 * [backup-simplify]: Simplify 0 into 0 5.422 * [backup-simplify]: Simplify 1 into 1 5.422 * [backup-simplify]: Simplify (* 1 1) into 1 5.422 * [backup-simplify]: Simplify (/ 1 1) into 1 5.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.425 * [backup-simplify]: Simplify (- 0) into 0 5.425 * [backup-simplify]: Simplify 0 into 0 5.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.426 * [backup-simplify]: Simplify (- 0) into 0 5.426 * [backup-simplify]: Simplify 0 into 0 5.426 * [backup-simplify]: Simplify 0 into 0 5.426 * [backup-simplify]: Simplify 0 into 0 5.426 * * * [progress]: simplifying candidates 5.429 * [simplify]: Simplifying: (* (- (+ f n)) (/ 1 (- f n))) (+ (log (- (+ f n))) (- (log (- f n)))) (+ (log (- (+ f n))) (- 0 (log (- f n)))) (+ (log (- (+ f n))) (- (log 1) (log (- f n)))) (+ (log (- (+ f n))) (log (/ 1 (- f n)))) (log (* (- (+ f n)) (/ 1 (- f n)))) (exp (* (- (+ f n)) (/ 1 (- f n)))) (* (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (/ (* (* 1 1) 1) (* (* (- f n) (- f n)) (- f n)))) (* (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (/ 1 (- f n)) (/ 1 (- f n))) (/ 1 (- f n)))) (* (cbrt (* (- (+ f n)) (/ 1 (- f n)))) (cbrt (* (- (+ f n)) (/ 1 (- f n))))) (cbrt (* (- (+ f n)) (/ 1 (- f n)))) (* (* (* (- (+ f n)) (/ 1 (- f n))) (* (- (+ f n)) (/ 1 (- f n)))) (* (- (+ f n)) (/ 1 (- f n)))) (sqrt (* (- (+ f n)) (/ 1 (- f n)))) (sqrt (* (- (+ f n)) (/ 1 (- f n)))) (* (- (+ (pow f 3) (pow n 3))) 1) (* (+ (* f f) (- (* n n) (* f n))) (- f n)) (* (- (- (* f f) (* n n))) 1) (* (- f n) (- f n)) (* (sqrt (- (+ f n))) (sqrt (/ 1 (- f n)))) (* (sqrt (- (+ f n))) (sqrt (/ 1 (- f n)))) (* (sqrt (- (+ f n))) (/ (sqrt 1) (sqrt (- f n)))) (* (sqrt (- (+ f n))) (/ (sqrt 1) (sqrt (- f n)))) (* (sqrt (- (+ f n))) (/ 1 (sqrt (- f n)))) (* (sqrt (- (+ f n))) (/ 1 (sqrt (- f n)))) (* (+ f n) (/ 1 (- f n))) (* (- (+ f n)) (* (cbrt (/ 1 (- f n))) (cbrt (/ 1 (- f n))))) (* (- (+ f n)) (sqrt (/ 1 (- f n)))) (* (- (+ f n)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (+ f n)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- f n)))) (* (- (+ f n)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- (+ f n)) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt f) (sqrt n)))) (* (- (+ f n)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- (+ f n)) (/ (sqrt 1) (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (+ f n)) (/ (sqrt 1) (sqrt (- f n)))) (* (- (+ f n)) (/ (sqrt 1) 1)) (* (- (+ f n)) (/ (sqrt 1) (+ (sqrt f) (sqrt n)))) (* (- (+ f n)) (/ (sqrt 1) 1)) (* (- (+ f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (+ f n)) (/ 1 (sqrt (- f n)))) (* (- (+ f n)) (/ 1 1)) (* (- (+ f n)) (/ 1 (+ (sqrt f) (sqrt n)))) (* (- (+ f n)) (/ 1 1)) (* (- (+ f n)) 1) (* (- (+ f n)) 1) (* (- (+ f n)) (/ 1 (- (pow f 3) (pow n 3)))) (* (- (+ f n)) (/ 1 (- (* f f) (* n n)))) (* (cbrt (- (+ f n))) (/ 1 (- f n))) (* (sqrt (- (+ f n))) (/ 1 (- f n))) (* (- (+ f n)) (/ 1 (- f n))) (* (+ f n) (/ 1 (- f n))) (* (cbrt (+ f n)) (/ 1 (- f n))) (* (sqrt (+ f n)) (/ 1 (- f n))) (* (+ f n) (/ 1 (- f n))) (* (+ f n) (/ 1 (- f n))) (* (- (cbrt (+ f n))) (/ 1 (- f n))) (* (- (sqrt (+ f n))) (/ 1 (- f n))) (* (- (+ f n)) (/ 1 (- f n))) (* (- (+ f n)) (/ 1 (- f n))) (* (- (+ f n)) 1) (* (- (+ (pow f 3) (pow n 3))) (/ 1 (- f n))) (* (- (- (* f f) (* n n))) (/ 1 (- f n))) (* (+ (log (- (+ f n))) (- (log (- f n)))) 3) (* (+ (log (- (+ f n))) (- 0 (log (- f n)))) 3) (* (+ (log (- (+ f n))) (- (log 1) (log (- f n)))) 3) (* (+ (log (- (+ f n))) (log (/ 1 (- f n)))) 3) (* (log (* (- (+ f n)) (/ 1 (- f n)))) 3) (* (log (* (- (+ f n)) (/ 1 (- f n)))) 3) (* 1 3) (* 1 3) (pow (* (- (+ f n)) (/ 1 (- f n))) (* (cbrt 3) (cbrt 3))) (pow (* (- (+ f n)) (/ 1 (- f n))) (sqrt 3)) (pow (* (- (+ f n)) (/ 1 (- f n))) 1) (pow (- (+ f n)) 3) (pow (/ 1 (- f n)) 3) (* (* (- (+ f n)) (/ 1 (- f n))) (* (- (+ f n)) (/ 1 (- f n)))) (log (pow (* (- (+ f n)) (/ 1 (- f n))) 3)) (exp (pow (* (- (+ f n)) (/ 1 (- f n))) 3)) (* (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3)) (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3))) (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3)) (* (* (pow (* (- (+ f n)) (/ 1 (- f n))) 3) (pow (* (- (+ f n)) (/ 1 (- f n))) 3)) (pow (* (- (+ f n)) (/ 1 (- f n))) 3)) (pow (- (+ f n)) 3) (pow (/ 1 (- f n)) 3) (pow (* (- (+ (pow f 3) (pow n 3))) 1) 3) (pow (* (+ (* f f) (- (* n n) (* f n))) (- f n)) 3) (pow (* (- (- (* f f) (* n n))) 1) 3) (pow (* (- f n) (- f n)) 3) (pow (- (+ f n)) 3) (pow (- f n) 3) (pow (* (- (+ f n)) 1) 3) (pow (- f n) 3) (pow (* (- (+ (pow f 3) (pow n 3))) (/ 1 (- f n))) 3) (pow (+ (* f f) (- (* n n) (* f n))) 3) (pow (* (- (- (* f f) (* n n))) (/ 1 (- f n))) 3) (pow (- f n) 3) (* (* (- (+ f n)) (/ 1 (- f n))) (* (- (+ f n)) (/ 1 (- f n)))) (pow (* (+ f n) (/ 1 (- f n))) 3) (sqrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3)) (sqrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3)) (pow (* (- (+ f n)) (/ 1 (- f n))) (/ 3 2)) (pow (* (- (+ f n)) (/ 1 (- f n))) (/ 3 2)) (log (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3))) (exp (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3))) (cbrt (pow (- (+ f n)) 3)) (cbrt (pow (/ 1 (- f n)) 3)) (cbrt (* (* (- (+ f n)) (/ 1 (- f n))) (* (- (+ f n)) (/ 1 (- f n))))) (cbrt (* (- (+ f n)) (/ 1 (- f n)))) (cbrt (* (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3)) (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3)))) (cbrt (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3))) (cbrt (pow (- (+ f n)) 3)) (cbrt (pow (/ 1 (- f n)) 3)) (cbrt (* (- (+ f n)) (/ 1 (- f n)))) (cbrt (* (* (- (+ f n)) (/ 1 (- f n))) (* (- (+ f n)) (/ 1 (- f n))))) (cbrt (sqrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3))) (cbrt (sqrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3))) (cbrt 1) (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3)) (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) (/ 3 2))) (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) (/ 3 2))) (cbrt (pow (* (- (+ (pow f 3) (pow n 3))) 1) 3)) (cbrt (pow (* (+ (* f f) (- (* n n) (* f n))) (- f n)) 3)) (cbrt (pow (* (- (- (* f f) (* n n))) 1) 3)) (cbrt (pow (* (- f n) (- f n)) 3)) (cbrt (pow (- (+ f n)) 3)) (cbrt (pow (- f n) 3)) (cbrt (pow (* (- (+ f n)) 1) 3)) (cbrt (pow (- f n) 3)) (cbrt (pow (* (- (+ (pow f 3) (pow n 3))) (/ 1 (- f n))) 3)) (cbrt (pow (+ (* f f) (- (* n n) (* f n))) 3)) (cbrt (pow (* (- (- (* f f) (* n n))) (/ 1 (- f n))) 3)) (cbrt (pow (- f n) 3)) (* (cbrt (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3))) (cbrt (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3)))) (cbrt (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3))) (* (* (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3)) (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3))) (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3))) (sqrt (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3))) (sqrt (cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3))) (- 1) (- (log (- f n))) (- 0 (log (- f n))) (- (log 1) (log (- f n))) (log (/ 1 (- f n))) (exp (/ 1 (- f n))) (/ (* (* 1 1) 1) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ 1 (- f n))) (cbrt (/ 1 (- f n)))) (cbrt (/ 1 (- f n))) (* (* (/ 1 (- f n)) (/ 1 (- f n))) (/ 1 (- f n))) (sqrt (/ 1 (- f n))) (sqrt (/ 1 (- f n))) (- 1) (- (- f n)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt 1) (cbrt (- f n))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- f n))) (/ (cbrt 1) (sqrt (- f n))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- f n)) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt f) (sqrt n))) (/ (cbrt 1) (- (sqrt f) (sqrt n))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- f n)) (/ (sqrt 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt 1) (cbrt (- f n))) (/ (sqrt 1) (sqrt (- f n))) (/ (sqrt 1) (sqrt (- f n))) (/ (sqrt 1) 1) (/ (sqrt 1) (- f n)) (/ (sqrt 1) (+ (sqrt f) (sqrt n))) (/ (sqrt 1) (- (sqrt f) (sqrt n))) (/ (sqrt 1) 1) (/ (sqrt 1) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ 1 1) (/ 1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (- (sqrt f) (sqrt n))) (/ 1 1) (/ 1 (- f n)) (/ 1 (- f n)) (/ (- f n) 1) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ 1 1) (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 1) (/ (- f n) (cbrt 1)) (/ (- f n) (sqrt 1)) (/ (- f n) 1) (/ 1 (- (pow f 3) (pow n 3))) (/ 1 (- (* f f) (* n n))) 1 -1 -1 1 -1 -1 (* -1 (cbrt -1)) (cbrt -1) -1 0 0 0 5.431 * * [simplify]: Extracting # 0 : cost 0 5.432 * * [simplify]: Extracting # 1 : cost 0 5.432 * * [simplify]: Extracting # 2 : cost 0 5.432 * * [simplify]: Extracting # 3 : cost 0 5.432 * * [simplify]: Extracting # 4 : cost 0 5.433 * * [simplify]: Extracting # 5 : cost 0 5.433 * * [simplify]: Extracting # 6 : cost 0 5.433 * * [simplify]: iteration 0 : 190 enodes (cost 2154 ) 5.488 * * [simplify]: Extracting # 0 : cost 0 5.489 * * [simplify]: Extracting # 1 : cost 0 5.489 * * [simplify]: Extracting # 2 : cost 0 5.490 * * [simplify]: Extracting # 3 : cost 0 5.490 * * [simplify]: Extracting # 4 : cost 0 5.491 * * [simplify]: Extracting # 5 : cost 0 5.491 * * [simplify]: iteration 1 : 491 enodes (cost 1606 ) 5.643 * * [simplify]: Extracting # 0 : cost 0 5.644 * * [simplify]: Extracting # 1 : cost 0 5.646 * * [simplify]: Extracting # 2 : cost 0 5.648 * * [simplify]: Extracting # 3 : cost 0 5.649 * * [simplify]: Extracting # 4 : cost 0 5.651 * * [simplify]: iteration 2 : 1620 enodes (cost 1519 ) 6.243 * * [simplify]: Extracting # 0 : cost 0 6.249 * * [simplify]: Extracting # 1 : cost 0 6.255 * * [simplify]: Extracting # 2 : cost 0 6.261 * * [simplify]: Extracting # 3 : cost 0 6.271 * * [simplify]: Extracting # 4 : cost 0 6.277 * * [simplify]: iteration done: 5002 enodes (cost 1491 ) 6.278 * [simplify]: Simplified to: (- (/ (+ f n) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (+ (pow f 3) (pow n 3))) (* (+ (* n (- n f)) (* f f)) (- f n)) (* (- n f) (+ f n)) (cbrt (pow (- f n) 6)) (* (sqrt (- (+ f n))) (sqrt (/ 1 (- f n)))) (* (sqrt (- (+ f n))) (sqrt (/ 1 (- f n)))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (+ f n) (- f n)) (* (- (+ f n)) (* (cbrt (/ 1 (- f n))) (cbrt (/ 1 (- f n))))) (* (- (+ f n)) (sqrt (/ 1 (- f n)))) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (- f) n) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (- f) n) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (- f) n) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (- f) n) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (- f) n) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (- f) n) (- (- f) n) (- (- f) n) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (- f n)) (- (/ (+ f n) (- f n))) (/ (+ f n) (- f n)) (/ (cbrt (+ f n)) (- f n)) (/ (sqrt (+ f n)) (- f n)) (/ (+ f n) (- f n)) (/ (+ f n) (- f n)) (/ (- (cbrt (+ f n))) (- f n)) (/ (- (sqrt (+ f n))) (- f n)) (- (/ (+ f n) (- f n))) (- (/ (+ f n) (- f n))) (- (- f) n) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (- (- f) n) (* (log (/ (- (+ f n)) (- f n))) 3) (* (log (/ (- (+ f n)) (- f n))) 3) (* (log (/ (- (+ f n)) (- f n))) 3) (* (log (/ (- (+ f n)) (- f n))) 3) (* (log (/ (- (+ f n)) (- f n))) 3) (* (log (/ (- (+ f n)) (- f n))) 3) 3 3 (pow (/ (- (+ f n)) (- f n)) (* (cbrt 3) (cbrt 3))) (pow (/ (- (+ f n)) (- f n)) (sqrt 3)) (- (/ (+ f n) (- f n))) (pow (- (+ f n)) 3) (/ 1 (pow (- f n) 3)) (pow (/ (- (+ f n)) (- f n)) 2) (* (log (/ (- (+ f n)) (- f n))) 3) (exp (pow (/ (- (+ f n)) (- f n)) 3)) (pow (/ (- (+ f n)) (- f n)) 2) (- (/ (+ f n) (- f n))) (pow (pow (/ (- (+ f n)) (- f n)) 3) 3) (pow (- (+ f n)) 3) (/ 1 (pow (- f n) 3)) (pow (- (+ (pow f 3) (pow n 3))) 3) (pow (* (+ (* n (- n f)) (* f f)) (- f n)) 3) (pow (* (- n f) (+ f n)) 3) (pow (- f n) 6) (pow (- (+ f n)) 3) (pow (- f n) 3) (pow (- (+ f n)) 3) (pow (- f n) 3) (pow (/ (- (+ (pow f 3) (pow n 3))) (- f n)) 3) (pow (+ (* n (- n f)) (* f f)) 3) (pow (- (+ f n)) 3) (pow (- f n) 3) (pow (/ (- (+ f n)) (- f n)) 2) (pow (/ (+ f n) (- f n)) 3) (sqrt (pow (/ (- (+ f n)) (- f n)) 3)) (sqrt (pow (/ (- (+ f n)) (- f n)) 3)) (pow (/ (- (+ f n)) (- f n)) 3/2) (pow (/ (- (+ f n)) (- f n)) 3/2) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (- (- f) n) (/ 1 (- f n)) (cbrt (pow (/ (- (+ f n)) (- f n)) 2)) (cbrt (/ (- (+ f n)) (- f n))) (cbrt (pow (/ (- (+ f n)) (- f n)) 2)) (cbrt (/ (- (+ f n)) (- f n))) (- (- f) n) (/ 1 (- f n)) (cbrt (/ (- (+ f n)) (- f n))) (cbrt (pow (/ (- (+ f n)) (- f n)) 2)) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) 1 (- (/ (+ f n) (- f n))) (cbrt (pow (/ (- (+ f n)) (- f n)) 3/2)) (cbrt (pow (/ (- (+ f n)) (- f n)) 3/2)) (- (+ (pow f 3) (pow n 3))) (* (+ (* n (- n f)) (* f f)) (- f n)) (* (- n f) (+ f n)) (cbrt (pow (- f n) 6)) (- (- f) n) (- f n) (- (- f) n) (- f n) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (+ (* n (- n f)) (* f f)) (- (- f) n) (- f n) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) -1 (- (log (- f n))) (- (log (- f n))) (- (log (- f n))) (- (log (- f n))) (exp (/ 1 (- f n))) (/ 1 (pow (- f n) 3)) (* (cbrt (/ 1 (- f n))) (cbrt (/ 1 (- f n)))) (cbrt (/ 1 (- f n))) (/ 1 (pow (- f n) 3)) (sqrt (/ 1 (- f n))) (sqrt (/ 1 (- f n))) -1 (- n f) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ 1 (- (sqrt f) (sqrt n))) 1 (/ 1 (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ 1 (- (sqrt f) (sqrt n))) 1 (/ 1 (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ 1 (- (sqrt f) (sqrt n))) 1 (/ 1 (- f n)) (/ 1 (- f n)) (- f n) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt n) (sqrt f))) 1 (- f n) (- f n) (- f n) (/ 1 (- (pow f 3) (pow n 3))) (/ (/ 1 (+ f n)) (- f n)) 1 -1 -1 1 -1 -1 (- (cbrt -1)) (cbrt -1) -1 0 0 0 6.279 * * * [progress]: adding candidates to table 6.582 * * [progress]: iteration 4 / 4 6.582 * * * [progress]: picking best candidate 6.583 * * * * [pick]: Picked # 6.584 * * * [progress]: localizing error 6.591 * * * [progress]: generating rewritten candidates 6.591 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 6.626 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 6.761 * * * [progress]: generating series expansions 6.761 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 6.761 * [backup-simplify]: Simplify (/ (sqrt (- (+ f n))) (- f n)) into (/ (sqrt (- (+ n f))) (- f n)) 6.761 * [approximate]: Taking taylor expansion of (/ (sqrt (- (+ n f))) (- f n)) in (f n) around 0 6.761 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ n f))) (- f n)) in n 6.761 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in n 6.761 * [taylor]: Taking taylor expansion of (- (+ n f)) in n 6.761 * [taylor]: Taking taylor expansion of (+ n f) in n 6.761 * [taylor]: Taking taylor expansion of n in n 6.761 * [backup-simplify]: Simplify 0 into 0 6.761 * [backup-simplify]: Simplify 1 into 1 6.761 * [taylor]: Taking taylor expansion of f in n 6.761 * [backup-simplify]: Simplify f into f 6.762 * [backup-simplify]: Simplify (+ 0 f) into f 6.762 * [backup-simplify]: Simplify (- f) into (- f) 6.762 * [backup-simplify]: Simplify (- f) into (- f) 6.762 * [backup-simplify]: Simplify (sqrt (- f)) into (sqrt (- f)) 6.762 * [backup-simplify]: Simplify (+ 1 0) into 1 6.762 * [backup-simplify]: Simplify (- 1) into -1 6.762 * [backup-simplify]: Simplify (- f) into (- f) 6.763 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- f)))) into (/ -1/2 (sqrt (- f))) 6.763 * [taylor]: Taking taylor expansion of (- f n) in n 6.763 * [taylor]: Taking taylor expansion of f in n 6.763 * [backup-simplify]: Simplify f into f 6.763 * [taylor]: Taking taylor expansion of n in n 6.763 * [backup-simplify]: Simplify 0 into 0 6.763 * [backup-simplify]: Simplify 1 into 1 6.763 * [backup-simplify]: Simplify (- 0) into 0 6.763 * [backup-simplify]: Simplify (+ f 0) into f 6.763 * [backup-simplify]: Simplify (/ (sqrt (- f)) f) into (/ (sqrt (- f)) f) 6.763 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ n f))) (- f n)) in f 6.763 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 6.763 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 6.763 * [taylor]: Taking taylor expansion of (+ n f) in f 6.763 * [taylor]: Taking taylor expansion of n in f 6.763 * [backup-simplify]: Simplify n into n 6.763 * [taylor]: Taking taylor expansion of f in f 6.763 * [backup-simplify]: Simplify 0 into 0 6.763 * [backup-simplify]: Simplify 1 into 1 6.763 * [backup-simplify]: Simplify (+ n 0) into n 6.763 * [backup-simplify]: Simplify (- n) into (- n) 6.763 * [backup-simplify]: Simplify (- n) into (- n) 6.763 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 6.764 * [backup-simplify]: Simplify (+ 0 1) into 1 6.764 * [backup-simplify]: Simplify (- 1) into -1 6.764 * [backup-simplify]: Simplify (- n) into (- n) 6.764 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 6.764 * [taylor]: Taking taylor expansion of (- f n) in f 6.764 * [taylor]: Taking taylor expansion of f in f 6.764 * [backup-simplify]: Simplify 0 into 0 6.764 * [backup-simplify]: Simplify 1 into 1 6.764 * [taylor]: Taking taylor expansion of n in f 6.764 * [backup-simplify]: Simplify n into n 6.764 * [backup-simplify]: Simplify (- n) into (- n) 6.764 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.764 * [backup-simplify]: Simplify (/ (sqrt (- n)) (- n)) into (* -1 (/ (sqrt (- n)) n)) 6.764 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ n f))) (- f n)) in f 6.764 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 6.764 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 6.764 * [taylor]: Taking taylor expansion of (+ n f) in f 6.764 * [taylor]: Taking taylor expansion of n in f 6.764 * [backup-simplify]: Simplify n into n 6.764 * [taylor]: Taking taylor expansion of f in f 6.764 * [backup-simplify]: Simplify 0 into 0 6.764 * [backup-simplify]: Simplify 1 into 1 6.764 * [backup-simplify]: Simplify (+ n 0) into n 6.764 * [backup-simplify]: Simplify (- n) into (- n) 6.764 * [backup-simplify]: Simplify (- n) into (- n) 6.764 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 6.765 * [backup-simplify]: Simplify (+ 0 1) into 1 6.765 * [backup-simplify]: Simplify (- 1) into -1 6.765 * [backup-simplify]: Simplify (- n) into (- n) 6.765 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 6.765 * [taylor]: Taking taylor expansion of (- f n) in f 6.765 * [taylor]: Taking taylor expansion of f in f 6.765 * [backup-simplify]: Simplify 0 into 0 6.765 * [backup-simplify]: Simplify 1 into 1 6.765 * [taylor]: Taking taylor expansion of n in f 6.765 * [backup-simplify]: Simplify n into n 6.765 * [backup-simplify]: Simplify (- n) into (- n) 6.765 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.765 * [backup-simplify]: Simplify (/ (sqrt (- n)) (- n)) into (* -1 (/ (sqrt (- n)) n)) 6.765 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (- n)) n)) in n 6.765 * [taylor]: Taking taylor expansion of -1 in n 6.765 * [backup-simplify]: Simplify -1 into -1 6.765 * [taylor]: Taking taylor expansion of (/ (sqrt (- n)) n) in n 6.765 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 6.765 * [taylor]: Taking taylor expansion of (- n) in n 6.765 * [taylor]: Taking taylor expansion of n in n 6.765 * [backup-simplify]: Simplify 0 into 0 6.765 * [backup-simplify]: Simplify 1 into 1 6.766 * [backup-simplify]: Simplify (- 0) into 0 6.766 * [backup-simplify]: Simplify (- 1) into -1 6.766 * [backup-simplify]: Simplify (sqrt 0) into 0 6.766 * [backup-simplify]: Simplify (- 1) into -1 6.767 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.767 * [taylor]: Taking taylor expansion of n in n 6.767 * [backup-simplify]: Simplify 0 into 0 6.767 * [backup-simplify]: Simplify 1 into 1 6.768 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 6.768 * [backup-simplify]: Simplify (* -1 +nan.0) into +nan.0 6.768 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.768 * [backup-simplify]: Simplify (- 0) into 0 6.768 * [backup-simplify]: Simplify (+ 1 0) into 1 6.769 * [backup-simplify]: Simplify (- (/ (/ -1/2 (sqrt (- n))) (- n)) (+ (* (* -1 (/ (sqrt (- n)) n)) (/ 1 (- n))))) into (- (* 1/2 (/ 1 (* (sqrt (- n)) n))) (/ (sqrt (- n)) (pow n 2))) 6.769 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* (sqrt (- n)) n))) (/ (sqrt (- n)) (pow n 2))) in n 6.769 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (sqrt (- n)) n))) in n 6.769 * [taylor]: Taking taylor expansion of 1/2 in n 6.769 * [backup-simplify]: Simplify 1/2 into 1/2 6.769 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (- n)) n)) in n 6.769 * [taylor]: Taking taylor expansion of (* (sqrt (- n)) n) in n 6.769 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 6.769 * [taylor]: Taking taylor expansion of (- n) in n 6.769 * [taylor]: Taking taylor expansion of n in n 6.769 * [backup-simplify]: Simplify 0 into 0 6.769 * [backup-simplify]: Simplify 1 into 1 6.769 * [backup-simplify]: Simplify (- 0) into 0 6.769 * [backup-simplify]: Simplify (- 1) into -1 6.769 * [backup-simplify]: Simplify (sqrt 0) into 0 6.770 * [backup-simplify]: Simplify (- 1) into -1 6.770 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.770 * [taylor]: Taking taylor expansion of n in n 6.770 * [backup-simplify]: Simplify 0 into 0 6.770 * [backup-simplify]: Simplify 1 into 1 6.771 * [backup-simplify]: Simplify (* 0 0) into 0 6.771 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 0)) into 0 6.771 * [backup-simplify]: Simplify (- 0) into 0 6.773 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.775 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 0))) into (- +nan.0) 6.775 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 6.775 * [taylor]: Taking taylor expansion of (/ (sqrt (- n)) (pow n 2)) in n 6.775 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 6.775 * [taylor]: Taking taylor expansion of (- n) in n 6.775 * [taylor]: Taking taylor expansion of n in n 6.776 * [backup-simplify]: Simplify 0 into 0 6.776 * [backup-simplify]: Simplify 1 into 1 6.776 * [backup-simplify]: Simplify (- 0) into 0 6.776 * [backup-simplify]: Simplify (- 1) into -1 6.776 * [backup-simplify]: Simplify (sqrt 0) into 0 6.776 * [backup-simplify]: Simplify (- 1) into -1 6.777 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.777 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.777 * [taylor]: Taking taylor expansion of n in n 6.777 * [backup-simplify]: Simplify 0 into 0 6.777 * [backup-simplify]: Simplify 1 into 1 6.778 * [backup-simplify]: Simplify (* 1 1) into 1 6.778 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 6.778 * [backup-simplify]: Simplify (- 0) into 0 6.780 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.780 * [backup-simplify]: Simplify (- 0) into 0 6.783 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 0))))) into (- +nan.0) 6.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 0)))) into (- +nan.0) 6.790 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.793 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.794 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 +nan.0))) into (- +nan.0) 6.794 * [backup-simplify]: Simplify (- 0) into 0 6.796 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.797 * [backup-simplify]: Simplify (- (/ +nan.0 1) (+ (* +nan.0 (/ 0 1)))) into (- +nan.0) 6.798 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 6.799 * [backup-simplify]: Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0) 6.799 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.799 * [backup-simplify]: Simplify (- 0) into 0 6.801 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.802 * [backup-simplify]: Simplify (- (/ +nan.0 1) (+ (* +nan.0 (/ 0 1)))) into (- +nan.0) 6.803 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 +nan.0)) into (- +nan.0) 6.804 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.804 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* n 1)) (+ (* (- +nan.0) (* 1 f)) +nan.0)) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 6.805 * [backup-simplify]: Simplify (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n))) into (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n))) 6.805 * [approximate]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 6.805 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n))) in n 6.805 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 6.805 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 6.805 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.805 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.805 * [taylor]: Taking taylor expansion of f in n 6.805 * [backup-simplify]: Simplify f into f 6.805 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.805 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.805 * [taylor]: Taking taylor expansion of n in n 6.805 * [backup-simplify]: Simplify 0 into 0 6.805 * [backup-simplify]: Simplify 1 into 1 6.805 * [backup-simplify]: Simplify (/ 1 1) into 1 6.805 * [backup-simplify]: Simplify (+ 0 1) into 1 6.806 * [backup-simplify]: Simplify (- 1) into -1 6.806 * [backup-simplify]: Simplify (sqrt 0) into 0 6.806 * [backup-simplify]: Simplify (- 1) into -1 6.807 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.807 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.807 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.807 * [taylor]: Taking taylor expansion of f in n 6.807 * [backup-simplify]: Simplify f into f 6.807 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.807 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.807 * [taylor]: Taking taylor expansion of n in n 6.807 * [backup-simplify]: Simplify 0 into 0 6.807 * [backup-simplify]: Simplify 1 into 1 6.807 * [backup-simplify]: Simplify (/ 1 1) into 1 6.807 * [backup-simplify]: Simplify (- 1) into -1 6.808 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.808 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 6.808 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n))) in f 6.808 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 6.808 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 6.808 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.808 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.808 * [taylor]: Taking taylor expansion of f in f 6.808 * [backup-simplify]: Simplify 0 into 0 6.808 * [backup-simplify]: Simplify 1 into 1 6.808 * [backup-simplify]: Simplify (/ 1 1) into 1 6.808 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.808 * [taylor]: Taking taylor expansion of n in f 6.808 * [backup-simplify]: Simplify n into n 6.808 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.808 * [backup-simplify]: Simplify (+ 1 0) into 1 6.809 * [backup-simplify]: Simplify (- 1) into -1 6.809 * [backup-simplify]: Simplify (sqrt 0) into 0 6.809 * [backup-simplify]: Simplify (- 1) into -1 6.810 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.810 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.810 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.810 * [taylor]: Taking taylor expansion of f in f 6.810 * [backup-simplify]: Simplify 0 into 0 6.810 * [backup-simplify]: Simplify 1 into 1 6.810 * [backup-simplify]: Simplify (/ 1 1) into 1 6.810 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.810 * [taylor]: Taking taylor expansion of n in f 6.810 * [backup-simplify]: Simplify n into n 6.810 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.811 * [backup-simplify]: Simplify (+ 1 0) into 1 6.811 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 6.811 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n))) in f 6.811 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 6.811 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 6.811 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.811 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.811 * [taylor]: Taking taylor expansion of f in f 6.811 * [backup-simplify]: Simplify 0 into 0 6.811 * [backup-simplify]: Simplify 1 into 1 6.811 * [backup-simplify]: Simplify (/ 1 1) into 1 6.811 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.811 * [taylor]: Taking taylor expansion of n in f 6.811 * [backup-simplify]: Simplify n into n 6.811 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.812 * [backup-simplify]: Simplify (+ 1 0) into 1 6.812 * [backup-simplify]: Simplify (- 1) into -1 6.812 * [backup-simplify]: Simplify (sqrt 0) into 0 6.812 * [backup-simplify]: Simplify (- 1) into -1 6.813 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.813 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.813 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.813 * [taylor]: Taking taylor expansion of f in f 6.813 * [backup-simplify]: Simplify 0 into 0 6.813 * [backup-simplify]: Simplify 1 into 1 6.813 * [backup-simplify]: Simplify (/ 1 1) into 1 6.813 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.813 * [taylor]: Taking taylor expansion of n in f 6.813 * [backup-simplify]: Simplify n into n 6.813 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.813 * [backup-simplify]: Simplify (+ 1 0) into 1 6.814 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 6.814 * [taylor]: Taking taylor expansion of +nan.0 in n 6.814 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.814 * [backup-simplify]: Simplify 0 into 0 6.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.814 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.814 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.815 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 6.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.816 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.816 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.816 * [backup-simplify]: Simplify (- (/ (* +nan.0 (+ (/ 1 n) (- +nan.0))) 1) (+ (* +nan.0 (/ (- (/ 1 n)) 1)))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 6.816 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 6.816 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 6.816 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 6.816 * [taylor]: Taking taylor expansion of +nan.0 in n 6.816 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.816 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.816 * [taylor]: Taking taylor expansion of n in n 6.816 * [backup-simplify]: Simplify 0 into 0 6.816 * [backup-simplify]: Simplify 1 into 1 6.817 * [backup-simplify]: Simplify (/ 1 1) into 1 6.817 * [taylor]: Taking taylor expansion of (- +nan.0) in n 6.817 * [taylor]: Taking taylor expansion of +nan.0 in n 6.817 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.818 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 6.818 * [backup-simplify]: Simplify (- 0) into 0 6.818 * [backup-simplify]: Simplify (+ 0 0) into 0 6.819 * [backup-simplify]: Simplify (- 0) into 0 6.819 * [backup-simplify]: Simplify 0 into 0 6.819 * [backup-simplify]: Simplify 0 into 0 6.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.819 * [backup-simplify]: Simplify (+ 0 0) into 0 6.820 * [backup-simplify]: Simplify (- 0) into 0 6.820 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 6.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.821 * [backup-simplify]: Simplify (- 0) into 0 6.821 * [backup-simplify]: Simplify (+ 0 0) into 0 6.822 * [backup-simplify]: Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 1) (+ (* +nan.0 (/ 0 1)) (* (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) (/ (- (/ 1 n)) 1)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 6.822 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 6.822 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 6.822 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 6.822 * [taylor]: Taking taylor expansion of +nan.0 in n 6.822 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.822 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.822 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.822 * [taylor]: Taking taylor expansion of n in n 6.822 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify 1 into 1 6.823 * [backup-simplify]: Simplify (* 1 1) into 1 6.823 * [backup-simplify]: Simplify (/ 1 1) into 1 6.823 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 6.823 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 6.823 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 6.823 * [taylor]: Taking taylor expansion of +nan.0 in n 6.823 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.823 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.823 * [taylor]: Taking taylor expansion of n in n 6.823 * [backup-simplify]: Simplify 0 into 0 6.823 * [backup-simplify]: Simplify 1 into 1 6.823 * [backup-simplify]: Simplify (/ 1 1) into 1 6.823 * [taylor]: Taking taylor expansion of (- +nan.0) in n 6.823 * [taylor]: Taking taylor expansion of +nan.0 in n 6.823 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.827 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.828 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 6.829 * [backup-simplify]: Simplify (- 0) into 0 6.829 * [backup-simplify]: Simplify (+ 0 0) into 0 6.829 * [backup-simplify]: Simplify (- 0) into 0 6.829 * [backup-simplify]: Simplify (+ 0 0) into 0 6.829 * [backup-simplify]: Simplify (- 0) into 0 6.829 * [backup-simplify]: Simplify 0 into 0 6.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.831 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.831 * [backup-simplify]: Simplify (- 0) into 0 6.831 * [backup-simplify]: Simplify (+ 0 0) into 0 6.831 * [backup-simplify]: Simplify (- 0) into 0 6.831 * [backup-simplify]: Simplify 0 into 0 6.831 * [backup-simplify]: Simplify 0 into 0 6.831 * [backup-simplify]: Simplify 0 into 0 6.832 * [backup-simplify]: Simplify (/ (sqrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (- (/ 1 (- f)) (/ 1 (- n)))) into (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 n) (/ 1 f)))) 6.832 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 n) (/ 1 f)))) in (f n) around 0 6.832 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 n) (/ 1 f)))) in n 6.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in n 6.832 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.832 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.832 * [taylor]: Taking taylor expansion of f in n 6.832 * [backup-simplify]: Simplify f into f 6.832 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.832 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.832 * [taylor]: Taking taylor expansion of n in n 6.832 * [backup-simplify]: Simplify 0 into 0 6.832 * [backup-simplify]: Simplify 1 into 1 6.832 * [backup-simplify]: Simplify (/ 1 1) into 1 6.832 * [backup-simplify]: Simplify (+ 0 1) into 1 6.833 * [backup-simplify]: Simplify (sqrt 0) into 0 6.833 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.833 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in n 6.833 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.833 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.833 * [taylor]: Taking taylor expansion of n in n 6.833 * [backup-simplify]: Simplify 0 into 0 6.834 * [backup-simplify]: Simplify 1 into 1 6.834 * [backup-simplify]: Simplify (/ 1 1) into 1 6.834 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.834 * [taylor]: Taking taylor expansion of f in n 6.834 * [backup-simplify]: Simplify f into f 6.834 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.834 * [backup-simplify]: Simplify (+ 1 0) into 1 6.834 * [backup-simplify]: Simplify (/ 1 1) into 1 6.834 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 n) (/ 1 f)))) in f 6.834 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 6.834 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.834 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.834 * [taylor]: Taking taylor expansion of f in f 6.834 * [backup-simplify]: Simplify 0 into 0 6.834 * [backup-simplify]: Simplify 1 into 1 6.835 * [backup-simplify]: Simplify (/ 1 1) into 1 6.835 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.835 * [taylor]: Taking taylor expansion of n in f 6.835 * [backup-simplify]: Simplify n into n 6.835 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.835 * [backup-simplify]: Simplify (+ 1 0) into 1 6.835 * [backup-simplify]: Simplify (sqrt 0) into 0 6.836 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.836 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 6.836 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.836 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.836 * [taylor]: Taking taylor expansion of n in f 6.836 * [backup-simplify]: Simplify n into n 6.836 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.836 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.836 * [taylor]: Taking taylor expansion of f in f 6.836 * [backup-simplify]: Simplify 0 into 0 6.836 * [backup-simplify]: Simplify 1 into 1 6.836 * [backup-simplify]: Simplify (/ 1 1) into 1 6.837 * [backup-simplify]: Simplify (- 1) into -1 6.837 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.837 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.837 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 n) (/ 1 f)))) in f 6.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 6.837 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.837 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.837 * [taylor]: Taking taylor expansion of f in f 6.837 * [backup-simplify]: Simplify 0 into 0 6.837 * [backup-simplify]: Simplify 1 into 1 6.837 * [backup-simplify]: Simplify (/ 1 1) into 1 6.837 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.837 * [taylor]: Taking taylor expansion of n in f 6.837 * [backup-simplify]: Simplify n into n 6.837 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.838 * [backup-simplify]: Simplify (+ 1 0) into 1 6.838 * [backup-simplify]: Simplify (sqrt 0) into 0 6.839 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.839 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 6.839 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.839 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.839 * [taylor]: Taking taylor expansion of n in f 6.839 * [backup-simplify]: Simplify n into n 6.839 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.839 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.839 * [taylor]: Taking taylor expansion of f in f 6.839 * [backup-simplify]: Simplify 0 into 0 6.839 * [backup-simplify]: Simplify 1 into 1 6.839 * [backup-simplify]: Simplify (/ 1 1) into 1 6.839 * [backup-simplify]: Simplify (- 1) into -1 6.840 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.840 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.840 * [backup-simplify]: Simplify (* 0 -1) into 0 6.840 * [taylor]: Taking taylor expansion of 0 in n 6.840 * [backup-simplify]: Simplify 0 into 0 6.840 * [backup-simplify]: Simplify 0 into 0 6.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.841 * [backup-simplify]: Simplify (- 0) into 0 6.841 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.841 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 n) -1)))) into (- (/ 1 n)) 6.841 * [backup-simplify]: Simplify (+ (* 0 (- (/ 1 n))) (* +nan.0 -1)) into (- +nan.0) 6.841 * [taylor]: Taking taylor expansion of (- +nan.0) in n 6.841 * [taylor]: Taking taylor expansion of +nan.0 in n 6.841 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.842 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.842 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.842 * [backup-simplify]: Simplify 0 into 0 6.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.843 * [backup-simplify]: Simplify (- 0) into 0 6.843 * [backup-simplify]: Simplify (+ 0 0) into 0 6.843 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 n)) (/ (/ 1 n) -1)))) into (- (/ 1 (pow n 2))) 6.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.844 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.845 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 6.845 * [backup-simplify]: Simplify (+ (* 0 (- (/ 1 (pow n 2)))) (+ (* +nan.0 (- (/ 1 n))) (* (* +nan.0 (- (/ 1 n) +nan.0)) -1))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 6.845 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 6.845 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 6.845 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 6.845 * [taylor]: Taking taylor expansion of +nan.0 in n 6.845 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.845 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.845 * [taylor]: Taking taylor expansion of n in n 6.845 * [backup-simplify]: Simplify 0 into 0 6.845 * [backup-simplify]: Simplify 1 into 1 6.845 * [backup-simplify]: Simplify (/ 1 1) into 1 6.845 * [taylor]: Taking taylor expansion of (- +nan.0) in n 6.845 * [taylor]: Taking taylor expansion of +nan.0 in n 6.845 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.846 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 6.847 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.847 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 6.848 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 6.848 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.848 * [backup-simplify]: Simplify (- 0) into 0 6.848 * [backup-simplify]: Simplify 0 into 0 6.848 * [backup-simplify]: Simplify 0 into 0 6.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.854 * [backup-simplify]: Simplify (- 0) into 0 6.855 * [backup-simplify]: Simplify (+ 0 0) into 0 6.856 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 n)) (/ 0 -1)) (* (- (/ 1 (pow n 2))) (/ (/ 1 n) -1)))) into (- (/ 1 (pow n 3))) 6.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.856 * [backup-simplify]: Simplify (+ 0 0) into 0 6.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 6.858 * [backup-simplify]: Simplify (+ (* 0 (- (/ 1 (pow n 3)))) (+ (* +nan.0 (- (/ 1 (pow n 2)))) (+ (* (* +nan.0 (- (/ 1 n) +nan.0)) (- (/ 1 n))) (* (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) -1)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 6.858 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 6.858 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 6.858 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 6.858 * [taylor]: Taking taylor expansion of +nan.0 in n 6.858 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.858 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.858 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.858 * [taylor]: Taking taylor expansion of n in n 6.858 * [backup-simplify]: Simplify 0 into 0 6.858 * [backup-simplify]: Simplify 1 into 1 6.858 * [backup-simplify]: Simplify (* 1 1) into 1 6.858 * [backup-simplify]: Simplify (/ 1 1) into 1 6.858 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 6.858 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 6.858 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 6.858 * [taylor]: Taking taylor expansion of +nan.0 in n 6.858 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.858 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.858 * [taylor]: Taking taylor expansion of n in n 6.858 * [backup-simplify]: Simplify 0 into 0 6.858 * [backup-simplify]: Simplify 1 into 1 6.859 * [backup-simplify]: Simplify (/ 1 1) into 1 6.859 * [taylor]: Taking taylor expansion of (- +nan.0) in n 6.859 * [taylor]: Taking taylor expansion of +nan.0 in n 6.859 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.861 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 6.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.862 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 6.862 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.862 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 6.863 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 6.863 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 6.864 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 6.864 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.865 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- f))) 3)) (+ (* (- +nan.0) (pow (* 1 (/ 1 (- f))) 2)) (* (- +nan.0) (* 1 (/ 1 (- f)))))) into (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 3))) (- (* +nan.0 (/ 1 (pow f 2)))))))) 6.865 * * * * [progress]: [ 2 / 2 ] generating series at (2) 6.865 * [backup-simplify]: Simplify (* (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n))) into (/ (pow (sqrt (- (+ n f))) 2) (- f n)) 6.865 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (- (+ n f))) 2) (- f n)) in (f n) around 0 6.865 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ n f))) 2) (- f n)) in n 6.865 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ n f))) 2) in n 6.865 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in n 6.865 * [taylor]: Taking taylor expansion of (- (+ n f)) in n 6.865 * [taylor]: Taking taylor expansion of (+ n f) in n 6.865 * [taylor]: Taking taylor expansion of n in n 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [backup-simplify]: Simplify 1 into 1 6.865 * [taylor]: Taking taylor expansion of f in n 6.865 * [backup-simplify]: Simplify f into f 6.866 * [backup-simplify]: Simplify (+ 0 f) into f 6.866 * [backup-simplify]: Simplify (- f) into (- f) 6.866 * [backup-simplify]: Simplify (- f) into (- f) 6.866 * [backup-simplify]: Simplify (sqrt (- f)) into (sqrt (- f)) 6.866 * [backup-simplify]: Simplify (+ 1 0) into 1 6.866 * [backup-simplify]: Simplify (- 1) into -1 6.866 * [backup-simplify]: Simplify (- f) into (- f) 6.866 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- f)))) into (/ -1/2 (sqrt (- f))) 6.866 * [taylor]: Taking taylor expansion of (- f n) in n 6.866 * [taylor]: Taking taylor expansion of f in n 6.866 * [backup-simplify]: Simplify f into f 6.866 * [taylor]: Taking taylor expansion of n in n 6.866 * [backup-simplify]: Simplify 0 into 0 6.866 * [backup-simplify]: Simplify 1 into 1 6.866 * [backup-simplify]: Simplify (* (sqrt (- f)) (sqrt (- f))) into (pow (sqrt (- f)) 2) 6.867 * [backup-simplify]: Simplify (- 0) into 0 6.867 * [backup-simplify]: Simplify (+ f 0) into f 6.867 * [backup-simplify]: Simplify (/ (pow (sqrt (- f)) 2) f) into (/ (pow (sqrt (- f)) 2) f) 6.867 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ n f))) 2) (- f n)) in f 6.867 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ n f))) 2) in f 6.867 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 6.867 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 6.867 * [taylor]: Taking taylor expansion of (+ n f) in f 6.867 * [taylor]: Taking taylor expansion of n in f 6.867 * [backup-simplify]: Simplify n into n 6.867 * [taylor]: Taking taylor expansion of f in f 6.867 * [backup-simplify]: Simplify 0 into 0 6.867 * [backup-simplify]: Simplify 1 into 1 6.867 * [backup-simplify]: Simplify (+ n 0) into n 6.867 * [backup-simplify]: Simplify (- n) into (- n) 6.867 * [backup-simplify]: Simplify (- n) into (- n) 6.867 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 6.867 * [backup-simplify]: Simplify (+ 0 1) into 1 6.867 * [backup-simplify]: Simplify (- 1) into -1 6.868 * [backup-simplify]: Simplify (- n) into (- n) 6.868 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 6.868 * [taylor]: Taking taylor expansion of (- f n) in f 6.868 * [taylor]: Taking taylor expansion of f in f 6.868 * [backup-simplify]: Simplify 0 into 0 6.868 * [backup-simplify]: Simplify 1 into 1 6.868 * [taylor]: Taking taylor expansion of n in f 6.868 * [backup-simplify]: Simplify n into n 6.868 * [backup-simplify]: Simplify (* (sqrt (- n)) (sqrt (- n))) into (pow (sqrt (- n)) 2) 6.868 * [backup-simplify]: Simplify (- n) into (- n) 6.868 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.868 * [backup-simplify]: Simplify (/ (pow (sqrt (- n)) 2) (- n)) into (* -1 (/ (pow (sqrt (- n)) 2) n)) 6.868 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ n f))) 2) (- f n)) in f 6.868 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ n f))) 2) in f 6.868 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 6.868 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 6.868 * [taylor]: Taking taylor expansion of (+ n f) in f 6.868 * [taylor]: Taking taylor expansion of n in f 6.868 * [backup-simplify]: Simplify n into n 6.868 * [taylor]: Taking taylor expansion of f in f 6.868 * [backup-simplify]: Simplify 0 into 0 6.868 * [backup-simplify]: Simplify 1 into 1 6.868 * [backup-simplify]: Simplify (+ n 0) into n 6.868 * [backup-simplify]: Simplify (- n) into (- n) 6.868 * [backup-simplify]: Simplify (- n) into (- n) 6.868 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 6.868 * [backup-simplify]: Simplify (+ 0 1) into 1 6.869 * [backup-simplify]: Simplify (- 1) into -1 6.869 * [backup-simplify]: Simplify (- n) into (- n) 6.869 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 6.869 * [taylor]: Taking taylor expansion of (- f n) in f 6.869 * [taylor]: Taking taylor expansion of f in f 6.869 * [backup-simplify]: Simplify 0 into 0 6.869 * [backup-simplify]: Simplify 1 into 1 6.869 * [taylor]: Taking taylor expansion of n in f 6.869 * [backup-simplify]: Simplify n into n 6.869 * [backup-simplify]: Simplify (* (sqrt (- n)) (sqrt (- n))) into (pow (sqrt (- n)) 2) 6.869 * [backup-simplify]: Simplify (- n) into (- n) 6.869 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.869 * [backup-simplify]: Simplify (/ (pow (sqrt (- n)) 2) (- n)) into (* -1 (/ (pow (sqrt (- n)) 2) n)) 6.869 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- n)) 2) n)) in n 6.869 * [taylor]: Taking taylor expansion of -1 in n 6.869 * [backup-simplify]: Simplify -1 into -1 6.869 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- n)) 2) n) in n 6.869 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 2) in n 6.869 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 6.869 * [taylor]: Taking taylor expansion of (- n) in n 6.869 * [taylor]: Taking taylor expansion of n in n 6.869 * [backup-simplify]: Simplify 0 into 0 6.869 * [backup-simplify]: Simplify 1 into 1 6.870 * [backup-simplify]: Simplify (- 0) into 0 6.870 * [backup-simplify]: Simplify (- 1) into -1 6.870 * [backup-simplify]: Simplify (sqrt 0) into 0 6.870 * [backup-simplify]: Simplify (- 1) into -1 6.871 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.871 * [taylor]: Taking taylor expansion of n in n 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify 1 into 1 6.871 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 6.872 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 6.872 * [backup-simplify]: Simplify (+ (* (sqrt (- n)) (/ -1/2 (sqrt (- n)))) (* (/ -1/2 (sqrt (- n))) (sqrt (- n)))) into (- 1) 6.872 * [backup-simplify]: Simplify (- 0) into 0 6.872 * [backup-simplify]: Simplify (+ 1 0) into 1 6.873 * [backup-simplify]: Simplify (- (/ (- 1) (- n)) (+ (* (* -1 (/ (pow (sqrt (- n)) 2) n)) (/ 1 (- n))))) into (- (/ 1 n) (/ (pow (sqrt (- n)) 2) (pow n 2))) 6.873 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ (pow (sqrt (- n)) 2) (pow n 2))) in n 6.873 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.873 * [taylor]: Taking taylor expansion of n in n 6.873 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify 1 into 1 6.873 * [backup-simplify]: Simplify (/ 1 1) into 1 6.873 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- n)) 2) (pow n 2)) in n 6.873 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 2) in n 6.873 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 6.873 * [taylor]: Taking taylor expansion of (- n) in n 6.873 * [taylor]: Taking taylor expansion of n in n 6.873 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify 1 into 1 6.873 * [backup-simplify]: Simplify (- 0) into 0 6.874 * [backup-simplify]: Simplify (- 1) into -1 6.874 * [backup-simplify]: Simplify (sqrt 0) into 0 6.874 * [backup-simplify]: Simplify (- 1) into -1 6.875 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.875 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.875 * [taylor]: Taking taylor expansion of n in n 6.875 * [backup-simplify]: Simplify 0 into 0 6.875 * [backup-simplify]: Simplify 1 into 1 6.875 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 6.876 * [backup-simplify]: Simplify (* 1 1) into 1 6.876 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 6.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.876 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.877 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 6.877 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.877 * [backup-simplify]: Simplify (* -1 +nan.0) into +nan.0 6.877 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.878 * [backup-simplify]: Simplify (+ 0 0) into 0 6.878 * [backup-simplify]: Simplify (- 0) into 0 6.878 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt (- n))) 2) (+)) (* 2 (sqrt (- n)))) into (/ -1/8 (pow (sqrt (- n)) 3)) 6.879 * [backup-simplify]: Simplify (+ (* (sqrt (- n)) (/ -1/8 (pow (sqrt (- n)) 3))) (+ (* (/ -1/2 (sqrt (- n))) (/ -1/2 (sqrt (- n)))) (* (/ -1/8 (pow (sqrt (- n)) 3)) (sqrt (- n))))) into 0 6.879 * [backup-simplify]: Simplify (- 0) into 0 6.879 * [backup-simplify]: Simplify (+ 0 0) into 0 6.880 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (/ (pow (sqrt (- n)) 2) n)) (/ 0 (- n))) (* (- (/ 1 n) (/ (pow (sqrt (- n)) 2) (pow n 2))) (/ 1 (- n))))) into (- (/ 1 (pow n 2)) (/ (pow (sqrt (- n)) 2) (pow n 3))) 6.880 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ (pow (sqrt (- n)) 2) (pow n 3))) in n 6.880 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.880 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.880 * [taylor]: Taking taylor expansion of n in n 6.880 * [backup-simplify]: Simplify 0 into 0 6.880 * [backup-simplify]: Simplify 1 into 1 6.880 * [backup-simplify]: Simplify (* 1 1) into 1 6.880 * [backup-simplify]: Simplify (/ 1 1) into 1 6.880 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- n)) 2) (pow n 3)) in n 6.880 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 2) in n 6.880 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 6.880 * [taylor]: Taking taylor expansion of (- n) in n 6.880 * [taylor]: Taking taylor expansion of n in n 6.880 * [backup-simplify]: Simplify 0 into 0 6.880 * [backup-simplify]: Simplify 1 into 1 6.881 * [backup-simplify]: Simplify (- 0) into 0 6.881 * [backup-simplify]: Simplify (- 1) into -1 6.881 * [backup-simplify]: Simplify (sqrt 0) into 0 6.881 * [backup-simplify]: Simplify (- 1) into -1 6.882 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.882 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.882 * [taylor]: Taking taylor expansion of n in n 6.882 * [backup-simplify]: Simplify 0 into 0 6.882 * [backup-simplify]: Simplify 1 into 1 6.882 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 6.883 * [backup-simplify]: Simplify (* 1 1) into 1 6.883 * [backup-simplify]: Simplify (* 1 1) into 1 6.883 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 6.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.885 * [backup-simplify]: Simplify (- 0) into 0 6.887 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.887 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 6.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.889 * [backup-simplify]: Simplify (- (/ (- +nan.0) 1) (+ (* +nan.0 (/ 0 1)))) into (- +nan.0) 6.890 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 6.890 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 6.890 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.891 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 f) 2)) (+ (* +nan.0 (* n 1)) (* (- +nan.0) (* 1 f)))) into (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) 6.891 * [backup-simplify]: Simplify (* (sqrt (- (+ (/ 1 f) (/ 1 n)))) (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n)))) into (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) 6.891 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in (f n) around 0 6.892 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in n 6.892 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in n 6.892 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 6.892 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 6.892 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.892 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.892 * [taylor]: Taking taylor expansion of f in n 6.892 * [backup-simplify]: Simplify f into f 6.892 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.892 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.892 * [taylor]: Taking taylor expansion of n in n 6.892 * [backup-simplify]: Simplify 0 into 0 6.892 * [backup-simplify]: Simplify 1 into 1 6.892 * [backup-simplify]: Simplify (/ 1 1) into 1 6.892 * [backup-simplify]: Simplify (+ 0 1) into 1 6.892 * [backup-simplify]: Simplify (- 1) into -1 6.893 * [backup-simplify]: Simplify (sqrt 0) into 0 6.893 * [backup-simplify]: Simplify (- 1) into -1 6.894 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.894 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.894 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.894 * [taylor]: Taking taylor expansion of f in n 6.894 * [backup-simplify]: Simplify f into f 6.894 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.894 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.894 * [taylor]: Taking taylor expansion of n in n 6.894 * [backup-simplify]: Simplify 0 into 0 6.894 * [backup-simplify]: Simplify 1 into 1 6.894 * [backup-simplify]: Simplify (/ 1 1) into 1 6.894 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 6.894 * [backup-simplify]: Simplify (- 1) into -1 6.895 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.895 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 6.895 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in f 6.895 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 6.895 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 6.895 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 6.895 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.895 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.895 * [taylor]: Taking taylor expansion of f in f 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify 1 into 1 6.895 * [backup-simplify]: Simplify (/ 1 1) into 1 6.895 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.895 * [taylor]: Taking taylor expansion of n in f 6.896 * [backup-simplify]: Simplify n into n 6.896 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.896 * [backup-simplify]: Simplify (+ 1 0) into 1 6.896 * [backup-simplify]: Simplify (- 1) into -1 6.896 * [backup-simplify]: Simplify (sqrt 0) into 0 6.897 * [backup-simplify]: Simplify (- 1) into -1 6.897 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.897 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.897 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.897 * [taylor]: Taking taylor expansion of f in f 6.897 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify 1 into 1 6.898 * [backup-simplify]: Simplify (/ 1 1) into 1 6.898 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.898 * [taylor]: Taking taylor expansion of n in f 6.898 * [backup-simplify]: Simplify n into n 6.898 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.898 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 6.898 * [backup-simplify]: Simplify (+ 1 0) into 1 6.898 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 6.898 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in f 6.898 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 6.898 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 6.898 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 6.898 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.898 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.899 * [taylor]: Taking taylor expansion of f in f 6.899 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify 1 into 1 6.899 * [backup-simplify]: Simplify (/ 1 1) into 1 6.899 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.899 * [taylor]: Taking taylor expansion of n in f 6.899 * [backup-simplify]: Simplify n into n 6.899 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.899 * [backup-simplify]: Simplify (+ 1 0) into 1 6.899 * [backup-simplify]: Simplify (- 1) into -1 6.900 * [backup-simplify]: Simplify (sqrt 0) into 0 6.900 * [backup-simplify]: Simplify (- 1) into -1 6.900 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.900 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.900 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.901 * [taylor]: Taking taylor expansion of f in f 6.901 * [backup-simplify]: Simplify 0 into 0 6.901 * [backup-simplify]: Simplify 1 into 1 6.901 * [backup-simplify]: Simplify (/ 1 1) into 1 6.901 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.901 * [taylor]: Taking taylor expansion of n in f 6.901 * [backup-simplify]: Simplify n into n 6.901 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.901 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 6.901 * [backup-simplify]: Simplify (+ 1 0) into 1 6.902 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 6.902 * [taylor]: Taking taylor expansion of +nan.0 in n 6.902 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.902 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.902 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.903 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 6.904 * [backup-simplify]: Simplify (+ (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0)))) (* (* +nan.0 (+ (/ 1 n) (- +nan.0))) +nan.0)) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 6.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.904 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.904 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.905 * [backup-simplify]: Simplify (- (/ (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 1) (+ (* +nan.0 (/ (- (/ 1 n)) 1)))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 6.905 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 6.905 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 6.905 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 6.905 * [taylor]: Taking taylor expansion of +nan.0 in n 6.905 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.905 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.905 * [taylor]: Taking taylor expansion of n in n 6.905 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify 1 into 1 6.905 * [backup-simplify]: Simplify (/ 1 1) into 1 6.905 * [taylor]: Taking taylor expansion of (- +nan.0) in n 6.905 * [taylor]: Taking taylor expansion of +nan.0 in n 6.905 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.907 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 6.907 * [backup-simplify]: Simplify (- 0) into 0 6.907 * [backup-simplify]: Simplify (+ 0 0) into 0 6.907 * [backup-simplify]: Simplify (- 0) into 0 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.908 * [backup-simplify]: Simplify (+ 0 0) into 0 6.908 * [backup-simplify]: Simplify (- 0) into 0 6.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 6.910 * [backup-simplify]: Simplify (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) (+ (* (* +nan.0 (+ (/ 1 n) (- +nan.0))) (* +nan.0 (+ (/ 1 n) (- +nan.0)))) (* (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 6.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.911 * [backup-simplify]: Simplify (- 0) into 0 6.911 * [backup-simplify]: Simplify (+ 0 0) into 0 6.912 * [backup-simplify]: Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 1) (+ (* +nan.0 (/ 0 1)) (* (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) (/ (- (/ 1 n)) 1)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 6.912 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 6.912 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 6.912 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 6.912 * [taylor]: Taking taylor expansion of +nan.0 in n 6.912 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.912 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.912 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.912 * [taylor]: Taking taylor expansion of n in n 6.912 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify 1 into 1 6.913 * [backup-simplify]: Simplify (* 1 1) into 1 6.913 * [backup-simplify]: Simplify (/ 1 1) into 1 6.913 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 6.913 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 6.913 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 6.913 * [taylor]: Taking taylor expansion of +nan.0 in n 6.913 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.913 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.913 * [taylor]: Taking taylor expansion of n in n 6.913 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify 1 into 1 6.913 * [backup-simplify]: Simplify (/ 1 1) into 1 6.913 * [taylor]: Taking taylor expansion of (- +nan.0) in n 6.913 * [taylor]: Taking taylor expansion of +nan.0 in n 6.913 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.917 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.918 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 6.918 * [backup-simplify]: Simplify (- 0) into 0 6.919 * [backup-simplify]: Simplify (+ 0 0) into 0 6.919 * [backup-simplify]: Simplify (- 0) into 0 6.919 * [backup-simplify]: Simplify (+ 0 0) into 0 6.919 * [backup-simplify]: Simplify (- 0) into 0 6.919 * [backup-simplify]: Simplify 0 into 0 6.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.920 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.920 * [backup-simplify]: Simplify (- 0) into 0 6.921 * [backup-simplify]: Simplify (+ 0 0) into 0 6.921 * [backup-simplify]: Simplify (- 0) into 0 6.921 * [backup-simplify]: Simplify 0 into 0 6.921 * [backup-simplify]: Simplify 0 into 0 6.921 * [backup-simplify]: Simplify 0 into 0 6.921 * [backup-simplify]: Simplify (* (sqrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (/ (sqrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.921 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.921 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.921 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.921 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.921 * [taylor]: Taking taylor expansion of f in n 6.921 * [backup-simplify]: Simplify f into f 6.921 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.921 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.921 * [taylor]: Taking taylor expansion of n in n 6.922 * [backup-simplify]: Simplify 0 into 0 6.922 * [backup-simplify]: Simplify 1 into 1 6.922 * [backup-simplify]: Simplify (/ 1 1) into 1 6.922 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.922 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.922 * [taylor]: Taking taylor expansion of n in n 6.922 * [backup-simplify]: Simplify 0 into 0 6.922 * [backup-simplify]: Simplify 1 into 1 6.922 * [backup-simplify]: Simplify (/ 1 1) into 1 6.922 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.922 * [taylor]: Taking taylor expansion of f in n 6.922 * [backup-simplify]: Simplify f into f 6.922 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.922 * [backup-simplify]: Simplify (+ 0 1) into 1 6.923 * [backup-simplify]: Simplify (+ 1 0) into 1 6.923 * [backup-simplify]: Simplify (/ 1 1) into 1 6.923 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.923 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.923 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.923 * [taylor]: Taking taylor expansion of f in f 6.923 * [backup-simplify]: Simplify 0 into 0 6.923 * [backup-simplify]: Simplify 1 into 1 6.923 * [backup-simplify]: Simplify (/ 1 1) into 1 6.923 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.923 * [taylor]: Taking taylor expansion of n in f 6.923 * [backup-simplify]: Simplify n into n 6.923 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.923 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.923 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.923 * [taylor]: Taking taylor expansion of n in f 6.923 * [backup-simplify]: Simplify n into n 6.923 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.923 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.923 * [taylor]: Taking taylor expansion of f in f 6.923 * [backup-simplify]: Simplify 0 into 0 6.923 * [backup-simplify]: Simplify 1 into 1 6.924 * [backup-simplify]: Simplify (/ 1 1) into 1 6.924 * [backup-simplify]: Simplify (+ 1 0) into 1 6.924 * [backup-simplify]: Simplify (- 1) into -1 6.924 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.925 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.925 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.925 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.925 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.925 * [taylor]: Taking taylor expansion of f in f 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify 1 into 1 6.925 * [backup-simplify]: Simplify (/ 1 1) into 1 6.925 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.925 * [taylor]: Taking taylor expansion of n in f 6.925 * [backup-simplify]: Simplify n into n 6.925 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.925 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.925 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.925 * [taylor]: Taking taylor expansion of n in f 6.925 * [backup-simplify]: Simplify n into n 6.925 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.925 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.925 * [taylor]: Taking taylor expansion of f in f 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify 1 into 1 6.926 * [backup-simplify]: Simplify (/ 1 1) into 1 6.926 * [backup-simplify]: Simplify (+ 1 0) into 1 6.926 * [backup-simplify]: Simplify (- 1) into -1 6.926 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.927 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.927 * [taylor]: Taking taylor expansion of -1 in n 6.927 * [backup-simplify]: Simplify -1 into -1 6.927 * [backup-simplify]: Simplify -1 into -1 6.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.927 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.928 * [backup-simplify]: Simplify (- 0) into 0 6.928 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.928 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.928 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.928 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.928 * [taylor]: Taking taylor expansion of 2 in n 6.928 * [backup-simplify]: Simplify 2 into 2 6.928 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.928 * [taylor]: Taking taylor expansion of n in n 6.928 * [backup-simplify]: Simplify 0 into 0 6.928 * [backup-simplify]: Simplify 1 into 1 6.928 * [backup-simplify]: Simplify (/ 1 1) into 1 6.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.929 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.929 * [backup-simplify]: Simplify (- 0) into 0 6.929 * [backup-simplify]: Simplify 0 into 0 6.929 * [backup-simplify]: Simplify 0 into 0 6.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.930 * [backup-simplify]: Simplify (+ 0 0) into 0 6.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.931 * [backup-simplify]: Simplify (- 0) into 0 6.931 * [backup-simplify]: Simplify (+ 0 0) into 0 6.932 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.932 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.932 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.932 * [taylor]: Taking taylor expansion of 2 in n 6.932 * [backup-simplify]: Simplify 2 into 2 6.932 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.932 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.932 * [taylor]: Taking taylor expansion of n in n 6.932 * [backup-simplify]: Simplify 0 into 0 6.932 * [backup-simplify]: Simplify 1 into 1 6.932 * [backup-simplify]: Simplify (* 1 1) into 1 6.933 * [backup-simplify]: Simplify (/ 1 1) into 1 6.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.935 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.935 * [backup-simplify]: Simplify (- 0) into 0 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.936 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.936 * [backup-simplify]: Simplify (- 0) into 0 6.936 * [backup-simplify]: Simplify 0 into 0 6.936 * [backup-simplify]: Simplify 0 into 0 6.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.937 * [backup-simplify]: Simplify (+ 0 0) into 0 6.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.938 * [backup-simplify]: Simplify (- 0) into 0 6.938 * [backup-simplify]: Simplify (+ 0 0) into 0 6.939 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.939 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.939 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.939 * [taylor]: Taking taylor expansion of 2 in n 6.939 * [backup-simplify]: Simplify 2 into 2 6.939 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.939 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.939 * [taylor]: Taking taylor expansion of n in n 6.939 * [backup-simplify]: Simplify 0 into 0 6.939 * [backup-simplify]: Simplify 1 into 1 6.939 * [backup-simplify]: Simplify (* 1 1) into 1 6.940 * [backup-simplify]: Simplify (* 1 1) into 1 6.940 * [backup-simplify]: Simplify (/ 1 1) into 1 6.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.945 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.945 * [backup-simplify]: Simplify (- 0) into 0 6.945 * [backup-simplify]: Simplify 0 into 0 6.945 * [backup-simplify]: Simplify -1 into -1 6.945 * * * [progress]: simplifying candidates 6.953 * [simplify]: Simplifying: (- (log (sqrt (- (+ f n)))) (log (- f n))) (log (/ (sqrt (- (+ f n))) (- f n))) (exp (/ (sqrt (- (+ f n))) (- f n))) (/ (* (* (sqrt (- (+ f n))) (sqrt (- (+ f n)))) (sqrt (- (+ f n)))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (sqrt (- (+ f n))) (- f n))) (cbrt (/ (sqrt (- (+ f n))) (- f n)))) (cbrt (/ (sqrt (- (+ f n))) (- f n))) (* (* (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (- f n))) (/ (sqrt (- (+ f n))) (- f n))) (sqrt (/ (sqrt (- (+ f n))) (- f n))) (sqrt (/ (sqrt (- (+ f n))) (- f n))) (- (sqrt (- (+ f n)))) (- (- f n)) (/ (* (cbrt (sqrt (- (+ f n)))) (cbrt (sqrt (- (+ f n))))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (sqrt (- (+ f n)))) (cbrt (- f n))) (/ (* (cbrt (sqrt (- (+ f n)))) (cbrt (sqrt (- (+ f n))))) (sqrt (- f n))) (/ (cbrt (sqrt (- (+ f n)))) (sqrt (- f n))) (/ (* (cbrt (sqrt (- (+ f n)))) (cbrt (sqrt (- (+ f n))))) 1) (/ (cbrt (sqrt (- (+ f n)))) (- f n)) (/ (* (cbrt (sqrt (- (+ f n)))) (cbrt (sqrt (- (+ f n))))) (+ (sqrt f) (sqrt n))) (/ (cbrt (sqrt (- (+ f n)))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (sqrt (- (+ f n)))) (cbrt (sqrt (- (+ f n))))) 1) (/ (cbrt (sqrt (- (+ f n)))) (- f n)) (/ (sqrt (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt 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2)))))))) (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) 0 -1 6.959 * * [simplify]: Extracting # 0 : cost 0 6.959 * * [simplify]: Extracting # 1 : cost 0 6.960 * * [simplify]: Extracting # 2 : cost 0 6.960 * * [simplify]: Extracting # 3 : cost 0 6.960 * * [simplify]: Extracting # 4 : cost 0 6.961 * * [simplify]: Extracting # 5 : cost 0 6.961 * * [simplify]: Extracting # 6 : cost 0 6.961 * * [simplify]: Extracting # 7 : cost 0 6.962 * * [simplify]: Extracting # 8 : cost 0 6.962 * * [simplify]: iteration 0 : 270 enodes (cost 4193 ) 7.042 * * [simplify]: Extracting # 0 : cost 0 7.043 * * [simplify]: Extracting # 1 : cost 0 7.044 * * [simplify]: Extracting # 2 : cost 0 7.044 * * [simplify]: Extracting # 3 : cost 0 7.045 * * [simplify]: Extracting # 4 : cost 0 7.046 * * [simplify]: iteration 1 : 574 enodes (cost 3664 ) 7.196 * * [simplify]: Extracting # 0 : cost 0 7.203 * * [simplify]: Extracting # 1 : cost 0 7.205 * * [simplify]: Extracting # 2 : cost 0 7.207 * * [simplify]: Extracting # 3 : cost 0 7.209 * * [simplify]: Extracting # 4 : cost 0 7.211 * * [simplify]: iteration 2 : 1712 enodes (cost 3506 ) 8.074 * * [simplify]: Extracting # 0 : cost 0 8.081 * * [simplify]: Extracting # 1 : cost 0 8.086 * * [simplify]: Extracting # 2 : cost 0 8.092 * * [simplify]: Extracting # 3 : cost 0 8.102 * * [simplify]: Extracting # 4 : cost 0 8.107 * * [simplify]: iteration done: 5000 enodes (cost 3452 ) 8.109 * [simplify]: Simplified to: (log (/ (sqrt (- (+ f n))) (- f n))) (log (/ (sqrt (- (+ f n))) (- f n))) (exp (/ (sqrt (- (+ f n))) (- f n))) (pow (/ (sqrt (- (+ f n))) (- f n)) 3) (* (cbrt (/ (sqrt (- (+ f n))) (- f n))) (cbrt (/ (sqrt (- (+ f n))) (- f n)))) (cbrt (/ (sqrt (- (+ f n))) (- f n))) (pow (/ (sqrt (- (+ f n))) (- f n)) 3) (sqrt (/ (sqrt (- (+ f n))) (- f n))) (sqrt (/ (sqrt (- (+ f n))) (- f n))) (- (sqrt (- (+ f n)))) (- n f) (/ (cbrt (sqrt (- (+ f n)))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (cbrt (sqrt (- (+ f n)))))) (/ (cbrt (sqrt (- (+ 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n)))) (* (sqrt (sqrt (+ f n))) (sqrt (- (+ f n)))) (/ (/ (sqrt (- (+ f n))) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (/ (sqrt (- (+ f n))) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (pow (sqrt (sqrt (- (+ f n)))) 3) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (pow (sqrt (sqrt (- (+ f n)))) 3) (sqrt (- f n))) (pow (sqrt (sqrt (- (+ f n)))) 3) (/ (pow (sqrt (sqrt (- (+ f n)))) 3) (+ (sqrt f) (sqrt n))) (pow (sqrt (sqrt (- (+ f n)))) 3) (/ (/ (sqrt (- (+ f n))) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (sqrt (- (+ f n))) (- (+ f n)) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (cbrt (sqrt (- (+ f n)))) (/ (sqrt (- (+ f n))) (- f n))) (* (sqrt (cbrt (- (+ f n)))) (/ (sqrt (- (+ f n))) (- f n))) (/ (pow (sqrt (sqrt (- (+ f n)))) 3) (- f n)) (/ (- (+ f n)) (- f n)) (* (sqrt (+ f n)) (/ (sqrt (- (+ f n))) (- f n))) (* (sqrt (cbrt (+ f n))) (/ (sqrt (- (+ f n))) (- f n))) (* (sqrt (sqrt (+ f n))) (/ (sqrt (- (+ f n))) (- f n))) (* (sqrt (+ f n)) (/ (sqrt (- (+ f n))) (- f n))) (* (sqrt (+ f n)) (/ (sqrt (- (+ f n))) (- f n))) (* (sqrt (- (cbrt (+ f n)))) (/ (sqrt (- (+ f n))) (- f n))) (* (sqrt (- (sqrt (+ f n)))) (/ (sqrt (- (+ f n))) (- f n))) (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)) (/ (pow (sqrt (sqrt (- (+ f n)))) 3) (- f n)) (/ (- (+ f n)) (- f n)) (- (+ f n)) (* (sqrt (- (+ (pow f 3) (pow n 3)))) (/ (sqrt (- (+ f n))) (- f n))) (/ (* (sqrt (* (- n f) (+ f n))) (sqrt (- (+ f n)))) (- f n)) (- (* +nan.0 (- f n)) +nan.0) 0 (+ (- (/ +nan.0 (pow f 3)) (/ +nan.0 (* f f))) (/ (- +nan.0) f)) (* +nan.0 (+ (- n f) (- (* f f)))) 0 -1 8.110 * * * [progress]: adding candidates to table 8.491 * [progress]: [Phase 3 of 3] Extracting. 8.491 * * [regime]: Finding splitpoints for: (# # #) 8.492 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 8.492 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 8.506 * * * * [regimes]: Trying to branch on n from (# # #) 8.520 * * * * [regimes]: Trying to branch on f from (# # #) 8.538 * * * [regime]: Found split indices: #