0.748 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.312 * * * [progress]: [2/2] Setting up program. 0.315 * [progress]: [Phase 2 of 3] Improving. 0.317 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.318 * [simplify]: Sending expressions to egg_math: (/ (- (+ h1 h0)) (- h1 h0)) 0.321 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.322 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.323 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.324 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.326 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.327 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.328 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.330 * * [progress]: iteration 1 / 4 0.330 * * * [progress]: picking best candidate 0.331 * * * * [pick]: Picked # 0.332 * * * [progress]: localizing error 0.340 * * * [progress]: generating rewritten candidates 0.340 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.404 * * * [progress]: generating series expansions 0.404 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.409 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.409 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.410 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.410 * [taylor]: Taking taylor expansion of -1 in n 0.410 * [backup-simplify]: Simplify -1 into -1 0.410 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.410 * [taylor]: Taking taylor expansion of (+ n f) in n 0.410 * [taylor]: Taking taylor expansion of n in n 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [taylor]: Taking taylor expansion of f in n 0.410 * [backup-simplify]: Simplify f into f 0.411 * [taylor]: Taking taylor expansion of (- f n) in n 0.411 * [taylor]: Taking taylor expansion of f in n 0.411 * [backup-simplify]: Simplify f into f 0.411 * [taylor]: Taking taylor expansion of n in n 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (+ 0 f) into f 0.412 * [backup-simplify]: Simplify (- 0) into 0 0.412 * [backup-simplify]: Simplify (+ f 0) into f 0.412 * [backup-simplify]: Simplify (/ f f) into 1 0.412 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.412 * [taylor]: Taking taylor expansion of -1 in f 0.412 * [backup-simplify]: Simplify -1 into -1 0.412 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.412 * [taylor]: Taking taylor expansion of (+ n f) in f 0.412 * [taylor]: Taking taylor expansion of n in f 0.412 * [backup-simplify]: Simplify n into n 0.412 * [taylor]: Taking taylor expansion of f in f 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of (- f n) in f 0.412 * [taylor]: Taking taylor expansion of f in f 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of n in f 0.412 * [backup-simplify]: Simplify n into n 0.412 * [backup-simplify]: Simplify (+ n 0) into n 0.412 * [backup-simplify]: Simplify (- n) into (- n) 0.412 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.412 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.412 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.412 * [taylor]: Taking taylor expansion of -1 in f 0.412 * [backup-simplify]: Simplify -1 into -1 0.412 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.412 * [taylor]: Taking taylor expansion of (+ n f) in f 0.412 * [taylor]: Taking taylor expansion of n in f 0.412 * [backup-simplify]: Simplify n into n 0.412 * [taylor]: Taking taylor expansion of f in f 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of (- f n) in f 0.412 * [taylor]: Taking taylor expansion of f in f 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of n in f 0.412 * [backup-simplify]: Simplify n into n 0.412 * [backup-simplify]: Simplify (+ n 0) into n 0.412 * [backup-simplify]: Simplify (- n) into (- n) 0.412 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.413 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.413 * [backup-simplify]: Simplify (* -1 -1) into 1 0.413 * [taylor]: Taking taylor expansion of 1 in n 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (+ 0 1) into 1 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ 1 0) into 1 0.415 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.415 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.415 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.415 * [taylor]: Taking taylor expansion of 2 in n 0.415 * [backup-simplify]: Simplify 2 into 2 0.415 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.415 * [taylor]: Taking taylor expansion of n in n 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify (- 0) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.419 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.419 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.419 * [taylor]: Taking taylor expansion of 2 in n 0.419 * [backup-simplify]: Simplify 2 into 2 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.419 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.419 * [taylor]: Taking taylor expansion of n in n 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (* 1 1) into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [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)))) 0.426 * [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))) 0.426 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.426 * [taylor]: Taking taylor expansion of 2 in n 0.426 * [backup-simplify]: Simplify 2 into 2 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.426 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.426 * [taylor]: Taking taylor expansion of n in n 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (* 1 1) into 1 0.426 * [backup-simplify]: Simplify (* 1 1) into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.432 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.432 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.432 * [taylor]: Taking taylor expansion of -1 in n 0.432 * [backup-simplify]: Simplify -1 into -1 0.432 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.432 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.432 * [taylor]: Taking taylor expansion of f in n 0.432 * [backup-simplify]: Simplify f into f 0.432 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.432 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.432 * [taylor]: Taking taylor expansion of n in n 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.432 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.432 * [taylor]: Taking taylor expansion of f in n 0.432 * [backup-simplify]: Simplify f into f 0.433 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.433 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.433 * [taylor]: Taking taylor expansion of n in n 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [backup-simplify]: Simplify (+ 0 1) into 1 0.433 * [backup-simplify]: Simplify (- 1) into -1 0.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.434 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.434 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.434 * [taylor]: Taking taylor expansion of -1 in f 0.434 * [backup-simplify]: Simplify -1 into -1 0.434 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.434 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.434 * [taylor]: Taking taylor expansion of f in f 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.434 * [taylor]: Taking taylor expansion of n in f 0.434 * [backup-simplify]: Simplify n into n 0.434 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.434 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.434 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.434 * [taylor]: Taking taylor expansion of f in f 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.435 * [taylor]: Taking taylor expansion of n in f 0.435 * [backup-simplify]: Simplify n into n 0.435 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.435 * [backup-simplify]: Simplify (+ 1 0) into 1 0.435 * [backup-simplify]: Simplify (+ 1 0) into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.435 * [taylor]: Taking taylor expansion of -1 in f 0.436 * [backup-simplify]: Simplify -1 into -1 0.436 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.436 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.436 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.436 * [taylor]: Taking taylor expansion of n in f 0.436 * [backup-simplify]: Simplify n into n 0.436 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.436 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.436 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.436 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.436 * [taylor]: Taking taylor expansion of n in f 0.436 * [backup-simplify]: Simplify n into n 0.436 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.437 * [backup-simplify]: Simplify (+ 1 0) into 1 0.437 * [backup-simplify]: Simplify (+ 1 0) into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [backup-simplify]: Simplify (* -1 1) into -1 0.437 * [taylor]: Taking taylor expansion of -1 in n 0.437 * [backup-simplify]: Simplify -1 into -1 0.437 * [backup-simplify]: Simplify -1 into -1 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.438 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.439 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.439 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.439 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.439 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.439 * [taylor]: Taking taylor expansion of 2 in n 0.439 * [backup-simplify]: Simplify 2 into 2 0.439 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.439 * [taylor]: Taking taylor expansion of n in n 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.440 * [backup-simplify]: Simplify (- 0) into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.442 * [backup-simplify]: Simplify (- 0) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.443 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.443 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.443 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.443 * [taylor]: Taking taylor expansion of 2 in n 0.444 * [backup-simplify]: Simplify 2 into 2 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.444 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.444 * [taylor]: Taking taylor expansion of n in n 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.447 * [backup-simplify]: Simplify (- 0) into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.448 * [backup-simplify]: Simplify (- 0) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.450 * [backup-simplify]: Simplify (- 0) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [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))) 0.452 * [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)))) 0.452 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.452 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.452 * [taylor]: Taking taylor expansion of 2 in n 0.452 * [backup-simplify]: Simplify 2 into 2 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.452 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.452 * [taylor]: Taking taylor expansion of n in n 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (* 1 1) into 1 0.452 * [backup-simplify]: Simplify (* 1 1) into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify -1 into -1 0.459 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.459 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.459 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.459 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.459 * [taylor]: Taking taylor expansion of f in n 0.459 * [backup-simplify]: Simplify f into f 0.459 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.459 * [taylor]: Taking taylor expansion of (/ 1 n) 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 0.459 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.459 * [taylor]: Taking taylor expansion of (/ 1 n) 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 0.459 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.459 * [taylor]: Taking taylor expansion of f in n 0.459 * [backup-simplify]: Simplify f into f 0.459 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.460 * [backup-simplify]: Simplify (+ 0 1) into 1 0.460 * [backup-simplify]: Simplify (+ 1 0) into 1 0.460 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.460 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.460 * [taylor]: Taking taylor expansion of f in f 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.461 * [taylor]: Taking taylor expansion of n in f 0.461 * [backup-simplify]: Simplify n into n 0.461 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.461 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.461 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.461 * [taylor]: Taking taylor expansion of n in f 0.461 * [backup-simplify]: Simplify n into n 0.461 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.461 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.461 * [taylor]: Taking taylor expansion of f in f 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [backup-simplify]: Simplify (+ 1 0) into 1 0.461 * [backup-simplify]: Simplify (- 1) into -1 0.462 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.462 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.462 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.462 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.462 * [taylor]: Taking taylor expansion of f in f 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.462 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.462 * [taylor]: Taking taylor expansion of n in f 0.462 * [backup-simplify]: Simplify n into n 0.462 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.462 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.462 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.462 * [taylor]: Taking taylor expansion of n in f 0.462 * [backup-simplify]: Simplify n into n 0.462 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.462 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.462 * [taylor]: Taking taylor expansion of f in f 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [backup-simplify]: Simplify (+ 1 0) into 1 0.463 * [backup-simplify]: Simplify (- 1) into -1 0.463 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.464 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.464 * [taylor]: Taking taylor expansion of -1 in n 0.464 * [backup-simplify]: Simplify -1 into -1 0.464 * [backup-simplify]: Simplify -1 into -1 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- 0) into 0 0.465 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.465 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.465 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.465 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.465 * [taylor]: Taking taylor expansion of 2 in n 0.465 * [backup-simplify]: Simplify 2 into 2 0.465 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.465 * [taylor]: Taking taylor expansion of n in n 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.471 * [backup-simplify]: Simplify (- 0) into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.474 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.474 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.474 * [taylor]: Taking taylor expansion of 2 in n 0.474 * [backup-simplify]: Simplify 2 into 2 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.474 * [taylor]: Taking taylor expansion of (pow n 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.477 * [backup-simplify]: Simplify (- 0) into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.478 * [backup-simplify]: Simplify (- 0) into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.479 * [backup-simplify]: Simplify (+ 0 0) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (- 0) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [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)))) 0.481 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.481 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.481 * [taylor]: Taking taylor expansion of 2 in n 0.481 * [backup-simplify]: Simplify 2 into 2 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.481 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.481 * [taylor]: Taking taylor expansion of n in n 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (* 1 1) into 1 0.482 * [backup-simplify]: Simplify (* 1 1) into 1 0.482 * [backup-simplify]: Simplify (/ 1 1) into 1 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify -1 into -1 0.487 * * * [progress]: simplifying candidates 0.489 * [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 0.489 * [simplify]: Sending expressions to egg_math: (- (log (- (+ h1 h0))) (log (- h1 h0))) (log (/ (- (+ h1 h0)) (- h1 h0))) (exp (/ (- (+ h1 h0)) (- h1 h0))) (/ (* (* (- (+ h1 h0)) (- (+ h1 h0))) (- (+ h1 h0))) (* (* (- h1 h0) (- h1 h0)) (- h1 h0))) (* (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (* (* (/ (- (+ h1 h0)) (- h1 h0)) (/ (- (+ h1 h0)) (- h1 h0))) (/ (- (+ h1 h0)) (- h1 h0))) (sqrt (/ (- (+ h1 h0)) (- h1 h0))) (sqrt (/ (- (+ h1 h0)) (- h1 h0))) (- (- (+ h1 h0))) (- (- h1 h0)) (/ 0 (- h1 h0)) (/ (+ h1 h0) (- h1 h0)) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (cbrt (- (+ h1 h0))) (cbrt (- h1 h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (sqrt (- h1 h0))) (/ (cbrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) 1) (/ (cbrt (- (+ h1 h0))) (- h1 h0)) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (+ (sqrt h1) (sqrt h0))) (/ (cbrt (- (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) 1) (/ (cbrt (- (+ h1 h0))) (- h1 h0)) (/ (sqrt (- (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (sqrt (- (+ h1 h0))) (cbrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) 1) (/ (sqrt (- (+ h1 h0))) (- h1 h0)) (/ (sqrt (- (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (sqrt (- (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (sqrt (- (+ h1 h0))) 1) (/ (sqrt (- (+ h1 h0))) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ -1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ -1 (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ -1 1) (/ (+ h1 h0) (- h1 h0)) (/ -1 (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ -1 1) (/ (+ h1 h0) (- h1 h0)) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (cbrt (+ h1 h0)) (cbrt (- h1 h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (sqrt (- h1 h0))) (/ (cbrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) 1) (/ (cbrt (+ h1 h0)) (- h1 h0)) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (+ (sqrt h1) (sqrt h0))) (/ (cbrt (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) 1) (/ (cbrt (+ h1 h0)) (- h1 h0)) (/ (- (sqrt (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (sqrt (+ h1 h0)) (cbrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) 1) (/ (sqrt (+ h1 h0)) (- h1 h0)) (/ (- (sqrt (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (sqrt (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ (- (sqrt (+ h1 h0))) 1) (/ (sqrt (+ h1 h0)) (- h1 h0)) (/ (- 1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ (- 1) (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ (- 1) (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (cbrt (+ h1 h0))) (cbrt (- h1 h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (- (cbrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) (/ (- (cbrt (+ h1 h0))) (- h1 h0)) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (- (cbrt (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) (/ (- (cbrt (+ h1 h0))) (- h1 h0)) (/ (sqrt (+ h1 h0)) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (sqrt (+ h1 h0))) (cbrt (- h1 h0))) (/ (sqrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (+ h1 h0)) 1) (/ (- (sqrt (+ h1 h0))) (- h1 h0)) (/ (sqrt (+ h1 h0)) (+ (sqrt h1) (sqrt h0))) (/ (- (sqrt (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (sqrt (+ h1 h0)) 1) (/ (- (sqrt (+ h1 h0))) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (- h1 h0)) (/ (- h1 h0) (- (+ h1 h0))) (/ (+ h1 h0) (- h1 h0)) (/ (- (+ h1 h0)) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (+ h1 h0)) 1) (/ (- (+ h1 h0)) (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) 1) (/ (- h1 h0) (cbrt (- (+ h1 h0)))) (/ (- h1 h0) (sqrt (- (+ h1 h0)))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (cbrt (+ h1 h0))) (/ (- h1 h0) (sqrt (+ h1 h0))) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (- (cbrt (+ h1 h0)))) (/ (- h1 h0) (- (sqrt (+ h1 h0)))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- (+ h1 h0)) (- (pow h1 3) (pow h0 3))) (/ (- (+ h1 h0)) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- h1 h0) (- h1 h0)) 1 -1 -1 0.493 * * [simplify]: iteration 0 : 288 enodes (cost 764 ) 0.498 * * [simplify]: iteration 1 : 915 enodes (cost 748 ) 0.511 * * [simplify]: iteration 2 : 2934 enodes (cost 733 ) 0.548 * * [simplify]: iteration 3 : 5002 enodes (cost 733 ) 0.552 * * * [progress]: adding candidates to table 0.688 * * [progress]: iteration 2 / 4 0.689 * * * [progress]: picking best candidate 0.695 * * * * [pick]: Picked # 0.695 * * * [progress]: localizing error 0.704 * * * [progress]: generating rewritten candidates 0.704 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.734 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.770 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.831 * * * [progress]: generating series expansions 0.831 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.831 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.831 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.831 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.831 * [taylor]: Taking taylor expansion of -1 in n 0.831 * [backup-simplify]: Simplify -1 into -1 0.831 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.831 * [taylor]: Taking taylor expansion of (+ n f) in n 0.831 * [taylor]: Taking taylor expansion of n in n 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 1 into 1 0.831 * [taylor]: Taking taylor expansion of f in n 0.831 * [backup-simplify]: Simplify f into f 0.831 * [taylor]: Taking taylor expansion of (- f n) in n 0.832 * [taylor]: Taking taylor expansion of f in n 0.832 * [backup-simplify]: Simplify f into f 0.832 * [taylor]: Taking taylor expansion of n in n 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [backup-simplify]: Simplify (+ 0 f) into f 0.832 * [backup-simplify]: Simplify (- 0) into 0 0.832 * [backup-simplify]: Simplify (+ f 0) into f 0.832 * [backup-simplify]: Simplify (/ f f) into 1 0.832 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.832 * [taylor]: Taking taylor expansion of -1 in f 0.832 * [backup-simplify]: Simplify -1 into -1 0.832 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.832 * [taylor]: Taking taylor expansion of (+ n f) in f 0.832 * [taylor]: Taking taylor expansion of n in f 0.832 * [backup-simplify]: Simplify n into n 0.832 * [taylor]: Taking taylor expansion of f in f 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [taylor]: Taking taylor expansion of (- f n) in f 0.832 * [taylor]: Taking taylor expansion of f in f 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [taylor]: Taking taylor expansion of n in f 0.832 * [backup-simplify]: Simplify n into n 0.832 * [backup-simplify]: Simplify (+ n 0) into n 0.832 * [backup-simplify]: Simplify (- n) into (- n) 0.832 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.832 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.833 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.833 * [taylor]: Taking taylor expansion of -1 in f 0.833 * [backup-simplify]: Simplify -1 into -1 0.833 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.833 * [taylor]: Taking taylor expansion of (+ n f) in f 0.833 * [taylor]: Taking taylor expansion of n in f 0.833 * [backup-simplify]: Simplify n into n 0.833 * [taylor]: Taking taylor expansion of f in f 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [taylor]: Taking taylor expansion of (- f n) in f 0.833 * [taylor]: Taking taylor expansion of f in f 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [taylor]: Taking taylor expansion of n in f 0.833 * [backup-simplify]: Simplify n into n 0.833 * [backup-simplify]: Simplify (+ n 0) into n 0.833 * [backup-simplify]: Simplify (- n) into (- n) 0.833 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.833 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.833 * [backup-simplify]: Simplify (* -1 -1) into 1 0.833 * [taylor]: Taking taylor expansion of 1 in n 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify 1 into 1 0.834 * [backup-simplify]: Simplify (+ 0 1) into 1 0.834 * [backup-simplify]: Simplify (- 0) into 0 0.834 * [backup-simplify]: Simplify (+ 1 0) into 1 0.834 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.834 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.834 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.834 * [taylor]: Taking taylor expansion of 2 in n 0.835 * [backup-simplify]: Simplify 2 into 2 0.835 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.835 * [taylor]: Taking taylor expansion of n in n 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify (/ 1 1) into 1 0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [backup-simplify]: Simplify (- 0) into 0 0.836 * [backup-simplify]: Simplify (+ 0 0) into 0 0.837 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.837 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.837 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.837 * [taylor]: Taking taylor expansion of 2 in n 0.837 * [backup-simplify]: Simplify 2 into 2 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.837 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.837 * [taylor]: Taking taylor expansion of n in n 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify 1 into 1 0.837 * [backup-simplify]: Simplify (* 1 1) into 1 0.838 * [backup-simplify]: Simplify (/ 1 1) into 1 0.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.841 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify (+ 0 0) into 0 0.841 * [backup-simplify]: Simplify (- 0) into 0 0.842 * [backup-simplify]: Simplify (+ 0 0) into 0 0.842 * [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)))) 0.843 * [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))) 0.843 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.843 * [taylor]: Taking taylor expansion of 2 in n 0.843 * [backup-simplify]: Simplify 2 into 2 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.843 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.843 * [taylor]: Taking taylor expansion of n in n 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [backup-simplify]: Simplify (* 1 1) into 1 0.843 * [backup-simplify]: Simplify (* 1 1) into 1 0.843 * [backup-simplify]: Simplify (/ 1 1) into 1 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.848 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.848 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.848 * [taylor]: Taking taylor expansion of -1 in n 0.848 * [backup-simplify]: Simplify -1 into -1 0.848 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.848 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.848 * [taylor]: Taking taylor expansion of f in n 0.848 * [backup-simplify]: Simplify f into f 0.849 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.849 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.849 * [taylor]: Taking taylor expansion of n in n 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (/ 1 1) into 1 0.849 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.849 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.849 * [taylor]: Taking taylor expansion of f in n 0.849 * [backup-simplify]: Simplify f into f 0.849 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.849 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.849 * [taylor]: Taking taylor expansion of n in n 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (/ 1 1) into 1 0.849 * [backup-simplify]: Simplify (+ 0 1) into 1 0.850 * [backup-simplify]: Simplify (- 1) into -1 0.850 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.850 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.850 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.850 * [taylor]: Taking taylor expansion of -1 in f 0.850 * [backup-simplify]: Simplify -1 into -1 0.850 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.850 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.850 * [taylor]: Taking taylor expansion of f in f 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (/ 1 1) into 1 0.851 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.851 * [taylor]: Taking taylor expansion of n in f 0.851 * [backup-simplify]: Simplify n into n 0.851 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.851 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.851 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.851 * [taylor]: Taking taylor expansion of f in f 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (/ 1 1) into 1 0.851 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.851 * [taylor]: Taking taylor expansion of n in f 0.851 * [backup-simplify]: Simplify n into n 0.851 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.851 * [backup-simplify]: Simplify (+ 1 0) into 1 0.852 * [backup-simplify]: Simplify (+ 1 0) into 1 0.852 * [backup-simplify]: Simplify (/ 1 1) into 1 0.852 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.852 * [taylor]: Taking taylor expansion of -1 in f 0.852 * [backup-simplify]: Simplify -1 into -1 0.852 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.852 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.852 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.852 * [taylor]: Taking taylor expansion of f in f 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [backup-simplify]: Simplify (/ 1 1) into 1 0.852 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.852 * [taylor]: Taking taylor expansion of n in f 0.852 * [backup-simplify]: Simplify n into n 0.852 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.852 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.852 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.852 * [taylor]: Taking taylor expansion of f in f 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.853 * [backup-simplify]: Simplify (/ 1 1) into 1 0.853 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.853 * [taylor]: Taking taylor expansion of n in f 0.853 * [backup-simplify]: Simplify n into n 0.853 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.853 * [backup-simplify]: Simplify (+ 1 0) into 1 0.853 * [backup-simplify]: Simplify (+ 1 0) into 1 0.853 * [backup-simplify]: Simplify (/ 1 1) into 1 0.854 * [backup-simplify]: Simplify (* -1 1) into -1 0.854 * [taylor]: Taking taylor expansion of -1 in n 0.854 * [backup-simplify]: Simplify -1 into -1 0.854 * [backup-simplify]: Simplify -1 into -1 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.855 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.855 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.855 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.855 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.855 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.855 * [taylor]: Taking taylor expansion of 2 in n 0.855 * [backup-simplify]: Simplify 2 into 2 0.855 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.855 * [taylor]: Taking taylor expansion of n in n 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (/ 1 1) into 1 0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.856 * [backup-simplify]: Simplify (- 0) into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.857 * [backup-simplify]: Simplify (+ 0 0) into 0 0.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.858 * [backup-simplify]: Simplify (- 0) into 0 0.858 * [backup-simplify]: Simplify (+ 0 0) into 0 0.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.859 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.859 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.859 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.859 * [taylor]: Taking taylor expansion of 2 in n 0.859 * [backup-simplify]: Simplify 2 into 2 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.859 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.860 * [taylor]: Taking taylor expansion of n in n 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 1 into 1 0.860 * [backup-simplify]: Simplify (* 1 1) into 1 0.860 * [backup-simplify]: Simplify (/ 1 1) into 1 0.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.862 * [backup-simplify]: Simplify (- 0) into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.863 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.864 * [backup-simplify]: Simplify (- 0) into 0 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.865 * [backup-simplify]: Simplify (+ 0 0) into 0 0.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.865 * [backup-simplify]: Simplify (- 0) into 0 0.866 * [backup-simplify]: Simplify (+ 0 0) into 0 0.867 * [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))) 0.867 * [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)))) 0.867 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.867 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.867 * [taylor]: Taking taylor expansion of 2 in n 0.867 * [backup-simplify]: Simplify 2 into 2 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.867 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.867 * [taylor]: Taking taylor expansion of n in n 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.868 * [backup-simplify]: Simplify (* 1 1) into 1 0.868 * [backup-simplify]: Simplify (* 1 1) into 1 0.868 * [backup-simplify]: Simplify (/ 1 1) into 1 0.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.873 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.873 * [backup-simplify]: Simplify (- 0) into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify -1 into -1 0.873 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.873 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.873 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.874 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.874 * [taylor]: Taking taylor expansion of f in n 0.874 * [backup-simplify]: Simplify f into f 0.874 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.874 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.874 * [taylor]: Taking taylor expansion of n in n 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [backup-simplify]: Simplify (/ 1 1) into 1 0.874 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.874 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.874 * [taylor]: Taking taylor expansion of n in n 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [backup-simplify]: Simplify (/ 1 1) into 1 0.874 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.874 * [taylor]: Taking taylor expansion of f in n 0.874 * [backup-simplify]: Simplify f into f 0.874 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.875 * [backup-simplify]: Simplify (+ 0 1) into 1 0.875 * [backup-simplify]: Simplify (+ 1 0) into 1 0.875 * [backup-simplify]: Simplify (/ 1 1) into 1 0.875 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.875 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.875 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.875 * [taylor]: Taking taylor expansion of f in f 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [backup-simplify]: Simplify (/ 1 1) into 1 0.875 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.875 * [taylor]: Taking taylor expansion of n in f 0.875 * [backup-simplify]: Simplify n into n 0.875 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.875 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.875 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.875 * [taylor]: Taking taylor expansion of n in f 0.875 * [backup-simplify]: Simplify n into n 0.876 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.876 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.876 * [taylor]: Taking taylor expansion of f in f 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 1 into 1 0.876 * [backup-simplify]: Simplify (/ 1 1) into 1 0.876 * [backup-simplify]: Simplify (+ 1 0) into 1 0.876 * [backup-simplify]: Simplify (- 1) into -1 0.876 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.877 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.877 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.877 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.877 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.877 * [taylor]: Taking taylor expansion of f in f 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 1 into 1 0.877 * [backup-simplify]: Simplify (/ 1 1) into 1 0.877 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.877 * [taylor]: Taking taylor expansion of n in f 0.877 * [backup-simplify]: Simplify n into n 0.877 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.877 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.877 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.877 * [taylor]: Taking taylor expansion of n in f 0.877 * [backup-simplify]: Simplify n into n 0.877 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.877 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.877 * [taylor]: Taking taylor expansion of f in f 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 1 into 1 0.878 * [backup-simplify]: Simplify (/ 1 1) into 1 0.878 * [backup-simplify]: Simplify (+ 1 0) into 1 0.878 * [backup-simplify]: Simplify (- 1) into -1 0.878 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.878 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.879 * [taylor]: Taking taylor expansion of -1 in n 0.879 * [backup-simplify]: Simplify -1 into -1 0.879 * [backup-simplify]: Simplify -1 into -1 0.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.880 * [backup-simplify]: Simplify (- 0) into 0 0.880 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.880 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.880 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.880 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.880 * [taylor]: Taking taylor expansion of 2 in n 0.880 * [backup-simplify]: Simplify 2 into 2 0.880 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.880 * [taylor]: Taking taylor expansion of n in n 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (/ 1 1) into 1 0.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.881 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.881 * [backup-simplify]: Simplify (- 0) into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.882 * [backup-simplify]: Simplify (+ 0 0) into 0 0.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.883 * [backup-simplify]: Simplify (- 0) into 0 0.883 * [backup-simplify]: Simplify (+ 0 0) into 0 0.884 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.884 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.884 * [taylor]: Taking taylor expansion of 2 in n 0.884 * [backup-simplify]: Simplify 2 into 2 0.884 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.884 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.884 * [taylor]: Taking taylor expansion of n in n 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 1 into 1 0.884 * [backup-simplify]: Simplify (* 1 1) into 1 0.884 * [backup-simplify]: Simplify (/ 1 1) into 1 0.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.887 * [backup-simplify]: Simplify (- 0) into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.888 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.888 * [backup-simplify]: Simplify (- 0) into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.889 * [backup-simplify]: Simplify (+ 0 0) into 0 0.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (- 0) into 0 0.890 * [backup-simplify]: Simplify (+ 0 0) into 0 0.891 * [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)))) 0.891 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.891 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.891 * [taylor]: Taking taylor expansion of 2 in n 0.891 * [backup-simplify]: Simplify 2 into 2 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.891 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.891 * [taylor]: Taking taylor expansion of n in n 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.892 * [backup-simplify]: Simplify (* 1 1) into 1 0.892 * [backup-simplify]: Simplify (* 1 1) into 1 0.892 * [backup-simplify]: Simplify (/ 1 1) into 1 0.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.904 * [backup-simplify]: Simplify (- 0) into 0 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify -1 into -1 0.904 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.904 * [backup-simplify]: Simplify (pow (/ (- (+ f n)) (- f n)) 3) into (pow (* -1 (/ (+ n f) (- f n))) 3) 0.904 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in (f n) around 0 0.904 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in n 0.904 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.904 * [taylor]: Taking taylor expansion of -1 in n 0.904 * [backup-simplify]: Simplify -1 into -1 0.904 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.904 * [taylor]: Taking taylor expansion of (+ n f) in n 0.904 * [taylor]: Taking taylor expansion of n in n 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [taylor]: Taking taylor expansion of f in n 0.904 * [backup-simplify]: Simplify f into f 0.904 * [taylor]: Taking taylor expansion of (- f n) in n 0.904 * [taylor]: Taking taylor expansion of f in n 0.904 * [backup-simplify]: Simplify f into f 0.904 * [taylor]: Taking taylor expansion of n in n 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (+ 0 f) into f 0.905 * [backup-simplify]: Simplify (- 0) into 0 0.905 * [backup-simplify]: Simplify (+ f 0) into f 0.905 * [backup-simplify]: Simplify (/ f f) into 1 0.905 * [backup-simplify]: Simplify (* -1 1) into -1 0.905 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 0.905 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.905 * [taylor]: Taking taylor expansion of -1 in f 0.905 * [backup-simplify]: Simplify -1 into -1 0.905 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.905 * [taylor]: Taking taylor expansion of (+ n f) in f 0.905 * [taylor]: Taking taylor expansion of n in f 0.905 * [backup-simplify]: Simplify n into n 0.905 * [taylor]: Taking taylor expansion of f in f 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 1 into 1 0.905 * [taylor]: Taking taylor expansion of (- f n) in f 0.905 * [taylor]: Taking taylor expansion of f in f 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 1 into 1 0.905 * [taylor]: Taking taylor expansion of n in f 0.905 * [backup-simplify]: Simplify n into n 0.905 * [backup-simplify]: Simplify (+ n 0) into n 0.905 * [backup-simplify]: Simplify (- n) into (- n) 0.905 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.905 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.906 * [backup-simplify]: Simplify (* -1 -1) into 1 0.906 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 0.906 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.906 * [taylor]: Taking taylor expansion of -1 in f 0.906 * [backup-simplify]: Simplify -1 into -1 0.906 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.906 * [taylor]: Taking taylor expansion of (+ n f) in f 0.906 * [taylor]: Taking taylor expansion of n in f 0.906 * [backup-simplify]: Simplify n into n 0.906 * [taylor]: Taking taylor expansion of f in f 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [taylor]: Taking taylor expansion of (- f n) in f 0.906 * [taylor]: Taking taylor expansion of f in f 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [taylor]: Taking taylor expansion of n in f 0.906 * [backup-simplify]: Simplify n into n 0.906 * [backup-simplify]: Simplify (+ n 0) into n 0.906 * [backup-simplify]: Simplify (- n) into (- n) 0.906 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.906 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.906 * [backup-simplify]: Simplify (* -1 -1) into 1 0.906 * [backup-simplify]: Simplify (* 1 1) into 1 0.907 * [backup-simplify]: Simplify (* 1 1) into 1 0.907 * [taylor]: Taking taylor expansion of 1 in n 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [backup-simplify]: Simplify (+ 0 1) into 1 0.907 * [backup-simplify]: Simplify (- 0) into 0 0.907 * [backup-simplify]: Simplify (+ 1 0) into 1 0.908 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.908 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.908 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 4 (/ 1 n)) 0.908 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 6 (/ 1 n)) 0.908 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 0.908 * [taylor]: Taking taylor expansion of 6 in n 0.908 * [backup-simplify]: Simplify 6 into 6 0.908 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.908 * [taylor]: Taking taylor expansion of n in n 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (/ 1 1) into 1 0.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify (+ 0 0) into 0 0.910 * [backup-simplify]: Simplify (- 0) into 0 0.910 * [backup-simplify]: Simplify (+ 0 0) into 0 0.910 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.911 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.911 * [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))) 0.911 * [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))) 0.911 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 0.911 * [taylor]: Taking taylor expansion of 18 in n 0.911 * [backup-simplify]: Simplify 18 into 18 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.911 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.911 * [taylor]: Taking taylor expansion of n in n 0.911 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 1 into 1 0.912 * [backup-simplify]: Simplify (* 1 1) into 1 0.912 * [backup-simplify]: Simplify (/ 1 1) into 1 0.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 0.914 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.915 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify (+ 0 0) into 0 0.916 * [backup-simplify]: Simplify (- 0) into 0 0.916 * [backup-simplify]: Simplify (+ 0 0) into 0 0.917 * [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)))) 0.917 * [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))) 0.918 * [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))) 0.918 * [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))) 0.918 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 0.918 * [taylor]: Taking taylor expansion of 38 in n 0.918 * [backup-simplify]: Simplify 38 into 38 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.918 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.918 * [taylor]: Taking taylor expansion of n in n 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (* 1 1) into 1 0.919 * [backup-simplify]: Simplify (* 1 1) into 1 0.919 * [backup-simplify]: Simplify (/ 1 1) into 1 0.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.925 * [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) 0.925 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in (f n) around 0 0.925 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in n 0.925 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.925 * [taylor]: Taking taylor expansion of -1 in n 0.925 * [backup-simplify]: Simplify -1 into -1 0.925 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.925 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.925 * [taylor]: Taking taylor expansion of f in n 0.925 * [backup-simplify]: Simplify f into f 0.925 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.925 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.925 * [taylor]: Taking taylor expansion of n in n 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [backup-simplify]: Simplify (/ 1 1) into 1 0.925 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.925 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.925 * [taylor]: Taking taylor expansion of f in n 0.925 * [backup-simplify]: Simplify f into f 0.925 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.925 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.925 * [taylor]: Taking taylor expansion of n in n 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.926 * [backup-simplify]: Simplify (/ 1 1) into 1 0.926 * [backup-simplify]: Simplify (+ 0 1) into 1 0.926 * [backup-simplify]: Simplify (- 1) into -1 0.926 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.927 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.927 * [backup-simplify]: Simplify (* -1 -1) into 1 0.927 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 0.927 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.927 * [taylor]: Taking taylor expansion of -1 in f 0.927 * [backup-simplify]: Simplify -1 into -1 0.927 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.927 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.927 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.927 * [taylor]: Taking taylor expansion of f in f 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 1 into 1 0.927 * [backup-simplify]: Simplify (/ 1 1) into 1 0.927 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.927 * [taylor]: Taking taylor expansion of n in f 0.927 * [backup-simplify]: Simplify n into n 0.927 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.927 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.927 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.927 * [taylor]: Taking taylor expansion of f in f 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 1 into 1 0.928 * [backup-simplify]: Simplify (/ 1 1) into 1 0.928 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.928 * [taylor]: Taking taylor expansion of n in f 0.928 * [backup-simplify]: Simplify n into n 0.928 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.928 * [backup-simplify]: Simplify (+ 1 0) into 1 0.928 * [backup-simplify]: Simplify (+ 1 0) into 1 0.928 * [backup-simplify]: Simplify (/ 1 1) into 1 0.929 * [backup-simplify]: Simplify (* -1 1) into -1 0.929 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 0.929 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.929 * [taylor]: Taking taylor expansion of -1 in f 0.929 * [backup-simplify]: Simplify -1 into -1 0.929 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.929 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.929 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.929 * [taylor]: Taking taylor expansion of f in f 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * [backup-simplify]: Simplify (/ 1 1) into 1 0.929 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.929 * [taylor]: Taking taylor expansion of n in f 0.929 * [backup-simplify]: Simplify n into n 0.929 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.929 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.929 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.929 * [taylor]: Taking taylor expansion of f in f 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * [backup-simplify]: Simplify (/ 1 1) into 1 0.929 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.929 * [taylor]: Taking taylor expansion of n in f 0.929 * [backup-simplify]: Simplify n into n 0.930 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.930 * [backup-simplify]: Simplify (+ 1 0) into 1 0.930 * [backup-simplify]: Simplify (+ 1 0) into 1 0.930 * [backup-simplify]: Simplify (/ 1 1) into 1 0.930 * [backup-simplify]: Simplify (* -1 1) into -1 0.931 * [backup-simplify]: Simplify (* -1 -1) into 1 0.931 * [backup-simplify]: Simplify (* -1 1) into -1 0.931 * [taylor]: Taking taylor expansion of -1 in n 0.931 * [backup-simplify]: Simplify -1 into -1 0.931 * [backup-simplify]: Simplify -1 into -1 0.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.932 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.932 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.933 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.933 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) 0.933 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 n))) (* (- (* 2 (/ 1 n))) 1)) into (- (* 6 (/ 1 n))) 0.933 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 0.933 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 0.933 * [taylor]: Taking taylor expansion of 6 in n 0.933 * [backup-simplify]: Simplify 6 into 6 0.933 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.933 * [taylor]: Taking taylor expansion of n in n 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [backup-simplify]: Simplify (/ 1 1) into 1 0.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.934 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 0.934 * [backup-simplify]: Simplify (- 0) into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.935 * [backup-simplify]: Simplify (+ 0 0) into 0 0.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.936 * [backup-simplify]: Simplify (- 0) into 0 0.936 * [backup-simplify]: Simplify (+ 0 0) into 0 0.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.937 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.938 * [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))) 0.938 * [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)))) 0.938 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 0.938 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 0.938 * [taylor]: Taking taylor expansion of 18 in n 0.938 * [backup-simplify]: Simplify 18 into 18 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.938 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.938 * [taylor]: Taking taylor expansion of n in n 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 1 into 1 0.938 * [backup-simplify]: Simplify (* 1 1) into 1 0.939 * [backup-simplify]: Simplify (/ 1 1) into 1 0.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 0.941 * [backup-simplify]: Simplify (- 0) into 0 0.941 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 0.943 * [backup-simplify]: Simplify (- 0) into 0 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.944 * [backup-simplify]: Simplify (+ 0 0) into 0 0.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.944 * [backup-simplify]: Simplify (- 0) into 0 0.945 * [backup-simplify]: Simplify (+ 0 0) into 0 0.946 * [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))) 0.946 * [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)))) 0.947 * [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))) 0.947 * [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)))) 0.947 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 0.947 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 0.947 * [taylor]: Taking taylor expansion of 38 in n 0.947 * [backup-simplify]: Simplify 38 into 38 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.948 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.948 * [taylor]: Taking taylor expansion of n in n 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [backup-simplify]: Simplify (* 1 1) into 1 0.948 * [backup-simplify]: Simplify (* 1 1) into 1 0.948 * [backup-simplify]: Simplify (/ 1 1) into 1 0.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (- 0) into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify -1 into -1 0.954 * [backup-simplify]: Simplify (pow (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) 3) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) 0.954 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in (f n) around 0 0.954 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in n 0.954 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.954 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.954 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.954 * [taylor]: Taking taylor expansion of f in n 0.954 * [backup-simplify]: Simplify f into f 0.954 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.954 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.954 * [taylor]: Taking taylor expansion of n in n 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 1 into 1 0.954 * [backup-simplify]: Simplify (/ 1 1) into 1 0.954 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.954 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.954 * [taylor]: Taking taylor expansion of n in n 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 1 into 1 0.954 * [backup-simplify]: Simplify (/ 1 1) into 1 0.954 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.954 * [taylor]: Taking taylor expansion of f in n 0.954 * [backup-simplify]: Simplify f into f 0.954 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.955 * [backup-simplify]: Simplify (+ 0 1) into 1 0.955 * [backup-simplify]: Simplify (+ 1 0) into 1 0.955 * [backup-simplify]: Simplify (/ 1 1) into 1 0.955 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 0.955 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.955 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.955 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.955 * [taylor]: Taking taylor expansion of f in f 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 1 into 1 0.956 * [backup-simplify]: Simplify (/ 1 1) into 1 0.956 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.956 * [taylor]: Taking taylor expansion of n in f 0.956 * [backup-simplify]: Simplify n into n 0.956 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.956 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.956 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.956 * [taylor]: Taking taylor expansion of n in f 0.956 * [backup-simplify]: Simplify n into n 0.956 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.956 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.956 * [taylor]: Taking taylor expansion of f in f 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 1 into 1 0.956 * [backup-simplify]: Simplify (/ 1 1) into 1 0.956 * [backup-simplify]: Simplify (+ 1 0) into 1 0.956 * [backup-simplify]: Simplify (- 1) into -1 0.957 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.957 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.957 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 0.957 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.957 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.957 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.957 * [taylor]: Taking taylor expansion of f in f 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 1 into 1 0.957 * [backup-simplify]: Simplify (/ 1 1) into 1 0.957 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.957 * [taylor]: Taking taylor expansion of n in f 0.957 * [backup-simplify]: Simplify n into n 0.957 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.957 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.957 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.957 * [taylor]: Taking taylor expansion of n in f 0.958 * [backup-simplify]: Simplify n into n 0.958 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.958 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.958 * [taylor]: Taking taylor expansion of f in f 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.958 * [backup-simplify]: Simplify (/ 1 1) into 1 0.958 * [backup-simplify]: Simplify (+ 1 0) into 1 0.958 * [backup-simplify]: Simplify (- 1) into -1 0.959 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.959 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.959 * [backup-simplify]: Simplify (* -1 -1) into 1 0.959 * [backup-simplify]: Simplify (* -1 1) into -1 0.959 * [taylor]: Taking taylor expansion of -1 in n 0.959 * [backup-simplify]: Simplify -1 into -1 0.959 * [backup-simplify]: Simplify -1 into -1 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.961 * [backup-simplify]: Simplify (- 0) into 0 0.961 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.961 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.961 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) 0.961 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 n))) (* (- (* 2 (/ 1 n))) 1)) into (- (* 6 (/ 1 n))) 0.961 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 0.961 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 0.961 * [taylor]: Taking taylor expansion of 6 in n 0.961 * [backup-simplify]: Simplify 6 into 6 0.961 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.961 * [taylor]: Taking taylor expansion of n in n 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify (/ 1 1) into 1 0.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.962 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 0.962 * [backup-simplify]: Simplify (- 0) into 0 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.963 * [backup-simplify]: Simplify (+ 0 0) into 0 0.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.964 * [backup-simplify]: Simplify (- 0) into 0 0.964 * [backup-simplify]: Simplify (+ 0 0) into 0 0.965 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.965 * [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))) 0.966 * [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)))) 0.966 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 0.966 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 0.966 * [taylor]: Taking taylor expansion of 18 in n 0.966 * [backup-simplify]: Simplify 18 into 18 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.966 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.966 * [taylor]: Taking taylor expansion of n in n 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 1 into 1 0.966 * [backup-simplify]: Simplify (* 1 1) into 1 0.966 * [backup-simplify]: Simplify (/ 1 1) into 1 0.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 0.969 * [backup-simplify]: Simplify (- 0) into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.970 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 0.970 * [backup-simplify]: Simplify (- 0) into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.971 * [backup-simplify]: Simplify (+ 0 0) into 0 0.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (- 0) into 0 0.972 * [backup-simplify]: Simplify (+ 0 0) into 0 0.973 * [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)))) 0.974 * [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))) 0.974 * [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)))) 0.974 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 0.974 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 0.974 * [taylor]: Taking taylor expansion of 38 in n 0.974 * [backup-simplify]: Simplify 38 into 38 0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.974 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.974 * [taylor]: Taking taylor expansion of n in n 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 1 into 1 0.975 * [backup-simplify]: Simplify (* 1 1) into 1 0.975 * [backup-simplify]: Simplify (* 1 1) into 1 0.975 * [backup-simplify]: Simplify (/ 1 1) into 1 0.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.980 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.980 * [backup-simplify]: Simplify (- 0) into 0 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify -1 into -1 0.980 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.981 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ f n)) (- f n)) 3)) into (/ (* (cbrt -1) (+ n f)) (- f n)) 0.981 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0 0.981 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 0.981 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 0.981 * [taylor]: Taking taylor expansion of (cbrt -1) in n 0.981 * [taylor]: Taking taylor expansion of -1 in n 0.981 * [backup-simplify]: Simplify -1 into -1 0.982 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.982 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.982 * [taylor]: Taking taylor expansion of (+ n f) in n 0.982 * [taylor]: Taking taylor expansion of n in n 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [taylor]: Taking taylor expansion of f in n 0.982 * [backup-simplify]: Simplify f into f 0.982 * [taylor]: Taking taylor expansion of (- f n) in n 0.982 * [taylor]: Taking taylor expansion of f in n 0.982 * [backup-simplify]: Simplify f into f 0.982 * [taylor]: Taking taylor expansion of n in n 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (+ 0 f) into f 0.983 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 0.983 * [backup-simplify]: Simplify (- 0) into 0 0.983 * [backup-simplify]: Simplify (+ f 0) into f 0.983 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 0.983 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 0.983 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 0.983 * [taylor]: Taking taylor expansion of (cbrt -1) in f 0.983 * [taylor]: Taking taylor expansion of -1 in f 0.983 * [backup-simplify]: Simplify -1 into -1 0.984 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.984 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.984 * [taylor]: Taking taylor expansion of (+ n f) in f 0.984 * [taylor]: Taking taylor expansion of n in f 0.984 * [backup-simplify]: Simplify n into n 0.984 * [taylor]: Taking taylor expansion of f in f 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify 1 into 1 0.984 * [taylor]: Taking taylor expansion of (- f n) in f 0.984 * [taylor]: Taking taylor expansion of f in f 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify 1 into 1 0.984 * [taylor]: Taking taylor expansion of n in f 0.984 * [backup-simplify]: Simplify n into n 0.984 * [backup-simplify]: Simplify (+ n 0) into n 0.984 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 0.985 * [backup-simplify]: Simplify (- n) into (- n) 0.985 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.985 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 0.985 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 0.985 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 0.985 * [taylor]: Taking taylor expansion of (cbrt -1) in f 0.985 * [taylor]: Taking taylor expansion of -1 in f 0.985 * [backup-simplify]: Simplify -1 into -1 0.985 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.986 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.986 * [taylor]: Taking taylor expansion of (+ n f) in f 0.986 * [taylor]: Taking taylor expansion of n in f 0.986 * [backup-simplify]: Simplify n into n 0.986 * [taylor]: Taking taylor expansion of f in f 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.986 * [taylor]: Taking taylor expansion of (- f n) in f 0.986 * [taylor]: Taking taylor expansion of f in f 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.986 * [taylor]: Taking taylor expansion of n in f 0.986 * [backup-simplify]: Simplify n into n 0.986 * [backup-simplify]: Simplify (+ n 0) into n 0.986 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 0.986 * [backup-simplify]: Simplify (- n) into (- n) 0.986 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.987 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 0.987 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n 0.987 * [taylor]: Taking taylor expansion of -1 in n 0.987 * [backup-simplify]: Simplify -1 into -1 0.987 * [taylor]: Taking taylor expansion of (cbrt -1) in n 0.987 * [taylor]: Taking taylor expansion of -1 in n 0.987 * [backup-simplify]: Simplify -1 into -1 0.987 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.987 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.988 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 0.988 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 0.989 * [backup-simplify]: Simplify (+ 0 1) into 1 0.989 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 n)) into (cbrt -1) 0.989 * [backup-simplify]: Simplify (- 0) into 0 0.990 * [backup-simplify]: Simplify (+ 1 0) into 1 0.991 * [backup-simplify]: Simplify (- (/ (cbrt -1) (- n)) (+ (* (* -1 (cbrt -1)) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) n))) 0.991 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n 0.991 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 0.991 * [taylor]: Taking taylor expansion of 2 in n 0.991 * [backup-simplify]: Simplify 2 into 2 0.991 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 0.991 * [taylor]: Taking taylor expansion of (cbrt -1) in n 0.991 * [taylor]: Taking taylor expansion of -1 in n 0.991 * [backup-simplify]: Simplify -1 into -1 0.991 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.991 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.991 * [taylor]: Taking taylor expansion of n in n 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify 1 into 1 0.995 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 0.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 0.996 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 0.996 * [backup-simplify]: Simplify (- 0) into 0 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0 0.996 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify (+ 0 0) into 0 0.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 0.998 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 n))) into 0 0.998 * [backup-simplify]: Simplify (- 0) into 0 0.999 * [backup-simplify]: Simplify (+ 0 0) into 0 1.000 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 2)))) 1.000 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n 1.000 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 1.000 * [taylor]: Taking taylor expansion of 2 in n 1.000 * [backup-simplify]: Simplify 2 into 2 1.000 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 1.000 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.000 * [taylor]: Taking taylor expansion of -1 in n 1.000 * [backup-simplify]: Simplify -1 into -1 1.000 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.001 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.001 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.001 * [taylor]: Taking taylor expansion of n in n 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [backup-simplify]: Simplify (* 1 1) into 1 1.001 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 1.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 1.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.005 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 1.005 * [backup-simplify]: Simplify (- 0) into 0 1.005 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 1.007 * [backup-simplify]: Simplify (- 0) into 0 1.007 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.009 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify (+ 0 0) into 0 1.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.010 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 n)))) into 0 1.011 * [backup-simplify]: Simplify (- 0) into 0 1.011 * [backup-simplify]: Simplify (+ 0 0) into 0 1.012 * [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)))) 1.012 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n 1.012 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 1.012 * [taylor]: Taking taylor expansion of 2 in n 1.012 * [backup-simplify]: Simplify 2 into 2 1.013 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 1.013 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.013 * [taylor]: Taking taylor expansion of -1 in n 1.013 * [backup-simplify]: Simplify -1 into -1 1.013 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.013 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.013 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.013 * [taylor]: Taking taylor expansion of n in n 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 1 into 1 1.014 * [backup-simplify]: Simplify (* 1 1) into 1 1.014 * [backup-simplify]: Simplify (* 1 1) into 1 1.014 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 1.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 1.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.021 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 1.022 * [backup-simplify]: Simplify (- 0) into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 1.023 * [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))) 1.023 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 1.023 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n 1.023 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in n 1.023 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.023 * [taylor]: Taking taylor expansion of -1 in n 1.023 * [backup-simplify]: Simplify -1 into -1 1.023 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.023 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.023 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.023 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.023 * [taylor]: Taking taylor expansion of f in n 1.023 * [backup-simplify]: Simplify f into f 1.023 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.023 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.023 * [taylor]: Taking taylor expansion of n in n 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 1 into 1 1.024 * [backup-simplify]: Simplify (/ 1 1) into 1 1.024 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.024 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.024 * [taylor]: Taking taylor expansion of f in n 1.024 * [backup-simplify]: Simplify f into f 1.024 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.024 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.024 * [taylor]: Taking taylor expansion of n in n 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify 1 into 1 1.024 * [backup-simplify]: Simplify (/ 1 1) into 1 1.024 * [backup-simplify]: Simplify (+ 0 1) into 1 1.025 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 1.025 * [backup-simplify]: Simplify (- 1) into -1 1.025 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.026 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 1.026 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 1.026 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 1.026 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.026 * [taylor]: Taking taylor expansion of -1 in f 1.026 * [backup-simplify]: Simplify -1 into -1 1.026 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.027 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.027 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.027 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.027 * [taylor]: Taking taylor expansion of f in f 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [backup-simplify]: Simplify (/ 1 1) into 1 1.027 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.027 * [taylor]: Taking taylor expansion of n in f 1.027 * [backup-simplify]: Simplify n into n 1.027 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.027 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.027 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.027 * [taylor]: Taking taylor expansion of f in f 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [backup-simplify]: Simplify (/ 1 1) into 1 1.027 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.027 * [taylor]: Taking taylor expansion of n in f 1.027 * [backup-simplify]: Simplify n into n 1.028 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.028 * [backup-simplify]: Simplify (+ 1 0) into 1 1.028 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 1.029 * [backup-simplify]: Simplify (+ 1 0) into 1 1.029 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 1.029 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 1.029 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 1.029 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.029 * [taylor]: Taking taylor expansion of -1 in f 1.029 * [backup-simplify]: Simplify -1 into -1 1.029 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.030 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.030 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.030 * [taylor]: Taking taylor expansion of f in f 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * [backup-simplify]: Simplify (/ 1 1) into 1 1.030 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.030 * [taylor]: Taking taylor expansion of n in f 1.030 * [backup-simplify]: Simplify n into n 1.030 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.030 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.030 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.030 * [taylor]: Taking taylor expansion of f in f 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 1 into 1 1.031 * [backup-simplify]: Simplify (/ 1 1) into 1 1.031 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.031 * [taylor]: Taking taylor expansion of n in f 1.031 * [backup-simplify]: Simplify n into n 1.031 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.031 * [backup-simplify]: Simplify (+ 1 0) into 1 1.031 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 1.032 * [backup-simplify]: Simplify (+ 1 0) into 1 1.032 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 1.032 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.032 * [taylor]: Taking taylor expansion of -1 in n 1.032 * [backup-simplify]: Simplify -1 into -1 1.033 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.033 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.033 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.034 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.034 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 1 n)) (* 0 1)) into (/ (cbrt -1) n) 1.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.035 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.035 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.036 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) n) 1) (+ (* (cbrt -1) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) n)) 1.036 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 1.036 * [taylor]: Taking taylor expansion of 2 in n 1.036 * [backup-simplify]: Simplify 2 into 2 1.036 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 1.036 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.036 * [taylor]: Taking taylor expansion of -1 in n 1.036 * [backup-simplify]: Simplify -1 into -1 1.036 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.036 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.036 * [taylor]: Taking taylor expansion of n in n 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 1 into 1 1.037 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 1.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 1.038 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.039 * [backup-simplify]: Simplify (+ 0 0) into 0 1.040 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.040 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 1.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.041 * [backup-simplify]: Simplify (- 0) into 0 1.041 * [backup-simplify]: Simplify (+ 0 0) into 0 1.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 2))) 1.042 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 1.042 * [taylor]: Taking taylor expansion of 2 in n 1.042 * [backup-simplify]: Simplify 2 into 2 1.042 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 1.042 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.042 * [taylor]: Taking taylor expansion of -1 in n 1.042 * [backup-simplify]: Simplify -1 into -1 1.043 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.043 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.043 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.043 * [taylor]: Taking taylor expansion of n in n 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 1 into 1 1.043 * [backup-simplify]: Simplify (* 1 1) into 1 1.044 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 1.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 1.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 1.047 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.049 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 1.049 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.051 * [backup-simplify]: Simplify (+ 0 0) into 0 1.052 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.052 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 1.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.053 * [backup-simplify]: Simplify (- 0) into 0 1.053 * [backup-simplify]: Simplify (+ 0 0) into 0 1.055 * [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))) 1.055 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 1.055 * [taylor]: Taking taylor expansion of 2 in n 1.055 * [backup-simplify]: Simplify 2 into 2 1.055 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 1.055 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.055 * [taylor]: Taking taylor expansion of -1 in n 1.055 * [backup-simplify]: Simplify -1 into -1 1.055 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.056 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.056 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.056 * [taylor]: Taking taylor expansion of n in n 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify 1 into 1 1.056 * [backup-simplify]: Simplify (* 1 1) into 1 1.056 * [backup-simplify]: Simplify (* 1 1) into 1 1.057 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 1.058 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 1.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.062 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.064 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.064 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) 3)) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.064 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.064 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.064 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.064 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.064 * [taylor]: Taking taylor expansion of f in n 1.064 * [backup-simplify]: Simplify f into f 1.064 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.064 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.064 * [taylor]: Taking taylor expansion of n in n 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 1 into 1 1.065 * [backup-simplify]: Simplify (/ 1 1) into 1 1.065 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.065 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.065 * [taylor]: Taking taylor expansion of n in n 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 1 into 1 1.065 * [backup-simplify]: Simplify (/ 1 1) into 1 1.065 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.065 * [taylor]: Taking taylor expansion of f in n 1.065 * [backup-simplify]: Simplify f into f 1.065 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.065 * [backup-simplify]: Simplify (+ 0 1) into 1 1.066 * [backup-simplify]: Simplify (+ 1 0) into 1 1.066 * [backup-simplify]: Simplify (/ 1 1) into 1 1.066 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.066 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.066 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.066 * [taylor]: Taking taylor expansion of f in f 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 1 into 1 1.066 * [backup-simplify]: Simplify (/ 1 1) into 1 1.066 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.066 * [taylor]: Taking taylor expansion of n in f 1.066 * [backup-simplify]: Simplify n into n 1.066 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.066 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.066 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.066 * [taylor]: Taking taylor expansion of n in f 1.066 * [backup-simplify]: Simplify n into n 1.066 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.066 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.066 * [taylor]: Taking taylor expansion of f in f 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 1 into 1 1.067 * [backup-simplify]: Simplify (/ 1 1) into 1 1.067 * [backup-simplify]: Simplify (+ 1 0) into 1 1.067 * [backup-simplify]: Simplify (- 1) into -1 1.067 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.068 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.068 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.068 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.068 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.068 * [taylor]: Taking taylor expansion of f in f 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (/ 1 1) into 1 1.068 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.068 * [taylor]: Taking taylor expansion of n in f 1.068 * [backup-simplify]: Simplify n into n 1.068 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.068 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.068 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.068 * [taylor]: Taking taylor expansion of n in f 1.068 * [backup-simplify]: Simplify n into n 1.068 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.068 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.068 * [taylor]: Taking taylor expansion of f in f 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (/ 1 1) into 1 1.069 * [backup-simplify]: Simplify (+ 1 0) into 1 1.069 * [backup-simplify]: Simplify (- 1) into -1 1.069 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.069 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.069 * [taylor]: Taking taylor expansion of -1 in n 1.069 * [backup-simplify]: Simplify -1 into -1 1.069 * [backup-simplify]: Simplify -1 into -1 1.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.070 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.070 * [backup-simplify]: Simplify (- 0) into 0 1.071 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.071 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.071 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.071 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.071 * [taylor]: Taking taylor expansion of 2 in n 1.071 * [backup-simplify]: Simplify 2 into 2 1.071 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.071 * [taylor]: Taking taylor expansion of n in n 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 1 into 1 1.071 * [backup-simplify]: Simplify (/ 1 1) into 1 1.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.072 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.072 * [backup-simplify]: Simplify (- 0) into 0 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.074 * [backup-simplify]: Simplify (- 0) into 0 1.074 * [backup-simplify]: Simplify (+ 0 0) into 0 1.075 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.075 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.075 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.075 * [taylor]: Taking taylor expansion of 2 in n 1.075 * [backup-simplify]: Simplify 2 into 2 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.075 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.075 * [taylor]: Taking taylor expansion of n in n 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [backup-simplify]: Simplify (* 1 1) into 1 1.075 * [backup-simplify]: Simplify (/ 1 1) into 1 1.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.078 * [backup-simplify]: Simplify (- 0) into 0 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.079 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.079 * [backup-simplify]: Simplify (- 0) into 0 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.080 * [backup-simplify]: Simplify (+ 0 0) into 0 1.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.081 * [backup-simplify]: Simplify (- 0) into 0 1.081 * [backup-simplify]: Simplify (+ 0 0) into 0 1.084 * [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)))) 1.085 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.085 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.085 * [taylor]: Taking taylor expansion of 2 in n 1.085 * [backup-simplify]: Simplify 2 into 2 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.085 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.085 * [taylor]: Taking taylor expansion of n in n 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [backup-simplify]: Simplify (* 1 1) into 1 1.085 * [backup-simplify]: Simplify (* 1 1) into 1 1.085 * [backup-simplify]: Simplify (/ 1 1) into 1 1.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.090 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.090 * [backup-simplify]: Simplify (- 0) into 0 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify -1 into -1 1.090 * * * [progress]: simplifying candidates 1.097 * [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)) 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1) 3)) (cbrt (pow (/ (- (sqrt (+ h1 h0))) (- h1 h0)) 3)) (cbrt (pow (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) 3)) (cbrt (pow (/ (- (+ h1 h0)) (cbrt (- h1 h0))) 3)) (cbrt (pow (/ 1 (sqrt (- h1 h0))) 3)) (cbrt (pow (/ (- (+ h1 h0)) (sqrt (- h1 h0))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (- (+ h1 h0)) (- h1 h0)) 3)) (cbrt (pow (/ 1 (+ (sqrt h1) (sqrt h0))) 3)) (cbrt (pow (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (- (+ h1 h0)) (- h1 h0)) 3)) (cbrt (pow (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) 3)) (cbrt (pow (/ (- (+ h1 h0)) (cbrt (- h1 h0))) 3)) (cbrt (pow (/ 1 (sqrt (- h1 h0))) 3)) (cbrt (pow (/ (- (+ h1 h0)) (sqrt (- h1 h0))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (- (+ h1 h0)) (- h1 h0)) 3)) (cbrt (pow (/ 1 (+ (sqrt h1) (sqrt h0))) 3)) (cbrt (pow (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (- (+ h1 h0)) (- h1 h0)) 3)) (cbrt (pow 1 3)) (cbrt (pow (/ (- (+ h1 h0)) (- h1 h0)) 3)) (cbrt (pow (- (+ h1 h0)) 3)) (cbrt (pow (/ 1 (- h1 h0)) 3)) (cbrt (pow (/ (- (+ h1 h0)) (- (pow h1 3) (pow h0 3))) 3)) (cbrt (pow (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) 3)) (cbrt (pow (/ (- (+ h1 h0)) (- (* h1 h1) (* h0 h0))) 3)) (cbrt (pow (+ h1 h0) 3)) (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (cbrt (* (/ (- (+ h1 h0)) (- h1 h0)) (/ (- (+ h1 h0)) (- h1 h0)))) (cbrt (sqrt (pow (/ (- (+ h1 h0)) (- h1 h0)) 3))) (cbrt (sqrt (pow (/ (- (+ h1 h0)) (- h1 h0)) 3))) (cbrt 1) (cbrt (pow (/ (- (+ h1 h0)) (- h1 h0)) 3)) (cbrt (pow (/ (- (+ h1 h0)) (- h1 h0)) (/ 3 2))) (cbrt (pow (/ (- (+ h1 h0)) (- h1 h0)) (/ 3 2))) (cbrt (pow (- (+ h1 h0)) 3)) (cbrt (pow (- h1 h0) 3)) (* (cbrt (cbrt (pow (/ (- (+ h1 h0)) (- h1 h0)) 3))) (cbrt (cbrt (pow (/ (- (+ h1 h0)) (- h1 h0)) 3)))) (cbrt (cbrt (pow (/ (- (+ h1 h0)) (- h1 h0)) 3))) (* (* (cbrt (pow (/ (- (+ h1 h0)) (- h1 h0)) 3)) (cbrt (pow (/ (- (+ h1 h0)) (- h1 h0)) 3))) (cbrt (pow (/ (- (+ h1 h0)) (- h1 h0)) 3))) (sqrt (cbrt (pow (/ (- (+ h1 h0)) (- h1 h0)) 3))) (sqrt (cbrt (pow (/ (- (+ h1 h0)) (- h1 h0)) 3))) 1 -1 -1 1 -1 -1 (* -1 (cbrt -1)) (cbrt -1) -1 1.112 * * [simplify]: iteration 0 : 953 enodes (cost 3788 ) 1.129 * * [simplify]: iteration 1 : 4549 enodes (cost 3489 ) 1.192 * * [simplify]: iteration 2 : 5001 enodes (cost 3481 ) 1.209 * * * [progress]: adding candidates to table 1.620 * * [progress]: iteration 3 / 4 1.620 * * * [progress]: picking best candidate 1.623 * * * * [pick]: Picked # 1.623 * * * [progress]: localizing error 1.632 * * * [progress]: generating rewritten candidates 1.632 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.662 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.694 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.724 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.961 * * * [progress]: generating series expansions 1.961 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.961 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 1.961 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.961 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.961 * [taylor]: Taking taylor expansion of -1 in n 1.961 * [backup-simplify]: Simplify -1 into -1 1.961 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.961 * [taylor]: Taking taylor expansion of (+ n f) in n 1.961 * [taylor]: Taking taylor expansion of n in n 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [taylor]: Taking taylor expansion of f in n 1.961 * [backup-simplify]: Simplify f into f 1.961 * [taylor]: Taking taylor expansion of (- f n) in n 1.961 * [taylor]: Taking taylor expansion of f in n 1.961 * [backup-simplify]: Simplify f into f 1.961 * [taylor]: Taking taylor expansion of n in n 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [backup-simplify]: Simplify (+ 0 f) into f 1.962 * [backup-simplify]: Simplify (- 0) into 0 1.962 * [backup-simplify]: Simplify (+ f 0) into f 1.962 * [backup-simplify]: Simplify (/ f f) into 1 1.962 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.962 * [taylor]: Taking taylor expansion of -1 in f 1.962 * [backup-simplify]: Simplify -1 into -1 1.962 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.962 * [taylor]: Taking taylor expansion of (+ n f) in f 1.962 * [taylor]: Taking taylor expansion of n in f 1.962 * [backup-simplify]: Simplify n into n 1.962 * [taylor]: Taking taylor expansion of f in f 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [taylor]: Taking taylor expansion of (- f n) in f 1.962 * [taylor]: Taking taylor expansion of f in f 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [taylor]: Taking taylor expansion of n in f 1.962 * [backup-simplify]: Simplify n into n 1.962 * [backup-simplify]: Simplify (+ n 0) into n 1.962 * [backup-simplify]: Simplify (- n) into (- n) 1.962 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.962 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.962 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.962 * [taylor]: Taking taylor expansion of -1 in f 1.962 * [backup-simplify]: Simplify -1 into -1 1.962 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.962 * [taylor]: Taking taylor expansion of (+ n f) in f 1.962 * [taylor]: Taking taylor expansion of n in f 1.962 * [backup-simplify]: Simplify n into n 1.962 * [taylor]: Taking taylor expansion of f in f 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [taylor]: Taking taylor expansion of (- f n) in f 1.962 * [taylor]: Taking taylor expansion of f in f 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [taylor]: Taking taylor expansion of n in f 1.962 * [backup-simplify]: Simplify n into n 1.962 * [backup-simplify]: Simplify (+ n 0) into n 1.963 * [backup-simplify]: Simplify (- n) into (- n) 1.963 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.963 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.963 * [backup-simplify]: Simplify (* -1 -1) into 1 1.963 * [taylor]: Taking taylor expansion of 1 in n 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify (+ 0 1) into 1 1.963 * [backup-simplify]: Simplify (- 0) into 0 1.964 * [backup-simplify]: Simplify (+ 1 0) into 1 1.964 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.964 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.964 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.964 * [taylor]: Taking taylor expansion of 2 in n 1.964 * [backup-simplify]: Simplify 2 into 2 1.964 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.964 * [taylor]: Taking taylor expansion of n in n 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.965 * [backup-simplify]: Simplify (/ 1 1) into 1 1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify (+ 0 0) into 0 1.966 * [backup-simplify]: Simplify (- 0) into 0 1.966 * [backup-simplify]: Simplify (+ 0 0) into 0 1.966 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.967 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.967 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.967 * [taylor]: Taking taylor expansion of 2 in n 1.967 * [backup-simplify]: Simplify 2 into 2 1.967 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.967 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.967 * [taylor]: Taking taylor expansion of n in n 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (* 1 1) into 1 1.967 * [backup-simplify]: Simplify (/ 1 1) into 1 1.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.969 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [backup-simplify]: Simplify (- 0) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.972 * [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)))) 1.972 * [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))) 1.972 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.972 * [taylor]: Taking taylor expansion of 2 in n 1.972 * [backup-simplify]: Simplify 2 into 2 1.972 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.972 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.972 * [taylor]: Taking taylor expansion of n in n 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (* 1 1) into 1 1.973 * [backup-simplify]: Simplify (* 1 1) into 1 1.973 * [backup-simplify]: Simplify (/ 1 1) into 1 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.978 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.978 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.978 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.978 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.978 * [taylor]: Taking taylor expansion of -1 in n 1.978 * [backup-simplify]: Simplify -1 into -1 1.978 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.978 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.978 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.978 * [taylor]: Taking taylor expansion of f in n 1.978 * [backup-simplify]: Simplify f into f 1.978 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.978 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.978 * [taylor]: Taking taylor expansion of n in n 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.978 * [backup-simplify]: Simplify (/ 1 1) into 1 1.978 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.978 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.978 * [taylor]: Taking taylor expansion of f in n 1.978 * [backup-simplify]: Simplify f into f 1.978 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.978 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.978 * [taylor]: Taking taylor expansion of n in n 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify (/ 1 1) into 1 1.979 * [backup-simplify]: Simplify (+ 0 1) into 1 1.979 * [backup-simplify]: Simplify (- 1) into -1 1.979 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.980 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.980 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.980 * [taylor]: Taking taylor expansion of -1 in f 1.980 * [backup-simplify]: Simplify -1 into -1 1.980 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.980 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.980 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.980 * [taylor]: Taking taylor expansion of f in f 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (/ 1 1) into 1 1.980 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.980 * [taylor]: Taking taylor expansion of n in f 1.980 * [backup-simplify]: Simplify n into n 1.980 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.980 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.980 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.980 * [taylor]: Taking taylor expansion of f in f 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (/ 1 1) into 1 1.980 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.980 * [taylor]: Taking taylor expansion of n in f 1.981 * [backup-simplify]: Simplify n into n 1.981 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.981 * [backup-simplify]: Simplify (+ 1 0) into 1 1.981 * [backup-simplify]: Simplify (+ 1 0) into 1 1.981 * [backup-simplify]: Simplify (/ 1 1) into 1 1.981 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.981 * [taylor]: Taking taylor expansion of -1 in f 1.981 * [backup-simplify]: Simplify -1 into -1 1.981 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.981 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.981 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.981 * [taylor]: Taking taylor expansion of f in f 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.982 * [taylor]: Taking taylor expansion of n in f 1.982 * [backup-simplify]: Simplify n into n 1.982 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.982 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.982 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.982 * [taylor]: Taking taylor expansion of f in f 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.982 * [taylor]: Taking taylor expansion of n in f 1.982 * [backup-simplify]: Simplify n into n 1.982 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.982 * [backup-simplify]: Simplify (+ 1 0) into 1 1.983 * [backup-simplify]: Simplify (+ 1 0) into 1 1.983 * [backup-simplify]: Simplify (/ 1 1) into 1 1.983 * [backup-simplify]: Simplify (* -1 1) into -1 1.983 * [taylor]: Taking taylor expansion of -1 in n 1.983 * [backup-simplify]: Simplify -1 into -1 1.983 * [backup-simplify]: Simplify -1 into -1 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.984 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.984 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.985 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.985 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.985 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.985 * [taylor]: Taking taylor expansion of 2 in n 1.985 * [backup-simplify]: Simplify 2 into 2 1.985 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.985 * [taylor]: Taking taylor expansion of n in n 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [backup-simplify]: Simplify (/ 1 1) into 1 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.986 * [backup-simplify]: Simplify (- 0) into 0 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.987 * [backup-simplify]: Simplify (+ 0 0) into 0 1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.988 * [backup-simplify]: Simplify (- 0) into 0 1.988 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.989 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.989 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.989 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.989 * [taylor]: Taking taylor expansion of 2 in n 1.989 * [backup-simplify]: Simplify 2 into 2 1.989 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.989 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.989 * [taylor]: Taking taylor expansion of n in n 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (* 1 1) into 1 1.990 * [backup-simplify]: Simplify (/ 1 1) into 1 1.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.992 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.992 * [backup-simplify]: Simplify (- 0) into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.993 * [backup-simplify]: Simplify (- 0) into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.994 * [backup-simplify]: Simplify (+ 0 0) into 0 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.995 * [backup-simplify]: Simplify (- 0) into 0 1.995 * [backup-simplify]: Simplify (+ 0 0) into 0 1.996 * [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))) 1.997 * [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)))) 1.997 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.997 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.997 * [taylor]: Taking taylor expansion of 2 in n 1.997 * [backup-simplify]: Simplify 2 into 2 1.997 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.997 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.997 * [taylor]: Taking taylor expansion of n in n 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (* 1 1) into 1 1.997 * [backup-simplify]: Simplify (* 1 1) into 1 1.998 * [backup-simplify]: Simplify (/ 1 1) into 1 1.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.002 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (- 0) into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify -1 into -1 2.003 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.003 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.003 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.003 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.003 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.003 * [taylor]: Taking taylor expansion of f in n 2.003 * [backup-simplify]: Simplify f into f 2.003 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.003 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.003 * [taylor]: Taking taylor expansion of n in n 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (/ 1 1) into 1 2.003 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.003 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.003 * [taylor]: Taking taylor expansion of n in n 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.004 * [backup-simplify]: Simplify (/ 1 1) into 1 2.004 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.004 * [taylor]: Taking taylor expansion of f in n 2.004 * [backup-simplify]: Simplify f into f 2.004 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.004 * [backup-simplify]: Simplify (+ 0 1) into 1 2.004 * [backup-simplify]: Simplify (+ 1 0) into 1 2.004 * [backup-simplify]: Simplify (/ 1 1) into 1 2.004 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.004 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.004 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.004 * [taylor]: Taking taylor expansion of f in f 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (/ 1 1) into 1 2.005 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.005 * [taylor]: Taking taylor expansion of n in f 2.005 * [backup-simplify]: Simplify n into n 2.005 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.005 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.005 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.005 * [taylor]: Taking taylor expansion of n in f 2.005 * [backup-simplify]: Simplify n into n 2.005 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.005 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.005 * [taylor]: Taking taylor expansion of f in f 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (/ 1 1) into 1 2.005 * [backup-simplify]: Simplify (+ 1 0) into 1 2.006 * [backup-simplify]: Simplify (- 1) into -1 2.006 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.006 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.006 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.006 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.006 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.006 * [taylor]: Taking taylor expansion of f in f 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (/ 1 1) into 1 2.006 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.006 * [taylor]: Taking taylor expansion of n in f 2.006 * [backup-simplify]: Simplify n into n 2.006 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.006 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.006 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.007 * [taylor]: Taking taylor expansion of n in f 2.007 * [backup-simplify]: Simplify n into n 2.007 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.007 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.007 * [taylor]: Taking taylor expansion of f in f 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify (/ 1 1) into 1 2.007 * [backup-simplify]: Simplify (+ 1 0) into 1 2.007 * [backup-simplify]: Simplify (- 1) into -1 2.008 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.008 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.008 * [taylor]: Taking taylor expansion of -1 in n 2.008 * [backup-simplify]: Simplify -1 into -1 2.008 * [backup-simplify]: Simplify -1 into -1 2.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.008 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.009 * [backup-simplify]: Simplify (- 0) into 0 2.009 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.009 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.009 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.009 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.009 * [taylor]: Taking taylor expansion of 2 in n 2.009 * [backup-simplify]: Simplify 2 into 2 2.009 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.009 * [taylor]: Taking taylor expansion of n in n 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.010 * [backup-simplify]: Simplify (/ 1 1) into 1 2.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.010 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.011 * [backup-simplify]: Simplify (- 0) into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.011 * [backup-simplify]: Simplify (+ 0 0) into 0 2.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (- 0) into 0 2.012 * [backup-simplify]: Simplify (+ 0 0) into 0 2.013 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.013 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.013 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.013 * [taylor]: Taking taylor expansion of 2 in n 2.013 * [backup-simplify]: Simplify 2 into 2 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.013 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.013 * [taylor]: Taking taylor expansion of n in n 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (* 1 1) into 1 2.014 * [backup-simplify]: Simplify (/ 1 1) into 1 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.016 * [backup-simplify]: Simplify (- 0) into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.017 * [backup-simplify]: Simplify (- 0) into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.018 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (- 0) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.020 * [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)))) 2.020 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.020 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.020 * [taylor]: Taking taylor expansion of 2 in n 2.020 * [backup-simplify]: Simplify 2 into 2 2.020 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.020 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.020 * [taylor]: Taking taylor expansion of n in n 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.021 * [backup-simplify]: Simplify (* 1 1) into 1 2.021 * [backup-simplify]: Simplify (* 1 1) into 1 2.021 * [backup-simplify]: Simplify (/ 1 1) into 1 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.026 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.026 * [backup-simplify]: Simplify (- 0) into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify -1 into -1 2.026 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 2.026 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 2.026 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.026 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.026 * [taylor]: Taking taylor expansion of -1 in n 2.026 * [backup-simplify]: Simplify -1 into -1 2.026 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.026 * [taylor]: Taking taylor expansion of (+ n f) in n 2.026 * [taylor]: Taking taylor expansion of n in n 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [taylor]: Taking taylor expansion of f in n 2.026 * [backup-simplify]: Simplify f into f 2.026 * [taylor]: Taking taylor expansion of (- f n) in n 2.026 * [taylor]: Taking taylor expansion of f in n 2.026 * [backup-simplify]: Simplify f into f 2.026 * [taylor]: Taking taylor expansion of n in n 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [backup-simplify]: Simplify (+ 0 f) into f 2.027 * [backup-simplify]: Simplify (- 0) into 0 2.027 * [backup-simplify]: Simplify (+ f 0) into f 2.027 * [backup-simplify]: Simplify (/ f f) into 1 2.027 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.027 * [taylor]: Taking taylor expansion of -1 in f 2.027 * [backup-simplify]: Simplify -1 into -1 2.027 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.027 * [taylor]: Taking taylor expansion of (+ n f) in f 2.027 * [taylor]: Taking taylor expansion of n in f 2.027 * [backup-simplify]: Simplify n into n 2.027 * [taylor]: Taking taylor expansion of f in f 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [taylor]: Taking taylor expansion of (- f n) in f 2.027 * [taylor]: Taking taylor expansion of f in f 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [taylor]: Taking taylor expansion of n in f 2.027 * [backup-simplify]: Simplify n into n 2.027 * [backup-simplify]: Simplify (+ n 0) into n 2.027 * [backup-simplify]: Simplify (- n) into (- n) 2.027 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.027 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.027 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.027 * [taylor]: Taking taylor expansion of -1 in f 2.027 * [backup-simplify]: Simplify -1 into -1 2.027 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.027 * [taylor]: Taking taylor expansion of (+ n f) in f 2.027 * [taylor]: Taking taylor expansion of n in f 2.027 * [backup-simplify]: Simplify n into n 2.027 * [taylor]: Taking taylor expansion of f in f 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [taylor]: Taking taylor expansion of (- f n) in f 2.027 * [taylor]: Taking taylor expansion of f in f 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [taylor]: Taking taylor expansion of n in f 2.027 * [backup-simplify]: Simplify n into n 2.027 * [backup-simplify]: Simplify (+ n 0) into n 2.027 * [backup-simplify]: Simplify (- n) into (- n) 2.027 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.027 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.028 * [backup-simplify]: Simplify (* -1 -1) into 1 2.028 * [taylor]: Taking taylor expansion of 1 in n 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify (+ 0 1) into 1 2.028 * [backup-simplify]: Simplify (- 0) into 0 2.029 * [backup-simplify]: Simplify (+ 1 0) into 1 2.029 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.029 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.029 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.029 * [taylor]: Taking taylor expansion of 2 in n 2.029 * [backup-simplify]: Simplify 2 into 2 2.029 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.029 * [taylor]: Taking taylor expansion of n in n 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (/ 1 1) into 1 2.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify (+ 0 0) into 0 2.031 * [backup-simplify]: Simplify (- 0) into 0 2.031 * [backup-simplify]: Simplify (+ 0 0) into 0 2.031 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.032 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.032 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.032 * [taylor]: Taking taylor expansion of 2 in n 2.032 * [backup-simplify]: Simplify 2 into 2 2.032 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.032 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.032 * [taylor]: Taking taylor expansion of n in n 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (* 1 1) into 1 2.032 * [backup-simplify]: Simplify (/ 1 1) into 1 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.034 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.035 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify (+ 0 0) into 0 2.036 * [backup-simplify]: Simplify (- 0) into 0 2.036 * [backup-simplify]: Simplify (+ 0 0) into 0 2.036 * [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)))) 2.037 * [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))) 2.037 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.037 * [taylor]: Taking taylor expansion of 2 in n 2.037 * [backup-simplify]: Simplify 2 into 2 2.037 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.037 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.037 * [taylor]: Taking taylor expansion of n in n 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (* 1 1) into 1 2.038 * [backup-simplify]: Simplify (* 1 1) into 1 2.038 * [backup-simplify]: Simplify (/ 1 1) into 1 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.043 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 2.043 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.043 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.043 * [taylor]: Taking taylor expansion of -1 in n 2.043 * [backup-simplify]: Simplify -1 into -1 2.043 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.043 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.043 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.043 * [taylor]: Taking taylor expansion of f in n 2.043 * [backup-simplify]: Simplify f into f 2.043 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.043 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.043 * [taylor]: Taking taylor expansion of n in n 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 1 into 1 2.043 * [backup-simplify]: Simplify (/ 1 1) into 1 2.043 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.043 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.043 * [taylor]: Taking taylor expansion of f in n 2.043 * [backup-simplify]: Simplify f into f 2.043 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.043 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.043 * [taylor]: Taking taylor expansion of n in n 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 1 into 1 2.043 * [backup-simplify]: Simplify (/ 1 1) into 1 2.044 * [backup-simplify]: Simplify (+ 0 1) into 1 2.044 * [backup-simplify]: Simplify (- 1) into -1 2.044 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.044 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.044 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.044 * [taylor]: Taking taylor expansion of -1 in f 2.044 * [backup-simplify]: Simplify -1 into -1 2.044 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.044 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.045 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.045 * [taylor]: Taking taylor expansion of f in f 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.045 * [backup-simplify]: Simplify (/ 1 1) into 1 2.045 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.045 * [taylor]: Taking taylor expansion of n in f 2.045 * [backup-simplify]: Simplify n into n 2.045 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.045 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.045 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.045 * [taylor]: Taking taylor expansion of f in f 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.045 * [backup-simplify]: Simplify (/ 1 1) into 1 2.045 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.045 * [taylor]: Taking taylor expansion of n in f 2.045 * [backup-simplify]: Simplify n into n 2.045 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.045 * [backup-simplify]: Simplify (+ 1 0) into 1 2.046 * [backup-simplify]: Simplify (+ 1 0) into 1 2.046 * [backup-simplify]: Simplify (/ 1 1) into 1 2.046 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.046 * [taylor]: Taking taylor expansion of -1 in f 2.046 * [backup-simplify]: Simplify -1 into -1 2.046 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.046 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.046 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.046 * [taylor]: Taking taylor expansion of f in f 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 1 into 1 2.046 * [backup-simplify]: Simplify (/ 1 1) into 1 2.046 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.046 * [taylor]: Taking taylor expansion of n in f 2.046 * [backup-simplify]: Simplify n into n 2.046 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.046 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.046 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.046 * [taylor]: Taking taylor expansion of f in f 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 1 into 1 2.047 * [backup-simplify]: Simplify (/ 1 1) into 1 2.047 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.047 * [taylor]: Taking taylor expansion of n in f 2.047 * [backup-simplify]: Simplify n into n 2.047 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.047 * [backup-simplify]: Simplify (+ 1 0) into 1 2.047 * [backup-simplify]: Simplify (+ 1 0) into 1 2.050 * [backup-simplify]: Simplify (/ 1 1) into 1 2.050 * [backup-simplify]: Simplify (* -1 1) into -1 2.050 * [taylor]: Taking taylor expansion of -1 in n 2.050 * [backup-simplify]: Simplify -1 into -1 2.050 * [backup-simplify]: Simplify -1 into -1 2.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.051 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.052 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.052 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.052 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.052 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.052 * [taylor]: Taking taylor expansion of 2 in n 2.052 * [backup-simplify]: Simplify 2 into 2 2.052 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.052 * [taylor]: Taking taylor expansion of n in n 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (/ 1 1) into 1 2.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.053 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.053 * [backup-simplify]: Simplify (- 0) into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.054 * [backup-simplify]: Simplify (+ 0 0) into 0 2.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.055 * [backup-simplify]: Simplify (- 0) into 0 2.055 * [backup-simplify]: Simplify (+ 0 0) into 0 2.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.056 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.056 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.056 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.056 * [taylor]: Taking taylor expansion of 2 in n 2.056 * [backup-simplify]: Simplify 2 into 2 2.056 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.056 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.056 * [taylor]: Taking taylor expansion of n in n 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.057 * [backup-simplify]: Simplify (* 1 1) into 1 2.057 * [backup-simplify]: Simplify (/ 1 1) into 1 2.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.059 * [backup-simplify]: Simplify (- 0) into 0 2.059 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.061 * [backup-simplify]: Simplify (- 0) into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.061 * [backup-simplify]: Simplify (+ 0 0) into 0 2.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.062 * [backup-simplify]: Simplify (- 0) into 0 2.062 * [backup-simplify]: Simplify (+ 0 0) into 0 2.063 * [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))) 2.064 * [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)))) 2.064 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.064 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.064 * [taylor]: Taking taylor expansion of 2 in n 2.064 * [backup-simplify]: Simplify 2 into 2 2.064 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.064 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.064 * [taylor]: Taking taylor expansion of n in n 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.064 * [backup-simplify]: Simplify (* 1 1) into 1 2.065 * [backup-simplify]: Simplify (* 1 1) into 1 2.065 * [backup-simplify]: Simplify (/ 1 1) into 1 2.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (- 0) into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify -1 into -1 2.070 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.070 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.070 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.070 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.070 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.070 * [taylor]: Taking taylor expansion of f in n 2.070 * [backup-simplify]: Simplify f into f 2.070 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.070 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.070 * [taylor]: Taking taylor expansion of n in n 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.071 * [backup-simplify]: Simplify (/ 1 1) into 1 2.071 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.071 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.071 * [taylor]: Taking taylor expansion of n in n 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [backup-simplify]: Simplify (/ 1 1) into 1 2.071 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.071 * [taylor]: Taking taylor expansion of f in n 2.071 * [backup-simplify]: Simplify f into f 2.071 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.071 * [backup-simplify]: Simplify (+ 0 1) into 1 2.071 * [backup-simplify]: Simplify (+ 1 0) into 1 2.072 * [backup-simplify]: Simplify (/ 1 1) into 1 2.072 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.072 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.072 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.072 * [taylor]: Taking taylor expansion of f in f 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [backup-simplify]: Simplify (/ 1 1) into 1 2.072 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.072 * [taylor]: Taking taylor expansion of n in f 2.072 * [backup-simplify]: Simplify n into n 2.072 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.072 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.072 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.072 * [taylor]: Taking taylor expansion of n in f 2.072 * [backup-simplify]: Simplify n into n 2.072 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.072 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.072 * [taylor]: Taking taylor expansion of f in f 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [backup-simplify]: Simplify (/ 1 1) into 1 2.073 * [backup-simplify]: Simplify (+ 1 0) into 1 2.073 * [backup-simplify]: Simplify (- 1) into -1 2.073 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.073 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.073 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.073 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.073 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.073 * [taylor]: Taking taylor expansion of f in f 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (/ 1 1) into 1 2.074 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.074 * [taylor]: Taking taylor expansion of n in f 2.074 * [backup-simplify]: Simplify n into n 2.074 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.074 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.074 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.074 * [taylor]: Taking taylor expansion of n in f 2.074 * [backup-simplify]: Simplify n into n 2.074 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.074 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.074 * [taylor]: Taking taylor expansion of f in f 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (/ 1 1) into 1 2.074 * [backup-simplify]: Simplify (+ 1 0) into 1 2.075 * [backup-simplify]: Simplify (- 1) into -1 2.075 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.075 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.075 * [taylor]: Taking taylor expansion of -1 in n 2.075 * [backup-simplify]: Simplify -1 into -1 2.075 * [backup-simplify]: Simplify -1 into -1 2.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.076 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.076 * [backup-simplify]: Simplify (- 0) into 0 2.076 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.076 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.076 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.077 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.077 * [taylor]: Taking taylor expansion of 2 in n 2.077 * [backup-simplify]: Simplify 2 into 2 2.077 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.077 * [taylor]: Taking taylor expansion of n in n 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (/ 1 1) into 1 2.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.078 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.078 * [backup-simplify]: Simplify (- 0) into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.079 * [backup-simplify]: Simplify (+ 0 0) into 0 2.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (- 0) into 0 2.080 * [backup-simplify]: Simplify (+ 0 0) into 0 2.080 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.080 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.080 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.080 * [taylor]: Taking taylor expansion of 2 in n 2.080 * [backup-simplify]: Simplify 2 into 2 2.080 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.080 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.080 * [taylor]: Taking taylor expansion of n in n 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.081 * [backup-simplify]: Simplify (* 1 1) into 1 2.081 * [backup-simplify]: Simplify (/ 1 1) into 1 2.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.083 * [backup-simplify]: Simplify (- 0) into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.085 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.085 * [backup-simplify]: Simplify (- 0) into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.086 * [backup-simplify]: Simplify (+ 0 0) into 0 2.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.086 * [backup-simplify]: Simplify (- 0) into 0 2.087 * [backup-simplify]: Simplify (+ 0 0) into 0 2.088 * [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)))) 2.088 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.088 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.088 * [taylor]: Taking taylor expansion of 2 in n 2.088 * [backup-simplify]: Simplify 2 into 2 2.088 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.088 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.088 * [taylor]: Taking taylor expansion of n in n 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 1 into 1 2.088 * [backup-simplify]: Simplify (* 1 1) into 1 2.088 * [backup-simplify]: Simplify (* 1 1) into 1 2.089 * [backup-simplify]: Simplify (/ 1 1) into 1 2.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (- 0) into 0 2.093 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify -1 into -1 2.094 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.094 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 2.094 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.094 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.094 * [taylor]: Taking taylor expansion of -1 in n 2.094 * [backup-simplify]: Simplify -1 into -1 2.094 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.094 * [taylor]: Taking taylor expansion of (+ n f) in n 2.094 * [taylor]: Taking taylor expansion of n in n 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [taylor]: Taking taylor expansion of f in n 2.094 * [backup-simplify]: Simplify f into f 2.094 * [taylor]: Taking taylor expansion of (- f n) in n 2.094 * [taylor]: Taking taylor expansion of f in n 2.094 * [backup-simplify]: Simplify f into f 2.094 * [taylor]: Taking taylor expansion of n in n 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (+ 0 f) into f 2.094 * [backup-simplify]: Simplify (- 0) into 0 2.094 * [backup-simplify]: Simplify (+ f 0) into f 2.094 * [backup-simplify]: Simplify (/ f f) into 1 2.094 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.094 * [taylor]: Taking taylor expansion of -1 in f 2.094 * [backup-simplify]: Simplify -1 into -1 2.094 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.094 * [taylor]: Taking taylor expansion of (+ n f) in f 2.094 * [taylor]: Taking taylor expansion of n in f 2.094 * [backup-simplify]: Simplify n into n 2.094 * [taylor]: Taking taylor expansion of f in f 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [taylor]: Taking taylor expansion of (- f n) in f 2.094 * [taylor]: Taking taylor expansion of f in f 2.094 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.095 * [taylor]: Taking taylor expansion of n in f 2.095 * [backup-simplify]: Simplify n into n 2.095 * [backup-simplify]: Simplify (+ n 0) into n 2.095 * [backup-simplify]: Simplify (- n) into (- n) 2.095 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.095 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.095 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.095 * [taylor]: Taking taylor expansion of -1 in f 2.095 * [backup-simplify]: Simplify -1 into -1 2.095 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.095 * [taylor]: Taking taylor expansion of (+ n f) in f 2.095 * [taylor]: Taking taylor expansion of n in f 2.095 * [backup-simplify]: Simplify n into n 2.095 * [taylor]: Taking taylor expansion of f in f 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.095 * [taylor]: Taking taylor expansion of (- f n) in f 2.095 * [taylor]: Taking taylor expansion of f in f 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.095 * [taylor]: Taking taylor expansion of n in f 2.095 * [backup-simplify]: Simplify n into n 2.095 * [backup-simplify]: Simplify (+ n 0) into n 2.095 * [backup-simplify]: Simplify (- n) into (- n) 2.095 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.095 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.095 * [backup-simplify]: Simplify (* -1 -1) into 1 2.095 * [taylor]: Taking taylor expansion of 1 in n 2.095 * [backup-simplify]: Simplify 1 into 1 2.095 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (+ 0 1) into 1 2.096 * [backup-simplify]: Simplify (- 0) into 0 2.096 * [backup-simplify]: Simplify (+ 1 0) into 1 2.096 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.096 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.097 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.097 * [taylor]: Taking taylor expansion of 2 in n 2.097 * [backup-simplify]: Simplify 2 into 2 2.097 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.097 * [taylor]: Taking taylor expansion of n in n 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 1 into 1 2.097 * [backup-simplify]: Simplify (/ 1 1) into 1 2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify (+ 0 0) into 0 2.098 * [backup-simplify]: Simplify (- 0) into 0 2.098 * [backup-simplify]: Simplify (+ 0 0) into 0 2.099 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.099 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.099 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.099 * [taylor]: Taking taylor expansion of 2 in n 2.099 * [backup-simplify]: Simplify 2 into 2 2.099 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.099 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.099 * [taylor]: Taking taylor expansion of n in n 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 1 into 1 2.099 * [backup-simplify]: Simplify (* 1 1) into 1 2.100 * [backup-simplify]: Simplify (/ 1 1) into 1 2.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.103 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify (+ 0 0) into 0 2.103 * [backup-simplify]: Simplify (- 0) into 0 2.104 * [backup-simplify]: Simplify (+ 0 0) into 0 2.104 * [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)))) 2.105 * [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))) 2.105 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.105 * [taylor]: Taking taylor expansion of 2 in n 2.105 * [backup-simplify]: Simplify 2 into 2 2.105 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.105 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.105 * [taylor]: Taking taylor expansion of n in n 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 1 into 1 2.105 * [backup-simplify]: Simplify (* 1 1) into 1 2.105 * [backup-simplify]: Simplify (* 1 1) into 1 2.105 * [backup-simplify]: Simplify (/ 1 1) into 1 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.110 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 2.110 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.110 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.110 * [taylor]: Taking taylor expansion of -1 in n 2.110 * [backup-simplify]: Simplify -1 into -1 2.110 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.110 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.110 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.110 * [taylor]: Taking taylor expansion of f in n 2.110 * [backup-simplify]: Simplify f into f 2.110 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.110 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.110 * [taylor]: Taking taylor expansion of n in n 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (/ 1 1) into 1 2.111 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.111 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.111 * [taylor]: Taking taylor expansion of f in n 2.111 * [backup-simplify]: Simplify f into f 2.111 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.111 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.111 * [taylor]: Taking taylor expansion of n in n 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (/ 1 1) into 1 2.111 * [backup-simplify]: Simplify (+ 0 1) into 1 2.112 * [backup-simplify]: Simplify (- 1) into -1 2.112 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.112 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.112 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.112 * [taylor]: Taking taylor expansion of -1 in f 2.112 * [backup-simplify]: Simplify -1 into -1 2.112 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.112 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.112 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.112 * [taylor]: Taking taylor expansion of f in f 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify (/ 1 1) into 1 2.112 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.112 * [taylor]: Taking taylor expansion of n in f 2.113 * [backup-simplify]: Simplify n into n 2.113 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.113 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.113 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.113 * [taylor]: Taking taylor expansion of f in f 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 1 into 1 2.113 * [backup-simplify]: Simplify (/ 1 1) into 1 2.113 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.113 * [taylor]: Taking taylor expansion of n in f 2.113 * [backup-simplify]: Simplify n into n 2.113 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.113 * [backup-simplify]: Simplify (+ 1 0) into 1 2.113 * [backup-simplify]: Simplify (+ 1 0) into 1 2.114 * [backup-simplify]: Simplify (/ 1 1) into 1 2.114 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.114 * [taylor]: Taking taylor expansion of -1 in f 2.114 * [backup-simplify]: Simplify -1 into -1 2.114 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.114 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.114 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.114 * [taylor]: Taking taylor expansion of f in f 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [backup-simplify]: Simplify (/ 1 1) into 1 2.114 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.114 * [taylor]: Taking taylor expansion of n in f 2.114 * [backup-simplify]: Simplify n into n 2.114 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.114 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.114 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.114 * [taylor]: Taking taylor expansion of f in f 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [backup-simplify]: Simplify (/ 1 1) into 1 2.114 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.114 * [taylor]: Taking taylor expansion of n in f 2.114 * [backup-simplify]: Simplify n into n 2.115 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.115 * [backup-simplify]: Simplify (+ 1 0) into 1 2.115 * [backup-simplify]: Simplify (+ 1 0) into 1 2.115 * [backup-simplify]: Simplify (/ 1 1) into 1 2.116 * [backup-simplify]: Simplify (* -1 1) into -1 2.116 * [taylor]: Taking taylor expansion of -1 in n 2.116 * [backup-simplify]: Simplify -1 into -1 2.116 * [backup-simplify]: Simplify -1 into -1 2.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.116 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.117 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.117 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.117 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.117 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.117 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.117 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.117 * [taylor]: Taking taylor expansion of 2 in n 2.117 * [backup-simplify]: Simplify 2 into 2 2.117 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.117 * [taylor]: Taking taylor expansion of n in n 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.118 * [backup-simplify]: Simplify (/ 1 1) into 1 2.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.118 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.119 * [backup-simplify]: Simplify (- 0) into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.120 * [backup-simplify]: Simplify (+ 0 0) into 0 2.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.120 * [backup-simplify]: Simplify (- 0) into 0 2.121 * [backup-simplify]: Simplify (+ 0 0) into 0 2.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.122 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.122 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.122 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.122 * [taylor]: Taking taylor expansion of 2 in n 2.122 * [backup-simplify]: Simplify 2 into 2 2.122 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.122 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.122 * [taylor]: Taking taylor expansion of n in n 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 1 into 1 2.122 * [backup-simplify]: Simplify (* 1 1) into 1 2.122 * [backup-simplify]: Simplify (/ 1 1) into 1 2.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.125 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.125 * [backup-simplify]: Simplify (- 0) into 0 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.126 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.126 * [backup-simplify]: Simplify (- 0) into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.128 * [backup-simplify]: Simplify (- 0) into 0 2.128 * [backup-simplify]: Simplify (+ 0 0) into 0 2.129 * [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))) 2.130 * [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)))) 2.130 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.130 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.130 * [taylor]: Taking taylor expansion of 2 in n 2.130 * [backup-simplify]: Simplify 2 into 2 2.130 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.130 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.130 * [taylor]: Taking taylor expansion of n in n 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [backup-simplify]: Simplify (* 1 1) into 1 2.130 * [backup-simplify]: Simplify (* 1 1) into 1 2.130 * [backup-simplify]: Simplify (/ 1 1) into 1 2.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.135 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.135 * [backup-simplify]: Simplify (- 0) into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify -1 into -1 2.136 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.136 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.136 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.136 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.136 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.136 * [taylor]: Taking taylor expansion of f in n 2.136 * [backup-simplify]: Simplify f into f 2.136 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.136 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.136 * [taylor]: Taking taylor expansion of n in n 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (/ 1 1) into 1 2.136 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.136 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.136 * [taylor]: Taking taylor expansion of n in n 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (/ 1 1) into 1 2.136 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.136 * [taylor]: Taking taylor expansion of f in n 2.136 * [backup-simplify]: Simplify f into f 2.136 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.137 * [backup-simplify]: Simplify (+ 0 1) into 1 2.137 * [backup-simplify]: Simplify (+ 1 0) into 1 2.137 * [backup-simplify]: Simplify (/ 1 1) into 1 2.137 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.137 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.137 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.137 * [taylor]: Taking taylor expansion of f in f 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [backup-simplify]: Simplify (/ 1 1) into 1 2.137 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.137 * [taylor]: Taking taylor expansion of n in f 2.137 * [backup-simplify]: Simplify n into n 2.138 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.138 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.138 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.138 * [taylor]: Taking taylor expansion of n in f 2.138 * [backup-simplify]: Simplify n into n 2.138 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.138 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.138 * [taylor]: Taking taylor expansion of f in f 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.138 * [backup-simplify]: Simplify (/ 1 1) into 1 2.138 * [backup-simplify]: Simplify (+ 1 0) into 1 2.138 * [backup-simplify]: Simplify (- 1) into -1 2.139 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.139 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.139 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.139 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.139 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.139 * [taylor]: Taking taylor expansion of f in f 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (/ 1 1) into 1 2.141 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.141 * [taylor]: Taking taylor expansion of n in f 2.141 * [backup-simplify]: Simplify n into n 2.141 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.141 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.141 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.142 * [taylor]: Taking taylor expansion of n in f 2.142 * [backup-simplify]: Simplify n into n 2.142 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.142 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.142 * [taylor]: Taking taylor expansion of f in f 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 1 into 1 2.142 * [backup-simplify]: Simplify (/ 1 1) into 1 2.142 * [backup-simplify]: Simplify (+ 1 0) into 1 2.142 * [backup-simplify]: Simplify (- 1) into -1 2.143 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.143 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.143 * [taylor]: Taking taylor expansion of -1 in n 2.143 * [backup-simplify]: Simplify -1 into -1 2.143 * [backup-simplify]: Simplify -1 into -1 2.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.143 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (- 0) into 0 2.144 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.144 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.144 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.144 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.144 * [taylor]: Taking taylor expansion of 2 in n 2.144 * [backup-simplify]: Simplify 2 into 2 2.144 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.144 * [taylor]: Taking taylor expansion of n in n 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (/ 1 1) into 1 2.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.145 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.146 * [backup-simplify]: Simplify (- 0) into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.146 * [backup-simplify]: Simplify (+ 0 0) into 0 2.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.147 * [backup-simplify]: Simplify (- 0) into 0 2.147 * [backup-simplify]: Simplify (+ 0 0) into 0 2.148 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.148 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.148 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.148 * [taylor]: Taking taylor expansion of 2 in n 2.148 * [backup-simplify]: Simplify 2 into 2 2.148 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.148 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.148 * [taylor]: Taking taylor expansion of n in n 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 1 into 1 2.148 * [backup-simplify]: Simplify (* 1 1) into 1 2.149 * [backup-simplify]: Simplify (/ 1 1) into 1 2.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.151 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.151 * [backup-simplify]: Simplify (- 0) into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.152 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.152 * [backup-simplify]: Simplify (- 0) into 0 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.153 * [backup-simplify]: Simplify (+ 0 0) into 0 2.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.154 * [backup-simplify]: Simplify (- 0) into 0 2.154 * [backup-simplify]: Simplify (+ 0 0) into 0 2.155 * [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)))) 2.155 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.155 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.155 * [taylor]: Taking taylor expansion of 2 in n 2.155 * [backup-simplify]: Simplify 2 into 2 2.155 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.155 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.155 * [taylor]: Taking taylor expansion of n in n 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 1 into 1 2.156 * [backup-simplify]: Simplify (* 1 1) into 1 2.156 * [backup-simplify]: Simplify (* 1 1) into 1 2.156 * [backup-simplify]: Simplify (/ 1 1) into 1 2.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.161 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.161 * [backup-simplify]: Simplify (- 0) into 0 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify -1 into -1 2.161 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.162 * [backup-simplify]: Simplify (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) into (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) 2.162 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in (f n) around 0 2.162 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in n 2.162 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 2.162 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.162 * [taylor]: Taking taylor expansion of -1 in n 2.162 * [backup-simplify]: Simplify -1 into -1 2.162 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.163 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.163 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in n 2.163 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in n 2.163 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in n 2.163 * [taylor]: Taking taylor expansion of 1/3 in n 2.163 * [backup-simplify]: Simplify 1/3 into 1/3 2.163 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in n 2.163 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 2.163 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 2.163 * [taylor]: Taking taylor expansion of (+ n f) in n 2.163 * [taylor]: Taking taylor expansion of n in n 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [taylor]: Taking taylor expansion of f in n 2.163 * [backup-simplify]: Simplify f into f 2.163 * [backup-simplify]: Simplify (+ 0 f) into f 2.163 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 2.163 * [taylor]: Taking taylor expansion of (- f n) in n 2.163 * [taylor]: Taking taylor expansion of f in n 2.163 * [backup-simplify]: Simplify f into f 2.163 * [taylor]: Taking taylor expansion of n in n 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify (- 0) into 0 2.163 * [backup-simplify]: Simplify (+ f 0) into f 2.163 * [backup-simplify]: Simplify (* f f) into (pow f 2) 2.163 * [backup-simplify]: Simplify (* f f) into (pow f 2) 2.163 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 2.164 * [backup-simplify]: Simplify (log 1) into 0 2.164 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.165 * [backup-simplify]: Simplify (+ 1 0) into 1 2.165 * [backup-simplify]: Simplify (+ (* f 1) (* 1 f)) into (* 2 f) 2.165 * [backup-simplify]: Simplify (- 1) into -1 2.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.165 * [backup-simplify]: Simplify (+ (* f -1) (* -1 f)) into (- (* 2 f)) 2.165 * [backup-simplify]: Simplify (- (/ (* 2 f) (pow f 2)) (+ (* 1 (/ (- (* 2 f)) (pow f 2))))) into (* 4 (/ 1 f)) 2.166 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 2.166 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 2.166 * [backup-simplify]: Simplify (exp 0) into 1 2.166 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in f 2.166 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 2.166 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.166 * [taylor]: Taking taylor expansion of -1 in f 2.166 * [backup-simplify]: Simplify -1 into -1 2.167 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.167 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.167 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 2.167 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 2.167 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 2.167 * [taylor]: Taking taylor expansion of 1/3 in f 2.167 * [backup-simplify]: Simplify 1/3 into 1/3 2.167 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 2.167 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 2.167 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 2.167 * [taylor]: Taking taylor expansion of (+ n f) in f 2.167 * [taylor]: Taking taylor expansion of n in f 2.167 * [backup-simplify]: Simplify n into n 2.167 * [taylor]: Taking taylor expansion of f in f 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 1 into 1 2.167 * [backup-simplify]: Simplify (+ n 0) into n 2.167 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 2.167 * [taylor]: Taking taylor expansion of (- f n) in f 2.167 * [taylor]: Taking taylor expansion of f in f 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 1 into 1 2.168 * [taylor]: Taking taylor expansion of n in f 2.168 * [backup-simplify]: Simplify n into n 2.168 * [backup-simplify]: Simplify (- n) into (- n) 2.168 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.168 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.168 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 2.168 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 2.168 * [backup-simplify]: Simplify (log 1) into 0 2.168 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.169 * [backup-simplify]: Simplify (+ 0 1) into 1 2.169 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 2.169 * [backup-simplify]: Simplify (- 0) into 0 2.169 * [backup-simplify]: Simplify (+ 1 0) into 1 2.169 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 2.169 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 2.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 2.170 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 2.170 * [backup-simplify]: Simplify (exp 0) into 1 2.170 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in f 2.170 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 2.170 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.170 * [taylor]: Taking taylor expansion of -1 in f 2.170 * [backup-simplify]: Simplify -1 into -1 2.170 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.171 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.171 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 2.171 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 2.171 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 2.171 * [taylor]: Taking taylor expansion of 1/3 in f 2.171 * [backup-simplify]: Simplify 1/3 into 1/3 2.171 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 2.171 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 2.171 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 2.171 * [taylor]: Taking taylor expansion of (+ n f) in f 2.171 * [taylor]: Taking taylor expansion of n in f 2.171 * [backup-simplify]: Simplify n into n 2.171 * [taylor]: Taking taylor expansion of f in f 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.171 * [backup-simplify]: Simplify (+ n 0) into n 2.171 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 2.171 * [taylor]: Taking taylor expansion of (- f n) in f 2.171 * [taylor]: Taking taylor expansion of f in f 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.171 * [taylor]: Taking taylor expansion of n in f 2.171 * [backup-simplify]: Simplify n into n 2.171 * [backup-simplify]: Simplify (- n) into (- n) 2.171 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.171 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.171 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 2.172 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 2.172 * [backup-simplify]: Simplify (log 1) into 0 2.172 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.172 * [backup-simplify]: Simplify (+ 0 1) into 1 2.172 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 2.173 * [backup-simplify]: Simplify (- 0) into 0 2.173 * [backup-simplify]: Simplify (+ 1 0) into 1 2.173 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 2.173 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 2.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 2.174 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 2.174 * [backup-simplify]: Simplify (exp 0) into 1 2.175 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 2.176 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 2.176 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 2.176 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.176 * [taylor]: Taking taylor expansion of -1 in n 2.176 * [backup-simplify]: Simplify -1 into -1 2.176 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.176 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.177 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 2.178 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 2.179 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 2.179 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 2.180 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (/ 4/3 n)) (* 0 1)) into (* 4/3 (/ (pow (cbrt -1) 2) n)) 2.180 * [taylor]: Taking taylor expansion of (* 4/3 (/ (pow (cbrt -1) 2) n)) in n 2.180 * [taylor]: Taking taylor expansion of 4/3 in n 2.180 * [backup-simplify]: Simplify 4/3 into 4/3 2.180 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) n) in n 2.180 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 2.180 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.180 * [taylor]: Taking taylor expansion of -1 in n 2.180 * [backup-simplify]: Simplify -1 into -1 2.181 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.181 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.181 * [taylor]: Taking taylor expansion of n in n 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 1 into 1 2.182 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 2.183 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 2.184 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 2.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 2.185 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (pow (cbrt -1) 2))) into 0 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 2.185 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify (+ 0 0) into 0 2.187 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 2.187 * [backup-simplify]: Simplify (- 0) into 0 2.187 * [backup-simplify]: Simplify (+ 0 0) into 0 2.187 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 2.188 * [backup-simplify]: Simplify (- (/ 1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 4 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 8 (/ 1 (pow n 2))) 2.188 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 2.189 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 2.190 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 2.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.191 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.192 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (/ 8/9 (pow n 2))) (+ (* 0 (/ 4/3 n)) (* 0 1))) into (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) 2.192 * [taylor]: Taking taylor expansion of (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) in n 2.192 * [taylor]: Taking taylor expansion of 8/9 in n 2.192 * [backup-simplify]: Simplify 8/9 into 8/9 2.192 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 2)) in n 2.192 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 2.192 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.192 * [taylor]: Taking taylor expansion of -1 in n 2.192 * [backup-simplify]: Simplify -1 into -1 2.192 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.193 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.193 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.193 * [taylor]: Taking taylor expansion of n in n 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 2.194 * [backup-simplify]: Simplify (* 1 1) into 1 2.195 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 2.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.196 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.197 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 2.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 2.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (+ (* 8/9 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.201 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.203 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.204 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify (+ 0 0) into 0 2.205 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 2.205 * [backup-simplify]: Simplify (- 0) into 0 2.205 * [backup-simplify]: Simplify (+ 0 0) into 0 2.206 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 2.206 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 4 (/ 1 n)) (/ 1 (pow n 2))) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 12 (/ 1 (pow n 3))) 2.208 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 2.209 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 2.209 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 2.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.211 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 2.212 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (/ 68/81 (pow n 3))) (+ (* 0 (/ 8/9 (pow n 2))) (+ (* 0 (/ 4/3 n)) (* 0 1)))) into (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) 2.212 * [taylor]: Taking taylor expansion of (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) in n 2.212 * [taylor]: Taking taylor expansion of 68/81 in n 2.212 * [backup-simplify]: Simplify 68/81 into 68/81 2.212 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 3)) in n 2.212 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 2.212 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.212 * [taylor]: Taking taylor expansion of -1 in n 2.212 * [backup-simplify]: Simplify -1 into -1 2.212 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.213 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.213 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.213 * [taylor]: Taking taylor expansion of n in n 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.214 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 2.214 * [backup-simplify]: Simplify (* 1 1) into 1 2.214 * [backup-simplify]: Simplify (* 1 1) into 1 2.215 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 2.216 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.217 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 2.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.220 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 2.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 2.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.222 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (+ (* 68/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 2.225 * [backup-simplify]: Simplify (* (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* (pow (cbrt -1) 2) (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3)) 2.225 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3)) in (f n) around 0 2.225 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3)) in n 2.226 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 2.226 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.226 * [taylor]: Taking taylor expansion of -1 in n 2.226 * [backup-simplify]: Simplify -1 into -1 2.226 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.226 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.226 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in n 2.226 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in n 2.226 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in n 2.226 * [taylor]: Taking taylor expansion of 1/3 in n 2.226 * [backup-simplify]: Simplify 1/3 into 1/3 2.226 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in n 2.226 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 2.226 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 2.226 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.226 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.226 * [taylor]: Taking taylor expansion of f in n 2.226 * [backup-simplify]: Simplify f into f 2.227 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.227 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.227 * [taylor]: Taking taylor expansion of n in n 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 1 into 1 2.227 * [backup-simplify]: Simplify (/ 1 1) into 1 2.227 * [backup-simplify]: Simplify (+ 0 1) into 1 2.227 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 2.227 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.227 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.227 * [taylor]: Taking taylor expansion of f in n 2.227 * [backup-simplify]: Simplify f into f 2.227 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.227 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.227 * [taylor]: Taking taylor expansion of n in n 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 1 into 1 2.227 * [backup-simplify]: Simplify (/ 1 1) into 1 2.228 * [backup-simplify]: Simplify (- 1) into -1 2.228 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.228 * [backup-simplify]: Simplify (* 1 1) into 1 2.228 * [backup-simplify]: Simplify (* -1 -1) into 1 2.229 * [backup-simplify]: Simplify (/ 1 1) into 1 2.229 * [backup-simplify]: Simplify (log 1) into 0 2.229 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.230 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 2.230 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 2.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.230 * [backup-simplify]: Simplify (- 0) into 0 2.230 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 2.230 * [backup-simplify]: Simplify (+ (* -1 (/ 1 f)) (* (/ 1 f) -1)) into (- (* 2 (/ 1 f))) 2.231 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f)) 2.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 2.231 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 2.231 * [backup-simplify]: Simplify (exp 0) into 1 2.231 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3)) in f 2.231 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 2.231 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.231 * [taylor]: Taking taylor expansion of -1 in f 2.231 * [backup-simplify]: Simplify -1 into -1 2.232 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.232 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.232 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 2.232 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 2.232 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 2.232 * [taylor]: Taking taylor expansion of 1/3 in f 2.232 * [backup-simplify]: Simplify 1/3 into 1/3 2.232 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 2.232 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 2.232 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 2.232 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.232 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.232 * [taylor]: Taking taylor expansion of f in f 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 1 into 1 2.233 * [backup-simplify]: Simplify (/ 1 1) into 1 2.233 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.233 * [taylor]: Taking taylor expansion of n in f 2.233 * [backup-simplify]: Simplify n into n 2.233 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.233 * [backup-simplify]: Simplify (+ 1 0) into 1 2.233 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 2.233 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.233 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.233 * [taylor]: Taking taylor expansion of f in f 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 1 into 1 2.233 * [backup-simplify]: Simplify (/ 1 1) into 1 2.233 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.233 * [taylor]: Taking taylor expansion of n in f 2.233 * [backup-simplify]: Simplify n into n 2.233 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.233 * [backup-simplify]: Simplify (+ 1 0) into 1 2.237 * [backup-simplify]: Simplify (* 1 1) into 1 2.237 * [backup-simplify]: Simplify (* 1 1) into 1 2.237 * [backup-simplify]: Simplify (/ 1 1) into 1 2.238 * [backup-simplify]: Simplify (log 1) into 0 2.238 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.238 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.239 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 2.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.239 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.239 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.239 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 2.239 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 2.240 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 2.240 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 2.240 * [backup-simplify]: Simplify (exp 0) into 1 2.240 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3)) in f 2.240 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 2.240 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.240 * [taylor]: Taking taylor expansion of -1 in f 2.240 * [backup-simplify]: Simplify -1 into -1 2.241 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.241 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.241 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 2.241 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 2.241 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 2.241 * [taylor]: Taking taylor expansion of 1/3 in f 2.241 * [backup-simplify]: Simplify 1/3 into 1/3 2.241 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 2.241 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 2.241 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 2.241 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.241 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.241 * [taylor]: Taking taylor expansion of f in f 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 1 into 1 2.242 * [backup-simplify]: Simplify (/ 1 1) into 1 2.242 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.242 * [taylor]: Taking taylor expansion of n in f 2.242 * [backup-simplify]: Simplify n into n 2.242 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.242 * [backup-simplify]: Simplify (+ 1 0) into 1 2.242 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 2.242 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.242 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.242 * [taylor]: Taking taylor expansion of f in f 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify 1 into 1 2.242 * [backup-simplify]: Simplify (/ 1 1) into 1 2.242 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.242 * [taylor]: Taking taylor expansion of n in f 2.242 * [backup-simplify]: Simplify n into n 2.242 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.243 * [backup-simplify]: Simplify (+ 1 0) into 1 2.243 * [backup-simplify]: Simplify (* 1 1) into 1 2.243 * [backup-simplify]: Simplify (* 1 1) into 1 2.243 * [backup-simplify]: Simplify (/ 1 1) into 1 2.243 * [backup-simplify]: Simplify (log 1) into 0 2.244 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.244 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.244 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 2.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.245 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.245 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.245 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 2.245 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 2.246 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 2.246 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 2.246 * [backup-simplify]: Simplify (exp 0) into 1 2.247 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 2.248 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 2.248 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 2.248 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.248 * [taylor]: Taking taylor expansion of -1 in n 2.248 * [backup-simplify]: Simplify -1 into -1 2.248 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.249 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.249 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 2.250 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 2.250 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 2.251 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 2.252 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (/ 4/3 n)) (* 0 1)) into (* 4/3 (/ (pow (cbrt -1) 2) n)) 2.252 * [taylor]: Taking taylor expansion of (* 4/3 (/ (pow (cbrt -1) 2) n)) in n 2.252 * [taylor]: Taking taylor expansion of 4/3 in n 2.252 * [backup-simplify]: Simplify 4/3 into 4/3 2.252 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) n) in n 2.252 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 2.252 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.252 * [taylor]: Taking taylor expansion of -1 in n 2.252 * [backup-simplify]: Simplify -1 into -1 2.252 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.253 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.253 * [taylor]: Taking taylor expansion of n in n 2.253 * [backup-simplify]: Simplify 0 into 0 2.253 * [backup-simplify]: Simplify 1 into 1 2.253 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 2.254 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 2.255 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 2.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 2.256 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (pow (cbrt -1) 2))) into 0 2.256 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.258 * [backup-simplify]: Simplify (+ 0 0) into 0 2.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 2.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.259 * [backup-simplify]: Simplify (- 0) into 0 2.259 * [backup-simplify]: Simplify (+ 0 0) into 0 2.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 2.260 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 2.261 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 2.261 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 2.262 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 2.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.263 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.264 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (/ 8/9 (pow n 2))) (+ (* 0 (/ 4/3 n)) (* 0 1))) into (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) 2.264 * [taylor]: Taking taylor expansion of (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) in n 2.264 * [taylor]: Taking taylor expansion of 8/9 in n 2.265 * [backup-simplify]: Simplify 8/9 into 8/9 2.265 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 2)) in n 2.265 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 2.265 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.265 * [taylor]: Taking taylor expansion of -1 in n 2.265 * [backup-simplify]: Simplify -1 into -1 2.265 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.265 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.265 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.265 * [taylor]: Taking taylor expansion of n in n 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 2.266 * [backup-simplify]: Simplify (* 1 1) into 1 2.267 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 2.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.269 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.270 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 2.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify (+ (* 8/9 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 2.272 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.274 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.275 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 2.275 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.277 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.277 * [backup-simplify]: Simplify (+ 0 0) into 0 2.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 2.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.279 * [backup-simplify]: Simplify (- 0) into 0 2.279 * [backup-simplify]: Simplify (+ 0 0) into 0 2.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 2.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 2.282 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 2.282 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 2.283 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 2.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.285 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 2.286 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (/ 68/81 (pow n 3))) (+ (* 0 (/ 8/9 (pow n 2))) (+ (* 0 (/ 4/3 n)) (* 0 1)))) into (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) 2.286 * [taylor]: Taking taylor expansion of (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) in n 2.286 * [taylor]: Taking taylor expansion of 68/81 in n 2.286 * [backup-simplify]: Simplify 68/81 into 68/81 2.286 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 3)) in n 2.286 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 2.286 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.286 * [taylor]: Taking taylor expansion of -1 in n 2.286 * [backup-simplify]: Simplify -1 into -1 2.286 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.287 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.287 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.287 * [taylor]: Taking taylor expansion of n in n 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify 1 into 1 2.288 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 2.288 * [backup-simplify]: Simplify (* 1 1) into 1 2.288 * [backup-simplify]: Simplify (* 1 1) into 1 2.289 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 2.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.291 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 2.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.294 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 2.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 2.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.296 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.298 * [backup-simplify]: Simplify (+ (* 68/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 2.299 * [backup-simplify]: Simplify (* (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) 2.299 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in (f n) around 0 2.299 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in n 2.300 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in n 2.300 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in n 2.300 * [taylor]: Taking taylor expansion of 1/3 in n 2.300 * [backup-simplify]: Simplify 1/3 into 1/3 2.300 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in n 2.300 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 2.300 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 2.300 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.300 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.300 * [taylor]: Taking taylor expansion of f in n 2.300 * [backup-simplify]: Simplify f into f 2.300 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.300 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.300 * [taylor]: Taking taylor expansion of n in n 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 1 into 1 2.300 * [backup-simplify]: Simplify (/ 1 1) into 1 2.300 * [backup-simplify]: Simplify (+ 0 1) into 1 2.300 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 2.300 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.300 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.300 * [taylor]: Taking taylor expansion of n in n 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 1 into 1 2.301 * [backup-simplify]: Simplify (/ 1 1) into 1 2.301 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.301 * [taylor]: Taking taylor expansion of f in n 2.301 * [backup-simplify]: Simplify f into f 2.301 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.301 * [backup-simplify]: Simplify (+ 1 0) into 1 2.301 * [backup-simplify]: Simplify (* 1 1) into 1 2.301 * [backup-simplify]: Simplify (* 1 1) into 1 2.302 * [backup-simplify]: Simplify (/ 1 1) into 1 2.302 * [backup-simplify]: Simplify (log 1) into 0 2.302 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.303 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 2.303 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 2.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.303 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 2.303 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 2.303 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 f))) (* (- (/ 1 f)) 1)) into (- (* 2 (/ 1 f))) 2.303 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f)) 2.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 2.304 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 2.304 * [backup-simplify]: Simplify (exp 0) into 1 2.304 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 2.304 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 2.304 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 2.304 * [taylor]: Taking taylor expansion of 1/3 in f 2.304 * [backup-simplify]: Simplify 1/3 into 1/3 2.304 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 2.304 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 2.304 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 2.304 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.304 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.304 * [taylor]: Taking taylor expansion of f in f 2.304 * [backup-simplify]: Simplify 0 into 0 2.304 * [backup-simplify]: Simplify 1 into 1 2.305 * [backup-simplify]: Simplify (/ 1 1) into 1 2.305 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.305 * [taylor]: Taking taylor expansion of n in f 2.305 * [backup-simplify]: Simplify n into n 2.305 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.305 * [backup-simplify]: Simplify (+ 1 0) into 1 2.305 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 2.305 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.305 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.305 * [taylor]: Taking taylor expansion of n in f 2.305 * [backup-simplify]: Simplify n into n 2.305 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.305 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.305 * [taylor]: Taking taylor expansion of f in f 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 1 into 1 2.305 * [backup-simplify]: Simplify (/ 1 1) into 1 2.306 * [backup-simplify]: Simplify (- 1) into -1 2.306 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.306 * [backup-simplify]: Simplify (* 1 1) into 1 2.306 * [backup-simplify]: Simplify (* -1 -1) into 1 2.306 * [backup-simplify]: Simplify (/ 1 1) into 1 2.307 * [backup-simplify]: Simplify (log 1) into 0 2.307 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.307 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.308 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 2.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.308 * [backup-simplify]: Simplify (- 0) into 0 2.308 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.308 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 2.308 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 2.309 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 2.309 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 2.309 * [backup-simplify]: Simplify (exp 0) into 1 2.309 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 2.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 2.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 2.309 * [taylor]: Taking taylor expansion of 1/3 in f 2.309 * [backup-simplify]: Simplify 1/3 into 1/3 2.309 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 2.309 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 2.309 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 2.309 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.309 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.309 * [taylor]: Taking taylor expansion of f in f 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify 1 into 1 2.310 * [backup-simplify]: Simplify (/ 1 1) into 1 2.310 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.310 * [taylor]: Taking taylor expansion of n in f 2.310 * [backup-simplify]: Simplify n into n 2.310 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.310 * [backup-simplify]: Simplify (+ 1 0) into 1 2.310 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 2.310 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.310 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.310 * [taylor]: Taking taylor expansion of n in f 2.310 * [backup-simplify]: Simplify n into n 2.310 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.310 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.310 * [taylor]: Taking taylor expansion of f in f 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify 1 into 1 2.310 * [backup-simplify]: Simplify (/ 1 1) into 1 2.311 * [backup-simplify]: Simplify (- 1) into -1 2.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.311 * [backup-simplify]: Simplify (* 1 1) into 1 2.311 * [backup-simplify]: Simplify (* -1 -1) into 1 2.311 * [backup-simplify]: Simplify (/ 1 1) into 1 2.312 * [backup-simplify]: Simplify (log 1) into 0 2.312 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.312 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.312 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 2.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.313 * [backup-simplify]: Simplify (- 0) into 0 2.313 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.313 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 2.313 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 2.314 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 2.314 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 2.314 * [backup-simplify]: Simplify (exp 0) into 1 2.314 * [taylor]: Taking taylor expansion of 1 in n 2.314 * [backup-simplify]: Simplify 1 into 1 2.314 * [backup-simplify]: Simplify 1 into 1 2.314 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 2.314 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 2.314 * [taylor]: Taking taylor expansion of 4/3 in n 2.314 * [backup-simplify]: Simplify 4/3 into 4/3 2.314 * [taylor]: Taking taylor expansion of n in n 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 1 into 1 2.315 * [backup-simplify]: Simplify (/ 4/3 1) into 4/3 2.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.316 * [backup-simplify]: Simplify (+ 0 0) into 0 2.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 2.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.317 * [backup-simplify]: Simplify (- 0) into 0 2.318 * [backup-simplify]: Simplify (+ 0 0) into 0 2.318 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 2.319 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 2.320 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 2.320 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 2.321 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 2.321 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 2.321 * [taylor]: Taking taylor expansion of 8/9 in n 2.321 * [backup-simplify]: Simplify 8/9 into 8/9 2.321 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.321 * [taylor]: Taking taylor expansion of n in n 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify 1 into 1 2.321 * [backup-simplify]: Simplify (* 1 1) into 1 2.321 * [backup-simplify]: Simplify (/ 8/9 1) into 8/9 2.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0 2.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.323 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.325 * [backup-simplify]: Simplify (+ 0 0) into 0 2.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 2.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.326 * [backup-simplify]: Simplify (- 0) into 0 2.326 * [backup-simplify]: Simplify (+ 0 0) into 0 2.327 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 2.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 2.332 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 2.333 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 2.334 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 2.334 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 2.334 * [taylor]: Taking taylor expansion of 68/81 in n 2.334 * [backup-simplify]: Simplify 68/81 into 68/81 2.334 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.334 * [taylor]: Taking taylor expansion of n in n 2.334 * [backup-simplify]: Simplify 0 into 0 2.334 * [backup-simplify]: Simplify 1 into 1 2.334 * [backup-simplify]: Simplify (* 1 1) into 1 2.334 * [backup-simplify]: Simplify (* 1 1) into 1 2.335 * [backup-simplify]: Simplify (/ 68/81 1) into 68/81 2.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0 2.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.339 * * * [progress]: simplifying candidates 2.349 * [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)) (- (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))) 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h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (cbrt (- (+ h1 h0))) (cbrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (cbrt (- (+ h1 h0))) (sqrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (cbrt (- (+ h1 h0))) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (cbrt (- (+ h1 h0))) (- (sqrt h1) (sqrt h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (cbrt (- (+ h1 h0))) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (sqrt (- (+ h1 h0))) (cbrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (sqrt (- (+ h1 h0))) (sqrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (sqrt (- (+ h1 h0))) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (sqrt (- (+ h1 h0))) (- (sqrt h1) (sqrt h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (sqrt (- (+ h1 h0))) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (+ h1 h0)) (cbrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (+ h1 h0)) (sqrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (+ h1 h0) (cbrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (+ h1 h0) (sqrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (+ h1 h0) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (+ h1 h0) (- (sqrt h1) (sqrt h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (+ h1 h0) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (cbrt (+ h1 h0)) (cbrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (cbrt (+ h1 h0)) (sqrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (cbrt (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (cbrt (+ h1 h0)) (- (sqrt h1) (sqrt h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (cbrt (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (sqrt (+ h1 h0)) (cbrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (sqrt (+ h1 h0)) (sqrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (sqrt (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (sqrt (+ h1 h0)) (- (sqrt h1) (sqrt h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (sqrt (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (+ h1 h0) (cbrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (+ h1 h0) (sqrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (+ h1 h0) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (+ h1 h0) (- (sqrt h1) (sqrt h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (+ h1 h0) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (+ h1 h0) (cbrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (+ h1 h0) (sqrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (+ h1 h0) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (+ h1 h0) (- (sqrt h1) (sqrt h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (+ h1 h0) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (cbrt (+ h1 h0))) (cbrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (cbrt (+ h1 h0))) (sqrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (cbrt (+ h1 h0))) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (cbrt (+ h1 h0))) (- (sqrt h1) (sqrt h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (cbrt (+ h1 h0))) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (sqrt (+ h1 h0))) (cbrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (sqrt (+ h1 h0))) (sqrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (sqrt (+ h1 h0))) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (sqrt (+ h1 h0))) (- (sqrt h1) (sqrt h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (sqrt (+ h1 h0))) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (+ h1 h0)) (cbrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (+ h1 h0)) (sqrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (+ h1 h0)) (cbrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (+ h1 h0)) (sqrt (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ 1 (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (+ (* h1 h1) (+ (* h0 h0) (* h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (+ h1 h0)) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (sqrt (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (cbrt (- (+ h1 h0)))) (* (cbrt (- (+ h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) 1 -1 -1 1 -1 -1 1 -1 -1 (pow (cbrt -1) 2) (pow (cbrt -1) 2) 1 2.370 * * [simplify]: iteration 0 : 641 enodes (cost 7670 ) 2.380 * * [simplify]: iteration 1 : 2364 enodes (cost 7572 ) 2.419 * * [simplify]: iteration 2 : 5001 enodes (cost 7059 ) 2.451 * * * [progress]: adding candidates to table 3.548 * * [progress]: iteration 4 / 4 3.548 * * * [progress]: picking best candidate 3.550 * * * * [pick]: Picked # 3.550 * * * [progress]: localizing error 3.562 * * * [progress]: generating rewritten candidates 3.562 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 3.600 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 3.608 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 3.647 * * * [progress]: generating series expansions 3.647 * * * * [progress]: [ 1 / 3 ] generating series at (2) 3.647 * [backup-simplify]: Simplify (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))) into (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) 3.647 * [approximate]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in (f n) around 0 3.647 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in n 3.647 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in n 3.647 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.647 * [taylor]: Taking taylor expansion of n in n 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 1 into 1 3.647 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.647 * [taylor]: Taking taylor expansion of f in n 3.647 * [backup-simplify]: Simplify f into f 3.647 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 3.647 * [taylor]: Taking taylor expansion of (- f n) in n 3.647 * [taylor]: Taking taylor expansion of f in n 3.648 * [backup-simplify]: Simplify f into f 3.648 * [taylor]: Taking taylor expansion of n in n 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify 1 into 1 3.648 * [backup-simplify]: Simplify (- 0) into 0 3.648 * [backup-simplify]: Simplify (+ f 0) into f 3.648 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.648 * [backup-simplify]: Simplify (- (pow f 2)) into (- (pow f 2)) 3.648 * [backup-simplify]: Simplify (+ 0 (- (pow f 2))) into (- (pow f 2)) 3.648 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.649 * [backup-simplify]: Simplify (/ (- (pow f 2)) (pow f 2)) into -1 3.649 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in f 3.649 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 3.649 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.649 * [taylor]: Taking taylor expansion of n in f 3.649 * [backup-simplify]: Simplify n into n 3.649 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.649 * [taylor]: Taking taylor expansion of f in f 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify 1 into 1 3.649 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 3.649 * [taylor]: Taking taylor expansion of (- f n) in f 3.649 * [taylor]: Taking taylor expansion of f in f 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify 1 into 1 3.649 * [taylor]: Taking taylor expansion of n in f 3.649 * [backup-simplify]: Simplify n into n 3.649 * [backup-simplify]: Simplify (- n) into (- n) 3.649 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.649 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.649 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 3.649 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 3.649 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 3.649 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in f 3.649 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 3.649 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.649 * [taylor]: Taking taylor expansion of n in f 3.649 * [backup-simplify]: Simplify n into n 3.649 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.649 * [taylor]: Taking taylor expansion of f in f 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify 1 into 1 3.649 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 3.649 * [taylor]: Taking taylor expansion of (- f n) in f 3.649 * [taylor]: Taking taylor expansion of f in f 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify 1 into 1 3.649 * [taylor]: Taking taylor expansion of n in f 3.649 * [backup-simplify]: Simplify n into n 3.649 * [backup-simplify]: Simplify (- n) into (- n) 3.649 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.649 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.650 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 3.650 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 3.650 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 3.650 * [taylor]: Taking taylor expansion of 1 in n 3.650 * [backup-simplify]: Simplify 1 into 1 3.650 * [backup-simplify]: Simplify 1 into 1 3.650 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.650 * [backup-simplify]: Simplify (+ 0 0) into 0 3.650 * [backup-simplify]: Simplify (- 0) into 0 3.651 * [backup-simplify]: Simplify (+ 1 0) into 1 3.651 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 3.651 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 n)) 3.651 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.651 * [taylor]: Taking taylor expansion of 2 in n 3.651 * [backup-simplify]: Simplify 2 into 2 3.651 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.651 * [taylor]: Taking taylor expansion of n in n 3.651 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify 1 into 1 3.651 * [backup-simplify]: Simplify (/ 1 1) into 1 3.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.652 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.652 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 3.653 * [backup-simplify]: Simplify (* 1 1) into 1 3.653 * [backup-simplify]: Simplify (- 1) into -1 3.653 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.653 * [backup-simplify]: Simplify (- 0) into 0 3.654 * [backup-simplify]: Simplify (+ 0 0) into 0 3.654 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 3.654 * [backup-simplify]: Simplify (- (/ -1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 2 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 (pow n 2))) 3.654 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.654 * [taylor]: Taking taylor expansion of 2 in n 3.654 * [backup-simplify]: Simplify 2 into 2 3.654 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.654 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.654 * [taylor]: Taking taylor expansion of n in n 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 1 into 1 3.655 * [backup-simplify]: Simplify (* 1 1) into 1 3.655 * [backup-simplify]: Simplify (/ 1 1) into 1 3.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.657 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.657 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.658 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 3.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.659 * [backup-simplify]: Simplify (- 0) into 0 3.659 * [backup-simplify]: Simplify (+ 0 0) into 0 3.660 * [backup-simplify]: Simplify (- 0) into 0 3.660 * [backup-simplify]: Simplify (+ 0 0) into 0 3.660 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 3.661 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 2 (/ 1 n)) (/ 1 (pow n 2))) (* (* 2 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 (pow n 3))) 3.661 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.661 * [taylor]: Taking taylor expansion of 2 in n 3.661 * [backup-simplify]: Simplify 2 into 2 3.661 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.661 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.661 * [taylor]: Taking taylor expansion of n in n 3.661 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify 1 into 1 3.661 * [backup-simplify]: Simplify (* 1 1) into 1 3.661 * [backup-simplify]: Simplify (* 1 1) into 1 3.662 * [backup-simplify]: Simplify (/ 1 1) into 1 3.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.666 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify 1 into 1 3.667 * [backup-simplify]: Simplify (/ (- (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n)))) (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) into (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) 3.667 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 3.667 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 3.667 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 3.667 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.667 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.667 * [taylor]: Taking taylor expansion of n in n 3.667 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify 1 into 1 3.667 * [backup-simplify]: Simplify (* 1 1) into 1 3.667 * [backup-simplify]: Simplify (/ 1 1) into 1 3.667 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 3.667 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.667 * [taylor]: Taking taylor expansion of f in n 3.667 * [backup-simplify]: Simplify f into f 3.667 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.668 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 3.668 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 3.668 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.668 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.668 * [taylor]: Taking taylor expansion of f in n 3.668 * [backup-simplify]: Simplify f into f 3.668 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.668 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.668 * [taylor]: Taking taylor expansion of n in n 3.668 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify 1 into 1 3.668 * [backup-simplify]: Simplify (/ 1 1) into 1 3.668 * [backup-simplify]: Simplify (- 1) into -1 3.668 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.669 * [backup-simplify]: Simplify (+ 1 0) into 1 3.669 * [backup-simplify]: Simplify (* -1 -1) into 1 3.669 * [backup-simplify]: Simplify (/ 1 1) into 1 3.669 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 3.669 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 3.669 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.669 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.669 * [taylor]: Taking taylor expansion of n in f 3.669 * [backup-simplify]: Simplify n into n 3.669 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.669 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.669 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.669 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.669 * [taylor]: Taking taylor expansion of f in f 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 1 into 1 3.670 * [backup-simplify]: Simplify (* 1 1) into 1 3.670 * [backup-simplify]: Simplify (/ 1 1) into 1 3.670 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 3.670 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.670 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.670 * [taylor]: Taking taylor expansion of f in f 3.670 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [backup-simplify]: Simplify (/ 1 1) into 1 3.670 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.670 * [taylor]: Taking taylor expansion of n in f 3.670 * [backup-simplify]: Simplify n into n 3.670 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.671 * [backup-simplify]: Simplify (+ 1 0) into 1 3.671 * [backup-simplify]: Simplify (- 1) into -1 3.671 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.671 * [backup-simplify]: Simplify (* 1 1) into 1 3.671 * [backup-simplify]: Simplify (/ -1 1) into -1 3.672 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 3.672 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 3.672 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.672 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.672 * [taylor]: Taking taylor expansion of n in f 3.672 * [backup-simplify]: Simplify n into n 3.672 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.672 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.672 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.672 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.672 * [taylor]: Taking taylor expansion of f in f 3.672 * [backup-simplify]: Simplify 0 into 0 3.672 * [backup-simplify]: Simplify 1 into 1 3.672 * [backup-simplify]: Simplify (* 1 1) into 1 3.672 * [backup-simplify]: Simplify (/ 1 1) into 1 3.672 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 3.672 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.672 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.672 * [taylor]: Taking taylor expansion of f in f 3.672 * [backup-simplify]: Simplify 0 into 0 3.672 * [backup-simplify]: Simplify 1 into 1 3.673 * [backup-simplify]: Simplify (/ 1 1) into 1 3.673 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.673 * [taylor]: Taking taylor expansion of n in f 3.673 * [backup-simplify]: Simplify n into n 3.673 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.673 * [backup-simplify]: Simplify (+ 1 0) into 1 3.673 * [backup-simplify]: Simplify (- 1) into -1 3.674 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.674 * [backup-simplify]: Simplify (* 1 1) into 1 3.674 * [backup-simplify]: Simplify (/ -1 1) into -1 3.674 * [taylor]: Taking taylor expansion of -1 in n 3.674 * [backup-simplify]: Simplify -1 into -1 3.674 * [backup-simplify]: Simplify -1 into -1 3.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.675 * [backup-simplify]: Simplify (- 0) into 0 3.675 * [backup-simplify]: Simplify (+ 0 0) into 0 3.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.676 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.676 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.676 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 3.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 3.676 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.676 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.676 * [taylor]: Taking taylor expansion of 2 in n 3.676 * [backup-simplify]: Simplify 2 into 2 3.676 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.676 * [taylor]: Taking taylor expansion of n in n 3.676 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify 1 into 1 3.677 * [backup-simplify]: Simplify (/ 1 1) into 1 3.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.678 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.678 * [backup-simplify]: Simplify (- 0) into 0 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.679 * [backup-simplify]: Simplify (- 0) into 0 3.679 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 3.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.680 * [backup-simplify]: Simplify (- 0) into 0 3.680 * [backup-simplify]: Simplify (+ 0 0) into 0 3.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 3.681 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* -1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.681 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.681 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.682 * [taylor]: Taking taylor expansion of 2 in n 3.682 * [backup-simplify]: Simplify 2 into 2 3.682 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.682 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.682 * [taylor]: Taking taylor expansion of n in n 3.682 * [backup-simplify]: Simplify 0 into 0 3.682 * [backup-simplify]: Simplify 1 into 1 3.682 * [backup-simplify]: Simplify (* 1 1) into 1 3.682 * [backup-simplify]: Simplify (/ 1 1) into 1 3.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.684 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.685 * [backup-simplify]: Simplify (- 0) into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.686 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.686 * [backup-simplify]: Simplify (- 0) into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 3.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.688 * [backup-simplify]: Simplify (- 0) into 0 3.688 * [backup-simplify]: Simplify (+ 0 0) into 0 3.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.689 * [backup-simplify]: Simplify (- 0) into 0 3.689 * [backup-simplify]: Simplify (+ 0 0) into 0 3.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 3.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.690 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.690 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.690 * [taylor]: Taking taylor expansion of 2 in n 3.690 * [backup-simplify]: Simplify 2 into 2 3.690 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.690 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.690 * [taylor]: Taking taylor expansion of n in n 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 1 into 1 3.691 * [backup-simplify]: Simplify (* 1 1) into 1 3.691 * [backup-simplify]: Simplify (* 1 1) into 1 3.691 * [backup-simplify]: Simplify (/ 1 1) into 1 3.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.700 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.700 * [backup-simplify]: Simplify (- 0) into 0 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify -1 into -1 3.700 * [backup-simplify]: Simplify (/ (- (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n))))) (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) 3.700 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0 3.700 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 3.700 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 3.700 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.700 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.700 * [taylor]: Taking taylor expansion of n in n 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify 1 into 1 3.701 * [backup-simplify]: Simplify (* 1 1) into 1 3.701 * [backup-simplify]: Simplify (/ 1 1) into 1 3.701 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 3.701 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.701 * [taylor]: Taking taylor expansion of f in n 3.701 * [backup-simplify]: Simplify f into f 3.701 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.701 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 3.701 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 3.701 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.701 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.701 * [taylor]: Taking taylor expansion of n in n 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify 1 into 1 3.701 * [backup-simplify]: Simplify (/ 1 1) into 1 3.701 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.702 * [taylor]: Taking taylor expansion of f in n 3.702 * [backup-simplify]: Simplify f into f 3.702 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.702 * [backup-simplify]: Simplify (+ 1 0) into 1 3.702 * [backup-simplify]: Simplify (+ 1 0) into 1 3.702 * [backup-simplify]: Simplify (* 1 1) into 1 3.702 * [backup-simplify]: Simplify (/ 1 1) into 1 3.703 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 3.703 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 3.703 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.703 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.703 * [taylor]: Taking taylor expansion of n in f 3.703 * [backup-simplify]: Simplify n into n 3.703 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.703 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.703 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.703 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.703 * [taylor]: Taking taylor expansion of f in f 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify 1 into 1 3.703 * [backup-simplify]: Simplify (* 1 1) into 1 3.703 * [backup-simplify]: Simplify (/ 1 1) into 1 3.703 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 3.703 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.703 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.703 * [taylor]: Taking taylor expansion of n in f 3.703 * [backup-simplify]: Simplify n into n 3.703 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.703 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.703 * [taylor]: Taking taylor expansion of f in f 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify 1 into 1 3.704 * [backup-simplify]: Simplify (/ 1 1) into 1 3.704 * [backup-simplify]: Simplify (- 1) into -1 3.704 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.704 * [backup-simplify]: Simplify (- 1) into -1 3.705 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.705 * [backup-simplify]: Simplify (* -1 -1) into 1 3.705 * [backup-simplify]: Simplify (/ -1 1) into -1 3.705 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 3.705 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 3.705 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.705 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.705 * [taylor]: Taking taylor expansion of n in f 3.705 * [backup-simplify]: Simplify n into n 3.705 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.705 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.705 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.705 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.705 * [taylor]: Taking taylor expansion of f in f 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 1 into 1 3.706 * [backup-simplify]: Simplify (* 1 1) into 1 3.706 * [backup-simplify]: Simplify (/ 1 1) into 1 3.706 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 3.706 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.706 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.706 * [taylor]: Taking taylor expansion of n in f 3.706 * [backup-simplify]: Simplify n into n 3.706 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.706 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.706 * [taylor]: Taking taylor expansion of f in f 3.706 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify 1 into 1 3.706 * [backup-simplify]: Simplify (/ 1 1) into 1 3.706 * [backup-simplify]: Simplify (- 1) into -1 3.707 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.707 * [backup-simplify]: Simplify (- 1) into -1 3.707 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.707 * [backup-simplify]: Simplify (* -1 -1) into 1 3.708 * [backup-simplify]: Simplify (/ -1 1) into -1 3.708 * [taylor]: Taking taylor expansion of -1 in n 3.708 * [backup-simplify]: Simplify -1 into -1 3.708 * [backup-simplify]: Simplify -1 into -1 3.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.709 * [backup-simplify]: Simplify (- 0) into 0 3.709 * [backup-simplify]: Simplify (+ 0 0) into 0 3.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.710 * [backup-simplify]: Simplify (- 0) into 0 3.710 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.710 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 3.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 3.710 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.710 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.710 * [taylor]: Taking taylor expansion of 2 in n 3.710 * [backup-simplify]: Simplify 2 into 2 3.710 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.710 * [taylor]: Taking taylor expansion of n in n 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 1 into 1 3.710 * [backup-simplify]: Simplify (/ 1 1) into 1 3.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.711 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.711 * [backup-simplify]: Simplify (- 0) into 0 3.711 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.713 * [backup-simplify]: Simplify (- 0) into 0 3.713 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 3.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.714 * [backup-simplify]: Simplify (- 0) into 0 3.714 * [backup-simplify]: Simplify (+ 0 0) into 0 3.714 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 3.715 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* -1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.715 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.715 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.715 * [taylor]: Taking taylor expansion of 2 in n 3.715 * [backup-simplify]: Simplify 2 into 2 3.715 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.715 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.715 * [taylor]: Taking taylor expansion of n in n 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify 1 into 1 3.715 * [backup-simplify]: Simplify (* 1 1) into 1 3.715 * [backup-simplify]: Simplify (/ 1 1) into 1 3.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.718 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.718 * [backup-simplify]: Simplify (- 0) into 0 3.718 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.719 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.719 * [backup-simplify]: Simplify (- 0) into 0 3.719 * [backup-simplify]: Simplify 0 into 0 3.719 * [backup-simplify]: Simplify 0 into 0 3.719 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 3.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.721 * [backup-simplify]: Simplify (- 0) into 0 3.721 * [backup-simplify]: Simplify (+ 0 0) into 0 3.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.722 * [backup-simplify]: Simplify (- 0) into 0 3.722 * [backup-simplify]: Simplify (+ 0 0) into 0 3.722 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 3.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.723 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.723 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.723 * [taylor]: Taking taylor expansion of 2 in n 3.723 * [backup-simplify]: Simplify 2 into 2 3.723 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.723 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.723 * [taylor]: Taking taylor expansion of n in n 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.724 * [backup-simplify]: Simplify (* 1 1) into 1 3.724 * [backup-simplify]: Simplify (* 1 1) into 1 3.724 * [backup-simplify]: Simplify (/ 1 1) into 1 3.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.729 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.729 * [backup-simplify]: Simplify (- 0) into 0 3.729 * [backup-simplify]: Simplify 0 into 0 3.729 * [backup-simplify]: Simplify -1 into -1 3.729 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 3.729 * [backup-simplify]: Simplify (- (* f f) (* n n)) into (- (pow f 2) (pow n 2)) 3.730 * [approximate]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in (f n) around 0 3.730 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in n 3.730 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.730 * [taylor]: Taking taylor expansion of f in n 3.730 * [backup-simplify]: Simplify f into f 3.730 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.730 * [taylor]: Taking taylor expansion of n in n 3.730 * [backup-simplify]: Simplify 0 into 0 3.730 * [backup-simplify]: Simplify 1 into 1 3.730 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 3.730 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.730 * [taylor]: Taking taylor expansion of f in f 3.730 * [backup-simplify]: Simplify 0 into 0 3.730 * [backup-simplify]: Simplify 1 into 1 3.730 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.730 * [taylor]: Taking taylor expansion of n in f 3.730 * [backup-simplify]: Simplify n into n 3.730 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 3.730 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.730 * [taylor]: Taking taylor expansion of f in f 3.730 * [backup-simplify]: Simplify 0 into 0 3.730 * [backup-simplify]: Simplify 1 into 1 3.730 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.730 * [taylor]: Taking taylor expansion of n in f 3.730 * [backup-simplify]: Simplify n into n 3.730 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.730 * [backup-simplify]: Simplify (- (pow n 2)) into (- (pow n 2)) 3.730 * [backup-simplify]: Simplify (+ 0 (- (pow n 2))) into (- (pow n 2)) 3.730 * [taylor]: Taking taylor expansion of (- (pow n 2)) in n 3.730 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.730 * [taylor]: Taking taylor expansion of n in n 3.730 * [backup-simplify]: Simplify 0 into 0 3.730 * [backup-simplify]: Simplify 1 into 1 3.730 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.731 * [backup-simplify]: Simplify (- 0) into 0 3.731 * [backup-simplify]: Simplify (+ 0 0) into 0 3.731 * [taylor]: Taking taylor expansion of 0 in n 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify (* 1 1) into 1 3.731 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 3.732 * [backup-simplify]: Simplify (- 0) into 0 3.732 * [backup-simplify]: Simplify (+ 1 0) into 1 3.732 * [taylor]: Taking taylor expansion of 1 in n 3.732 * [backup-simplify]: Simplify 1 into 1 3.732 * [backup-simplify]: Simplify 1 into 1 3.732 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify (* 1 1) into 1 3.733 * [backup-simplify]: Simplify (- 1) into -1 3.733 * [backup-simplify]: Simplify -1 into -1 3.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.734 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 3.734 * [backup-simplify]: Simplify (- 0) into 0 3.734 * [backup-simplify]: Simplify (+ 0 0) into 0 3.734 * [taylor]: Taking taylor expansion of 0 in n 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.735 * [backup-simplify]: Simplify (- 0) into 0 3.735 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.736 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 3.736 * [backup-simplify]: Simplify (- 0) into 0 3.736 * [backup-simplify]: Simplify (+ 0 0) into 0 3.736 * [taylor]: Taking taylor expansion of 0 in n 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 0 into 0 3.737 * [backup-simplify]: Simplify (+ (* -1 (pow (* n 1) 2)) (* 1 (pow (* 1 f) 2))) into (- (pow f 2) (pow n 2)) 3.737 * [backup-simplify]: Simplify (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 3.737 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 3.737 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 3.737 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 3.737 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.737 * [taylor]: Taking taylor expansion of f in n 3.737 * [backup-simplify]: Simplify f into f 3.737 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.737 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 3.737 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.737 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.737 * [taylor]: Taking taylor expansion of n in n 3.737 * [backup-simplify]: Simplify 0 into 0 3.737 * [backup-simplify]: Simplify 1 into 1 3.738 * [backup-simplify]: Simplify (* 1 1) into 1 3.738 * [backup-simplify]: Simplify (/ 1 1) into 1 3.738 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.738 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.738 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.738 * [taylor]: Taking taylor expansion of f in f 3.738 * [backup-simplify]: Simplify 0 into 0 3.738 * [backup-simplify]: Simplify 1 into 1 3.738 * [backup-simplify]: Simplify (* 1 1) into 1 3.738 * [backup-simplify]: Simplify (/ 1 1) into 1 3.738 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.738 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.738 * [taylor]: Taking taylor expansion of n in f 3.739 * [backup-simplify]: Simplify n into n 3.739 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.739 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.739 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.739 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.739 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.739 * [taylor]: Taking taylor expansion of f in f 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [backup-simplify]: Simplify (* 1 1) into 1 3.739 * [backup-simplify]: Simplify (/ 1 1) into 1 3.739 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.739 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.739 * [taylor]: Taking taylor expansion of n in f 3.739 * [backup-simplify]: Simplify n into n 3.739 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.739 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.740 * [backup-simplify]: Simplify (+ 1 0) into 1 3.740 * [taylor]: Taking taylor expansion of 1 in n 3.740 * [backup-simplify]: Simplify 1 into 1 3.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.741 * [backup-simplify]: Simplify (+ 0 0) into 0 3.741 * [taylor]: Taking taylor expansion of 0 in n 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.742 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 3.742 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 3.742 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 3.742 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.742 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.742 * [taylor]: Taking taylor expansion of n in n 3.742 * [backup-simplify]: Simplify 0 into 0 3.742 * [backup-simplify]: Simplify 1 into 1 3.742 * [backup-simplify]: Simplify (* 1 1) into 1 3.743 * [backup-simplify]: Simplify (/ 1 1) into 1 3.743 * [backup-simplify]: Simplify (- 1) into -1 3.743 * [backup-simplify]: Simplify -1 into -1 3.743 * [backup-simplify]: Simplify 1 into 1 3.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.744 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 3.744 * [backup-simplify]: Simplify (- 0) into 0 3.745 * [backup-simplify]: Simplify (+ 0 0) into 0 3.745 * [taylor]: Taking taylor expansion of 0 in n 3.745 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.746 * [backup-simplify]: Simplify (- 0) into 0 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.747 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 3.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 3.748 * [backup-simplify]: Simplify (- 0) into 0 3.748 * [backup-simplify]: Simplify (+ 0 0) into 0 3.748 * [taylor]: Taking taylor expansion of 0 in n 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.749 * [backup-simplify]: Simplify (- 0) into 0 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 f))) 2)) (* -1 (pow (* (/ 1 (/ 1 n)) 1) 2))) into (- (pow f 2) (pow n 2)) 3.750 * [backup-simplify]: Simplify (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n)))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 3.750 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 3.750 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 3.750 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 3.750 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.750 * [taylor]: Taking taylor expansion of f in n 3.750 * [backup-simplify]: Simplify f into f 3.750 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.750 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 3.750 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.750 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.750 * [taylor]: Taking taylor expansion of n in n 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 1 into 1 3.750 * [backup-simplify]: Simplify (* 1 1) into 1 3.750 * [backup-simplify]: Simplify (/ 1 1) into 1 3.750 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.750 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.750 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.750 * [taylor]: Taking taylor expansion of f in f 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 1 into 1 3.751 * [backup-simplify]: Simplify (* 1 1) into 1 3.751 * [backup-simplify]: Simplify (/ 1 1) into 1 3.751 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.751 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.751 * [taylor]: Taking taylor expansion of n in f 3.751 * [backup-simplify]: Simplify n into n 3.751 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.751 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.751 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.751 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.751 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.751 * [taylor]: Taking taylor expansion of f in f 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [backup-simplify]: Simplify (* 1 1) into 1 3.752 * [backup-simplify]: Simplify (/ 1 1) into 1 3.752 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.752 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.752 * [taylor]: Taking taylor expansion of n in f 3.752 * [backup-simplify]: Simplify n into n 3.752 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.752 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.752 * [backup-simplify]: Simplify (+ 1 0) into 1 3.752 * [taylor]: Taking taylor expansion of 1 in n 3.752 * [backup-simplify]: Simplify 1 into 1 3.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.753 * [backup-simplify]: Simplify (+ 0 0) into 0 3.753 * [taylor]: Taking taylor expansion of 0 in n 3.753 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.754 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 3.754 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 3.754 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 3.754 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.754 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.754 * [taylor]: Taking taylor expansion of n in n 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 1 into 1 3.755 * [backup-simplify]: Simplify (* 1 1) into 1 3.755 * [backup-simplify]: Simplify (/ 1 1) into 1 3.755 * [backup-simplify]: Simplify (- 1) into -1 3.755 * [backup-simplify]: Simplify -1 into -1 3.755 * [backup-simplify]: Simplify 1 into 1 3.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.756 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 3.757 * [backup-simplify]: Simplify (- 0) into 0 3.757 * [backup-simplify]: Simplify (+ 0 0) into 0 3.757 * [taylor]: Taking taylor expansion of 0 in n 3.757 * [backup-simplify]: Simplify 0 into 0 3.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.758 * [backup-simplify]: Simplify (- 0) into 0 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 0 into 0 3.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.759 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 3.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 3.760 * [backup-simplify]: Simplify (- 0) into 0 3.760 * [backup-simplify]: Simplify (+ 0 0) into 0 3.760 * [taylor]: Taking taylor expansion of 0 in n 3.760 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.761 * [backup-simplify]: Simplify (- 0) into 0 3.761 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- f)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- n))) 1) 2))) into (- (pow f 2) (pow n 2)) 3.762 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 3.762 * [backup-simplify]: Simplify (* (- f n) (- f n)) into (pow (- f n) 2) 3.762 * [approximate]: Taking taylor expansion of (pow (- f n) 2) in (f n) around 0 3.762 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 3.762 * [taylor]: Taking taylor expansion of (- f n) in n 3.762 * [taylor]: Taking taylor expansion of f in n 3.762 * [backup-simplify]: Simplify f into f 3.762 * [taylor]: Taking taylor expansion of n in n 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 1 into 1 3.762 * [backup-simplify]: Simplify (- 0) into 0 3.762 * [backup-simplify]: Simplify (+ f 0) into f 3.762 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 3.762 * [taylor]: Taking taylor expansion of (- f n) in f 3.762 * [taylor]: Taking taylor expansion of f in f 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 1 into 1 3.762 * [taylor]: Taking taylor expansion of n in f 3.762 * [backup-simplify]: Simplify n into n 3.762 * [backup-simplify]: Simplify (- n) into (- n) 3.762 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.762 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 3.762 * [taylor]: Taking taylor expansion of (- f n) in f 3.762 * [taylor]: Taking taylor expansion of f in f 3.762 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 1 into 1 3.763 * [taylor]: Taking taylor expansion of n in f 3.763 * [backup-simplify]: Simplify n into n 3.763 * [backup-simplify]: Simplify (- n) into (- n) 3.763 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.763 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 3.763 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.763 * [taylor]: Taking taylor expansion of n in n 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 1 into 1 3.763 * [backup-simplify]: Simplify (- 0) into 0 3.763 * [backup-simplify]: Simplify (+ 1 0) into 1 3.763 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 3.763 * [taylor]: Taking taylor expansion of (- (* 2 n)) in n 3.763 * [taylor]: Taking taylor expansion of (* 2 n) in n 3.763 * [taylor]: Taking taylor expansion of 2 in n 3.763 * [backup-simplify]: Simplify 2 into 2 3.763 * [taylor]: Taking taylor expansion of n in n 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 1 into 1 3.764 * [backup-simplify]: Simplify (* 2 0) into 0 3.764 * [backup-simplify]: Simplify (- 0) into 0 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify (- 0) into 0 3.764 * [backup-simplify]: Simplify (+ 0 0) into 0 3.765 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 3.765 * [taylor]: Taking taylor expansion of 1 in n 3.765 * [backup-simplify]: Simplify 1 into 1 3.765 * [backup-simplify]: Simplify 1 into 1 3.765 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.765 * [backup-simplify]: Simplify (- 2) into -2 3.765 * [backup-simplify]: Simplify -2 into -2 3.766 * [backup-simplify]: Simplify (* 1 1) into 1 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [backup-simplify]: Simplify (+ (* 1 (pow (* n 1) 2)) (+ (* -2 (* n f)) (* 1 (pow (* 1 f) 2)))) into (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 3.766 * [backup-simplify]: Simplify (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) into (pow (- (/ 1 f) (/ 1 n)) 2) 3.766 * [approximate]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in (f n) around 0 3.766 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 3.766 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.766 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.766 * [taylor]: Taking taylor expansion of f in n 3.766 * [backup-simplify]: Simplify f into f 3.766 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.766 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.766 * [taylor]: Taking taylor expansion of n in n 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [backup-simplify]: Simplify (/ 1 1) into 1 3.767 * [backup-simplify]: Simplify (- 1) into -1 3.767 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.767 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 3.767 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.767 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.767 * [taylor]: Taking taylor expansion of f in f 3.767 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify 1 into 1 3.767 * [backup-simplify]: Simplify (/ 1 1) into 1 3.767 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.767 * [taylor]: Taking taylor expansion of n in f 3.767 * [backup-simplify]: Simplify n into n 3.767 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.768 * [backup-simplify]: Simplify (+ 1 0) into 1 3.768 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 3.768 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.768 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.768 * [taylor]: Taking taylor expansion of f in f 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 1 into 1 3.768 * [backup-simplify]: Simplify (/ 1 1) into 1 3.768 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.768 * [taylor]: Taking taylor expansion of n in f 3.768 * [backup-simplify]: Simplify n into n 3.768 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.768 * [backup-simplify]: Simplify (+ 1 0) into 1 3.769 * [backup-simplify]: Simplify (* 1 1) into 1 3.769 * [taylor]: Taking taylor expansion of 1 in n 3.769 * [backup-simplify]: Simplify 1 into 1 3.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.769 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.769 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.769 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 3.769 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.769 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.769 * [taylor]: Taking taylor expansion of 2 in n 3.769 * [backup-simplify]: Simplify 2 into 2 3.769 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.769 * [taylor]: Taking taylor expansion of n in n 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 1 into 1 3.770 * [backup-simplify]: Simplify (/ 1 1) into 1 3.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.770 * [backup-simplify]: Simplify (- 0) into 0 3.771 * [backup-simplify]: Simplify (+ 0 0) into 0 3.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 3.771 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.771 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.771 * [taylor]: Taking taylor expansion of n in n 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 1 into 1 3.771 * [backup-simplify]: Simplify (* 1 1) into 1 3.772 * [backup-simplify]: Simplify (/ 1 1) into 1 3.772 * [backup-simplify]: Simplify 1 into 1 3.772 * [backup-simplify]: Simplify (* 2 1) into 2 3.772 * [backup-simplify]: Simplify (- 2) into -2 3.772 * [backup-simplify]: Simplify -2 into -2 3.772 * [backup-simplify]: Simplify 1 into 1 3.773 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 f))) 2)) (+ (* -2 (* (/ 1 (/ 1 n)) (/ 1 (/ 1 f)))) (* 1 (pow (* (/ 1 (/ 1 n)) 1) 2)))) into (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 3.773 * [backup-simplify]: Simplify (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) into (pow (- (/ 1 n) (/ 1 f)) 2) 3.773 * [approximate]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in (f n) around 0 3.773 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 3.773 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.773 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.773 * [taylor]: Taking taylor expansion of n in n 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify 1 into 1 3.773 * [backup-simplify]: Simplify (/ 1 1) into 1 3.773 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.773 * [taylor]: Taking taylor expansion of f in n 3.773 * [backup-simplify]: Simplify f into f 3.773 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.773 * [backup-simplify]: Simplify (+ 1 0) into 1 3.773 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 3.774 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.774 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.774 * [taylor]: Taking taylor expansion of n in f 3.774 * [backup-simplify]: Simplify n into n 3.774 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.774 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.774 * [taylor]: Taking taylor expansion of f in f 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify 1 into 1 3.774 * [backup-simplify]: Simplify (/ 1 1) into 1 3.774 * [backup-simplify]: Simplify (- 1) into -1 3.774 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.774 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 3.774 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.774 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.774 * [taylor]: Taking taylor expansion of n in f 3.774 * [backup-simplify]: Simplify n into n 3.774 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.774 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.774 * [taylor]: Taking taylor expansion of f in f 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify 1 into 1 3.775 * [backup-simplify]: Simplify (/ 1 1) into 1 3.775 * [backup-simplify]: Simplify (- 1) into -1 3.775 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.775 * [backup-simplify]: Simplify (* -1 -1) into 1 3.775 * [taylor]: Taking taylor expansion of 1 in n 3.775 * [backup-simplify]: Simplify 1 into 1 3.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.776 * [backup-simplify]: Simplify (- 0) into 0 3.776 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.776 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 3.776 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.776 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.776 * [taylor]: Taking taylor expansion of 2 in n 3.776 * [backup-simplify]: Simplify 2 into 2 3.776 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.776 * [taylor]: Taking taylor expansion of n in n 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify 1 into 1 3.777 * [backup-simplify]: Simplify (/ 1 1) into 1 3.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (- 0) into 0 3.778 * [backup-simplify]: Simplify (+ 0 0) into 0 3.778 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 3.778 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.778 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.778 * [taylor]: Taking taylor expansion of n in n 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify 1 into 1 3.779 * [backup-simplify]: Simplify (* 1 1) into 1 3.779 * [backup-simplify]: Simplify (/ 1 1) into 1 3.779 * [backup-simplify]: Simplify 1 into 1 3.779 * [backup-simplify]: Simplify (* 2 1) into 2 3.779 * [backup-simplify]: Simplify (- 2) into -2 3.779 * [backup-simplify]: Simplify -2 into -2 3.779 * [backup-simplify]: Simplify 1 into 1 3.780 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- f)))) 2)) (+ (* -2 (* (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- f))))) (* 1 (pow (* (/ 1 (/ 1 (- n))) 1) 2)))) into (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 3.780 * * * [progress]: simplifying candidates 3.782 * [simplify]: Simplifying: (- (log (- (- (* f f) (* n n)))) (+ (log (- f n)) (log (- f n)))) (- (log (- (- (* f f) (* n n)))) (log (* (- f n) (- f n)))) (log (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (exp (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (/ (* (* (- (- (* f f) (* n n))) (- (- (* f f) (* n n)))) (- (- (* f f) (* n n)))) (* (* (* (- f n) (- f n)) (- f n)) (* (* (- f n) (- f n)) (- f n)))) (/ (* (* (- (- (* f f) (* n n))) (- (- (* f f) (* n n)))) (- (- (* f f) (* n n)))) (* (* (* (- f n) (- f n)) (* (- f n) (- f n))) (* (- f n) (- f n)))) (* (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))))) (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (* (* (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))) (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (sqrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (sqrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (- (- (- (* f f) (* n n)))) (- (* (- f n) (- f n))) (/ 0 (* (- f n) (- f n))) (/ (- (* f f) (* n n)) (* (- f n) (- f n))) (/ (* (cbrt (- (- (* f f) (* n n)))) (cbrt (- (- (* f f) (* n n))))) (- f n)) (/ (cbrt (- (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (- (* f f) (* n n)))) (- f n)) (/ 1 (- f n)) (/ (- (- (* f f) (* n n))) (- f n)) (/ -1 (- f n)) (/ (- (* f f) (* n n)) (- f n)) (/ (- (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) (- f n)) (/ (cbrt (- (* f f) (* n n))) (- f n)) (/ (- (sqrt (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (* f f) (* n n))) (- f n)) (/ (- 1) (- f n)) (/ (- (* f f) (* n n)) (- f n)) (/ (- (+ f n)) (- f n)) (/ (- f n) (- f n)) (/ (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (- f n)) (/ (- (cbrt (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (* f f) (* n n))) (- f n)) (/ (- (sqrt (- (* f f) (* n n)))) (- f n)) (/ 1 (- f n)) (/ (- (- (* f f) (* n n))) (- f n)) (/ (+ f n) (- f n)) (/ (- (- f n)) (- f n)) (/ 1 (* (- f n) (- f n))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (- (* f f) (* n n)) (* (- f n) (- f n))) (/ (- (- (* f f) (* n n))) (- f n)) (/ (* (- f n) (- f n)) (cbrt (- (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (sqrt (- (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (* f f) (* n n))) (/ (* (- f n) (- f n)) (cbrt (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (sqrt (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (* f f) (* n n))) (/ (* (- f n) (- f n)) (- f n)) (/ (* (- f n) (- f n)) (- (cbrt (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (sqrt (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (- f n))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- f n))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- f n))) (* (* (- f n) (- f n)) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n))))) (* (* (- f n) (- f n)) (+ (* f f) (* n n))) (/ (exp (* f f)) (exp (* n n))) (log (- (* f f) (* n n))) (exp (- (* f f) (* n n))) (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (cbrt (- (* f f) (* n n))) (* (* (- (* f f) (* n n)) (- (* f f) (* n n))) (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (- (pow (* f f) 3) (pow (* n n) 3)) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n)))) (- (* n n)) (- (* (* f f) (* f f)) (* (* n n) (* n n))) (+ (* f f) (* n n)) (+ f n) (- f n) (- (* n n)) (+ 1 1) (* (- f n) (- f n)) (+ 1 1) (+ (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))) (* (- (pow f 3) (pow n 3)) (- (pow f 3) (pow n 3))) (* (+ (* f f) (+ (* n n) (* f n))) (+ (* f f) (+ (* n n) (* f n)))) (* (- (pow f 3) (pow n 3)) (- (* f f) (* n n))) (* (+ (* f f) (+ (* n n) (* f n))) (+ f n)) (* (- (* f f) (* n n)) (- (pow f 3) (pow n 3))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (- (* f f) (* n n)) (- (* f f) (* n n))) (* (+ f n) (+ f n)) (* (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (- f n))) (* (sqrt (- f n)) (sqrt (- f n))) (* (sqrt (- f n)) (sqrt (- f n))) (* 1 1) (* (- f n) (- f n)) (* 1 1) (* (- f n) (- f n)) (* (+ (sqrt f) (sqrt n)) (+ (sqrt f) (sqrt n))) (* (- (sqrt f) (sqrt n)) (- (sqrt f) (sqrt n))) (* 1 1) (* (- f n) (- f n)) (* 1 1) (* (- f n) (- f n)) (* (sqrt (- f n)) (sqrt (- f n))) (* (sqrt (- f n)) (sqrt (- f n))) (* 2 1) (* (- f n) f) (* (- f n) (- n)) (* (- f n) f) (* (- f n) (- n)) (* f (- f n)) (* (- n) (- f n)) (* f (- f n)) (* (- 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) (* (cbrt (- f n)) (- f n)) (* (sqrt (- f n)) (- 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))) (* (- (pow f 3) (pow n 3)) (- f n)) (* (- (* f f) (* n n)) (- f n)) 1 -1 -1 (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 3.782 * [simplify]: Sending expressions to egg_math: (- (log (- (- (* h1 h1) (* h0 h0)))) (+ (log (- h1 h0)) (log (- h1 h0)))) (- (log (- (- (* h1 h1) (* h0 h0)))) (log (* (- h1 h0) (- h1 h0)))) (log (/ (- (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- h1 h0)))) (exp (/ (- (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- h1 h0)))) (/ (* (* (- (- (* h1 h1) (* h0 h0))) (- (- (* h1 h1) (* h0 h0)))) (- (- (* h1 h1) (* h0 h0)))) (* (* (* (- h1 h0) (- h1 h0)) (- h1 h0)) (* (* (- h1 h0) (- h1 h0)) (- h1 h0)))) (/ (* (* (- (- (* h1 h1) (* h0 h0))) (- (- (* h1 h1) (* h0 h0)))) (- (- (* h1 h1) (* h0 h0)))) (* (* (* (- h1 h0) (- h1 h0)) (* (- h1 h0) (- h1 h0))) (* (- h1 h0) (- h1 h0)))) (* (cbrt (/ (- (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- h1 h0)))) (cbrt (/ (- (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- h1 h0))))) (cbrt (/ (- (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- h1 h0)))) (* (* (/ (- (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- h1 h0))) (/ (- (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- h1 h0)))) (/ (- (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- h1 h0)))) (sqrt (/ (- (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- h1 h0)))) (sqrt (/ (- (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- h1 h0)))) (- (- (- (* h1 h1) (* h0 h0)))) (- (* (- h1 h0) (- h1 h0))) (/ 0 (* (- h1 h0) (- h1 h0))) (/ (- (* h1 h1) (* h0 h0)) (* (- h1 h0) (- h1 h0))) (/ (* (cbrt (- (- (* h1 h1) (* h0 h0)))) (cbrt (- (- (* h1 h1) (* h0 h0))))) (- h1 h0)) (/ (cbrt (- (- (* h1 h1) (* h0 h0)))) (- h1 h0)) (/ (sqrt (- (- (* h1 h1) (* h0 h0)))) (- h1 h0)) (/ (sqrt (- (- (* h1 h1) (* h0 h0)))) (- h1 h0)) (/ 1 (- h1 h0)) (/ (- (- (* h1 h1) (* h0 h0))) (- h1 h0)) (/ -1 (- h1 h0)) (/ (- (* h1 h1) (* h0 h0)) (- h1 h0)) (/ (- (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0))))) (- h1 h0)) (/ (cbrt (- (* h1 h1) (* h0 h0))) (- h1 h0)) (/ (- (sqrt (- (* h1 h1) (* h0 h0)))) (- h1 h0)) (/ (sqrt (- (* h1 h1) (* h0 h0))) (- h1 h0)) (/ (- 1) (- h1 h0)) (/ (- (* h1 h1) (* h0 h0)) (- h1 h0)) (/ (- (+ h1 h0)) (- h1 h0)) (/ (- h1 h0) (- h1 h0)) (/ (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (- h1 h0)) (/ (- (cbrt (- (* h1 h1) (* h0 h0)))) (- h1 h0)) (/ (sqrt (- (* h1 h1) (* h0 h0))) (- h1 h0)) (/ (- (sqrt (- (* h1 h1) (* h0 h0)))) (- h1 h0)) (/ 1 (- h1 h0)) (/ (- (- (* h1 h1) (* h0 h0))) (- h1 h0)) (/ (+ h1 h0) (- h1 h0)) (/ (- (- h1 h0)) (- h1 h0)) (/ 1 (* (- h1 h0) (- h1 h0))) (/ (* (- h1 h0) (- h1 h0)) (- (- (* h1 h1) (* h0 h0)))) (/ (- (* h1 h1) (* h0 h0)) (* (- h1 h0) (- h1 h0))) (/ (- (- (* h1 h1) (* h0 h0))) (- h1 h0)) (/ (* (- h1 h0) (- h1 h0)) (cbrt (- (- (* h1 h1) (* h0 h0))))) (/ (* (- h1 h0) (- h1 h0)) (sqrt (- (- (* h1 h1) (* h0 h0))))) (/ (* (- h1 h0) (- h1 h0)) (- (- (* h1 h1) (* h0 h0)))) (/ (* (- h1 h0) (- h1 h0)) (- (* h1 h1) (* h0 h0))) (/ (* (- h1 h0) (- h1 h0)) (cbrt (- (* h1 h1) (* h0 h0)))) (/ (* (- h1 h0) (- h1 h0)) (sqrt (- (* h1 h1) (* h0 h0)))) (/ (* (- h1 h0) (- h1 h0)) (- (* h1 h1) (* h0 h0))) (/ (* (- h1 h0) (- h1 h0)) (- h1 h0)) (/ (* (- h1 h0) (- h1 h0)) (- (cbrt (- (* h1 h1) (* h0 h0))))) (/ (* (- h1 h0) (- h1 h0)) (- (sqrt (- (* h1 h1) (* h0 h0))))) (/ (* (- h1 h0) (- h1 h0)) (- (- (* h1 h1) (* h0 h0)))) (/ (* (- h1 h0) (- h1 h0)) (- (- h1 h0))) (/ (- (- (* h1 h1) (* h0 h0))) (* (- (pow h1 3) (pow h0 3)) (- (pow h1 3) (pow h0 3)))) (/ (- (- (* h1 h1) (* h0 h0))) (* (- (pow h1 3) (pow h0 3)) (- (* h1 h1) (* h0 h0)))) (/ (- (- (* h1 h1) (* h0 h0))) (* (- (* h1 h1) (* h0 h0)) (- (pow h1 3) (pow h0 3)))) (/ (- (- (* h1 h1) (* h0 h0))) (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0)))) (/ (- (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- (pow h1 3) (pow h0 3)))) (/ (- (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- (* h1 h1) (* h0 h0)))) (/ (- (- (* h1 h1) (* h0 h0))) (* (- (pow h1 3) (pow h0 3)) (- h1 h0))) (/ (- (- (* h1 h1) (* h0 h0))) (* (- (* h1 h1) (* h0 h0)) (- h1 h0))) (* (* (- h1 h0) (- h1 h0)) (+ (* (* h1 h1) (* h1 h1)) (+ (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (* (* (- h1 h0) (- h1 h0)) (+ (* h1 h1) (* h0 h0))) (/ (exp (* h1 h1)) (exp (* h0 h0))) (log (- (* h1 h1) (* h0 h0))) (exp (- (* h1 h1) (* h0 h0))) (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (cbrt (- (* h1 h1) (* h0 h0))) (* (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0))) (- (* h1 h1) (* h0 h0))) (sqrt (- (* h1 h1) (* h0 h0))) (sqrt (- (* h1 h1) (* h0 h0))) (- (pow (* h1 h1) 3) (pow (* h0 h0) 3)) (+ (* (* h1 h1) (* h1 h1)) (+ (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))) (- (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))) (+ (* h1 h1) (* h0 h0)) (+ h1 h0) (- h1 h0) (- (* h0 h0)) (+ 1 1) (* (- h1 h0) (- h1 h0)) (+ 1 1) (+ (log (- h1 h0)) (log (- h1 h0))) (log (* (- h1 h0) (- h1 h0))) (exp (* (- h1 h0) (- h1 h0))) (* (* (* (- h1 h0) (- h1 h0)) (- h1 h0)) (* (* (- h1 h0) (- h1 h0)) (- h1 h0))) (* (cbrt (* (- h1 h0) (- h1 h0))) (cbrt (* (- h1 h0) (- h1 h0)))) (cbrt (* (- h1 h0) (- h1 h0))) (* (* (* (- h1 h0) (- h1 h0)) (* (- h1 h0) (- h1 h0))) (* (- h1 h0) (- h1 h0))) (sqrt (* (- h1 h0) (- h1 h0))) (sqrt (* (- h1 h0) (- h1 h0))) (* (- (pow h1 3) (pow h0 3)) (- (pow h1 3) (pow h0 3))) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (+ (* h1 h1) (+ (* h0 h0) (* h1 h0)))) (* (- (pow h1 3) (pow h0 3)) (- (* h1 h1) (* h0 h0))) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (+ h1 h0)) (* (- (* h1 h1) (* h0 h0)) (- (pow h1 3) (pow h0 3))) (* (+ h1 h0) (+ (* h1 h1) (+ (* h0 h0) (* h1 h0)))) (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0))) (* (+ h1 h0) (+ h1 h0)) (* (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (sqrt (- h1 h0)) (sqrt (- h1 h0))) (* (sqrt (- h1 h0)) (sqrt (- h1 h0))) (* 1 1) (* (- h1 h0) (- h1 h0)) (* 1 1) (* (- h1 h0) (- h1 h0)) (* (+ (sqrt h1) (sqrt h0)) (+ (sqrt h1) (sqrt h0))) (* (- (sqrt h1) (sqrt h0)) (- (sqrt h1) (sqrt h0))) (* 1 1) (* (- h1 h0) (- h1 h0)) (* 1 1) (* (- h1 h0) (- h1 h0)) (* (sqrt (- h1 h0)) (sqrt (- h1 h0))) (* (sqrt (- h1 h0)) (sqrt (- h1 h0))) (* 2 1) (* (- h1 h0) h1) (* (- h1 h0) (- h0)) (* (- h1 h0) h1) (* (- h1 h0) (- h0)) (* h1 (- h1 h0)) (* (- h0) (- h1 h0)) (* h1 (- h1 h0)) (* (- h0) (- h1 h0)) (* (- h1 h0) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (* (- h1 h0) (sqrt (- h1 h0))) (* (- h1 h0) 1) (* (- h1 h0) (+ (sqrt h1) (sqrt h0))) (* (- h1 h0) 1) (* (cbrt (- h1 h0)) (- h1 h0)) (* (sqrt (- h1 h0)) (- h1 h0)) (* (- h1 h0) (- h1 h0)) (* (- (sqrt h1) (sqrt h0)) (- h1 h0)) (* (- h1 h0) (- h1 h0)) (* (- h1 h0) (- (pow h1 3) (pow h0 3))) (* (- h1 h0) (- (* h1 h1) (* h0 h0))) (* (- (pow h1 3) (pow h0 3)) (- h1 h0)) (* (- (* h1 h1) (* h0 h0)) (- h1 h0)) 1 -1 -1 (- (pow h1 2) (pow h0 2)) (- (pow h1 2) (pow h0 2)) (- (pow h1 2) (pow h0 2)) (- (+ (pow h1 2) (pow h0 2)) (* 2 (* h0 h1))) (- (+ (pow h1 2) (pow h0 2)) (* 2 (* h0 h1))) (- (+ (pow h1 2) (pow h0 2)) (* 2 (* h0 h1))) 3.787 * * [simplify]: iteration 0 : 429 enodes (cost 857 ) 3.796 * * [simplify]: iteration 1 : 2303 enodes (cost 757 ) 3.843 * * [simplify]: iteration 2 : 5002 enodes (cost 716 ) 3.847 * * * [progress]: adding candidates to table 4.037 * [progress]: [Phase 3 of 3] Extracting. 4.037 * * [regime]: Finding splitpoints for: (# # # #) 4.039 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 4.039 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # #) 4.053 * * * * [regimes]: Trying to branch on n from (# # # #) 4.071 * * * * [regimes]: Trying to branch on f from (# # # #) 4.086 * * * [regime]: Found split indices: #