0.708 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.312 * * * [progress]: [2/2] Setting up program. 0.314 * [progress]: [Phase 2 of 3] Improving. 0.317 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.317 * [simplify]: Sending expressions to egg_math: (/ (- (+ h0 h1)) (- h0 h1)) 0.320 * * [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 ) 0.325 * * [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 0.332 * * * * [pick]: Picked # 0.332 * * * [progress]: localizing error 0.340 * * * [progress]: generating rewritten candidates 0.340 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.402 * * * [progress]: generating series expansions 0.402 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.408 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.408 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.409 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.409 * [taylor]: Taking taylor expansion of -1 in n 0.409 * [backup-simplify]: Simplify -1 into -1 0.409 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.409 * [taylor]: Taking taylor expansion of (+ n f) in n 0.409 * [taylor]: Taking taylor expansion of n in n 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of f in n 0.409 * [backup-simplify]: Simplify f into f 0.410 * [taylor]: Taking taylor expansion of (- f n) in n 0.410 * [taylor]: Taking taylor expansion of f in n 0.410 * [backup-simplify]: Simplify f into f 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 * [backup-simplify]: Simplify (+ 0 f) into f 0.411 * [backup-simplify]: Simplify (- 0) into 0 0.411 * [backup-simplify]: Simplify (+ f 0) into f 0.411 * [backup-simplify]: Simplify (/ f f) into 1 0.411 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.411 * [taylor]: Taking taylor expansion of -1 in f 0.411 * [backup-simplify]: Simplify -1 into -1 0.411 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.411 * [taylor]: Taking taylor expansion of (+ n f) in f 0.411 * [taylor]: Taking taylor expansion of n in f 0.411 * [backup-simplify]: Simplify n into n 0.411 * [taylor]: Taking taylor expansion of f in f 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of (- f n) in f 0.411 * [taylor]: Taking taylor expansion of f in f 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of n in f 0.411 * [backup-simplify]: Simplify n into n 0.411 * [backup-simplify]: Simplify (+ n 0) into n 0.411 * [backup-simplify]: Simplify (- n) into (- n) 0.411 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.411 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.411 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.411 * [taylor]: Taking taylor expansion of -1 in f 0.411 * [backup-simplify]: Simplify -1 into -1 0.411 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.411 * [taylor]: Taking taylor expansion of (+ n f) in f 0.411 * [taylor]: Taking taylor expansion of n in f 0.411 * [backup-simplify]: Simplify n into n 0.411 * [taylor]: Taking taylor expansion of f in f 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of (- f n) in f 0.411 * [taylor]: Taking taylor expansion of f in f 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of n in f 0.411 * [backup-simplify]: Simplify n into n 0.411 * [backup-simplify]: Simplify (+ n 0) into n 0.411 * [backup-simplify]: Simplify (- n) into (- n) 0.411 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.411 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.412 * [backup-simplify]: Simplify (* -1 -1) into 1 0.412 * [taylor]: Taking taylor expansion of 1 in n 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (+ 0 1) into 1 0.413 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify (+ 1 0) into 1 0.414 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.414 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.414 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.414 * [taylor]: Taking taylor expansion of 2 in n 0.414 * [backup-simplify]: Simplify 2 into 2 0.414 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.414 * [taylor]: Taking taylor expansion of n in n 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (/ 1 1) into 1 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [backup-simplify]: Simplify (- 0) into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.418 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.418 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.418 * [taylor]: Taking taylor expansion of 2 in n 0.418 * [backup-simplify]: Simplify 2 into 2 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.418 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.418 * [taylor]: Taking taylor expansion of n in n 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (* 1 1) into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (- 0) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [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)))) 0.424 * [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))) 0.424 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.424 * [taylor]: Taking taylor expansion of 2 in n 0.424 * [backup-simplify]: Simplify 2 into 2 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.424 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.424 * [taylor]: Taking taylor expansion of n in n 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (* 1 1) into 1 0.425 * [backup-simplify]: Simplify (* 1 1) into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.430 * [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 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.431 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.431 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.431 * [taylor]: Taking taylor expansion of -1 in n 0.431 * [backup-simplify]: Simplify -1 into -1 0.431 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.431 * [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 0.432 * [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 0.433 * [backup-simplify]: Simplify (+ 0 1) into 1 0.433 * [backup-simplify]: Simplify (- 1) into -1 0.433 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.433 * [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 0.434 * [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) 0.435 * [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 0.435 * [backup-simplify]: Simplify -1 into -1 0.435 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.435 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.435 * [taylor]: Taking taylor expansion of f in f 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [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) 0.436 * [backup-simplify]: Simplify (+ 1 0) into 1 0.436 * [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 0.437 * [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)) 0.438 * [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 0.439 * [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 0.440 * [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 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [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 0.443 * [backup-simplify]: Simplify 2 into 2 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.443 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.443 * [taylor]: Taking taylor expansion of n in n 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [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 0.446 * [backup-simplify]: Simplify (- 0) into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [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 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.449 * [backup-simplify]: Simplify (+ 0 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) 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))) 0.451 * [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)))) 0.451 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.451 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.451 * [taylor]: Taking taylor expansion of 2 in n 0.451 * [backup-simplify]: Simplify 2 into 2 0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.451 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.451 * [taylor]: Taking taylor expansion of n in n 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (* 1 1) into 1 0.452 * [backup-simplify]: Simplify (* 1 1) into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify -1 into -1 0.457 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.457 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.458 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.458 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.458 * [taylor]: Taking taylor expansion of f in n 0.458 * [backup-simplify]: Simplify f into f 0.458 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.458 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.458 * [taylor]: Taking taylor expansion of n in n 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (/ 1 1) into 1 0.458 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.458 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.458 * [taylor]: Taking taylor expansion of n in n 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (/ 1 1) into 1 0.458 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.458 * [taylor]: Taking taylor expansion of f in n 0.458 * [backup-simplify]: Simplify f into f 0.458 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.459 * [backup-simplify]: Simplify (+ 0 1) into 1 0.459 * [backup-simplify]: Simplify (+ 1 0) into 1 0.459 * [backup-simplify]: Simplify (/ 1 1) into 1 0.459 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.459 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.459 * [taylor]: Taking taylor expansion of f in f 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) in f 0.459 * [taylor]: Taking taylor expansion of n in f 0.459 * [backup-simplify]: Simplify n into n 0.459 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.460 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.460 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.460 * [taylor]: Taking taylor expansion of n in f 0.460 * [backup-simplify]: Simplify n into n 0.460 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 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 0.460 * [backup-simplify]: Simplify (+ 1 0) into 1 0.460 * [backup-simplify]: Simplify (- 1) into -1 0.461 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.461 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.461 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 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 * [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 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.462 * [backup-simplify]: Simplify (+ 1 0) into 1 0.462 * [backup-simplify]: Simplify (- 1) into -1 0.462 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.463 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.463 * [taylor]: Taking taylor expansion of -1 in n 0.463 * [backup-simplify]: Simplify -1 into -1 0.463 * [backup-simplify]: Simplify -1 into -1 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- 0) into 0 0.468 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.468 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.468 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.468 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.468 * [taylor]: Taking taylor expansion of 2 in n 0.468 * [backup-simplify]: Simplify 2 into 2 0.468 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.468 * [taylor]: Taking taylor expansion of n in n 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.470 * [backup-simplify]: Simplify (- 0) into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (- 0) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.472 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.472 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.472 * [taylor]: Taking taylor expansion of 2 in n 0.472 * [backup-simplify]: Simplify 2 into 2 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.472 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.472 * [taylor]: Taking taylor expansion of n in n 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.476 * [backup-simplify]: Simplify (- 0) into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [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 0 into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- 0) into 0 0.479 * [backup-simplify]: Simplify (+ 0 0) into 0 0.480 * [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)))) 0.480 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.480 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.480 * [taylor]: Taking taylor expansion of 2 in n 0.480 * [backup-simplify]: Simplify 2 into 2 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.480 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.480 * [taylor]: Taking taylor expansion of n in n 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (* 1 1) into 1 0.481 * [backup-simplify]: Simplify (* 1 1) into 1 0.481 * [backup-simplify]: Simplify (/ 1 1) into 1 0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [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 0.486 * [backup-simplify]: Simplify (- 0) into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify -1 into -1 0.486 * * * [progress]: simplifying candidates 0.488 * [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 0.488 * [simplify]: Sending expressions to egg_math: (- (log (- (+ h0 h1))) (log (- h0 h1))) (log (/ (- (+ h0 h1)) (- h0 h1))) (exp (/ (- (+ h0 h1)) (- h0 h1))) (/ (* (* (- (+ h0 h1)) (- (+ h0 h1))) (- (+ h0 h1))) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (cbrt (/ (- (+ h0 h1)) (- h0 h1))) (cbrt (/ (- (+ h0 h1)) (- h0 h1)))) (cbrt (/ (- (+ h0 h1)) (- h0 h1))) (* (* (/ (- (+ h0 h1)) (- h0 h1)) (/ (- (+ h0 h1)) (- h0 h1))) (/ (- (+ h0 h1)) (- h0 h1))) (sqrt (/ (- (+ h0 h1)) (- h0 h1))) (sqrt (/ (- (+ h0 h1)) (- h0 h1))) (- (- (+ h0 h1))) (- (- h0 h1)) (/ 0 (- h0 h1)) (/ (+ h0 h1) (- h0 h1)) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (cbrt (- (+ h0 h1))) (cbrt (- h0 h1))) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) (sqrt (- h0 h1))) (/ (cbrt (- (+ h0 h1))) (sqrt (- h0 h1))) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) 1) (/ (cbrt (- (+ h0 h1))) (- h0 h1)) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) (+ (sqrt h0) (sqrt h1))) (/ (cbrt (- (+ h0 h1))) (- (sqrt h0) (sqrt h1))) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) 1) (/ (cbrt (- (+ h0 h1))) (- h0 h1)) (/ (sqrt (- (+ h0 h1))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (sqrt (- (+ h0 h1))) (cbrt (- h0 h1))) (/ (sqrt (- (+ h0 h1))) (sqrt (- h0 h1))) (/ (sqrt (- (+ h0 h1))) (sqrt (- h0 h1))) (/ (sqrt (- (+ h0 h1))) 1) (/ (sqrt (- (+ h0 h1))) (- h0 h1)) (/ (sqrt (- (+ h0 h1))) (+ (sqrt h0) (sqrt h1))) (/ (sqrt (- (+ h0 h1))) (- (sqrt h0) (sqrt h1))) (/ (sqrt (- (+ h0 h1))) 1) (/ (sqrt (- (+ h0 h1))) (- h0 h1)) (/ 1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (+ h0 h1)) (cbrt (- h0 h1))) (/ 1 (sqrt (- h0 h1))) (/ (- (+ h0 h1)) (sqrt (- h0 h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (+ (sqrt h0) (sqrt h1))) (/ (- (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ -1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (+ h0 h1) (cbrt (- h0 h1))) (/ -1 (sqrt (- h0 h1))) (/ (+ h0 h1) (sqrt (- h0 h1))) (/ -1 1) (/ (+ h0 h1) (- h0 h1)) (/ -1 (+ (sqrt h0) (sqrt h1))) (/ (+ h0 h1) (- (sqrt h0) (sqrt h1))) (/ -1 1) (/ (+ h0 h1) (- h0 h1)) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (cbrt (+ h0 h1)) (cbrt (- h0 h1))) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (- h0 h1))) (/ (cbrt (+ h0 h1)) (sqrt (- h0 h1))) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) 1) (/ (cbrt (+ h0 h1)) (- h0 h1)) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (+ (sqrt h0) (sqrt h1))) (/ (cbrt (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) 1) (/ (cbrt (+ h0 h1)) (- h0 h1)) (/ (- (sqrt (+ h0 h1))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (sqrt (+ h0 h1)) (cbrt (- h0 h1))) (/ (- (sqrt (+ h0 h1))) (sqrt (- h0 h1))) (/ (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (/ (- (sqrt (+ h0 h1))) 1) (/ (sqrt (+ h0 h1)) (- h0 h1)) (/ (- (sqrt (+ h0 h1))) (+ (sqrt h0) (sqrt h1))) (/ (sqrt (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ (- (sqrt (+ h0 h1))) 1) (/ (sqrt (+ h0 h1)) (- h0 h1)) (/ (- 1) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (+ h0 h1) (cbrt (- h0 h1))) (/ (- 1) (sqrt (- h0 h1))) (/ (+ h0 h1) (sqrt (- h0 h1))) (/ (- 1) 1) (/ (+ h0 h1) (- h0 h1)) (/ (- 1) (+ (sqrt h0) (sqrt h1))) (/ (+ h0 h1) (- (sqrt h0) (sqrt h1))) (/ (- 1) 1) (/ (+ h0 h1) (- h0 h1)) (/ (- 1) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (+ h0 h1) (cbrt (- h0 h1))) (/ (- 1) (sqrt (- h0 h1))) (/ (+ h0 h1) (sqrt (- h0 h1))) (/ (- 1) 1) (/ (+ h0 h1) (- h0 h1)) (/ (- 1) (+ (sqrt h0) (sqrt h1))) (/ (+ h0 h1) (- (sqrt h0) (sqrt h1))) (/ (- 1) 1) (/ (+ h0 h1) (- h0 h1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (cbrt (+ h0 h1))) (cbrt (- h0 h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt (- h0 h1))) (/ (- (cbrt (+ h0 h1))) (sqrt (- h0 h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (- (cbrt (+ h0 h1))) (- h0 h1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (+ (sqrt h0) (sqrt h1))) (/ (- (cbrt (+ h0 h1))) (- (sqrt h0) (sqrt h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (- (cbrt (+ h0 h1))) (- h0 h1)) (/ (sqrt (+ h0 h1)) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (sqrt (+ h0 h1))) (cbrt (- h0 h1))) (/ (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (/ (- (sqrt (+ h0 h1))) (sqrt (- h0 h1))) (/ (sqrt (+ h0 h1)) 1) (/ (- (sqrt (+ h0 h1))) (- h0 h1)) (/ (sqrt (+ h0 h1)) (+ (sqrt h0) (sqrt h1))) (/ (- (sqrt (+ h0 h1))) (- (sqrt h0) (sqrt h1))) (/ (sqrt (+ h0 h1)) 1) (/ (- (sqrt (+ h0 h1))) (- h0 h1)) (/ 1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (+ h0 h1)) (cbrt (- h0 h1))) (/ 1 (sqrt (- h0 h1))) (/ (- (+ h0 h1)) (sqrt (- h0 h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (+ (sqrt h0) (sqrt h1))) (/ (- (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (+ h0 h1)) (cbrt (- h0 h1))) (/ 1 (sqrt (- h0 h1))) (/ (- (+ h0 h1)) (sqrt (- h0 h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (+ (sqrt h0) (sqrt h1))) (/ (- (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (- h0 h1)) (/ (- h0 h1) (- (+ h0 h1))) (/ (+ h0 h1) (- h0 h1)) (/ (- (+ h0 h1)) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (+ h0 h1)) (sqrt (- h0 h1))) (/ (- (+ h0 h1)) 1) (/ (- (+ h0 h1)) (+ (sqrt h0) (sqrt h1))) (/ (- (+ h0 h1)) 1) (/ (- h0 h1) (cbrt (- (+ h0 h1)))) (/ (- h0 h1) (sqrt (- (+ h0 h1)))) (/ (- h0 h1) (- (+ h0 h1))) (/ (- h0 h1) (+ h0 h1)) (/ (- h0 h1) (cbrt (+ h0 h1))) (/ (- h0 h1) (sqrt (+ h0 h1))) (/ (- h0 h1) (+ h0 h1)) (/ (- h0 h1) (+ h0 h1)) (/ (- h0 h1) (- (cbrt (+ h0 h1)))) (/ (- h0 h1) (- (sqrt (+ h0 h1)))) (/ (- h0 h1) (- (+ h0 h1))) (/ (- h0 h1) (- (+ h0 h1))) (/ (- (+ h0 h1)) (- (pow h0 3) (pow h1 3))) (/ (- (+ h0 h1)) (- (* h0 h0) (* h1 h1))) (* (- h0 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (- h0 h1) (- h0 h1)) 1 -1 -1 0.492 * * [simplify]: iteration 0 : 288 enodes (cost 764 ) 0.497 * * [simplify]: iteration 1 : 915 enodes (cost 748 ) 0.510 * * [simplify]: iteration 2 : 2934 enodes (cost 733 ) 0.547 * * [simplify]: iteration 3 : 5002 enodes (cost 733 ) 0.551 * * * [progress]: adding candidates to table 0.691 * * [progress]: iteration 2 / 4 0.691 * * * [progress]: picking best candidate 0.697 * * * * [pick]: Picked # 0.697 * * * [progress]: localizing error 0.703 * * * [progress]: generating rewritten candidates 0.703 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.725 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.759 * * * [progress]: generating series expansions 0.759 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.760 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 0.760 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 0.760 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 0.760 * [taylor]: Taking taylor expansion of (- f n) in n 0.760 * [taylor]: Taking taylor expansion of f in n 0.760 * [backup-simplify]: Simplify f into f 0.760 * [taylor]: Taking taylor expansion of n in n 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [taylor]: Taking taylor expansion of (+ n f) in n 0.760 * [taylor]: Taking taylor expansion of n in n 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [taylor]: Taking taylor expansion of f in n 0.760 * [backup-simplify]: Simplify f into f 0.760 * [backup-simplify]: Simplify (- 0) into 0 0.760 * [backup-simplify]: Simplify (+ f 0) into f 0.760 * [backup-simplify]: Simplify (+ 0 f) into f 0.760 * [backup-simplify]: Simplify (/ f f) into 1 0.760 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.760 * [taylor]: Taking taylor expansion of (- f n) in f 0.760 * [taylor]: Taking taylor expansion of f in f 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [taylor]: Taking taylor expansion of n in f 0.760 * [backup-simplify]: Simplify n into n 0.760 * [taylor]: Taking taylor expansion of (+ n f) in f 0.760 * [taylor]: Taking taylor expansion of n in f 0.760 * [backup-simplify]: Simplify n into n 0.760 * [taylor]: Taking taylor expansion of f in f 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.761 * [backup-simplify]: Simplify (- n) into (- n) 0.761 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.761 * [backup-simplify]: Simplify (+ n 0) into n 0.761 * [backup-simplify]: Simplify (/ (- n) n) into -1 0.761 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.761 * [taylor]: Taking taylor expansion of (- f n) in f 0.761 * [taylor]: Taking taylor expansion of f in f 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [taylor]: Taking taylor expansion of n in f 0.761 * [backup-simplify]: Simplify n into n 0.761 * [taylor]: Taking taylor expansion of (+ n f) in f 0.761 * [taylor]: Taking taylor expansion of n in f 0.761 * [backup-simplify]: Simplify n into n 0.761 * [taylor]: Taking taylor expansion of f in f 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [backup-simplify]: Simplify (- n) into (- n) 0.761 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.761 * [backup-simplify]: Simplify (+ n 0) into n 0.761 * [backup-simplify]: Simplify (/ (- n) n) into -1 0.761 * [taylor]: Taking taylor expansion of -1 in n 0.761 * [backup-simplify]: Simplify -1 into -1 0.761 * [backup-simplify]: Simplify -1 into -1 0.761 * [backup-simplify]: Simplify (- 0) into 0 0.762 * [backup-simplify]: Simplify (+ 1 0) into 1 0.762 * [backup-simplify]: Simplify (+ 0 1) into 1 0.762 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 0.762 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.762 * [taylor]: Taking taylor expansion of 2 in n 0.762 * [backup-simplify]: Simplify 2 into 2 0.762 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.762 * [taylor]: Taking taylor expansion of n in n 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 1 into 1 0.762 * [backup-simplify]: Simplify (/ 1 1) into 1 0.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (- 0) into 0 0.764 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 0.764 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.764 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.764 * [taylor]: Taking taylor expansion of 2 in n 0.764 * [backup-simplify]: Simplify 2 into 2 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.764 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.764 * [taylor]: Taking taylor expansion of n in n 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 1 into 1 0.765 * [backup-simplify]: Simplify (* 1 1) into 1 0.765 * [backup-simplify]: Simplify (/ 1 1) into 1 0.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.767 * [backup-simplify]: Simplify (- 0) into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify (- 0) into 0 0.769 * [backup-simplify]: Simplify (+ 0 0) into 0 0.769 * [backup-simplify]: Simplify (+ 0 0) into 0 0.770 * [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))) 0.770 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.770 * [taylor]: Taking taylor expansion of 2 in n 0.770 * [backup-simplify]: Simplify 2 into 2 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.770 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.770 * [taylor]: Taking taylor expansion of n in n 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (* 1 1) into 1 0.770 * [backup-simplify]: Simplify (* 1 1) into 1 0.770 * [backup-simplify]: Simplify (/ 1 1) into 1 0.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify -1 into -1 0.775 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 0.776 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 0.776 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 0.776 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.776 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.776 * [taylor]: Taking taylor expansion of f in n 0.776 * [backup-simplify]: Simplify f into f 0.776 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.776 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.776 * [taylor]: Taking taylor expansion of n in n 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.776 * [backup-simplify]: Simplify (/ 1 1) into 1 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.776 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.776 * [taylor]: Taking taylor expansion of f in n 0.776 * [backup-simplify]: Simplify f into f 0.776 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.776 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.776 * [taylor]: Taking taylor expansion of n in n 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.776 * [backup-simplify]: Simplify (/ 1 1) into 1 0.777 * [backup-simplify]: Simplify (- 1) into -1 0.777 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.777 * [backup-simplify]: Simplify (+ 0 1) into 1 0.777 * [backup-simplify]: Simplify (/ -1 1) into -1 0.777 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.777 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.777 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.777 * [taylor]: Taking taylor expansion of f in f 0.777 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [backup-simplify]: Simplify (/ 1 1) into 1 0.778 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.778 * [taylor]: Taking taylor expansion of n in f 0.778 * [backup-simplify]: Simplify n into n 0.778 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.778 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.778 * [taylor]: Taking taylor expansion of f in f 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [backup-simplify]: Simplify (/ 1 1) into 1 0.778 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.778 * [taylor]: Taking taylor expansion of n in f 0.778 * [backup-simplify]: Simplify n into n 0.778 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.778 * [backup-simplify]: Simplify (+ 1 0) into 1 0.779 * [backup-simplify]: Simplify (+ 1 0) into 1 0.779 * [backup-simplify]: Simplify (/ 1 1) into 1 0.779 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.779 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.779 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.779 * [taylor]: Taking taylor expansion of f in f 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (/ 1 1) into 1 0.779 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.779 * [taylor]: Taking taylor expansion of n in f 0.779 * [backup-simplify]: Simplify n into n 0.779 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.779 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.779 * [taylor]: Taking taylor expansion of f in f 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (/ 1 1) into 1 0.780 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.780 * [taylor]: Taking taylor expansion of n in f 0.780 * [backup-simplify]: Simplify n into n 0.780 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.780 * [backup-simplify]: Simplify (+ 1 0) into 1 0.780 * [backup-simplify]: Simplify (+ 1 0) into 1 0.781 * [backup-simplify]: Simplify (/ 1 1) into 1 0.781 * [taylor]: Taking taylor expansion of 1 in n 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.781 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.782 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 0.782 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.782 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.782 * [taylor]: Taking taylor expansion of 2 in n 0.782 * [backup-simplify]: Simplify 2 into 2 0.782 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.782 * [taylor]: Taking taylor expansion of n in n 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.782 * [backup-simplify]: Simplify (/ 1 1) into 1 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.783 * [backup-simplify]: Simplify (- 0) into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.784 * [backup-simplify]: Simplify (- 0) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.785 * [backup-simplify]: Simplify (+ 0 0) into 0 0.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 0.786 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.786 * [taylor]: Taking taylor expansion of 2 in n 0.786 * [backup-simplify]: Simplify 2 into 2 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.786 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.786 * [taylor]: Taking taylor expansion of n in n 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (* 1 1) into 1 0.786 * [backup-simplify]: Simplify (/ 1 1) into 1 0.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.790 * [backup-simplify]: Simplify (- 0) into 0 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.791 * [backup-simplify]: Simplify (- 0) into 0 0.791 * [backup-simplify]: Simplify (+ 0 0) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.792 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [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)))) 0.793 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.793 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.793 * [taylor]: Taking taylor expansion of 2 in n 0.793 * [backup-simplify]: Simplify 2 into 2 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.793 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.793 * [taylor]: Taking taylor expansion of n in n 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (* 1 1) into 1 0.794 * [backup-simplify]: Simplify (* 1 1) into 1 0.794 * [backup-simplify]: Simplify (/ 1 1) into 1 0.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (- 0) into 0 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 0.799 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 0.799 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 0.799 * [taylor]: Taking taylor expansion of -1 in n 0.799 * [backup-simplify]: Simplify -1 into -1 0.799 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 0.799 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.799 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.799 * [taylor]: Taking taylor expansion of n in n 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (/ 1 1) into 1 0.800 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.800 * [taylor]: Taking taylor expansion of f in n 0.800 * [backup-simplify]: Simplify f into f 0.800 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.800 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.800 * [taylor]: Taking taylor expansion of f in n 0.800 * [backup-simplify]: Simplify f into f 0.800 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.800 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.800 * [taylor]: Taking taylor expansion of n in n 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (/ 1 1) into 1 0.800 * [backup-simplify]: Simplify (+ 1 0) into 1 0.801 * [backup-simplify]: Simplify (+ 0 1) into 1 0.801 * [backup-simplify]: Simplify (/ 1 1) into 1 0.801 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.801 * [taylor]: Taking taylor expansion of -1 in f 0.801 * [backup-simplify]: Simplify -1 into -1 0.801 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.801 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.801 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.801 * [taylor]: Taking taylor expansion of n in f 0.801 * [backup-simplify]: Simplify n into n 0.801 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.801 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.801 * [taylor]: Taking taylor expansion of f in f 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (/ 1 1) into 1 0.801 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.801 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.801 * [taylor]: Taking taylor expansion of f in f 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [backup-simplify]: Simplify (/ 1 1) into 1 0.802 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.802 * [taylor]: Taking taylor expansion of n in f 0.802 * [backup-simplify]: Simplify n into n 0.802 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.802 * [backup-simplify]: Simplify (- 1) into -1 0.802 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.803 * [backup-simplify]: Simplify (+ 1 0) into 1 0.803 * [backup-simplify]: Simplify (/ -1 1) into -1 0.803 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.803 * [taylor]: Taking taylor expansion of -1 in f 0.803 * [backup-simplify]: Simplify -1 into -1 0.803 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.803 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.803 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.803 * [taylor]: Taking taylor expansion of n in f 0.803 * [backup-simplify]: Simplify n into n 0.803 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.803 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.803 * [taylor]: Taking taylor expansion of f in f 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (/ 1 1) into 1 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.803 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.803 * [taylor]: Taking taylor expansion of f in f 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 1 into 1 0.804 * [backup-simplify]: Simplify (/ 1 1) into 1 0.804 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.804 * [taylor]: Taking taylor expansion of n in f 0.804 * [backup-simplify]: Simplify n into n 0.804 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.804 * [backup-simplify]: Simplify (- 1) into -1 0.804 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.804 * [backup-simplify]: Simplify (+ 1 0) into 1 0.805 * [backup-simplify]: Simplify (/ -1 1) into -1 0.805 * [backup-simplify]: Simplify (* -1 -1) into 1 0.805 * [taylor]: Taking taylor expansion of 1 in n 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (- 0) into 0 0.806 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.806 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 0.807 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 0.807 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.807 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.807 * [taylor]: Taking taylor expansion of 2 in n 0.807 * [backup-simplify]: Simplify 2 into 2 0.807 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.807 * [taylor]: Taking taylor expansion of n in n 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 1 into 1 0.807 * [backup-simplify]: Simplify (/ 1 1) into 1 0.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.808 * [backup-simplify]: Simplify (- 0) into 0 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.809 * [backup-simplify]: Simplify (- 0) into 0 0.809 * [backup-simplify]: Simplify (+ 0 0) into 0 0.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.810 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.811 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.811 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.811 * [taylor]: Taking taylor expansion of 2 in n 0.811 * [backup-simplify]: Simplify 2 into 2 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.811 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.811 * [taylor]: Taking taylor expansion of n in n 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 1 into 1 0.812 * [backup-simplify]: Simplify (* 1 1) into 1 0.812 * [backup-simplify]: Simplify (/ 1 1) into 1 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.814 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.815 * [backup-simplify]: Simplify (- 0) into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (- 0) into 0 0.817 * [backup-simplify]: Simplify (+ 0 0) into 0 0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.817 * [backup-simplify]: Simplify (+ 0 0) into 0 0.818 * [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))) 0.819 * [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)))) 0.819 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.819 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.819 * [taylor]: Taking taylor expansion of 2 in n 0.819 * [backup-simplify]: Simplify 2 into 2 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.819 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.819 * [taylor]: Taking taylor expansion of n in n 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 1 into 1 0.819 * [backup-simplify]: Simplify (* 1 1) into 1 0.820 * [backup-simplify]: Simplify (* 1 1) into 1 0.820 * [backup-simplify]: Simplify (/ 1 1) into 1 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (- 0) into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.825 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 0.825 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.825 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.825 * [taylor]: Taking taylor expansion of -1 in n 0.825 * [backup-simplify]: Simplify -1 into -1 0.825 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.825 * [taylor]: Taking taylor expansion of (+ n f) in n 0.825 * [taylor]: Taking taylor expansion of n in n 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [taylor]: Taking taylor expansion of f in n 0.825 * [backup-simplify]: Simplify f into f 0.825 * [taylor]: Taking taylor expansion of (- f n) in n 0.825 * [taylor]: Taking taylor expansion of f in n 0.825 * [backup-simplify]: Simplify f into f 0.825 * [taylor]: Taking taylor expansion of n in n 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (+ 0 f) into f 0.826 * [backup-simplify]: Simplify (- 0) into 0 0.826 * [backup-simplify]: Simplify (+ f 0) into f 0.826 * [backup-simplify]: Simplify (/ f f) into 1 0.826 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.826 * [taylor]: Taking taylor expansion of -1 in f 0.826 * [backup-simplify]: Simplify -1 into -1 0.826 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.826 * [taylor]: Taking taylor expansion of (+ n f) in f 0.826 * [taylor]: Taking taylor expansion of n in f 0.826 * [backup-simplify]: Simplify n into n 0.826 * [taylor]: Taking taylor expansion of f in f 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [taylor]: Taking taylor expansion of (- f n) in f 0.826 * [taylor]: Taking taylor expansion of f in f 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [taylor]: Taking taylor expansion of n in f 0.826 * [backup-simplify]: Simplify n into n 0.826 * [backup-simplify]: Simplify (+ n 0) into n 0.826 * [backup-simplify]: Simplify (- n) into (- n) 0.826 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.826 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.826 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.826 * [taylor]: Taking taylor expansion of -1 in f 0.826 * [backup-simplify]: Simplify -1 into -1 0.826 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.826 * [taylor]: Taking taylor expansion of (+ n f) in f 0.826 * [taylor]: Taking taylor expansion of n in f 0.826 * [backup-simplify]: Simplify n into n 0.826 * [taylor]: Taking taylor expansion of f in f 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [taylor]: Taking taylor expansion of (- f n) in f 0.826 * [taylor]: Taking taylor expansion of f in f 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [taylor]: Taking taylor expansion of n in f 0.826 * [backup-simplify]: Simplify n into n 0.826 * [backup-simplify]: Simplify (+ n 0) into n 0.826 * [backup-simplify]: Simplify (- n) into (- n) 0.826 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.827 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.827 * [backup-simplify]: Simplify (* -1 -1) into 1 0.827 * [taylor]: Taking taylor expansion of 1 in n 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (+ 0 1) into 1 0.828 * [backup-simplify]: Simplify (- 0) into 0 0.828 * [backup-simplify]: Simplify (+ 1 0) into 1 0.828 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.828 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.828 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.828 * [taylor]: Taking taylor expansion of 2 in n 0.828 * [backup-simplify]: Simplify 2 into 2 0.828 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.828 * [taylor]: Taking taylor expansion of n in n 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.829 * [backup-simplify]: Simplify (/ 1 1) into 1 0.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify (+ 0 0) into 0 0.830 * [backup-simplify]: Simplify (- 0) into 0 0.830 * [backup-simplify]: Simplify (+ 0 0) into 0 0.831 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.831 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.831 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.831 * [taylor]: Taking taylor expansion of 2 in n 0.831 * [backup-simplify]: Simplify 2 into 2 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.831 * [taylor]: Taking taylor expansion of (pow n 2) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.832 * [backup-simplify]: Simplify (/ 1 1) into 1 0.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify (+ 0 0) into 0 0.835 * [backup-simplify]: Simplify (- 0) into 0 0.836 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [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)))) 0.837 * [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))) 0.837 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) 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 3)) in n 0.837 * [taylor]: Taking taylor expansion of (pow n 3) 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 0.837 * [backup-simplify]: Simplify (* 1 1) into 1 0.837 * [backup-simplify]: Simplify (/ 1 1) into 1 0.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.845 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.845 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.845 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.845 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.846 * [taylor]: Taking taylor expansion of -1 in n 0.846 * [backup-simplify]: Simplify -1 into -1 0.846 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.846 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.846 * [taylor]: Taking taylor expansion of f in n 0.846 * [backup-simplify]: Simplify f into f 0.846 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.846 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.846 * [taylor]: Taking taylor expansion of n in n 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [backup-simplify]: Simplify (/ 1 1) into 1 0.846 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.846 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.846 * [taylor]: Taking taylor expansion of f in n 0.846 * [backup-simplify]: Simplify f into f 0.846 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.846 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.846 * [taylor]: Taking taylor expansion of n in n 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [backup-simplify]: Simplify (/ 1 1) into 1 0.847 * [backup-simplify]: Simplify (+ 0 1) into 1 0.847 * [backup-simplify]: Simplify (- 1) into -1 0.847 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.847 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.847 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.847 * [taylor]: Taking taylor expansion of -1 in f 0.847 * [backup-simplify]: Simplify -1 into -1 0.847 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.847 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.847 * [taylor]: Taking taylor expansion of f in f 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (/ 1 1) into 1 0.848 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.848 * [taylor]: Taking taylor expansion of n in f 0.848 * [backup-simplify]: Simplify n into n 0.848 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.848 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.848 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.848 * [taylor]: Taking taylor expansion of f in f 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (/ 1 1) into 1 0.848 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.848 * [taylor]: Taking taylor expansion of n in f 0.848 * [backup-simplify]: Simplify n into n 0.848 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.848 * [backup-simplify]: Simplify (+ 1 0) into 1 0.849 * [backup-simplify]: Simplify (+ 1 0) into 1 0.849 * [backup-simplify]: Simplify (/ 1 1) into 1 0.849 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.849 * [taylor]: Taking taylor expansion of -1 in f 0.849 * [backup-simplify]: Simplify -1 into -1 0.849 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.849 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.849 * [taylor]: Taking taylor expansion of f in f 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify (/ 1 1) into 1 0.850 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.850 * [taylor]: Taking taylor expansion of n in f 0.850 * [backup-simplify]: Simplify n into n 0.850 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 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 0.850 * [backup-simplify]: Simplify (/ 1 1) into 1 0.850 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.850 * [taylor]: Taking taylor expansion of n in f 0.850 * [backup-simplify]: Simplify n into n 0.850 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.850 * [backup-simplify]: Simplify (+ 1 0) into 1 0.851 * [backup-simplify]: Simplify (+ 1 0) into 1 0.851 * [backup-simplify]: Simplify (/ 1 1) into 1 0.851 * [backup-simplify]: Simplify (* -1 1) into -1 0.851 * [taylor]: Taking taylor expansion of -1 in n 0.851 * [backup-simplify]: Simplify -1 into -1 0.851 * [backup-simplify]: Simplify -1 into -1 0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.852 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.852 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.853 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.853 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.853 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.853 * [taylor]: Taking taylor expansion of 2 in n 0.853 * [backup-simplify]: Simplify 2 into 2 0.853 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.853 * [taylor]: Taking taylor expansion of n in n 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify 1 into 1 0.853 * [backup-simplify]: Simplify (/ 1 1) into 1 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.854 * [backup-simplify]: Simplify (- 0) into 0 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.855 * [backup-simplify]: Simplify (+ 0 0) into 0 0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.856 * [backup-simplify]: Simplify (- 0) into 0 0.856 * [backup-simplify]: Simplify (+ 0 0) into 0 0.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.857 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.857 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.857 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.857 * [taylor]: Taking taylor expansion of 2 in n 0.857 * [backup-simplify]: Simplify 2 into 2 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.857 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.857 * [taylor]: Taking taylor expansion of n in n 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 1 into 1 0.858 * [backup-simplify]: Simplify (* 1 1) into 1 0.858 * [backup-simplify]: Simplify (/ 1 1) into 1 0.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.860 * [backup-simplify]: Simplify (- 0) into 0 0.860 * [backup-simplify]: Simplify 0 into 0 0.861 * [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 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.863 * [backup-simplify]: Simplify (+ 0 0) into 0 0.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.864 * [backup-simplify]: Simplify (- 0) into 0 0.864 * [backup-simplify]: Simplify (+ 0 0) into 0 0.865 * [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))) 0.866 * [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)))) 0.866 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.866 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.866 * [taylor]: Taking taylor expansion of 2 in n 0.866 * [backup-simplify]: Simplify 2 into 2 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.866 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.866 * [taylor]: Taking taylor expansion of n in n 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [backup-simplify]: Simplify (* 1 1) into 1 0.866 * [backup-simplify]: Simplify (* 1 1) into 1 0.866 * [backup-simplify]: Simplify (/ 1 1) into 1 0.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (- 0) into 0 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify -1 into -1 0.872 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.872 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.872 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.872 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.872 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.872 * [taylor]: Taking taylor expansion of f in n 0.872 * [backup-simplify]: Simplify f into f 0.872 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.872 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.872 * [taylor]: Taking taylor expansion of n in n 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 1 into 1 0.872 * [backup-simplify]: Simplify (/ 1 1) into 1 0.872 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.872 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.872 * [taylor]: Taking taylor expansion of n in n 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 1 into 1 0.873 * [backup-simplify]: Simplify (/ 1 1) into 1 0.873 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.873 * [taylor]: Taking taylor expansion of f in n 0.873 * [backup-simplify]: Simplify f into f 0.873 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.873 * [backup-simplify]: Simplify (+ 0 1) into 1 0.873 * [backup-simplify]: Simplify (+ 1 0) into 1 0.874 * [backup-simplify]: Simplify (/ 1 1) into 1 0.874 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.874 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.874 * [taylor]: Taking taylor expansion of f in f 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) in f 0.874 * [taylor]: Taking taylor expansion of n in f 0.874 * [backup-simplify]: Simplify n into n 0.874 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.874 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.874 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.874 * [taylor]: Taking taylor expansion of n in f 0.874 * [backup-simplify]: Simplify n into n 0.874 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.874 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.874 * [taylor]: Taking taylor expansion of f in f 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 0.875 * [backup-simplify]: Simplify (+ 1 0) into 1 0.875 * [backup-simplify]: Simplify (- 1) into -1 0.875 * [backup-simplify]: Simplify (+ 0 -1) 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 0.876 * [backup-simplify]: Simplify (/ 1 1) into 1 0.876 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.876 * [taylor]: Taking taylor expansion of n in f 0.876 * [backup-simplify]: Simplify n into n 0.876 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.876 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.876 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.876 * [taylor]: Taking taylor expansion of n in f 0.876 * [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 0.877 * [backup-simplify]: Simplify (- 1) into -1 0.877 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.877 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.877 * [taylor]: Taking taylor expansion of -1 in n 0.877 * [backup-simplify]: Simplify -1 into -1 0.877 * [backup-simplify]: Simplify -1 into -1 0.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.878 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.878 * [backup-simplify]: Simplify (- 0) into 0 0.879 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.879 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.879 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.879 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.879 * [taylor]: Taking taylor expansion of 2 in n 0.879 * [backup-simplify]: Simplify 2 into 2 0.879 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.879 * [taylor]: Taking taylor expansion of n in n 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 1 into 1 0.879 * [backup-simplify]: Simplify (/ 1 1) into 1 0.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.880 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.880 * [backup-simplify]: Simplify (- 0) into 0 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.881 * [backup-simplify]: Simplify (+ 0 0) into 0 0.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (- 0) into 0 0.882 * [backup-simplify]: Simplify (+ 0 0) into 0 0.883 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.883 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.883 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.883 * [taylor]: Taking taylor expansion of 2 in n 0.883 * [backup-simplify]: Simplify 2 into 2 0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.883 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.883 * [taylor]: Taking taylor expansion of n in n 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.884 * [backup-simplify]: Simplify (* 1 1) into 1 0.884 * [backup-simplify]: Simplify (/ 1 1) into 1 0.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.886 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.886 * [backup-simplify]: Simplify (- 0) into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.888 * [backup-simplify]: Simplify (- 0) into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.888 * [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 0.889 * [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 0.891 * [backup-simplify]: Simplify (* 1 1) into 1 0.891 * [backup-simplify]: Simplify (* 1 1) into 1 0.892 * [backup-simplify]: Simplify (/ 1 1) into 1 0.892 * [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 0.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.897 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.897 * [backup-simplify]: Simplify (- 0) into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify -1 into -1 0.897 * * * [progress]: simplifying candidates 0.900 * [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)) (/ f (+ f n)) (/ 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))) 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)) 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(- h0 h1)) (cbrt (- h0 h1))) 1)) (/ (sqrt -1) (/ (cbrt (- h0 h1)) (+ h0 h1))) (/ (sqrt -1) (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ (sqrt -1) (/ (cbrt (- h0 h1)) (+ h0 h1))) (/ (sqrt -1) (/ (sqrt (- h0 h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ (sqrt -1) (/ (sqrt (- h0 h1)) (cbrt (+ h0 h1)))) (/ (sqrt -1) (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1)))) (/ (sqrt -1) (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1)))) (/ (sqrt -1) (/ (sqrt (- h0 h1)) 1)) (/ (sqrt -1) (/ (sqrt (- h0 h1)) (+ h0 h1))) (/ (sqrt -1) (/ (sqrt (- h0 h1)) 1)) (/ (sqrt -1) (/ (sqrt (- h0 h1)) (+ h0 h1))) (/ (sqrt -1) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ (sqrt -1) (/ (- h0 h1) (cbrt (+ h0 h1)))) (/ (sqrt -1) (/ 1 (sqrt (+ h0 h1)))) (/ (sqrt -1) (/ (- h0 h1) (sqrt (+ h0 h1)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- h0 h1) (+ h0 h1))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- h0 h1) (+ h0 h1))) (/ (sqrt -1) (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ (sqrt -1) (/ (- (sqrt h0) (sqrt h1)) (cbrt (+ h0 h1)))) (/ (sqrt -1) (/ (+ (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (/ (sqrt -1) (/ (- (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (/ (sqrt -1) (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ (sqrt -1) (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1))) (/ (sqrt -1) (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ (sqrt -1) (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1))) (/ (sqrt -1) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ (sqrt -1) (/ (- h0 h1) (cbrt (+ h0 h1)))) (/ (sqrt -1) (/ 1 (sqrt (+ h0 h1)))) (/ (sqrt -1) (/ (- h0 h1) (sqrt (+ h0 h1)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- h0 h1) (+ h0 h1))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- h0 h1) (+ h0 h1))) (/ (sqrt -1) 1) (/ (sqrt -1) (/ (- h0 h1) (+ h0 h1))) (/ (sqrt -1) (- h0 h1)) (/ (sqrt -1) (/ 1 (+ h0 h1))) (/ (sqrt -1) (/ (- h0 h1) (+ (pow h0 3) (pow h1 3)))) (/ (sqrt -1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (/ (sqrt -1) (/ (- h0 h1) (- (* h0 h0) (* h1 h1)))) (/ (sqrt -1) (- h0 h1)) (/ 1 (* (cbrt (/ (- h0 h1) (+ h0 h1))) (cbrt (/ (- h0 h1) (+ h0 h1))))) (/ -1 (cbrt (/ (- h0 h1) (+ h0 h1)))) (/ 1 (sqrt (/ (- h0 h1) (+ h0 h1)))) (/ -1 (sqrt (/ (- h0 h1) (+ h0 h1)))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ (cbrt (- h0 h1)) (cbrt (+ h0 h1)))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (sqrt (+ h0 h1)))) (/ -1 (/ (cbrt (- h0 h1)) (sqrt (+ h0 h1)))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ -1 (/ (cbrt (- h0 h1)) (+ h0 h1))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ -1 (/ (cbrt (- h0 h1)) (+ h0 h1))) (/ 1 (/ (sqrt (- h0 h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ (sqrt (- h0 h1)) (cbrt (+ h0 h1)))) (/ 1 (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1)))) (/ -1 (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1)))) (/ 1 (/ (sqrt (- h0 h1)) 1)) (/ -1 (/ (sqrt (- h0 h1)) (+ h0 h1))) (/ 1 (/ (sqrt (- h0 h1)) 1)) (/ -1 (/ (sqrt (- h0 h1)) (+ h0 h1))) (/ 1 (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ (- h0 h1) (cbrt (+ h0 h1)))) (/ 1 (/ 1 (sqrt (+ h0 h1)))) (/ -1 (/ (- h0 h1) (sqrt (+ h0 h1)))) (/ 1 (/ 1 1)) (/ -1 (/ (- h0 h1) (+ h0 h1))) (/ 1 (/ 1 1)) (/ -1 (/ (- h0 h1) (+ h0 h1))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ (- (sqrt h0) (sqrt h1)) (cbrt (+ h0 h1)))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (/ -1 (/ (- (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ -1 (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ -1 (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1))) (/ 1 (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ (- h0 h1) (cbrt (+ h0 h1)))) (/ 1 (/ 1 (sqrt (+ h0 h1)))) (/ -1 (/ (- h0 h1) (sqrt (+ h0 h1)))) (/ 1 (/ 1 1)) (/ -1 (/ (- h0 h1) (+ h0 h1))) (/ 1 (/ 1 1)) (/ -1 (/ (- h0 h1) (+ h0 h1))) (/ 1 1) (/ -1 (/ (- h0 h1) (+ h0 h1))) (/ 1 (- h0 h1)) (/ -1 (/ 1 (+ h0 h1))) (/ 1 (/ (- h0 h1) (+ (pow h0 3) (pow h1 3)))) (/ -1 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (/ 1 (/ (- h0 h1) (- (* h0 h0) (* h1 h1)))) (/ -1 (- h0 h1)) (/ 1 (/ (- h0 h1) (+ h0 h1))) (/ (/ (- h0 h1) (+ h0 h1)) -1) (/ -1 (* (cbrt (/ (- h0 h1) (+ h0 h1))) (cbrt (/ (- h0 h1) (+ h0 h1))))) (/ -1 (sqrt (/ (- h0 h1) (+ h0 h1)))) (/ -1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (sqrt (+ h0 h1)))) (/ -1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ -1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ -1 (/ (sqrt (- h0 h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1)))) (/ -1 (/ (sqrt (- h0 h1)) 1)) (/ -1 (/ (sqrt (- h0 h1)) 1)) (/ -1 (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ 1 (sqrt (+ h0 h1)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ (+ (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (/ -1 (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ -1 (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ -1 (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ 1 (sqrt (+ h0 h1)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 1) (/ -1 (- h0 h1)) (/ -1 (/ (- h0 h1) (+ (pow h0 3) (pow h1 3)))) (/ -1 (/ (- h0 h1) (- (* h0 h0) (* h1 h1)))) (/ (/ (- h0 h1) (+ h0 h1)) (cbrt -1)) (/ (/ (- h0 h1) (+ h0 h1)) (sqrt -1)) (/ (/ (- h0 h1) (+ h0 h1)) -1) (/ -1 (- h0 h1)) -1 1 1 1 -1 -1 0.908 * * [simplify]: iteration 0 : 523 enodes (cost 1449 ) 0.918 * * [simplify]: iteration 1 : 2545 enodes (cost 1405 ) 0.960 * * [simplify]: iteration 2 : 5001 enodes (cost 1287 ) 0.966 * * * [progress]: adding candidates to table 1.186 * * [progress]: iteration 3 / 4 1.186 * * * [progress]: picking best candidate 1.190 * * * * [pick]: Picked # 1.190 * * * [progress]: localizing error 1.198 * * * [progress]: generating rewritten candidates 1.198 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.232 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.256 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.291 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.354 * * * [progress]: generating series expansions 1.354 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.355 * [backup-simplify]: Simplify (pow (/ -1 (/ (- f n) (+ f n))) 3) into (pow (* -1 (/ (+ n f) (- f n))) 3) 1.355 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in (f n) around 0 1.355 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in n 1.355 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.355 * [taylor]: Taking taylor expansion of -1 in n 1.355 * [backup-simplify]: Simplify -1 into -1 1.355 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.355 * [taylor]: Taking taylor expansion of (+ n f) in n 1.355 * [taylor]: Taking taylor expansion of n in n 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [taylor]: Taking taylor expansion of f in n 1.355 * [backup-simplify]: Simplify f into f 1.355 * [taylor]: Taking taylor expansion of (- f n) in n 1.355 * [taylor]: Taking taylor expansion of f in n 1.355 * [backup-simplify]: Simplify f into f 1.355 * [taylor]: Taking taylor expansion of n in n 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [backup-simplify]: Simplify (+ 0 f) into f 1.356 * [backup-simplify]: Simplify (- 0) into 0 1.356 * [backup-simplify]: Simplify (+ f 0) into f 1.356 * [backup-simplify]: Simplify (/ f f) into 1 1.356 * [backup-simplify]: Simplify (* -1 1) into -1 1.356 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 1.356 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.356 * [taylor]: Taking taylor expansion of -1 in f 1.356 * [backup-simplify]: Simplify -1 into -1 1.356 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.356 * [taylor]: Taking taylor expansion of (+ n f) in f 1.356 * [taylor]: Taking taylor expansion of n in f 1.356 * [backup-simplify]: Simplify n into n 1.356 * [taylor]: Taking taylor expansion of f in f 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 1 into 1 1.356 * [taylor]: Taking taylor expansion of (- f n) in f 1.356 * [taylor]: Taking taylor expansion of f in f 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 1 into 1 1.356 * [taylor]: Taking taylor expansion of n in f 1.356 * [backup-simplify]: Simplify n into n 1.356 * [backup-simplify]: Simplify (+ n 0) into n 1.356 * [backup-simplify]: Simplify (- n) into (- n) 1.356 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.356 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.357 * [backup-simplify]: Simplify (* -1 -1) into 1 1.357 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 1.357 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.357 * [taylor]: Taking taylor expansion of -1 in f 1.357 * [backup-simplify]: Simplify -1 into -1 1.357 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.357 * [taylor]: Taking taylor expansion of (+ n f) in f 1.357 * [taylor]: Taking taylor expansion of n in f 1.357 * [backup-simplify]: Simplify n into n 1.357 * [taylor]: Taking taylor expansion of f in f 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [taylor]: Taking taylor expansion of (- f n) in f 1.357 * [taylor]: Taking taylor expansion of f in f 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [taylor]: Taking taylor expansion of n in f 1.357 * [backup-simplify]: Simplify n into n 1.357 * [backup-simplify]: Simplify (+ n 0) into n 1.357 * [backup-simplify]: Simplify (- n) into (- n) 1.357 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.357 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.357 * [backup-simplify]: Simplify (* -1 -1) into 1 1.358 * [backup-simplify]: Simplify (* 1 1) into 1 1.358 * [backup-simplify]: Simplify (* 1 1) into 1 1.358 * [taylor]: Taking taylor expansion of 1 in n 1.358 * [backup-simplify]: Simplify 1 into 1 1.358 * [backup-simplify]: Simplify 1 into 1 1.358 * [backup-simplify]: Simplify (+ 0 1) into 1 1.358 * [backup-simplify]: Simplify (- 0) into 0 1.359 * [backup-simplify]: Simplify (+ 1 0) into 1 1.359 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.359 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.359 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 4 (/ 1 n)) 1.359 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 6 (/ 1 n)) 1.359 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 1.359 * [taylor]: Taking taylor expansion of 6 in n 1.359 * [backup-simplify]: Simplify 6 into 6 1.359 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.359 * [taylor]: Taking taylor expansion of n in n 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 1 into 1 1.360 * [backup-simplify]: Simplify (/ 1 1) into 1 1.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.361 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify (+ 0 0) into 0 1.361 * [backup-simplify]: Simplify (- 0) into 0 1.361 * [backup-simplify]: Simplify (+ 0 0) into 0 1.361 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.362 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.362 * [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))) 1.363 * [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))) 1.363 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 1.363 * [taylor]: Taking taylor expansion of 18 in n 1.363 * [backup-simplify]: Simplify 18 into 18 1.363 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.363 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.363 * [taylor]: Taking taylor expansion of n in n 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 1 into 1 1.363 * [backup-simplify]: Simplify (* 1 1) into 1 1.363 * [backup-simplify]: Simplify (/ 1 1) into 1 1.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.372 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify (+ 0 0) into 0 1.373 * [backup-simplify]: Simplify (- 0) into 0 1.374 * [backup-simplify]: Simplify (+ 0 0) into 0 1.374 * [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)))) 1.375 * [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))) 1.375 * [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))) 1.376 * [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))) 1.376 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 1.376 * [taylor]: Taking taylor expansion of 38 in n 1.376 * [backup-simplify]: Simplify 38 into 38 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.376 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.376 * [taylor]: Taking taylor expansion of n in n 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.376 * [backup-simplify]: Simplify (* 1 1) into 1 1.376 * [backup-simplify]: Simplify (* 1 1) into 1 1.377 * [backup-simplify]: Simplify (/ 1 1) into 1 1.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.381 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 1 into 1 1.382 * [backup-simplify]: Simplify (pow (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 3) into (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) 1.382 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in (f n) around 0 1.382 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in n 1.382 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.382 * [taylor]: Taking taylor expansion of -1 in n 1.382 * [backup-simplify]: Simplify -1 into -1 1.382 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.382 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.382 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.382 * [taylor]: Taking taylor expansion of f in n 1.382 * [backup-simplify]: Simplify f into f 1.382 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.382 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.382 * [taylor]: Taking taylor expansion of n in n 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 1 into 1 1.382 * [backup-simplify]: Simplify (/ 1 1) into 1 1.382 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.382 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.382 * [taylor]: Taking taylor expansion of f in n 1.382 * [backup-simplify]: Simplify f into f 1.382 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.382 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.382 * [taylor]: Taking taylor expansion of n in n 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 1 into 1 1.383 * [backup-simplify]: Simplify (/ 1 1) into 1 1.383 * [backup-simplify]: Simplify (+ 0 1) into 1 1.383 * [backup-simplify]: Simplify (- 1) into -1 1.383 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.384 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.384 * [backup-simplify]: Simplify (* -1 -1) into 1 1.384 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 1.384 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.384 * [taylor]: Taking taylor expansion of -1 in f 1.384 * [backup-simplify]: Simplify -1 into -1 1.384 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.384 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.384 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.384 * [taylor]: Taking taylor expansion of f in f 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 1 into 1 1.384 * [backup-simplify]: Simplify (/ 1 1) into 1 1.384 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.384 * [taylor]: Taking taylor expansion of n in f 1.384 * [backup-simplify]: Simplify n into n 1.384 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.384 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.384 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.384 * [taylor]: Taking taylor expansion of f in f 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 1 into 1 1.385 * [backup-simplify]: Simplify (/ 1 1) into 1 1.385 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.385 * [taylor]: Taking taylor expansion of n in f 1.385 * [backup-simplify]: Simplify n into n 1.385 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.385 * [backup-simplify]: Simplify (+ 1 0) into 1 1.385 * [backup-simplify]: Simplify (+ 1 0) into 1 1.385 * [backup-simplify]: Simplify (/ 1 1) into 1 1.386 * [backup-simplify]: Simplify (* -1 1) into -1 1.386 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 1.386 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.386 * [taylor]: Taking taylor expansion of -1 in f 1.386 * [backup-simplify]: Simplify -1 into -1 1.386 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.386 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.386 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.386 * [taylor]: Taking taylor expansion of f in f 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.386 * [backup-simplify]: Simplify (/ 1 1) into 1 1.386 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.386 * [taylor]: Taking taylor expansion of n in f 1.386 * [backup-simplify]: Simplify n into n 1.386 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.386 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.386 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.386 * [taylor]: Taking taylor expansion of f in f 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.387 * [backup-simplify]: Simplify (/ 1 1) into 1 1.387 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.387 * [taylor]: Taking taylor expansion of n in f 1.387 * [backup-simplify]: Simplify n into n 1.387 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.387 * [backup-simplify]: Simplify (+ 1 0) into 1 1.387 * [backup-simplify]: Simplify (+ 1 0) into 1 1.387 * [backup-simplify]: Simplify (/ 1 1) into 1 1.388 * [backup-simplify]: Simplify (* -1 1) into -1 1.388 * [backup-simplify]: Simplify (* -1 -1) into 1 1.388 * [backup-simplify]: Simplify (* -1 1) into -1 1.388 * [taylor]: Taking taylor expansion of -1 in n 1.388 * [backup-simplify]: Simplify -1 into -1 1.388 * [backup-simplify]: Simplify -1 into -1 1.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.389 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.389 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.389 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.389 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.390 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.390 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) 1.390 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 n))) (* (- (* 2 (/ 1 n))) 1)) into (- (* 6 (/ 1 n))) 1.390 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 1.390 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 1.390 * [taylor]: Taking taylor expansion of 6 in n 1.390 * [backup-simplify]: Simplify 6 into 6 1.390 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.390 * [taylor]: Taking taylor expansion of n in n 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [backup-simplify]: Simplify (/ 1 1) into 1 1.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.391 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 1.391 * [backup-simplify]: Simplify (- 0) into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.392 * [backup-simplify]: Simplify (+ 0 0) into 0 1.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.393 * [backup-simplify]: Simplify (- 0) into 0 1.393 * [backup-simplify]: Simplify (+ 0 0) into 0 1.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.394 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.395 * [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))) 1.395 * [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)))) 1.395 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 1.395 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 1.395 * [taylor]: Taking taylor expansion of 18 in n 1.395 * [backup-simplify]: Simplify 18 into 18 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.395 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.395 * [taylor]: Taking taylor expansion of n in n 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.396 * [backup-simplify]: Simplify (* 1 1) into 1 1.396 * [backup-simplify]: Simplify (/ 1 1) into 1 1.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.398 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 1.398 * [backup-simplify]: Simplify (- 0) into 0 1.398 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.399 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 1.400 * [backup-simplify]: Simplify (- 0) into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.401 * [backup-simplify]: Simplify (+ 0 0) into 0 1.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.401 * [backup-simplify]: Simplify (- 0) into 0 1.402 * [backup-simplify]: Simplify (+ 0 0) into 0 1.403 * [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))) 1.403 * [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)))) 1.404 * [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))) 1.404 * [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)))) 1.404 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 1.404 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 1.404 * [taylor]: Taking taylor expansion of 38 in n 1.404 * [backup-simplify]: Simplify 38 into 38 1.404 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.404 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.404 * [taylor]: Taking taylor expansion of n in n 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.405 * [backup-simplify]: Simplify (* 1 1) into 1 1.405 * [backup-simplify]: Simplify (* 1 1) into 1 1.405 * [backup-simplify]: Simplify (/ 1 1) into 1 1.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.410 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.410 * [backup-simplify]: Simplify (- 0) into 0 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify -1 into -1 1.411 * [backup-simplify]: Simplify (pow (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) 3) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) 1.411 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in (f n) around 0 1.411 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in n 1.411 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.411 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.411 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.411 * [taylor]: Taking taylor expansion of f in n 1.411 * [backup-simplify]: Simplify f into f 1.411 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.411 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.411 * [taylor]: Taking taylor expansion of n in n 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 1 into 1 1.411 * [backup-simplify]: Simplify (/ 1 1) into 1 1.411 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.411 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.411 * [taylor]: Taking taylor expansion of n in n 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 1 into 1 1.411 * [backup-simplify]: Simplify (/ 1 1) into 1 1.411 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.411 * [taylor]: Taking taylor expansion of f in n 1.411 * [backup-simplify]: Simplify f into f 1.411 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.412 * [backup-simplify]: Simplify (+ 0 1) into 1 1.412 * [backup-simplify]: Simplify (+ 1 0) into 1 1.412 * [backup-simplify]: Simplify (/ 1 1) into 1 1.412 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 1.412 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.412 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.413 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.413 * [taylor]: Taking taylor expansion of f in f 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [backup-simplify]: Simplify (/ 1 1) into 1 1.413 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.413 * [taylor]: Taking taylor expansion of n in f 1.413 * [backup-simplify]: Simplify n into n 1.413 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.413 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.413 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.413 * [taylor]: Taking taylor expansion of n in f 1.413 * [backup-simplify]: Simplify n into n 1.413 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.413 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.413 * [taylor]: Taking taylor expansion of f in f 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [backup-simplify]: Simplify (/ 1 1) into 1 1.414 * [backup-simplify]: Simplify (+ 1 0) into 1 1.414 * [backup-simplify]: Simplify (- 1) into -1 1.414 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.414 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.414 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 1.414 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.414 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.414 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.414 * [taylor]: Taking taylor expansion of f in f 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 1 into 1 1.415 * [backup-simplify]: Simplify (/ 1 1) into 1 1.415 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.415 * [taylor]: Taking taylor expansion of n in f 1.415 * [backup-simplify]: Simplify n into n 1.415 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.415 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.415 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.415 * [taylor]: Taking taylor expansion of n in f 1.415 * [backup-simplify]: Simplify n into n 1.415 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.415 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.415 * [taylor]: Taking taylor expansion of f in f 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [backup-simplify]: Simplify (/ 1 1) into 1 1.415 * [backup-simplify]: Simplify (+ 1 0) into 1 1.416 * [backup-simplify]: Simplify (- 1) into -1 1.416 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.416 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.416 * [backup-simplify]: Simplify (* -1 -1) into 1 1.417 * [backup-simplify]: Simplify (* -1 1) into -1 1.417 * [taylor]: Taking taylor expansion of -1 in n 1.417 * [backup-simplify]: Simplify -1 into -1 1.417 * [backup-simplify]: Simplify -1 into -1 1.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.417 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.418 * [backup-simplify]: Simplify (- 0) into 0 1.418 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.418 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.418 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) 1.418 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 n))) (* (- (* 2 (/ 1 n))) 1)) into (- (* 6 (/ 1 n))) 1.418 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 1.418 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 1.418 * [taylor]: Taking taylor expansion of 6 in n 1.418 * [backup-simplify]: Simplify 6 into 6 1.418 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.418 * [taylor]: Taking taylor expansion of n in n 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 1 into 1 1.419 * [backup-simplify]: Simplify (/ 1 1) into 1 1.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 1.420 * [backup-simplify]: Simplify (- 0) into 0 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.420 * [backup-simplify]: Simplify (+ 0 0) into 0 1.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.421 * [backup-simplify]: Simplify (- 0) into 0 1.422 * [backup-simplify]: Simplify (+ 0 0) into 0 1.422 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.423 * [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))) 1.423 * [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)))) 1.423 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 1.423 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 1.423 * [taylor]: Taking taylor expansion of 18 in n 1.423 * [backup-simplify]: Simplify 18 into 18 1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.423 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.423 * [taylor]: Taking taylor expansion of n in n 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.423 * [backup-simplify]: Simplify (* 1 1) into 1 1.424 * [backup-simplify]: Simplify (/ 1 1) into 1 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.426 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 1.426 * [backup-simplify]: Simplify (- 0) into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.427 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 1.427 * [backup-simplify]: Simplify (- 0) into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.428 * [backup-simplify]: Simplify (+ 0 0) into 0 1.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.429 * [backup-simplify]: Simplify (- 0) into 0 1.430 * [backup-simplify]: Simplify (+ 0 0) into 0 1.431 * [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)))) 1.431 * [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))) 1.432 * [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)))) 1.432 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 1.432 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 1.432 * [taylor]: Taking taylor expansion of 38 in n 1.432 * [backup-simplify]: Simplify 38 into 38 1.432 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.432 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.432 * [taylor]: Taking taylor expansion of n in n 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 1 into 1 1.432 * [backup-simplify]: Simplify (* 1 1) into 1 1.432 * [backup-simplify]: Simplify (* 1 1) into 1 1.433 * [backup-simplify]: Simplify (/ 1 1) into 1 1.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.437 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.438 * [backup-simplify]: Simplify (- 0) into 0 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify -1 into -1 1.438 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.438 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 1.438 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 1.438 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.438 * [taylor]: Taking taylor expansion of (- f n) in n 1.438 * [taylor]: Taking taylor expansion of f in n 1.438 * [backup-simplify]: Simplify f into f 1.438 * [taylor]: Taking taylor expansion of n in n 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 1 into 1 1.438 * [taylor]: Taking taylor expansion of (+ n f) in n 1.438 * [taylor]: Taking taylor expansion of n in n 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 1 into 1 1.438 * [taylor]: Taking taylor expansion of f in n 1.438 * [backup-simplify]: Simplify f into f 1.438 * [backup-simplify]: Simplify (- 0) into 0 1.438 * [backup-simplify]: Simplify (+ f 0) into f 1.438 * [backup-simplify]: Simplify (+ 0 f) into f 1.439 * [backup-simplify]: Simplify (/ f f) into 1 1.439 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.439 * [taylor]: Taking taylor expansion of (- f n) in f 1.439 * [taylor]: Taking taylor expansion of f in f 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 1 into 1 1.439 * [taylor]: Taking taylor expansion of n in f 1.439 * [backup-simplify]: Simplify n into n 1.439 * [taylor]: Taking taylor expansion of (+ n f) in f 1.439 * [taylor]: Taking taylor expansion of n in f 1.439 * [backup-simplify]: Simplify n into n 1.439 * [taylor]: Taking taylor expansion of f in f 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 1 into 1 1.439 * [backup-simplify]: Simplify (- n) into (- n) 1.439 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.439 * [backup-simplify]: Simplify (+ n 0) into n 1.439 * [backup-simplify]: Simplify (/ (- n) n) into -1 1.439 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.439 * [taylor]: Taking taylor expansion of (- f n) in f 1.439 * [taylor]: Taking taylor expansion of f in f 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 1 into 1 1.439 * [taylor]: Taking taylor expansion of n in f 1.439 * [backup-simplify]: Simplify n into n 1.439 * [taylor]: Taking taylor expansion of (+ n f) in f 1.439 * [taylor]: Taking taylor expansion of n in f 1.439 * [backup-simplify]: Simplify n into n 1.439 * [taylor]: Taking taylor expansion of f in f 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 1 into 1 1.439 * [backup-simplify]: Simplify (- n) into (- n) 1.439 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.439 * [backup-simplify]: Simplify (+ n 0) into n 1.439 * [backup-simplify]: Simplify (/ (- n) n) into -1 1.439 * [taylor]: Taking taylor expansion of -1 in n 1.439 * [backup-simplify]: Simplify -1 into -1 1.439 * [backup-simplify]: Simplify -1 into -1 1.440 * [backup-simplify]: Simplify (- 0) into 0 1.440 * [backup-simplify]: Simplify (+ 1 0) into 1 1.440 * [backup-simplify]: Simplify (+ 0 1) into 1 1.440 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 1.440 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.440 * [taylor]: Taking taylor expansion of 2 in n 1.440 * [backup-simplify]: Simplify 2 into 2 1.440 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.440 * [taylor]: Taking taylor expansion of n in n 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 1 into 1 1.441 * [backup-simplify]: Simplify (/ 1 1) into 1 1.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify (- 0) into 0 1.442 * [backup-simplify]: Simplify (+ 0 0) into 0 1.442 * [backup-simplify]: Simplify (+ 0 0) into 0 1.442 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 1.442 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.442 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.442 * [taylor]: Taking taylor expansion of 2 in n 1.442 * [backup-simplify]: Simplify 2 into 2 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.443 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.443 * [taylor]: Taking taylor expansion of n in n 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 1 into 1 1.443 * [backup-simplify]: Simplify (* 1 1) into 1 1.443 * [backup-simplify]: Simplify (/ 1 1) into 1 1.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.445 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.446 * [backup-simplify]: Simplify (- 0) into 0 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.447 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify (- 0) into 0 1.447 * [backup-simplify]: Simplify (+ 0 0) into 0 1.447 * [backup-simplify]: Simplify (+ 0 0) into 0 1.448 * [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))) 1.448 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.448 * [taylor]: Taking taylor expansion of 2 in n 1.448 * [backup-simplify]: Simplify 2 into 2 1.448 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.448 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.448 * [taylor]: Taking taylor expansion of n in n 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 1 into 1 1.448 * [backup-simplify]: Simplify (* 1 1) into 1 1.448 * [backup-simplify]: Simplify (* 1 1) into 1 1.449 * [backup-simplify]: Simplify (/ 1 1) into 1 1.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.453 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify -1 into -1 1.454 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 1.454 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 1.454 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.454 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.454 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.454 * [taylor]: Taking taylor expansion of f in n 1.454 * [backup-simplify]: Simplify f into f 1.454 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.454 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.454 * [taylor]: Taking taylor expansion of n in n 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify (/ 1 1) into 1 1.454 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.454 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.454 * [taylor]: Taking taylor expansion of f in n 1.454 * [backup-simplify]: Simplify f into f 1.454 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.454 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.454 * [taylor]: Taking taylor expansion of n in n 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify (/ 1 1) into 1 1.455 * [backup-simplify]: Simplify (- 1) into -1 1.455 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.455 * [backup-simplify]: Simplify (+ 0 1) into 1 1.455 * [backup-simplify]: Simplify (/ -1 1) into -1 1.455 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.455 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.455 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.455 * [taylor]: Taking taylor expansion of f in f 1.456 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify 1 into 1 1.456 * [backup-simplify]: Simplify (/ 1 1) into 1 1.456 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.456 * [taylor]: Taking taylor expansion of n in f 1.456 * [backup-simplify]: Simplify n into n 1.456 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.456 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.456 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.456 * [taylor]: Taking taylor expansion of f in f 1.456 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify 1 into 1 1.456 * [backup-simplify]: Simplify (/ 1 1) into 1 1.456 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.456 * [taylor]: Taking taylor expansion of n in f 1.456 * [backup-simplify]: Simplify n into n 1.456 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.456 * [backup-simplify]: Simplify (+ 1 0) into 1 1.457 * [backup-simplify]: Simplify (+ 1 0) into 1 1.457 * [backup-simplify]: Simplify (/ 1 1) into 1 1.457 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.457 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.457 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.457 * [taylor]: Taking taylor expansion of f in f 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.457 * [backup-simplify]: Simplify (/ 1 1) into 1 1.457 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.457 * [taylor]: Taking taylor expansion of n in f 1.457 * [backup-simplify]: Simplify n into n 1.457 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.457 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.457 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.457 * [taylor]: Taking taylor expansion of f in f 1.457 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 1 into 1 1.458 * [backup-simplify]: Simplify (/ 1 1) into 1 1.458 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.458 * [taylor]: Taking taylor expansion of n in f 1.458 * [backup-simplify]: Simplify n into n 1.458 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.458 * [backup-simplify]: Simplify (+ 1 0) into 1 1.458 * [backup-simplify]: Simplify (+ 1 0) into 1 1.459 * [backup-simplify]: Simplify (/ 1 1) into 1 1.459 * [taylor]: Taking taylor expansion of 1 in n 1.459 * [backup-simplify]: Simplify 1 into 1 1.459 * [backup-simplify]: Simplify 1 into 1 1.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.459 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.459 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.460 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.460 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 1.460 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.460 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.460 * [taylor]: Taking taylor expansion of 2 in n 1.460 * [backup-simplify]: Simplify 2 into 2 1.460 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.460 * [taylor]: Taking taylor expansion of n in n 1.460 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify 1 into 1 1.460 * [backup-simplify]: Simplify (/ 1 1) into 1 1.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.461 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.461 * [backup-simplify]: Simplify (- 0) into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.462 * [backup-simplify]: Simplify (- 0) into 0 1.463 * [backup-simplify]: Simplify (+ 0 0) into 0 1.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.465 * [backup-simplify]: Simplify (+ 0 0) into 0 1.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 1.466 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.466 * [taylor]: Taking taylor expansion of 2 in n 1.466 * [backup-simplify]: Simplify 2 into 2 1.466 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.466 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.466 * [taylor]: Taking taylor expansion of n in n 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 1 into 1 1.467 * [backup-simplify]: Simplify (* 1 1) into 1 1.467 * [backup-simplify]: Simplify (/ 1 1) into 1 1.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.469 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.470 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.471 * [backup-simplify]: Simplify (- 0) into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.471 * [backup-simplify]: Simplify (- 0) into 0 1.472 * [backup-simplify]: Simplify (+ 0 0) into 0 1.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.473 * [backup-simplify]: Simplify (+ 0 0) into 0 1.474 * [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)))) 1.474 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.474 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.474 * [taylor]: Taking taylor expansion of 2 in n 1.474 * [backup-simplify]: Simplify 2 into 2 1.474 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.474 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.474 * [taylor]: Taking taylor expansion of n in n 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 1 into 1 1.474 * [backup-simplify]: Simplify (* 1 1) into 1 1.474 * [backup-simplify]: Simplify (* 1 1) into 1 1.474 * [backup-simplify]: Simplify (/ 1 1) into 1 1.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (- 0) into 0 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 1 into 1 1.480 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1.480 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 1.480 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 1.480 * [taylor]: Taking taylor expansion of -1 in n 1.480 * [backup-simplify]: Simplify -1 into -1 1.480 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.480 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.480 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.480 * [taylor]: Taking taylor expansion of n in n 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [backup-simplify]: Simplify 1 into 1 1.480 * [backup-simplify]: Simplify (/ 1 1) into 1 1.480 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.480 * [taylor]: Taking taylor expansion of f in n 1.480 * [backup-simplify]: Simplify f into f 1.480 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.480 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.480 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.480 * [taylor]: Taking taylor expansion of f in n 1.480 * [backup-simplify]: Simplify f into f 1.480 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.480 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.480 * [taylor]: Taking taylor expansion of n in n 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [backup-simplify]: Simplify 1 into 1 1.481 * [backup-simplify]: Simplify (/ 1 1) into 1 1.481 * [backup-simplify]: Simplify (+ 1 0) into 1 1.481 * [backup-simplify]: Simplify (+ 0 1) into 1 1.481 * [backup-simplify]: Simplify (/ 1 1) into 1 1.481 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.481 * [taylor]: Taking taylor expansion of -1 in f 1.481 * [backup-simplify]: Simplify -1 into -1 1.481 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.481 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.481 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.481 * [taylor]: Taking taylor expansion of n in f 1.481 * [backup-simplify]: Simplify n into n 1.482 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.482 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.482 * [taylor]: Taking taylor expansion of f in f 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 1 into 1 1.482 * [backup-simplify]: Simplify (/ 1 1) into 1 1.482 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.482 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.482 * [taylor]: Taking taylor expansion of f in f 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 1 into 1 1.482 * [backup-simplify]: Simplify (/ 1 1) into 1 1.482 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.482 * [taylor]: Taking taylor expansion of n in f 1.482 * [backup-simplify]: Simplify n into n 1.482 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.482 * [backup-simplify]: Simplify (- 1) into -1 1.483 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.483 * [backup-simplify]: Simplify (+ 1 0) into 1 1.483 * [backup-simplify]: Simplify (/ -1 1) into -1 1.483 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.483 * [taylor]: Taking taylor expansion of -1 in f 1.483 * [backup-simplify]: Simplify -1 into -1 1.483 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.483 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.483 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.483 * [taylor]: Taking taylor expansion of n in f 1.483 * [backup-simplify]: Simplify n into n 1.483 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.483 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.483 * [taylor]: Taking taylor expansion of f in f 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify 1 into 1 1.484 * [backup-simplify]: Simplify (/ 1 1) into 1 1.484 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.484 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.484 * [taylor]: Taking taylor expansion of f in f 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify 1 into 1 1.484 * [backup-simplify]: Simplify (/ 1 1) into 1 1.484 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.484 * [taylor]: Taking taylor expansion of n in f 1.484 * [backup-simplify]: Simplify n into n 1.484 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.484 * [backup-simplify]: Simplify (- 1) into -1 1.485 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.485 * [backup-simplify]: Simplify (+ 1 0) into 1 1.485 * [backup-simplify]: Simplify (/ -1 1) into -1 1.485 * [backup-simplify]: Simplify (* -1 -1) into 1 1.485 * [taylor]: Taking taylor expansion of 1 in n 1.485 * [backup-simplify]: Simplify 1 into 1 1.485 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.486 * [backup-simplify]: Simplify (- 0) into 0 1.486 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.487 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.487 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 1.487 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 1.487 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.487 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.487 * [taylor]: Taking taylor expansion of 2 in n 1.487 * [backup-simplify]: Simplify 2 into 2 1.487 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.487 * [taylor]: Taking taylor expansion of n in n 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.487 * [backup-simplify]: Simplify (/ 1 1) into 1 1.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.488 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.488 * [backup-simplify]: Simplify (- 0) into 0 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.489 * [backup-simplify]: Simplify (- 0) into 0 1.489 * [backup-simplify]: Simplify (+ 0 0) into 0 1.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.490 * [backup-simplify]: Simplify (+ 0 0) into 0 1.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.491 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.491 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.491 * [taylor]: Taking taylor expansion of 2 in n 1.491 * [backup-simplify]: Simplify 2 into 2 1.491 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.491 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.491 * [taylor]: Taking taylor expansion of n in n 1.491 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 1 into 1 1.492 * [backup-simplify]: Simplify (* 1 1) into 1 1.492 * [backup-simplify]: Simplify (/ 1 1) into 1 1.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.495 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.495 * [backup-simplify]: Simplify (- 0) into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.496 * [backup-simplify]: Simplify (- 0) into 0 1.497 * [backup-simplify]: Simplify (+ 0 0) into 0 1.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.497 * [backup-simplify]: Simplify (+ 0 0) into 0 1.499 * [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))) 1.499 * [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)))) 1.499 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.499 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.499 * [taylor]: Taking taylor expansion of 2 in n 1.499 * [backup-simplify]: Simplify 2 into 2 1.499 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.499 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.499 * [taylor]: Taking taylor expansion of n in n 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (* 1 1) into 1 1.500 * [backup-simplify]: Simplify (* 1 1) into 1 1.500 * [backup-simplify]: Simplify (/ 1 1) into 1 1.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.505 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.505 * [backup-simplify]: Simplify (- 0) into 0 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify 1 into 1 1.505 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.506 * [backup-simplify]: Simplify (cbrt (pow (/ -1 (/ (- f n) (+ f n))) 3)) into (/ (* (cbrt -1) (+ n f)) (- f n)) 1.506 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0 1.506 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 1.506 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 1.506 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.506 * [taylor]: Taking taylor expansion of -1 in n 1.506 * [backup-simplify]: Simplify -1 into -1 1.506 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.507 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.507 * [taylor]: Taking taylor expansion of (+ n f) in n 1.507 * [taylor]: Taking taylor expansion of n in n 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 1 into 1 1.507 * [taylor]: Taking taylor expansion of f in n 1.507 * [backup-simplify]: Simplify f into f 1.507 * [taylor]: Taking taylor expansion of (- f n) in n 1.507 * [taylor]: Taking taylor expansion of f in n 1.507 * [backup-simplify]: Simplify f into f 1.507 * [taylor]: Taking taylor expansion of n in n 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 1 into 1 1.507 * [backup-simplify]: Simplify (+ 0 f) into f 1.507 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 1.507 * [backup-simplify]: Simplify (- 0) into 0 1.507 * [backup-simplify]: Simplify (+ f 0) into f 1.508 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 1.508 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 1.508 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 1.508 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.508 * [taylor]: Taking taylor expansion of -1 in f 1.508 * [backup-simplify]: Simplify -1 into -1 1.508 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.509 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.509 * [taylor]: Taking taylor expansion of (+ n f) in f 1.509 * [taylor]: Taking taylor expansion of n in f 1.509 * [backup-simplify]: Simplify n into n 1.509 * [taylor]: Taking taylor expansion of f in f 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 1 into 1 1.509 * [taylor]: Taking taylor expansion of (- f n) in f 1.509 * [taylor]: Taking taylor expansion of f in f 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 1 into 1 1.509 * [taylor]: Taking taylor expansion of n in f 1.509 * [backup-simplify]: Simplify n into n 1.509 * [backup-simplify]: Simplify (+ n 0) into n 1.509 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 1.509 * [backup-simplify]: Simplify (- n) into (- n) 1.509 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.509 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 1.510 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 1.510 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 1.510 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.510 * [taylor]: Taking taylor expansion of -1 in f 1.510 * [backup-simplify]: Simplify -1 into -1 1.510 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.510 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.510 * [taylor]: Taking taylor expansion of (+ n f) in f 1.510 * [taylor]: Taking taylor expansion of n in f 1.510 * [backup-simplify]: Simplify n into n 1.510 * [taylor]: Taking taylor expansion of f in f 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 1 into 1 1.510 * [taylor]: Taking taylor expansion of (- f n) in f 1.510 * [taylor]: Taking taylor expansion of f in f 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 1 into 1 1.510 * [taylor]: Taking taylor expansion of n in f 1.510 * [backup-simplify]: Simplify n into n 1.510 * [backup-simplify]: Simplify (+ n 0) into n 1.511 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 1.511 * [backup-simplify]: Simplify (- n) into (- n) 1.511 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.511 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 1.511 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n 1.511 * [taylor]: Taking taylor expansion of -1 in n 1.511 * [backup-simplify]: Simplify -1 into -1 1.511 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.511 * [taylor]: Taking taylor expansion of -1 in n 1.511 * [backup-simplify]: Simplify -1 into -1 1.512 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.512 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.513 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 1.513 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 1.514 * [backup-simplify]: Simplify (+ 0 1) into 1 1.514 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 n)) into (cbrt -1) 1.514 * [backup-simplify]: Simplify (- 0) into 0 1.515 * [backup-simplify]: Simplify (+ 1 0) into 1 1.516 * [backup-simplify]: Simplify (- (/ (cbrt -1) (- n)) (+ (* (* -1 (cbrt -1)) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) n))) 1.516 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n 1.516 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 1.516 * [taylor]: Taking taylor expansion of 2 in n 1.516 * [backup-simplify]: Simplify 2 into 2 1.516 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 1.516 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.516 * [taylor]: Taking taylor expansion of -1 in n 1.516 * [backup-simplify]: Simplify -1 into -1 1.516 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.516 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.516 * [taylor]: Taking taylor expansion of n in n 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 1 into 1 1.517 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 1.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 1.518 * [backup-simplify]: Simplify (- 0) into 0 1.518 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify (+ 0 0) into 0 1.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.521 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 n))) into 0 1.521 * [backup-simplify]: Simplify (- 0) into 0 1.521 * [backup-simplify]: Simplify (+ 0 0) into 0 1.522 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 2)))) 1.522 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n 1.522 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 1.522 * [taylor]: Taking taylor expansion of 2 in n 1.522 * [backup-simplify]: Simplify 2 into 2 1.522 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 1.522 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.522 * [taylor]: Taking taylor expansion of -1 in n 1.522 * [backup-simplify]: Simplify -1 into -1 1.523 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.523 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.523 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.523 * [taylor]: Taking taylor expansion of n in n 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 1 into 1 1.523 * [backup-simplify]: Simplify (* 1 1) into 1 1.524 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 1.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 1.528 * [backup-simplify]: Simplify (- 0) into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.530 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 1.530 * [backup-simplify]: Simplify (- 0) into 0 1.530 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.531 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify (+ 0 0) into 0 1.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.533 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 n)))) into 0 1.533 * [backup-simplify]: Simplify (- 0) into 0 1.534 * [backup-simplify]: Simplify (+ 0 0) into 0 1.535 * [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)))) 1.535 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n 1.535 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 1.535 * [taylor]: Taking taylor expansion of 2 in n 1.535 * [backup-simplify]: Simplify 2 into 2 1.535 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 1.535 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.535 * [taylor]: Taking taylor expansion of -1 in n 1.535 * [backup-simplify]: Simplify -1 into -1 1.536 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.536 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.536 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.536 * [taylor]: Taking taylor expansion of n in n 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 1 into 1 1.536 * [backup-simplify]: Simplify (* 1 1) into 1 1.537 * [backup-simplify]: Simplify (* 1 1) into 1 1.537 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 1.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 1.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.544 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 1.545 * [backup-simplify]: Simplify (- 0) into 0 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 1.546 * [backup-simplify]: Simplify (cbrt (pow (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 3)) into (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 1.546 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 1.546 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n 1.546 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in n 1.546 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.546 * [taylor]: Taking taylor expansion of -1 in n 1.546 * [backup-simplify]: Simplify -1 into -1 1.546 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.546 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.546 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.546 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.546 * [taylor]: Taking taylor expansion of f in n 1.546 * [backup-simplify]: Simplify f into f 1.546 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.546 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.546 * [taylor]: Taking taylor expansion of n in n 1.546 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 1 into 1 1.547 * [backup-simplify]: Simplify (/ 1 1) into 1 1.547 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.547 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.547 * [taylor]: Taking taylor expansion of f in n 1.547 * [backup-simplify]: Simplify f into f 1.547 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.547 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.547 * [taylor]: Taking taylor expansion of n in n 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 1 into 1 1.547 * [backup-simplify]: Simplify (/ 1 1) into 1 1.547 * [backup-simplify]: Simplify (+ 0 1) into 1 1.548 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 1.548 * [backup-simplify]: Simplify (- 1) into -1 1.548 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.549 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 1.549 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 1.549 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 1.549 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.549 * [taylor]: Taking taylor expansion of -1 in f 1.549 * [backup-simplify]: Simplify -1 into -1 1.549 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.550 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.550 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.550 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.550 * [taylor]: Taking taylor expansion of f in f 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [backup-simplify]: Simplify (/ 1 1) into 1 1.550 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.550 * [taylor]: Taking taylor expansion of n in f 1.550 * [backup-simplify]: Simplify n into n 1.550 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.550 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.550 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.550 * [taylor]: Taking taylor expansion of f in f 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [backup-simplify]: Simplify (/ 1 1) into 1 1.551 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.551 * [taylor]: Taking taylor expansion of n in f 1.551 * [backup-simplify]: Simplify n into n 1.551 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.551 * [backup-simplify]: Simplify (+ 1 0) into 1 1.551 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 1.552 * [backup-simplify]: Simplify (+ 1 0) into 1 1.552 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 1.552 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 1.552 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 1.552 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.552 * [taylor]: Taking taylor expansion of -1 in f 1.552 * [backup-simplify]: Simplify -1 into -1 1.553 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.553 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.553 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.553 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.553 * [taylor]: Taking taylor expansion of f in f 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [backup-simplify]: Simplify (/ 1 1) into 1 1.553 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.553 * [taylor]: Taking taylor expansion of n in f 1.553 * [backup-simplify]: Simplify n into n 1.553 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.553 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.553 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.553 * [taylor]: Taking taylor expansion of f in f 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (/ 1 1) into 1 1.554 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.554 * [taylor]: Taking taylor expansion of n in f 1.554 * [backup-simplify]: Simplify n into n 1.554 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.554 * [backup-simplify]: Simplify (+ 1 0) into 1 1.555 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 1.555 * [backup-simplify]: Simplify (+ 1 0) into 1 1.555 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 1.556 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.556 * [taylor]: Taking taylor expansion of -1 in n 1.556 * [backup-simplify]: Simplify -1 into -1 1.556 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.556 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.557 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.557 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.560 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 1 n)) (* 0 1)) into (/ (cbrt -1) n) 1.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.561 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.562 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) n) 1) (+ (* (cbrt -1) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) n)) 1.562 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 1.562 * [taylor]: Taking taylor expansion of 2 in n 1.562 * [backup-simplify]: Simplify 2 into 2 1.562 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 1.562 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.562 * [taylor]: Taking taylor expansion of -1 in n 1.562 * [backup-simplify]: Simplify -1 into -1 1.562 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.563 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.563 * [taylor]: Taking taylor expansion of n in n 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 1.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 1.564 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.565 * [backup-simplify]: Simplify (+ 0 0) into 0 1.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.567 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 1.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.567 * [backup-simplify]: Simplify (- 0) into 0 1.568 * [backup-simplify]: Simplify (+ 0 0) into 0 1.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 2))) 1.569 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 1.569 * [taylor]: Taking taylor expansion of 2 in n 1.569 * [backup-simplify]: Simplify 2 into 2 1.569 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 1.569 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.569 * [taylor]: Taking taylor expansion of -1 in n 1.569 * [backup-simplify]: Simplify -1 into -1 1.569 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.570 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.570 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.570 * [taylor]: Taking taylor expansion of n in n 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 1 into 1 1.570 * [backup-simplify]: Simplify (* 1 1) into 1 1.570 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 1.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.574 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 1.574 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.576 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 1.576 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.578 * [backup-simplify]: Simplify (+ 0 0) into 0 1.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.579 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 1.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.580 * [backup-simplify]: Simplify (- 0) into 0 1.580 * [backup-simplify]: Simplify (+ 0 0) into 0 1.582 * [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))) 1.582 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 1.582 * [taylor]: Taking taylor expansion of 2 in n 1.582 * [backup-simplify]: Simplify 2 into 2 1.582 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 1.582 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.582 * [taylor]: Taking taylor expansion of -1 in n 1.582 * [backup-simplify]: Simplify -1 into -1 1.582 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.583 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.583 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.583 * [taylor]: Taking taylor expansion of n in n 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 1 into 1 1.583 * [backup-simplify]: Simplify (* 1 1) into 1 1.583 * [backup-simplify]: Simplify (* 1 1) into 1 1.584 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 1.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 1.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.591 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.591 * [backup-simplify]: Simplify (cbrt (pow (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) 3)) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.591 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.591 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.591 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.591 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.591 * [taylor]: Taking taylor expansion of f in n 1.591 * [backup-simplify]: Simplify f into f 1.591 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.591 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.591 * [taylor]: Taking taylor expansion of n in n 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 1 into 1 1.592 * [backup-simplify]: Simplify (/ 1 1) into 1 1.592 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.592 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.592 * [taylor]: Taking taylor expansion of n in n 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 1 into 1 1.592 * [backup-simplify]: Simplify (/ 1 1) into 1 1.592 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.592 * [taylor]: Taking taylor expansion of f in n 1.592 * [backup-simplify]: Simplify f into f 1.592 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.592 * [backup-simplify]: Simplify (+ 0 1) into 1 1.593 * [backup-simplify]: Simplify (+ 1 0) into 1 1.593 * [backup-simplify]: Simplify (/ 1 1) into 1 1.593 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.593 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.593 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.593 * [taylor]: Taking taylor expansion of f in f 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (/ 1 1) into 1 1.593 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.593 * [taylor]: Taking taylor expansion of n in f 1.593 * [backup-simplify]: Simplify n into n 1.593 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.593 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.593 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.593 * [taylor]: Taking taylor expansion of n in f 1.593 * [backup-simplify]: Simplify n into n 1.593 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.593 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.593 * [taylor]: Taking taylor expansion of f in f 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (/ 1 1) into 1 1.594 * [backup-simplify]: Simplify (+ 1 0) into 1 1.594 * [backup-simplify]: Simplify (- 1) into -1 1.594 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.595 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.595 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.595 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.595 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.595 * [taylor]: Taking taylor expansion of f in f 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.595 * [backup-simplify]: Simplify (/ 1 1) into 1 1.595 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.595 * [taylor]: Taking taylor expansion of n in f 1.595 * [backup-simplify]: Simplify n into n 1.595 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.595 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.595 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.595 * [taylor]: Taking taylor expansion of n in f 1.595 * [backup-simplify]: Simplify n into n 1.595 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.595 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.595 * [taylor]: Taking taylor expansion of f in f 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.595 * [backup-simplify]: Simplify (/ 1 1) into 1 1.596 * [backup-simplify]: Simplify (+ 1 0) into 1 1.596 * [backup-simplify]: Simplify (- 1) into -1 1.596 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.596 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.596 * [taylor]: Taking taylor expansion of -1 in n 1.597 * [backup-simplify]: Simplify -1 into -1 1.597 * [backup-simplify]: Simplify -1 into -1 1.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.598 * [backup-simplify]: Simplify (- 0) into 0 1.598 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.598 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.598 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.598 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.598 * [taylor]: Taking taylor expansion of 2 in n 1.598 * [backup-simplify]: Simplify 2 into 2 1.598 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.598 * [taylor]: Taking taylor expansion of n in n 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [backup-simplify]: Simplify (/ 1 1) into 1 1.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.599 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.599 * [backup-simplify]: Simplify (- 0) into 0 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.600 * [backup-simplify]: Simplify (+ 0 0) into 0 1.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify (- 0) into 0 1.601 * [backup-simplify]: Simplify (+ 0 0) into 0 1.602 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.602 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.602 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.602 * [taylor]: Taking taylor expansion of 2 in n 1.602 * [backup-simplify]: Simplify 2 into 2 1.602 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.602 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.602 * [taylor]: Taking taylor expansion of n in n 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 1 into 1 1.602 * [backup-simplify]: Simplify (* 1 1) into 1 1.602 * [backup-simplify]: Simplify (/ 1 1) into 1 1.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.605 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.605 * [backup-simplify]: Simplify (- 0) into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.606 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.606 * [backup-simplify]: Simplify (- 0) into 0 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.607 * [backup-simplify]: Simplify (+ 0 0) into 0 1.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.608 * [backup-simplify]: Simplify (- 0) into 0 1.608 * [backup-simplify]: Simplify (+ 0 0) into 0 1.609 * [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)))) 1.609 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.609 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.609 * [taylor]: Taking taylor expansion of 2 in n 1.609 * [backup-simplify]: Simplify 2 into 2 1.609 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.609 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.609 * [taylor]: Taking taylor expansion of n in n 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 1 into 1 1.610 * [backup-simplify]: Simplify (* 1 1) into 1 1.610 * [backup-simplify]: Simplify (* 1 1) into 1 1.610 * [backup-simplify]: Simplify (/ 1 1) into 1 1.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.615 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.615 * [backup-simplify]: Simplify (- 0) into 0 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify -1 into -1 1.616 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.616 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 1.616 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.616 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.616 * [taylor]: Taking taylor expansion of -1 in n 1.616 * [backup-simplify]: Simplify -1 into -1 1.616 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.616 * [taylor]: Taking taylor expansion of (+ n f) in n 1.616 * [taylor]: Taking taylor expansion of n in n 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [taylor]: Taking taylor expansion of f in n 1.616 * [backup-simplify]: Simplify f into f 1.616 * [taylor]: Taking taylor expansion of (- f n) in n 1.616 * [taylor]: Taking taylor expansion of f in n 1.616 * [backup-simplify]: Simplify f into f 1.616 * [taylor]: Taking taylor expansion of n in n 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify (+ 0 f) into f 1.616 * [backup-simplify]: Simplify (- 0) into 0 1.616 * [backup-simplify]: Simplify (+ f 0) into f 1.616 * [backup-simplify]: Simplify (/ f f) into 1 1.616 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.616 * [taylor]: Taking taylor expansion of -1 in f 1.616 * [backup-simplify]: Simplify -1 into -1 1.616 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.616 * [taylor]: Taking taylor expansion of (+ n f) in f 1.616 * [taylor]: Taking taylor expansion of n in f 1.616 * [backup-simplify]: Simplify n into n 1.616 * [taylor]: Taking taylor expansion of f in f 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [taylor]: Taking taylor expansion of (- f n) in f 1.616 * [taylor]: Taking taylor expansion of f in f 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [taylor]: Taking taylor expansion of n in f 1.616 * [backup-simplify]: Simplify n into n 1.617 * [backup-simplify]: Simplify (+ n 0) into n 1.617 * [backup-simplify]: Simplify (- n) into (- n) 1.617 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.617 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.617 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.617 * [taylor]: Taking taylor expansion of -1 in f 1.617 * [backup-simplify]: Simplify -1 into -1 1.617 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.617 * [taylor]: Taking taylor expansion of (+ n f) in f 1.617 * [taylor]: Taking taylor expansion of n in f 1.617 * [backup-simplify]: Simplify n into n 1.617 * [taylor]: Taking taylor expansion of f in f 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.617 * [taylor]: Taking taylor expansion of (- f n) in f 1.617 * [taylor]: Taking taylor expansion of f in f 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.617 * [taylor]: Taking taylor expansion of n in f 1.617 * [backup-simplify]: Simplify n into n 1.617 * [backup-simplify]: Simplify (+ n 0) into n 1.617 * [backup-simplify]: Simplify (- n) into (- n) 1.617 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.617 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.617 * [backup-simplify]: Simplify (* -1 -1) into 1 1.617 * [taylor]: Taking taylor expansion of 1 in n 1.617 * [backup-simplify]: Simplify 1 into 1 1.617 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify (+ 0 1) into 1 1.618 * [backup-simplify]: Simplify (- 0) into 0 1.618 * [backup-simplify]: Simplify (+ 1 0) into 1 1.618 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.619 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.619 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.619 * [taylor]: Taking taylor expansion of 2 in n 1.619 * [backup-simplify]: Simplify 2 into 2 1.619 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.619 * [taylor]: Taking taylor expansion of n in n 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (/ 1 1) into 1 1.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.620 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify (+ 0 0) into 0 1.620 * [backup-simplify]: Simplify (- 0) into 0 1.620 * [backup-simplify]: Simplify (+ 0 0) into 0 1.621 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.621 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.621 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.621 * [taylor]: Taking taylor expansion of 2 in n 1.621 * [backup-simplify]: Simplify 2 into 2 1.621 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.621 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.621 * [taylor]: Taking taylor expansion of n in n 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.621 * [backup-simplify]: Simplify (* 1 1) into 1 1.622 * [backup-simplify]: Simplify (/ 1 1) into 1 1.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.624 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.625 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify (+ 0 0) into 0 1.626 * [backup-simplify]: Simplify (- 0) into 0 1.626 * [backup-simplify]: Simplify (+ 0 0) into 0 1.626 * [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)))) 1.627 * [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))) 1.627 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.627 * [taylor]: Taking taylor expansion of 2 in n 1.627 * [backup-simplify]: Simplify 2 into 2 1.627 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.627 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.627 * [taylor]: Taking taylor expansion of n in n 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 1 into 1 1.627 * [backup-simplify]: Simplify (* 1 1) into 1 1.627 * [backup-simplify]: Simplify (* 1 1) into 1 1.628 * [backup-simplify]: Simplify (/ 1 1) into 1 1.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.632 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.633 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.633 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.633 * [taylor]: Taking taylor expansion of -1 in n 1.633 * [backup-simplify]: Simplify -1 into -1 1.633 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.633 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.633 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.633 * [taylor]: Taking taylor expansion of f in n 1.633 * [backup-simplify]: Simplify f into f 1.633 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.633 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.633 * [taylor]: Taking taylor expansion of n in n 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (/ 1 1) into 1 1.633 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.633 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.633 * [taylor]: Taking taylor expansion of f in n 1.633 * [backup-simplify]: Simplify f into f 1.633 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.633 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.633 * [taylor]: Taking taylor expansion of n in n 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.634 * [backup-simplify]: Simplify (/ 1 1) into 1 1.634 * [backup-simplify]: Simplify (+ 0 1) into 1 1.634 * [backup-simplify]: Simplify (- 1) into -1 1.634 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.635 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.635 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.635 * [taylor]: Taking taylor expansion of -1 in f 1.635 * [backup-simplify]: Simplify -1 into -1 1.635 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.635 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.635 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.635 * [taylor]: Taking taylor expansion of f in f 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.635 * [backup-simplify]: Simplify (/ 1 1) into 1 1.635 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.635 * [taylor]: Taking taylor expansion of n in f 1.635 * [backup-simplify]: Simplify n into n 1.635 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.635 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.635 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.635 * [taylor]: Taking taylor expansion of f in f 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.635 * [backup-simplify]: Simplify (/ 1 1) into 1 1.635 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.635 * [taylor]: Taking taylor expansion of n in f 1.635 * [backup-simplify]: Simplify n into n 1.635 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.636 * [backup-simplify]: Simplify (+ 1 0) into 1 1.636 * [backup-simplify]: Simplify (+ 1 0) into 1 1.636 * [backup-simplify]: Simplify (/ 1 1) into 1 1.636 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.636 * [taylor]: Taking taylor expansion of -1 in f 1.636 * [backup-simplify]: Simplify -1 into -1 1.636 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.636 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.636 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.636 * [taylor]: Taking taylor expansion of f in f 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify (/ 1 1) into 1 1.637 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.637 * [taylor]: Taking taylor expansion of n in f 1.637 * [backup-simplify]: Simplify n into n 1.637 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.637 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.637 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.637 * [taylor]: Taking taylor expansion of f in f 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify (/ 1 1) into 1 1.637 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.637 * [taylor]: Taking taylor expansion of n in f 1.637 * [backup-simplify]: Simplify n into n 1.637 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.637 * [backup-simplify]: Simplify (+ 1 0) into 1 1.638 * [backup-simplify]: Simplify (+ 1 0) into 1 1.638 * [backup-simplify]: Simplify (/ 1 1) into 1 1.638 * [backup-simplify]: Simplify (* -1 1) into -1 1.638 * [taylor]: Taking taylor expansion of -1 in n 1.638 * [backup-simplify]: Simplify -1 into -1 1.638 * [backup-simplify]: Simplify -1 into -1 1.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.639 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.639 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.639 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.639 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.640 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.640 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.640 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.640 * [taylor]: Taking taylor expansion of 2 in n 1.640 * [backup-simplify]: Simplify 2 into 2 1.640 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.640 * [taylor]: Taking taylor expansion of n in n 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (/ 1 1) into 1 1.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.641 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.641 * [backup-simplify]: Simplify (- 0) into 0 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.642 * [backup-simplify]: Simplify (+ 0 0) into 0 1.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.643 * [backup-simplify]: Simplify (- 0) into 0 1.643 * [backup-simplify]: Simplify (+ 0 0) into 0 1.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.644 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.644 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.644 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.644 * [taylor]: Taking taylor expansion of 2 in n 1.644 * [backup-simplify]: Simplify 2 into 2 1.644 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.644 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.644 * [taylor]: Taking taylor expansion of n in n 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.645 * [backup-simplify]: Simplify (* 1 1) into 1 1.645 * [backup-simplify]: Simplify (/ 1 1) into 1 1.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.647 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.647 * [backup-simplify]: Simplify (- 0) into 0 1.647 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.648 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.649 * [backup-simplify]: Simplify (- 0) into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.650 * [backup-simplify]: Simplify (+ 0 0) into 0 1.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.653 * [backup-simplify]: Simplify (- 0) into 0 1.653 * [backup-simplify]: Simplify (+ 0 0) into 0 1.654 * [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))) 1.655 * [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)))) 1.655 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.655 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.655 * [taylor]: Taking taylor expansion of 2 in n 1.655 * [backup-simplify]: Simplify 2 into 2 1.655 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.655 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.655 * [taylor]: Taking taylor expansion of n in n 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (* 1 1) into 1 1.656 * [backup-simplify]: Simplify (* 1 1) into 1 1.656 * [backup-simplify]: Simplify (/ 1 1) into 1 1.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.661 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.661 * [backup-simplify]: Simplify (- 0) into 0 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify -1 into -1 1.661 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.661 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.661 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.661 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.661 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.661 * [taylor]: Taking taylor expansion of f in n 1.662 * [backup-simplify]: Simplify f into f 1.662 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.662 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.662 * [taylor]: Taking taylor expansion of n in n 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (/ 1 1) into 1 1.662 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.662 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.662 * [taylor]: Taking taylor expansion of n in n 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (/ 1 1) into 1 1.662 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.662 * [taylor]: Taking taylor expansion of f in n 1.662 * [backup-simplify]: Simplify f into f 1.662 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.663 * [backup-simplify]: Simplify (+ 0 1) into 1 1.663 * [backup-simplify]: Simplify (+ 1 0) into 1 1.663 * [backup-simplify]: Simplify (/ 1 1) into 1 1.663 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.663 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.663 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.663 * [taylor]: Taking taylor expansion of f in f 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (/ 1 1) into 1 1.663 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.663 * [taylor]: Taking taylor expansion of n in f 1.663 * [backup-simplify]: Simplify n into n 1.663 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.663 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.663 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.663 * [taylor]: Taking taylor expansion of n in f 1.664 * [backup-simplify]: Simplify n into n 1.664 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.664 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.664 * [taylor]: Taking taylor expansion of f in f 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 1 into 1 1.664 * [backup-simplify]: Simplify (/ 1 1) into 1 1.664 * [backup-simplify]: Simplify (+ 1 0) into 1 1.665 * [backup-simplify]: Simplify (- 1) into -1 1.665 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.665 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.665 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.665 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.665 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.665 * [taylor]: Taking taylor expansion of f in f 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.665 * [backup-simplify]: Simplify (/ 1 1) into 1 1.665 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.665 * [taylor]: Taking taylor expansion of n in f 1.665 * [backup-simplify]: Simplify n into n 1.666 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.666 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.666 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.666 * [taylor]: Taking taylor expansion of n in f 1.666 * [backup-simplify]: Simplify n into n 1.666 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.666 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.666 * [taylor]: Taking taylor expansion of f in f 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [backup-simplify]: Simplify (/ 1 1) into 1 1.666 * [backup-simplify]: Simplify (+ 1 0) into 1 1.666 * [backup-simplify]: Simplify (- 1) into -1 1.667 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.667 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.667 * [taylor]: Taking taylor expansion of -1 in n 1.667 * [backup-simplify]: Simplify -1 into -1 1.667 * [backup-simplify]: Simplify -1 into -1 1.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.668 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.668 * [backup-simplify]: Simplify (- 0) into 0 1.668 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.668 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.668 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.668 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.668 * [taylor]: Taking taylor expansion of 2 in n 1.668 * [backup-simplify]: Simplify 2 into 2 1.668 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.668 * [taylor]: Taking taylor expansion of n in n 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 1 into 1 1.669 * [backup-simplify]: Simplify (/ 1 1) into 1 1.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.670 * [backup-simplify]: Simplify (- 0) into 0 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.671 * [backup-simplify]: Simplify (+ 0 0) into 0 1.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.672 * [backup-simplify]: Simplify (- 0) into 0 1.672 * [backup-simplify]: Simplify (+ 0 0) into 0 1.672 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.672 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.672 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.672 * [taylor]: Taking taylor expansion of 2 in n 1.672 * [backup-simplify]: Simplify 2 into 2 1.673 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.673 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.673 * [taylor]: Taking taylor expansion of n in n 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [backup-simplify]: Simplify (* 1 1) into 1 1.673 * [backup-simplify]: Simplify (/ 1 1) into 1 1.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.675 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.676 * [backup-simplify]: Simplify (- 0) into 0 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.677 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.677 * [backup-simplify]: Simplify (- 0) into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.678 * [backup-simplify]: Simplify (+ 0 0) into 0 1.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.679 * [backup-simplify]: Simplify (- 0) into 0 1.679 * [backup-simplify]: Simplify (+ 0 0) into 0 1.680 * [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)))) 1.680 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.680 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.680 * [taylor]: Taking taylor expansion of 2 in n 1.680 * [backup-simplify]: Simplify 2 into 2 1.680 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.680 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.680 * [taylor]: Taking taylor expansion of n in n 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify (* 1 1) into 1 1.680 * [backup-simplify]: Simplify (* 1 1) into 1 1.681 * [backup-simplify]: Simplify (/ 1 1) into 1 1.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (- 0) into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify -1 into -1 1.686 * * * [progress]: simplifying candidates 1.696 * [simplify]: Simplifying: (* (- (log -1) (- (log (- f n)) (log (+ f n)))) 3) (* (- (log -1) (log (/ (- f n) (+ f n)))) 3) (* (log (/ -1 (/ (- f n) (+ f n)))) 3) (* (log (/ -1 (/ (- f n) (+ f n)))) 3) (* 1 3) (pow (/ -1 (/ (- f n) (+ f n))) (* (cbrt 3) (cbrt 3))) (pow (/ -1 (/ (- f n) (+ f n))) (sqrt 3)) (pow (/ -1 (/ (- f n) (+ f n))) 1) (pow (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) 3) (pow (cbrt (/ -1 (/ (- f n) (+ f n)))) 3) (pow (sqrt (/ -1 (/ (- f n) (+ f n)))) 3) (pow (sqrt (/ -1 (/ (- f n) (+ f n)))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) 3) (pow (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n)))) 3) (pow (/ (cbrt -1) (sqrt (/ (- f n) (+ f n)))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) 3) (pow (/ (cbrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) 3) (pow (/ (cbrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) 3) (pow (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) 3) (pow (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) 3) (pow (/ (cbrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (sqrt (+ f n)))) 3) (pow (/ (cbrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)) 3) (pow (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)) 3) (pow (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) 3) (pow (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))) 3) (pow (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) 3) (pow (/ (cbrt -1) (/ (- f n) (+ f n))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) 3) (pow (/ (cbrt -1) (/ (- f n) (+ f n))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) 3) (pow (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) 3) (pow (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1)) 3) (pow (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1)) 3) (pow (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) 3) (pow (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))) 3) (pow (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) 3) (pow (/ (cbrt -1) (/ (- f n) (+ f n))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) 3) (pow (/ (cbrt -1) (/ (- f n) (+ f n))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) 1) 3) (pow (/ (cbrt -1) (/ (- f n) (+ f n))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (- f n)) 3) (pow (/ (cbrt -1) (/ 1 (+ f n))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (+ (pow f 3) (pow n 3)))) 3) (pow (/ (cbrt -1) (+ (* f f) (- (* n n) (* f n)))) 3) (pow (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n)))) 3) (pow (/ (cbrt -1) (- f n)) 3) (pow (/ (sqrt -1) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) 3) (pow (/ (sqrt -1) (cbrt (/ (- f n) (+ f n)))) 3) (pow (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) 3) (pow (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) 3) (pow (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) 3) (pow (/ (sqrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))) 3) (pow (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) 3) (pow (/ (sqrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))) 3) (pow (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) 3) (pow (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n))) 3) (pow (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) 3) (pow (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n))) 3) (pow (/ (sqrt -1) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) 3) (pow (/ (sqrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))) 3) (pow (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) 3) (pow (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) 3) (pow (/ (sqrt -1) (/ (sqrt (- f n)) 1)) 3) (pow (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))) 3) (pow (/ (sqrt -1) (/ (sqrt (- f n)) 1)) 3) (pow (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))) 3) (pow (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) 3) (pow (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) 3) (pow (/ (sqrt -1) (/ 1 (sqrt (+ f n)))) 3) (pow (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))) 3) (pow (/ (sqrt -1) (/ 1 1)) 3) (pow (/ (sqrt -1) (/ (- f n) (+ f n))) 3) (pow (/ (sqrt -1) (/ 1 1)) 3) (pow (/ (sqrt -1) (/ (- f n) (+ f n))) 3) (pow (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) 3) (pow (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) 3) (pow (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) 3) (pow (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) 3) (pow (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) 1)) 3) (pow (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) 3) (pow (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) 1)) 3) (pow (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) 3) (pow (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) 3) (pow (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) 3) (pow (/ (sqrt -1) (/ 1 (sqrt (+ f n)))) 3) (pow (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))) 3) (pow (/ (sqrt -1) (/ 1 1)) 3) (pow (/ (sqrt -1) (/ (- f n) (+ f n))) 3) (pow (/ (sqrt -1) (/ 1 1)) 3) (pow (/ (sqrt -1) (/ (- f n) (+ f n))) 3) (pow (/ (sqrt -1) 1) 3) (pow (/ (sqrt -1) (/ (- f n) (+ f n))) 3) (pow (/ (sqrt -1) (- f n)) 3) (pow (/ (sqrt -1) (/ 1 (+ f n))) 3) (pow (/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3)))) 3) (pow (/ (sqrt -1) (+ (* 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(cbrt (+ h0 h1))))) (/ (cbrt -1) (/ (- (sqrt h0) (sqrt h1)) (cbrt (+ h0 h1)))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (/ (cbrt -1) (/ (- (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ (cbrt -1) (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ (cbrt -1) (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ (cbrt -1) (/ (- h0 h1) (cbrt (+ h0 h1)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ h0 h1)))) (/ (cbrt -1) (/ (- h0 h1) (sqrt (+ h0 h1)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- h0 h1) (+ h0 h1))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- h0 h1) (+ h0 h1))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (/ (- h0 h1) (+ h0 h1))) (/ (* (cbrt -1) (cbrt -1)) (- h0 h1)) (/ (cbrt -1) (/ 1 (+ h0 h1))) (/ (* (cbrt -1) (cbrt -1)) (/ (- h0 h1) (+ (pow h0 3) (pow h1 3)))) (/ (cbrt -1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (/ (* (cbrt -1) (cbrt -1)) (/ (- h0 h1) (- (* h0 h0) (* h1 h1)))) (/ (cbrt -1) (- h0 h1)) (/ (sqrt -1) (* (cbrt (/ (- h0 h1) (+ h0 h1))) (cbrt (/ (- h0 h1) (+ h0 h1))))) (/ (sqrt -1) (cbrt (/ (- h0 h1) (+ h0 h1)))) (/ (sqrt -1) (sqrt (/ (- h0 h1) (+ h0 h1)))) (/ (sqrt -1) (sqrt (/ (- h0 h1) (+ h0 h1)))) (/ (sqrt -1) (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ (sqrt -1) (/ (cbrt (- h0 h1)) (cbrt (+ h0 h1)))) (/ (sqrt -1) (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (sqrt (+ h0 h1)))) (/ (sqrt -1) (/ (cbrt (- h0 h1)) (sqrt (+ h0 h1)))) (/ (sqrt -1) (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ (sqrt -1) (/ (cbrt (- h0 h1)) (+ h0 h1))) (/ (sqrt -1) (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ (sqrt -1) (/ (cbrt (- h0 h1)) (+ h0 h1))) (/ (sqrt -1) (/ (sqrt (- h0 h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ (sqrt -1) (/ (sqrt (- h0 h1)) (cbrt (+ h0 h1)))) (/ (sqrt -1) (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1)))) (/ (sqrt -1) (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1)))) (/ (sqrt -1) (/ (sqrt (- h0 h1)) 1)) (/ (sqrt -1) (/ (sqrt (- h0 h1)) (+ h0 h1))) (/ (sqrt -1) (/ (sqrt (- h0 h1)) 1)) (/ (sqrt -1) (/ (sqrt (- h0 h1)) (+ h0 h1))) (/ (sqrt -1) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ (sqrt -1) (/ (- h0 h1) (cbrt (+ h0 h1)))) (/ (sqrt -1) (/ 1 (sqrt (+ h0 h1)))) (/ (sqrt -1) (/ (- h0 h1) (sqrt (+ h0 h1)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- h0 h1) (+ h0 h1))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- h0 h1) (+ h0 h1))) (/ (sqrt -1) (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ (sqrt -1) (/ (- (sqrt h0) (sqrt h1)) (cbrt (+ h0 h1)))) (/ (sqrt -1) (/ (+ (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (/ (sqrt -1) (/ (- (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (/ (sqrt -1) (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ (sqrt -1) (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1))) (/ (sqrt -1) (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ (sqrt -1) (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1))) (/ (sqrt -1) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ (sqrt -1) (/ (- h0 h1) (cbrt (+ h0 h1)))) (/ (sqrt -1) (/ 1 (sqrt (+ h0 h1)))) (/ (sqrt -1) (/ (- h0 h1) (sqrt (+ h0 h1)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- h0 h1) (+ h0 h1))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- h0 h1) (+ h0 h1))) (/ (sqrt -1) 1) (/ (sqrt -1) (/ (- h0 h1) (+ h0 h1))) (/ (sqrt -1) (- h0 h1)) (/ (sqrt -1) (/ 1 (+ h0 h1))) (/ (sqrt -1) (/ (- h0 h1) (+ (pow h0 3) (pow h1 3)))) (/ (sqrt -1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (/ (sqrt -1) (/ (- h0 h1) (- (* h0 h0) (* h1 h1)))) (/ (sqrt -1) (- h0 h1)) (/ 1 (* (cbrt (/ (- h0 h1) (+ h0 h1))) (cbrt (/ (- h0 h1) (+ h0 h1))))) (/ -1 (cbrt (/ (- h0 h1) (+ h0 h1)))) (/ 1 (sqrt (/ (- h0 h1) (+ h0 h1)))) (/ -1 (sqrt (/ (- h0 h1) (+ h0 h1)))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ (cbrt (- h0 h1)) (cbrt (+ h0 h1)))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (sqrt (+ h0 h1)))) (/ -1 (/ (cbrt (- h0 h1)) (sqrt (+ h0 h1)))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ -1 (/ (cbrt (- h0 h1)) (+ h0 h1))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ -1 (/ (cbrt (- h0 h1)) (+ h0 h1))) (/ 1 (/ (sqrt (- h0 h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ (sqrt (- h0 h1)) (cbrt (+ h0 h1)))) (/ 1 (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1)))) (/ -1 (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1)))) (/ 1 (/ (sqrt (- h0 h1)) 1)) (/ -1 (/ (sqrt (- h0 h1)) (+ h0 h1))) (/ 1 (/ (sqrt (- h0 h1)) 1)) (/ -1 (/ (sqrt (- h0 h1)) (+ h0 h1))) (/ 1 (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ (- h0 h1) (cbrt (+ h0 h1)))) (/ 1 (/ 1 (sqrt (+ h0 h1)))) (/ -1 (/ (- h0 h1) (sqrt (+ h0 h1)))) (/ 1 (/ 1 1)) (/ -1 (/ (- h0 h1) (+ h0 h1))) (/ 1 (/ 1 1)) (/ -1 (/ (- h0 h1) (+ h0 h1))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ (- (sqrt h0) (sqrt h1)) (cbrt (+ h0 h1)))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (/ -1 (/ (- (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ -1 (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ -1 (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1))) (/ 1 (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ (- h0 h1) (cbrt (+ h0 h1)))) (/ 1 (/ 1 (sqrt (+ h0 h1)))) (/ -1 (/ (- h0 h1) (sqrt (+ h0 h1)))) (/ 1 (/ 1 1)) (/ -1 (/ (- h0 h1) (+ h0 h1))) (/ 1 (/ 1 1)) (/ -1 (/ (- h0 h1) (+ h0 h1))) (/ 1 1) (/ -1 (/ (- h0 h1) (+ h0 h1))) (/ 1 (- h0 h1)) (/ -1 (/ 1 (+ h0 h1))) (/ 1 (/ (- h0 h1) (+ (pow h0 3) (pow h1 3)))) (/ -1 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (/ 1 (/ (- h0 h1) (- (* h0 h0) (* h1 h1)))) (/ -1 (- h0 h1)) (/ 1 (/ (- h0 h1) (+ h0 h1))) (/ (/ (- h0 h1) (+ h0 h1)) -1) (/ -1 (* (cbrt (/ (- h0 h1) (+ h0 h1))) (cbrt (/ (- h0 h1) (+ h0 h1))))) (/ -1 (sqrt (/ (- h0 h1) (+ h0 h1)))) (/ -1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (sqrt (+ h0 h1)))) (/ -1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ -1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ -1 (/ (sqrt (- h0 h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1)))) (/ -1 (/ (sqrt (- h0 h1)) 1)) (/ -1 (/ (sqrt (- h0 h1)) 1)) (/ -1 (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ 1 (sqrt (+ h0 h1)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ (+ (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (/ -1 (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ -1 (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ -1 (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ -1 (/ 1 (sqrt (+ h0 h1)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 1) (/ -1 (- h0 h1)) (/ -1 (/ (- h0 h1) (+ (pow h0 3) (pow h1 3)))) (/ -1 (/ (- h0 h1) (- (* h0 h0) (* h1 h1)))) (/ (/ (- h0 h1) (+ h0 h1)) (cbrt -1)) (/ (/ (- h0 h1) (+ h0 h1)) (sqrt -1)) (/ (/ (- h0 h1) (+ h0 h1)) -1) (/ -1 (- h0 h1)) 1 -1 -1 -1 1 1 (* -1 (cbrt -1)) (cbrt -1) -1 1 -1 -1 1.721 * * [simplify]: iteration 0 : 1464 enodes (cost 5323 ) 1.740 * * [simplify]: iteration 1 : 5002 enodes (cost 5133 ) 1.770 * * * [progress]: adding candidates to table 2.355 * * [progress]: iteration 4 / 4 2.355 * * * [progress]: picking best candidate 2.358 * * * * [pick]: Picked # 2.358 * * * [progress]: localizing error 2.364 * * * [progress]: generating rewritten candidates 2.364 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.438 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.534 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.545 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 2.566 * * * [progress]: generating series expansions 2.566 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.566 * [backup-simplify]: Simplify (- (/ f (+ f n)) (/ n (+ f n))) into (- (/ f (+ n f)) (/ n (+ n f))) 2.566 * [approximate]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in (f n) around 0 2.566 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 2.566 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 2.566 * [taylor]: Taking taylor expansion of f in n 2.566 * [backup-simplify]: Simplify f into f 2.566 * [taylor]: Taking taylor expansion of (+ n f) in n 2.566 * [taylor]: Taking taylor expansion of n in n 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [taylor]: Taking taylor expansion of f in n 2.567 * [backup-simplify]: Simplify f into f 2.567 * [backup-simplify]: Simplify (+ 0 f) into f 2.567 * [backup-simplify]: Simplify (/ f f) into 1 2.567 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 2.567 * [taylor]: Taking taylor expansion of n in n 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [taylor]: Taking taylor expansion of (+ n f) in n 2.567 * [taylor]: Taking taylor expansion of n in n 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [taylor]: Taking taylor expansion of f in n 2.567 * [backup-simplify]: Simplify f into f 2.567 * [backup-simplify]: Simplify (+ 0 f) into f 2.567 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.567 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 2.567 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 2.567 * [taylor]: Taking taylor expansion of f in f 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [taylor]: Taking taylor expansion of (+ n f) in f 2.567 * [taylor]: Taking taylor expansion of n in f 2.567 * [backup-simplify]: Simplify n into n 2.567 * [taylor]: Taking taylor expansion of f in f 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [backup-simplify]: Simplify (+ n 0) into n 2.567 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.567 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 2.567 * [taylor]: Taking taylor expansion of n in f 2.567 * [backup-simplify]: Simplify n into n 2.567 * [taylor]: Taking taylor expansion of (+ n f) in f 2.567 * [taylor]: Taking taylor expansion of n in f 2.567 * [backup-simplify]: Simplify n into n 2.567 * [taylor]: Taking taylor expansion of f in f 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [backup-simplify]: Simplify (+ n 0) into n 2.567 * [backup-simplify]: Simplify (/ n n) into 1 2.567 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 2.567 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 2.567 * [taylor]: Taking taylor expansion of f in f 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [taylor]: Taking taylor expansion of (+ n f) in f 2.567 * [taylor]: Taking taylor expansion of n in f 2.567 * [backup-simplify]: Simplify n into n 2.567 * [taylor]: Taking taylor expansion of f in f 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [backup-simplify]: Simplify (+ n 0) into n 2.567 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.568 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 2.568 * [taylor]: Taking taylor expansion of n in f 2.568 * [backup-simplify]: Simplify n into n 2.568 * [taylor]: Taking taylor expansion of (+ n f) in f 2.568 * [taylor]: Taking taylor expansion of n in f 2.568 * [backup-simplify]: Simplify n into n 2.568 * [taylor]: Taking taylor expansion of f in f 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify 1 into 1 2.568 * [backup-simplify]: Simplify (+ n 0) into n 2.568 * [backup-simplify]: Simplify (/ n n) into 1 2.568 * [backup-simplify]: Simplify (- 1) into -1 2.569 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.569 * [taylor]: Taking taylor expansion of -1 in n 2.569 * [backup-simplify]: Simplify -1 into -1 2.569 * [backup-simplify]: Simplify -1 into -1 2.569 * [backup-simplify]: Simplify (+ 0 1) into 1 2.569 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 2.569 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 2.569 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 2.569 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.569 * [taylor]: Taking taylor expansion of 2 in n 2.569 * [backup-simplify]: Simplify 2 into 2 2.569 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.569 * [taylor]: Taking taylor expansion of n in n 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 1 into 1 2.570 * [backup-simplify]: Simplify (/ 1 1) into 1 2.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.571 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.571 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify (+ 0 1) into 1 2.571 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 2.571 * [backup-simplify]: Simplify (+ 0 0) into 0 2.571 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 2.572 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 2.572 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 2.572 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.572 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.572 * [taylor]: Taking taylor expansion of 2 in n 2.572 * [backup-simplify]: Simplify 2 into 2 2.572 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.572 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.572 * [taylor]: Taking taylor expansion of n in n 2.572 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify 1 into 1 2.572 * [backup-simplify]: Simplify (* 1 1) into 1 2.572 * [backup-simplify]: Simplify (/ 1 1) into 1 2.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.578 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.579 * [backup-simplify]: Simplify (- 0) into 0 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.580 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify (+ 0 0) into 0 2.580 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 2.581 * [backup-simplify]: Simplify (+ 0 0) into 0 2.581 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 2.581 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 2.581 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 2.581 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.581 * [taylor]: Taking taylor expansion of 2 in n 2.581 * [backup-simplify]: Simplify 2 into 2 2.581 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.581 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.581 * [taylor]: Taking taylor expansion of n in n 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 1 into 1 2.582 * [backup-simplify]: Simplify (* 1 1) into 1 2.582 * [backup-simplify]: Simplify (* 1 1) into 1 2.582 * [backup-simplify]: Simplify (/ 1 1) into 1 2.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.587 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify -1 into -1 2.587 * [backup-simplify]: Simplify (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n)))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 2.587 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 2.587 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 2.587 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 2.587 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 2.587 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.587 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.587 * [taylor]: Taking taylor expansion of f in n 2.588 * [backup-simplify]: Simplify f into f 2.588 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.588 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.588 * [taylor]: Taking taylor expansion of n in n 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [backup-simplify]: Simplify (/ 1 1) into 1 2.588 * [taylor]: Taking taylor expansion of f in n 2.588 * [backup-simplify]: Simplify f into f 2.588 * [backup-simplify]: Simplify (+ 0 1) into 1 2.588 * [backup-simplify]: Simplify (* 1 f) into f 2.588 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.588 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 2.588 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 2.588 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.588 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.588 * [taylor]: Taking taylor expansion of f in n 2.588 * [backup-simplify]: Simplify f into f 2.588 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.588 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.588 * [taylor]: Taking taylor expansion of n in n 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.589 * [backup-simplify]: Simplify (/ 1 1) into 1 2.589 * [taylor]: Taking taylor expansion of n in n 2.589 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify 1 into 1 2.589 * [backup-simplify]: Simplify (+ 0 1) into 1 2.589 * [backup-simplify]: Simplify (* 1 0) into 0 2.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.590 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 2.590 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 2.590 * [backup-simplify]: Simplify (/ 1 1) into 1 2.590 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 2.590 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 2.590 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 2.590 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.590 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.590 * [taylor]: Taking taylor expansion of f in f 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 1 into 1 2.591 * [backup-simplify]: Simplify (/ 1 1) into 1 2.591 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.591 * [taylor]: Taking taylor expansion of n in f 2.591 * [backup-simplify]: Simplify n into n 2.591 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.591 * [taylor]: Taking taylor expansion of f in f 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify 1 into 1 2.591 * [backup-simplify]: Simplify (+ 1 0) into 1 2.591 * [backup-simplify]: Simplify (* 1 0) into 0 2.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.592 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.592 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 2.592 * [backup-simplify]: Simplify (/ 1 1) into 1 2.592 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 2.592 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 2.592 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.592 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.592 * [taylor]: Taking taylor expansion of f in f 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify 1 into 1 2.593 * [backup-simplify]: Simplify (/ 1 1) into 1 2.593 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.593 * [taylor]: Taking taylor expansion of n in f 2.593 * [backup-simplify]: Simplify n into n 2.593 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.593 * [taylor]: Taking taylor expansion of n in f 2.593 * [backup-simplify]: Simplify n into n 2.593 * [backup-simplify]: Simplify (+ 1 0) into 1 2.593 * [backup-simplify]: Simplify (* 1 n) into n 2.593 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.593 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 2.593 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 2.593 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 2.593 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.593 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.593 * [taylor]: Taking taylor expansion of f in f 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 1 into 1 2.593 * [backup-simplify]: Simplify (/ 1 1) into 1 2.593 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.593 * [taylor]: Taking taylor expansion of n in f 2.593 * [backup-simplify]: Simplify n into n 2.593 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.594 * [taylor]: Taking taylor expansion of f in f 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify 1 into 1 2.594 * [backup-simplify]: Simplify (+ 1 0) into 1 2.594 * [backup-simplify]: Simplify (* 1 0) into 0 2.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.595 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.595 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 2.595 * [backup-simplify]: Simplify (/ 1 1) into 1 2.595 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 2.595 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 2.595 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.595 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.595 * [taylor]: Taking taylor expansion of f in f 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify 1 into 1 2.595 * [backup-simplify]: Simplify (/ 1 1) into 1 2.595 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.595 * [taylor]: Taking taylor expansion of n in f 2.595 * [backup-simplify]: Simplify n into n 2.596 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.596 * [taylor]: Taking taylor expansion of n in f 2.596 * [backup-simplify]: Simplify n into n 2.596 * [backup-simplify]: Simplify (+ 1 0) into 1 2.596 * [backup-simplify]: Simplify (* 1 n) into n 2.596 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.596 * [backup-simplify]: Simplify (+ 1 0) into 1 2.596 * [taylor]: Taking taylor expansion of 1 in n 2.596 * [backup-simplify]: Simplify 1 into 1 2.596 * [backup-simplify]: Simplify 1 into 1 2.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.597 * [backup-simplify]: Simplify (+ 0 0) into 0 2.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 2.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 2.598 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.598 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 2.598 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.598 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.598 * [taylor]: Taking taylor expansion of 2 in n 2.598 * [backup-simplify]: Simplify 2 into 2 2.598 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.598 * [taylor]: Taking taylor expansion of n in n 2.598 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify 1 into 1 2.598 * [backup-simplify]: Simplify (/ 1 1) into 1 2.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.599 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.599 * [backup-simplify]: Simplify (- 0) into 0 2.599 * [backup-simplify]: Simplify 0 into 0 2.599 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.600 * [backup-simplify]: Simplify (+ 0 0) into 0 2.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 2.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 2.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.602 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.602 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 2.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 2.602 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 2.602 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 2.603 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.603 * [taylor]: Taking taylor expansion of 2 in n 2.603 * [backup-simplify]: Simplify 2 into 2 2.603 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.603 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.603 * [taylor]: Taking taylor expansion of n in n 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify 1 into 1 2.603 * [backup-simplify]: Simplify (* 1 1) into 1 2.603 * [backup-simplify]: Simplify (/ 1 1) into 1 2.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.606 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.606 * [backup-simplify]: Simplify 0 into 0 2.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.607 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.607 * [backup-simplify]: Simplify (- 0) into 0 2.607 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.608 * [backup-simplify]: Simplify (+ 0 0) into 0 2.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 2.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.610 * [backup-simplify]: Simplify (+ 0 0) into 0 2.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 2.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 2.611 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 2.611 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 2.611 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.611 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.611 * [taylor]: Taking taylor expansion of 2 in n 2.611 * [backup-simplify]: Simplify 2 into 2 2.611 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.611 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.611 * [taylor]: Taking taylor expansion of n in n 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify 1 into 1 2.612 * [backup-simplify]: Simplify (* 1 1) into 1 2.612 * [backup-simplify]: Simplify (* 1 1) into 1 2.612 * [backup-simplify]: Simplify (/ 1 1) into 1 2.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.617 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.617 * [backup-simplify]: Simplify (- 0) into 0 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify 1 into 1 2.618 * [backup-simplify]: Simplify (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 2.618 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 2.618 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 2.618 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 2.618 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 2.618 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.618 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.618 * [taylor]: Taking taylor expansion of f in n 2.618 * [backup-simplify]: Simplify f into f 2.618 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.618 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.618 * [taylor]: Taking taylor expansion of n in n 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [backup-simplify]: Simplify (/ 1 1) into 1 2.618 * [taylor]: Taking taylor expansion of f in n 2.618 * [backup-simplify]: Simplify f into f 2.618 * [backup-simplify]: Simplify (+ 0 1) into 1 2.619 * [backup-simplify]: Simplify (* 1 f) into f 2.619 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.619 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 2.619 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 2.619 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.619 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.619 * [taylor]: Taking taylor expansion of f in n 2.619 * [backup-simplify]: Simplify f into f 2.619 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.619 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.619 * [taylor]: Taking taylor expansion of n in n 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify 1 into 1 2.619 * [backup-simplify]: Simplify (/ 1 1) into 1 2.619 * [taylor]: Taking taylor expansion of n in n 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify 1 into 1 2.619 * [backup-simplify]: Simplify (+ 0 1) into 1 2.620 * [backup-simplify]: Simplify (* 1 0) into 0 2.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.620 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 2.620 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 2.620 * [backup-simplify]: Simplify (/ 1 1) into 1 2.621 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 2.621 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 2.621 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 2.621 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.621 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.621 * [taylor]: Taking taylor expansion of f in f 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify 1 into 1 2.621 * [backup-simplify]: Simplify (/ 1 1) into 1 2.621 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.621 * [taylor]: Taking taylor expansion of n in f 2.621 * [backup-simplify]: Simplify n into n 2.621 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.621 * [taylor]: Taking taylor expansion of f in f 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify 1 into 1 2.621 * [backup-simplify]: Simplify (+ 1 0) into 1 2.622 * [backup-simplify]: Simplify (* 1 0) into 0 2.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.622 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.622 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 2.622 * [backup-simplify]: Simplify (/ 1 1) into 1 2.623 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 2.623 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 2.623 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.623 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.623 * [taylor]: Taking taylor expansion of f in f 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify 1 into 1 2.623 * [backup-simplify]: Simplify (/ 1 1) into 1 2.623 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.623 * [taylor]: Taking taylor expansion of n in f 2.623 * [backup-simplify]: Simplify n into n 2.623 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.623 * [taylor]: Taking taylor expansion of n in f 2.623 * [backup-simplify]: Simplify n into n 2.623 * [backup-simplify]: Simplify (+ 1 0) into 1 2.623 * [backup-simplify]: Simplify (* 1 n) into n 2.623 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.623 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 2.623 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 2.623 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 2.623 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.623 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.623 * [taylor]: Taking taylor expansion of f in f 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify 1 into 1 2.624 * [backup-simplify]: Simplify (/ 1 1) into 1 2.624 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.624 * [taylor]: Taking taylor expansion of n in f 2.624 * [backup-simplify]: Simplify n into n 2.624 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.624 * [taylor]: Taking taylor expansion of f in f 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify 1 into 1 2.624 * [backup-simplify]: Simplify (+ 1 0) into 1 2.624 * [backup-simplify]: Simplify (* 1 0) into 0 2.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.625 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.625 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 2.625 * [backup-simplify]: Simplify (/ 1 1) into 1 2.625 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 2.625 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 2.625 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.625 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.625 * [taylor]: Taking taylor expansion of f in f 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify 1 into 1 2.626 * [backup-simplify]: Simplify (/ 1 1) into 1 2.626 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.626 * [taylor]: Taking taylor expansion of n in f 2.626 * [backup-simplify]: Simplify n into n 2.626 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.626 * [taylor]: Taking taylor expansion of n in f 2.626 * [backup-simplify]: Simplify n into n 2.626 * [backup-simplify]: Simplify (+ 1 0) into 1 2.626 * [backup-simplify]: Simplify (* 1 n) into n 2.626 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.627 * [backup-simplify]: Simplify (+ 1 0) into 1 2.627 * [taylor]: Taking taylor expansion of 1 in n 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.627 * [backup-simplify]: Simplify (+ 0 0) into 0 2.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 2.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 2.628 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.628 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 2.628 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.628 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.628 * [taylor]: Taking taylor expansion of 2 in n 2.628 * [backup-simplify]: Simplify 2 into 2 2.628 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.628 * [taylor]: Taking taylor expansion of n in n 2.628 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify 1 into 1 2.629 * [backup-simplify]: Simplify (/ 1 1) into 1 2.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.630 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.630 * [backup-simplify]: Simplify (- 0) into 0 2.630 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.631 * [backup-simplify]: Simplify (+ 0 0) into 0 2.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 2.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 2.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.632 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.633 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 2.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 2.633 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 2.633 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 2.633 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.633 * [taylor]: Taking taylor expansion of 2 in n 2.633 * [backup-simplify]: Simplify 2 into 2 2.633 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.633 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.633 * [taylor]: Taking taylor expansion of n in n 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify 1 into 1 2.634 * [backup-simplify]: Simplify (* 1 1) into 1 2.634 * [backup-simplify]: Simplify (/ 1 1) into 1 2.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.636 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.636 * [backup-simplify]: Simplify 0 into 0 2.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.637 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.637 * [backup-simplify]: Simplify (- 0) into 0 2.637 * [backup-simplify]: Simplify 0 into 0 2.637 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.638 * [backup-simplify]: Simplify (+ 0 0) into 0 2.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 2.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.641 * [backup-simplify]: Simplify (+ 0 0) into 0 2.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 2.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 2.641 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 2.642 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 2.642 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.642 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.642 * [taylor]: Taking taylor expansion of 2 in n 2.642 * [backup-simplify]: Simplify 2 into 2 2.642 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.642 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.642 * [taylor]: Taking taylor expansion of n in n 2.642 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify 1 into 1 2.642 * [backup-simplify]: Simplify (* 1 1) into 1 2.642 * [backup-simplify]: Simplify (* 1 1) into 1 2.643 * [backup-simplify]: Simplify (/ 1 1) into 1 2.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.647 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.648 * [backup-simplify]: Simplify (- 0) into 0 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify 1 into 1 2.648 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.648 * [backup-simplify]: Simplify (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) into (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 2.648 * [approximate]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in (f n) around 0 2.648 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in n 2.648 * [taylor]: Taking taylor expansion of -1 in n 2.648 * [backup-simplify]: Simplify -1 into -1 2.648 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 2.648 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 2.648 * [taylor]: Taking taylor expansion of f in n 2.648 * [backup-simplify]: Simplify f into f 2.648 * [taylor]: Taking taylor expansion of (+ n f) in n 2.648 * [taylor]: Taking taylor expansion of n in n 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify 1 into 1 2.648 * [taylor]: Taking taylor expansion of f in n 2.648 * [backup-simplify]: Simplify f into f 2.648 * [backup-simplify]: Simplify (+ 0 f) into f 2.648 * [backup-simplify]: Simplify (/ f f) into 1 2.648 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 2.648 * [taylor]: Taking taylor expansion of n in n 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify 1 into 1 2.648 * [taylor]: Taking taylor expansion of (+ n f) in n 2.648 * [taylor]: Taking taylor expansion of n in n 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify 1 into 1 2.648 * [taylor]: Taking taylor expansion of f in n 2.648 * [backup-simplify]: Simplify f into f 2.648 * [backup-simplify]: Simplify (+ 0 f) into f 2.648 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.649 * [backup-simplify]: Simplify (+ 1 0) into 1 2.649 * [backup-simplify]: Simplify (/ -1 1) into -1 2.649 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 2.649 * [taylor]: Taking taylor expansion of -1 in f 2.649 * [backup-simplify]: Simplify -1 into -1 2.649 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 2.649 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 2.649 * [taylor]: Taking taylor expansion of f in f 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [taylor]: Taking taylor expansion of (+ n f) in f 2.649 * [taylor]: Taking taylor expansion of n in f 2.649 * [backup-simplify]: Simplify n into n 2.649 * [taylor]: Taking taylor expansion of f in f 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [backup-simplify]: Simplify (+ n 0) into n 2.649 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.649 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 2.649 * [taylor]: Taking taylor expansion of n in f 2.649 * [backup-simplify]: Simplify n into n 2.649 * [taylor]: Taking taylor expansion of (+ n f) in f 2.649 * [taylor]: Taking taylor expansion of n in f 2.649 * [backup-simplify]: Simplify n into n 2.649 * [taylor]: Taking taylor expansion of f in f 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [backup-simplify]: Simplify (+ n 0) into n 2.649 * [backup-simplify]: Simplify (/ n n) into 1 2.650 * [backup-simplify]: Simplify (- 1) into -1 2.650 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.650 * [backup-simplify]: Simplify (/ -1 -1) into 1 2.650 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 2.650 * [taylor]: Taking taylor expansion of -1 in f 2.650 * [backup-simplify]: Simplify -1 into -1 2.650 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 2.650 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 2.650 * [taylor]: Taking taylor expansion of f in f 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify 1 into 1 2.650 * [taylor]: Taking taylor expansion of (+ n f) in f 2.650 * [taylor]: Taking taylor expansion of n in f 2.650 * [backup-simplify]: Simplify n into n 2.650 * [taylor]: Taking taylor expansion of f in f 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify 1 into 1 2.650 * [backup-simplify]: Simplify (+ n 0) into n 2.650 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.650 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 2.650 * [taylor]: Taking taylor expansion of n in f 2.650 * [backup-simplify]: Simplify n into n 2.650 * [taylor]: Taking taylor expansion of (+ n f) in f 2.650 * [taylor]: Taking taylor expansion of n in f 2.650 * [backup-simplify]: Simplify n into n 2.650 * [taylor]: Taking taylor expansion of f in f 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify 1 into 1 2.651 * [backup-simplify]: Simplify (+ n 0) into n 2.651 * [backup-simplify]: Simplify (/ n n) into 1 2.651 * [backup-simplify]: Simplify (- 1) into -1 2.651 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.651 * [backup-simplify]: Simplify (/ -1 -1) into 1 2.651 * [taylor]: Taking taylor expansion of 1 in n 2.651 * [backup-simplify]: Simplify 1 into 1 2.651 * [backup-simplify]: Simplify 1 into 1 2.652 * [backup-simplify]: Simplify (+ 0 1) into 1 2.652 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 2.652 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 2.652 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 2.652 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 n)) 2.652 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.652 * [taylor]: Taking taylor expansion of 2 in n 2.652 * [backup-simplify]: Simplify 2 into 2 2.652 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.652 * [taylor]: Taking taylor expansion of n in n 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 1 into 1 2.653 * [backup-simplify]: Simplify (/ 1 1) into 1 2.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.653 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.653 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify (+ 0 1) into 1 2.654 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 2.654 * [backup-simplify]: Simplify (+ 0 0) into 0 2.654 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 2.654 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 2.655 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 2.655 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 n)) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 2))) 2.655 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.655 * [taylor]: Taking taylor expansion of 2 in n 2.655 * [backup-simplify]: Simplify 2 into 2 2.655 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.655 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.655 * [taylor]: Taking taylor expansion of n in n 2.655 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify 1 into 1 2.655 * [backup-simplify]: Simplify (* 1 1) into 1 2.656 * [backup-simplify]: Simplify (/ 1 1) into 1 2.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.658 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.659 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify (+ 0 0) into 0 2.660 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 2.660 * [backup-simplify]: Simplify (+ 0 0) into 0 2.660 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 2.660 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 2.660 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 2.661 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 (pow n 3))) -1)) (* (* 2 (/ 1 n)) (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 (pow n 2))) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 3))) 2.661 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.661 * [taylor]: Taking taylor expansion of 2 in n 2.661 * [backup-simplify]: Simplify 2 into 2 2.661 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.661 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.661 * [taylor]: Taking taylor expansion of n in n 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify 1 into 1 2.661 * [backup-simplify]: Simplify (* 1 1) into 1 2.662 * [backup-simplify]: Simplify (* 1 1) into 1 2.662 * [backup-simplify]: Simplify (/ 1 1) into 1 2.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.667 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 1 into 1 2.667 * [backup-simplify]: Simplify (/ -1 (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 2.667 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 2.667 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 2.667 * [taylor]: Taking taylor expansion of -1 in n 2.667 * [backup-simplify]: Simplify -1 into -1 2.667 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 2.667 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 2.667 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 2.667 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.667 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.667 * [taylor]: Taking taylor expansion of f in n 2.667 * [backup-simplify]: Simplify f into f 2.667 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.667 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.667 * [taylor]: Taking taylor expansion of n in n 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 1 into 1 2.668 * [backup-simplify]: Simplify (/ 1 1) into 1 2.668 * [taylor]: Taking taylor expansion of f in n 2.668 * [backup-simplify]: Simplify f into f 2.668 * [backup-simplify]: Simplify (+ 0 1) into 1 2.668 * [backup-simplify]: Simplify (* 1 f) into f 2.668 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.668 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 2.668 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 2.668 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.668 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.668 * [taylor]: Taking taylor expansion of f in n 2.668 * [backup-simplify]: Simplify f into f 2.668 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.668 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.668 * [taylor]: Taking taylor expansion of n in n 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify 1 into 1 2.668 * [backup-simplify]: Simplify (/ 1 1) into 1 2.668 * [taylor]: Taking taylor expansion of n in n 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify 1 into 1 2.669 * [backup-simplify]: Simplify (+ 0 1) into 1 2.669 * [backup-simplify]: Simplify (* 1 0) into 0 2.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.670 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 2.670 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 2.670 * [backup-simplify]: Simplify (/ 1 1) into 1 2.670 * [backup-simplify]: Simplify (- 1) into -1 2.670 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.675 * [backup-simplify]: Simplify (/ -1 -1) into 1 2.675 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 2.675 * [taylor]: Taking taylor expansion of -1 in f 2.675 * [backup-simplify]: Simplify -1 into -1 2.675 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 2.675 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 2.675 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 2.675 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.675 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.675 * [taylor]: Taking taylor expansion of f in f 2.675 * [backup-simplify]: Simplify 0 into 0 2.675 * [backup-simplify]: Simplify 1 into 1 2.676 * [backup-simplify]: Simplify (/ 1 1) into 1 2.676 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.676 * [taylor]: Taking taylor expansion of n in f 2.676 * [backup-simplify]: Simplify n into n 2.676 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.676 * [taylor]: Taking taylor expansion of f in f 2.676 * [backup-simplify]: Simplify 0 into 0 2.676 * [backup-simplify]: Simplify 1 into 1 2.676 * [backup-simplify]: Simplify (+ 1 0) into 1 2.676 * [backup-simplify]: Simplify (* 1 0) into 0 2.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.677 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.677 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 2.677 * [backup-simplify]: Simplify (/ 1 1) into 1 2.677 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 2.677 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 2.677 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.677 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.677 * [taylor]: Taking taylor expansion of f in f 2.677 * [backup-simplify]: Simplify 0 into 0 2.677 * [backup-simplify]: Simplify 1 into 1 2.678 * [backup-simplify]: Simplify (/ 1 1) into 1 2.678 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.678 * [taylor]: Taking taylor expansion of n in f 2.678 * [backup-simplify]: Simplify n into n 2.678 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.678 * [taylor]: Taking taylor expansion of n in f 2.678 * [backup-simplify]: Simplify n into n 2.678 * [backup-simplify]: Simplify (+ 1 0) into 1 2.678 * [backup-simplify]: Simplify (* 1 n) into n 2.678 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.678 * [backup-simplify]: Simplify (+ 1 0) into 1 2.679 * [backup-simplify]: Simplify (/ -1 1) into -1 2.679 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 2.679 * [taylor]: Taking taylor expansion of -1 in f 2.679 * [backup-simplify]: Simplify -1 into -1 2.679 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 2.679 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 2.679 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 2.679 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.679 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.679 * [taylor]: Taking taylor expansion of f in f 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 1 into 1 2.679 * [backup-simplify]: Simplify (/ 1 1) into 1 2.679 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.679 * [taylor]: Taking taylor expansion of n in f 2.679 * [backup-simplify]: Simplify n into n 2.679 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.679 * [taylor]: Taking taylor expansion of f in f 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 1 into 1 2.680 * [backup-simplify]: Simplify (+ 1 0) into 1 2.680 * [backup-simplify]: Simplify (* 1 0) into 0 2.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.680 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.681 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 2.681 * [backup-simplify]: Simplify (/ 1 1) into 1 2.681 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 2.681 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 2.681 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.681 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.681 * [taylor]: Taking taylor expansion of f in f 2.681 * [backup-simplify]: Simplify 0 into 0 2.681 * [backup-simplify]: Simplify 1 into 1 2.681 * [backup-simplify]: Simplify (/ 1 1) into 1 2.681 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.681 * [taylor]: Taking taylor expansion of n in f 2.681 * [backup-simplify]: Simplify n into n 2.681 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.681 * [taylor]: Taking taylor expansion of n in f 2.681 * [backup-simplify]: Simplify n into n 2.682 * [backup-simplify]: Simplify (+ 1 0) into 1 2.682 * [backup-simplify]: Simplify (* 1 n) into n 2.682 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.682 * [backup-simplify]: Simplify (+ 1 0) into 1 2.682 * [backup-simplify]: Simplify (/ -1 1) into -1 2.682 * [taylor]: Taking taylor expansion of -1 in n 2.682 * [backup-simplify]: Simplify -1 into -1 2.682 * [backup-simplify]: Simplify -1 into -1 2.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.683 * [backup-simplify]: Simplify (+ 0 0) into 0 2.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 2.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 2.684 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.684 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 2.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 2.684 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.684 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.684 * [taylor]: Taking taylor expansion of 2 in n 2.684 * [backup-simplify]: Simplify 2 into 2 2.684 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.684 * [taylor]: Taking taylor expansion of n in n 2.684 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify 1 into 1 2.685 * [backup-simplify]: Simplify (/ 1 1) into 1 2.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.686 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.686 * [backup-simplify]: Simplify (- 0) into 0 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.687 * [backup-simplify]: Simplify (+ 0 0) into 0 2.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 2.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 2.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.688 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 2.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 2.689 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 2.689 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 2.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.689 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.689 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.690 * [taylor]: Taking taylor expansion of 2 in n 2.690 * [backup-simplify]: Simplify 2 into 2 2.690 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.690 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.690 * [taylor]: Taking taylor expansion of n in n 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 1 into 1 2.690 * [backup-simplify]: Simplify (* 1 1) into 1 2.690 * [backup-simplify]: Simplify (/ 1 1) into 1 2.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.692 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.693 * [backup-simplify]: Simplify (- 0) into 0 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.694 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.694 * [backup-simplify]: Simplify (- 0) into 0 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.695 * [backup-simplify]: Simplify (+ 0 0) into 0 2.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 2.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.697 * [backup-simplify]: Simplify (+ 0 0) into 0 2.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 2.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 2.698 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 2.698 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 2.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.699 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.699 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.699 * [taylor]: Taking taylor expansion of 2 in n 2.699 * [backup-simplify]: Simplify 2 into 2 2.699 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.699 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.699 * [taylor]: Taking taylor expansion of n in n 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 1 into 1 2.699 * [backup-simplify]: Simplify (* 1 1) into 1 2.699 * [backup-simplify]: Simplify (* 1 1) into 1 2.700 * [backup-simplify]: Simplify (/ 1 1) into 1 2.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.704 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.705 * [backup-simplify]: Simplify (- 0) into 0 2.705 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify -1 into -1 2.705 * [backup-simplify]: Simplify (/ -1 (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 2.705 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 2.705 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 2.705 * [taylor]: Taking taylor expansion of -1 in n 2.705 * [backup-simplify]: Simplify -1 into -1 2.705 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 2.705 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 2.705 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 2.705 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.705 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.705 * [taylor]: Taking taylor expansion of f in n 2.705 * [backup-simplify]: Simplify f into f 2.705 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.705 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.705 * [taylor]: Taking taylor expansion of n in n 2.705 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify 1 into 1 2.706 * [backup-simplify]: Simplify (/ 1 1) into 1 2.706 * [taylor]: Taking taylor expansion of f in n 2.706 * [backup-simplify]: Simplify f into f 2.706 * [backup-simplify]: Simplify (+ 0 1) into 1 2.706 * [backup-simplify]: Simplify (* 1 f) into f 2.706 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.706 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 2.706 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 2.706 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.706 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.706 * [taylor]: Taking taylor expansion of f in n 2.706 * [backup-simplify]: Simplify f into f 2.706 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.706 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.706 * [taylor]: Taking taylor expansion of n in n 2.706 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify 1 into 1 2.706 * [backup-simplify]: Simplify (/ 1 1) into 1 2.706 * [taylor]: Taking taylor expansion of n in n 2.706 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify 1 into 1 2.707 * [backup-simplify]: Simplify (+ 0 1) into 1 2.707 * [backup-simplify]: Simplify (* 1 0) into 0 2.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.707 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 2.708 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 2.708 * [backup-simplify]: Simplify (/ 1 1) into 1 2.708 * [backup-simplify]: Simplify (- 1) into -1 2.708 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.709 * [backup-simplify]: Simplify (/ -1 -1) into 1 2.709 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 2.709 * [taylor]: Taking taylor expansion of -1 in f 2.709 * [backup-simplify]: Simplify -1 into -1 2.709 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 2.709 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 2.709 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 2.709 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.709 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.709 * [taylor]: Taking taylor expansion of f in f 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 1 into 1 2.709 * [backup-simplify]: Simplify (/ 1 1) into 1 2.709 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.709 * [taylor]: Taking taylor expansion of n in f 2.709 * [backup-simplify]: Simplify n into n 2.709 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.709 * [taylor]: Taking taylor expansion of f in f 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 1 into 1 2.709 * [backup-simplify]: Simplify (+ 1 0) into 1 2.710 * [backup-simplify]: Simplify (* 1 0) into 0 2.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.710 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.710 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 2.711 * [backup-simplify]: Simplify (/ 1 1) into 1 2.711 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 2.711 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 2.711 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.711 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.711 * [taylor]: Taking taylor expansion of f in f 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (/ 1 1) into 1 2.711 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.711 * [taylor]: Taking taylor expansion of n in f 2.711 * [backup-simplify]: Simplify n into n 2.711 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.711 * [taylor]: Taking taylor expansion of n in f 2.711 * [backup-simplify]: Simplify n into n 2.711 * [backup-simplify]: Simplify (+ 1 0) into 1 2.711 * [backup-simplify]: Simplify (* 1 n) into n 2.711 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.712 * [backup-simplify]: Simplify (+ 1 0) into 1 2.712 * [backup-simplify]: Simplify (/ -1 1) into -1 2.712 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 2.712 * [taylor]: Taking taylor expansion of -1 in f 2.712 * [backup-simplify]: Simplify -1 into -1 2.712 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 2.712 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 2.712 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 2.712 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.712 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.712 * [taylor]: Taking taylor expansion of f in f 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify 1 into 1 2.712 * [backup-simplify]: Simplify (/ 1 1) into 1 2.712 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.712 * [taylor]: Taking taylor expansion of n in f 2.712 * [backup-simplify]: Simplify n into n 2.712 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.712 * [taylor]: Taking taylor expansion of f in f 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify 1 into 1 2.713 * [backup-simplify]: Simplify (+ 1 0) into 1 2.713 * [backup-simplify]: Simplify (* 1 0) into 0 2.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.713 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.714 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 2.714 * [backup-simplify]: Simplify (/ 1 1) into 1 2.714 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 2.714 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 2.714 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.714 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.714 * [taylor]: Taking taylor expansion of f in f 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 1 into 1 2.714 * [backup-simplify]: Simplify (/ 1 1) into 1 2.714 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.714 * [taylor]: Taking taylor expansion of n in f 2.714 * [backup-simplify]: Simplify n into n 2.714 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.714 * [taylor]: Taking taylor expansion of n in f 2.714 * [backup-simplify]: Simplify n into n 2.715 * [backup-simplify]: Simplify (+ 1 0) into 1 2.715 * [backup-simplify]: Simplify (* 1 n) into n 2.715 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.715 * [backup-simplify]: Simplify (+ 1 0) into 1 2.715 * [backup-simplify]: Simplify (/ -1 1) into -1 2.715 * [taylor]: Taking taylor expansion of -1 in n 2.715 * [backup-simplify]: Simplify -1 into -1 2.715 * [backup-simplify]: Simplify -1 into -1 2.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.716 * [backup-simplify]: Simplify (+ 0 0) into 0 2.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 2.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 2.717 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.717 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 2.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 2.717 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.717 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.717 * [taylor]: Taking taylor expansion of 2 in n 2.717 * [backup-simplify]: Simplify 2 into 2 2.717 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.717 * [taylor]: Taking taylor expansion of n in n 2.717 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify 1 into 1 2.718 * [backup-simplify]: Simplify (/ 1 1) into 1 2.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.718 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.719 * [backup-simplify]: Simplify (- 0) into 0 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.720 * [backup-simplify]: Simplify (+ 0 0) into 0 2.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 2.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 2.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.721 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.721 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 2.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 2.722 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 2.722 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 2.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.722 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.722 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.722 * [taylor]: Taking taylor expansion of 2 in n 2.722 * [backup-simplify]: Simplify 2 into 2 2.722 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.722 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.722 * [taylor]: Taking taylor expansion of n in n 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify 1 into 1 2.723 * [backup-simplify]: Simplify (* 1 1) into 1 2.723 * [backup-simplify]: Simplify (/ 1 1) into 1 2.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.725 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.726 * [backup-simplify]: Simplify (- 0) into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.727 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.727 * [backup-simplify]: Simplify (- 0) into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.728 * [backup-simplify]: Simplify (+ 0 0) into 0 2.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 2.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.730 * [backup-simplify]: Simplify (+ 0 0) into 0 2.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 2.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 2.731 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 2.731 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 2.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.732 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.732 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.732 * [taylor]: Taking taylor expansion of 2 in n 2.732 * [backup-simplify]: Simplify 2 into 2 2.732 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.732 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.732 * [taylor]: Taking taylor expansion of n in n 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.732 * [backup-simplify]: Simplify (* 1 1) into 1 2.733 * [backup-simplify]: Simplify (* 1 1) into 1 2.733 * [backup-simplify]: Simplify (/ 1 1) into 1 2.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.738 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.738 * [backup-simplify]: Simplify (- 0) into 0 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify -1 into -1 2.738 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.738 * [backup-simplify]: Simplify (/ f (+ f n)) into (/ f (+ n f)) 2.738 * [approximate]: Taking taylor expansion of (/ f (+ n f)) in (f n) around 0 2.738 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 2.738 * [taylor]: Taking taylor expansion of f in n 2.738 * [backup-simplify]: Simplify f into f 2.738 * [taylor]: Taking taylor expansion of (+ n f) in n 2.738 * [taylor]: Taking taylor expansion of n in n 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [taylor]: Taking taylor expansion of f in n 2.738 * [backup-simplify]: Simplify f into f 2.738 * [backup-simplify]: Simplify (+ 0 f) into f 2.738 * [backup-simplify]: Simplify (/ f f) into 1 2.738 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 2.738 * [taylor]: Taking taylor expansion of f in f 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [taylor]: Taking taylor expansion of (+ n f) in f 2.738 * [taylor]: Taking taylor expansion of n in f 2.738 * [backup-simplify]: Simplify n into n 2.738 * [taylor]: Taking taylor expansion of f in f 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [backup-simplify]: Simplify (+ n 0) into n 2.739 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.739 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 2.739 * [taylor]: Taking taylor expansion of f in f 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [taylor]: Taking taylor expansion of (+ n f) in f 2.739 * [taylor]: Taking taylor expansion of n in f 2.739 * [backup-simplify]: Simplify n into n 2.739 * [taylor]: Taking taylor expansion of f in f 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (+ n 0) into n 2.739 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.739 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.739 * [taylor]: Taking taylor expansion of n in n 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (/ 1 1) into 1 2.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify (+ 0 1) into 1 2.740 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 2.740 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 2.740 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.740 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.740 * [taylor]: Taking taylor expansion of n in n 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (* 1 1) into 1 2.740 * [backup-simplify]: Simplify (/ 1 1) into 1 2.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (- 0) into 0 2.742 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify (+ 0 0) into 0 2.743 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 2.744 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.744 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.744 * [taylor]: Taking taylor expansion of n in n 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [backup-simplify]: Simplify (* 1 1) into 1 2.744 * [backup-simplify]: Simplify (* 1 1) into 1 2.744 * [backup-simplify]: Simplify (/ 1 1) into 1 2.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.750 * [backup-simplify]: Simplify (- 0) into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 2.751 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 2.751 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 2.751 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 2.751 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.751 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.751 * [taylor]: Taking taylor expansion of f in n 2.751 * [backup-simplify]: Simplify f into f 2.751 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.751 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.751 * [taylor]: Taking taylor expansion of n in n 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.751 * [backup-simplify]: Simplify (/ 1 1) into 1 2.751 * [taylor]: Taking taylor expansion of f in n 2.751 * [backup-simplify]: Simplify f into f 2.751 * [backup-simplify]: Simplify (+ 0 1) into 1 2.751 * [backup-simplify]: Simplify (* 1 f) into f 2.751 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.751 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 2.751 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 2.751 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.751 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.751 * [taylor]: Taking taylor expansion of f in f 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (/ 1 1) into 1 2.752 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.752 * [taylor]: Taking taylor expansion of n in f 2.752 * [backup-simplify]: Simplify n into n 2.752 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.752 * [taylor]: Taking taylor expansion of f in f 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (+ 1 0) into 1 2.752 * [backup-simplify]: Simplify (* 1 0) into 0 2.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.753 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.753 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 2.753 * [backup-simplify]: Simplify (/ 1 1) into 1 2.753 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 2.753 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 2.753 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.753 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.753 * [taylor]: Taking taylor expansion of f in f 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.754 * [backup-simplify]: Simplify (/ 1 1) into 1 2.754 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.754 * [taylor]: Taking taylor expansion of n in f 2.754 * [backup-simplify]: Simplify n into n 2.754 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.754 * [taylor]: Taking taylor expansion of f in f 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 1 into 1 2.754 * [backup-simplify]: Simplify (+ 1 0) into 1 2.754 * [backup-simplify]: Simplify (* 1 0) into 0 2.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.755 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.755 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 2.755 * [backup-simplify]: Simplify (/ 1 1) into 1 2.755 * [taylor]: Taking taylor expansion of 1 in n 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.756 * [backup-simplify]: Simplify (+ 0 0) into 0 2.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 2.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 2.757 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 2.757 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.757 * [taylor]: Taking taylor expansion of n in n 2.757 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify 1 into 1 2.757 * [backup-simplify]: Simplify (/ 1 1) into 1 2.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.758 * [backup-simplify]: Simplify (- 0) into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.759 * [backup-simplify]: Simplify (+ 0 0) into 0 2.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 2.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 2.760 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.760 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.760 * [taylor]: Taking taylor expansion of n in n 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify (* 1 1) into 1 2.761 * [backup-simplify]: Simplify (/ 1 1) into 1 2.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.764 * [backup-simplify]: Simplify (- 0) into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 2.765 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 2.765 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 2.765 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 2.765 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.765 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.765 * [taylor]: Taking taylor expansion of f in n 2.765 * [backup-simplify]: Simplify f into f 2.765 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.765 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.765 * [taylor]: Taking taylor expansion of n in n 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 1 into 1 2.765 * [backup-simplify]: Simplify (/ 1 1) into 1 2.765 * [taylor]: Taking taylor expansion of f in n 2.765 * [backup-simplify]: Simplify f into f 2.765 * [backup-simplify]: Simplify (+ 0 1) into 1 2.765 * [backup-simplify]: Simplify (* 1 f) into f 2.765 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.765 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 2.765 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 2.765 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.765 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.765 * [taylor]: Taking taylor expansion of f in f 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 1 into 1 2.766 * [backup-simplify]: Simplify (/ 1 1) into 1 2.766 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.766 * [taylor]: Taking taylor expansion of n in f 2.766 * [backup-simplify]: Simplify n into n 2.766 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.766 * [taylor]: Taking taylor expansion of f in f 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 1 into 1 2.766 * [backup-simplify]: Simplify (+ 1 0) into 1 2.766 * [backup-simplify]: Simplify (* 1 0) into 0 2.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.767 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.771 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 2.771 * [backup-simplify]: Simplify (/ 1 1) into 1 2.772 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 2.772 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 2.772 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.772 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.772 * [taylor]: Taking taylor expansion of f in f 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 1 into 1 2.772 * [backup-simplify]: Simplify (/ 1 1) into 1 2.772 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.772 * [taylor]: Taking taylor expansion of n in f 2.772 * [backup-simplify]: Simplify n into n 2.772 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.772 * [taylor]: Taking taylor expansion of f in f 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 1 into 1 2.772 * [backup-simplify]: Simplify (+ 1 0) into 1 2.773 * [backup-simplify]: Simplify (* 1 0) into 0 2.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.773 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.773 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 2.774 * [backup-simplify]: Simplify (/ 1 1) into 1 2.774 * [taylor]: Taking taylor expansion of 1 in n 2.774 * [backup-simplify]: Simplify 1 into 1 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.774 * [backup-simplify]: Simplify (+ 0 0) into 0 2.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 2.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 2.775 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 2.775 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.775 * [taylor]: Taking taylor expansion of n in n 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [backup-simplify]: Simplify (/ 1 1) into 1 2.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.777 * [backup-simplify]: Simplify (- 0) into 0 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.777 * [backup-simplify]: Simplify (+ 0 0) into 0 2.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 2.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 2.779 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.779 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.779 * [taylor]: Taking taylor expansion of n in n 2.779 * [backup-simplify]: Simplify 0 into 0 2.779 * [backup-simplify]: Simplify 1 into 1 2.779 * [backup-simplify]: Simplify (* 1 1) into 1 2.779 * [backup-simplify]: Simplify (/ 1 1) into 1 2.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.782 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.783 * [backup-simplify]: Simplify (- 0) into 0 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.783 * [backup-simplify]: Simplify (/ n (+ f n)) into (/ n (+ n f)) 2.783 * [approximate]: Taking taylor expansion of (/ n (+ n f)) in (n f) around 0 2.783 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 2.783 * [taylor]: Taking taylor expansion of n in f 2.783 * [backup-simplify]: Simplify n into n 2.783 * [taylor]: Taking taylor expansion of (+ n f) in f 2.783 * [taylor]: Taking taylor expansion of n in f 2.783 * [backup-simplify]: Simplify n into n 2.783 * [taylor]: Taking taylor expansion of f in f 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 1 into 1 2.783 * [backup-simplify]: Simplify (+ n 0) into n 2.783 * [backup-simplify]: Simplify (/ n n) into 1 2.783 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 2.783 * [taylor]: Taking taylor expansion of n in n 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 1 into 1 2.783 * [taylor]: Taking taylor expansion of (+ n f) in n 2.783 * [taylor]: Taking taylor expansion of n in n 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 1 into 1 2.784 * [taylor]: Taking taylor expansion of f in n 2.784 * [backup-simplify]: Simplify f into f 2.784 * [backup-simplify]: Simplify (+ 0 f) into f 2.784 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.784 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 2.784 * [taylor]: Taking taylor expansion of n in n 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 1 into 1 2.784 * [taylor]: Taking taylor expansion of (+ n f) in n 2.784 * [taylor]: Taking taylor expansion of n in n 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 1 into 1 2.784 * [taylor]: Taking taylor expansion of f in n 2.784 * [backup-simplify]: Simplify f into f 2.784 * [backup-simplify]: Simplify (+ 0 f) into f 2.784 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.784 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.784 * [taylor]: Taking taylor expansion of f in f 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 1 into 1 2.784 * [backup-simplify]: Simplify (/ 1 1) into 1 2.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (+ 1 0) into 1 2.785 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 1 f)))) into (- (/ 1 (pow f 2))) 2.785 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 2.785 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 2.785 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.785 * [taylor]: Taking taylor expansion of f in f 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify 1 into 1 2.785 * [backup-simplify]: Simplify (* 1 1) into 1 2.786 * [backup-simplify]: Simplify (/ 1 1) into 1 2.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.788 * [backup-simplify]: Simplify (- 0) into 0 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify (+ 0 0) into 0 2.789 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 0 f)) (* (- (/ 1 (pow f 2))) (/ 1 f)))) into (/ 1 (pow f 3)) 2.789 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 2.789 * [taylor]: Taking taylor expansion of (pow f 3) in f 2.789 * [taylor]: Taking taylor expansion of f in f 2.789 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify 1 into 1 2.789 * [backup-simplify]: Simplify (* 1 1) into 1 2.789 * [backup-simplify]: Simplify (* 1 1) into 1 2.790 * [backup-simplify]: Simplify (/ 1 1) into 1 2.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.795 * [backup-simplify]: Simplify (- 0) into 0 2.795 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 2.796 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 2.796 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 2.796 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 2.796 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.796 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.796 * [taylor]: Taking taylor expansion of f in f 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 1 into 1 2.796 * [backup-simplify]: Simplify (/ 1 1) into 1 2.796 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.796 * [taylor]: Taking taylor expansion of n in f 2.796 * [backup-simplify]: Simplify n into n 2.797 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.797 * [taylor]: Taking taylor expansion of n in f 2.797 * [backup-simplify]: Simplify n into n 2.797 * [backup-simplify]: Simplify (+ 1 0) into 1 2.797 * [backup-simplify]: Simplify (* 1 n) into n 2.797 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.797 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 2.797 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 2.797 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.797 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.797 * [taylor]: Taking taylor expansion of f in n 2.797 * [backup-simplify]: Simplify f into f 2.797 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.797 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.797 * [taylor]: Taking taylor expansion of n in n 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 1 into 1 2.797 * [backup-simplify]: Simplify (/ 1 1) into 1 2.797 * [taylor]: Taking taylor expansion of n in n 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 1 into 1 2.798 * [backup-simplify]: Simplify (+ 0 1) into 1 2.798 * [backup-simplify]: Simplify (* 1 0) into 0 2.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.798 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 2.799 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 2.799 * [backup-simplify]: Simplify (/ 1 1) into 1 2.799 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 2.799 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 2.799 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.799 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.799 * [taylor]: Taking taylor expansion of f in n 2.799 * [backup-simplify]: Simplify f into f 2.799 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.799 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.799 * [taylor]: Taking taylor expansion of n in n 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.799 * [backup-simplify]: Simplify (/ 1 1) into 1 2.799 * [taylor]: Taking taylor expansion of n in n 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.800 * [backup-simplify]: Simplify (+ 0 1) into 1 2.800 * [backup-simplify]: Simplify (* 1 0) into 0 2.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.800 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 2.801 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 2.801 * [backup-simplify]: Simplify (/ 1 1) into 1 2.801 * [taylor]: Taking taylor expansion of 1 in f 2.801 * [backup-simplify]: Simplify 1 into 1 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 2.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.802 * [backup-simplify]: Simplify (+ 0 0) into 0 2.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 2.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 2.803 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 2.803 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.803 * [taylor]: Taking taylor expansion of f in f 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 1 into 1 2.803 * [backup-simplify]: Simplify (/ 1 1) into 1 2.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.804 * [backup-simplify]: Simplify (- 0) into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 2.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.805 * [backup-simplify]: Simplify (+ 0 0) into 0 2.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 2.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 2.806 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.806 * [taylor]: Taking taylor expansion of f in f 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify (* 1 1) into 1 2.807 * [backup-simplify]: Simplify (/ 1 1) into 1 2.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.809 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.810 * [backup-simplify]: Simplify (- 0) into 0 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 2.810 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 2.810 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 2.810 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 2.810 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.810 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.810 * [taylor]: Taking taylor expansion of f in f 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.811 * [backup-simplify]: Simplify (/ 1 1) into 1 2.811 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.811 * [taylor]: Taking taylor expansion of n in f 2.811 * [backup-simplify]: Simplify n into n 2.811 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.811 * [taylor]: Taking taylor expansion of n in f 2.811 * [backup-simplify]: Simplify n into n 2.811 * [backup-simplify]: Simplify (+ 1 0) into 1 2.811 * [backup-simplify]: Simplify (* 1 n) into n 2.811 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.811 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 2.811 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 2.811 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.811 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.811 * [taylor]: Taking taylor expansion of f in n 2.811 * [backup-simplify]: Simplify f into f 2.811 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.811 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.811 * [taylor]: Taking taylor expansion of n in n 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 1 into 1 2.812 * [backup-simplify]: Simplify (/ 1 1) into 1 2.812 * [taylor]: Taking taylor expansion of n in n 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 1 into 1 2.812 * [backup-simplify]: Simplify (+ 0 1) into 1 2.812 * [backup-simplify]: Simplify (* 1 0) into 0 2.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.813 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 2.813 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 2.813 * [backup-simplify]: Simplify (/ 1 1) into 1 2.813 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 2.813 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 2.813 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.813 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.813 * [taylor]: Taking taylor expansion of f in n 2.813 * [backup-simplify]: Simplify f into f 2.813 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.813 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.813 * [taylor]: Taking taylor expansion of n in n 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify 1 into 1 2.814 * [backup-simplify]: Simplify (/ 1 1) into 1 2.814 * [taylor]: Taking taylor expansion of n in n 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 1 into 1 2.814 * [backup-simplify]: Simplify (+ 0 1) into 1 2.814 * [backup-simplify]: Simplify (* 1 0) into 0 2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.815 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 2.815 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 2.815 * [backup-simplify]: Simplify (/ 1 1) into 1 2.815 * [taylor]: Taking taylor expansion of 1 in f 2.815 * [backup-simplify]: Simplify 1 into 1 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 2.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.816 * [backup-simplify]: Simplify (+ 0 0) into 0 2.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 2.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 2.817 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 2.817 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.817 * [taylor]: Taking taylor expansion of f in f 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 1 into 1 2.817 * [backup-simplify]: Simplify (/ 1 1) into 1 2.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.818 * [backup-simplify]: Simplify (- 0) into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 2.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (+ 0 0) into 0 2.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 2.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 2.820 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 2.820 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.820 * [taylor]: Taking taylor expansion of f in f 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 1 into 1 2.820 * [backup-simplify]: Simplify (* 1 1) into 1 2.821 * [backup-simplify]: Simplify (/ 1 1) into 1 2.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.824 * [backup-simplify]: Simplify (- 0) into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * * * [progress]: simplifying candidates 2.827 * [simplify]: Simplifying: (/ (exp (/ f (+ f n))) (exp (/ n (+ f n)))) (log (- (/ f (+ f n)) (/ n (+ f n)))) (exp (- (/ f (+ f n)) (/ n (+ f n)))) (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n))))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (* (* (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n)))) (sqrt (- (/ f (+ f n)) (/ n (+ f n)))) (sqrt (- (/ f (+ f n)) (/ n (+ f n)))) (- f n) (- (* f (+ f n)) (* (+ f n) n)) (* (+ f n) (+ f n)) (- (pow (/ f (+ f n)) 3) (pow (/ n (+ f n)) 3)) (+ (* (/ f (+ f n)) (/ f (+ f n))) (+ (* (/ n (+ f n)) (/ n (+ f n))) (* (/ f (+ f n)) (/ n (+ f n))))) (- (/ n (+ f n))) (- (* (/ f (+ f n)) (/ f (+ f n))) (* (/ n (+ f n)) (/ n (+ f n)))) (+ (/ f (+ f n)) (/ n (+ f n))) (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n)))) (- (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n)))) (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n)))) (- (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n)))) (+ (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (/ f (cbrt (+ f n))) (/ n (cbrt (+ f n)))) (- (/ f (sqrt (+ f n))) (/ n (sqrt (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- f n) (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3)))) (- (/ f (- (* f f) (* n n))) (/ n (- (* f f) (* n n)))) (- (/ n (+ f n))) (- (log -1) (log (- (/ f (+ f n)) (/ n (+ f n))))) (log (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (exp (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (/ (* (* -1 -1) -1) (* (* (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n))))) (* (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ 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3))) (/ h0 (- (* h0 h0) (* h1 h1))) (- (log h1) (log (+ h0 h1))) (log (/ h1 (+ h0 h1))) (exp (/ h1 (+ h0 h1))) (/ (* (* h1 h1) h1) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (/ h1 (+ h0 h1))) (cbrt (/ h1 (+ h0 h1)))) (cbrt (/ h1 (+ h0 h1))) (* (* (/ h1 (+ h0 h1)) (/ h1 (+ h0 h1))) (/ h1 (+ h0 h1))) (sqrt (/ h1 (+ h0 h1))) (sqrt (/ h1 (+ h0 h1))) (- h1) (- (+ h0 h1)) (/ (* (cbrt h1) (cbrt h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (cbrt h1) (cbrt (+ h0 h1))) (/ (* (cbrt h1) (cbrt h1)) (sqrt (+ h0 h1))) (/ (cbrt h1) (sqrt (+ h0 h1))) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (+ h0 h1)) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (+ h0 h1)) (/ (sqrt h1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (sqrt h1) (cbrt (+ h0 h1))) (/ (sqrt h1) (sqrt (+ h0 h1))) (/ (sqrt h1) (sqrt (+ h0 h1))) (/ (sqrt h1) 1) (/ (sqrt h1) (+ h0 h1)) (/ (sqrt h1) 1) (/ (sqrt h1) (+ h0 h1)) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ h1 (cbrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ h1 (sqrt (+ h0 h1))) (/ 1 1) (/ h1 (+ h0 h1)) (/ 1 1) (/ h1 (+ h0 h1)) (/ 1 (+ h0 h1)) (/ (+ h0 h1) h1) (/ h1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ h1 (sqrt (+ h0 h1))) (/ h1 1) (/ h1 1) (/ (+ h0 h1) (cbrt h1)) (/ (+ h0 h1) (sqrt h1)) (/ (+ h0 h1) h1) (/ h1 (+ (pow h0 3) (pow h1 3))) (/ h1 (- (* h0 h0) (* h1 h1))) -1 1 1 1 -1 -1 0 0 0 0 0 0 2.835 * * [simplify]: iteration 0 : 450 enodes (cost 1472 ) 2.843 * * [simplify]: iteration 1 : 1920 enodes (cost 1424 ) 2.875 * * [simplify]: iteration 2 : 5001 enodes (cost 1349 ) 2.882 * * * [progress]: adding candidates to table 3.190 * [progress]: [Phase 3 of 3] Extracting. 3.190 * * [regime]: Finding splitpoints for: (# # #) 3.191 * * * [regime-changes]: Trying 2 branch expressions: (n f) 3.191 * * * * [regimes]: Trying to branch on n from (# # #) 3.209 * * * * [regimes]: Trying to branch on f from (# # #) 3.222 * * * [regime]: Found split indices: #