0.726 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.311 * * * [progress]: [2/2] Setting up program. 0.314 * [progress]: [Phase 2 of 3] Improving. 0.316 * [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 ) 0.321 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.322 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.324 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.326 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.327 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.328 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.330 * * [progress]: iteration 1 / 4 0.330 * * * [progress]: picking best candidate 0.331 * * * * [pick]: Picked # 0.331 * * * [progress]: localizing error 0.339 * * * [progress]: generating rewritten candidates 0.339 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.405 * * * [progress]: generating series expansions 0.405 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.410 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.410 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.411 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.411 * [taylor]: Taking taylor expansion of -1 in n 0.411 * [backup-simplify]: Simplify -1 into -1 0.411 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.411 * [taylor]: Taking taylor expansion of (+ n f) in n 0.411 * [taylor]: Taking taylor expansion of n in n 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of f in n 0.411 * [backup-simplify]: Simplify f into f 0.411 * [taylor]: Taking taylor expansion of (- f n) in n 0.411 * [taylor]: Taking taylor expansion of f in n 0.411 * [backup-simplify]: Simplify f into f 0.411 * [taylor]: Taking taylor expansion of n in n 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (+ 0 f) into f 0.412 * [backup-simplify]: Simplify (- 0) into 0 0.412 * [backup-simplify]: Simplify (+ f 0) into f 0.412 * [backup-simplify]: Simplify (/ f f) into 1 0.412 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.412 * [taylor]: Taking taylor expansion of -1 in f 0.412 * [backup-simplify]: Simplify -1 into -1 0.413 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.413 * [taylor]: Taking taylor expansion of (+ n f) in f 0.413 * [taylor]: Taking taylor expansion of n in f 0.413 * [backup-simplify]: Simplify n into n 0.413 * [taylor]: Taking taylor expansion of f in f 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of (- f n) in f 0.413 * [taylor]: Taking taylor expansion of f in f 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of n in f 0.413 * [backup-simplify]: Simplify n into n 0.413 * [backup-simplify]: Simplify (+ n 0) into n 0.413 * [backup-simplify]: Simplify (- n) into (- n) 0.413 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.413 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.413 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.413 * [taylor]: Taking taylor expansion of -1 in f 0.413 * [backup-simplify]: Simplify -1 into -1 0.413 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.413 * [taylor]: Taking taylor expansion of (+ n f) in f 0.413 * [taylor]: Taking taylor expansion of n in f 0.413 * [backup-simplify]: Simplify n into n 0.413 * [taylor]: Taking taylor expansion of f in f 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of (- f n) in f 0.413 * [taylor]: Taking taylor expansion of f in f 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of n in f 0.413 * [backup-simplify]: Simplify n into n 0.413 * [backup-simplify]: Simplify (+ n 0) into n 0.413 * [backup-simplify]: Simplify (- n) into (- n) 0.413 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.413 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.414 * [backup-simplify]: Simplify (* -1 -1) into 1 0.414 * [taylor]: Taking taylor expansion of 1 in n 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (+ 0 1) into 1 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ 1 0) into 1 0.415 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.416 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.416 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.416 * [taylor]: Taking taylor expansion of 2 in n 0.416 * [backup-simplify]: Simplify 2 into 2 0.416 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.416 * [taylor]: Taking taylor expansion of n in n 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (- 0) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.419 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.419 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.419 * [taylor]: Taking taylor expansion of 2 in n 0.419 * [backup-simplify]: Simplify 2 into 2 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.419 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.419 * [taylor]: Taking taylor expansion of n in n 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [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)))) 0.425 * [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))) 0.425 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.425 * [taylor]: Taking taylor expansion of 2 in n 0.425 * [backup-simplify]: Simplify 2 into 2 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.425 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.425 * [taylor]: Taking taylor expansion of n in n 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (* 1 1) into 1 0.425 * [backup-simplify]: Simplify (* 1 1) into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.428 * [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 0.429 * [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 0.430 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [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 0.431 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.431 * [taylor]: Taking taylor expansion of f in n 0.431 * [backup-simplify]: Simplify f into f 0.431 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.431 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.431 * [taylor]: Taking taylor expansion of n in n 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (/ 1 1) into 1 0.431 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.431 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.431 * [taylor]: Taking taylor expansion of f in n 0.431 * [backup-simplify]: Simplify f into f 0.431 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.431 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.431 * [taylor]: Taking taylor expansion of n in n 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [backup-simplify]: Simplify (+ 0 1) into 1 0.432 * [backup-simplify]: Simplify (- 1) into -1 0.432 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.433 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.433 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.433 * [taylor]: Taking taylor expansion of -1 in f 0.433 * [backup-simplify]: Simplify -1 into -1 0.433 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.433 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.433 * [taylor]: Taking taylor expansion of f in f 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.433 * [taylor]: Taking taylor expansion of n in f 0.433 * [backup-simplify]: Simplify n into n 0.433 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.433 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.433 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.433 * [taylor]: Taking taylor expansion of f in f 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.433 * [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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.434 * [backup-simplify]: Simplify (+ 1 0) into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.434 * [taylor]: Taking taylor expansion of -1 in f 0.434 * [backup-simplify]: Simplify -1 into -1 0.434 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.434 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.434 * [taylor]: Taking taylor expansion of f in f 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.435 * [taylor]: Taking taylor expansion of n in f 0.435 * [backup-simplify]: Simplify n into n 0.435 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.435 * [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 0.435 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.435 * [taylor]: Taking taylor expansion of n in f 0.435 * [backup-simplify]: Simplify n into n 0.435 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.435 * [backup-simplify]: Simplify (+ 1 0) into 1 0.436 * [backup-simplify]: Simplify (+ 1 0) into 1 0.436 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [backup-simplify]: Simplify (* -1 1) into -1 0.436 * [taylor]: Taking taylor expansion of -1 in n 0.436 * [backup-simplify]: Simplify -1 into -1 0.436 * [backup-simplify]: Simplify -1 into -1 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.437 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.437 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.438 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.438 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.438 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.438 * [taylor]: Taking taylor expansion of 2 in n 0.438 * [backup-simplify]: Simplify 2 into 2 0.438 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.438 * [taylor]: Taking taylor expansion of n in n 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.439 * [backup-simplify]: Simplify (- 0) into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.440 * [backup-simplify]: Simplify (- 0) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.442 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.442 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.442 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.442 * [taylor]: Taking taylor expansion of 2 in n 0.442 * [backup-simplify]: Simplify 2 into 2 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.442 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.442 * [taylor]: Taking taylor expansion of n in n 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [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 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.448 * [backup-simplify]: Simplify (- 0) into 0 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [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))) 0.449 * [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)))) 0.449 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.449 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.449 * [taylor]: Taking taylor expansion of 2 in n 0.449 * [backup-simplify]: Simplify 2 into 2 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.449 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.449 * [taylor]: Taking taylor expansion of n in n 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (* 1 1) into 1 0.450 * [backup-simplify]: Simplify (* 1 1) into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify -1 into -1 0.455 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.455 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.455 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.455 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.455 * [taylor]: Taking taylor expansion of f in n 0.455 * [backup-simplify]: Simplify f into f 0.455 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.455 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.455 * [taylor]: Taking taylor expansion of n in n 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.456 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.456 * [taylor]: Taking taylor expansion of n in n 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.456 * [taylor]: Taking taylor expansion of f in n 0.456 * [backup-simplify]: Simplify f into f 0.456 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.456 * [backup-simplify]: Simplify (+ 0 1) into 1 0.457 * [backup-simplify]: Simplify (+ 1 0) into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.457 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.457 * [taylor]: Taking taylor expansion of f in f 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.457 * [taylor]: Taking taylor expansion of n in f 0.457 * [backup-simplify]: Simplify n into n 0.457 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.457 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.457 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.457 * [taylor]: Taking taylor expansion of n in f 0.457 * [backup-simplify]: Simplify n into n 0.458 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.458 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.458 * [taylor]: Taking taylor expansion of f in f 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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.458 * [backup-simplify]: Simplify (- 1) into -1 0.459 * [backup-simplify]: Simplify (+ 0 -1) 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) 0.459 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 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) 0.459 * [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 0.460 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [backup-simplify]: Simplify (+ 1 0) into 1 0.460 * [backup-simplify]: Simplify (- 1) into -1 0.460 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.461 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.461 * [taylor]: Taking taylor expansion of -1 in n 0.461 * [backup-simplify]: Simplify -1 into -1 0.461 * [backup-simplify]: Simplify -1 into -1 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.466 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.466 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.466 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.466 * [taylor]: Taking taylor expansion of 2 in n 0.466 * [backup-simplify]: Simplify 2 into 2 0.466 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.466 * [taylor]: Taking taylor expansion of n in n 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.467 * [backup-simplify]: Simplify (- 0) into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (- 0) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.470 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.470 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.470 * [taylor]: Taking taylor expansion of 2 in n 0.470 * [backup-simplify]: Simplify 2 into 2 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.470 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.470 * [taylor]: Taking taylor expansion of n in n 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (* 1 1) into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.474 * [backup-simplify]: Simplify (- 0) into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (- 0) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [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)))) 0.477 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.477 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.477 * [taylor]: Taking taylor expansion of 2 in n 0.477 * [backup-simplify]: Simplify 2 into 2 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.477 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.477 * [taylor]: Taking taylor expansion of n in n 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (* 1 1) into 1 0.478 * [backup-simplify]: Simplify (* 1 1) into 1 0.478 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (- 0) into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify -1 into -1 0.483 * * * [progress]: simplifying candidates 0.485 * [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 0.485 * [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 0.490 * * [simplify]: iteration 0 : 288 enodes (cost 764 ) 0.494 * * [simplify]: iteration 1 : 915 enodes (cost 748 ) 0.508 * * [simplify]: iteration 2 : 2934 enodes (cost 733 ) 0.549 * * [simplify]: iteration 3 : 5002 enodes (cost 733 ) 0.553 * * * [progress]: adding candidates to table 0.691 * * [progress]: iteration 2 / 4 0.691 * * * [progress]: picking best candidate 0.693 * * * * [pick]: Picked # 0.693 * * * [progress]: localizing error 0.699 * * * [progress]: generating rewritten candidates 0.699 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.741 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.757 * * * [progress]: generating series expansions 0.757 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.757 * [backup-simplify]: Simplify (* (/ -1 (- f n)) (+ f n)) into (* -1 (/ (+ n f) (- f n))) 0.757 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.757 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.758 * [taylor]: Taking taylor expansion of -1 in n 0.758 * [backup-simplify]: Simplify -1 into -1 0.758 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.758 * [taylor]: Taking taylor expansion of (+ n f) in n 0.758 * [taylor]: Taking taylor expansion of n in n 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of f in n 0.758 * [backup-simplify]: Simplify f into f 0.758 * [taylor]: Taking taylor expansion of (- f n) in n 0.758 * [taylor]: Taking taylor expansion of f in n 0.758 * [backup-simplify]: Simplify f into f 0.758 * [taylor]: Taking taylor expansion of n in n 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (+ 0 f) into f 0.758 * [backup-simplify]: Simplify (- 0) into 0 0.758 * [backup-simplify]: Simplify (+ f 0) into f 0.758 * [backup-simplify]: Simplify (/ f f) into 1 0.758 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.758 * [taylor]: Taking taylor expansion of -1 in f 0.758 * [backup-simplify]: Simplify -1 into -1 0.758 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.758 * [taylor]: Taking taylor expansion of (+ n f) in f 0.758 * [taylor]: Taking taylor expansion of n in f 0.758 * [backup-simplify]: Simplify n into n 0.758 * [taylor]: Taking taylor expansion of f in f 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of (- f n) in f 0.758 * [taylor]: Taking taylor expansion of f in f 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of n in f 0.759 * [backup-simplify]: Simplify n into n 0.759 * [backup-simplify]: Simplify (+ n 0) into n 0.759 * [backup-simplify]: Simplify (- n) into (- n) 0.759 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.759 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.759 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.759 * [taylor]: Taking taylor expansion of -1 in f 0.759 * [backup-simplify]: Simplify -1 into -1 0.759 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.759 * [taylor]: Taking taylor expansion of (+ n f) in f 0.759 * [taylor]: Taking taylor expansion of n in f 0.759 * [backup-simplify]: Simplify n into n 0.759 * [taylor]: Taking taylor expansion of f in f 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [taylor]: Taking taylor expansion of (- f n) in f 0.759 * [taylor]: Taking taylor expansion of f in f 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [taylor]: Taking taylor expansion of n in f 0.759 * [backup-simplify]: Simplify n into n 0.759 * [backup-simplify]: Simplify (+ n 0) into n 0.759 * [backup-simplify]: Simplify (- n) into (- n) 0.759 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.759 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.759 * [backup-simplify]: Simplify (* -1 -1) into 1 0.759 * [taylor]: Taking taylor expansion of 1 in n 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify (+ 0 1) into 1 0.760 * [backup-simplify]: Simplify (- 0) into 0 0.760 * [backup-simplify]: Simplify (+ 1 0) into 1 0.760 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.761 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.761 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.761 * [taylor]: Taking taylor expansion of 2 in n 0.761 * [backup-simplify]: Simplify 2 into 2 0.761 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.761 * [taylor]: Taking taylor expansion of n in n 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [backup-simplify]: Simplify (/ 1 1) into 1 0.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.762 * [backup-simplify]: Simplify (- 0) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.763 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.763 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.763 * [taylor]: Taking taylor expansion of 2 in n 0.763 * [backup-simplify]: Simplify 2 into 2 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.763 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.763 * [taylor]: Taking taylor expansion of n in n 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [backup-simplify]: Simplify (* 1 1) into 1 0.764 * [backup-simplify]: Simplify (/ 1 1) into 1 0.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.766 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [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 0.767 * [backup-simplify]: Simplify (+ 0 0) into 0 0.767 * [backup-simplify]: Simplify (- 0) into 0 0.767 * [backup-simplify]: Simplify (+ 0 0) into 0 0.768 * [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)))) 0.768 * [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))) 0.768 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.768 * [taylor]: Taking taylor expansion of 2 in n 0.768 * [backup-simplify]: Simplify 2 into 2 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.768 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.768 * [taylor]: Taking taylor expansion of n in n 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (* 1 1) into 1 0.769 * [backup-simplify]: Simplify (* 1 1) into 1 0.769 * [backup-simplify]: Simplify (/ 1 1) into 1 0.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.774 * [backup-simplify]: Simplify (* (/ -1 (- (/ 1 f) (/ 1 n))) (+ (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.774 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.774 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.774 * [taylor]: Taking taylor expansion of -1 in n 0.774 * [backup-simplify]: Simplify -1 into -1 0.774 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.774 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.774 * [taylor]: Taking taylor expansion of f in n 0.774 * [backup-simplify]: Simplify f into f 0.774 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.774 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.774 * [taylor]: Taking taylor expansion of n in n 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.774 * [backup-simplify]: Simplify (/ 1 1) into 1 0.774 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.774 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.774 * [taylor]: Taking taylor expansion of f in n 0.774 * [backup-simplify]: Simplify f into f 0.774 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.775 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.775 * [taylor]: Taking taylor expansion of n in n 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (/ 1 1) into 1 0.775 * [backup-simplify]: Simplify (+ 0 1) into 1 0.775 * [backup-simplify]: Simplify (- 1) into -1 0.776 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.776 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.776 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.776 * [taylor]: Taking taylor expansion of -1 in f 0.776 * [backup-simplify]: Simplify -1 into -1 0.776 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.776 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.776 * [taylor]: Taking taylor expansion of f in f 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 n) in f 0.776 * [taylor]: Taking taylor expansion of n in f 0.776 * [backup-simplify]: Simplify n into n 0.776 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.776 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.776 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.776 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.777 * [taylor]: Taking taylor expansion of n in f 0.777 * [backup-simplify]: Simplify n into n 0.777 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.777 * [backup-simplify]: Simplify (+ 1 0) into 1 0.777 * [backup-simplify]: Simplify (+ 1 0) into 1 0.777 * [backup-simplify]: Simplify (/ 1 1) into 1 0.777 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.777 * [taylor]: Taking taylor expansion of -1 in f 0.777 * [backup-simplify]: Simplify -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 0.777 * [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 * [backup-simplify]: Simplify (* -1 1) into -1 0.779 * [taylor]: Taking taylor expansion of -1 in n 0.779 * [backup-simplify]: Simplify -1 into -1 0.779 * [backup-simplify]: Simplify -1 into -1 0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.780 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.780 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.781 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.781 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.781 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.781 * [taylor]: Taking taylor expansion of 2 in n 0.781 * [backup-simplify]: Simplify 2 into 2 0.781 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.781 * [taylor]: Taking taylor expansion of n in n 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (/ 1 1) into 1 0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.782 * [backup-simplify]: Simplify (- 0) into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.783 * [backup-simplify]: Simplify (- 0) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.785 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.785 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.785 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.785 * [taylor]: Taking taylor expansion of 2 in n 0.785 * [backup-simplify]: Simplify 2 into 2 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.785 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.785 * [taylor]: Taking taylor expansion of n in n 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (* 1 1) into 1 0.785 * [backup-simplify]: Simplify (/ 1 1) into 1 0.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.788 * [backup-simplify]: Simplify (- 0) into 0 0.788 * [backup-simplify]: Simplify 0 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 0 into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.790 * [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 (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 0.792 * [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)))) 0.792 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.792 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.792 * [taylor]: Taking taylor expansion of 2 in n 0.792 * [backup-simplify]: Simplify 2 into 2 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.792 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.792 * [taylor]: Taking taylor expansion of n in n 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (* 1 1) into 1 0.793 * [backup-simplify]: Simplify (* 1 1) into 1 0.793 * [backup-simplify]: Simplify (/ 1 1) into 1 0.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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 1)))) into 0 0.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (- 0) into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify -1 into -1 0.798 * [backup-simplify]: Simplify (* (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.798 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.798 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.798 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.798 * [taylor]: Taking taylor expansion of f in n 0.798 * [backup-simplify]: Simplify f into f 0.798 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.798 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.798 * [taylor]: Taking taylor expansion of n in n 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify (/ 1 1) into 1 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 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify (/ 1 1) into 1 0.799 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.799 * [taylor]: Taking taylor expansion of f in n 0.799 * [backup-simplify]: Simplify f into f 0.799 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.799 * [backup-simplify]: Simplify (+ 0 1) into 1 0.799 * [backup-simplify]: Simplify (+ 1 0) into 1 0.800 * [backup-simplify]: Simplify (/ 1 1) into 1 0.800 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.800 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.800 * [taylor]: Taking taylor expansion of f in f 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 n) in f 0.800 * [taylor]: Taking taylor expansion of n in f 0.800 * [backup-simplify]: Simplify n into n 0.800 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.800 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.800 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.800 * [taylor]: Taking taylor expansion of n in f 0.800 * [backup-simplify]: Simplify n into n 0.800 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.800 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.800 * [taylor]: Taking taylor expansion of f in f 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 0.801 * [backup-simplify]: Simplify (+ 1 0) into 1 0.801 * [backup-simplify]: Simplify (- 1) 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 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 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 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [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 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 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 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.802 * [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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.803 * [backup-simplify]: Simplify (- 1) into -1 0.803 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.803 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.803 * [taylor]: Taking taylor expansion of -1 in n 0.803 * [backup-simplify]: Simplify -1 into -1 0.803 * [backup-simplify]: Simplify -1 into -1 0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (- 0) into 0 0.804 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.804 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.804 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.804 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.804 * [taylor]: Taking taylor expansion of 2 in n 0.804 * [backup-simplify]: Simplify 2 into 2 0.804 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.805 * [taylor]: Taking taylor expansion of n in n 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (/ 1 1) into 1 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.806 * [backup-simplify]: Simplify (- 0) into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.807 * [backup-simplify]: Simplify (+ 0 0) into 0 0.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (- 0) into 0 0.808 * [backup-simplify]: Simplify (+ 0 0) into 0 0.808 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.808 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.808 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.808 * [taylor]: Taking taylor expansion of 2 in n 0.808 * [backup-simplify]: Simplify 2 into 2 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.808 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.808 * [taylor]: Taking taylor expansion of n in n 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.809 * [backup-simplify]: Simplify (* 1 1) into 1 0.809 * [backup-simplify]: Simplify (/ 1 1) into 1 0.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.812 * [backup-simplify]: Simplify (- 0) into 0 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.813 * [backup-simplify]: Simplify (- 0) into 0 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.814 * [backup-simplify]: Simplify (+ 0 0) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (- 0) into 0 0.815 * [backup-simplify]: Simplify (+ 0 0) into 0 0.816 * [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)))) 0.816 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.816 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.816 * [taylor]: Taking taylor expansion of 2 in n 0.816 * [backup-simplify]: Simplify 2 into 2 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.816 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.816 * [taylor]: Taking taylor expansion of n in n 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 1 into 1 0.816 * [backup-simplify]: Simplify (* 1 1) into 1 0.817 * [backup-simplify]: Simplify (* 1 1) into 1 0.817 * [backup-simplify]: Simplify (/ 1 1) into 1 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (- 0) into 0 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify -1 into -1 0.822 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.822 * [backup-simplify]: Simplify (/ -1 (- f n)) into (/ -1 (- f n)) 0.822 * [approximate]: Taking taylor expansion of (/ -1 (- f n)) in (f n) around 0 0.822 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in n 0.822 * [taylor]: Taking taylor expansion of -1 in n 0.822 * [backup-simplify]: Simplify -1 into -1 0.822 * [taylor]: Taking taylor expansion of (- f n) in n 0.822 * [taylor]: Taking taylor expansion of f in n 0.822 * [backup-simplify]: Simplify f into f 0.822 * [taylor]: Taking taylor expansion of n in n 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 1 into 1 0.822 * [backup-simplify]: Simplify (- 0) into 0 0.822 * [backup-simplify]: Simplify (+ f 0) into f 0.822 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 0.822 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 0.822 * [taylor]: Taking taylor expansion of -1 in f 0.822 * [backup-simplify]: Simplify -1 into -1 0.822 * [taylor]: Taking taylor expansion of (- f n) in f 0.822 * [taylor]: Taking taylor expansion of f in f 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 1 into 1 0.822 * [taylor]: Taking taylor expansion of n in f 0.822 * [backup-simplify]: Simplify n into n 0.822 * [backup-simplify]: Simplify (- n) into (- n) 0.822 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.822 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 0.823 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 0.823 * [taylor]: Taking taylor expansion of -1 in f 0.823 * [backup-simplify]: Simplify -1 into -1 0.823 * [taylor]: Taking taylor expansion of (- f n) in f 0.823 * [taylor]: Taking taylor expansion of f in f 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 1 into 1 0.823 * [taylor]: Taking taylor expansion of n in f 0.823 * [backup-simplify]: Simplify n into n 0.823 * [backup-simplify]: Simplify (- n) into (- n) 0.823 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.823 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 0.823 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.823 * [taylor]: Taking taylor expansion of n in n 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 1 into 1 0.823 * [backup-simplify]: Simplify (/ 1 1) into 1 0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify (- 0) into 0 0.824 * [backup-simplify]: Simplify (+ 1 0) into 1 0.824 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 1 (- n))))) into (/ 1 (pow n 2)) 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.824 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.824 * [taylor]: Taking taylor expansion of n in n 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (* 1 1) into 1 0.825 * [backup-simplify]: Simplify (/ 1 1) into 1 0.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify (- 0) into 0 0.827 * [backup-simplify]: Simplify (+ 0 0) into 0 0.828 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 0 (- n))) (* (/ 1 (pow n 2)) (/ 1 (- n))))) into (/ 1 (pow n 3)) 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.828 * [taylor]: Taking taylor expansion of (pow n 3) 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 0.828 * [backup-simplify]: Simplify (* 1 1) into 1 0.828 * [backup-simplify]: Simplify (* 1 1) into 1 0.828 * [backup-simplify]: Simplify (/ 1 1) into 1 0.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.833 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify (/ -1 (- (/ 1 f) (/ 1 n))) into (/ -1 (- (/ 1 f) (/ 1 n))) 0.834 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in (f n) around 0 0.834 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in n 0.834 * [taylor]: Taking taylor expansion of -1 in n 0.834 * [backup-simplify]: Simplify -1 into -1 0.834 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.834 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.834 * [taylor]: Taking taylor expansion of f in n 0.834 * [backup-simplify]: Simplify f into f 0.834 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.834 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.834 * [taylor]: Taking taylor expansion of n in n 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 1 into 1 0.837 * [backup-simplify]: Simplify (/ 1 1) into 1 0.837 * [backup-simplify]: Simplify (- 1) into -1 0.838 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.838 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.838 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 0.838 * [taylor]: Taking taylor expansion of -1 in f 0.838 * [backup-simplify]: Simplify -1 into -1 0.838 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.838 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.838 * [taylor]: Taking taylor expansion of f in f 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 1 into 1 0.838 * [backup-simplify]: Simplify (/ 1 1) into 1 0.838 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.838 * [taylor]: Taking taylor expansion of n in f 0.838 * [backup-simplify]: Simplify n into n 0.838 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.839 * [backup-simplify]: Simplify (+ 1 0) into 1 0.839 * [backup-simplify]: Simplify (/ -1 1) into -1 0.839 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 0.839 * [taylor]: Taking taylor expansion of -1 in f 0.839 * [backup-simplify]: Simplify -1 into -1 0.839 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.839 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.839 * [taylor]: Taking taylor expansion of f in f 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 1 into 1 0.839 * [backup-simplify]: Simplify (/ 1 1) into 1 0.839 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.839 * [taylor]: Taking taylor expansion of n in f 0.839 * [backup-simplify]: Simplify n into n 0.839 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.840 * [backup-simplify]: Simplify (+ 1 0) into 1 0.840 * [backup-simplify]: Simplify (/ -1 1) into -1 0.840 * [taylor]: Taking taylor expansion of -1 in n 0.840 * [backup-simplify]: Simplify -1 into -1 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.841 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.841 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (/ 1 n)) 0.841 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 0.841 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.841 * [taylor]: Taking taylor expansion of n in n 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 1 into 1 0.841 * [backup-simplify]: Simplify (/ 1 1) into 1 0.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.842 * [backup-simplify]: Simplify (- 0) into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.843 * [backup-simplify]: Simplify (- 0) into 0 0.843 * [backup-simplify]: Simplify (+ 0 0) into 0 0.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (- (/ 1 (pow n 2))) 0.844 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 0.844 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.844 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.844 * [taylor]: Taking taylor expansion of n in n 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 1 into 1 0.844 * [backup-simplify]: Simplify (* 1 1) into 1 0.845 * [backup-simplify]: Simplify (/ 1 1) into 1 0.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (- 0) into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (- 0) into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) into (/ -1 (- (/ 1 n) (/ 1 f))) 0.849 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.849 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in n 0.849 * [taylor]: Taking taylor expansion of -1 in n 0.849 * [backup-simplify]: Simplify -1 into -1 0.849 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.849 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.849 * [taylor]: Taking taylor expansion of n in n 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (/ 1 1) into 1 0.849 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.849 * [taylor]: Taking taylor expansion of f in n 0.849 * [backup-simplify]: Simplify f into f 0.849 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.849 * [backup-simplify]: Simplify (+ 1 0) into 1 0.849 * [backup-simplify]: Simplify (/ -1 1) into -1 0.850 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 0.850 * [taylor]: Taking taylor expansion of -1 in f 0.850 * [backup-simplify]: Simplify -1 into -1 0.850 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 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) 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 * [backup-simplify]: Simplify (- 1) into -1 0.850 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.851 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.851 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 0.851 * [taylor]: Taking taylor expansion of -1 in f 0.851 * [backup-simplify]: Simplify -1 into -1 0.851 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.851 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.851 * [taylor]: Taking taylor expansion of n in f 0.851 * [backup-simplify]: Simplify n into n 0.851 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.851 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.851 * [taylor]: Taking taylor expansion of f in f 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (/ 1 1) into 1 0.851 * [backup-simplify]: Simplify (- 1) into -1 0.852 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.852 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.852 * [taylor]: Taking taylor expansion of 1 in n 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.853 * [backup-simplify]: Simplify (- 0) into 0 0.853 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.853 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 n) -1)))) into (/ 1 n) 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 (- (+ (* 1 (/ 0 1)) (* 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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (- 0) into 0 0.855 * [backup-simplify]: Simplify (+ 0 0) into 0 0.856 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (/ 1 n) (/ (/ 1 n) -1)))) into (/ 1 (pow n 2)) 0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.856 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.856 * [taylor]: Taking taylor expansion of n in n 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 1 into 1 0.856 * [backup-simplify]: Simplify (* 1 1) into 1 0.856 * [backup-simplify]: Simplify (/ 1 1) into 1 0.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * * * [progress]: simplifying candidates 0.861 * [simplify]: Simplifying: (* (/ -1 (- f n)) (+ f n)) (+ (- (log -1) (log (- f n))) (log (+ f n))) (+ (log (/ -1 (- f n))) (log (+ f n))) (log (* (/ -1 (- f n)) (+ f n))) (exp (* (/ -1 (- f n)) (+ f n))) (* (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (* (* (+ f n) (+ f n)) (+ f n))) (* (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (* (/ -1 (- f n)) (+ f n))) (cbrt (* (/ -1 (- f n)) (+ f n)))) (cbrt (* (/ -1 (- f n)) (+ f n))) (* (* (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- f n)) (+ f n))) (* (/ -1 (- f n)) (+ f n))) (sqrt (* (/ -1 (- f n)) (+ f n))) (sqrt (* (/ -1 (- f n)) (+ f n))) (* -1 (+ (pow f 3) (pow n 3))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* -1 (- (* f f) (* n n))) (* (- f n) (- f n)) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (* (/ -1 (- f n)) f) (* (/ -1 (- f n)) n) (* f (/ -1 (- f n))) (* n (/ -1 (- f n))) (* (/ -1 (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (/ -1 (- f n)) (sqrt (+ f n))) (* (/ -1 (- f n)) 1) (* (/ -1 (- f n)) 1) (* (cbrt (/ -1 (- f n))) (+ f n)) (* (sqrt (/ -1 (- f n))) (+ f n)) (* (/ (cbrt -1) (cbrt (- f n))) (+ f n)) (* (/ (cbrt -1) (sqrt (- f n))) (+ f n)) (* (/ (cbrt -1) (- f n)) (+ f n)) (* (/ (cbrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (cbrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (cbrt (- f n))) (+ f n)) (* (/ (sqrt -1) (sqrt (- f n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (* (/ -1 (cbrt (- f n))) (+ f n)) (* (/ -1 (sqrt (- f n))) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- (sqrt f) (sqrt n))) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ 1 (- f n)) (+ f n)) (* (+ (* f f) (+ (* n n) (* f n))) (+ f n)) (* (+ f n) (+ f n)) (* (/ -1 (- f n)) (+ (pow f 3) (pow n 3))) (* (/ -1 (- f n)) (- (* f f) (* n n))) (* -1 (+ f n)) (- (log -1) (log (- f n))) (log (/ -1 (- f n))) (exp (/ -1 (- f n))) (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (cbrt (/ -1 (- f n))) (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (sqrt (/ -1 (- f n))) (sqrt (/ -1 (- f n))) (- -1) (- (- f n)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt -1) (cbrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) 1) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (- (sqrt f) (sqrt n))) (/ (sqrt -1) 1) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ 1 1) (/ -1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (- (sqrt f) (sqrt n))) (/ 1 1) (/ -1 (- f n)) (/ 1 (- f n)) (/ (- f n) -1) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) (/ -1 1) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 1) (/ (- f n) (cbrt -1)) (/ (- f n) (sqrt -1)) (/ (- f n) -1) (/ -1 (- (pow f 3) (pow n 3))) (/ -1 (- (* f f) (* n n))) 1 -1 -1 0 0 0 0.861 * [simplify]: Sending expressions to egg_math: (* (/ -1 (- h0 h1)) (+ h0 h1)) (+ (- (log -1) (log (- h0 h1))) (log (+ h0 h1))) (+ (log (/ -1 (- h0 h1))) (log (+ h0 h1))) (log (* (/ -1 (- h0 h1)) (+ h0 h1))) (exp (* (/ -1 (- h0 h1)) (+ h0 h1))) (* (/ (* (* -1 -1) -1) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (* (* (/ -1 (- h0 h1)) (/ -1 (- h0 h1))) (/ -1 (- h0 h1))) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (* (/ -1 (- h0 h1)) (+ h0 h1))) (cbrt (* (/ -1 (- h0 h1)) (+ h0 h1)))) (cbrt (* (/ -1 (- h0 h1)) (+ h0 h1))) (* (* (* (/ -1 (- h0 h1)) (+ h0 h1)) (* (/ -1 (- h0 h1)) (+ h0 h1))) (* (/ -1 (- h0 h1)) (+ h0 h1))) (sqrt (* (/ -1 (- h0 h1)) (+ h0 h1))) (sqrt (* (/ -1 (- h0 h1)) (+ h0 h1))) (* -1 (+ (pow h0 3) (pow h1 3))) (* (- h0 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* -1 (- (* h0 h0) (* h1 h1))) (* (- h0 h1) (- h0 h1)) (* (sqrt (/ -1 (- h0 h1))) (sqrt (+ h0 h1))) (* (sqrt (/ -1 (- h0 h1))) (sqrt (+ h0 h1))) (* (/ (sqrt -1) (sqrt (- h0 h1))) (sqrt (+ h0 h1))) (* (/ (sqrt -1) (sqrt (- h0 h1))) (sqrt (+ h0 h1))) (* (/ -1 (- h0 h1)) h0) (* (/ -1 (- h0 h1)) h1) (* h0 (/ -1 (- h0 h1))) (* h1 (/ -1 (- h0 h1))) (* (/ -1 (- h0 h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (/ -1 (- h0 h1)) (sqrt (+ h0 h1))) (* (/ -1 (- h0 h1)) 1) (* (/ -1 (- h0 h1)) 1) (* (cbrt (/ -1 (- h0 h1))) (+ h0 h1)) (* (sqrt (/ -1 (- h0 h1))) (+ h0 h1)) (* (/ (cbrt -1) (cbrt (- h0 h1))) (+ h0 h1)) (* (/ (cbrt -1) (sqrt (- h0 h1))) (+ h0 h1)) (* (/ (cbrt -1) (- h0 h1)) (+ h0 h1)) (* (/ (cbrt -1) (- (sqrt h0) (sqrt h1))) (+ h0 h1)) (* (/ (cbrt -1) (- h0 h1)) (+ h0 h1)) (* (/ (sqrt -1) (cbrt (- h0 h1))) (+ h0 h1)) (* (/ (sqrt -1) (sqrt (- h0 h1))) (+ h0 h1)) (* (/ (sqrt -1) (- h0 h1)) (+ h0 h1)) (* (/ (sqrt -1) (- (sqrt h0) (sqrt h1))) (+ h0 h1)) (* (/ (sqrt -1) (- h0 h1)) (+ h0 h1)) (* (/ -1 (cbrt (- h0 h1))) (+ h0 h1)) (* (/ -1 (sqrt (- h0 h1))) (+ h0 h1)) (* (/ -1 (- h0 h1)) (+ h0 h1)) (* (/ -1 (- (sqrt h0) (sqrt h1))) (+ h0 h1)) (* (/ -1 (- h0 h1)) (+ h0 h1)) (* (/ -1 (- h0 h1)) (+ h0 h1)) (* (/ 1 (- h0 h1)) (+ h0 h1)) (* (+ (* h0 h0) (+ (* h1 h1) (* h0 h1))) (+ h0 h1)) (* (+ h0 h1) (+ h0 h1)) (* (/ -1 (- h0 h1)) (+ (pow h0 3) (pow h1 3))) (* (/ -1 (- h0 h1)) (- (* h0 h0) (* h1 h1))) (* -1 (+ h0 h1)) (- (log -1) (log (- h0 h1))) (log (/ -1 (- h0 h1))) (exp (/ -1 (- h0 h1))) (/ (* (* -1 -1) -1) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (cbrt (/ -1 (- h0 h1))) (cbrt (/ -1 (- h0 h1)))) (cbrt (/ -1 (- h0 h1))) (* (* (/ -1 (- h0 h1)) (/ -1 (- h0 h1))) (/ -1 (- h0 h1))) (sqrt (/ -1 (- h0 h1))) (sqrt (/ -1 (- h0 h1))) (- -1) (- (- h0 h1)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (cbrt -1) (cbrt (- h0 h1))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- h0 h1))) (/ (cbrt -1) (sqrt (- h0 h1))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- h0 h1)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt h0) (sqrt h1))) (/ (cbrt -1) (- (sqrt h0) (sqrt h1))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- h0 h1)) (/ (sqrt -1) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (sqrt -1) (cbrt (- h0 h1))) (/ (sqrt -1) (sqrt (- h0 h1))) (/ (sqrt -1) (sqrt (- h0 h1))) (/ (sqrt -1) 1) (/ (sqrt -1) (- h0 h1)) (/ (sqrt -1) (+ (sqrt h0) (sqrt h1))) (/ (sqrt -1) (- (sqrt h0) (sqrt h1))) (/ (sqrt -1) 1) (/ (sqrt -1) (- h0 h1)) (/ 1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ -1 (cbrt (- h0 h1))) (/ 1 (sqrt (- h0 h1))) (/ -1 (sqrt (- h0 h1))) (/ 1 1) (/ -1 (- h0 h1)) (/ 1 (+ (sqrt h0) (sqrt h1))) (/ -1 (- (sqrt h0) (sqrt h1))) (/ 1 1) (/ -1 (- h0 h1)) (/ 1 (- h0 h1)) (/ (- h0 h1) -1) (/ -1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ -1 (sqrt (- h0 h1))) (/ -1 1) (/ -1 (+ (sqrt h0) (sqrt h1))) (/ -1 1) (/ (- h0 h1) (cbrt -1)) (/ (- h0 h1) (sqrt -1)) (/ (- h0 h1) -1) (/ -1 (- (pow h0 3) (pow h1 3))) (/ -1 (- (* h0 h0) (* h1 h1))) 1 -1 -1 0 0 0 0.866 * * [simplify]: iteration 0 : 417 enodes (cost 470 ) 0.875 * * [simplify]: iteration 1 : 1635 enodes (cost 436 ) 0.909 * * [simplify]: iteration 2 : 5001 enodes (cost 406 ) 0.911 * * * [progress]: adding candidates to table 1.040 * * [progress]: iteration 3 / 4 1.040 * * * [progress]: picking best candidate 1.041 * * * * [pick]: Picked # 1.041 * * * [progress]: localizing error 1.051 * * * [progress]: generating rewritten candidates 1.051 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 1.083 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 1.116 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.359 * * * [progress]: generating series expansions 1.359 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 1.359 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 1.359 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.359 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.359 * [taylor]: Taking taylor expansion of -1 in n 1.359 * [backup-simplify]: Simplify -1 into -1 1.359 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.359 * [taylor]: Taking taylor expansion of (+ n f) 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 1.359 * [taylor]: Taking taylor expansion of f in n 1.359 * [backup-simplify]: Simplify f into f 1.359 * [taylor]: Taking taylor expansion of (- f n) in n 1.359 * [taylor]: Taking taylor expansion of f in n 1.359 * [backup-simplify]: Simplify f into f 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 1.359 * [backup-simplify]: Simplify (+ 0 f) into f 1.360 * [backup-simplify]: Simplify (- 0) into 0 1.360 * [backup-simplify]: Simplify (+ f 0) into f 1.360 * [backup-simplify]: Simplify (/ f f) into 1 1.360 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.360 * [taylor]: Taking taylor expansion of -1 in f 1.360 * [backup-simplify]: Simplify -1 into -1 1.360 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.360 * [taylor]: Taking taylor expansion of (+ n f) in f 1.360 * [taylor]: Taking taylor expansion of n in f 1.360 * [backup-simplify]: Simplify n into n 1.360 * [taylor]: Taking taylor expansion of f in f 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [taylor]: Taking taylor expansion of (- f n) in f 1.360 * [taylor]: Taking taylor expansion of f in f 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [taylor]: Taking taylor expansion of n in f 1.360 * [backup-simplify]: Simplify n into n 1.360 * [backup-simplify]: Simplify (+ n 0) into n 1.360 * [backup-simplify]: Simplify (- n) into (- n) 1.360 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.360 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.360 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.360 * [taylor]: Taking taylor expansion of -1 in f 1.360 * [backup-simplify]: Simplify -1 into -1 1.360 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.360 * [taylor]: Taking taylor expansion of (+ n f) in f 1.360 * [taylor]: Taking taylor expansion of n in f 1.360 * [backup-simplify]: Simplify n into n 1.360 * [taylor]: Taking taylor expansion of f in f 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [taylor]: Taking taylor expansion of (- f n) in f 1.360 * [taylor]: Taking taylor expansion of f in f 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [taylor]: Taking taylor expansion of n in f 1.360 * [backup-simplify]: Simplify n into n 1.360 * [backup-simplify]: Simplify (+ n 0) into n 1.360 * [backup-simplify]: Simplify (- n) into (- n) 1.360 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.361 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.361 * [backup-simplify]: Simplify (* -1 -1) into 1 1.361 * [taylor]: Taking taylor expansion of 1 in n 1.361 * [backup-simplify]: Simplify 1 into 1 1.361 * [backup-simplify]: Simplify 1 into 1 1.361 * [backup-simplify]: Simplify (+ 0 1) into 1 1.361 * [backup-simplify]: Simplify (- 0) into 0 1.362 * [backup-simplify]: Simplify (+ 1 0) into 1 1.362 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.362 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.362 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.362 * [taylor]: Taking taylor expansion of 2 in n 1.362 * [backup-simplify]: Simplify 2 into 2 1.362 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.362 * [taylor]: Taking taylor expansion of n in n 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 1 into 1 1.362 * [backup-simplify]: Simplify (/ 1 1) into 1 1.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.363 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify (+ 0 0) into 0 1.364 * [backup-simplify]: Simplify (- 0) into 0 1.364 * [backup-simplify]: Simplify (+ 0 0) into 0 1.364 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.365 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.365 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.365 * [taylor]: Taking taylor expansion of 2 in n 1.365 * [backup-simplify]: Simplify 2 into 2 1.365 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.365 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.365 * [taylor]: Taking taylor expansion of n in n 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (* 1 1) into 1 1.365 * [backup-simplify]: Simplify (/ 1 1) into 1 1.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.367 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.367 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.368 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify (+ 0 0) into 0 1.369 * [backup-simplify]: Simplify (- 0) into 0 1.369 * [backup-simplify]: Simplify (+ 0 0) into 0 1.369 * [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)))) 1.370 * [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))) 1.370 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.370 * [taylor]: Taking taylor expansion of 2 in n 1.370 * [backup-simplify]: Simplify 2 into 2 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.370 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.370 * [taylor]: Taking taylor expansion of n in n 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 1 into 1 1.370 * [backup-simplify]: Simplify (* 1 1) into 1 1.370 * [backup-simplify]: Simplify (* 1 1) into 1 1.371 * [backup-simplify]: Simplify (/ 1 1) into 1 1.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.376 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.376 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.376 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.376 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.376 * [taylor]: Taking taylor expansion of -1 in n 1.376 * [backup-simplify]: Simplify -1 into -1 1.376 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.376 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.376 * [taylor]: Taking taylor expansion of f in n 1.376 * [backup-simplify]: Simplify f into f 1.376 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.376 * [taylor]: Taking taylor expansion of (/ 1 n) 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 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.376 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.376 * [taylor]: Taking taylor expansion of f in n 1.376 * [backup-simplify]: Simplify f into f 1.376 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.376 * [taylor]: Taking taylor expansion of (/ 1 n) 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 1.377 * [backup-simplify]: Simplify (/ 1 1) into 1 1.377 * [backup-simplify]: Simplify (+ 0 1) into 1 1.377 * [backup-simplify]: Simplify (- 1) into -1 1.377 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.378 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.378 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.378 * [taylor]: Taking taylor expansion of -1 in f 1.378 * [backup-simplify]: Simplify -1 into -1 1.378 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.378 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.378 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.378 * [taylor]: Taking taylor expansion of f in f 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 1 into 1 1.378 * [backup-simplify]: Simplify (/ 1 1) into 1 1.378 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.378 * [taylor]: Taking taylor expansion of n in f 1.378 * [backup-simplify]: Simplify n into n 1.378 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.378 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.378 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.378 * [taylor]: Taking taylor expansion of f in f 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 1 into 1 1.378 * [backup-simplify]: Simplify (/ 1 1) into 1 1.378 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.378 * [taylor]: Taking taylor expansion of n in f 1.378 * [backup-simplify]: Simplify n into n 1.379 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.379 * [backup-simplify]: Simplify (+ 1 0) into 1 1.379 * [backup-simplify]: Simplify (+ 1 0) into 1 1.379 * [backup-simplify]: Simplify (/ 1 1) into 1 1.379 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.379 * [taylor]: Taking taylor expansion of -1 in f 1.379 * [backup-simplify]: Simplify -1 into -1 1.379 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.379 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.379 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.379 * [taylor]: Taking taylor expansion of f in f 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 1 into 1 1.380 * [backup-simplify]: Simplify (/ 1 1) into 1 1.380 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.380 * [taylor]: Taking taylor expansion of n in f 1.380 * [backup-simplify]: Simplify n into n 1.380 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.380 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.380 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.380 * [taylor]: Taking taylor expansion of f in f 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 1 into 1 1.380 * [backup-simplify]: Simplify (/ 1 1) into 1 1.380 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.380 * [taylor]: Taking taylor expansion of n in f 1.380 * [backup-simplify]: Simplify n into n 1.380 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.380 * [backup-simplify]: Simplify (+ 1 0) into 1 1.381 * [backup-simplify]: Simplify (+ 1 0) into 1 1.381 * [backup-simplify]: Simplify (/ 1 1) into 1 1.381 * [backup-simplify]: Simplify (* -1 1) into -1 1.381 * [taylor]: Taking taylor expansion of -1 in n 1.381 * [backup-simplify]: Simplify -1 into -1 1.381 * [backup-simplify]: Simplify -1 into -1 1.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.382 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.382 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.382 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.382 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.382 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.383 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.383 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.383 * [taylor]: Taking taylor expansion of 2 in n 1.383 * [backup-simplify]: Simplify 2 into 2 1.383 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.383 * [taylor]: Taking taylor expansion of n in n 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 1 into 1 1.383 * [backup-simplify]: Simplify (/ 1 1) into 1 1.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.384 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.384 * [backup-simplify]: Simplify (- 0) into 0 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.385 * [backup-simplify]: Simplify (+ 0 0) into 0 1.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.385 * [backup-simplify]: Simplify (- 0) into 0 1.386 * [backup-simplify]: Simplify (+ 0 0) into 0 1.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.387 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.387 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.387 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.387 * [taylor]: Taking taylor expansion of 2 in n 1.387 * [backup-simplify]: Simplify 2 into 2 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.387 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.387 * [taylor]: Taking taylor expansion of n in n 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 1 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 0) (+ (* 0 0) (* 0 1))) into 0 1.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.390 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.390 * [backup-simplify]: Simplify (- 0) into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.391 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 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)) (* 0 (/ 0 1)))) into 0 1.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.392 * [backup-simplify]: Simplify (+ 0 0) into 0 1.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 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)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 1.395 * [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)))) 1.395 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.395 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.395 * [taylor]: Taking taylor expansion of 2 in n 1.395 * [backup-simplify]: Simplify 2 into 2 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.395 * [taylor]: Taking taylor expansion of (pow n 3) 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 1.395 * [backup-simplify]: Simplify (* 1 1) into 1 1.395 * [backup-simplify]: Simplify (* 1 1) into 1 1.395 * [backup-simplify]: Simplify (/ 1 1) into 1 1.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.400 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 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 -1 into -1 1.400 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.400 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.400 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.400 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.400 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.401 * [taylor]: Taking taylor expansion of f in n 1.401 * [backup-simplify]: Simplify f into f 1.401 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.401 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.401 * [taylor]: Taking taylor expansion of n in n 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (/ 1 1) into 1 1.401 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.401 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.401 * [taylor]: Taking taylor expansion of n in n 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (/ 1 1) into 1 1.401 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.401 * [taylor]: Taking taylor expansion of f in n 1.401 * [backup-simplify]: Simplify f into f 1.401 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.401 * [backup-simplify]: Simplify (+ 0 1) into 1 1.402 * [backup-simplify]: Simplify (+ 1 0) into 1 1.402 * [backup-simplify]: Simplify (/ 1 1) into 1 1.402 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.402 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.402 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.402 * [taylor]: Taking taylor expansion of f in f 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [backup-simplify]: Simplify (/ 1 1) into 1 1.402 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.402 * [taylor]: Taking taylor expansion of n in f 1.402 * [backup-simplify]: Simplify n into n 1.402 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.402 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.402 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.402 * [taylor]: Taking taylor expansion of n in f 1.402 * [backup-simplify]: Simplify n into n 1.402 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.402 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.402 * [taylor]: Taking taylor expansion of f in f 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (/ 1 1) into 1 1.403 * [backup-simplify]: Simplify (+ 1 0) into 1 1.403 * [backup-simplify]: Simplify (- 1) into -1 1.404 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.404 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.404 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.404 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.404 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.404 * [taylor]: Taking taylor expansion of f in f 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.404 * [backup-simplify]: Simplify (/ 1 1) into 1 1.404 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.404 * [taylor]: Taking taylor expansion of n in f 1.404 * [backup-simplify]: Simplify n into n 1.404 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.404 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.404 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.404 * [taylor]: Taking taylor expansion of n in f 1.404 * [backup-simplify]: Simplify n into n 1.404 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.404 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.404 * [taylor]: Taking taylor expansion of f in f 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 0) into 1 1.405 * [backup-simplify]: Simplify (- 1) into -1 1.405 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.406 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.406 * [taylor]: Taking taylor expansion of -1 in n 1.406 * [backup-simplify]: Simplify -1 into -1 1.406 * [backup-simplify]: Simplify -1 into -1 1.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.406 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.407 * [backup-simplify]: Simplify (- 0) into 0 1.407 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.407 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.407 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.407 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.407 * [taylor]: Taking taylor expansion of 2 in n 1.407 * [backup-simplify]: Simplify 2 into 2 1.407 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.407 * [taylor]: Taking taylor expansion of n in n 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (/ 1 1) into 1 1.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.408 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.408 * [backup-simplify]: Simplify (- 0) into 0 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.409 * [backup-simplify]: Simplify (+ 0 0) into 0 1.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.410 * [backup-simplify]: Simplify (- 0) into 0 1.410 * [backup-simplify]: Simplify (+ 0 0) into 0 1.411 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.411 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.411 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.411 * [taylor]: Taking taylor expansion of 2 in n 1.411 * [backup-simplify]: Simplify 2 into 2 1.411 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.411 * [taylor]: Taking taylor expansion of (pow n 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 1.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.413 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.414 * [backup-simplify]: Simplify (- 0) into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.415 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.415 * [backup-simplify]: Simplify (- 0) into 0 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.416 * [backup-simplify]: Simplify (+ 0 0) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.417 * [backup-simplify]: Simplify (- 0) into 0 1.417 * [backup-simplify]: Simplify (+ 0 0) into 0 1.418 * [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)))) 1.418 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.418 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.418 * [taylor]: Taking taylor expansion of 2 in n 1.418 * [backup-simplify]: Simplify 2 into 2 1.418 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.418 * [taylor]: Taking taylor expansion of (pow n 3) 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 1.418 * [backup-simplify]: Simplify (* 1 1) into 1 1.418 * [backup-simplify]: Simplify (* 1 1) into 1 1.419 * [backup-simplify]: Simplify (/ 1 1) into 1 1.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.428 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.428 * [backup-simplify]: Simplify (- 0) into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify -1 into -1 1.428 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 1.428 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 1.428 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.428 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.428 * [taylor]: Taking taylor expansion of -1 in n 1.428 * [backup-simplify]: Simplify -1 into -1 1.428 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.428 * [taylor]: Taking taylor expansion of (+ n f) in n 1.428 * [taylor]: Taking taylor expansion of n in n 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.428 * [taylor]: Taking taylor expansion of f in n 1.428 * [backup-simplify]: Simplify f into f 1.428 * [taylor]: Taking taylor expansion of (- f n) in n 1.428 * [taylor]: Taking taylor expansion of f in n 1.428 * [backup-simplify]: Simplify f into f 1.428 * [taylor]: Taking taylor expansion of n in n 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.428 * [backup-simplify]: Simplify (+ 0 f) into f 1.429 * [backup-simplify]: Simplify (- 0) into 0 1.429 * [backup-simplify]: Simplify (+ f 0) into f 1.429 * [backup-simplify]: Simplify (/ f f) into 1 1.429 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.429 * [taylor]: Taking taylor expansion of -1 in f 1.429 * [backup-simplify]: Simplify -1 into -1 1.429 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.429 * [taylor]: Taking taylor expansion of (+ n f) in f 1.429 * [taylor]: Taking taylor expansion of n in f 1.429 * [backup-simplify]: Simplify n into n 1.429 * [taylor]: Taking taylor expansion of f in f 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [taylor]: Taking taylor expansion of (- f n) in f 1.429 * [taylor]: Taking taylor expansion of f in f 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [taylor]: Taking taylor expansion of n in f 1.429 * [backup-simplify]: Simplify n into n 1.429 * [backup-simplify]: Simplify (+ n 0) into n 1.429 * [backup-simplify]: Simplify (- n) into (- n) 1.429 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.429 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.429 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.429 * [taylor]: Taking taylor expansion of -1 in f 1.429 * [backup-simplify]: Simplify -1 into -1 1.429 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.429 * [taylor]: Taking taylor expansion of (+ n f) in f 1.429 * [taylor]: Taking taylor expansion of n in f 1.429 * [backup-simplify]: Simplify n into n 1.429 * [taylor]: Taking taylor expansion of f in f 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [taylor]: Taking taylor expansion of (- f n) in f 1.429 * [taylor]: Taking taylor expansion of f in f 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [taylor]: Taking taylor expansion of n in f 1.429 * [backup-simplify]: Simplify n into n 1.429 * [backup-simplify]: Simplify (+ n 0) into n 1.429 * [backup-simplify]: Simplify (- n) into (- n) 1.429 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.429 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.430 * [backup-simplify]: Simplify (* -1 -1) into 1 1.430 * [taylor]: Taking taylor expansion of 1 in n 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (+ 0 1) into 1 1.430 * [backup-simplify]: Simplify (- 0) into 0 1.430 * [backup-simplify]: Simplify (+ 1 0) into 1 1.431 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.431 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.431 * [taylor]: Taking taylor expansion of 2 in n 1.431 * [backup-simplify]: Simplify 2 into 2 1.431 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.431 * [taylor]: Taking taylor expansion of n in n 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 1 into 1 1.431 * [backup-simplify]: Simplify (/ 1 1) into 1 1.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.432 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify (+ 0 0) into 0 1.432 * [backup-simplify]: Simplify (- 0) into 0 1.433 * [backup-simplify]: Simplify (+ 0 0) into 0 1.433 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.433 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.433 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.433 * [taylor]: Taking taylor expansion of 2 in n 1.433 * [backup-simplify]: Simplify 2 into 2 1.433 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.433 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.433 * [taylor]: Taking taylor expansion of n in n 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 1 into 1 1.434 * [backup-simplify]: Simplify (* 1 1) into 1 1.434 * [backup-simplify]: Simplify (/ 1 1) into 1 1.434 * [backup-simplify]: Simplify (+ (* 1 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 1)) (* 0 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.437 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify (+ 0 0) into 0 1.437 * [backup-simplify]: Simplify (- 0) into 0 1.438 * [backup-simplify]: Simplify (+ 0 0) into 0 1.438 * [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)))) 1.439 * [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))) 1.439 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.439 * [taylor]: Taking taylor expansion of 2 in n 1.439 * [backup-simplify]: Simplify 2 into 2 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.439 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.439 * [taylor]: Taking taylor expansion of n in n 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 1 into 1 1.439 * [backup-simplify]: Simplify (* 1 1) into 1 1.439 * [backup-simplify]: Simplify (* 1 1) into 1 1.439 * [backup-simplify]: Simplify (/ 1 1) into 1 1.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.444 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 1 into 1 1.444 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.444 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.444 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.444 * [taylor]: Taking taylor expansion of -1 in n 1.444 * [backup-simplify]: Simplify -1 into -1 1.444 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.444 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.444 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.444 * [taylor]: Taking taylor expansion of f in n 1.444 * [backup-simplify]: Simplify f into f 1.444 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.444 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.444 * [taylor]: Taking taylor expansion of n in n 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 1 into 1 1.445 * [backup-simplify]: Simplify (/ 1 1) into 1 1.445 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.445 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.445 * [taylor]: Taking taylor expansion of f in n 1.445 * [backup-simplify]: Simplify f into f 1.445 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.445 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.445 * [taylor]: Taking taylor expansion of n in n 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [backup-simplify]: Simplify (/ 1 1) into 1 1.445 * [backup-simplify]: Simplify (+ 0 1) into 1 1.446 * [backup-simplify]: Simplify (- 1) into -1 1.446 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.446 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.446 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.446 * [taylor]: Taking taylor expansion of -1 in f 1.446 * [backup-simplify]: Simplify -1 into -1 1.446 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.446 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.446 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.446 * [taylor]: Taking taylor expansion of f in f 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 1 into 1 1.446 * [backup-simplify]: Simplify (/ 1 1) into 1 1.446 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.446 * [taylor]: Taking taylor expansion of n in f 1.446 * [backup-simplify]: Simplify n into n 1.446 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.446 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.446 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.446 * [taylor]: Taking taylor expansion of f in f 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 1 into 1 1.447 * [backup-simplify]: Simplify (/ 1 1) into 1 1.447 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.447 * [taylor]: Taking taylor expansion of n in f 1.447 * [backup-simplify]: Simplify n into n 1.447 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.447 * [backup-simplify]: Simplify (+ 1 0) into 1 1.447 * [backup-simplify]: Simplify (+ 1 0) into 1 1.448 * [backup-simplify]: Simplify (/ 1 1) into 1 1.448 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.448 * [taylor]: Taking taylor expansion of -1 in f 1.448 * [backup-simplify]: Simplify -1 into -1 1.448 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.448 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.448 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.448 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.448 * [taylor]: Taking taylor expansion of n in f 1.448 * [backup-simplify]: Simplify n into n 1.448 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.448 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.448 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.448 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.448 * [taylor]: Taking taylor expansion of n in f 1.448 * [backup-simplify]: Simplify n into n 1.448 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.449 * [backup-simplify]: Simplify (+ 1 0) into 1 1.449 * [backup-simplify]: Simplify (+ 1 0) into 1 1.449 * [backup-simplify]: Simplify (/ 1 1) into 1 1.449 * [backup-simplify]: Simplify (* -1 1) into -1 1.449 * [taylor]: Taking taylor expansion of -1 in n 1.449 * [backup-simplify]: Simplify -1 into -1 1.449 * [backup-simplify]: Simplify -1 into -1 1.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.450 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.450 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.450 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.451 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.451 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.451 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.451 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.451 * [taylor]: Taking taylor expansion of 2 in n 1.451 * [backup-simplify]: Simplify 2 into 2 1.451 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.451 * [taylor]: Taking taylor expansion of n in n 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 1 into 1 1.451 * [backup-simplify]: Simplify (/ 1 1) into 1 1.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.452 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.452 * [backup-simplify]: Simplify (- 0) into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.453 * [backup-simplify]: Simplify (+ 0 0) into 0 1.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.454 * [backup-simplify]: Simplify (- 0) into 0 1.454 * [backup-simplify]: Simplify (+ 0 0) into 0 1.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.455 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.455 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.455 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.455 * [taylor]: Taking taylor expansion of 2 in n 1.455 * [backup-simplify]: Simplify 2 into 2 1.455 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.455 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.455 * [taylor]: Taking taylor expansion of n in n 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [backup-simplify]: Simplify (* 1 1) into 1 1.456 * [backup-simplify]: Simplify (/ 1 1) into 1 1.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.458 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.458 * [backup-simplify]: Simplify (- 0) into 0 1.458 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.459 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.459 * [backup-simplify]: Simplify (- 0) into 0 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.460 * [backup-simplify]: Simplify (+ 0 0) into 0 1.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.461 * [backup-simplify]: Simplify (- 0) into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 1.463 * [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)))) 1.463 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.463 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.463 * [taylor]: Taking taylor expansion of 2 in n 1.463 * [backup-simplify]: Simplify 2 into 2 1.463 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.463 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.463 * [taylor]: Taking taylor expansion of n in n 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 1 into 1 1.463 * [backup-simplify]: Simplify (* 1 1) into 1 1.463 * [backup-simplify]: Simplify (* 1 1) into 1 1.463 * [backup-simplify]: Simplify (/ 1 1) into 1 1.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.468 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.468 * [backup-simplify]: Simplify (- 0) into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify -1 into -1 1.468 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.468 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.468 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.468 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.468 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.468 * [taylor]: Taking taylor expansion of f in n 1.468 * [backup-simplify]: Simplify f into f 1.468 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.468 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.469 * [taylor]: Taking taylor expansion of n in n 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (/ 1 1) into 1 1.469 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.469 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.469 * [taylor]: Taking taylor expansion of n in n 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (/ 1 1) into 1 1.469 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.469 * [taylor]: Taking taylor expansion of f in n 1.469 * [backup-simplify]: Simplify f into f 1.469 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.469 * [backup-simplify]: Simplify (+ 0 1) into 1 1.470 * [backup-simplify]: Simplify (+ 1 0) into 1 1.470 * [backup-simplify]: Simplify (/ 1 1) into 1 1.470 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.470 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.470 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.470 * [taylor]: Taking taylor expansion of f in f 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.470 * [backup-simplify]: Simplify (/ 1 1) into 1 1.470 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.470 * [taylor]: Taking taylor expansion of n in f 1.470 * [backup-simplify]: Simplify n into n 1.470 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.470 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.470 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.470 * [taylor]: Taking taylor expansion of n in f 1.470 * [backup-simplify]: Simplify n into n 1.470 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.470 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.470 * [taylor]: Taking taylor expansion of f in f 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.471 * [backup-simplify]: Simplify (/ 1 1) into 1 1.471 * [backup-simplify]: Simplify (+ 1 0) into 1 1.471 * [backup-simplify]: Simplify (- 1) into -1 1.471 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.472 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.472 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.472 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.472 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.472 * [taylor]: Taking taylor expansion of f in f 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 1 into 1 1.472 * [backup-simplify]: Simplify (/ 1 1) into 1 1.472 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.472 * [taylor]: Taking taylor expansion of n in f 1.472 * [backup-simplify]: Simplify n into n 1.472 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.472 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.472 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.472 * [taylor]: Taking taylor expansion of n in f 1.472 * [backup-simplify]: Simplify n into n 1.472 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.472 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.472 * [taylor]: Taking taylor expansion of f in f 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 1 into 1 1.472 * [backup-simplify]: Simplify (/ 1 1) into 1 1.473 * [backup-simplify]: Simplify (+ 1 0) into 1 1.473 * [backup-simplify]: Simplify (- 1) into -1 1.473 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.473 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.473 * [taylor]: Taking taylor expansion of -1 in n 1.473 * [backup-simplify]: Simplify -1 into -1 1.473 * [backup-simplify]: Simplify -1 into -1 1.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.474 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.474 * [backup-simplify]: Simplify (- 0) into 0 1.474 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.475 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.475 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.475 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.475 * [taylor]: Taking taylor expansion of 2 in n 1.475 * [backup-simplify]: Simplify 2 into 2 1.475 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.475 * [taylor]: Taking taylor expansion of n in n 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.475 * [backup-simplify]: Simplify (/ 1 1) into 1 1.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.476 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.476 * [backup-simplify]: Simplify (- 0) into 0 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.477 * [backup-simplify]: Simplify (+ 0 0) into 0 1.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.477 * [backup-simplify]: Simplify (- 0) into 0 1.478 * [backup-simplify]: Simplify (+ 0 0) into 0 1.478 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.478 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.478 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.478 * [taylor]: Taking taylor expansion of 2 in n 1.478 * [backup-simplify]: Simplify 2 into 2 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.478 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.478 * [taylor]: Taking taylor expansion of n in n 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 1 into 1 1.479 * [backup-simplify]: Simplify (* 1 1) into 1 1.479 * [backup-simplify]: Simplify (/ 1 1) into 1 1.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.481 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.481 * [backup-simplify]: Simplify (- 0) into 0 1.481 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.482 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.483 * [backup-simplify]: Simplify (- 0) into 0 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.484 * [backup-simplify]: Simplify (+ 0 0) into 0 1.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.484 * [backup-simplify]: Simplify (- 0) into 0 1.485 * [backup-simplify]: Simplify (+ 0 0) into 0 1.485 * [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)))) 1.486 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.486 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.486 * [taylor]: Taking taylor expansion of 2 in n 1.486 * [backup-simplify]: Simplify 2 into 2 1.486 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.486 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.486 * [taylor]: Taking taylor expansion of n in n 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (* 1 1) into 1 1.486 * [backup-simplify]: Simplify (* 1 1) into 1 1.486 * [backup-simplify]: Simplify (/ 1 1) into 1 1.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (- 0) into 0 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify -1 into -1 1.491 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.491 * [backup-simplify]: Simplify (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n)))) into (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) 1.491 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in (f n) around 0 1.491 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in n 1.491 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in n 1.491 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.491 * [taylor]: Taking taylor expansion of -1 in n 1.492 * [backup-simplify]: Simplify -1 into -1 1.492 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.492 * [taylor]: Taking taylor expansion of (+ n f) in n 1.492 * [taylor]: Taking taylor expansion of n in n 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 1 into 1 1.492 * [taylor]: Taking taylor expansion of f in n 1.492 * [backup-simplify]: Simplify f into f 1.492 * [taylor]: Taking taylor expansion of (- f n) in n 1.492 * [taylor]: Taking taylor expansion of f in n 1.492 * [backup-simplify]: Simplify f into f 1.492 * [taylor]: Taking taylor expansion of n in n 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 1 into 1 1.492 * [backup-simplify]: Simplify (+ 0 f) into f 1.492 * [backup-simplify]: Simplify (- 0) into 0 1.492 * [backup-simplify]: Simplify (+ f 0) into f 1.492 * [backup-simplify]: Simplify (/ f f) into 1 1.492 * [backup-simplify]: Simplify (* -1 1) into -1 1.493 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.493 * [backup-simplify]: Simplify (+ 1 0) into 1 1.493 * [backup-simplify]: Simplify (- 1) into -1 1.493 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.494 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 1.494 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 1.494 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 f))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) f)) 1.494 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in f 1.495 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 1.495 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.495 * [taylor]: Taking taylor expansion of -1 in f 1.495 * [backup-simplify]: Simplify -1 into -1 1.495 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.495 * [taylor]: Taking taylor expansion of (+ n f) in f 1.495 * [taylor]: Taking taylor expansion of n in f 1.495 * [backup-simplify]: Simplify n into n 1.495 * [taylor]: Taking taylor expansion of f in f 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 1 into 1 1.495 * [taylor]: Taking taylor expansion of (- f n) in f 1.495 * [taylor]: Taking taylor expansion of f in f 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 1 into 1 1.495 * [taylor]: Taking taylor expansion of n in f 1.495 * [backup-simplify]: Simplify n into n 1.495 * [backup-simplify]: Simplify (+ n 0) into n 1.495 * [backup-simplify]: Simplify (- n) into (- n) 1.495 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.495 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.495 * [backup-simplify]: Simplify (* -1 -1) into 1 1.495 * [backup-simplify]: Simplify (sqrt 1) into 1 1.496 * [backup-simplify]: Simplify (+ 0 1) into 1 1.496 * [backup-simplify]: Simplify (- 0) into 0 1.496 * [backup-simplify]: Simplify (+ 1 0) into 1 1.496 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.496 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.497 * [backup-simplify]: Simplify (/ (* 2 (/ 1 n)) (* 2 (sqrt 1))) into (/ 1 n) 1.497 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in f 1.497 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 1.497 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.497 * [taylor]: Taking taylor expansion of -1 in f 1.497 * [backup-simplify]: Simplify -1 into -1 1.497 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.497 * [taylor]: Taking taylor expansion of (+ n f) in f 1.497 * [taylor]: Taking taylor expansion of n in f 1.497 * [backup-simplify]: Simplify n into n 1.497 * [taylor]: Taking taylor expansion of f in f 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 1 into 1 1.497 * [taylor]: Taking taylor expansion of (- f n) in f 1.497 * [taylor]: Taking taylor expansion of f in f 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 1 into 1 1.497 * [taylor]: Taking taylor expansion of n in f 1.497 * [backup-simplify]: Simplify n into n 1.497 * [backup-simplify]: Simplify (+ n 0) into n 1.497 * [backup-simplify]: Simplify (- n) into (- n) 1.497 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.497 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.497 * [backup-simplify]: Simplify (* -1 -1) into 1 1.498 * [backup-simplify]: Simplify (sqrt 1) into 1 1.498 * [backup-simplify]: Simplify (+ 0 1) into 1 1.498 * [backup-simplify]: Simplify (- 0) into 0 1.498 * [backup-simplify]: Simplify (+ 1 0) into 1 1.498 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.499 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.499 * [backup-simplify]: Simplify (/ (* 2 (/ 1 n)) (* 2 (sqrt 1))) into (/ 1 n) 1.499 * [backup-simplify]: Simplify (* 1 1) into 1 1.499 * [taylor]: Taking taylor expansion of 1 in n 1.499 * [backup-simplify]: Simplify 1 into 1 1.499 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 1.500 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.500 * [taylor]: Taking taylor expansion of 2 in n 1.500 * [backup-simplify]: Simplify 2 into 2 1.500 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.500 * [taylor]: Taking taylor expansion of n in n 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (/ 1 1) into 1 1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.501 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify (+ 0 0) into 0 1.501 * [backup-simplify]: Simplify (- 0) into 0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.502 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.502 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.503 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow n 2))) (pow (/ 1 n) 2) (+)) (* 2 1)) into (/ 1/2 (pow n 2)) 1.504 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow n 2))) (+ (* (/ 1 n) (/ 1 n)) (* (/ 1/2 (pow n 2)) 1))) into (* 2 (/ 1 (pow n 2))) 1.504 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.504 * [taylor]: Taking taylor expansion of 2 in n 1.504 * [backup-simplify]: Simplify 2 into 2 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.504 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.504 * [taylor]: Taking taylor expansion of n in n 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.504 * [backup-simplify]: Simplify (* 1 1) into 1 1.504 * [backup-simplify]: Simplify (/ 1 1) into 1 1.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.506 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.506 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.507 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify (+ 0 0) into 0 1.508 * [backup-simplify]: Simplify (- 0) into 0 1.508 * [backup-simplify]: Simplify (+ 0 0) into 0 1.508 * [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)))) 1.509 * [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))) 1.509 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow n 3))) (+ (* 2 (* (/ 1 n) (/ 1/2 (pow n 2)))))) (* 2 1)) into (/ 1/2 (pow n 3)) 1.510 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow n 3))) (+ (* (/ 1 n) (/ 1/2 (pow n 2))) (+ (* (/ 1/2 (pow n 2)) (/ 1 n)) (* (/ 1/2 (pow n 3)) 1)))) into (* 2 (/ 1 (pow n 3))) 1.510 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.510 * [taylor]: Taking taylor expansion of 2 in n 1.510 * [backup-simplify]: Simplify 2 into 2 1.510 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.510 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.510 * [taylor]: Taking taylor expansion of n in n 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 1 into 1 1.510 * [backup-simplify]: Simplify (* 1 1) into 1 1.510 * [backup-simplify]: Simplify (* 1 1) into 1 1.511 * [backup-simplify]: Simplify (/ 1 1) into 1 1.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 1 into 1 1.518 * [backup-simplify]: Simplify (* (sqrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) (sqrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) 1.518 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in (f n) around 0 1.518 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in n 1.518 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.518 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.518 * [taylor]: Taking taylor expansion of -1 in n 1.518 * [backup-simplify]: Simplify -1 into -1 1.518 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.518 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.518 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.518 * [taylor]: Taking taylor expansion of f in n 1.518 * [backup-simplify]: Simplify f into f 1.518 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.518 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.518 * [taylor]: Taking taylor expansion of n in n 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 1 into 1 1.519 * [backup-simplify]: Simplify (/ 1 1) into 1 1.519 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.519 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.519 * [taylor]: Taking taylor expansion of f in n 1.519 * [backup-simplify]: Simplify f into f 1.519 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.519 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.519 * [taylor]: Taking taylor expansion of n in n 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.519 * [backup-simplify]: Simplify (/ 1 1) into 1 1.519 * [backup-simplify]: Simplify (+ 0 1) into 1 1.520 * [backup-simplify]: Simplify (- 1) into -1 1.520 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.520 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.520 * [backup-simplify]: Simplify (* -1 -1) into 1 1.521 * [backup-simplify]: Simplify (sqrt 1) into 1 1.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 1.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.522 * [backup-simplify]: Simplify (- 0) into 0 1.522 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 1.522 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 1.522 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* 0 -1)) into (* 2 (/ 1 f)) 1.523 * [backup-simplify]: Simplify (/ (* 2 (/ 1 f)) (* 2 (sqrt 1))) into (/ 1 f) 1.523 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in f 1.523 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.523 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.523 * [taylor]: Taking taylor expansion of -1 in f 1.523 * [backup-simplify]: Simplify -1 into -1 1.523 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.523 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.523 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.523 * [taylor]: Taking taylor expansion of f in f 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 1.523 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.523 * [taylor]: Taking taylor expansion of n in f 1.523 * [backup-simplify]: Simplify n into n 1.523 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.523 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.523 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.523 * [taylor]: Taking taylor expansion of f in f 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 1.523 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.523 * [taylor]: Taking taylor expansion of n in f 1.523 * [backup-simplify]: Simplify n into n 1.523 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.524 * [backup-simplify]: Simplify (+ 1 0) into 1 1.524 * [backup-simplify]: Simplify (+ 1 0) into 1 1.524 * [backup-simplify]: Simplify (/ 1 1) into 1 1.524 * [backup-simplify]: Simplify (* -1 1) into -1 1.525 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.525 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.526 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.526 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.526 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.526 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.527 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 n))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) n)) 1.527 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in f 1.527 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.527 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.527 * [taylor]: Taking taylor expansion of -1 in f 1.527 * [backup-simplify]: Simplify -1 into -1 1.527 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.527 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.527 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.527 * [taylor]: Taking taylor expansion of f in f 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 1 into 1 1.527 * [backup-simplify]: Simplify (/ 1 1) into 1 1.527 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.527 * [taylor]: Taking taylor expansion of n in f 1.527 * [backup-simplify]: Simplify n into n 1.527 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.527 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.527 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.527 * [taylor]: Taking taylor expansion of f in f 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 1 into 1 1.527 * [backup-simplify]: Simplify (/ 1 1) into 1 1.527 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.527 * [taylor]: Taking taylor expansion of n in f 1.527 * [backup-simplify]: Simplify n into n 1.527 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.528 * [backup-simplify]: Simplify (+ 1 0) into 1 1.528 * [backup-simplify]: Simplify (+ 1 0) into 1 1.528 * [backup-simplify]: Simplify (/ 1 1) into 1 1.528 * [backup-simplify]: Simplify (* -1 1) into -1 1.529 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.529 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.530 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.530 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.530 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.530 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.531 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 n))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) n)) 1.531 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 1.531 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.531 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.531 * [taylor]: Taking taylor expansion of -1 in n 1.531 * [backup-simplify]: Simplify -1 into -1 1.532 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.533 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 1.534 * [backup-simplify]: Simplify (pow (sqrt -1) 2) into (pow (sqrt -1) 2) 1.535 * [backup-simplify]: Simplify (+ (* (sqrt -1) (/ -1 (* (sqrt -1) n))) (* (/ -1 (* (sqrt -1) n)) (sqrt -1))) into (- (* 2 (/ 1 n))) 1.535 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.535 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) 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 (/ 1 n) in n 1.535 * [taylor]: Taking taylor expansion of n in n 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 1 into 1 1.535 * [backup-simplify]: Simplify (/ 1 1) into 1 1.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.536 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.536 * [backup-simplify]: Simplify (- 0) into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.537 * [backup-simplify]: Simplify (+ 0 0) into 0 1.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.538 * [backup-simplify]: Simplify (- 0) into 0 1.538 * [backup-simplify]: Simplify (+ 0 0) into 0 1.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.539 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.540 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow n 2)))) (pow (/ -1 (* (sqrt -1) n)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) 1.544 * [backup-simplify]: Simplify (+ (* (sqrt -1) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1)))) (+ (* (/ -1 (* (sqrt -1) n)) (/ -1 (* (sqrt -1) n))) (* (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) (sqrt -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.544 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.544 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.544 * [taylor]: Taking taylor expansion of 2 in n 1.544 * [backup-simplify]: Simplify 2 into 2 1.544 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.544 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.544 * [taylor]: Taking taylor expansion of n in n 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify 1 into 1 1.544 * [backup-simplify]: Simplify (* 1 1) into 1 1.544 * [backup-simplify]: Simplify (/ 1 1) into 1 1.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.547 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.547 * [backup-simplify]: Simplify (- 0) into 0 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.548 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.548 * [backup-simplify]: Simplify (- 0) into 0 1.548 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 1.549 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.550 * [backup-simplify]: Simplify (+ 0 0) into 0 1.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.551 * [backup-simplify]: Simplify (- 0) into 0 1.551 * [backup-simplify]: Simplify (+ 0 0) into 0 1.552 * [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))) 1.553 * [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)))) 1.555 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow n 3)))) (+ (* 2 (* (/ -1 (* (sqrt -1) n)) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))))))) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) 1.561 * [backup-simplify]: Simplify (+ (* (sqrt -1) (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1)))) (+ (* (/ -1 (* (sqrt -1) n)) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1)))) (+ (* (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) (/ -1 (* (sqrt -1) n))) (* (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) (sqrt -1))))) into (- (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3))))) 1.561 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3))))) in n 1.561 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) in n 1.561 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 3)) in n 1.561 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.561 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.561 * [taylor]: Taking taylor expansion of -1 in n 1.561 * [backup-simplify]: Simplify -1 into -1 1.562 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.562 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.562 * [taylor]: Taking taylor expansion of n in n 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 1.563 * [backup-simplify]: Simplify (* 1 1) into 1 1.563 * [backup-simplify]: Simplify (* 1 1) into 1 1.564 * [backup-simplify]: Simplify (* (pow (sqrt -1) 2) 1) into (pow (sqrt -1) 2) 1.565 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 2)) into (/ 1 (pow (sqrt -1) 2)) 1.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3)))) in n 1.565 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) in n 1.565 * [taylor]: Taking taylor expansion of (* (pow n 3) (pow (sqrt -1) 2)) in n 1.565 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.565 * [taylor]: Taking taylor expansion of n in n 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.565 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.565 * [taylor]: Taking taylor expansion of -1 in n 1.565 * [backup-simplify]: Simplify -1 into -1 1.566 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.566 * [backup-simplify]: Simplify (* 1 1) into 1 1.566 * [backup-simplify]: Simplify (* 1 1) into 1 1.567 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 1.568 * [backup-simplify]: Simplify (* 1 (pow (sqrt -1) 2)) into (pow (sqrt -1) 2) 1.569 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 2)) into (/ 1 (pow (sqrt -1) 2)) 1.569 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) 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 (/ 1 (pow n 3)) in n 1.569 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.569 * [taylor]: Taking taylor expansion of n in n 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 1 into 1 1.569 * [backup-simplify]: Simplify (* 1 1) into 1 1.569 * [backup-simplify]: Simplify (* 1 1) into 1 1.570 * [backup-simplify]: Simplify (/ 1 1) into 1 1.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.572 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 1.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.573 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 1.573 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 1.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 1.575 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -1))))) into 0 1.576 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.576 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (* 0 1)) into 0 1.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))))) into 0 1.578 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 1.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 1.580 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 1.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 1.581 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -1))))) into 0 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.583 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 1.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.584 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 1.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 0) (* 0 (pow (sqrt -1) 2))))) into 0 1.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt -1) 2))) into 0 1.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))))) into 0 1.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt -1) 2)))) into 0 1.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 1.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 1.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.594 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.594 * [backup-simplify]: Simplify (+ 0 0) into 0 1.595 * [backup-simplify]: Simplify (- 0) into 0 1.595 * [backup-simplify]: Simplify (+ 0 0) into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify (pow (sqrt -1) 2) into (pow (sqrt -1) 2) 1.596 * [backup-simplify]: Simplify (* (sqrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) (sqrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.596 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.596 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.596 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.596 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.596 * [taylor]: Taking taylor expansion of f in n 1.596 * [backup-simplify]: Simplify f into f 1.596 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.596 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.596 * [taylor]: Taking taylor expansion of n in n 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [backup-simplify]: Simplify (/ 1 1) into 1 1.596 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.596 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.596 * [taylor]: Taking taylor expansion of n in n 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.597 * [backup-simplify]: Simplify (/ 1 1) into 1 1.597 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.597 * [taylor]: Taking taylor expansion of f in n 1.597 * [backup-simplify]: Simplify f into f 1.597 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.597 * [backup-simplify]: Simplify (+ 0 1) into 1 1.597 * [backup-simplify]: Simplify (+ 1 0) into 1 1.597 * [backup-simplify]: Simplify (/ 1 1) into 1 1.597 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.598 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.598 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.598 * [taylor]: Taking taylor expansion of f in f 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 1.598 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.598 * [taylor]: Taking taylor expansion of n in f 1.598 * [backup-simplify]: Simplify n into n 1.598 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.598 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.598 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.598 * [taylor]: Taking taylor expansion of n in f 1.598 * [backup-simplify]: Simplify n into n 1.598 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.598 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.598 * [taylor]: Taking taylor expansion of f in f 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 1.598 * [backup-simplify]: Simplify (+ 1 0) into 1 1.599 * [backup-simplify]: Simplify (- 1) into -1 1.599 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.599 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.599 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.599 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.599 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.599 * [taylor]: Taking taylor expansion of f in f 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (/ 1 1) into 1 1.599 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.600 * [taylor]: Taking taylor expansion of n in f 1.600 * [backup-simplify]: Simplify n into n 1.600 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.600 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.600 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.600 * [taylor]: Taking taylor expansion of n in f 1.600 * [backup-simplify]: Simplify n into n 1.600 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.600 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.600 * [taylor]: Taking taylor expansion of f in f 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [backup-simplify]: Simplify (/ 1 1) into 1 1.600 * [backup-simplify]: Simplify (+ 1 0) into 1 1.603 * [backup-simplify]: Simplify (- 1) into -1 1.603 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.603 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.603 * [taylor]: Taking taylor expansion of -1 in n 1.603 * [backup-simplify]: Simplify -1 into -1 1.604 * [backup-simplify]: Simplify -1 into -1 1.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.604 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.605 * [backup-simplify]: Simplify (- 0) into 0 1.605 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.605 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.605 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.605 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.605 * [taylor]: Taking taylor expansion of 2 in n 1.605 * [backup-simplify]: Simplify 2 into 2 1.605 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.605 * [taylor]: Taking taylor expansion of n in n 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 1 into 1 1.605 * [backup-simplify]: Simplify (/ 1 1) into 1 1.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.606 * [backup-simplify]: Simplify (+ (* 2 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)))) into 0 1.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.607 * [backup-simplify]: Simplify (+ 0 0) into 0 1.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.608 * [backup-simplify]: Simplify (- 0) into 0 1.608 * [backup-simplify]: Simplify (+ 0 0) into 0 1.608 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.608 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.609 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) 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 2)) in n 1.609 * [taylor]: Taking taylor expansion of (pow n 2) 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 1.609 * [backup-simplify]: Simplify (* 1 1) into 1 1.609 * [backup-simplify]: Simplify (/ 1 1) into 1 1.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.611 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.611 * [backup-simplify]: Simplify (- 0) into 0 1.611 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.613 * [backup-simplify]: Simplify (- 0) into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.613 * [backup-simplify]: Simplify (+ 0 0) into 0 1.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (- 0) into 0 1.614 * [backup-simplify]: Simplify (+ 0 0) into 0 1.615 * [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)))) 1.616 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.616 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.616 * [taylor]: Taking taylor expansion of 2 in n 1.616 * [backup-simplify]: Simplify 2 into 2 1.616 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.616 * [taylor]: Taking taylor expansion of (pow n 3) 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 * [backup-simplify]: Simplify (* 1 1) into 1 1.616 * [backup-simplify]: Simplify (* 1 1) into 1 1.616 * [backup-simplify]: Simplify (/ 1 1) into 1 1.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.621 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.621 * [backup-simplify]: Simplify (- 0) into 0 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify -1 into -1 1.621 * * * [progress]: simplifying candidates 1.630 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (- (log (- (+ f n))) (log (- 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(sqrt (/ 1 (- h0 h1))) (sqrt (/ (- (+ h0 h1)) (- h0 h1)))) (* (sqrt (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (sqrt (/ (- (+ h0 h1)) (- h0 h1)))) (* (sqrt (+ h0 h1)) (sqrt (/ (- (+ h0 h1)) (- h0 h1)))) (* (sqrt (sqrt (/ (- (+ h0 h1)) (- h0 h1)))) (sqrt (/ (- (+ h0 h1)) (- h0 h1)))) (* (sqrt (/ (- (+ h0 h1)) (- h0 h1))) (sqrt (/ (- (+ h0 h1)) (- h0 h1)))) (* (sqrt (/ (- (+ h0 h1)) (- h0 h1))) (sqrt (- (+ h0 h1)))) (* (sqrt (- (+ h0 h1))) (sqrt (/ (- (+ h0 h1)) (- h0 h1)))) 1 -1 -1 1 -1 -1 1 (pow (sqrt -1) 2) -1 1.651 * * [simplify]: iteration 0 : 655 enodes (cost 4631 ) 1.664 * * [simplify]: iteration 1 : 3224 enodes (cost 4497 ) 1.732 * * [simplify]: iteration 2 : 5001 enodes (cost 4482 ) 1.751 * * * [progress]: adding candidates to table 2.548 * [progress]: [Phase 3 of 3] Extracting. 2.548 * * [regime]: Finding splitpoints for: (# # #) 2.549 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 2.549 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 2.564 * * * * [regimes]: Trying to branch on n from (# # #) 2.577 * * * * [regimes]: Trying to branch on f from (# # #) 2.589 * * * [regime]: Found split indices: #