0.690 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.316 * * * [progress]: [2/2] Setting up program. 0.319 * [progress]: [Phase 2 of 3] Improving. 0.321 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.322 * [simplify]: Sending expressions to egg_math: (/ (- (+ h0 h1)) (- h0 h1)) 0.324 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.326 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.327 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.329 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.330 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.331 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.333 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.334 * * [progress]: iteration 1 / 4 0.334 * * * [progress]: picking best candidate 0.336 * * * * [pick]: Picked # 0.336 * * * [progress]: localizing error 0.343 * * * [progress]: generating rewritten candidates 0.343 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.409 * * * [progress]: generating series expansions 0.410 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.415 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.415 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.415 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.415 * [taylor]: Taking taylor expansion of -1 in n 0.416 * [backup-simplify]: Simplify -1 into -1 0.416 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.416 * [taylor]: Taking taylor expansion of (+ n f) 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 * [taylor]: Taking taylor expansion of f in n 0.416 * [backup-simplify]: Simplify f into f 0.416 * [taylor]: Taking taylor expansion of (- f n) in n 0.416 * [taylor]: Taking taylor expansion of f in n 0.416 * [backup-simplify]: Simplify f into f 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 (+ 0 f) into f 0.417 * [backup-simplify]: Simplify (- 0) into 0 0.417 * [backup-simplify]: Simplify (+ f 0) into f 0.417 * [backup-simplify]: Simplify (/ f f) into 1 0.417 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.417 * [taylor]: Taking taylor expansion of -1 in f 0.417 * [backup-simplify]: Simplify -1 into -1 0.417 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.417 * [taylor]: Taking taylor expansion of (+ n f) in f 0.417 * [taylor]: Taking taylor expansion of n in f 0.417 * [backup-simplify]: Simplify n into n 0.417 * [taylor]: Taking taylor expansion of f in f 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [taylor]: Taking taylor expansion of (- f n) in f 0.417 * [taylor]: Taking taylor expansion of f in f 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [taylor]: Taking taylor expansion of n in f 0.417 * [backup-simplify]: Simplify n into n 0.417 * [backup-simplify]: Simplify (+ n 0) into n 0.417 * [backup-simplify]: Simplify (- n) into (- n) 0.417 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.417 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.417 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.417 * [taylor]: Taking taylor expansion of -1 in f 0.417 * [backup-simplify]: Simplify -1 into -1 0.417 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.417 * [taylor]: Taking taylor expansion of (+ n f) in f 0.417 * [taylor]: Taking taylor expansion of n in f 0.417 * [backup-simplify]: Simplify n into n 0.417 * [taylor]: Taking taylor expansion of f in f 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.418 * [taylor]: Taking taylor expansion of (- f n) in f 0.418 * [taylor]: Taking taylor expansion of f in f 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [taylor]: Taking taylor expansion of n in f 0.418 * [backup-simplify]: Simplify n into n 0.418 * [backup-simplify]: Simplify (+ n 0) into n 0.418 * [backup-simplify]: Simplify (- n) into (- n) 0.418 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.418 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.419 * [backup-simplify]: Simplify (* -1 -1) into 1 0.419 * [taylor]: Taking taylor expansion of 1 in n 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (+ 0 1) into 1 0.419 * [backup-simplify]: Simplify (- 0) into 0 0.420 * [backup-simplify]: Simplify (+ 1 0) into 1 0.420 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.420 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.420 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.420 * [taylor]: Taking taylor expansion of 2 in n 0.420 * [backup-simplify]: Simplify 2 into 2 0.420 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.420 * [taylor]: Taking taylor expansion of n in n 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (- 0) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.423 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.424 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.424 * [taylor]: Taking taylor expansion of 2 in n 0.424 * [backup-simplify]: Simplify 2 into 2 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.424 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.424 * [taylor]: Taking taylor expansion of n in n 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (* 1 1) into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [backup-simplify]: Simplify (- 0) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [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)))) 0.430 * [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))) 0.430 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.430 * [taylor]: Taking taylor expansion of 2 in n 0.430 * [backup-simplify]: Simplify 2 into 2 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.430 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.430 * [taylor]: Taking taylor expansion of n in n 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (* 1 1) into 1 0.430 * [backup-simplify]: Simplify (* 1 1) into 1 0.431 * [backup-simplify]: Simplify (/ 1 1) into 1 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.437 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.437 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.437 * [taylor]: Taking taylor expansion of -1 in n 0.437 * [backup-simplify]: Simplify -1 into -1 0.437 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.437 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.437 * [taylor]: Taking taylor expansion of f in n 0.437 * [backup-simplify]: Simplify f into f 0.437 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.437 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.437 * [taylor]: Taking taylor expansion of n in n 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.437 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.437 * [taylor]: Taking taylor expansion of f in n 0.437 * [backup-simplify]: Simplify f into f 0.437 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.437 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.437 * [taylor]: Taking taylor expansion of n in n 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [backup-simplify]: Simplify (+ 0 1) into 1 0.438 * [backup-simplify]: Simplify (- 1) into -1 0.438 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.439 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.439 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.439 * [taylor]: Taking taylor expansion of -1 in f 0.439 * [backup-simplify]: Simplify -1 into -1 0.439 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.439 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.439 * [taylor]: Taking taylor expansion of f in f 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.439 * [taylor]: Taking taylor expansion of n in f 0.439 * [backup-simplify]: Simplify n into n 0.439 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.439 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.439 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.439 * [taylor]: Taking taylor expansion of f in f 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.439 * [taylor]: Taking taylor expansion of n in f 0.439 * [backup-simplify]: Simplify n into n 0.439 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.440 * [backup-simplify]: Simplify (+ 1 0) into 1 0.440 * [backup-simplify]: Simplify (+ 1 0) into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.440 * [taylor]: Taking taylor expansion of -1 in f 0.440 * [backup-simplify]: Simplify -1 into -1 0.440 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.440 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.440 * [taylor]: Taking taylor expansion of f in f 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.441 * [taylor]: Taking taylor expansion of n in f 0.441 * [backup-simplify]: Simplify n into n 0.441 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.441 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.441 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.441 * [taylor]: Taking taylor expansion of f in f 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.441 * [taylor]: Taking taylor expansion of n in f 0.441 * [backup-simplify]: Simplify n into n 0.441 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.441 * [backup-simplify]: Simplify (+ 1 0) into 1 0.441 * [backup-simplify]: Simplify (+ 1 0) into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [backup-simplify]: Simplify (* -1 1) into -1 0.442 * [taylor]: Taking taylor expansion of -1 in n 0.442 * [backup-simplify]: Simplify -1 into -1 0.442 * [backup-simplify]: Simplify -1 into -1 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.443 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.443 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.444 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.444 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.444 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.444 * [taylor]: Taking taylor expansion of 2 in n 0.444 * [backup-simplify]: Simplify 2 into 2 0.444 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.444 * [taylor]: Taking taylor expansion of n in n 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 2 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 0 into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.447 * [backup-simplify]: Simplify (- 0) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.448 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.448 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.448 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.448 * [taylor]: Taking taylor expansion of 2 in n 0.448 * [backup-simplify]: Simplify 2 into 2 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.448 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.448 * [taylor]: Taking taylor expansion of n in n 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (* 1 1) into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.451 * [backup-simplify]: Simplify (- 0) into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.452 * [backup-simplify]: Simplify (- 0) into 0 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.454 * [backup-simplify]: Simplify (- 0) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.455 * [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))) 0.456 * [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)))) 0.456 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.456 * [taylor]: Taking taylor expansion of 2 in n 0.456 * [backup-simplify]: Simplify 2 into 2 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.456 * [taylor]: Taking taylor expansion of (pow n 3) 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 0.457 * [backup-simplify]: Simplify (* 1 1) into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify -1 into -1 0.462 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.462 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.462 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.462 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.462 * [taylor]: Taking taylor expansion of f in n 0.462 * [backup-simplify]: Simplify f into f 0.462 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.462 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.462 * [taylor]: Taking taylor expansion of n in n 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.462 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.462 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.462 * [taylor]: Taking taylor expansion of n in n 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.463 * [taylor]: Taking taylor expansion of f in n 0.463 * [backup-simplify]: Simplify f into f 0.463 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.463 * [backup-simplify]: Simplify (+ 0 1) into 1 0.463 * [backup-simplify]: Simplify (+ 1 0) into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.464 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.464 * [taylor]: Taking taylor expansion of f in f 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.464 * [taylor]: Taking taylor expansion of n in f 0.464 * [backup-simplify]: Simplify n into n 0.464 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.464 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.464 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.464 * [taylor]: Taking taylor expansion of n in f 0.464 * [backup-simplify]: Simplify n into n 0.464 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.464 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.464 * [taylor]: Taking taylor expansion of f in f 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [backup-simplify]: Simplify (+ 1 0) into 1 0.465 * [backup-simplify]: Simplify (- 1) into -1 0.465 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.465 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.465 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.465 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.465 * [taylor]: Taking taylor expansion of f in f 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.466 * [taylor]: Taking taylor expansion of n in f 0.466 * [backup-simplify]: Simplify n into n 0.466 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.466 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.466 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.466 * [taylor]: Taking taylor expansion of n in f 0.466 * [backup-simplify]: Simplify n into n 0.466 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.466 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.466 * [taylor]: Taking taylor expansion of f in f 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 0.466 * [backup-simplify]: Simplify (+ 1 0) into 1 0.466 * [backup-simplify]: Simplify (- 1) into -1 0.471 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.471 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.471 * [taylor]: Taking taylor expansion of -1 in n 0.472 * [backup-simplify]: Simplify -1 into -1 0.472 * [backup-simplify]: Simplify -1 into -1 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.473 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.473 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.473 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.473 * [taylor]: Taking taylor expansion of 2 in n 0.473 * [backup-simplify]: Simplify 2 into 2 0.473 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.473 * [taylor]: Taking taylor expansion of n in n 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 2 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)))) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.477 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.477 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) 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 2)) in n 0.477 * [taylor]: Taking taylor expansion of (pow n 2) 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 0.477 * [backup-simplify]: Simplify (* 1 1) into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.480 * [backup-simplify]: Simplify (- 0) into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.481 * [backup-simplify]: Simplify (- 0) into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (- 0) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.484 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.484 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.484 * [taylor]: Taking taylor expansion of 2 in n 0.484 * [backup-simplify]: Simplify 2 into 2 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.484 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.484 * [taylor]: Taking taylor expansion of n in n 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (* 1 1) into 1 0.484 * [backup-simplify]: Simplify (* 1 1) into 1 0.485 * [backup-simplify]: Simplify (/ 1 1) into 1 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- 0) into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify -1 into -1 0.490 * * * [progress]: simplifying candidates 0.491 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ 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 0.492 * [simplify]: Sending expressions to egg_math: (expm1 (/ (- (+ h0 h1)) (- h0 h1))) (log1p (/ (- (+ h0 h1)) (- h0 h1))) (- (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 0.496 * * [simplify]: iteration 0 : 293 enodes (cost 774 ) 0.501 * * [simplify]: iteration 1 : 927 enodes (cost 758 ) 0.515 * * [simplify]: iteration 2 : 3021 enodes (cost 743 ) 0.553 * * [simplify]: iteration 3 : 5001 enodes (cost 743 ) 0.557 * * * [progress]: adding candidates to table 0.700 * * [progress]: iteration 2 / 4 0.700 * * * [progress]: picking best candidate 0.706 * * * * [pick]: Picked # 0.706 * * * [progress]: localizing error 0.715 * * * [progress]: generating rewritten candidates 0.716 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.747 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.805 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.872 * * * [progress]: generating series expansions 0.872 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.872 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.872 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.872 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.872 * [taylor]: Taking taylor expansion of -1 in n 0.872 * [backup-simplify]: Simplify -1 into -1 0.872 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.873 * [taylor]: Taking taylor expansion of (+ n f) in n 0.873 * [taylor]: Taking taylor expansion of n in n 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 1 into 1 0.873 * [taylor]: Taking taylor expansion of f in n 0.873 * [backup-simplify]: Simplify f into f 0.873 * [taylor]: Taking taylor expansion of (- f n) in n 0.873 * [taylor]: Taking taylor expansion of f in n 0.873 * [backup-simplify]: Simplify f into f 0.873 * [taylor]: Taking taylor expansion of n in n 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 1 into 1 0.873 * [backup-simplify]: Simplify (+ 0 f) into f 0.873 * [backup-simplify]: Simplify (- 0) into 0 0.873 * [backup-simplify]: Simplify (+ f 0) into f 0.873 * [backup-simplify]: Simplify (/ f f) into 1 0.873 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.873 * [taylor]: Taking taylor expansion of -1 in f 0.873 * [backup-simplify]: Simplify -1 into -1 0.873 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.873 * [taylor]: Taking taylor expansion of (+ n f) in f 0.873 * [taylor]: Taking taylor expansion of n in f 0.873 * [backup-simplify]: Simplify n into n 0.873 * [taylor]: Taking taylor expansion of f in f 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 1 into 1 0.873 * [taylor]: Taking taylor expansion of (- f n) in f 0.873 * [taylor]: Taking taylor expansion of f in f 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 1 into 1 0.873 * [taylor]: Taking taylor expansion of n in f 0.873 * [backup-simplify]: Simplify n into n 0.873 * [backup-simplify]: Simplify (+ n 0) into n 0.873 * [backup-simplify]: Simplify (- n) into (- n) 0.874 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.874 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.874 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.874 * [taylor]: Taking taylor expansion of -1 in f 0.874 * [backup-simplify]: Simplify -1 into -1 0.874 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.874 * [taylor]: Taking taylor expansion of (+ n f) in f 0.874 * [taylor]: Taking taylor expansion of n in f 0.874 * [backup-simplify]: Simplify n into n 0.874 * [taylor]: Taking taylor expansion of f in f 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [taylor]: Taking taylor expansion of (- f n) in f 0.874 * [taylor]: Taking taylor expansion of f in f 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [taylor]: Taking taylor expansion of n in f 0.874 * [backup-simplify]: Simplify n into n 0.874 * [backup-simplify]: Simplify (+ n 0) into n 0.874 * [backup-simplify]: Simplify (- n) into (- n) 0.874 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.874 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.874 * [backup-simplify]: Simplify (* -1 -1) into 1 0.874 * [taylor]: Taking taylor expansion of 1 in n 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [backup-simplify]: Simplify 1 into 1 0.875 * [backup-simplify]: Simplify (+ 0 1) into 1 0.878 * [backup-simplify]: Simplify (- 0) into 0 0.879 * [backup-simplify]: Simplify (+ 1 0) into 1 0.879 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.879 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.879 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.879 * [taylor]: Taking taylor expansion of 2 in n 0.879 * [backup-simplify]: Simplify 2 into 2 0.879 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.879 * [taylor]: Taking taylor expansion of n in n 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (/ 1 1) into 1 0.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.881 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify (+ 0 0) into 0 0.881 * [backup-simplify]: Simplify (- 0) into 0 0.881 * [backup-simplify]: Simplify (+ 0 0) into 0 0.881 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.882 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.882 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.882 * [taylor]: Taking taylor expansion of 2 in n 0.882 * [backup-simplify]: Simplify 2 into 2 0.882 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.882 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.882 * [taylor]: Taking taylor expansion of n in n 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.882 * [backup-simplify]: Simplify (* 1 1) into 1 0.883 * [backup-simplify]: Simplify (/ 1 1) into 1 0.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.885 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.886 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify (+ 0 0) into 0 0.886 * [backup-simplify]: Simplify (- 0) into 0 0.887 * [backup-simplify]: Simplify (+ 0 0) into 0 0.887 * [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)))) 0.888 * [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))) 0.888 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.888 * [taylor]: Taking taylor expansion of 2 in n 0.888 * [backup-simplify]: Simplify 2 into 2 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.888 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.888 * [taylor]: Taking taylor expansion of n in n 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [backup-simplify]: Simplify (* 1 1) into 1 0.888 * [backup-simplify]: Simplify (* 1 1) into 1 0.888 * [backup-simplify]: Simplify (/ 1 1) into 1 0.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.893 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.893 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.894 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.894 * [taylor]: Taking taylor expansion of -1 in n 0.894 * [backup-simplify]: Simplify -1 into -1 0.894 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.894 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.894 * [taylor]: Taking taylor expansion of f in n 0.894 * [backup-simplify]: Simplify f into f 0.894 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.894 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.894 * [taylor]: Taking taylor expansion of n in n 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify (/ 1 1) into 1 0.894 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.894 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.894 * [taylor]: Taking taylor expansion of f in n 0.894 * [backup-simplify]: Simplify f into f 0.894 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.894 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.894 * [taylor]: Taking taylor expansion of n in n 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify (/ 1 1) into 1 0.895 * [backup-simplify]: Simplify (+ 0 1) into 1 0.895 * [backup-simplify]: Simplify (- 1) into -1 0.895 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.895 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.895 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.895 * [taylor]: Taking taylor expansion of -1 in f 0.895 * [backup-simplify]: Simplify -1 into -1 0.895 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.896 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.896 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.896 * [taylor]: Taking taylor expansion of f in f 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.896 * [backup-simplify]: Simplify (/ 1 1) into 1 0.896 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.896 * [taylor]: Taking taylor expansion of n in f 0.896 * [backup-simplify]: Simplify n into n 0.896 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.896 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.896 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.896 * [taylor]: Taking taylor expansion of f in f 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.896 * [backup-simplify]: Simplify (/ 1 1) into 1 0.896 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.896 * [taylor]: Taking taylor expansion of n in f 0.896 * [backup-simplify]: Simplify n into n 0.896 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.897 * [backup-simplify]: Simplify (+ 1 0) into 1 0.897 * [backup-simplify]: Simplify (+ 1 0) into 1 0.897 * [backup-simplify]: Simplify (/ 1 1) into 1 0.897 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.897 * [taylor]: Taking taylor expansion of -1 in f 0.897 * [backup-simplify]: Simplify -1 into -1 0.897 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.897 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.897 * [taylor]: Taking taylor expansion of f in f 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.898 * [backup-simplify]: Simplify (/ 1 1) into 1 0.898 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.898 * [taylor]: Taking taylor expansion of n in f 0.898 * [backup-simplify]: Simplify n into n 0.898 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.898 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.898 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.898 * [taylor]: Taking taylor expansion of f in f 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 1 into 1 0.898 * [backup-simplify]: Simplify (/ 1 1) into 1 0.898 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.898 * [taylor]: Taking taylor expansion of n in f 0.898 * [backup-simplify]: Simplify n into n 0.898 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.898 * [backup-simplify]: Simplify (+ 1 0) into 1 0.899 * [backup-simplify]: Simplify (+ 1 0) into 1 0.899 * [backup-simplify]: Simplify (/ 1 1) into 1 0.899 * [backup-simplify]: Simplify (* -1 1) into -1 0.899 * [taylor]: Taking taylor expansion of -1 in n 0.899 * [backup-simplify]: Simplify -1 into -1 0.899 * [backup-simplify]: Simplify -1 into -1 0.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.900 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.900 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.901 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.901 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.901 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.901 * [taylor]: Taking taylor expansion of 2 in n 0.901 * [backup-simplify]: Simplify 2 into 2 0.901 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.901 * [taylor]: Taking taylor expansion of n in n 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 1 into 1 0.901 * [backup-simplify]: Simplify (/ 1 1) into 1 0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.902 * [backup-simplify]: Simplify (- 0) into 0 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.903 * [backup-simplify]: Simplify (+ 0 0) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.904 * [backup-simplify]: Simplify (- 0) into 0 0.904 * [backup-simplify]: Simplify (+ 0 0) into 0 0.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.905 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.905 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.905 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.905 * [taylor]: Taking taylor expansion of 2 in n 0.905 * [backup-simplify]: Simplify 2 into 2 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.905 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.905 * [taylor]: Taking taylor expansion of n in n 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 1 into 1 0.905 * [backup-simplify]: Simplify (* 1 1) into 1 0.906 * [backup-simplify]: Simplify (/ 1 1) into 1 0.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.908 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.908 * [backup-simplify]: Simplify (- 0) into 0 0.908 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.909 * [backup-simplify]: Simplify (- 0) into 0 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.910 * [backup-simplify]: Simplify (+ 0 0) into 0 0.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.911 * [backup-simplify]: Simplify (- 0) into 0 0.911 * [backup-simplify]: Simplify (+ 0 0) into 0 0.912 * [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))) 0.913 * [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)))) 0.913 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.913 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.913 * [taylor]: Taking taylor expansion of 2 in n 0.913 * [backup-simplify]: Simplify 2 into 2 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.913 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.913 * [taylor]: Taking taylor expansion of n in n 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 1 into 1 0.913 * [backup-simplify]: Simplify (* 1 1) into 1 0.914 * [backup-simplify]: Simplify (* 1 1) into 1 0.914 * [backup-simplify]: Simplify (/ 1 1) into 1 0.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.919 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.919 * [backup-simplify]: Simplify (- 0) into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify -1 into -1 0.919 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.919 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.919 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.919 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.919 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.919 * [taylor]: Taking taylor expansion of f in n 0.919 * [backup-simplify]: Simplify f into f 0.919 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.919 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.919 * [taylor]: Taking taylor expansion of n in n 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (/ 1 1) into 1 0.919 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.920 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.920 * [taylor]: Taking taylor expansion of n in n 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [backup-simplify]: Simplify (/ 1 1) into 1 0.920 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.920 * [taylor]: Taking taylor expansion of f in n 0.920 * [backup-simplify]: Simplify f into f 0.920 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.920 * [backup-simplify]: Simplify (+ 0 1) into 1 0.920 * [backup-simplify]: Simplify (+ 1 0) into 1 0.921 * [backup-simplify]: Simplify (/ 1 1) into 1 0.921 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.921 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.921 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.921 * [taylor]: Taking taylor expansion of f in f 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [backup-simplify]: Simplify (/ 1 1) into 1 0.921 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.921 * [taylor]: Taking taylor expansion of n in f 0.921 * [backup-simplify]: Simplify n into n 0.921 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.921 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.921 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.921 * [taylor]: Taking taylor expansion of n in f 0.921 * [backup-simplify]: Simplify n into n 0.921 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.921 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.921 * [taylor]: Taking taylor expansion of f in f 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [backup-simplify]: Simplify (/ 1 1) into 1 0.922 * [backup-simplify]: Simplify (+ 1 0) into 1 0.922 * [backup-simplify]: Simplify (- 1) into -1 0.922 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.922 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.922 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.922 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.922 * [taylor]: Taking taylor expansion of f in f 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 1 into 1 0.923 * [backup-simplify]: Simplify (/ 1 1) into 1 0.923 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.923 * [taylor]: Taking taylor expansion of n in f 0.923 * [backup-simplify]: Simplify n into n 0.923 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.923 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.923 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.923 * [taylor]: Taking taylor expansion of n in f 0.923 * [backup-simplify]: Simplify n into n 0.923 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.923 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.923 * [taylor]: Taking taylor expansion of f in f 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [backup-simplify]: Simplify (/ 1 1) into 1 0.923 * [backup-simplify]: Simplify (+ 1 0) into 1 0.924 * [backup-simplify]: Simplify (- 1) into -1 0.924 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.924 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.924 * [taylor]: Taking taylor expansion of -1 in n 0.924 * [backup-simplify]: Simplify -1 into -1 0.924 * [backup-simplify]: Simplify -1 into -1 0.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.925 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.925 * [backup-simplify]: Simplify (- 0) into 0 0.925 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.925 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.925 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.925 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.926 * [taylor]: Taking taylor expansion of 2 in n 0.926 * [backup-simplify]: Simplify 2 into 2 0.926 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.926 * [taylor]: Taking taylor expansion of n in n 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 1 into 1 0.926 * [backup-simplify]: Simplify (/ 1 1) into 1 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.927 * [backup-simplify]: Simplify (- 0) into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.928 * [backup-simplify]: Simplify (+ 0 0) into 0 0.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.928 * [backup-simplify]: Simplify (- 0) into 0 0.929 * [backup-simplify]: Simplify (+ 0 0) into 0 0.929 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.929 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.929 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.929 * [taylor]: Taking taylor expansion of 2 in n 0.929 * [backup-simplify]: Simplify 2 into 2 0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.929 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.929 * [taylor]: Taking taylor expansion of n in n 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (* 1 1) into 1 0.930 * [backup-simplify]: Simplify (/ 1 1) into 1 0.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.932 * [backup-simplify]: Simplify (- 0) into 0 0.932 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.934 * [backup-simplify]: Simplify (- 0) into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.935 * [backup-simplify]: Simplify (+ 0 0) into 0 0.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (- 0) into 0 0.936 * [backup-simplify]: Simplify (+ 0 0) into 0 0.937 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.937 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.937 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.937 * [taylor]: Taking taylor expansion of 2 in n 0.937 * [backup-simplify]: Simplify 2 into 2 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.937 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.937 * [taylor]: Taking taylor expansion of n in n 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (* 1 1) into 1 0.937 * [backup-simplify]: Simplify (* 1 1) into 1 0.938 * [backup-simplify]: Simplify (/ 1 1) into 1 0.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.943 * [backup-simplify]: Simplify (- 0) into 0 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify -1 into -1 0.943 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.943 * [backup-simplify]: Simplify (log (exp (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) 0.943 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.943 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.943 * [taylor]: Taking taylor expansion of -1 in n 0.943 * [backup-simplify]: Simplify -1 into -1 0.943 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.943 * [taylor]: Taking taylor expansion of (+ n f) in n 0.943 * [taylor]: Taking taylor expansion of n in n 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [taylor]: Taking taylor expansion of f in n 0.943 * [backup-simplify]: Simplify f into f 0.943 * [taylor]: Taking taylor expansion of (- f n) in n 0.943 * [taylor]: Taking taylor expansion of f in n 0.943 * [backup-simplify]: Simplify f into f 0.943 * [taylor]: Taking taylor expansion of n in n 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (+ 0 f) into f 0.943 * [backup-simplify]: Simplify (- 0) into 0 0.943 * [backup-simplify]: Simplify (+ f 0) into f 0.944 * [backup-simplify]: Simplify (/ f f) into 1 0.944 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.944 * [taylor]: Taking taylor expansion of -1 in f 0.944 * [backup-simplify]: Simplify -1 into -1 0.944 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.944 * [taylor]: Taking taylor expansion of (+ n f) in f 0.944 * [taylor]: Taking taylor expansion of n in f 0.944 * [backup-simplify]: Simplify n into n 0.944 * [taylor]: Taking taylor expansion of f in f 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.944 * [taylor]: Taking taylor expansion of (- f n) in f 0.944 * [taylor]: Taking taylor expansion of f in f 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.944 * [taylor]: Taking taylor expansion of n in f 0.944 * [backup-simplify]: Simplify n into n 0.944 * [backup-simplify]: Simplify (+ n 0) into n 0.944 * [backup-simplify]: Simplify (- n) into (- n) 0.944 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.944 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.944 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.944 * [taylor]: Taking taylor expansion of -1 in f 0.944 * [backup-simplify]: Simplify -1 into -1 0.944 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.944 * [taylor]: Taking taylor expansion of (+ n f) in f 0.944 * [taylor]: Taking taylor expansion of n in f 0.944 * [backup-simplify]: Simplify n into n 0.944 * [taylor]: Taking taylor expansion of f in f 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.944 * [taylor]: Taking taylor expansion of (- f n) in f 0.944 * [taylor]: Taking taylor expansion of f in f 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.944 * [taylor]: Taking taylor expansion of n in f 0.944 * [backup-simplify]: Simplify n into n 0.944 * [backup-simplify]: Simplify (+ n 0) into n 0.944 * [backup-simplify]: Simplify (- n) into (- n) 0.944 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.944 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.945 * [backup-simplify]: Simplify (* -1 -1) into 1 0.945 * [taylor]: Taking taylor expansion of 1 in n 0.945 * [backup-simplify]: Simplify 1 into 1 0.945 * [backup-simplify]: Simplify 1 into 1 0.945 * [backup-simplify]: Simplify (+ 0 1) into 1 0.945 * [backup-simplify]: Simplify (- 0) into 0 0.945 * [backup-simplify]: Simplify (+ 1 0) into 1 0.945 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.946 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.946 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.946 * [taylor]: Taking taylor expansion of 2 in n 0.946 * [backup-simplify]: Simplify 2 into 2 0.946 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.946 * [taylor]: Taking taylor expansion of n in n 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 1 into 1 0.946 * [backup-simplify]: Simplify (/ 1 1) into 1 0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify (+ 0 0) into 0 0.948 * [backup-simplify]: Simplify (- 0) into 0 0.948 * [backup-simplify]: Simplify (+ 0 0) into 0 0.948 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.949 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.949 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.949 * [taylor]: Taking taylor expansion of 2 in n 0.949 * [backup-simplify]: Simplify 2 into 2 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.949 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.949 * [taylor]: Taking taylor expansion of n in n 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (* 1 1) into 1 0.949 * [backup-simplify]: Simplify (/ 1 1) into 1 0.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.952 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.952 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify (+ 0 0) into 0 0.953 * [backup-simplify]: Simplify (- 0) into 0 0.953 * [backup-simplify]: Simplify (+ 0 0) into 0 0.954 * [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)))) 0.954 * [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))) 0.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.954 * [taylor]: Taking taylor expansion of 2 in n 0.954 * [backup-simplify]: Simplify 2 into 2 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.954 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.954 * [taylor]: Taking taylor expansion of n in n 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 1 into 1 0.954 * [backup-simplify]: Simplify (* 1 1) into 1 0.955 * [backup-simplify]: Simplify (* 1 1) into 1 0.955 * [backup-simplify]: Simplify (/ 1 1) into 1 0.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 1 into 1 0.960 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.960 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.960 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.960 * [taylor]: Taking taylor expansion of -1 in n 0.960 * [backup-simplify]: Simplify -1 into -1 0.960 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.960 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.960 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.960 * [taylor]: Taking taylor expansion of f in n 0.960 * [backup-simplify]: Simplify f into f 0.960 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.960 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.960 * [taylor]: Taking taylor expansion of n in n 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify (/ 1 1) into 1 0.961 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.961 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.961 * [taylor]: Taking taylor expansion of f in n 0.961 * [backup-simplify]: Simplify f into f 0.961 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.961 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.961 * [taylor]: Taking taylor expansion of n in n 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify (/ 1 1) into 1 0.961 * [backup-simplify]: Simplify (+ 0 1) into 1 0.961 * [backup-simplify]: Simplify (- 1) into -1 0.962 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.962 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.962 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.962 * [taylor]: Taking taylor expansion of -1 in f 0.962 * [backup-simplify]: Simplify -1 into -1 0.962 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.962 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.962 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.962 * [taylor]: Taking taylor expansion of f in f 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify (/ 1 1) into 1 0.962 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.962 * [taylor]: Taking taylor expansion of n in f 0.962 * [backup-simplify]: Simplify n into n 0.962 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.962 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.962 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.962 * [taylor]: Taking taylor expansion of f in f 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 1 into 1 0.963 * [backup-simplify]: Simplify (/ 1 1) into 1 0.963 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.963 * [taylor]: Taking taylor expansion of n in f 0.963 * [backup-simplify]: Simplify n into n 0.963 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.963 * [backup-simplify]: Simplify (+ 1 0) into 1 0.963 * [backup-simplify]: Simplify (+ 1 0) into 1 0.963 * [backup-simplify]: Simplify (/ 1 1) into 1 0.963 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.963 * [taylor]: Taking taylor expansion of -1 in f 0.963 * [backup-simplify]: Simplify -1 into -1 0.963 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.964 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.964 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.964 * [taylor]: Taking taylor expansion of f in f 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [backup-simplify]: Simplify (/ 1 1) into 1 0.964 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.964 * [taylor]: Taking taylor expansion of n in f 0.964 * [backup-simplify]: Simplify n into n 0.964 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.964 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.964 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.964 * [taylor]: Taking taylor expansion of f in f 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [backup-simplify]: Simplify (/ 1 1) into 1 0.964 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.964 * [taylor]: Taking taylor expansion of n in f 0.964 * [backup-simplify]: Simplify n into n 0.964 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.964 * [backup-simplify]: Simplify (+ 1 0) into 1 0.965 * [backup-simplify]: Simplify (+ 1 0) into 1 0.965 * [backup-simplify]: Simplify (/ 1 1) into 1 0.965 * [backup-simplify]: Simplify (* -1 1) into -1 0.965 * [taylor]: Taking taylor expansion of -1 in n 0.965 * [backup-simplify]: Simplify -1 into -1 0.965 * [backup-simplify]: Simplify -1 into -1 0.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.966 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.966 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.967 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.967 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.967 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.967 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.967 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.967 * [taylor]: Taking taylor expansion of 2 in n 0.967 * [backup-simplify]: Simplify 2 into 2 0.967 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.967 * [taylor]: Taking taylor expansion of n in n 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 1 into 1 0.967 * [backup-simplify]: Simplify (/ 1 1) into 1 0.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.968 * [backup-simplify]: Simplify (- 0) into 0 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.969 * [backup-simplify]: Simplify (+ 0 0) into 0 0.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.972 * [backup-simplify]: Simplify (- 0) into 0 0.972 * [backup-simplify]: Simplify (+ 0 0) into 0 0.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.973 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.973 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.974 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.974 * [taylor]: Taking taylor expansion of 2 in n 0.974 * [backup-simplify]: Simplify 2 into 2 0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.974 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.974 * [taylor]: Taking taylor expansion of n in n 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 1 into 1 0.974 * [backup-simplify]: Simplify (* 1 1) into 1 0.974 * [backup-simplify]: Simplify (/ 1 1) into 1 0.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.976 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.976 * [backup-simplify]: Simplify (- 0) into 0 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.978 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.978 * [backup-simplify]: Simplify (- 0) into 0 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.979 * [backup-simplify]: Simplify (+ 0 0) into 0 0.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.979 * [backup-simplify]: Simplify (- 0) into 0 0.980 * [backup-simplify]: Simplify (+ 0 0) into 0 0.981 * [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))) 0.981 * [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)))) 0.981 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.981 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.981 * [taylor]: Taking taylor expansion of 2 in n 0.981 * [backup-simplify]: Simplify 2 into 2 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.981 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.981 * [taylor]: Taking taylor expansion of n in n 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (* 1 1) into 1 0.982 * [backup-simplify]: Simplify (* 1 1) into 1 0.982 * [backup-simplify]: Simplify (/ 1 1) into 1 0.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (- 0) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify -1 into -1 0.988 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.988 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.988 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.988 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.988 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.988 * [taylor]: Taking taylor expansion of f in n 0.988 * [backup-simplify]: Simplify f into f 0.988 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.988 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.988 * [taylor]: Taking taylor expansion of n in n 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 1 into 1 0.988 * [backup-simplify]: Simplify (/ 1 1) into 1 0.988 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.988 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.988 * [taylor]: Taking taylor expansion of n in n 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 1 into 1 0.988 * [backup-simplify]: Simplify (/ 1 1) into 1 0.988 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.988 * [taylor]: Taking taylor expansion of f in n 0.988 * [backup-simplify]: Simplify f into f 0.988 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.989 * [backup-simplify]: Simplify (+ 0 1) into 1 0.989 * [backup-simplify]: Simplify (+ 1 0) into 1 0.989 * [backup-simplify]: Simplify (/ 1 1) into 1 0.989 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.989 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.989 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.989 * [taylor]: Taking taylor expansion of f in f 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify (/ 1 1) into 1 0.989 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.989 * [taylor]: Taking taylor expansion of n in f 0.989 * [backup-simplify]: Simplify n into n 0.990 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.990 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.990 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.990 * [taylor]: Taking taylor expansion of n in f 0.990 * [backup-simplify]: Simplify n into n 0.990 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.990 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.990 * [taylor]: Taking taylor expansion of f in f 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 1 into 1 0.990 * [backup-simplify]: Simplify (/ 1 1) into 1 0.990 * [backup-simplify]: Simplify (+ 1 0) into 1 0.990 * [backup-simplify]: Simplify (- 1) into -1 0.991 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.991 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.991 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.991 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.991 * [taylor]: Taking taylor expansion of f in f 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify 1 into 1 0.991 * [backup-simplify]: Simplify (/ 1 1) into 1 0.991 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.991 * [taylor]: Taking taylor expansion of n in f 0.991 * [backup-simplify]: Simplify n into n 0.991 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.991 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.991 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.991 * [taylor]: Taking taylor expansion of n in f 0.991 * [backup-simplify]: Simplify n into n 0.991 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.991 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.991 * [taylor]: Taking taylor expansion of f in f 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify 1 into 1 0.992 * [backup-simplify]: Simplify (/ 1 1) into 1 0.992 * [backup-simplify]: Simplify (+ 1 0) into 1 0.992 * [backup-simplify]: Simplify (- 1) into -1 0.992 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.993 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.993 * [taylor]: Taking taylor expansion of -1 in n 0.993 * [backup-simplify]: Simplify -1 into -1 0.993 * [backup-simplify]: Simplify -1 into -1 0.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.993 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.994 * [backup-simplify]: Simplify (- 0) into 0 0.994 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.994 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.994 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.994 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.994 * [taylor]: Taking taylor expansion of 2 in n 0.994 * [backup-simplify]: Simplify 2 into 2 0.994 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.994 * [taylor]: Taking taylor expansion of n in n 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify 1 into 1 0.994 * [backup-simplify]: Simplify (/ 1 1) into 1 0.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.995 * [backup-simplify]: Simplify (- 0) into 0 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.996 * [backup-simplify]: Simplify (+ 0 0) into 0 0.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.997 * [backup-simplify]: Simplify (- 0) into 0 0.997 * [backup-simplify]: Simplify (+ 0 0) into 0 0.998 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.998 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.998 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.998 * [taylor]: Taking taylor expansion of 2 in n 0.998 * [backup-simplify]: Simplify 2 into 2 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.998 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.998 * [taylor]: Taking taylor expansion of n in n 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 1 into 1 0.998 * [backup-simplify]: Simplify (* 1 1) into 1 0.998 * [backup-simplify]: Simplify (/ 1 1) into 1 0.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.000 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.001 * [backup-simplify]: Simplify (- 0) into 0 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.002 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.002 * [backup-simplify]: Simplify (- 0) into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.003 * [backup-simplify]: Simplify (+ 0 0) into 0 1.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.004 * [backup-simplify]: Simplify (- 0) into 0 1.004 * [backup-simplify]: Simplify (+ 0 0) into 0 1.005 * [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)))) 1.005 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.005 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.005 * [taylor]: Taking taylor expansion of 2 in n 1.005 * [backup-simplify]: Simplify 2 into 2 1.005 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.005 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.005 * [taylor]: Taking taylor expansion of n in n 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (* 1 1) into 1 1.005 * [backup-simplify]: Simplify (* 1 1) into 1 1.006 * [backup-simplify]: Simplify (/ 1 1) into 1 1.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.010 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.010 * [backup-simplify]: Simplify (- 0) into 0 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify -1 into -1 1.011 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.011 * [backup-simplify]: Simplify (exp (/ (- (+ f n)) (- f n))) into (exp (* -1 (/ (+ n f) (- f n)))) 1.011 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 1.011 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 1.011 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.011 * [taylor]: Taking taylor expansion of -1 in n 1.011 * [backup-simplify]: Simplify -1 into -1 1.011 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.011 * [taylor]: Taking taylor expansion of (+ n f) in n 1.011 * [taylor]: Taking taylor expansion of n in n 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 1 into 1 1.011 * [taylor]: Taking taylor expansion of f in n 1.011 * [backup-simplify]: Simplify f into f 1.011 * [taylor]: Taking taylor expansion of (- f n) in n 1.011 * [taylor]: Taking taylor expansion of f in n 1.011 * [backup-simplify]: Simplify f into f 1.011 * [taylor]: Taking taylor expansion of n in n 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 1 into 1 1.011 * [backup-simplify]: Simplify (+ 0 f) into f 1.011 * [backup-simplify]: Simplify (- 0) into 0 1.011 * [backup-simplify]: Simplify (+ f 0) into f 1.011 * [backup-simplify]: Simplify (/ f f) into 1 1.012 * [backup-simplify]: Simplify (* -1 1) into -1 1.012 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.012 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.012 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.012 * [taylor]: Taking taylor expansion of -1 in f 1.012 * [backup-simplify]: Simplify -1 into -1 1.012 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.012 * [taylor]: Taking taylor expansion of (+ n f) in f 1.012 * [taylor]: Taking taylor expansion of n in f 1.012 * [backup-simplify]: Simplify n into n 1.012 * [taylor]: Taking taylor expansion of f in f 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 1 into 1 1.012 * [taylor]: Taking taylor expansion of (- f n) in f 1.012 * [taylor]: Taking taylor expansion of f in f 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 1 into 1 1.012 * [taylor]: Taking taylor expansion of n in f 1.012 * [backup-simplify]: Simplify n into n 1.012 * [backup-simplify]: Simplify (+ n 0) into n 1.012 * [backup-simplify]: Simplify (- n) into (- n) 1.012 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.012 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.013 * [backup-simplify]: Simplify (* -1 -1) into 1 1.013 * [backup-simplify]: Simplify (exp 1) into E 1.013 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.013 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.013 * [taylor]: Taking taylor expansion of -1 in f 1.013 * [backup-simplify]: Simplify -1 into -1 1.013 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.013 * [taylor]: Taking taylor expansion of (+ n f) in f 1.013 * [taylor]: Taking taylor expansion of n in f 1.013 * [backup-simplify]: Simplify n into n 1.013 * [taylor]: Taking taylor expansion of f in f 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 1 into 1 1.013 * [taylor]: Taking taylor expansion of (- f n) in f 1.013 * [taylor]: Taking taylor expansion of f in f 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 1 into 1 1.013 * [taylor]: Taking taylor expansion of n in f 1.013 * [backup-simplify]: Simplify n into n 1.013 * [backup-simplify]: Simplify (+ n 0) into n 1.013 * [backup-simplify]: Simplify (- n) into (- n) 1.013 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.013 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.013 * [backup-simplify]: Simplify (* -1 -1) into 1 1.013 * [backup-simplify]: Simplify (exp 1) into E 1.013 * [taylor]: Taking taylor expansion of E in n 1.013 * [backup-simplify]: Simplify E into E 1.013 * [backup-simplify]: Simplify E into E 1.014 * [backup-simplify]: Simplify (+ 0 1) into 1 1.014 * [backup-simplify]: Simplify (- 0) into 0 1.014 * [backup-simplify]: Simplify (+ 1 0) into 1 1.015 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.015 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.015 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 1.015 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 1.015 * [taylor]: Taking taylor expansion of 2 in n 1.015 * [backup-simplify]: Simplify 2 into 2 1.015 * [taylor]: Taking taylor expansion of (/ E n) in n 1.015 * [taylor]: Taking taylor expansion of E in n 1.015 * [backup-simplify]: Simplify E into E 1.015 * [taylor]: Taking taylor expansion of n in n 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 1 into 1 1.016 * [backup-simplify]: Simplify (/ E 1) into E 1.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.017 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify (+ 0 0) into 0 1.017 * [backup-simplify]: Simplify (- 0) into 0 1.017 * [backup-simplify]: Simplify (+ 0 0) into 0 1.018 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.018 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.018 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 1.018 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 1.018 * [taylor]: Taking taylor expansion of 4 in n 1.018 * [backup-simplify]: Simplify 4 into 4 1.018 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 1.018 * [taylor]: Taking taylor expansion of E in n 1.018 * [backup-simplify]: Simplify E into E 1.018 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.018 * [taylor]: Taking taylor expansion of n in n 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.019 * [backup-simplify]: Simplify (* 1 1) into 1 1.019 * [backup-simplify]: Simplify (/ E 1) into E 1.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.021 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 1.021 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.023 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify (+ 0 0) into 0 1.023 * [backup-simplify]: Simplify (- 0) into 0 1.023 * [backup-simplify]: Simplify (+ 0 0) into 0 1.024 * [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)))) 1.024 * [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))) 1.025 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 1.025 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 1.025 * [taylor]: Taking taylor expansion of 22/3 in n 1.025 * [backup-simplify]: Simplify 22/3 into 22/3 1.025 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 1.025 * [taylor]: Taking taylor expansion of E in n 1.025 * [backup-simplify]: Simplify E into E 1.025 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.025 * [taylor]: Taking taylor expansion of n in n 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 1 into 1 1.025 * [backup-simplify]: Simplify (* 1 1) into 1 1.026 * [backup-simplify]: Simplify (* 1 1) into 1 1.026 * [backup-simplify]: Simplify (/ E 1) into E 1.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.031 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify E into E 1.031 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1.031 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 1.031 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.031 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.031 * [taylor]: Taking taylor expansion of -1 in n 1.031 * [backup-simplify]: Simplify -1 into -1 1.031 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.031 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.031 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.031 * [taylor]: Taking taylor expansion of f in n 1.031 * [backup-simplify]: Simplify f into f 1.031 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.031 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.031 * [taylor]: Taking taylor expansion of n in n 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.032 * [backup-simplify]: Simplify (/ 1 1) into 1 1.032 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.032 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.032 * [taylor]: Taking taylor expansion of f in n 1.032 * [backup-simplify]: Simplify f into f 1.032 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.032 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.032 * [taylor]: Taking taylor expansion of n in n 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 1 into 1 1.032 * [backup-simplify]: Simplify (/ 1 1) into 1 1.032 * [backup-simplify]: Simplify (+ 0 1) into 1 1.032 * [backup-simplify]: Simplify (- 1) into -1 1.033 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.033 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.033 * [backup-simplify]: Simplify (* -1 -1) into 1 1.033 * [backup-simplify]: Simplify (exp 1) into E 1.033 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.033 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.033 * [taylor]: Taking taylor expansion of -1 in f 1.033 * [backup-simplify]: Simplify -1 into -1 1.033 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.033 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.033 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.033 * [taylor]: Taking taylor expansion of f in f 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (/ 1 1) into 1 1.034 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.034 * [taylor]: Taking taylor expansion of n in f 1.034 * [backup-simplify]: Simplify n into n 1.034 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.034 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.034 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.034 * [taylor]: Taking taylor expansion of f in f 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 1 into 1 1.034 * [backup-simplify]: Simplify (/ 1 1) into 1 1.034 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.034 * [taylor]: Taking taylor expansion of n in f 1.034 * [backup-simplify]: Simplify n into n 1.034 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.034 * [backup-simplify]: Simplify (+ 1 0) into 1 1.034 * [backup-simplify]: Simplify (+ 1 0) into 1 1.035 * [backup-simplify]: Simplify (/ 1 1) into 1 1.035 * [backup-simplify]: Simplify (* -1 1) into -1 1.035 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.035 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.035 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.035 * [taylor]: Taking taylor expansion of -1 in f 1.035 * [backup-simplify]: Simplify -1 into -1 1.035 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.035 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.035 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.035 * [taylor]: Taking taylor expansion of f in f 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify 1 into 1 1.036 * [backup-simplify]: Simplify (/ 1 1) into 1 1.036 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.036 * [taylor]: Taking taylor expansion of n in f 1.036 * [backup-simplify]: Simplify n into n 1.036 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.036 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.036 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.036 * [taylor]: Taking taylor expansion of f in f 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 1 into 1 1.036 * [backup-simplify]: Simplify (/ 1 1) into 1 1.036 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.036 * [taylor]: Taking taylor expansion of n in f 1.036 * [backup-simplify]: Simplify n into n 1.036 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.037 * [backup-simplify]: Simplify (+ 1 0) into 1 1.037 * [backup-simplify]: Simplify (+ 1 0) into 1 1.037 * [backup-simplify]: Simplify (/ 1 1) into 1 1.037 * [backup-simplify]: Simplify (* -1 1) into -1 1.038 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.038 * [taylor]: Taking taylor expansion of (exp -1) in n 1.038 * [taylor]: Taking taylor expansion of -1 in n 1.038 * [backup-simplify]: Simplify -1 into -1 1.038 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.038 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.039 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.039 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.040 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.040 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 1.040 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 1.040 * [taylor]: Taking taylor expansion of -2 in n 1.040 * [backup-simplify]: Simplify -2 into -2 1.040 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 1.040 * [taylor]: Taking taylor expansion of (exp -1) in n 1.040 * [taylor]: Taking taylor expansion of -1 in n 1.040 * [backup-simplify]: Simplify -1 into -1 1.040 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.040 * [taylor]: Taking taylor expansion of n in n 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 1 into 1 1.041 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 1.042 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 1.043 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.044 * [backup-simplify]: Simplify (+ 0 0) into 0 1.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.045 * [backup-simplify]: Simplify (- 0) into 0 1.045 * [backup-simplify]: Simplify (+ 0 0) into 0 1.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.046 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.047 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 1.047 * [taylor]: Taking taylor expansion of 0 in n 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.049 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 1.049 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.051 * [backup-simplify]: Simplify (+ 0 0) into 0 1.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.051 * [backup-simplify]: Simplify (- 0) into 0 1.052 * [backup-simplify]: Simplify (+ 0 0) into 0 1.053 * [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))) 1.053 * [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)))) 1.054 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 1.054 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 1.054 * [taylor]: Taking taylor expansion of 2/3 in n 1.054 * [backup-simplify]: Simplify 2/3 into 2/3 1.054 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 1.054 * [taylor]: Taking taylor expansion of (exp -1) in n 1.054 * [taylor]: Taking taylor expansion of -1 in n 1.054 * [backup-simplify]: Simplify -1 into -1 1.054 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.054 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.054 * [taylor]: Taking taylor expansion of n in n 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 1 into 1 1.055 * [backup-simplify]: Simplify (* 1 1) into 1 1.055 * [backup-simplify]: Simplify (* 1 1) into 1 1.055 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 1.056 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.059 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 1.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.064 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.066 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.066 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1.066 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 1.066 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.066 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.066 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.066 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.066 * [taylor]: Taking taylor expansion of f in n 1.067 * [backup-simplify]: Simplify f into f 1.067 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.067 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.067 * [taylor]: Taking taylor expansion of n in n 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 1 into 1 1.067 * [backup-simplify]: Simplify (/ 1 1) into 1 1.067 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.067 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.067 * [taylor]: Taking taylor expansion of n in n 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 1 into 1 1.067 * [backup-simplify]: Simplify (/ 1 1) into 1 1.067 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.067 * [taylor]: Taking taylor expansion of f in n 1.067 * [backup-simplify]: Simplify f into f 1.067 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.067 * [backup-simplify]: Simplify (+ 0 1) into 1 1.068 * [backup-simplify]: Simplify (+ 1 0) into 1 1.068 * [backup-simplify]: Simplify (/ 1 1) into 1 1.068 * [backup-simplify]: Simplify (exp 1) into E 1.068 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.068 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.068 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.068 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.068 * [taylor]: Taking taylor expansion of f in f 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (/ 1 1) into 1 1.068 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.068 * [taylor]: Taking taylor expansion of n in f 1.068 * [backup-simplify]: Simplify n into n 1.068 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.068 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.068 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.068 * [taylor]: Taking taylor expansion of n in f 1.068 * [backup-simplify]: Simplify n into n 1.068 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.069 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.069 * [taylor]: Taking taylor expansion of f in f 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify 1 into 1 1.069 * [backup-simplify]: Simplify (/ 1 1) into 1 1.069 * [backup-simplify]: Simplify (+ 1 0) into 1 1.069 * [backup-simplify]: Simplify (- 1) into -1 1.069 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.070 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.070 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.070 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.070 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.070 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.070 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.070 * [taylor]: Taking taylor expansion of f in f 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [backup-simplify]: Simplify (/ 1 1) into 1 1.070 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.070 * [taylor]: Taking taylor expansion of n in f 1.070 * [backup-simplify]: Simplify n into n 1.070 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.070 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.070 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.070 * [taylor]: Taking taylor expansion of n in f 1.070 * [backup-simplify]: Simplify n into n 1.070 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.070 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.070 * [taylor]: Taking taylor expansion of f in f 1.070 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 1 into 1 1.071 * [backup-simplify]: Simplify (/ 1 1) into 1 1.071 * [backup-simplify]: Simplify (+ 1 0) into 1 1.071 * [backup-simplify]: Simplify (- 1) into -1 1.071 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.072 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.072 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.072 * [taylor]: Taking taylor expansion of (exp -1) in n 1.072 * [taylor]: Taking taylor expansion of -1 in n 1.072 * [backup-simplify]: Simplify -1 into -1 1.072 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.072 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.073 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.074 * [backup-simplify]: Simplify (- 0) into 0 1.074 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.074 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.074 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 1.074 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 1.074 * [taylor]: Taking taylor expansion of -2 in n 1.074 * [backup-simplify]: Simplify -2 into -2 1.074 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 1.074 * [taylor]: Taking taylor expansion of (exp -1) in n 1.074 * [taylor]: Taking taylor expansion of -1 in n 1.074 * [backup-simplify]: Simplify -1 into -1 1.075 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.075 * [taylor]: Taking taylor expansion of n in n 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 1.076 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.077 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.078 * [backup-simplify]: Simplify (+ 0 0) into 0 1.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.079 * [backup-simplify]: Simplify (- 0) into 0 1.079 * [backup-simplify]: Simplify (+ 0 0) into 0 1.080 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.080 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 1.080 * [taylor]: Taking taylor expansion of 0 in n 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.083 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 1.083 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.084 * [backup-simplify]: Simplify (+ 0 0) into 0 1.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.085 * [backup-simplify]: Simplify (- 0) into 0 1.085 * [backup-simplify]: Simplify (+ 0 0) into 0 1.086 * [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)))) 1.088 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 1.088 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 1.088 * [taylor]: Taking taylor expansion of 2/3 in n 1.088 * [backup-simplify]: Simplify 2/3 into 2/3 1.088 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 1.088 * [taylor]: Taking taylor expansion of (exp -1) in n 1.088 * [taylor]: Taking taylor expansion of -1 in n 1.088 * [backup-simplify]: Simplify -1 into -1 1.088 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.088 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.088 * [taylor]: Taking taylor expansion of n in n 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify 1 into 1 1.088 * [backup-simplify]: Simplify (* 1 1) into 1 1.089 * [backup-simplify]: Simplify (* 1 1) into 1 1.089 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 1.090 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.093 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 1.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.095 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.097 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.097 * * * [progress]: simplifying candidates 1.101 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ 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)) (expm1 (log (exp (/ (- (+ f n)) (- f n))))) (log1p (log (exp (/ (- (+ f n)) (- f n))))) (log (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n)))))) (log (cbrt (exp (/ (- (+ f n)) (- f n))))) (log (sqrt (exp (/ (- (+ f n)) (- f n))))) (log (sqrt (exp (/ (- (+ f n)) (- f n))))) (log 1) (log (exp (/ (- (+ f n)) (- f n)))) (log 1) (log (exp (/ (+ f n) (- f n)))) (log (exp (/ 0 (- f n)))) (log (exp (/ (+ f n) (- f n)))) (log (exp (/ (+ f n) (- f n)))) (log (exp (/ (- (+ f n)) (- f n)))) (log (exp (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))))) (log (exp (sqrt (/ (- (+ f n)) (- f n))))) (log (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))))) (log (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1))) (log (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1))) (log (exp (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (sqrt (- (+ f n))) (sqrt (- f n))))) (log (exp (/ (sqrt (- (+ f n))) 1))) (log (exp (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (sqrt (- (+ f n))) 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ -1 (sqrt (- f n))))) (log (exp (/ -1 1))) (log (exp (/ -1 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h1)) (cbrt (+ h0 h1)))) (sqrt (- h0 h1)))) (exp (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) 1)) (exp (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (+ (sqrt h0) (sqrt h1)))) (exp (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) 1)) (exp (/ (- (sqrt (+ h0 h1))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1))))) (exp (/ (- (sqrt (+ h0 h1))) (sqrt (- h0 h1)))) (exp (/ (- (sqrt (+ h0 h1))) 1)) (exp (/ (- (sqrt (+ h0 h1))) (+ (sqrt h0) (sqrt h1)))) (exp (/ (- (sqrt (+ h0 h1))) 1)) (exp (/ (- 1) (* (cbrt (- h0 h1)) (cbrt (- h0 h1))))) (exp (/ (- 1) (sqrt (- h0 h1)))) (exp (/ (- 1) 1)) (exp (/ (- 1) (+ (sqrt h0) (sqrt h1)))) (exp (/ (- 1) 1)) (exp (/ (- 1) (* (cbrt (- h0 h1)) (cbrt (- h0 h1))))) (exp (/ (- 1) (sqrt (- h0 h1)))) (exp (/ (- 1) 1)) (exp (/ (- 1) (+ (sqrt h0) (sqrt h1)))) (exp (/ (- 1) 1)) (exp (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1))))) (exp (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt (- h0 h1)))) (exp (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (exp (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (+ (sqrt h0) (sqrt h1)))) (exp (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (exp (/ (sqrt (+ h0 h1)) (* (cbrt (- h0 h1)) (cbrt (- h0 h1))))) (exp (/ (sqrt (+ h0 h1)) (sqrt (- h0 h1)))) (exp (/ (sqrt (+ h0 h1)) 1)) (exp (/ (sqrt (+ h0 h1)) (+ (sqrt h0) (sqrt h1)))) (exp (/ (sqrt (+ h0 h1)) 1)) (exp (/ 1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1))))) (exp (/ 1 (sqrt (- h0 h1)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt h0) (sqrt h1)))) (exp (/ 1 1)) (exp (/ 1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1))))) (exp (/ 1 (sqrt (- h0 h1)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt h0) (sqrt h1)))) (exp (/ 1 1)) (exp 1) (exp (- (+ h0 h1))) (exp (/ (- (+ h0 h1)) (- (pow h0 3) (pow h1 3)))) (exp (/ (- (+ h0 h1)) (- (* h0 h0) (* h1 h1)))) (exp (/ (+ h0 h1) (- h0 h1))) (exp (/ 0 (- h0 h1))) (exp (/ (+ h0 h1) (- h0 h1))) (log (exp (/ (- (+ h0 h1)) (- h0 h1)))) (exp (exp (/ (- (+ h0 h1)) (- h0 h1)))) (* (cbrt (exp (/ (- (+ h0 h1)) (- h0 h1)))) (cbrt (exp (/ (- (+ h0 h1)) (- h0 h1))))) (cbrt (exp (/ (- (+ h0 h1)) (- h0 h1)))) (* (* (exp (/ (- (+ h0 h1)) (- h0 h1))) (exp (/ (- (+ h0 h1)) (- h0 h1)))) (exp (/ (- (+ h0 h1)) (- h0 h1)))) (sqrt (exp (/ (- (+ h0 h1)) (- h0 h1)))) (sqrt (exp (/ (- (+ h0 h1)) (- h0 h1)))) 1 -1 -1 1 -1 -1 h2 (exp -1) (exp -1) 1.109 * * [simplify]: iteration 0 : 415 enodes (cost 1692 ) 1.114 * * [simplify]: iteration 1 : 1129 enodes (cost 1633 ) 1.130 * * [simplify]: iteration 2 : 3654 enodes (cost 1596 ) 1.173 * * [simplify]: iteration 3 : 5003 enodes (cost 1593 ) 1.181 * * * [progress]: adding candidates to table 1.619 * * [progress]: iteration 3 / 4 1.619 * * * [progress]: picking best candidate 1.627 * * * * [pick]: Picked # 1.627 * * * [progress]: localizing error 1.637 * * * [progress]: generating rewritten candidates 1.637 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.660 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.723 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.758 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.837 * * * [progress]: generating series expansions 1.837 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.837 * [backup-simplify]: Simplify (/ (+ f n) (- f n)) into (/ (+ n f) (- f n)) 1.837 * [approximate]: Taking taylor expansion of (/ (+ n f) (- f n)) in (f n) around 0 1.837 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.837 * [taylor]: Taking taylor expansion of (+ n f) in n 1.837 * [taylor]: Taking taylor expansion of n in n 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [taylor]: Taking taylor expansion of f in n 1.838 * [backup-simplify]: Simplify f into f 1.838 * [taylor]: Taking taylor expansion of (- f n) in n 1.838 * [taylor]: Taking taylor expansion of f in n 1.838 * [backup-simplify]: Simplify f into f 1.838 * [taylor]: Taking taylor expansion of n in n 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [backup-simplify]: Simplify (+ 0 f) into f 1.838 * [backup-simplify]: Simplify (- 0) into 0 1.838 * [backup-simplify]: Simplify (+ f 0) into f 1.838 * [backup-simplify]: Simplify (/ f f) into 1 1.838 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.838 * [taylor]: Taking taylor expansion of (+ n f) in f 1.838 * [taylor]: Taking taylor expansion of n in f 1.838 * [backup-simplify]: Simplify n into n 1.838 * [taylor]: Taking taylor expansion of f in f 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [taylor]: Taking taylor expansion of (- f n) in f 1.838 * [taylor]: Taking taylor expansion of f in f 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [taylor]: Taking taylor expansion of n in f 1.838 * [backup-simplify]: Simplify n into n 1.838 * [backup-simplify]: Simplify (+ n 0) into n 1.838 * [backup-simplify]: Simplify (- n) into (- n) 1.838 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.838 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.838 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.839 * [taylor]: Taking taylor expansion of (+ n f) in f 1.839 * [taylor]: Taking taylor expansion of n in f 1.839 * [backup-simplify]: Simplify n into n 1.839 * [taylor]: Taking taylor expansion of f in f 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [taylor]: Taking taylor expansion of (- f n) in f 1.839 * [taylor]: Taking taylor expansion of f in f 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [taylor]: Taking taylor expansion of n in f 1.839 * [backup-simplify]: Simplify n into n 1.839 * [backup-simplify]: Simplify (+ n 0) into n 1.839 * [backup-simplify]: Simplify (- n) into (- n) 1.839 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.839 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.839 * [taylor]: Taking taylor expansion of -1 in n 1.839 * [backup-simplify]: Simplify -1 into -1 1.839 * [backup-simplify]: Simplify -1 into -1 1.839 * [backup-simplify]: Simplify (+ 0 1) into 1 1.839 * [backup-simplify]: Simplify (- 0) into 0 1.840 * [backup-simplify]: Simplify (+ 1 0) into 1 1.840 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.840 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.840 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.840 * [taylor]: Taking taylor expansion of 2 in n 1.840 * [backup-simplify]: Simplify 2 into 2 1.840 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.840 * [taylor]: Taking taylor expansion of n in n 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [backup-simplify]: Simplify (/ 1 1) into 1 1.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.841 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.841 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify (+ 0 0) into 0 1.842 * [backup-simplify]: Simplify (- 0) into 0 1.842 * [backup-simplify]: Simplify (+ 0 0) into 0 1.842 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.842 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.842 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.842 * [taylor]: Taking taylor expansion of 2 in n 1.842 * [backup-simplify]: Simplify 2 into 2 1.842 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.842 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.842 * [taylor]: Taking taylor expansion of n in n 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [backup-simplify]: Simplify (* 1 1) into 1 1.843 * [backup-simplify]: Simplify (/ 1 1) into 1 1.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.845 * [backup-simplify]: Simplify (- 0) into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.846 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.846 * [backup-simplify]: Simplify (- 0) into 0 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify (+ 0 0) into 0 1.847 * [backup-simplify]: Simplify (- 0) into 0 1.847 * [backup-simplify]: Simplify (+ 0 0) into 0 1.847 * [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)))) 1.847 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.847 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.847 * [taylor]: Taking taylor expansion of 2 in n 1.847 * [backup-simplify]: Simplify 2 into 2 1.848 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.848 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.848 * [taylor]: Taking taylor expansion of n in n 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 1 into 1 1.848 * [backup-simplify]: Simplify (* 1 1) into 1 1.848 * [backup-simplify]: Simplify (* 1 1) into 1 1.848 * [backup-simplify]: Simplify (/ 1 1) into 1 1.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.853 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.853 * [backup-simplify]: Simplify (- 0) into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify -1 into -1 1.853 * [backup-simplify]: Simplify (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1.853 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in (f n) around 0 1.853 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.853 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.853 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.853 * [taylor]: Taking taylor expansion of f in n 1.853 * [backup-simplify]: Simplify f into f 1.853 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.853 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.854 * [taylor]: Taking taylor expansion of n in n 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [backup-simplify]: Simplify (/ 1 1) into 1 1.854 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.854 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.854 * [taylor]: Taking taylor expansion of f in n 1.854 * [backup-simplify]: Simplify f into f 1.854 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.854 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.854 * [taylor]: Taking taylor expansion of n in n 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [backup-simplify]: Simplify (/ 1 1) into 1 1.854 * [backup-simplify]: Simplify (+ 0 1) into 1 1.855 * [backup-simplify]: Simplify (- 1) into -1 1.855 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.855 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.855 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.855 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.855 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.855 * [taylor]: Taking taylor expansion of f in f 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [backup-simplify]: Simplify (/ 1 1) into 1 1.856 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.856 * [taylor]: Taking taylor expansion of n in f 1.856 * [backup-simplify]: Simplify n into n 1.856 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.856 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.856 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.856 * [taylor]: Taking taylor expansion of f in f 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (/ 1 1) into 1 1.856 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.856 * [taylor]: Taking taylor expansion of n in f 1.856 * [backup-simplify]: Simplify n into n 1.856 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.856 * [backup-simplify]: Simplify (+ 1 0) into 1 1.856 * [backup-simplify]: Simplify (+ 1 0) into 1 1.857 * [backup-simplify]: Simplify (/ 1 1) into 1 1.857 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.857 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.857 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.857 * [taylor]: Taking taylor expansion of f in f 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (/ 1 1) into 1 1.857 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.857 * [taylor]: Taking taylor expansion of n in f 1.857 * [backup-simplify]: Simplify n into n 1.857 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.857 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.857 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.857 * [taylor]: Taking taylor expansion of f in f 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (/ 1 1) into 1 1.857 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.857 * [taylor]: Taking taylor expansion of n in f 1.857 * [backup-simplify]: Simplify n into n 1.857 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.858 * [backup-simplify]: Simplify (+ 1 0) into 1 1.858 * [backup-simplify]: Simplify (+ 1 0) into 1 1.858 * [backup-simplify]: Simplify (/ 1 1) into 1 1.858 * [taylor]: Taking taylor expansion of 1 in n 1.858 * [backup-simplify]: Simplify 1 into 1 1.858 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.859 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.859 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.859 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.859 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.859 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.859 * [taylor]: Taking taylor expansion of 2 in n 1.859 * [backup-simplify]: Simplify 2 into 2 1.859 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.859 * [taylor]: Taking taylor expansion of n in n 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 1 into 1 1.860 * [backup-simplify]: Simplify (/ 1 1) into 1 1.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.860 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.862 * [backup-simplify]: Simplify (- 0) into 0 1.862 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.863 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.863 * [taylor]: Taking taylor expansion of 2 in n 1.863 * [backup-simplify]: Simplify 2 into 2 1.863 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.863 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.863 * [taylor]: Taking taylor expansion of n in n 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 1 into 1 1.863 * [backup-simplify]: Simplify (* 1 1) into 1 1.863 * [backup-simplify]: Simplify (/ 1 1) into 1 1.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.866 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.867 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.868 * [backup-simplify]: Simplify (+ 0 0) into 0 1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.869 * [backup-simplify]: Simplify (- 0) into 0 1.869 * [backup-simplify]: Simplify (+ 0 0) into 0 1.870 * [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))) 1.870 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.870 * [taylor]: Taking taylor expansion of 2 in n 1.870 * [backup-simplify]: Simplify 2 into 2 1.870 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.870 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.870 * [taylor]: Taking taylor expansion of n in n 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 1 into 1 1.870 * [backup-simplify]: Simplify (* 1 1) into 1 1.870 * [backup-simplify]: Simplify (* 1 1) into 1 1.871 * [backup-simplify]: Simplify (/ 1 1) into 1 1.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [backup-simplify]: Simplify (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1.875 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 1.875 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.875 * [taylor]: Taking taylor expansion of -1 in n 1.876 * [backup-simplify]: Simplify -1 into -1 1.876 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.876 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.876 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.876 * [taylor]: Taking taylor expansion of f in n 1.876 * [backup-simplify]: Simplify f into f 1.876 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.876 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.876 * [taylor]: Taking taylor expansion of n in n 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [backup-simplify]: Simplify (/ 1 1) into 1 1.876 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.876 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.876 * [taylor]: Taking taylor expansion of n in n 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [backup-simplify]: Simplify (/ 1 1) into 1 1.876 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.876 * [taylor]: Taking taylor expansion of f in n 1.876 * [backup-simplify]: Simplify f into f 1.876 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.877 * [backup-simplify]: Simplify (+ 0 1) into 1 1.877 * [backup-simplify]: Simplify (+ 1 0) into 1 1.877 * [backup-simplify]: Simplify (/ 1 1) into 1 1.877 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.877 * [taylor]: Taking taylor expansion of -1 in f 1.877 * [backup-simplify]: Simplify -1 into -1 1.877 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.877 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.877 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.877 * [taylor]: Taking taylor expansion of f in f 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.878 * [backup-simplify]: Simplify (/ 1 1) into 1 1.878 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.878 * [taylor]: Taking taylor expansion of n in f 1.878 * [backup-simplify]: Simplify n into n 1.878 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.878 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.878 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.878 * [taylor]: Taking taylor expansion of n in f 1.878 * [backup-simplify]: Simplify n into n 1.878 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.878 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.878 * [taylor]: Taking taylor expansion of f in f 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.878 * [backup-simplify]: Simplify (/ 1 1) into 1 1.878 * [backup-simplify]: Simplify (+ 1 0) into 1 1.879 * [backup-simplify]: Simplify (- 1) into -1 1.879 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.879 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.879 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.879 * [taylor]: Taking taylor expansion of -1 in f 1.879 * [backup-simplify]: Simplify -1 into -1 1.879 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.879 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.879 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.879 * [taylor]: Taking taylor expansion of f in f 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (/ 1 1) into 1 1.883 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.883 * [taylor]: Taking taylor expansion of n in f 1.883 * [backup-simplify]: Simplify n into n 1.883 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.883 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.883 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.883 * [taylor]: Taking taylor expansion of n in f 1.883 * [backup-simplify]: Simplify n into n 1.883 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.883 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.883 * [taylor]: Taking taylor expansion of f in f 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (/ 1 1) into 1 1.884 * [backup-simplify]: Simplify (+ 1 0) into 1 1.884 * [backup-simplify]: Simplify (- 1) into -1 1.884 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.884 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.885 * [backup-simplify]: Simplify (* -1 -1) into 1 1.885 * [taylor]: Taking taylor expansion of 1 in n 1.885 * [backup-simplify]: Simplify 1 into 1 1.885 * [backup-simplify]: Simplify 1 into 1 1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.885 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (- 0) into 0 1.886 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.886 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.886 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.886 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.886 * [taylor]: Taking taylor expansion of 2 in n 1.886 * [backup-simplify]: Simplify 2 into 2 1.886 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.886 * [taylor]: Taking taylor expansion of n in n 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (/ 1 1) into 1 1.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.887 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.888 * [backup-simplify]: Simplify (+ 0 0) into 0 1.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.889 * [backup-simplify]: Simplify (- 0) into 0 1.889 * [backup-simplify]: Simplify (+ 0 0) into 0 1.890 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.890 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.890 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.890 * [taylor]: Taking taylor expansion of 2 in n 1.890 * [backup-simplify]: Simplify 2 into 2 1.890 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.890 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.890 * [taylor]: Taking taylor expansion of n in n 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 1 into 1 1.891 * [backup-simplify]: Simplify (* 1 1) into 1 1.891 * [backup-simplify]: Simplify (/ 1 1) into 1 1.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.893 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.893 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.895 * [backup-simplify]: Simplify (+ 0 0) into 0 1.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (- 0) into 0 1.896 * [backup-simplify]: Simplify (+ 0 0) into 0 1.897 * [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)))) 1.898 * [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))) 1.898 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.898 * [taylor]: Taking taylor expansion of 2 in n 1.898 * [backup-simplify]: Simplify 2 into 2 1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.898 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.898 * [taylor]: Taking taylor expansion of n in n 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 1 into 1 1.898 * [backup-simplify]: Simplify (* 1 1) into 1 1.898 * [backup-simplify]: Simplify (* 1 1) into 1 1.898 * [backup-simplify]: Simplify (/ 1 1) into 1 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.903 * [backup-simplify]: Simplify (log (/ 1 (exp (/ (+ f n) (- f n))))) into (log (/ 1 (exp (/ (+ n f) (- f n))))) 1.903 * [approximate]: Taking taylor expansion of (log (/ 1 (exp (/ (+ n f) (- f n))))) in (f n) around 0 1.903 * [taylor]: Taking taylor expansion of (log (/ 1 (exp (/ (+ n f) (- f n))))) in n 1.903 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in n 1.903 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in n 1.903 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.903 * [taylor]: Taking taylor expansion of (+ n f) in n 1.903 * [taylor]: Taking taylor expansion of n in n 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [taylor]: Taking taylor expansion of f in n 1.903 * [backup-simplify]: Simplify f into f 1.903 * [taylor]: Taking taylor expansion of (- f n) in n 1.904 * [taylor]: Taking taylor expansion of f in n 1.904 * [backup-simplify]: Simplify f into f 1.904 * [taylor]: Taking taylor expansion of n in n 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (+ 0 f) into f 1.904 * [backup-simplify]: Simplify (- 0) into 0 1.904 * [backup-simplify]: Simplify (+ f 0) into f 1.904 * [backup-simplify]: Simplify (/ f f) into 1 1.904 * [backup-simplify]: Simplify (exp 1) into E 1.904 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.905 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.905 * [taylor]: Taking taylor expansion of (log (/ 1 (exp (/ (+ n f) (- f n))))) in f 1.905 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in f 1.905 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 1.905 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.905 * [taylor]: Taking taylor expansion of (+ n f) in f 1.905 * [taylor]: Taking taylor expansion of n in f 1.905 * [backup-simplify]: Simplify n into n 1.905 * [taylor]: Taking taylor expansion of f in f 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [taylor]: Taking taylor expansion of (- f n) in f 1.905 * [taylor]: Taking taylor expansion of f in f 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [taylor]: Taking taylor expansion of n in f 1.905 * [backup-simplify]: Simplify n into n 1.905 * [backup-simplify]: Simplify (+ n 0) into n 1.905 * [backup-simplify]: Simplify (- n) into (- n) 1.905 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.905 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.906 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.906 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.907 * [backup-simplify]: Simplify (log (/ 1 (exp -1))) into (log (/ 1 (exp -1))) 1.907 * [taylor]: Taking taylor expansion of (log (/ 1 (exp (/ (+ n f) (- f n))))) in f 1.907 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in f 1.907 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 1.907 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.907 * [taylor]: Taking taylor expansion of (+ n f) in f 1.907 * [taylor]: Taking taylor expansion of n in f 1.907 * [backup-simplify]: Simplify n into n 1.907 * [taylor]: Taking taylor expansion of f in f 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [taylor]: Taking taylor expansion of (- f n) in f 1.907 * [taylor]: Taking taylor expansion of f in f 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [taylor]: Taking taylor expansion of n in f 1.907 * [backup-simplify]: Simplify n into n 1.907 * [backup-simplify]: Simplify (+ n 0) into n 1.907 * [backup-simplify]: Simplify (- n) into (- n) 1.907 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.907 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.908 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.908 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.909 * [backup-simplify]: Simplify (log (/ 1 (exp -1))) into (log (/ 1 (exp -1))) 1.909 * [taylor]: Taking taylor expansion of (log (/ 1 (exp -1))) in n 1.909 * [taylor]: Taking taylor expansion of (/ 1 (exp -1)) in n 1.909 * [taylor]: Taking taylor expansion of (exp -1) in n 1.909 * [taylor]: Taking taylor expansion of -1 in n 1.909 * [backup-simplify]: Simplify -1 into -1 1.909 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.910 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.911 * [backup-simplify]: Simplify (log (/ 1 (exp -1))) into (log (/ 1 (exp -1))) 1.912 * [backup-simplify]: Simplify (log (/ 1 (exp -1))) into (log (/ 1 (exp -1))) 1.912 * [backup-simplify]: Simplify (+ 0 1) into 1 1.912 * [backup-simplify]: Simplify (- 0) into 0 1.913 * [backup-simplify]: Simplify (+ 1 0) into 1 1.913 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.913 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 1.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) n))) 1.916 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 (* (exp -1) n)))) 1)) (pow (/ 1 (exp -1)) 1)))) 1) into (/ 2 n) 1.916 * [taylor]: Taking taylor expansion of (/ 2 n) in n 1.916 * [taylor]: Taking taylor expansion of 2 in n 1.916 * [backup-simplify]: Simplify 2 into 2 1.916 * [taylor]: Taking taylor expansion of n in n 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [backup-simplify]: Simplify (/ 2 1) into 2 1.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1.916 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))))) into 0 1.918 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (exp -1)) 1)))) 1) into 0 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify (+ 0 0) into 0 1.920 * [backup-simplify]: Simplify (- 0) into 0 1.920 * [backup-simplify]: Simplify (+ 0 0) into 0 1.920 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.921 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 1.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* (* 2 (/ 1 (* (exp -1) n))) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 4 (/ 1 (* (exp -1) (pow n 2)))) 1.925 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 (* (exp -1) n)))) 2)) (pow (/ 1 (exp -1)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ 1 (* (exp -1) (pow n 2))))) 1)) (pow (/ 1 (exp -1)) 1)))) 2) into (/ 2 (pow n 2)) 1.925 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 1.925 * [taylor]: Taking taylor expansion of 2 in n 1.925 * [backup-simplify]: Simplify 2 into 2 1.925 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.925 * [taylor]: Taking taylor expansion of n in n 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify (* 1 1) into 1 1.925 * [backup-simplify]: Simplify (/ 2 1) into 2 1.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.928 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* 0 (/ 0 (exp -1))))) into 0 1.931 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (exp -1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (exp -1)) 1)))) 2) into 0 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify (+ 0 0) into 0 1.932 * [backup-simplify]: Simplify (- 0) into 0 1.932 * [backup-simplify]: Simplify (+ 0 0) into 0 1.932 * [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)))) 1.933 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 1.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* 2/3 (/ (exp -1) (pow n 3))) (exp -1))) (* (* 2 (/ 1 (* (exp -1) n))) (/ 0 (exp -1))) (* (* 4 (/ 1 (* (exp -1) (pow n 2)))) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 22/3 (/ 1 (* (exp -1) (pow n 3)))) 1.940 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 (* (exp -1) n)))) 3)) (pow (/ 1 (exp -1)) 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 (* (exp -1) n)))) 1) (pow (* 2 (* 4 (/ 1 (* (exp -1) (pow n 2))))) 1)) (pow (/ 1 (exp -1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 22/3 (/ 1 (* (exp -1) (pow n 3))))) 1)) (pow (/ 1 (exp -1)) 1)))) 6) into (/ 2 (pow n 3)) 1.940 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 1.940 * [taylor]: Taking taylor expansion of 2 in n 1.940 * [backup-simplify]: Simplify 2 into 2 1.940 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.940 * [taylor]: Taking taylor expansion of n in n 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (* 1 1) into 1 1.941 * [backup-simplify]: Simplify (* 1 1) into 1 1.941 * [backup-simplify]: Simplify (/ 2 1) into 2 1.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify (log (/ 1 (exp -1))) into (log (/ 1 (exp -1))) 1.947 * [backup-simplify]: Simplify (log (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) into (log (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1.947 * [approximate]: Taking taylor expansion of (log (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 1.947 * [taylor]: Taking taylor expansion of (log (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 1.947 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.947 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.947 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.947 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.947 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.947 * [taylor]: Taking taylor expansion of f in n 1.947 * [backup-simplify]: Simplify f into f 1.947 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.947 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.947 * [taylor]: Taking taylor expansion of n in n 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (/ 1 1) into 1 1.947 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.947 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.947 * [taylor]: Taking taylor expansion of f in n 1.947 * [backup-simplify]: Simplify f into f 1.947 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.947 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.947 * [taylor]: Taking taylor expansion of n in n 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (/ 1 1) into 1 1.948 * [backup-simplify]: Simplify (+ 0 1) into 1 1.948 * [backup-simplify]: Simplify (- 1) into -1 1.948 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.948 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.949 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.949 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.950 * [backup-simplify]: Simplify (log (/ 1 (exp -1))) into (log (/ 1 (exp -1))) 1.950 * [taylor]: Taking taylor expansion of (log (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.950 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.950 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.950 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.950 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.950 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.950 * [taylor]: Taking taylor expansion of f in f 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.950 * [backup-simplify]: Simplify (/ 1 1) into 1 1.950 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.950 * [taylor]: Taking taylor expansion of n in f 1.950 * [backup-simplify]: Simplify n into n 1.951 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.951 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.951 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.951 * [taylor]: Taking taylor expansion of f in f 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify (/ 1 1) into 1 1.951 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.951 * [taylor]: Taking taylor expansion of n in f 1.951 * [backup-simplify]: Simplify n into n 1.951 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.951 * [backup-simplify]: Simplify (+ 1 0) into 1 1.951 * [backup-simplify]: Simplify (+ 1 0) into 1 1.952 * [backup-simplify]: Simplify (/ 1 1) into 1 1.952 * [backup-simplify]: Simplify (exp 1) into E 1.952 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.953 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.953 * [taylor]: Taking taylor expansion of (log (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.953 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.953 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.953 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.953 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.953 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.953 * [taylor]: Taking taylor expansion of f in f 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [backup-simplify]: Simplify (/ 1 1) into 1 1.953 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.953 * [taylor]: Taking taylor expansion of n in f 1.953 * [backup-simplify]: Simplify n into n 1.953 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.953 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.953 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.953 * [taylor]: Taking taylor expansion of f in f 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [backup-simplify]: Simplify (/ 1 1) into 1 1.953 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.953 * [taylor]: Taking taylor expansion of n in f 1.953 * [backup-simplify]: Simplify n into n 1.953 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.954 * [backup-simplify]: Simplify (+ 1 0) into 1 1.954 * [backup-simplify]: Simplify (+ 1 0) into 1 1.954 * [backup-simplify]: Simplify (/ 1 1) into 1 1.954 * [backup-simplify]: Simplify (exp 1) into E 1.954 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.955 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.955 * [taylor]: Taking taylor expansion of (log (/ 1 E)) in n 1.955 * [taylor]: Taking taylor expansion of (/ 1 E) in n 1.955 * [taylor]: Taking taylor expansion of E in n 1.955 * [backup-simplify]: Simplify E into E 1.956 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.956 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.957 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.958 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.958 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.958 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 1.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 1.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 (* E n))))) 1)) (pow (/ 1 E) 1)))) 1) into (/ -2 n) 1.959 * [taylor]: Taking taylor expansion of (/ -2 n) in n 1.959 * [taylor]: Taking taylor expansion of -2 in n 1.959 * [backup-simplify]: Simplify -2 into -2 1.959 * [taylor]: Taking taylor expansion of n in n 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (/ -2 1) into -2 1.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 1.962 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 E) 1)))) 1) into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.962 * [backup-simplify]: Simplify (+ 0 0) into 0 1.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.963 * [backup-simplify]: Simplify (- 0) into 0 1.963 * [backup-simplify]: Simplify (+ 0 0) into 0 1.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.964 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 1.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 4 (/ E (pow n 2))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 2 (/ E n)) E)))) into 0 1.967 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 (* E n))))) 2)) (pow (/ 1 E) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 E) 1)))) 2) into (/ -2 (pow n 2)) 1.967 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 1.967 * [taylor]: Taking taylor expansion of -2 in n 1.967 * [backup-simplify]: Simplify -2 into -2 1.967 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.967 * [taylor]: Taking taylor expansion of n in n 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (* 1 1) into 1 1.967 * [backup-simplify]: Simplify (/ -2 1) into -2 1.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 1.972 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 E) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 E) 1)))) 2) into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.976 * [backup-simplify]: Simplify (+ 0 0) into 0 1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.977 * [backup-simplify]: Simplify (- 0) into 0 1.977 * [backup-simplify]: Simplify (+ 0 0) into 0 1.978 * [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))) 1.979 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 1.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 22/3 (/ E (pow n 3))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 4 (/ E (pow n 2))) E)) (* 0 (/ (* 2 (/ E n)) E)))) into (* 2/3 (/ 1 (* E (pow n 3)))) 1.982 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 (* E n))))) 3)) (pow (/ 1 E) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 (* E n))))) 1) (pow (* 2 0) 1)) (pow (/ 1 E) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ 1 (* E (pow n 3))))) 1)) (pow (/ 1 E) 1)))) 6) into (/ -2 (pow n 3)) 1.982 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 1.982 * [taylor]: Taking taylor expansion of -2 in n 1.982 * [backup-simplify]: Simplify -2 into -2 1.982 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.982 * [taylor]: Taking taylor expansion of n in n 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (* 1 1) into 1 1.983 * [backup-simplify]: Simplify (* 1 1) into 1 1.983 * [backup-simplify]: Simplify (/ -2 1) into -2 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.988 * [backup-simplify]: Simplify (log (/ 1 (exp (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))))) into (log (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) 1.988 * [approximate]: Taking taylor expansion of (log (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in (f n) around 0 1.988 * [taylor]: Taking taylor expansion of (log (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in n 1.988 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 1.988 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 1.988 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.988 * [taylor]: Taking taylor expansion of -1 in n 1.988 * [backup-simplify]: Simplify -1 into -1 1.988 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.988 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.988 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.988 * [taylor]: Taking taylor expansion of f in n 1.989 * [backup-simplify]: Simplify f into f 1.989 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.989 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.989 * [taylor]: Taking taylor expansion of n in n 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [backup-simplify]: Simplify (/ 1 1) into 1 1.989 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.989 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.989 * [taylor]: Taking taylor expansion of n in n 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [backup-simplify]: Simplify (/ 1 1) into 1 1.989 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.989 * [taylor]: Taking taylor expansion of f in n 1.989 * [backup-simplify]: Simplify f into f 1.989 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.989 * [backup-simplify]: Simplify (+ 0 1) into 1 1.990 * [backup-simplify]: Simplify (+ 1 0) into 1 1.990 * [backup-simplify]: Simplify (/ 1 1) into 1 1.990 * [backup-simplify]: Simplify (* -1 1) into -1 1.990 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.991 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.992 * [backup-simplify]: Simplify (log (/ 1 (exp -1))) into (log (/ 1 (exp -1))) 1.992 * [taylor]: Taking taylor expansion of (log (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in f 1.992 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 1.992 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.992 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.992 * [taylor]: Taking taylor expansion of -1 in f 1.992 * [backup-simplify]: Simplify -1 into -1 1.992 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.992 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.992 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.992 * [taylor]: Taking taylor expansion of f in f 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.992 * [taylor]: Taking taylor expansion of n in f 1.992 * [backup-simplify]: Simplify n into n 1.992 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.992 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.992 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.992 * [taylor]: Taking taylor expansion of n in f 1.992 * [backup-simplify]: Simplify n into n 1.992 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.992 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.992 * [taylor]: Taking taylor expansion of f in f 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [backup-simplify]: Simplify (+ 1 0) into 1 1.993 * [backup-simplify]: Simplify (- 1) into -1 1.993 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.994 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.994 * [backup-simplify]: Simplify (* -1 -1) into 1 1.994 * [backup-simplify]: Simplify (exp 1) into E 1.994 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.995 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.995 * [taylor]: Taking taylor expansion of (log (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in f 1.995 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 1.995 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.995 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.995 * [taylor]: Taking taylor expansion of -1 in f 1.995 * [backup-simplify]: Simplify -1 into -1 1.995 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.995 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.995 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.995 * [taylor]: Taking taylor expansion of f in f 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify (/ 1 1) into 1 1.995 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.995 * [taylor]: Taking taylor expansion of n in f 1.995 * [backup-simplify]: Simplify n into n 1.995 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.995 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.995 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.995 * [taylor]: Taking taylor expansion of n in f 1.995 * [backup-simplify]: Simplify n into n 1.995 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.995 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.995 * [taylor]: Taking taylor expansion of f in f 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.996 * [backup-simplify]: Simplify (/ 1 1) into 1 1.996 * [backup-simplify]: Simplify (+ 1 0) into 1 1.996 * [backup-simplify]: Simplify (- 1) into -1 1.996 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.997 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.997 * [backup-simplify]: Simplify (* -1 -1) into 1 1.997 * [backup-simplify]: Simplify (exp 1) into E 1.997 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.998 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.998 * [taylor]: Taking taylor expansion of (log (/ 1 E)) in n 1.998 * [taylor]: Taking taylor expansion of (/ 1 E) in n 1.998 * [taylor]: Taking taylor expansion of E in n 1.998 * [backup-simplify]: Simplify E into E 1.998 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.999 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.999 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (- 0) into 0 2.000 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.001 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.001 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.001 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 2.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 2.002 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 (* E n))))) 1)) (pow (/ 1 E) 1)))) 1) into (/ -2 n) 2.002 * [taylor]: Taking taylor expansion of (/ -2 n) in n 2.002 * [taylor]: Taking taylor expansion of -2 in n 2.002 * [backup-simplify]: Simplify -2 into -2 2.002 * [taylor]: Taking taylor expansion of n in n 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (/ -2 1) into -2 2.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 2.005 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 E) 1)))) 1) into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify (- 0) into 0 2.006 * [backup-simplify]: Simplify (+ 0 0) into 0 2.007 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.008 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.008 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 2.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 4 (/ E (pow n 2))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 2 (/ E n)) E)))) into 0 2.010 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 (* E n))))) 2)) (pow (/ 1 E) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 E) 1)))) 2) into (/ -2 (pow n 2)) 2.010 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 2.010 * [taylor]: Taking taylor expansion of -2 in n 2.010 * [backup-simplify]: Simplify -2 into -2 2.010 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.010 * [taylor]: Taking taylor expansion of n in n 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.011 * [backup-simplify]: Simplify (* 1 1) into 1 2.011 * [backup-simplify]: Simplify (/ -2 1) into -2 2.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 2.015 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 E) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 E) 1)))) 2) into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.016 * [backup-simplify]: Simplify (+ 0 0) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (- 0) into 0 2.017 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.019 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 2.020 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 2.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 22/3 (/ E (pow n 3))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 4 (/ E (pow n 2))) E)) (* 0 (/ (* 2 (/ E n)) E)))) into (* 2/3 (/ 1 (* E (pow n 3)))) 2.023 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 (* E n))))) 3)) (pow (/ 1 E) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 (* E n))))) 1) (pow (* 2 0) 1)) (pow (/ 1 E) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ 1 (* E (pow n 3))))) 1)) (pow (/ 1 E) 1)))) 6) into (/ -2 (pow n 3)) 2.023 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 2.023 * [taylor]: Taking taylor expansion of -2 in n 2.023 * [backup-simplify]: Simplify -2 into -2 2.023 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.023 * [taylor]: Taking taylor expansion of n in n 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (* 1 1) into 1 2.024 * [backup-simplify]: Simplify (* 1 1) into 1 2.024 * [backup-simplify]: Simplify (/ -2 1) into -2 2.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.028 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 2.029 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.029 * [backup-simplify]: Simplify (exp (/ (+ f n) (- f n))) into (exp (/ (+ n f) (- f n))) 2.029 * [approximate]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in (f n) around 0 2.029 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in n 2.029 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.029 * [taylor]: Taking taylor expansion of (+ n f) in n 2.029 * [taylor]: Taking taylor expansion of n in n 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [taylor]: Taking taylor expansion of f in n 2.029 * [backup-simplify]: Simplify f into f 2.029 * [taylor]: Taking taylor expansion of (- f n) in n 2.029 * [taylor]: Taking taylor expansion of f in n 2.029 * [backup-simplify]: Simplify f into f 2.029 * [taylor]: Taking taylor expansion of n in n 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (+ 0 f) into f 2.030 * [backup-simplify]: Simplify (- 0) into 0 2.030 * [backup-simplify]: Simplify (+ f 0) into f 2.030 * [backup-simplify]: Simplify (/ f f) into 1 2.030 * [backup-simplify]: Simplify (exp 1) into E 2.030 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 2.030 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.030 * [taylor]: Taking taylor expansion of (+ n f) in f 2.030 * [taylor]: Taking taylor expansion of n in f 2.030 * [backup-simplify]: Simplify n into n 2.030 * [taylor]: Taking taylor expansion of f in f 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [taylor]: Taking taylor expansion of (- f n) in f 2.030 * [taylor]: Taking taylor expansion of f in f 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [taylor]: Taking taylor expansion of n in f 2.030 * [backup-simplify]: Simplify n into n 2.030 * [backup-simplify]: Simplify (+ n 0) into n 2.030 * [backup-simplify]: Simplify (- n) into (- n) 2.030 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.030 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.030 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.030 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 2.030 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.030 * [taylor]: Taking taylor expansion of (+ n f) in f 2.030 * [taylor]: Taking taylor expansion of n in f 2.030 * [backup-simplify]: Simplify n into n 2.030 * [taylor]: Taking taylor expansion of f in f 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [taylor]: Taking taylor expansion of (- f n) in f 2.030 * [taylor]: Taking taylor expansion of f in f 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [taylor]: Taking taylor expansion of n in f 2.030 * [backup-simplify]: Simplify n into n 2.030 * [backup-simplify]: Simplify (+ n 0) into n 2.030 * [backup-simplify]: Simplify (- n) into (- n) 2.031 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.031 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.031 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.031 * [taylor]: Taking taylor expansion of (exp -1) in n 2.031 * [taylor]: Taking taylor expansion of -1 in n 2.031 * [backup-simplify]: Simplify -1 into -1 2.031 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.031 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.032 * [backup-simplify]: Simplify (+ 0 1) into 1 2.032 * [backup-simplify]: Simplify (- 0) into 0 2.032 * [backup-simplify]: Simplify (+ 1 0) into 1 2.032 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.033 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 2.033 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 2.033 * [taylor]: Taking taylor expansion of -2 in n 2.033 * [backup-simplify]: Simplify -2 into -2 2.033 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 2.033 * [taylor]: Taking taylor expansion of (exp -1) in n 2.033 * [taylor]: Taking taylor expansion of -1 in n 2.033 * [backup-simplify]: Simplify -1 into -1 2.033 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.033 * [taylor]: Taking taylor expansion of n in n 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.034 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.035 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 2.035 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify (+ 0 0) into 0 2.036 * [backup-simplify]: Simplify (- 0) into 0 2.036 * [backup-simplify]: Simplify (+ 0 0) into 0 2.037 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.037 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 2.037 * [taylor]: Taking taylor expansion of 0 in n 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 2.039 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (+ 0 0) into 0 2.041 * [backup-simplify]: Simplify (- 0) into 0 2.041 * [backup-simplify]: Simplify (+ 0 0) into 0 2.041 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 2.042 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 2.042 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 2.042 * [taylor]: Taking taylor expansion of 2/3 in n 2.042 * [backup-simplify]: Simplify 2/3 into 2/3 2.042 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 2.042 * [taylor]: Taking taylor expansion of (exp -1) in n 2.042 * [taylor]: Taking taylor expansion of -1 in n 2.042 * [backup-simplify]: Simplify -1 into -1 2.043 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.043 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.043 * [taylor]: Taking taylor expansion of n in n 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 1 into 1 2.043 * [backup-simplify]: Simplify (* 1 1) into 1 2.043 * [backup-simplify]: Simplify (* 1 1) into 1 2.044 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.045 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.047 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.050 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.052 * [backup-simplify]: Simplify (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 2.052 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.052 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.052 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.052 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.052 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.052 * [taylor]: Taking taylor expansion of f in n 2.052 * [backup-simplify]: Simplify f into f 2.052 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.052 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.052 * [taylor]: Taking taylor expansion of n in n 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (/ 1 1) into 1 2.052 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.052 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.052 * [taylor]: Taking taylor expansion of f in n 2.052 * [backup-simplify]: Simplify f into f 2.053 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.053 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.053 * [taylor]: Taking taylor expansion of n in n 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [backup-simplify]: Simplify (/ 1 1) into 1 2.053 * [backup-simplify]: Simplify (+ 0 1) into 1 2.053 * [backup-simplify]: Simplify (- 1) into -1 2.053 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.054 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.054 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.054 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.054 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.054 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.054 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.054 * [taylor]: Taking taylor expansion of f in f 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 1 into 1 2.054 * [backup-simplify]: Simplify (/ 1 1) into 1 2.054 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.054 * [taylor]: Taking taylor expansion of n in f 2.054 * [backup-simplify]: Simplify n into n 2.054 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.054 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.054 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.054 * [taylor]: Taking taylor expansion of f in f 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 1 into 1 2.055 * [backup-simplify]: Simplify (/ 1 1) into 1 2.055 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.055 * [taylor]: Taking taylor expansion of n in f 2.055 * [backup-simplify]: Simplify n into n 2.055 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.055 * [backup-simplify]: Simplify (+ 1 0) into 1 2.055 * [backup-simplify]: Simplify (+ 1 0) into 1 2.055 * [backup-simplify]: Simplify (/ 1 1) into 1 2.056 * [backup-simplify]: Simplify (exp 1) into E 2.056 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.056 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.056 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.056 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.056 * [taylor]: Taking taylor expansion of f in f 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify (/ 1 1) into 1 2.056 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.056 * [taylor]: Taking taylor expansion of n in f 2.056 * [backup-simplify]: Simplify n into n 2.056 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.056 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.056 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.056 * [taylor]: Taking taylor expansion of f in f 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify (/ 1 1) into 1 2.056 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.056 * [taylor]: Taking taylor expansion of n in f 2.056 * [backup-simplify]: Simplify n into n 2.056 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.057 * [backup-simplify]: Simplify (+ 1 0) into 1 2.057 * [backup-simplify]: Simplify (+ 1 0) into 1 2.057 * [backup-simplify]: Simplify (/ 1 1) into 1 2.057 * [backup-simplify]: Simplify (exp 1) into E 2.057 * [taylor]: Taking taylor expansion of E in n 2.057 * [backup-simplify]: Simplify E into E 2.057 * [backup-simplify]: Simplify E into E 2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.058 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.058 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.058 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.058 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.058 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 2.058 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 2.059 * [taylor]: Taking taylor expansion of 2 in n 2.059 * [backup-simplify]: Simplify 2 into 2 2.059 * [taylor]: Taking taylor expansion of (/ E n) in n 2.059 * [taylor]: Taking taylor expansion of E in n 2.059 * [backup-simplify]: Simplify E into E 2.059 * [taylor]: Taking taylor expansion of n in n 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify 1 into 1 2.059 * [backup-simplify]: Simplify (/ E 1) into E 2.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.061 * [backup-simplify]: Simplify (+ 0 0) into 0 2.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.061 * [backup-simplify]: Simplify (- 0) into 0 2.062 * [backup-simplify]: Simplify (+ 0 0) into 0 2.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.063 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 2.063 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 2.063 * [taylor]: Taking taylor expansion of 4 in n 2.063 * [backup-simplify]: Simplify 4 into 4 2.063 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 2.063 * [taylor]: Taking taylor expansion of E in n 2.063 * [backup-simplify]: Simplify E into E 2.063 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.063 * [taylor]: Taking taylor expansion of n in n 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (* 1 1) into 1 2.063 * [backup-simplify]: Simplify (/ E 1) into E 2.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.071 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.071 * [backup-simplify]: Simplify (- 0) into 0 2.072 * [backup-simplify]: Simplify (+ 0 0) into 0 2.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 2.073 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 2.073 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 2.073 * [taylor]: Taking taylor expansion of 22/3 in n 2.073 * [backup-simplify]: Simplify 22/3 into 22/3 2.073 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 2.073 * [taylor]: Taking taylor expansion of E in n 2.073 * [backup-simplify]: Simplify E into E 2.073 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.073 * [taylor]: Taking taylor expansion of n in n 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (* 1 1) into 1 2.074 * [backup-simplify]: Simplify (* 1 1) into 1 2.074 * [backup-simplify]: Simplify (/ E 1) into E 2.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify E into E 2.080 * [backup-simplify]: Simplify (exp (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.080 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 2.080 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 2.080 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.080 * [taylor]: Taking taylor expansion of -1 in n 2.080 * [backup-simplify]: Simplify -1 into -1 2.080 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.080 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.080 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.080 * [taylor]: Taking taylor expansion of f in n 2.080 * [backup-simplify]: Simplify f into f 2.080 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.080 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.080 * [taylor]: Taking taylor expansion of n in n 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (/ 1 1) into 1 2.080 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.080 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.080 * [taylor]: Taking taylor expansion of n in n 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (/ 1 1) into 1 2.080 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.080 * [taylor]: Taking taylor expansion of f in n 2.080 * [backup-simplify]: Simplify f into f 2.080 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.081 * [backup-simplify]: Simplify (+ 0 1) into 1 2.081 * [backup-simplify]: Simplify (+ 1 0) into 1 2.081 * [backup-simplify]: Simplify (/ 1 1) into 1 2.081 * [backup-simplify]: Simplify (* -1 1) into -1 2.082 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.082 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.082 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.082 * [taylor]: Taking taylor expansion of -1 in f 2.082 * [backup-simplify]: Simplify -1 into -1 2.082 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.082 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.082 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.082 * [taylor]: Taking taylor expansion of f in f 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 1 into 1 2.082 * [backup-simplify]: Simplify (/ 1 1) into 1 2.082 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.082 * [taylor]: Taking taylor expansion of n in f 2.082 * [backup-simplify]: Simplify n into n 2.082 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.082 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.082 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.082 * [taylor]: Taking taylor expansion of n in f 2.082 * [backup-simplify]: Simplify n into n 2.082 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.082 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.082 * [taylor]: Taking taylor expansion of f in f 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 1 into 1 2.082 * [backup-simplify]: Simplify (/ 1 1) into 1 2.083 * [backup-simplify]: Simplify (+ 1 0) into 1 2.083 * [backup-simplify]: Simplify (- 1) into -1 2.083 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.083 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.084 * [backup-simplify]: Simplify (* -1 -1) into 1 2.084 * [backup-simplify]: Simplify (exp 1) into E 2.084 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.084 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.084 * [taylor]: Taking taylor expansion of -1 in f 2.084 * [backup-simplify]: Simplify -1 into -1 2.084 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.084 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.084 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.084 * [taylor]: Taking taylor expansion of f in f 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.084 * [backup-simplify]: Simplify (/ 1 1) into 1 2.084 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.084 * [taylor]: Taking taylor expansion of n in f 2.084 * [backup-simplify]: Simplify n into n 2.084 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.084 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.084 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.084 * [taylor]: Taking taylor expansion of n in f 2.084 * [backup-simplify]: Simplify n into n 2.084 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.084 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.084 * [taylor]: Taking taylor expansion of f in f 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.085 * [backup-simplify]: Simplify (/ 1 1) into 1 2.085 * [backup-simplify]: Simplify (+ 1 0) into 1 2.085 * [backup-simplify]: Simplify (- 1) into -1 2.085 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.085 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.086 * [backup-simplify]: Simplify (* -1 -1) into 1 2.086 * [backup-simplify]: Simplify (exp 1) into E 2.086 * [taylor]: Taking taylor expansion of E in n 2.086 * [backup-simplify]: Simplify E into E 2.086 * [backup-simplify]: Simplify E into E 2.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.086 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.087 * [backup-simplify]: Simplify (- 0) into 0 2.087 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.087 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.087 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.088 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 2.088 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 2.088 * [taylor]: Taking taylor expansion of 2 in n 2.088 * [backup-simplify]: Simplify 2 into 2 2.088 * [taylor]: Taking taylor expansion of (/ E n) in n 2.088 * [taylor]: Taking taylor expansion of E in n 2.088 * [backup-simplify]: Simplify E into E 2.088 * [taylor]: Taking taylor expansion of n in n 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 1 into 1 2.088 * [backup-simplify]: Simplify (/ E 1) into E 2.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.090 * [backup-simplify]: Simplify (+ 0 0) into 0 2.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.091 * [backup-simplify]: Simplify (- 0) into 0 2.091 * [backup-simplify]: Simplify (+ 0 0) into 0 2.091 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.092 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.092 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 2.092 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 2.092 * [taylor]: Taking taylor expansion of 4 in n 2.092 * [backup-simplify]: Simplify 4 into 4 2.092 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 2.092 * [taylor]: Taking taylor expansion of E in n 2.092 * [backup-simplify]: Simplify E into E 2.092 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.092 * [taylor]: Taking taylor expansion of n in n 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 1 into 1 2.093 * [backup-simplify]: Simplify (* 1 1) into 1 2.093 * [backup-simplify]: Simplify (/ E 1) into E 2.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 2.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.095 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 2.095 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.097 * [backup-simplify]: Simplify (+ 0 0) into 0 2.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (- 0) into 0 2.098 * [backup-simplify]: Simplify (+ 0 0) into 0 2.099 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.100 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 2.101 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 2.101 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 2.101 * [taylor]: Taking taylor expansion of 22/3 in n 2.101 * [backup-simplify]: Simplify 22/3 into 22/3 2.101 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 2.101 * [taylor]: Taking taylor expansion of E in n 2.101 * [backup-simplify]: Simplify E into E 2.101 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.101 * [taylor]: Taking taylor expansion of n in n 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 1 into 1 2.101 * [backup-simplify]: Simplify (* 1 1) into 1 2.101 * [backup-simplify]: Simplify (* 1 1) into 1 2.102 * [backup-simplify]: Simplify (/ E 1) into E 2.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify E into E 2.107 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.107 * [backup-simplify]: Simplify (/ 1 (exp (/ (+ f n) (- f n)))) into (/ 1 (exp (/ (+ n f) (- f n)))) 2.107 * [approximate]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in (f n) around 0 2.107 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in n 2.107 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in n 2.107 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.107 * [taylor]: Taking taylor expansion of (+ n f) in n 2.107 * [taylor]: Taking taylor expansion of n in n 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [taylor]: Taking taylor expansion of f in n 2.107 * [backup-simplify]: Simplify f into f 2.107 * [taylor]: Taking taylor expansion of (- f n) in n 2.107 * [taylor]: Taking taylor expansion of f in n 2.107 * [backup-simplify]: Simplify f into f 2.107 * [taylor]: Taking taylor expansion of n in n 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [backup-simplify]: Simplify (+ 0 f) into f 2.107 * [backup-simplify]: Simplify (- 0) into 0 2.108 * [backup-simplify]: Simplify (+ f 0) into f 2.108 * [backup-simplify]: Simplify (/ f f) into 1 2.108 * [backup-simplify]: Simplify (exp 1) into E 2.108 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.108 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in f 2.108 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 2.108 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.108 * [taylor]: Taking taylor expansion of (+ n f) in f 2.108 * [taylor]: Taking taylor expansion of n in f 2.108 * [backup-simplify]: Simplify n into n 2.108 * [taylor]: Taking taylor expansion of f in f 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [taylor]: Taking taylor expansion of (- f n) in f 2.108 * [taylor]: Taking taylor expansion of f in f 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [taylor]: Taking taylor expansion of n in f 2.108 * [backup-simplify]: Simplify n into n 2.108 * [backup-simplify]: Simplify (+ n 0) into n 2.108 * [backup-simplify]: Simplify (- n) into (- n) 2.108 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.108 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.108 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.109 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 2.109 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in f 2.109 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 2.109 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.109 * [taylor]: Taking taylor expansion of (+ n f) in f 2.109 * [taylor]: Taking taylor expansion of n in f 2.109 * [backup-simplify]: Simplify n into n 2.109 * [taylor]: Taking taylor expansion of f in f 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [taylor]: Taking taylor expansion of (- f n) in f 2.109 * [taylor]: Taking taylor expansion of f in f 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [taylor]: Taking taylor expansion of n in f 2.109 * [backup-simplify]: Simplify n into n 2.109 * [backup-simplify]: Simplify (+ n 0) into n 2.109 * [backup-simplify]: Simplify (- n) into (- n) 2.109 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.109 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.110 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.110 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 2.110 * [taylor]: Taking taylor expansion of (/ 1 (exp -1)) in n 2.110 * [taylor]: Taking taylor expansion of (exp -1) in n 2.110 * [taylor]: Taking taylor expansion of -1 in n 2.110 * [backup-simplify]: Simplify -1 into -1 2.110 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.111 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 2.112 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 2.112 * [backup-simplify]: Simplify (+ 0 1) into 1 2.112 * [backup-simplify]: Simplify (- 0) into 0 2.112 * [backup-simplify]: Simplify (+ 1 0) into 1 2.112 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.113 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 2.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) n))) 2.114 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (exp -1) n))) in n 2.114 * [taylor]: Taking taylor expansion of 2 in n 2.114 * [backup-simplify]: Simplify 2 into 2 2.114 * [taylor]: Taking taylor expansion of (/ 1 (* (exp -1) n)) in n 2.114 * [taylor]: Taking taylor expansion of (* (exp -1) n) in n 2.114 * [taylor]: Taking taylor expansion of (exp -1) in n 2.114 * [taylor]: Taking taylor expansion of -1 in n 2.114 * [backup-simplify]: Simplify -1 into -1 2.114 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.114 * [taylor]: Taking taylor expansion of n in n 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [backup-simplify]: Simplify (* (exp -1) 0) into 0 2.115 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.116 * [backup-simplify]: Simplify (+ (* (exp -1) 1) (* 0 0)) into (exp -1) 2.117 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 2.118 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.118 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 1) (* 0 0))) into 0 2.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))))) into 0 2.119 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (exp -1)))) into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))))) into 0 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify (+ 0 0) into 0 2.121 * [backup-simplify]: Simplify (- 0) into 0 2.121 * [backup-simplify]: Simplify (+ 0 0) into 0 2.122 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.122 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 2.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* (* 2 (/ 1 (* (exp -1) n))) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 4 (/ 1 (* (exp -1) (pow n 2)))) 2.123 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (exp -1) (pow n 2)))) in n 2.123 * [taylor]: Taking taylor expansion of 4 in n 2.123 * [backup-simplify]: Simplify 4 into 4 2.123 * [taylor]: Taking taylor expansion of (/ 1 (* (exp -1) (pow n 2))) in n 2.123 * [taylor]: Taking taylor expansion of (* (exp -1) (pow n 2)) in n 2.123 * [taylor]: Taking taylor expansion of (exp -1) in n 2.123 * [taylor]: Taking taylor expansion of -1 in n 2.123 * [backup-simplify]: Simplify -1 into -1 2.124 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.124 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.124 * [taylor]: Taking taylor expansion of n in n 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (* 1 1) into 1 2.125 * [backup-simplify]: Simplify (* (exp -1) 1) into (exp -1) 2.125 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 2.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.126 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.127 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.128 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 0) (* 0 1))) into 0 2.128 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (* 0 1)) into 0 2.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))))) into 0 2.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* 0 (/ 0 (exp -1))))) into 0 2.130 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 (exp -1))))) into 0 2.131 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.132 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* 0 (/ 0 (exp -1))))) into 0 2.134 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (exp -1))))) into 0 2.134 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* 0 (/ 0 (exp -1))))) into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify (+ 0 0) into 0 2.136 * [backup-simplify]: Simplify (- 0) into 0 2.136 * [backup-simplify]: Simplify (+ 0 0) into 0 2.136 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 2.137 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 2.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* 2/3 (/ (exp -1) (pow n 3))) (exp -1))) (* (* 2 (/ 1 (* (exp -1) n))) (/ 0 (exp -1))) (* (* 4 (/ 1 (* (exp -1) (pow n 2)))) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 22/3 (/ 1 (* (exp -1) (pow n 3)))) 2.140 * [taylor]: Taking taylor expansion of (* 22/3 (/ 1 (* (exp -1) (pow n 3)))) in n 2.140 * [taylor]: Taking taylor expansion of 22/3 in n 2.140 * [backup-simplify]: Simplify 22/3 into 22/3 2.140 * [taylor]: Taking taylor expansion of (/ 1 (* (exp -1) (pow n 3))) in n 2.140 * [taylor]: Taking taylor expansion of (* (exp -1) (pow n 3)) in n 2.140 * [taylor]: Taking taylor expansion of (exp -1) in n 2.140 * [taylor]: Taking taylor expansion of -1 in n 2.140 * [backup-simplify]: Simplify -1 into -1 2.140 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.140 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.140 * [taylor]: Taking taylor expansion of n in n 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (* 1 1) into 1 2.141 * [backup-simplify]: Simplify (* 1 1) into 1 2.141 * [backup-simplify]: Simplify (* (exp -1) 1) into (exp -1) 2.142 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 2.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.146 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.147 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (* 0 1)) into 0 2.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))))) into 0 2.150 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 0) (* 0 1))) into 0 2.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* 0 (/ 0 (exp -1))))) into 0 2.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* 0 (/ 0 (exp -1))) (* 0 (/ 0 (exp -1))))) into 0 2.152 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp -1)))))) into 0 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 2.152 * [backup-simplify]: Simplify (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) into (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2.152 * [approximate]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 2.152 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.152 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.153 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.153 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.153 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.153 * [taylor]: Taking taylor expansion of f in n 2.153 * [backup-simplify]: Simplify f into f 2.153 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.153 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.153 * [taylor]: Taking taylor expansion of n in n 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 1 into 1 2.153 * [backup-simplify]: Simplify (/ 1 1) into 1 2.153 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.153 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.153 * [taylor]: Taking taylor expansion of f in n 2.153 * [backup-simplify]: Simplify f into f 2.153 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.153 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.153 * [taylor]: Taking taylor expansion of n in n 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 1 into 1 2.153 * [backup-simplify]: Simplify (/ 1 1) into 1 2.154 * [backup-simplify]: Simplify (+ 0 1) into 1 2.154 * [backup-simplify]: Simplify (- 1) into -1 2.154 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.157 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.157 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.158 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 2.158 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.158 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.158 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.158 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.158 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.158 * [taylor]: Taking taylor expansion of f in f 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 1 into 1 2.158 * [backup-simplify]: Simplify (/ 1 1) into 1 2.158 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.158 * [taylor]: Taking taylor expansion of n in f 2.158 * [backup-simplify]: Simplify n into n 2.158 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.158 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.158 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.158 * [taylor]: Taking taylor expansion of f in f 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 1 into 1 2.158 * [backup-simplify]: Simplify (/ 1 1) into 1 2.158 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.158 * [taylor]: Taking taylor expansion of n in f 2.158 * [backup-simplify]: Simplify n into n 2.158 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.159 * [backup-simplify]: Simplify (+ 1 0) into 1 2.159 * [backup-simplify]: Simplify (+ 1 0) into 1 2.159 * [backup-simplify]: Simplify (/ 1 1) into 1 2.159 * [backup-simplify]: Simplify (exp 1) into E 2.160 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.160 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.160 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.160 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.160 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.160 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.160 * [taylor]: Taking taylor expansion of f in f 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 1 into 1 2.160 * [backup-simplify]: Simplify (/ 1 1) into 1 2.160 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.160 * [taylor]: Taking taylor expansion of n in f 2.160 * [backup-simplify]: Simplify n into n 2.160 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.160 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.160 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.160 * [taylor]: Taking taylor expansion of f in f 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 1 into 1 2.160 * [backup-simplify]: Simplify (/ 1 1) into 1 2.160 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.160 * [taylor]: Taking taylor expansion of n in f 2.160 * [backup-simplify]: Simplify n into n 2.160 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.161 * [backup-simplify]: Simplify (+ 1 0) into 1 2.161 * [backup-simplify]: Simplify (+ 1 0) into 1 2.161 * [backup-simplify]: Simplify (/ 1 1) into 1 2.161 * [backup-simplify]: Simplify (exp 1) into E 2.161 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.162 * [taylor]: Taking taylor expansion of (/ 1 E) in n 2.162 * [taylor]: Taking taylor expansion of E in n 2.162 * [backup-simplify]: Simplify E into E 2.162 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.162 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.163 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.163 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.163 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.163 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.163 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 2.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 2.164 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (* E n)))) in n 2.164 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* E n))) in n 2.164 * [taylor]: Taking taylor expansion of 2 in n 2.164 * [backup-simplify]: Simplify 2 into 2 2.164 * [taylor]: Taking taylor expansion of (/ 1 (* E n)) in n 2.164 * [taylor]: Taking taylor expansion of (* E n) in n 2.164 * [taylor]: Taking taylor expansion of E in n 2.164 * [backup-simplify]: Simplify E into E 2.164 * [taylor]: Taking taylor expansion of n in n 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 1 into 1 2.164 * [backup-simplify]: Simplify (* E 0) into 0 2.165 * [backup-simplify]: Simplify (+ (* E 1) (* 0 0)) into E 2.166 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.166 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 1) (* 0 0))) into 0 2.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 2.167 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 E))) into 0 2.167 * [backup-simplify]: Simplify (- 0) into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.169 * [backup-simplify]: Simplify (+ 0 0) into 0 2.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.170 * [backup-simplify]: Simplify (- 0) into 0 2.170 * [backup-simplify]: Simplify (+ 0 0) into 0 2.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.171 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 2.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 4 (/ E (pow n 2))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 2 (/ E n)) E)))) into 0 2.171 * [taylor]: Taking taylor expansion of 0 in n 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 2.173 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 E)))) into 0 2.174 * [backup-simplify]: Simplify (- 0) into 0 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 2.174 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.175 * [backup-simplify]: Simplify (+ 0 0) into 0 2.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.176 * [backup-simplify]: Simplify (- 0) into 0 2.176 * [backup-simplify]: Simplify (+ 0 0) into 0 2.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 2.178 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 2.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 22/3 (/ E (pow n 3))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 4 (/ E (pow n 2))) E)) (* 0 (/ (* 2 (/ E n)) E)))) into (* 2/3 (/ 1 (* E (pow n 3)))) 2.179 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 (* E (pow n 3)))) in n 2.179 * [taylor]: Taking taylor expansion of 2/3 in n 2.179 * [backup-simplify]: Simplify 2/3 into 2/3 2.179 * [taylor]: Taking taylor expansion of (/ 1 (* E (pow n 3))) in n 2.179 * [taylor]: Taking taylor expansion of (* E (pow n 3)) in n 2.179 * [taylor]: Taking taylor expansion of E in n 2.179 * [backup-simplify]: Simplify E into E 2.179 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.179 * [taylor]: Taking taylor expansion of n in n 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [backup-simplify]: Simplify (* 1 1) into 1 2.179 * [backup-simplify]: Simplify (* 1 1) into 1 2.180 * [backup-simplify]: Simplify (* E 1) into E 2.180 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.183 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.184 * [backup-simplify]: Simplify (+ (* E 0) (* 0 1)) into 0 2.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 2.185 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (* 0 1))) into 0 2.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 2.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 2.187 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 E))))) into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.188 * [backup-simplify]: Simplify (/ 1 (exp (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 2.188 * [approximate]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in (f n) around 0 2.188 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 2.188 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 2.188 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.188 * [taylor]: Taking taylor expansion of -1 in n 2.188 * [backup-simplify]: Simplify -1 into -1 2.188 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.188 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.188 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.188 * [taylor]: Taking taylor expansion of f in n 2.188 * [backup-simplify]: Simplify f into f 2.188 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.188 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.188 * [taylor]: Taking taylor expansion of n in n 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 1 into 1 2.188 * [backup-simplify]: Simplify (/ 1 1) into 1 2.188 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.188 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.188 * [taylor]: Taking taylor expansion of n in n 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 1 into 1 2.188 * [backup-simplify]: Simplify (/ 1 1) into 1 2.188 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.188 * [taylor]: Taking taylor expansion of f in n 2.188 * [backup-simplify]: Simplify f into f 2.188 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.189 * [backup-simplify]: Simplify (+ 0 1) into 1 2.189 * [backup-simplify]: Simplify (+ 1 0) into 1 2.189 * [backup-simplify]: Simplify (/ 1 1) into 1 2.189 * [backup-simplify]: Simplify (* -1 1) into -1 2.190 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.190 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 2.190 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 2.190 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.190 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.190 * [taylor]: Taking taylor expansion of -1 in f 2.190 * [backup-simplify]: Simplify -1 into -1 2.190 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.190 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.190 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.190 * [taylor]: Taking taylor expansion of f in f 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify 1 into 1 2.191 * [backup-simplify]: Simplify (/ 1 1) into 1 2.191 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.191 * [taylor]: Taking taylor expansion of n in f 2.191 * [backup-simplify]: Simplify n into n 2.191 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.191 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.191 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.191 * [taylor]: Taking taylor expansion of n in f 2.191 * [backup-simplify]: Simplify n into n 2.191 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.191 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.191 * [taylor]: Taking taylor expansion of f in f 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify 1 into 1 2.191 * [backup-simplify]: Simplify (/ 1 1) into 1 2.191 * [backup-simplify]: Simplify (+ 1 0) into 1 2.191 * [backup-simplify]: Simplify (- 1) into -1 2.192 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.192 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.192 * [backup-simplify]: Simplify (* -1 -1) into 1 2.192 * [backup-simplify]: Simplify (exp 1) into E 2.193 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.193 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 2.193 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.193 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.193 * [taylor]: Taking taylor expansion of -1 in f 2.193 * [backup-simplify]: Simplify -1 into -1 2.193 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.193 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.193 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.193 * [taylor]: Taking taylor expansion of f in f 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify (/ 1 1) into 1 2.193 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.193 * [taylor]: Taking taylor expansion of n in f 2.193 * [backup-simplify]: Simplify n into n 2.193 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.193 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.193 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.193 * [taylor]: Taking taylor expansion of n in f 2.193 * [backup-simplify]: Simplify n into n 2.193 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.193 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.193 * [taylor]: Taking taylor expansion of f in f 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (/ 1 1) into 1 2.194 * [backup-simplify]: Simplify (+ 1 0) into 1 2.194 * [backup-simplify]: Simplify (- 1) into -1 2.194 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.195 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.195 * [backup-simplify]: Simplify (* -1 -1) into 1 2.195 * [backup-simplify]: Simplify (exp 1) into E 2.195 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.195 * [taylor]: Taking taylor expansion of (/ 1 E) in n 2.195 * [taylor]: Taking taylor expansion of E in n 2.195 * [backup-simplify]: Simplify E into E 2.196 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.196 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.196 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.197 * [backup-simplify]: Simplify (- 0) into 0 2.197 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.197 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.197 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.198 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 2.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 2.198 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (* E n)))) in n 2.198 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* E n))) in n 2.198 * [taylor]: Taking taylor expansion of 2 in n 2.198 * [backup-simplify]: Simplify 2 into 2 2.198 * [taylor]: Taking taylor expansion of (/ 1 (* E n)) in n 2.198 * [taylor]: Taking taylor expansion of (* E n) in n 2.198 * [taylor]: Taking taylor expansion of E in n 2.198 * [backup-simplify]: Simplify E into E 2.198 * [taylor]: Taking taylor expansion of n in n 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify (* E 0) into 0 2.199 * [backup-simplify]: Simplify (+ (* E 1) (* 0 0)) into E 2.200 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.200 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 1) (* 0 0))) into 0 2.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 2.201 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 E))) into 0 2.201 * [backup-simplify]: Simplify (- 0) into 0 2.201 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 2.202 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.203 * [backup-simplify]: Simplify (+ 0 0) into 0 2.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.204 * [backup-simplify]: Simplify (- 0) into 0 2.204 * [backup-simplify]: Simplify (+ 0 0) into 0 2.205 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.205 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.205 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 2.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 4 (/ E (pow n 2))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 2 (/ E n)) E)))) into 0 2.206 * [taylor]: Taking taylor expansion of 0 in n 2.206 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 2.208 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 E)))) into 0 2.208 * [backup-simplify]: Simplify (- 0) into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.210 * [backup-simplify]: Simplify (+ 0 0) into 0 2.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.211 * [backup-simplify]: Simplify (- 0) into 0 2.211 * [backup-simplify]: Simplify (+ 0 0) into 0 2.212 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.212 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 2.213 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 2.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 22/3 (/ E (pow n 3))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 4 (/ E (pow n 2))) E)) (* 0 (/ (* 2 (/ E n)) E)))) into (* 2/3 (/ 1 (* E (pow n 3)))) 2.214 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 (* E (pow n 3)))) in n 2.214 * [taylor]: Taking taylor expansion of 2/3 in n 2.214 * [backup-simplify]: Simplify 2/3 into 2/3 2.214 * [taylor]: Taking taylor expansion of (/ 1 (* E (pow n 3))) in n 2.214 * [taylor]: Taking taylor expansion of (* E (pow n 3)) in n 2.214 * [taylor]: Taking taylor expansion of E in n 2.214 * [backup-simplify]: Simplify E into E 2.214 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.214 * [taylor]: Taking taylor expansion of n in n 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [backup-simplify]: Simplify (* 1 1) into 1 2.214 * [backup-simplify]: Simplify (* 1 1) into 1 2.215 * [backup-simplify]: Simplify (* E 1) into E 2.215 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.218 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.219 * [backup-simplify]: Simplify (+ (* E 0) (* 0 1)) into 0 2.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 2.220 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (* 0 1))) into 0 2.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 2.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 2.222 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 E))))) into 0 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.222 * * * [progress]: simplifying candidates 2.225 * [simplify]: Simplifying: (expm1 (/ (+ f n) (- f n))) (log1p (/ (+ f n) (- f n))) (- (log (+ f n)) (log (- f n))) (log (/ (+ f n) (- f n))) (exp (/ (+ f n) (- f n))) (/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (/ (+ f n) (- f n))) (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (+ f n) (- f n))) (sqrt (/ (+ f n) (- f n))) (sqrt (/ (+ f n) (- f n))) (- (+ f n)) (- (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt 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(log (/ 1 (exp (/ (+ h0 h1) (- h0 h1))))) (exp (/ 1 (exp (/ (+ h0 h1) (- h0 h1))))) (/ (* (* 1 1) 1) (* (* (exp (/ (+ h0 h1) (- h0 h1))) (exp (/ (+ h0 h1) (- h0 h1)))) (exp (/ (+ h0 h1) (- h0 h1))))) (* (cbrt (/ 1 (exp (/ (+ h0 h1) (- h0 h1))))) (cbrt (/ 1 (exp (/ (+ h0 h1) (- h0 h1)))))) (cbrt (/ 1 (exp (/ (+ h0 h1) (- h0 h1))))) (* (* (/ 1 (exp (/ (+ h0 h1) (- h0 h1)))) (/ 1 (exp (/ (+ h0 h1) (- h0 h1))))) (/ 1 (exp (/ (+ h0 h1) (- h0 h1))))) (sqrt (/ 1 (exp (/ (+ h0 h1) (- h0 h1))))) (sqrt (/ 1 (exp (/ (+ h0 h1) (- h0 h1))))) (- 1) (- (exp (/ (+ h0 h1) (- h0 h1)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (exp (/ (+ h0 h1) (- h0 h1)))) (cbrt (exp (/ (+ h0 h1) (- h0 h1)))))) (/ (cbrt 1) (cbrt (exp (/ (+ h0 h1) (- h0 h1))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (exp (/ (+ h0 h1) (- h0 h1))))) (/ (cbrt 1) (sqrt (exp (/ (+ h0 h1) (- h0 h1))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (exp (/ (+ h0 h1) (- h0 h1)))) (/ (sqrt 1) (* (cbrt (exp (/ (+ h0 h1) (- h0 h1)))) (cbrt (exp (/ (+ h0 h1) (- h0 h1)))))) (/ (sqrt 1) (cbrt (exp (/ (+ h0 h1) (- h0 h1))))) (/ (sqrt 1) (sqrt (exp (/ (+ h0 h1) (- h0 h1))))) (/ (sqrt 1) (sqrt (exp (/ (+ h0 h1) (- h0 h1))))) (/ (sqrt 1) 1) (/ (sqrt 1) (exp (/ (+ h0 h1) (- h0 h1)))) (/ 1 (* (cbrt (exp (/ (+ h0 h1) (- h0 h1)))) (cbrt (exp (/ (+ h0 h1) (- h0 h1)))))) (/ 1 (cbrt (exp (/ (+ h0 h1) (- h0 h1))))) (/ 1 (sqrt (exp (/ (+ h0 h1) (- h0 h1))))) (/ 1 (sqrt (exp (/ (+ h0 h1) (- h0 h1))))) (/ 1 1) (/ 1 (exp (/ (+ h0 h1) (- h0 h1)))) (/ 1 (exp (/ (+ h0 h1) (- h0 h1)))) (/ (exp (/ (+ h0 h1) (- h0 h1))) 1) (/ 1 (* (cbrt (exp (/ (+ h0 h1) (- h0 h1)))) (cbrt (exp (/ (+ h0 h1) (- h0 h1)))))) (/ 1 (sqrt (exp (/ (+ h0 h1) (- h0 h1))))) (/ 1 1) (/ (exp (/ (+ h0 h1) (- h0 h1))) (cbrt 1)) (/ (exp (/ (+ h0 h1) (- h0 h1))) (sqrt 1)) (/ (exp (/ (+ h0 h1) (- h0 h1))) 1) -1 1 1 (log (/ 1 (exp -1))) (log (/ 1 h2)) (log (/ 1 h2)) (exp -1) h2 h2 (/ 1 (exp -1)) (/ 1 h2) (/ 1 h2) 2.232 * * [simplify]: iteration 0 : 406 enodes (cost 1295 ) 2.238 * * [simplify]: iteration 1 : 1130 enodes (cost 1203 ) 2.254 * * [simplify]: iteration 2 : 3677 enodes (cost 1150 ) 2.307 * * [simplify]: iteration 3 : 5002 enodes (cost 1144 ) 2.312 * * * [progress]: adding candidates to table 2.688 * * [progress]: iteration 4 / 4 2.688 * * * [progress]: picking best candidate 2.692 * * * * [pick]: Picked # 2.692 * * * [progress]: localizing error 2.704 * * * [progress]: generating rewritten candidates 2.704 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1) 2.728 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1) 2.754 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.819 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.895 * * * [progress]: generating series expansions 2.895 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1) 2.895 * [backup-simplify]: Simplify (/ (+ f n) (- f n)) into (/ (+ n f) (- f n)) 2.895 * [approximate]: Taking taylor expansion of (/ (+ n f) (- f n)) in (f n) around 0 2.895 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.895 * [taylor]: Taking taylor expansion of (+ n f) in n 2.895 * [taylor]: Taking taylor expansion of n in n 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 1 into 1 2.895 * [taylor]: Taking taylor expansion of f in n 2.895 * [backup-simplify]: Simplify f into f 2.895 * [taylor]: Taking taylor expansion of (- f n) in n 2.895 * [taylor]: Taking taylor expansion of f in n 2.895 * [backup-simplify]: Simplify f into f 2.895 * [taylor]: Taking taylor expansion of n in n 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 1 into 1 2.895 * [backup-simplify]: Simplify (+ 0 f) into f 2.896 * [backup-simplify]: Simplify (- 0) into 0 2.896 * [backup-simplify]: Simplify (+ f 0) into f 2.896 * [backup-simplify]: Simplify (/ f f) into 1 2.896 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.896 * [taylor]: Taking taylor expansion of (+ n f) in f 2.896 * [taylor]: Taking taylor expansion of n in f 2.896 * [backup-simplify]: Simplify n into n 2.896 * [taylor]: Taking taylor expansion of f in f 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [taylor]: Taking taylor expansion of (- f n) in f 2.896 * [taylor]: Taking taylor expansion of f in f 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [taylor]: Taking taylor expansion of n in f 2.896 * [backup-simplify]: Simplify n into n 2.896 * [backup-simplify]: Simplify (+ n 0) into n 2.896 * [backup-simplify]: Simplify (- n) into (- n) 2.896 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.896 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.896 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.896 * [taylor]: Taking taylor expansion of (+ n f) in f 2.896 * [taylor]: Taking taylor expansion of n in f 2.896 * [backup-simplify]: Simplify n into n 2.896 * [taylor]: Taking taylor expansion of f in f 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [taylor]: Taking taylor expansion of (- f n) in f 2.896 * [taylor]: Taking taylor expansion of f in f 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [taylor]: Taking taylor expansion of n in f 2.896 * [backup-simplify]: Simplify n into n 2.896 * [backup-simplify]: Simplify (+ n 0) into n 2.896 * [backup-simplify]: Simplify (- n) into (- n) 2.896 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.896 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.896 * [taylor]: Taking taylor expansion of -1 in n 2.896 * [backup-simplify]: Simplify -1 into -1 2.896 * [backup-simplify]: Simplify -1 into -1 2.897 * [backup-simplify]: Simplify (+ 0 1) into 1 2.897 * [backup-simplify]: Simplify (- 0) into 0 2.897 * [backup-simplify]: Simplify (+ 1 0) into 1 2.897 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.897 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.897 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.897 * [taylor]: Taking taylor expansion of 2 in n 2.897 * [backup-simplify]: Simplify 2 into 2 2.897 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.897 * [taylor]: Taking taylor expansion of n in n 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 1 into 1 2.898 * [backup-simplify]: Simplify (/ 1 1) into 1 2.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.898 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.899 * [backup-simplify]: Simplify (- 0) into 0 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify (+ 0 0) into 0 2.899 * [backup-simplify]: Simplify (- 0) into 0 2.899 * [backup-simplify]: Simplify (+ 0 0) into 0 2.900 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.900 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.900 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.900 * [taylor]: Taking taylor expansion of 2 in n 2.900 * [backup-simplify]: Simplify 2 into 2 2.900 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.900 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.900 * [taylor]: Taking taylor expansion of n in n 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 1 into 1 2.900 * [backup-simplify]: Simplify (* 1 1) into 1 2.900 * [backup-simplify]: Simplify (/ 1 1) into 1 2.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.902 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.903 * [backup-simplify]: Simplify (- 0) into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.904 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.904 * [backup-simplify]: Simplify (- 0) into 0 2.904 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify (+ 0 0) into 0 2.904 * [backup-simplify]: Simplify (- 0) into 0 2.904 * [backup-simplify]: Simplify (+ 0 0) into 0 2.905 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 2.905 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.905 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.905 * [taylor]: Taking taylor expansion of 2 in n 2.905 * [backup-simplify]: Simplify 2 into 2 2.905 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.905 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.905 * [taylor]: Taking taylor expansion of n in n 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify 1 into 1 2.905 * [backup-simplify]: Simplify (* 1 1) into 1 2.905 * [backup-simplify]: Simplify (* 1 1) into 1 2.906 * [backup-simplify]: Simplify (/ 1 1) into 1 2.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.910 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.911 * [backup-simplify]: Simplify (- 0) into 0 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify -1 into -1 2.911 * [backup-simplify]: Simplify (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 2.911 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in (f n) around 0 2.911 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.911 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.911 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.911 * [taylor]: Taking taylor expansion of f in n 2.911 * [backup-simplify]: Simplify f into f 2.911 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.911 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.911 * [taylor]: Taking taylor expansion of n in n 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.911 * [backup-simplify]: Simplify (/ 1 1) into 1 2.911 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.911 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.911 * [taylor]: Taking taylor expansion of f in n 2.911 * [backup-simplify]: Simplify f into f 2.911 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.911 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.911 * [taylor]: Taking taylor expansion of n in n 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (/ 1 1) into 1 2.912 * [backup-simplify]: Simplify (+ 0 1) into 1 2.912 * [backup-simplify]: Simplify (- 1) into -1 2.912 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.913 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.913 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.913 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.913 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.913 * [taylor]: Taking taylor expansion of f in f 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (/ 1 1) into 1 2.913 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.913 * [taylor]: Taking taylor expansion of n in f 2.913 * [backup-simplify]: Simplify n into n 2.913 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.913 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.913 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.913 * [taylor]: Taking taylor expansion of f in f 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (/ 1 1) into 1 2.913 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.913 * [taylor]: Taking taylor expansion of n in f 2.913 * [backup-simplify]: Simplify n into n 2.913 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.914 * [backup-simplify]: Simplify (+ 1 0) into 1 2.914 * [backup-simplify]: Simplify (+ 1 0) into 1 2.914 * [backup-simplify]: Simplify (/ 1 1) into 1 2.914 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.914 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.914 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.914 * [taylor]: Taking taylor expansion of f in f 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.914 * [backup-simplify]: Simplify (/ 1 1) into 1 2.915 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.915 * [taylor]: Taking taylor expansion of n in f 2.915 * [backup-simplify]: Simplify n into n 2.915 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.915 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.915 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.915 * [taylor]: Taking taylor expansion of f in f 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 1 into 1 2.915 * [backup-simplify]: Simplify (/ 1 1) into 1 2.915 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.915 * [taylor]: Taking taylor expansion of n in f 2.915 * [backup-simplify]: Simplify n into n 2.915 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.915 * [backup-simplify]: Simplify (+ 1 0) into 1 2.915 * [backup-simplify]: Simplify (+ 1 0) into 1 2.916 * [backup-simplify]: Simplify (/ 1 1) into 1 2.916 * [taylor]: Taking taylor expansion of 1 in n 2.916 * [backup-simplify]: Simplify 1 into 1 2.916 * [backup-simplify]: Simplify 1 into 1 2.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.916 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.917 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.917 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.917 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.917 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.917 * [taylor]: Taking taylor expansion of 2 in n 2.917 * [backup-simplify]: Simplify 2 into 2 2.917 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.917 * [taylor]: Taking taylor expansion of n in n 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 1 into 1 2.917 * [backup-simplify]: Simplify (/ 1 1) into 1 2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.918 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.919 * [backup-simplify]: Simplify (+ 0 0) into 0 2.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.920 * [backup-simplify]: Simplify (- 0) into 0 2.920 * [backup-simplify]: Simplify (+ 0 0) into 0 2.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.920 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.920 * [taylor]: Taking taylor expansion of 2 in n 2.921 * [backup-simplify]: Simplify 2 into 2 2.921 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.921 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.921 * [taylor]: Taking taylor expansion of n in n 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 1 into 1 2.921 * [backup-simplify]: Simplify (* 1 1) into 1 2.921 * [backup-simplify]: Simplify (/ 1 1) into 1 2.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.927 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.929 * [backup-simplify]: Simplify (+ 0 0) into 0 2.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.930 * [backup-simplify]: Simplify (- 0) into 0 2.930 * [backup-simplify]: Simplify (+ 0 0) into 0 2.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 2.931 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.931 * [taylor]: Taking taylor expansion of 2 in n 2.931 * [backup-simplify]: Simplify 2 into 2 2.931 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.931 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.931 * [taylor]: Taking taylor expansion of n in n 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify 1 into 1 2.931 * [backup-simplify]: Simplify (* 1 1) into 1 2.931 * [backup-simplify]: Simplify (* 1 1) into 1 2.932 * [backup-simplify]: Simplify (/ 1 1) into 1 2.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.936 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 1 into 1 2.936 * [backup-simplify]: Simplify (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 2.936 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 2.937 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.937 * [taylor]: Taking taylor expansion of -1 in n 2.937 * [backup-simplify]: Simplify -1 into -1 2.937 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.937 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.937 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.937 * [taylor]: Taking taylor expansion of f in n 2.937 * [backup-simplify]: Simplify f into f 2.937 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.937 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.937 * [taylor]: Taking taylor expansion of n in n 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [backup-simplify]: Simplify (/ 1 1) into 1 2.937 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.937 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.937 * [taylor]: Taking taylor expansion of n in n 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [backup-simplify]: Simplify (/ 1 1) into 1 2.937 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.937 * [taylor]: Taking taylor expansion of f in n 2.937 * [backup-simplify]: Simplify f into f 2.937 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.938 * [backup-simplify]: Simplify (+ 0 1) into 1 2.938 * [backup-simplify]: Simplify (+ 1 0) into 1 2.938 * [backup-simplify]: Simplify (/ 1 1) into 1 2.938 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.938 * [taylor]: Taking taylor expansion of -1 in f 2.938 * [backup-simplify]: Simplify -1 into -1 2.938 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.938 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.938 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.938 * [taylor]: Taking taylor expansion of f in f 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.938 * [backup-simplify]: Simplify (/ 1 1) into 1 2.938 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.938 * [taylor]: Taking taylor expansion of n in f 2.938 * [backup-simplify]: Simplify n into n 2.939 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.939 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.939 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.939 * [taylor]: Taking taylor expansion of n in f 2.939 * [backup-simplify]: Simplify n into n 2.939 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.939 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.939 * [taylor]: Taking taylor expansion of f in f 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (/ 1 1) into 1 2.939 * [backup-simplify]: Simplify (+ 1 0) into 1 2.939 * [backup-simplify]: Simplify (- 1) into -1 2.940 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.940 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.940 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.940 * [taylor]: Taking taylor expansion of -1 in f 2.940 * [backup-simplify]: Simplify -1 into -1 2.940 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.940 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.940 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.940 * [taylor]: Taking taylor expansion of f in f 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify 1 into 1 2.940 * [backup-simplify]: Simplify (/ 1 1) into 1 2.940 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.940 * [taylor]: Taking taylor expansion of n in f 2.940 * [backup-simplify]: Simplify n into n 2.940 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.940 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.940 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.940 * [taylor]: Taking taylor expansion of n in f 2.940 * [backup-simplify]: Simplify n into n 2.940 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.940 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.940 * [taylor]: Taking taylor expansion of f in f 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify 1 into 1 2.941 * [backup-simplify]: Simplify (/ 1 1) into 1 2.941 * [backup-simplify]: Simplify (+ 1 0) into 1 2.941 * [backup-simplify]: Simplify (- 1) into -1 2.941 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.942 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.942 * [backup-simplify]: Simplify (* -1 -1) into 1 2.942 * [taylor]: Taking taylor expansion of 1 in n 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.943 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.943 * [backup-simplify]: Simplify (- 0) into 0 2.943 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.943 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.944 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.944 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.944 * [taylor]: Taking taylor expansion of 2 in n 2.944 * [backup-simplify]: Simplify 2 into 2 2.944 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.944 * [taylor]: Taking taylor expansion of n in n 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 1 into 1 2.944 * [backup-simplify]: Simplify (/ 1 1) into 1 2.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.945 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.946 * [backup-simplify]: Simplify (+ 0 0) into 0 2.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.946 * [backup-simplify]: Simplify (- 0) into 0 2.947 * [backup-simplify]: Simplify (+ 0 0) into 0 2.947 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.948 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.948 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.948 * [taylor]: Taking taylor expansion of 2 in n 2.948 * [backup-simplify]: Simplify 2 into 2 2.948 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.948 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.948 * [taylor]: Taking taylor expansion of n in n 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify 1 into 1 2.948 * [backup-simplify]: Simplify (* 1 1) into 1 2.948 * [backup-simplify]: Simplify (/ 1 1) into 1 2.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.950 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.952 * [backup-simplify]: Simplify (+ 0 0) into 0 2.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.953 * [backup-simplify]: Simplify (- 0) into 0 2.953 * [backup-simplify]: Simplify (+ 0 0) into 0 2.954 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.955 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 2.955 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.955 * [taylor]: Taking taylor expansion of 2 in n 2.955 * [backup-simplify]: Simplify 2 into 2 2.955 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.955 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.955 * [taylor]: Taking taylor expansion of n in n 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 1 into 1 2.955 * [backup-simplify]: Simplify (* 1 1) into 1 2.955 * [backup-simplify]: Simplify (* 1 1) into 1 2.956 * [backup-simplify]: Simplify (/ 1 1) into 1 2.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.961 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.961 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1) 2.961 * [backup-simplify]: Simplify (/ (+ f n) (- f n)) into (/ (+ n f) (- f n)) 2.961 * [approximate]: Taking taylor expansion of (/ (+ n f) (- f n)) in (f n) around 0 2.961 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.961 * [taylor]: Taking taylor expansion of (+ n f) in n 2.961 * [taylor]: Taking taylor expansion of n in n 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.961 * [taylor]: Taking taylor expansion of f in n 2.961 * [backup-simplify]: Simplify f into f 2.961 * [taylor]: Taking taylor expansion of (- f n) in n 2.961 * [taylor]: Taking taylor expansion of f in n 2.961 * [backup-simplify]: Simplify f into f 2.961 * [taylor]: Taking taylor expansion of n in n 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.961 * [backup-simplify]: Simplify (+ 0 f) into f 2.961 * [backup-simplify]: Simplify (- 0) into 0 2.961 * [backup-simplify]: Simplify (+ f 0) into f 2.961 * [backup-simplify]: Simplify (/ f f) into 1 2.961 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.961 * [taylor]: Taking taylor expansion of (+ n f) in f 2.961 * [taylor]: Taking taylor expansion of n in f 2.961 * [backup-simplify]: Simplify n into n 2.961 * [taylor]: Taking taylor expansion of f in f 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.961 * [taylor]: Taking taylor expansion of (- f n) in f 2.961 * [taylor]: Taking taylor expansion of f in f 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.962 * [taylor]: Taking taylor expansion of n in f 2.962 * [backup-simplify]: Simplify n into n 2.962 * [backup-simplify]: Simplify (+ n 0) into n 2.962 * [backup-simplify]: Simplify (- n) into (- n) 2.962 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.962 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.962 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.962 * [taylor]: Taking taylor expansion of (+ n f) in f 2.962 * [taylor]: Taking taylor expansion of n in f 2.962 * [backup-simplify]: Simplify n into n 2.962 * [taylor]: Taking taylor expansion of f in f 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [taylor]: Taking taylor expansion of (- f n) in f 2.962 * [taylor]: Taking taylor expansion of f in f 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [taylor]: Taking taylor expansion of n in f 2.962 * [backup-simplify]: Simplify n into n 2.962 * [backup-simplify]: Simplify (+ n 0) into n 2.962 * [backup-simplify]: Simplify (- n) into (- n) 2.962 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.962 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.962 * [taylor]: Taking taylor expansion of -1 in n 2.962 * [backup-simplify]: Simplify -1 into -1 2.962 * [backup-simplify]: Simplify -1 into -1 2.962 * [backup-simplify]: Simplify (+ 0 1) into 1 2.963 * [backup-simplify]: Simplify (- 0) into 0 2.963 * [backup-simplify]: Simplify (+ 1 0) into 1 2.963 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.963 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.963 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.963 * [taylor]: Taking taylor expansion of 2 in n 2.963 * [backup-simplify]: Simplify 2 into 2 2.963 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.963 * [taylor]: Taking taylor expansion of n in n 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (/ 1 1) into 1 2.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.964 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.964 * [backup-simplify]: Simplify (- 0) into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify (+ 0 0) into 0 2.965 * [backup-simplify]: Simplify (- 0) into 0 2.965 * [backup-simplify]: Simplify (+ 0 0) into 0 2.965 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.965 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.965 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.965 * [taylor]: Taking taylor expansion of 2 in n 2.965 * [backup-simplify]: Simplify 2 into 2 2.965 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.965 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.965 * [taylor]: Taking taylor expansion of n in n 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.966 * [backup-simplify]: Simplify (* 1 1) into 1 2.966 * [backup-simplify]: Simplify (/ 1 1) into 1 2.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.968 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.968 * [backup-simplify]: Simplify (- 0) into 0 2.968 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.969 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.969 * [backup-simplify]: Simplify (- 0) into 0 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify (+ 0 0) into 0 2.970 * [backup-simplify]: Simplify (- 0) into 0 2.970 * [backup-simplify]: Simplify (+ 0 0) into 0 2.971 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 2.971 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.971 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.971 * [taylor]: Taking taylor expansion of 2 in n 2.971 * [backup-simplify]: Simplify 2 into 2 2.971 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.971 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.971 * [taylor]: Taking taylor expansion of n in n 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 1 into 1 2.971 * [backup-simplify]: Simplify (* 1 1) into 1 2.971 * [backup-simplify]: Simplify (* 1 1) into 1 2.971 * [backup-simplify]: Simplify (/ 1 1) into 1 2.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.976 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.976 * [backup-simplify]: Simplify (- 0) into 0 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify -1 into -1 2.976 * [backup-simplify]: Simplify (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 2.976 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in (f n) around 0 2.976 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.976 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.976 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.976 * [taylor]: Taking taylor expansion of f in n 2.976 * [backup-simplify]: Simplify f into f 2.977 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.977 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.977 * [taylor]: Taking taylor expansion of n in n 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 1 into 1 2.977 * [backup-simplify]: Simplify (/ 1 1) into 1 2.977 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.977 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.977 * [taylor]: Taking taylor expansion of f in n 2.977 * [backup-simplify]: Simplify f into f 2.977 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.977 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.977 * [taylor]: Taking taylor expansion of n in n 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 1 into 1 2.977 * [backup-simplify]: Simplify (/ 1 1) into 1 2.977 * [backup-simplify]: Simplify (+ 0 1) into 1 2.978 * [backup-simplify]: Simplify (- 1) into -1 2.978 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.978 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.978 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.978 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.978 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.978 * [taylor]: Taking taylor expansion of f in f 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (/ 1 1) into 1 2.978 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.979 * [taylor]: Taking taylor expansion of n in f 2.979 * [backup-simplify]: Simplify n into n 2.979 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.979 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.979 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.979 * [taylor]: Taking taylor expansion of f in f 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.979 * [backup-simplify]: Simplify (/ 1 1) into 1 2.979 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.979 * [taylor]: Taking taylor expansion of n in f 2.979 * [backup-simplify]: Simplify n into n 2.979 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.979 * [backup-simplify]: Simplify (+ 1 0) into 1 2.979 * [backup-simplify]: Simplify (+ 1 0) into 1 2.980 * [backup-simplify]: Simplify (/ 1 1) into 1 2.980 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.980 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.980 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.980 * [taylor]: Taking taylor expansion of f in f 2.980 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (/ 1 1) into 1 2.980 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.980 * [taylor]: Taking taylor expansion of n in f 2.980 * [backup-simplify]: Simplify n into n 2.980 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.980 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.980 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.980 * [taylor]: Taking taylor expansion of f in f 2.980 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (/ 1 1) into 1 2.980 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.980 * [taylor]: Taking taylor expansion of n in f 2.980 * [backup-simplify]: Simplify n into n 2.980 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.981 * [backup-simplify]: Simplify (+ 1 0) into 1 2.981 * [backup-simplify]: Simplify (+ 1 0) into 1 2.981 * [backup-simplify]: Simplify (/ 1 1) into 1 2.981 * [taylor]: Taking taylor expansion of 1 in n 2.981 * [backup-simplify]: Simplify 1 into 1 2.981 * [backup-simplify]: Simplify 1 into 1 2.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.982 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.982 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.982 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.982 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.982 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.982 * [taylor]: Taking taylor expansion of 2 in n 2.982 * [backup-simplify]: Simplify 2 into 2 2.982 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.982 * [taylor]: Taking taylor expansion of n in n 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify 1 into 1 2.983 * [backup-simplify]: Simplify (/ 1 1) into 1 2.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.984 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.984 * [backup-simplify]: Simplify (+ 0 0) into 0 2.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.985 * [backup-simplify]: Simplify (- 0) into 0 2.985 * [backup-simplify]: Simplify (+ 0 0) into 0 2.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.986 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.986 * [taylor]: Taking taylor expansion of 2 in n 2.986 * [backup-simplify]: Simplify 2 into 2 2.986 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.986 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.986 * [taylor]: Taking taylor expansion of n in n 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [backup-simplify]: Simplify (* 1 1) into 1 2.987 * [backup-simplify]: Simplify (/ 1 1) into 1 2.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.989 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.990 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.991 * [backup-simplify]: Simplify (+ 0 0) into 0 2.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.991 * [backup-simplify]: Simplify (- 0) into 0 2.992 * [backup-simplify]: Simplify (+ 0 0) into 0 2.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 2.993 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.993 * [taylor]: Taking taylor expansion of 2 in n 2.993 * [backup-simplify]: Simplify 2 into 2 2.993 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.993 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.993 * [taylor]: Taking taylor expansion of n in n 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 1 into 1 2.993 * [backup-simplify]: Simplify (* 1 1) into 1 2.993 * [backup-simplify]: Simplify (* 1 1) into 1 2.993 * [backup-simplify]: Simplify (/ 1 1) into 1 2.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.998 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 1 into 1 2.998 * [backup-simplify]: Simplify (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 2.998 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 2.998 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.998 * [taylor]: Taking taylor expansion of -1 in n 2.998 * [backup-simplify]: Simplify -1 into -1 2.998 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.998 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.998 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.998 * [taylor]: Taking taylor expansion of f in n 2.998 * [backup-simplify]: Simplify f into f 2.999 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.999 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.999 * [taylor]: Taking taylor expansion of n in n 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 2.999 * [backup-simplify]: Simplify (/ 1 1) into 1 2.999 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.999 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.999 * [taylor]: Taking taylor expansion of n in n 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 2.999 * [backup-simplify]: Simplify (/ 1 1) into 1 2.999 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.999 * [taylor]: Taking taylor expansion of f in n 2.999 * [backup-simplify]: Simplify f into f 2.999 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.999 * [backup-simplify]: Simplify (+ 0 1) into 1 3.000 * [backup-simplify]: Simplify (+ 1 0) into 1 3.000 * [backup-simplify]: Simplify (/ 1 1) into 1 3.000 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.000 * [taylor]: Taking taylor expansion of -1 in f 3.000 * [backup-simplify]: Simplify -1 into -1 3.000 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.000 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.000 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.000 * [taylor]: Taking taylor expansion of f in f 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 1 into 1 3.000 * [backup-simplify]: Simplify (/ 1 1) into 1 3.000 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.000 * [taylor]: Taking taylor expansion of n in f 3.000 * [backup-simplify]: Simplify n into n 3.000 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.000 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.000 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.000 * [taylor]: Taking taylor expansion of n in f 3.000 * [backup-simplify]: Simplify n into n 3.000 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.000 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.000 * [taylor]: Taking taylor expansion of f in f 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 1 into 1 3.001 * [backup-simplify]: Simplify (/ 1 1) into 1 3.001 * [backup-simplify]: Simplify (+ 1 0) into 1 3.001 * [backup-simplify]: Simplify (- 1) into -1 3.001 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.002 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.002 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.002 * [taylor]: Taking taylor expansion of -1 in f 3.002 * [backup-simplify]: Simplify -1 into -1 3.002 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.002 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.002 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.002 * [taylor]: Taking taylor expansion of f in f 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 1 into 1 3.002 * [backup-simplify]: Simplify (/ 1 1) into 1 3.002 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.002 * [taylor]: Taking taylor expansion of n in f 3.002 * [backup-simplify]: Simplify n into n 3.002 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.002 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.002 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.002 * [taylor]: Taking taylor expansion of n in f 3.002 * [backup-simplify]: Simplify n into n 3.002 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.002 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.002 * [taylor]: Taking taylor expansion of f in f 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 1 into 1 3.002 * [backup-simplify]: Simplify (/ 1 1) into 1 3.003 * [backup-simplify]: Simplify (+ 1 0) into 1 3.003 * [backup-simplify]: Simplify (- 1) into -1 3.003 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.003 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.004 * [backup-simplify]: Simplify (* -1 -1) into 1 3.004 * [taylor]: Taking taylor expansion of 1 in n 3.004 * [backup-simplify]: Simplify 1 into 1 3.004 * [backup-simplify]: Simplify 1 into 1 3.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.005 * [backup-simplify]: Simplify (- 0) into 0 3.005 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.005 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.005 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.005 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.005 * [taylor]: Taking taylor expansion of 2 in n 3.005 * [backup-simplify]: Simplify 2 into 2 3.005 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.005 * [taylor]: Taking taylor expansion of n in n 3.005 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify 1 into 1 3.006 * [backup-simplify]: Simplify (/ 1 1) into 1 3.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.006 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.007 * [backup-simplify]: Simplify (+ 0 0) into 0 3.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.008 * [backup-simplify]: Simplify (- 0) into 0 3.008 * [backup-simplify]: Simplify (+ 0 0) into 0 3.009 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.009 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.009 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.009 * [taylor]: Taking taylor expansion of 2 in n 3.009 * [backup-simplify]: Simplify 2 into 2 3.009 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.009 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.009 * [taylor]: Taking taylor expansion of n in n 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify 1 into 1 3.010 * [backup-simplify]: Simplify (* 1 1) into 1 3.010 * [backup-simplify]: Simplify (/ 1 1) into 1 3.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.012 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.013 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.014 * [backup-simplify]: Simplify (+ 0 0) into 0 3.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.017 * [backup-simplify]: Simplify (- 0) into 0 3.017 * [backup-simplify]: Simplify (+ 0 0) into 0 3.019 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.019 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 3.019 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.019 * [taylor]: Taking taylor expansion of 2 in n 3.019 * [backup-simplify]: Simplify 2 into 2 3.019 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.019 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.019 * [taylor]: Taking taylor expansion of n in n 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify 1 into 1 3.019 * [backup-simplify]: Simplify (* 1 1) into 1 3.020 * [backup-simplify]: Simplify (* 1 1) into 1 3.020 * [backup-simplify]: Simplify (/ 1 1) into 1 3.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.025 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.025 * [backup-simplify]: Simplify (log (/ 1 (sqrt (exp (/ (+ f n) (- f n)))))) into (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) 3.025 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) in (f n) around 0 3.025 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) in n 3.025 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ n f) (- f n))))) in n 3.025 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in n 3.025 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in n 3.025 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.025 * [taylor]: Taking taylor expansion of (+ n f) in n 3.025 * [taylor]: Taking taylor expansion of n in n 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * [taylor]: Taking taylor expansion of f in n 3.025 * [backup-simplify]: Simplify f into f 3.025 * [taylor]: Taking taylor expansion of (- f n) in n 3.025 * [taylor]: Taking taylor expansion of f in n 3.025 * [backup-simplify]: Simplify f into f 3.025 * [taylor]: Taking taylor expansion of n in n 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (+ 0 f) into f 3.025 * [backup-simplify]: Simplify (- 0) into 0 3.025 * [backup-simplify]: Simplify (+ f 0) into f 3.025 * [backup-simplify]: Simplify (/ f f) into 1 3.025 * [backup-simplify]: Simplify (exp 1) into E 3.026 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.027 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.027 * [backup-simplify]: Simplify (+ 1 0) into 1 3.027 * [backup-simplify]: Simplify (- 1) into -1 3.027 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.027 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 3.028 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 f)) 1) 1)))) into (* 2 (/ E f)) 3.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E f)) E)))) into (- (* 2 (/ 1 (* E f)))) 3.029 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E f)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 f))) 3.030 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.030 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) in f 3.030 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ n f) (- f n))))) in f 3.030 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in f 3.030 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 3.030 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.030 * [taylor]: Taking taylor expansion of (+ n f) in f 3.030 * [taylor]: Taking taylor expansion of n in f 3.030 * [backup-simplify]: Simplify n into n 3.030 * [taylor]: Taking taylor expansion of f in f 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 1 into 1 3.030 * [taylor]: Taking taylor expansion of (- f n) in f 3.030 * [taylor]: Taking taylor expansion of f in f 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 1 into 1 3.030 * [taylor]: Taking taylor expansion of n in f 3.030 * [backup-simplify]: Simplify n into n 3.030 * [backup-simplify]: Simplify (+ n 0) into n 3.030 * [backup-simplify]: Simplify (- n) into (- n) 3.030 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.031 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.031 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.031 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 3.032 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 3.032 * [backup-simplify]: Simplify (+ 0 1) into 1 3.033 * [backup-simplify]: Simplify (- 0) into 0 3.033 * [backup-simplify]: Simplify (+ 1 0) into 1 3.033 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.033 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) n))) 3.036 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (* (exp -1) n))) (* 2 (sqrt (/ 1 (exp -1))))) into (* (sqrt (/ 1 (exp -1))) (/ 1 n)) 3.037 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.037 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) in f 3.037 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ n f) (- f n))))) in f 3.037 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in f 3.037 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 3.037 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.037 * [taylor]: Taking taylor expansion of (+ n f) in f 3.037 * [taylor]: Taking taylor expansion of n in f 3.037 * [backup-simplify]: Simplify n into n 3.037 * [taylor]: Taking taylor expansion of f in f 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [taylor]: Taking taylor expansion of (- f n) in f 3.037 * [taylor]: Taking taylor expansion of f in f 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [taylor]: Taking taylor expansion of n in f 3.037 * [backup-simplify]: Simplify n into n 3.037 * [backup-simplify]: Simplify (+ n 0) into n 3.037 * [backup-simplify]: Simplify (- n) into (- n) 3.037 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.038 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.038 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.038 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 3.039 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 3.039 * [backup-simplify]: Simplify (+ 0 1) into 1 3.040 * [backup-simplify]: Simplify (- 0) into 0 3.040 * [backup-simplify]: Simplify (+ 1 0) into 1 3.040 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.040 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) n))) 3.043 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (* (exp -1) n))) (* 2 (sqrt (/ 1 (exp -1))))) into (* (sqrt (/ 1 (exp -1))) (/ 1 n)) 3.044 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.044 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp -1)))) in n 3.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp -1))) in n 3.044 * [taylor]: Taking taylor expansion of (/ 1 (exp -1)) in n 3.044 * [taylor]: Taking taylor expansion of (exp -1) in n 3.044 * [taylor]: Taking taylor expansion of -1 in n 3.044 * [backup-simplify]: Simplify -1 into -1 3.044 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.045 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 3.046 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 3.046 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))))) into 0 3.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (exp -1))))) into 0 3.049 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.050 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.052 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* (sqrt (/ 1 (exp -1))) (/ 1 n))) 1)) (pow (sqrt (/ 1 (exp -1))) 1)))) 1) into (/ 1 n) 3.052 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.052 * [taylor]: Taking taylor expansion of n in n 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 1 into 1 3.053 * [backup-simplify]: Simplify (/ 1 1) into 1 3.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.053 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (/ 1 (exp -1))) 1)))) 1) into 0 3.054 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify (+ 0 0) into 0 3.055 * [backup-simplify]: Simplify (- 0) into 0 3.055 * [backup-simplify]: Simplify (+ 0 0) into 0 3.055 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.056 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 3.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* (* 2 (/ 1 (* (exp -1) n))) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 4 (/ 1 (* (exp -1) (pow n 2)))) 3.060 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (* (exp -1) (pow n 2)))) (pow (* (sqrt (/ 1 (exp -1))) (/ 1 n)) 2) (+)) (* 2 (sqrt (/ 1 (exp -1))))) into (* 3/2 (* (sqrt (/ 1 (exp -1))) (/ 1 (pow n 2)))) 3.065 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* (sqrt (/ 1 (exp -1))) (/ 1 n))) 2)) (pow (sqrt (/ 1 (exp -1))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 3/2 (* (sqrt (/ 1 (exp -1))) (/ 1 (pow n 2))))) 1)) (pow (sqrt (/ 1 (exp -1))) 1)))) 2) into (/ 1 (pow n 2)) 3.065 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.065 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.065 * [taylor]: Taking taylor expansion of n in n 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 1 into 1 3.065 * [backup-simplify]: Simplify (* 1 1) into 1 3.065 * [backup-simplify]: Simplify (/ 1 1) into 1 3.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.067 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.068 * [backup-simplify]: Simplify 0 into 0 3.069 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* 0 (/ 0 (exp -1))))) into 0 3.070 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (exp -1))))) into 0 3.072 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (/ 1 (exp -1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (/ 1 (exp -1))) 1)))) 2) into 0 3.072 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify (+ 0 0) into 0 3.072 * [backup-simplify]: Simplify (- 0) into 0 3.073 * [backup-simplify]: Simplify (+ 0 0) into 0 3.073 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 3.074 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 3.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* 2/3 (/ (exp -1) (pow n 3))) (exp -1))) (* (* 2 (/ 1 (* (exp -1) n))) (/ 0 (exp -1))) (* (* 4 (/ 1 (* (exp -1) (pow n 2)))) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 22/3 (/ 1 (* (exp -1) (pow n 3)))) 3.080 * [backup-simplify]: Simplify (/ (- (* 22/3 (/ 1 (* (exp -1) (pow n 3)))) (+ (* 2 (* (* (sqrt (/ 1 (exp -1))) (/ 1 n)) (* 3/2 (* (sqrt (/ 1 (exp -1))) (/ 1 (pow n 2)))))))) (* 2 (sqrt (/ 1 (exp -1))))) into (* 13/6 (* (sqrt (/ 1 (exp -1))) (/ 1 (pow n 3)))) 3.088 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* (sqrt (/ 1 (exp -1))) (/ 1 n))) 3)) (pow (sqrt (/ 1 (exp -1))) 3))) (* -3 (/ (* (pow (* 1 (* (sqrt (/ 1 (exp -1))) (/ 1 n))) 1) (pow (* 2 (* 3/2 (* (sqrt (/ 1 (exp -1))) (/ 1 (pow n 2))))) 1)) (pow (sqrt (/ 1 (exp -1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 13/6 (* (sqrt (/ 1 (exp -1))) (/ 1 (pow n 3))))) 1)) (pow (sqrt (/ 1 (exp -1))) 1)))) 6) into (/ 1 (pow n 3)) 3.088 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.088 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.088 * [taylor]: Taking taylor expansion of n in n 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 1 into 1 3.088 * [backup-simplify]: Simplify (* 1 1) into 1 3.088 * [backup-simplify]: Simplify (* 1 1) into 1 3.088 * [backup-simplify]: Simplify (/ 1 1) into 1 3.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.094 * [backup-simplify]: Simplify (log (/ 1 (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) into (log (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 3.094 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in (f n) around 0 3.094 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in n 3.094 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 3.094 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 3.094 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.094 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.094 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.094 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.094 * [taylor]: Taking taylor expansion of f in n 3.094 * [backup-simplify]: Simplify f into f 3.094 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.094 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.094 * [taylor]: Taking taylor expansion of n in n 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 1 into 1 3.094 * [backup-simplify]: Simplify (/ 1 1) into 1 3.094 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.095 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.095 * [taylor]: Taking taylor expansion of f in n 3.095 * [backup-simplify]: Simplify f into f 3.095 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.095 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.095 * [taylor]: Taking taylor expansion of n in n 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify 1 into 1 3.095 * [backup-simplify]: Simplify (/ 1 1) into 1 3.095 * [backup-simplify]: Simplify (+ 0 1) into 1 3.095 * [backup-simplify]: Simplify (- 1) into -1 3.096 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.096 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.096 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.097 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 3.097 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 3.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.098 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 3.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.098 * [backup-simplify]: Simplify (- 0) into 0 3.099 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 3.099 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 3.099 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 f))) 1) 1)))) into (* -2 (/ (exp -1) f)) 3.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) f)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) f))) 3.102 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (* (exp -1) f))) (* 2 (sqrt (/ 1 (exp -1))))) into (* (sqrt (/ 1 (exp -1))) (/ 1 f)) 3.106 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.106 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in f 3.106 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 3.106 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.106 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.106 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.106 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.106 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.106 * [taylor]: Taking taylor expansion of f in f 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.107 * [backup-simplify]: Simplify (/ 1 1) into 1 3.107 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.107 * [taylor]: Taking taylor expansion of n in f 3.107 * [backup-simplify]: Simplify n into n 3.107 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.107 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.107 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.107 * [taylor]: Taking taylor expansion of f in f 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 1 into 1 3.107 * [backup-simplify]: Simplify (/ 1 1) into 1 3.107 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.107 * [taylor]: Taking taylor expansion of n in f 3.107 * [backup-simplify]: Simplify n into n 3.107 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.107 * [backup-simplify]: Simplify (+ 1 0) into 1 3.108 * [backup-simplify]: Simplify (+ 1 0) into 1 3.108 * [backup-simplify]: Simplify (/ 1 1) into 1 3.108 * [backup-simplify]: Simplify (exp 1) into E 3.108 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.109 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.109 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.110 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.110 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.110 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.110 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 3.112 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E n)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 3.113 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.113 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in f 3.113 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 3.113 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.113 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.113 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.113 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.113 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.113 * [taylor]: Taking taylor expansion of f in f 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (/ 1 1) into 1 3.113 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.113 * [taylor]: Taking taylor expansion of n in f 3.113 * [backup-simplify]: Simplify n into n 3.113 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.113 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.113 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.113 * [taylor]: Taking taylor expansion of f in f 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 1 into 1 3.114 * [backup-simplify]: Simplify (/ 1 1) into 1 3.114 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.114 * [taylor]: Taking taylor expansion of n in f 3.114 * [backup-simplify]: Simplify n into n 3.114 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.114 * [backup-simplify]: Simplify (+ 1 0) into 1 3.114 * [backup-simplify]: Simplify (+ 1 0) into 1 3.114 * [backup-simplify]: Simplify (/ 1 1) into 1 3.114 * [backup-simplify]: Simplify (exp 1) into E 3.115 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.115 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.116 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.116 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.116 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.116 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.117 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 3.118 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E n)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 3.119 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.119 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 E))) in n 3.119 * [taylor]: Taking taylor expansion of (sqrt (/ 1 E)) in n 3.119 * [taylor]: Taking taylor expansion of (/ 1 E) in n 3.119 * [taylor]: Taking taylor expansion of E in n 3.119 * [backup-simplify]: Simplify E into E 3.119 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.120 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 3.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 E)))) into 0 3.122 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.123 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 1)) (pow (sqrt (/ 1 E)) 1)))) 1) into (/ -1 n) 3.125 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.125 * [taylor]: Taking taylor expansion of -1 in n 3.125 * [backup-simplify]: Simplify -1 into -1 3.125 * [taylor]: Taking taylor expansion of n in n 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify 1 into 1 3.125 * [backup-simplify]: Simplify (/ -1 1) into -1 3.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.126 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (/ 1 E)) 1)))) 1) into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.127 * [backup-simplify]: Simplify (+ 0 0) into 0 3.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.128 * [backup-simplify]: Simplify (- 0) into 0 3.128 * [backup-simplify]: Simplify (+ 0 0) into 0 3.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.129 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 3.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 4 (/ E (pow n 2))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 2 (/ E n)) E)))) into 0 3.132 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 2) (+)) (* 2 (sqrt (/ 1 E)))) into (* -1/2 (* (sqrt (/ 1 E)) (/ 1 (pow n 2)))) 3.135 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 2)) (pow (sqrt (/ 1 E)) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/2 (* (sqrt (/ 1 E)) (/ 1 (pow n 2))))) 1)) (pow (sqrt (/ 1 E)) 1)))) 2) into (/ -1 (pow n 2)) 3.135 * [taylor]: Taking taylor expansion of (/ -1 (pow n 2)) in n 3.136 * [taylor]: Taking taylor expansion of -1 in n 3.136 * [backup-simplify]: Simplify -1 into -1 3.136 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.136 * [taylor]: Taking taylor expansion of n in n 3.136 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify 1 into 1 3.136 * [backup-simplify]: Simplify (* 1 1) into 1 3.136 * [backup-simplify]: Simplify (/ -1 1) into -1 3.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 3.140 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 E)))) into 0 3.141 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (/ 1 E)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (/ 1 E)) 1)))) 2) into 0 3.141 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.142 * [backup-simplify]: Simplify (+ 0 0) into 0 3.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.143 * [backup-simplify]: Simplify (- 0) into 0 3.143 * [backup-simplify]: Simplify (+ 0 0) into 0 3.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 3.145 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 3.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 22/3 (/ E (pow n 3))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 4 (/ E (pow n 2))) E)) (* 0 (/ (* 2 (/ E n)) E)))) into (* 2/3 (/ 1 (* E (pow n 3)))) 3.148 * [backup-simplify]: Simplify (/ (- (* 2/3 (/ 1 (* E (pow n 3)))) (+ (* 2 (* (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) (* -1/2 (* (sqrt (/ 1 E)) (/ 1 (pow n 2)))))))) (* 2 (sqrt (/ 1 E)))) into (* -1/6 (* (sqrt (/ 1 E)) (/ 1 (pow n 3)))) 3.154 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 3)) (pow (sqrt (/ 1 E)) 3))) (* -3 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 1) (pow (* 2 (* -1/2 (* (sqrt (/ 1 E)) (/ 1 (pow n 2))))) 1)) (pow (sqrt (/ 1 E)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -1/6 (* (sqrt (/ 1 E)) (/ 1 (pow n 3))))) 1)) (pow (sqrt (/ 1 E)) 1)))) 6) into (/ -1 (pow n 3)) 3.154 * [taylor]: Taking taylor expansion of (/ -1 (pow n 3)) in n 3.154 * [taylor]: Taking taylor expansion of -1 in n 3.154 * [backup-simplify]: Simplify -1 into -1 3.154 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.154 * [taylor]: Taking taylor expansion of n in n 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 1 into 1 3.155 * [backup-simplify]: Simplify (* 1 1) into 1 3.155 * [backup-simplify]: Simplify (* 1 1) into 1 3.155 * [backup-simplify]: Simplify (/ -1 1) into -1 3.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.159 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.160 * [backup-simplify]: Simplify (log (/ 1 (sqrt (exp (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))))))) into (log (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))))) 3.160 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))))) in (f n) around 0 3.160 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))))) in n 3.160 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in n 3.160 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 3.160 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 3.160 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 3.160 * [taylor]: Taking taylor expansion of -1 in n 3.161 * [backup-simplify]: Simplify -1 into -1 3.161 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.161 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.161 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.161 * [taylor]: Taking taylor expansion of f in n 3.161 * [backup-simplify]: Simplify f into f 3.161 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.161 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.161 * [taylor]: Taking taylor expansion of n in n 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify 1 into 1 3.161 * [backup-simplify]: Simplify (/ 1 1) into 1 3.161 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.161 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.161 * [taylor]: Taking taylor expansion of n in n 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify 1 into 1 3.161 * [backup-simplify]: Simplify (/ 1 1) into 1 3.161 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.161 * [taylor]: Taking taylor expansion of f in n 3.161 * [backup-simplify]: Simplify f into f 3.161 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.162 * [backup-simplify]: Simplify (+ 0 1) into 1 3.162 * [backup-simplify]: Simplify (+ 1 0) into 1 3.162 * [backup-simplify]: Simplify (/ 1 1) into 1 3.162 * [backup-simplify]: Simplify (* -1 1) into -1 3.163 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.163 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 3.164 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 3.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.165 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 3.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.165 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 3.165 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 3.165 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 3.165 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 3.166 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 f))) 1) 1)))) into (* -2 (/ (exp -1) f)) 3.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) f)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) f))) 3.169 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (* (exp -1) f))) (* 2 (sqrt (/ 1 (exp -1))))) into (* (sqrt (/ 1 (exp -1))) (/ 1 f)) 3.170 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.170 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))))) in f 3.170 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in f 3.170 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 3.170 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 3.170 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.170 * [taylor]: Taking taylor expansion of -1 in f 3.170 * [backup-simplify]: Simplify -1 into -1 3.170 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.170 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.170 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.170 * [taylor]: Taking taylor expansion of f in f 3.170 * [backup-simplify]: Simplify 0 into 0 3.170 * [backup-simplify]: Simplify 1 into 1 3.170 * [backup-simplify]: Simplify (/ 1 1) into 1 3.170 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.170 * [taylor]: Taking taylor expansion of n in f 3.170 * [backup-simplify]: Simplify n into n 3.170 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.170 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.170 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.170 * [taylor]: Taking taylor expansion of n in f 3.170 * [backup-simplify]: Simplify n into n 3.170 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.170 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.170 * [taylor]: Taking taylor expansion of f in f 3.170 * [backup-simplify]: Simplify 0 into 0 3.170 * [backup-simplify]: Simplify 1 into 1 3.171 * [backup-simplify]: Simplify (/ 1 1) into 1 3.171 * [backup-simplify]: Simplify (+ 1 0) into 1 3.171 * [backup-simplify]: Simplify (- 1) into -1 3.171 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.172 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.172 * [backup-simplify]: Simplify (* -1 -1) into 1 3.172 * [backup-simplify]: Simplify (exp 1) into E 3.172 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.173 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.173 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.174 * [backup-simplify]: Simplify (- 0) into 0 3.174 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.174 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.174 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.175 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 3.176 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E n)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 3.177 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.177 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))))) in f 3.177 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in f 3.177 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 3.177 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 3.177 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.177 * [taylor]: Taking taylor expansion of -1 in f 3.177 * [backup-simplify]: Simplify -1 into -1 3.177 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.177 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.177 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.177 * [taylor]: Taking taylor expansion of f in f 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify 1 into 1 3.177 * [backup-simplify]: Simplify (/ 1 1) into 1 3.177 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.177 * [taylor]: Taking taylor expansion of n in f 3.178 * [backup-simplify]: Simplify n into n 3.178 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.178 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.178 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.178 * [taylor]: Taking taylor expansion of n in f 3.178 * [backup-simplify]: Simplify n into n 3.178 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.178 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.178 * [taylor]: Taking taylor expansion of f in f 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 1 into 1 3.178 * [backup-simplify]: Simplify (/ 1 1) into 1 3.178 * [backup-simplify]: Simplify (+ 1 0) into 1 3.179 * [backup-simplify]: Simplify (- 1) into -1 3.179 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.179 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.179 * [backup-simplify]: Simplify (* -1 -1) into 1 3.179 * [backup-simplify]: Simplify (exp 1) into E 3.180 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.180 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.181 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.181 * [backup-simplify]: Simplify (- 0) into 0 3.181 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.181 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.182 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.182 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 3.183 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E n)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 3.184 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.184 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 E))) in n 3.184 * [taylor]: Taking taylor expansion of (sqrt (/ 1 E)) in n 3.184 * [taylor]: Taking taylor expansion of (/ 1 E) in n 3.184 * [taylor]: Taking taylor expansion of E in n 3.184 * [backup-simplify]: Simplify E into E 3.185 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.185 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 3.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 E)))) into 0 3.187 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.188 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 1)) (pow (sqrt (/ 1 E)) 1)))) 1) into (/ -1 n) 3.190 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.190 * [taylor]: Taking taylor expansion of -1 in n 3.190 * [backup-simplify]: Simplify -1 into -1 3.190 * [taylor]: Taking taylor expansion of n in n 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify 1 into 1 3.190 * [backup-simplify]: Simplify (/ -1 1) into -1 3.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.191 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (/ 1 E)) 1)))) 1) into 0 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.193 * [backup-simplify]: Simplify (+ 0 0) into 0 3.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.196 * [backup-simplify]: Simplify (- 0) into 0 3.196 * [backup-simplify]: Simplify (+ 0 0) into 0 3.197 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.198 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.198 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 3.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 4 (/ E (pow n 2))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 2 (/ E n)) E)))) into 0 3.200 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 2) (+)) (* 2 (sqrt (/ 1 E)))) into (* -1/2 (* (sqrt (/ 1 E)) (/ 1 (pow n 2)))) 3.204 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 2)) (pow (sqrt (/ 1 E)) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/2 (* (sqrt (/ 1 E)) (/ 1 (pow n 2))))) 1)) (pow (sqrt (/ 1 E)) 1)))) 2) into (/ -1 (pow n 2)) 3.204 * [taylor]: Taking taylor expansion of (/ -1 (pow n 2)) in n 3.204 * [taylor]: Taking taylor expansion of -1 in n 3.204 * [backup-simplify]: Simplify -1 into -1 3.204 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.204 * [taylor]: Taking taylor expansion of n in n 3.204 * [backup-simplify]: Simplify 0 into 0 3.204 * [backup-simplify]: Simplify 1 into 1 3.204 * [backup-simplify]: Simplify (* 1 1) into 1 3.205 * [backup-simplify]: Simplify (/ -1 1) into -1 3.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.207 * [backup-simplify]: Simplify 0 into 0 3.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.207 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 3.209 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 E)))) into 0 3.210 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (/ 1 E)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (/ 1 E)) 1)))) 2) into 0 3.210 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.211 * [backup-simplify]: Simplify (+ 0 0) into 0 3.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.212 * [backup-simplify]: Simplify (- 0) into 0 3.212 * [backup-simplify]: Simplify (+ 0 0) into 0 3.214 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.214 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 3.215 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 3.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 22/3 (/ E (pow n 3))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 4 (/ E (pow n 2))) E)) (* 0 (/ (* 2 (/ E n)) E)))) into (* 2/3 (/ 1 (* E (pow n 3)))) 3.218 * [backup-simplify]: Simplify (/ (- (* 2/3 (/ 1 (* E (pow n 3)))) (+ (* 2 (* (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) (* -1/2 (* (sqrt (/ 1 E)) (/ 1 (pow n 2)))))))) (* 2 (sqrt (/ 1 E)))) into (* -1/6 (* (sqrt (/ 1 E)) (/ 1 (pow n 3)))) 3.224 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 3)) (pow (sqrt (/ 1 E)) 3))) (* -3 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 1) (pow (* 2 (* -1/2 (* (sqrt (/ 1 E)) (/ 1 (pow n 2))))) 1)) (pow (sqrt (/ 1 E)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -1/6 (* (sqrt (/ 1 E)) (/ 1 (pow n 3))))) 1)) (pow (sqrt (/ 1 E)) 1)))) 6) into (/ -1 (pow n 3)) 3.224 * [taylor]: Taking taylor expansion of (/ -1 (pow n 3)) in n 3.224 * [taylor]: Taking taylor expansion of -1 in n 3.224 * [backup-simplify]: Simplify -1 into -1 3.224 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.224 * [taylor]: Taking taylor expansion of n in n 3.224 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify 1 into 1 3.224 * [backup-simplify]: Simplify (* 1 1) into 1 3.224 * [backup-simplify]: Simplify (* 1 1) into 1 3.225 * [backup-simplify]: Simplify (/ -1 1) into -1 3.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.229 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.230 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.230 * [backup-simplify]: Simplify (log (/ 1 (sqrt (exp (/ (+ f n) (- f n)))))) into (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) 3.230 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) in (f n) around 0 3.230 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) in n 3.230 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ n f) (- f n))))) in n 3.230 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in n 3.230 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in n 3.230 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.230 * [taylor]: Taking taylor expansion of (+ n f) in n 3.230 * [taylor]: Taking taylor expansion of n in n 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.230 * [taylor]: Taking taylor expansion of f in n 3.230 * [backup-simplify]: Simplify f into f 3.230 * [taylor]: Taking taylor expansion of (- f n) in n 3.230 * [taylor]: Taking taylor expansion of f in n 3.230 * [backup-simplify]: Simplify f into f 3.230 * [taylor]: Taking taylor expansion of n in n 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.230 * [backup-simplify]: Simplify (+ 0 f) into f 3.231 * [backup-simplify]: Simplify (- 0) into 0 3.231 * [backup-simplify]: Simplify (+ f 0) into f 3.231 * [backup-simplify]: Simplify (/ f f) into 1 3.231 * [backup-simplify]: Simplify (exp 1) into E 3.231 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.232 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.232 * [backup-simplify]: Simplify (+ 1 0) into 1 3.232 * [backup-simplify]: Simplify (- 1) into -1 3.232 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.232 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 3.233 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 f)) 1) 1)))) into (* 2 (/ E f)) 3.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E f)) E)))) into (- (* 2 (/ 1 (* E f)))) 3.234 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E f)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 f))) 3.235 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.235 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) in f 3.235 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ n f) (- f n))))) in f 3.235 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in f 3.235 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 3.235 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.235 * [taylor]: Taking taylor expansion of (+ n f) in f 3.235 * [taylor]: Taking taylor expansion of n in f 3.235 * [backup-simplify]: Simplify n into n 3.235 * [taylor]: Taking taylor expansion of f in f 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 1 into 1 3.235 * [taylor]: Taking taylor expansion of (- f n) in f 3.235 * [taylor]: Taking taylor expansion of f in f 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 1 into 1 3.235 * [taylor]: Taking taylor expansion of n in f 3.235 * [backup-simplify]: Simplify n into n 3.235 * [backup-simplify]: Simplify (+ n 0) into n 3.235 * [backup-simplify]: Simplify (- n) into (- n) 3.235 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.235 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.236 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.236 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 3.237 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 3.237 * [backup-simplify]: Simplify (+ 0 1) into 1 3.237 * [backup-simplify]: Simplify (- 0) into 0 3.238 * [backup-simplify]: Simplify (+ 1 0) into 1 3.238 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.238 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) n))) 3.241 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (* (exp -1) n))) (* 2 (sqrt (/ 1 (exp -1))))) into (* (sqrt (/ 1 (exp -1))) (/ 1 n)) 3.242 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.242 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) in f 3.242 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ n f) (- f n))))) in f 3.242 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in f 3.242 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 3.242 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.242 * [taylor]: Taking taylor expansion of (+ n f) in f 3.242 * [taylor]: Taking taylor expansion of n in f 3.242 * [backup-simplify]: Simplify n into n 3.242 * [taylor]: Taking taylor expansion of f in f 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.242 * [taylor]: Taking taylor expansion of (- f n) in f 3.242 * [taylor]: Taking taylor expansion of f in f 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.242 * [taylor]: Taking taylor expansion of n in f 3.242 * [backup-simplify]: Simplify n into n 3.242 * [backup-simplify]: Simplify (+ n 0) into n 3.242 * [backup-simplify]: Simplify (- n) into (- n) 3.242 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.242 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.243 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.243 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 3.244 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 3.244 * [backup-simplify]: Simplify (+ 0 1) into 1 3.244 * [backup-simplify]: Simplify (- 0) into 0 3.245 * [backup-simplify]: Simplify (+ 1 0) into 1 3.245 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.245 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) n))) 3.248 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (* (exp -1) n))) (* 2 (sqrt (/ 1 (exp -1))))) into (* (sqrt (/ 1 (exp -1))) (/ 1 n)) 3.249 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.249 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp -1)))) in n 3.249 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp -1))) in n 3.249 * [taylor]: Taking taylor expansion of (/ 1 (exp -1)) in n 3.249 * [taylor]: Taking taylor expansion of (exp -1) in n 3.249 * [taylor]: Taking taylor expansion of -1 in n 3.249 * [backup-simplify]: Simplify -1 into -1 3.249 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.250 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 3.250 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 3.251 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))))) into 0 3.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (exp -1))))) into 0 3.253 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.255 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.257 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* (sqrt (/ 1 (exp -1))) (/ 1 n))) 1)) (pow (sqrt (/ 1 (exp -1))) 1)))) 1) into (/ 1 n) 3.257 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.257 * [taylor]: Taking taylor expansion of n in n 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify 1 into 1 3.257 * [backup-simplify]: Simplify (/ 1 1) into 1 3.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.258 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (/ 1 (exp -1))) 1)))) 1) into 0 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify (+ 0 0) into 0 3.259 * [backup-simplify]: Simplify (- 0) into 0 3.259 * [backup-simplify]: Simplify (+ 0 0) into 0 3.260 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.260 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 3.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* (* 2 (/ 1 (* (exp -1) n))) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 4 (/ 1 (* (exp -1) (pow n 2)))) 3.264 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (* (exp -1) (pow n 2)))) (pow (* (sqrt (/ 1 (exp -1))) (/ 1 n)) 2) (+)) (* 2 (sqrt (/ 1 (exp -1))))) into (* 3/2 (* (sqrt (/ 1 (exp -1))) (/ 1 (pow n 2)))) 3.269 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* (sqrt (/ 1 (exp -1))) (/ 1 n))) 2)) (pow (sqrt (/ 1 (exp -1))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 3/2 (* (sqrt (/ 1 (exp -1))) (/ 1 (pow n 2))))) 1)) (pow (sqrt (/ 1 (exp -1))) 1)))) 2) into (/ 1 (pow n 2)) 3.269 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.269 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.269 * [taylor]: Taking taylor expansion of n in n 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 1 into 1 3.270 * [backup-simplify]: Simplify (* 1 1) into 1 3.270 * [backup-simplify]: Simplify (/ 1 1) into 1 3.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.271 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.272 * [backup-simplify]: Simplify 0 into 0 3.273 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* 0 (/ 0 (exp -1))))) into 0 3.274 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (exp -1))))) into 0 3.276 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (/ 1 (exp -1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (/ 1 (exp -1))) 1)))) 2) into 0 3.276 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify (+ 0 0) into 0 3.276 * [backup-simplify]: Simplify (- 0) into 0 3.277 * [backup-simplify]: Simplify (+ 0 0) into 0 3.277 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 3.278 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 3.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* 2/3 (/ (exp -1) (pow n 3))) (exp -1))) (* (* 2 (/ 1 (* (exp -1) n))) (/ 0 (exp -1))) (* (* 4 (/ 1 (* (exp -1) (pow n 2)))) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 22/3 (/ 1 (* (exp -1) (pow n 3)))) 3.287 * [backup-simplify]: Simplify (/ (- (* 22/3 (/ 1 (* (exp -1) (pow n 3)))) (+ (* 2 (* (* (sqrt (/ 1 (exp -1))) (/ 1 n)) (* 3/2 (* (sqrt (/ 1 (exp -1))) (/ 1 (pow n 2)))))))) (* 2 (sqrt (/ 1 (exp -1))))) into (* 13/6 (* (sqrt (/ 1 (exp -1))) (/ 1 (pow n 3)))) 3.295 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* (sqrt (/ 1 (exp -1))) (/ 1 n))) 3)) (pow (sqrt (/ 1 (exp -1))) 3))) (* -3 (/ (* (pow (* 1 (* (sqrt (/ 1 (exp -1))) (/ 1 n))) 1) (pow (* 2 (* 3/2 (* (sqrt (/ 1 (exp -1))) (/ 1 (pow n 2))))) 1)) (pow (sqrt (/ 1 (exp -1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 13/6 (* (sqrt (/ 1 (exp -1))) (/ 1 (pow n 3))))) 1)) (pow (sqrt (/ 1 (exp -1))) 1)))) 6) into (/ 1 (pow n 3)) 3.295 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.295 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.295 * [taylor]: Taking taylor expansion of n in n 3.295 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify 1 into 1 3.295 * [backup-simplify]: Simplify (* 1 1) into 1 3.295 * [backup-simplify]: Simplify (* 1 1) into 1 3.295 * [backup-simplify]: Simplify (/ 1 1) into 1 3.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.299 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.301 * [backup-simplify]: Simplify (log (/ 1 (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) into (log (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 3.301 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in (f n) around 0 3.301 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in n 3.301 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 3.301 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 3.301 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.301 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.301 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.301 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.301 * [taylor]: Taking taylor expansion of f in n 3.301 * [backup-simplify]: Simplify f into f 3.301 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.301 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.301 * [taylor]: Taking taylor expansion of n in n 3.301 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify 1 into 1 3.301 * [backup-simplify]: Simplify (/ 1 1) into 1 3.301 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.301 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.301 * [taylor]: Taking taylor expansion of f in n 3.301 * [backup-simplify]: Simplify f into f 3.301 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.301 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.301 * [taylor]: Taking taylor expansion of n in n 3.301 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify 1 into 1 3.302 * [backup-simplify]: Simplify (/ 1 1) into 1 3.302 * [backup-simplify]: Simplify (+ 0 1) into 1 3.302 * [backup-simplify]: Simplify (- 1) into -1 3.302 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.303 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.303 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.303 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 3.304 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 3.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.305 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 3.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.305 * [backup-simplify]: Simplify (- 0) into 0 3.305 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 3.305 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 3.306 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 f))) 1) 1)))) into (* -2 (/ (exp -1) f)) 3.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) f)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) f))) 3.308 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (* (exp -1) f))) (* 2 (sqrt (/ 1 (exp -1))))) into (* (sqrt (/ 1 (exp -1))) (/ 1 f)) 3.310 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.310 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in f 3.310 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 3.310 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.310 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.310 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.310 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.310 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.310 * [taylor]: Taking taylor expansion of f in f 3.310 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify 1 into 1 3.310 * [backup-simplify]: Simplify (/ 1 1) into 1 3.310 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.310 * [taylor]: Taking taylor expansion of n in f 3.310 * [backup-simplify]: Simplify n into n 3.310 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.310 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.310 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.310 * [taylor]: Taking taylor expansion of f in f 3.310 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify 1 into 1 3.311 * [backup-simplify]: Simplify (/ 1 1) into 1 3.311 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.311 * [taylor]: Taking taylor expansion of n in f 3.311 * [backup-simplify]: Simplify n into n 3.311 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.311 * [backup-simplify]: Simplify (+ 1 0) into 1 3.311 * [backup-simplify]: Simplify (+ 1 0) into 1 3.311 * [backup-simplify]: Simplify (/ 1 1) into 1 3.311 * [backup-simplify]: Simplify (exp 1) into E 3.312 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.312 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.313 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.313 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.313 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.314 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.314 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 3.315 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E n)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 3.316 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.316 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in f 3.316 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 3.316 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.316 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.316 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.316 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.316 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.316 * [taylor]: Taking taylor expansion of f in f 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.317 * [backup-simplify]: Simplify (/ 1 1) into 1 3.317 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.317 * [taylor]: Taking taylor expansion of n in f 3.317 * [backup-simplify]: Simplify n into n 3.317 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.317 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.317 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.317 * [taylor]: Taking taylor expansion of f in f 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify 1 into 1 3.317 * [backup-simplify]: Simplify (/ 1 1) into 1 3.317 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.317 * [taylor]: Taking taylor expansion of n in f 3.317 * [backup-simplify]: Simplify n into n 3.317 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.317 * [backup-simplify]: Simplify (+ 1 0) into 1 3.318 * [backup-simplify]: Simplify (+ 1 0) into 1 3.318 * [backup-simplify]: Simplify (/ 1 1) into 1 3.318 * [backup-simplify]: Simplify (exp 1) into E 3.318 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.319 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.319 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.320 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.320 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.320 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.320 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 3.321 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E n)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 3.322 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.322 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 E))) in n 3.322 * [taylor]: Taking taylor expansion of (sqrt (/ 1 E)) in n 3.322 * [taylor]: Taking taylor expansion of (/ 1 E) in n 3.322 * [taylor]: Taking taylor expansion of E in n 3.322 * [backup-simplify]: Simplify E into E 3.323 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.323 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 3.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 E)))) into 0 3.325 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.326 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 1)) (pow (sqrt (/ 1 E)) 1)))) 1) into (/ -1 n) 3.328 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.328 * [taylor]: Taking taylor expansion of -1 in n 3.328 * [backup-simplify]: Simplify -1 into -1 3.328 * [taylor]: Taking taylor expansion of n in n 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 1 into 1 3.328 * [backup-simplify]: Simplify (/ -1 1) into -1 3.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.329 * [backup-simplify]: Simplify 0 into 0 3.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (/ 1 E)) 1)))) 1) into 0 3.330 * [backup-simplify]: Simplify 0 into 0 3.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.331 * [backup-simplify]: Simplify (+ 0 0) into 0 3.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.332 * [backup-simplify]: Simplify (- 0) into 0 3.332 * [backup-simplify]: Simplify (+ 0 0) into 0 3.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.333 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 3.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 4 (/ E (pow n 2))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 2 (/ E n)) E)))) into 0 3.335 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 2) (+)) (* 2 (sqrt (/ 1 E)))) into (* -1/2 (* (sqrt (/ 1 E)) (/ 1 (pow n 2)))) 3.339 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 2)) (pow (sqrt (/ 1 E)) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/2 (* (sqrt (/ 1 E)) (/ 1 (pow n 2))))) 1)) (pow (sqrt (/ 1 E)) 1)))) 2) into (/ -1 (pow n 2)) 3.339 * [taylor]: Taking taylor expansion of (/ -1 (pow n 2)) in n 3.339 * [taylor]: Taking taylor expansion of -1 in n 3.339 * [backup-simplify]: Simplify -1 into -1 3.339 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.339 * [taylor]: Taking taylor expansion of n in n 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify 1 into 1 3.339 * [backup-simplify]: Simplify (* 1 1) into 1 3.339 * [backup-simplify]: Simplify (/ -1 1) into -1 3.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.341 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 3.343 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 E)))) into 0 3.345 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (/ 1 E)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (/ 1 E)) 1)))) 2) into 0 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.346 * [backup-simplify]: Simplify (+ 0 0) into 0 3.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.346 * [backup-simplify]: Simplify (- 0) into 0 3.347 * [backup-simplify]: Simplify (+ 0 0) into 0 3.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 3.348 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 3.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 22/3 (/ E (pow n 3))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 4 (/ E (pow n 2))) E)) (* 0 (/ (* 2 (/ E n)) E)))) into (* 2/3 (/ 1 (* E (pow n 3)))) 3.351 * [backup-simplify]: Simplify (/ (- (* 2/3 (/ 1 (* E (pow n 3)))) (+ (* 2 (* (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) (* -1/2 (* (sqrt (/ 1 E)) (/ 1 (pow n 2)))))))) (* 2 (sqrt (/ 1 E)))) into (* -1/6 (* (sqrt (/ 1 E)) (/ 1 (pow n 3)))) 3.357 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 3)) (pow (sqrt (/ 1 E)) 3))) (* -3 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 1) (pow (* 2 (* -1/2 (* (sqrt (/ 1 E)) (/ 1 (pow n 2))))) 1)) (pow (sqrt (/ 1 E)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -1/6 (* (sqrt (/ 1 E)) (/ 1 (pow n 3))))) 1)) (pow (sqrt (/ 1 E)) 1)))) 6) into (/ -1 (pow n 3)) 3.357 * [taylor]: Taking taylor expansion of (/ -1 (pow n 3)) in n 3.357 * [taylor]: Taking taylor expansion of -1 in n 3.357 * [backup-simplify]: Simplify -1 into -1 3.357 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.357 * [taylor]: Taking taylor expansion of n in n 3.357 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 1 into 1 3.358 * [backup-simplify]: Simplify (* 1 1) into 1 3.358 * [backup-simplify]: Simplify (* 1 1) into 1 3.358 * [backup-simplify]: Simplify (/ -1 1) into -1 3.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.362 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.364 * [backup-simplify]: Simplify (log (/ 1 (sqrt (exp (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))))))) into (log (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))))) 3.364 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))))) in (f n) around 0 3.364 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))))) in n 3.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in n 3.364 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 3.364 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 3.364 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 3.364 * [taylor]: Taking taylor expansion of -1 in n 3.364 * [backup-simplify]: Simplify -1 into -1 3.364 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.364 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.364 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.364 * [taylor]: Taking taylor expansion of f in n 3.364 * [backup-simplify]: Simplify f into f 3.364 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.364 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.364 * [taylor]: Taking taylor expansion of n in n 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.364 * [backup-simplify]: Simplify (/ 1 1) into 1 3.364 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.364 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.364 * [taylor]: Taking taylor expansion of n in n 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.365 * [backup-simplify]: Simplify (/ 1 1) into 1 3.365 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.365 * [taylor]: Taking taylor expansion of f in n 3.365 * [backup-simplify]: Simplify f into f 3.365 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.365 * [backup-simplify]: Simplify (+ 0 1) into 1 3.365 * [backup-simplify]: Simplify (+ 1 0) into 1 3.365 * [backup-simplify]: Simplify (/ 1 1) into 1 3.366 * [backup-simplify]: Simplify (* -1 1) into -1 3.366 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.366 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 3.367 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 3.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.368 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 3.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.368 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 3.368 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 3.368 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 3.369 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 3.369 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 f))) 1) 1)))) into (* -2 (/ (exp -1) f)) 3.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) f)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) f))) 3.374 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (* (exp -1) f))) (* 2 (sqrt (/ 1 (exp -1))))) into (* (sqrt (/ 1 (exp -1))) (/ 1 f)) 3.376 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.376 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))))) in f 3.376 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in f 3.376 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 3.376 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 3.376 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.376 * [taylor]: Taking taylor expansion of -1 in f 3.376 * [backup-simplify]: Simplify -1 into -1 3.376 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.376 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.376 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.376 * [taylor]: Taking taylor expansion of f in f 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [backup-simplify]: Simplify (/ 1 1) into 1 3.376 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.376 * [taylor]: Taking taylor expansion of n in f 3.376 * [backup-simplify]: Simplify n into n 3.376 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.376 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.376 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.376 * [taylor]: Taking taylor expansion of n in f 3.376 * [backup-simplify]: Simplify n into n 3.376 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.376 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.376 * [taylor]: Taking taylor expansion of f in f 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.377 * [backup-simplify]: Simplify (/ 1 1) into 1 3.377 * [backup-simplify]: Simplify (+ 1 0) into 1 3.377 * [backup-simplify]: Simplify (- 1) into -1 3.377 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.377 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.378 * [backup-simplify]: Simplify (* -1 -1) into 1 3.378 * [backup-simplify]: Simplify (exp 1) into E 3.378 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.379 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.379 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.380 * [backup-simplify]: Simplify (- 0) into 0 3.380 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.380 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.380 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.380 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 3.382 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E n)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 3.383 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.383 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))))) in f 3.383 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in f 3.383 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 3.383 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 3.383 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.383 * [taylor]: Taking taylor expansion of -1 in f 3.383 * [backup-simplify]: Simplify -1 into -1 3.383 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.383 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.383 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.383 * [taylor]: Taking taylor expansion of f in f 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 1 into 1 3.383 * [backup-simplify]: Simplify (/ 1 1) into 1 3.383 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.383 * [taylor]: Taking taylor expansion of n in f 3.383 * [backup-simplify]: Simplify n into n 3.383 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.383 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.383 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.383 * [taylor]: Taking taylor expansion of n in f 3.383 * [backup-simplify]: Simplify n into n 3.383 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.383 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.383 * [taylor]: Taking taylor expansion of f in f 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 1 into 1 3.384 * [backup-simplify]: Simplify (/ 1 1) into 1 3.384 * [backup-simplify]: Simplify (+ 1 0) into 1 3.384 * [backup-simplify]: Simplify (- 1) into -1 3.384 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.385 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.385 * [backup-simplify]: Simplify (* -1 -1) into 1 3.385 * [backup-simplify]: Simplify (exp 1) into E 3.385 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.386 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.386 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.387 * [backup-simplify]: Simplify (- 0) into 0 3.387 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.387 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.387 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.388 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 3.389 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E n)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 3.390 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.390 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 E))) in n 3.390 * [taylor]: Taking taylor expansion of (sqrt (/ 1 E)) in n 3.390 * [taylor]: Taking taylor expansion of (/ 1 E) in n 3.390 * [taylor]: Taking taylor expansion of E in n 3.390 * [backup-simplify]: Simplify E into E 3.390 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.391 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 3.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 E)))) into 0 3.393 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.394 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.396 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 1)) (pow (sqrt (/ 1 E)) 1)))) 1) into (/ -1 n) 3.396 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.396 * [taylor]: Taking taylor expansion of -1 in n 3.396 * [backup-simplify]: Simplify -1 into -1 3.396 * [taylor]: Taking taylor expansion of n in n 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify 1 into 1 3.396 * [backup-simplify]: Simplify (/ -1 1) into -1 3.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (/ 1 E)) 1)))) 1) into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.398 * [backup-simplify]: Simplify (+ 0 0) into 0 3.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.399 * [backup-simplify]: Simplify (- 0) into 0 3.399 * [backup-simplify]: Simplify (+ 0 0) into 0 3.400 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.401 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.401 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 3.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 4 (/ E (pow n 2))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 2 (/ E n)) E)))) into 0 3.403 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 2) (+)) (* 2 (sqrt (/ 1 E)))) into (* -1/2 (* (sqrt (/ 1 E)) (/ 1 (pow n 2)))) 3.407 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 2)) (pow (sqrt (/ 1 E)) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/2 (* (sqrt (/ 1 E)) (/ 1 (pow n 2))))) 1)) (pow (sqrt (/ 1 E)) 1)))) 2) into (/ -1 (pow n 2)) 3.407 * [taylor]: Taking taylor expansion of (/ -1 (pow n 2)) in n 3.407 * [taylor]: Taking taylor expansion of -1 in n 3.407 * [backup-simplify]: Simplify -1 into -1 3.407 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.407 * [taylor]: Taking taylor expansion of n in n 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 1 into 1 3.407 * [backup-simplify]: Simplify (* 1 1) into 1 3.408 * [backup-simplify]: Simplify (/ -1 1) into -1 3.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 3.412 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 E)))) into 0 3.414 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (/ 1 E)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (/ 1 E)) 1)))) 2) into 0 3.414 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.415 * [backup-simplify]: Simplify (+ 0 0) into 0 3.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.415 * [backup-simplify]: Simplify (- 0) into 0 3.416 * [backup-simplify]: Simplify (+ 0 0) into 0 3.417 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.417 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 3.418 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 3.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 22/3 (/ E (pow n 3))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 4 (/ E (pow n 2))) E)) (* 0 (/ (* 2 (/ E n)) E)))) into (* 2/3 (/ 1 (* E (pow n 3)))) 3.421 * [backup-simplify]: Simplify (/ (- (* 2/3 (/ 1 (* E (pow n 3)))) (+ (* 2 (* (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) (* -1/2 (* (sqrt (/ 1 E)) (/ 1 (pow n 2)))))))) (* 2 (sqrt (/ 1 E)))) into (* -1/6 (* (sqrt (/ 1 E)) (/ 1 (pow n 3)))) 3.427 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 3)) (pow (sqrt (/ 1 E)) 3))) (* -3 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 1) (pow (* 2 (* -1/2 (* (sqrt (/ 1 E)) (/ 1 (pow n 2))))) 1)) (pow (sqrt (/ 1 E)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -1/6 (* (sqrt (/ 1 E)) (/ 1 (pow n 3))))) 1)) (pow (sqrt (/ 1 E)) 1)))) 6) into (/ -1 (pow n 3)) 3.427 * [taylor]: Taking taylor expansion of (/ -1 (pow n 3)) in n 3.427 * [taylor]: Taking taylor expansion of -1 in n 3.427 * [backup-simplify]: Simplify -1 into -1 3.427 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.427 * [taylor]: Taking taylor expansion of n in n 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [backup-simplify]: Simplify (* 1 1) into 1 3.428 * [backup-simplify]: Simplify (* 1 1) into 1 3.428 * [backup-simplify]: Simplify (/ -1 1) into -1 3.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.432 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.433 * * * [progress]: simplifying candidates 3.436 * [simplify]: Simplifying: (expm1 (/ (+ f n) (- f n))) (log1p (/ (+ f n) (- f n))) (- (log (+ f n)) (log (- f n))) (log (/ (+ f n) (- f n))) (exp (/ (+ f n) (- f n))) (/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (/ (+ f n) (- f n))) (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (+ f n) (- f n))) (sqrt (/ (+ f n) (- f n))) (sqrt (/ (+ f n) (- f n))) (- (+ f n)) (- (- f n)) (/ (* (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) (* (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) (- (pow f 3) (pow n 3))) (/ (+ f n) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (expm1 (/ (+ f n) (- f n))) (log1p (/ (+ f n) (- f n))) (- (log (+ f n)) (log (- f n))) (log (/ (+ f n) (- f n))) (exp (/ (+ f n) (- f n))) (/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (/ (+ f n) (- f n))) (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (+ f n) (- f n))) (sqrt (/ (+ f n) (- f n))) (sqrt (/ (+ f n) (- f n))) (- (+ f n)) (- (- f n)) (/ (* (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) (* (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) (- (pow f 3) (pow n 3))) (/ (+ f n) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (expm1 (log (/ 1 (sqrt (exp (/ (+ f n) (- f n))))))) (log1p (log (/ 1 (sqrt (exp (/ (+ f n) (- f n))))))) (log (* (cbrt (/ 1 (sqrt (exp (/ (+ f n) (- f n)))))) (cbrt (/ 1 (sqrt (exp (/ (+ f n) (- f n)))))))) (log (cbrt (/ 1 (sqrt (exp (/ (+ f n) (- f n))))))) (log (sqrt (/ 1 (sqrt (exp (/ (+ f n) (- f n))))))) (log (sqrt (/ 1 (sqrt (exp (/ (+ f n) (- f n))))))) (log (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (exp (/ (+ f n) (- f n))))) (cbrt (sqrt (exp (/ (+ f n) (- f n)))))))) (log (/ (cbrt 1) (cbrt (sqrt (exp (/ (+ f n) (- f n))))))) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (exp (/ (+ f n) (- f n)))) (cbrt (exp (/ (+ f n) (- f n)))))))) (log (/ (cbrt 1) (sqrt (cbrt (exp (/ (+ f n) (- f n))))))) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (exp (/ (+ f n) (- f n))))))) (log (/ (cbrt 1) (sqrt (sqrt (exp (/ (+ f n) (- f n))))))) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (log (/ (cbrt 1) 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h1))))) (log (/ 1 (sqrt (exp (/ (+ h0 h1) (- h0 h1)))))) (log (log (/ 1 (sqrt (exp (/ (+ h0 h1) (- h0 h1))))))) (exp (log (/ 1 (sqrt (exp (/ (+ h0 h1) (- h0 h1))))))) (* (cbrt (log (/ 1 (sqrt (exp (/ (+ h0 h1) (- h0 h1))))))) (cbrt (log (/ 1 (sqrt (exp (/ (+ h0 h1) (- h0 h1)))))))) (cbrt (log (/ 1 (sqrt (exp (/ (+ h0 h1) (- h0 h1))))))) (* (* (log (/ 1 (sqrt (exp (/ (+ h0 h1) (- h0 h1)))))) (log (/ 1 (sqrt (exp (/ (+ h0 h1) (- h0 h1))))))) (log (/ 1 (sqrt (exp (/ (+ h0 h1) (- h0 h1))))))) (sqrt (log (/ 1 (sqrt (exp (/ (+ h0 h1) (- h0 h1))))))) (sqrt (log (/ 1 (sqrt (exp (/ (+ h0 h1) (- h0 h1))))))) -1 1 1 -1 1 1 (log (sqrt (/ 1 (exp -1)))) (log (sqrt (/ 1 h2))) (log (sqrt (/ 1 h2))) (log (sqrt (/ 1 (exp -1)))) (log (sqrt (/ 1 h2))) (log (sqrt (/ 1 h2))) 3.444 * * [simplify]: iteration 0 : 363 enodes (cost 1846 ) 3.449 * * [simplify]: iteration 1 : 984 enodes (cost 1754 ) 3.466 * * [simplify]: iteration 2 : 3600 enodes (cost 1646 ) 3.495 * * [simplify]: iteration 3 : 5001 enodes (cost 1604 ) 3.502 * * * [progress]: adding candidates to table 4.105 * [progress]: [Phase 3 of 3] Extracting. 4.106 * * [regime]: Finding splitpoints for: (# # #) 4.107 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 4.108 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 4.125 * * * * [regimes]: Trying to branch on n from (# # #) 4.139 * * * * [regimes]: Trying to branch on f from (# # #) 4.153 * * * [regime]: Found split indices: #