0.768 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.315 * * * [progress]: [2/2] Setting up program. 0.317 * [progress]: [Phase 2 of 3] Improving. 0.320 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.320 * [simplify]: Sending expressions to egg_math: (/ (- (+ h0 h1)) (- h0 h1)) 0.323 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.324 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.326 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.327 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.328 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.329 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.330 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.332 * * [progress]: iteration 1 / 4 0.332 * * * [progress]: picking best candidate 0.334 * * * * [pick]: Picked # 0.334 * * * [progress]: localizing error 0.341 * * * [progress]: generating rewritten candidates 0.342 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.408 * * * [progress]: generating series expansions 0.408 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.413 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.413 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.413 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.413 * [taylor]: Taking taylor expansion of -1 in n 0.414 * [backup-simplify]: Simplify -1 into -1 0.414 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.414 * [taylor]: Taking taylor expansion of (+ n f) in n 0.414 * [taylor]: Taking taylor expansion of n in n 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of f in n 0.414 * [backup-simplify]: Simplify f into f 0.414 * [taylor]: Taking taylor expansion of (- f n) in n 0.414 * [taylor]: Taking taylor expansion of f in n 0.414 * [backup-simplify]: Simplify f into f 0.414 * [taylor]: Taking taylor expansion of n in n 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (+ 0 f) into f 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ f 0) into f 0.415 * [backup-simplify]: Simplify (/ f f) into 1 0.415 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.415 * [taylor]: Taking taylor expansion of -1 in f 0.415 * [backup-simplify]: Simplify -1 into -1 0.415 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.415 * [taylor]: Taking taylor expansion of (+ n f) in f 0.415 * [taylor]: Taking taylor expansion of n in f 0.415 * [backup-simplify]: Simplify n into n 0.415 * [taylor]: Taking taylor expansion of f in f 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of (- f n) in f 0.415 * [taylor]: Taking taylor expansion of f in f 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of n in f 0.415 * [backup-simplify]: Simplify n into n 0.415 * [backup-simplify]: Simplify (+ n 0) into n 0.415 * [backup-simplify]: Simplify (- n) into (- n) 0.415 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.415 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.415 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.415 * [taylor]: Taking taylor expansion of -1 in f 0.415 * [backup-simplify]: Simplify -1 into -1 0.415 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.415 * [taylor]: Taking taylor expansion of (+ n f) in f 0.415 * [taylor]: Taking taylor expansion of n in f 0.415 * [backup-simplify]: Simplify n into n 0.415 * [taylor]: Taking taylor expansion of f in f 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of (- f n) in f 0.415 * [taylor]: Taking taylor expansion of f in f 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of n in f 0.416 * [backup-simplify]: Simplify n into n 0.416 * [backup-simplify]: Simplify (+ n 0) into n 0.416 * [backup-simplify]: Simplify (- n) into (- n) 0.416 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.416 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.417 * [backup-simplify]: Simplify (* -1 -1) into 1 0.417 * [taylor]: Taking taylor expansion of 1 in n 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (+ 0 1) into 1 0.418 * [backup-simplify]: Simplify (- 0) into 0 0.418 * [backup-simplify]: Simplify (+ 1 0) into 1 0.418 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.418 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.418 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.418 * [taylor]: Taking taylor expansion of 2 in n 0.418 * [backup-simplify]: Simplify 2 into 2 0.418 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.419 * [taylor]: Taking taylor expansion of n in n 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (- 0) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.422 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.422 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.422 * [taylor]: Taking taylor expansion of 2 in n 0.422 * [backup-simplify]: Simplify 2 into 2 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.422 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.422 * [taylor]: Taking taylor expansion of n in n 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [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)))) 0.428 * [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))) 0.428 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.428 * [taylor]: Taking taylor expansion of 2 in n 0.428 * [backup-simplify]: Simplify 2 into 2 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.428 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.428 * [taylor]: Taking taylor expansion of n in n 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (* 1 1) into 1 0.429 * [backup-simplify]: Simplify (* 1 1) into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.435 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.435 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.435 * [taylor]: Taking taylor expansion of -1 in n 0.435 * [backup-simplify]: Simplify -1 into -1 0.435 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.435 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.435 * [taylor]: Taking taylor expansion of f in n 0.435 * [backup-simplify]: Simplify f into f 0.435 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.435 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.435 * [taylor]: Taking taylor expansion of n in n 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.436 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.436 * [taylor]: Taking taylor expansion of f in n 0.436 * [backup-simplify]: Simplify f into f 0.436 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.436 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.436 * [taylor]: Taking taylor expansion of n in n 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [backup-simplify]: Simplify (+ 0 1) into 1 0.437 * [backup-simplify]: Simplify (- 1) into -1 0.437 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.437 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.437 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.437 * [taylor]: Taking taylor expansion of -1 in f 0.437 * [backup-simplify]: Simplify -1 into -1 0.437 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.437 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.437 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.438 * [taylor]: Taking taylor expansion of n in f 0.438 * [backup-simplify]: Simplify n into n 0.438 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.438 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.438 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.438 * [taylor]: Taking taylor expansion of f in f 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.438 * [taylor]: Taking taylor expansion of n in f 0.438 * [backup-simplify]: Simplify n into n 0.438 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.438 * [backup-simplify]: Simplify (+ 1 0) into 1 0.439 * [backup-simplify]: Simplify (+ 1 0) 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 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.440 * [taylor]: Taking taylor expansion of n in f 0.440 * [backup-simplify]: Simplify n into n 0.440 * [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 0.441 * [backup-simplify]: Simplify (* -1 1) into -1 0.441 * [taylor]: Taking taylor expansion of -1 in n 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.442 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.442 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.442 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.442 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.442 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.442 * [taylor]: Taking taylor expansion of 2 in n 0.442 * [backup-simplify]: Simplify 2 into 2 0.442 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.442 * [taylor]: Taking taylor expansion of n in n 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify (- 0) into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.447 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.447 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.447 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.447 * [taylor]: Taking taylor expansion of 2 in n 0.447 * [backup-simplify]: Simplify 2 into 2 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.447 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.447 * [taylor]: Taking taylor expansion of n in n 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (* 1 1) into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.450 * [backup-simplify]: Simplify (- 0) into 0 0.450 * [backup-simplify]: Simplify 0 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 0 into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [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) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [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))) 0.455 * [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)))) 0.455 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.455 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.455 * [taylor]: Taking taylor expansion of 2 in n 0.455 * [backup-simplify]: Simplify 2 into 2 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.455 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.455 * [taylor]: Taking taylor expansion of n in n 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (* 1 1) into 1 0.455 * [backup-simplify]: Simplify (* 1 1) into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify -1 into -1 0.461 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.461 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.461 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.461 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.461 * [taylor]: Taking taylor expansion of f in n 0.461 * [backup-simplify]: Simplify f into f 0.461 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.461 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.461 * [taylor]: Taking taylor expansion of n in n 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.461 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.461 * [taylor]: Taking taylor expansion of n in n 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.462 * [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 * [backup-simplify]: Simplify (+ 0 1) into 1 0.462 * [backup-simplify]: Simplify (+ 1 0) into 1 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.463 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.463 * [taylor]: Taking taylor expansion of f in f 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.463 * [taylor]: Taking taylor expansion of n in f 0.463 * [backup-simplify]: Simplify n into n 0.463 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.463 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.463 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.463 * [taylor]: Taking taylor expansion of n in f 0.463 * [backup-simplify]: Simplify n into n 0.463 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.463 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.463 * [taylor]: Taking taylor expansion of f in f 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [backup-simplify]: Simplify (+ 1 0) into 1 0.464 * [backup-simplify]: Simplify (- 1) into -1 0.464 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.464 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.464 * [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 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.465 * [taylor]: Taking taylor expansion of n in f 0.465 * [backup-simplify]: Simplify n into n 0.465 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.465 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.465 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.465 * [taylor]: Taking taylor expansion of n in f 0.465 * [backup-simplify]: Simplify n into n 0.465 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 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 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [backup-simplify]: Simplify (+ 1 0) into 1 0.470 * [backup-simplify]: Simplify (- 1) into -1 0.470 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.470 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.470 * [taylor]: Taking taylor expansion of -1 in n 0.470 * [backup-simplify]: Simplify -1 into -1 0.470 * [backup-simplify]: Simplify -1 into -1 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.472 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.472 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.472 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.472 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.472 * [taylor]: Taking taylor expansion of 2 in n 0.472 * [backup-simplify]: Simplify 2 into 2 0.472 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.472 * [taylor]: Taking taylor expansion of n in n 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (- 0) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.476 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.476 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.476 * [taylor]: Taking taylor expansion of 2 in n 0.476 * [backup-simplify]: Simplify 2 into 2 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.476 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.476 * [taylor]: Taking taylor expansion of n in n 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (* 1 1) into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.479 * [backup-simplify]: Simplify (- 0) into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [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 0 into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [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 0.482 * [backup-simplify]: Simplify (- 0) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [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)))) 0.483 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.483 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.483 * [taylor]: Taking taylor expansion of 2 in n 0.483 * [backup-simplify]: Simplify 2 into 2 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.483 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.483 * [taylor]: Taking taylor expansion of n in n 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (* 1 1) into 1 0.484 * [backup-simplify]: Simplify (* 1 1) into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [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 0.489 * [backup-simplify]: Simplify (- 0) into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify -1 into -1 0.489 * * * [progress]: simplifying candidates 0.491 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.492 * [simplify]: Sending expressions to egg_math: (- (log (- (+ h0 h1))) (log (- h0 h1))) (log (/ (- (+ h0 h1)) (- h0 h1))) (exp (/ (- (+ h0 h1)) (- h0 h1))) (/ (* (* (- (+ h0 h1)) (- (+ h0 h1))) (- (+ h0 h1))) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (cbrt (/ (- (+ h0 h1)) (- h0 h1))) (cbrt (/ (- (+ h0 h1)) (- h0 h1)))) (cbrt (/ (- (+ h0 h1)) (- h0 h1))) (* (* (/ (- (+ h0 h1)) (- h0 h1)) (/ (- (+ h0 h1)) (- h0 h1))) (/ (- (+ h0 h1)) (- h0 h1))) (sqrt (/ (- (+ h0 h1)) (- h0 h1))) (sqrt (/ (- (+ h0 h1)) (- h0 h1))) (- (- (+ h0 h1))) (- (- h0 h1)) (/ 0 (- h0 h1)) (/ (+ h0 h1) (- h0 h1)) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (cbrt (- (+ h0 h1))) (cbrt (- h0 h1))) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) (sqrt (- h0 h1))) (/ (cbrt (- (+ h0 h1))) (sqrt (- h0 h1))) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) 1) (/ (cbrt (- (+ h0 h1))) (- h0 h1)) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) (+ (sqrt h0) (sqrt h1))) (/ (cbrt (- (+ h0 h1))) (- (sqrt h0) (sqrt h1))) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) 1) (/ (cbrt (- (+ h0 h1))) (- h0 h1)) (/ (sqrt (- (+ h0 h1))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (sqrt (- (+ h0 h1))) (cbrt (- h0 h1))) (/ (sqrt (- (+ h0 h1))) (sqrt (- h0 h1))) (/ (sqrt (- (+ h0 h1))) (sqrt (- h0 h1))) (/ (sqrt (- (+ h0 h1))) 1) (/ (sqrt (- (+ h0 h1))) (- h0 h1)) (/ (sqrt (- (+ h0 h1))) (+ (sqrt h0) (sqrt h1))) (/ (sqrt (- (+ h0 h1))) (- (sqrt h0) (sqrt h1))) (/ (sqrt (- (+ h0 h1))) 1) (/ (sqrt (- (+ h0 h1))) (- h0 h1)) (/ 1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (+ h0 h1)) (cbrt (- h0 h1))) (/ 1 (sqrt (- h0 h1))) (/ (- (+ h0 h1)) (sqrt (- h0 h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (+ (sqrt h0) (sqrt h1))) (/ (- (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ -1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (+ h0 h1) (cbrt (- h0 h1))) (/ -1 (sqrt (- h0 h1))) (/ (+ h0 h1) (sqrt (- h0 h1))) (/ -1 1) (/ (+ h0 h1) (- h0 h1)) (/ -1 (+ (sqrt h0) (sqrt h1))) (/ (+ h0 h1) (- (sqrt h0) (sqrt h1))) (/ -1 1) (/ (+ h0 h1) (- h0 h1)) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (cbrt (+ h0 h1)) (cbrt (- h0 h1))) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (- h0 h1))) (/ (cbrt (+ h0 h1)) (sqrt (- h0 h1))) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) 1) (/ (cbrt (+ h0 h1)) (- h0 h1)) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (+ (sqrt h0) (sqrt h1))) (/ (cbrt (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) 1) (/ (cbrt (+ h0 h1)) (- h0 h1)) (/ (- (sqrt (+ h0 h1))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (sqrt (+ h0 h1)) (cbrt (- h0 h1))) (/ (- (sqrt (+ h0 h1))) (sqrt (- h0 h1))) (/ (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (/ (- (sqrt (+ h0 h1))) 1) (/ (sqrt (+ h0 h1)) (- h0 h1)) (/ (- (sqrt (+ h0 h1))) (+ (sqrt h0) (sqrt h1))) (/ (sqrt (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ (- (sqrt (+ h0 h1))) 1) (/ (sqrt (+ h0 h1)) (- h0 h1)) (/ (- 1) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (+ h0 h1) (cbrt (- h0 h1))) (/ (- 1) (sqrt (- h0 h1))) (/ (+ h0 h1) (sqrt (- h0 h1))) (/ (- 1) 1) (/ (+ h0 h1) (- h0 h1)) (/ (- 1) (+ (sqrt h0) (sqrt h1))) (/ (+ h0 h1) (- (sqrt h0) (sqrt h1))) (/ (- 1) 1) (/ (+ h0 h1) (- h0 h1)) (/ (- 1) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (+ h0 h1) (cbrt (- h0 h1))) (/ (- 1) (sqrt (- h0 h1))) (/ (+ h0 h1) (sqrt (- h0 h1))) (/ (- 1) 1) (/ (+ h0 h1) (- h0 h1)) (/ (- 1) (+ (sqrt h0) (sqrt h1))) (/ (+ h0 h1) (- (sqrt h0) (sqrt h1))) (/ (- 1) 1) (/ (+ h0 h1) (- h0 h1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (cbrt (+ h0 h1))) (cbrt (- h0 h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt (- h0 h1))) (/ (- (cbrt (+ h0 h1))) (sqrt (- h0 h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (- (cbrt (+ h0 h1))) (- h0 h1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (+ (sqrt h0) (sqrt h1))) (/ (- (cbrt (+ h0 h1))) (- (sqrt h0) (sqrt h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (- (cbrt (+ h0 h1))) (- h0 h1)) (/ (sqrt (+ h0 h1)) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (sqrt (+ h0 h1))) (cbrt (- h0 h1))) (/ (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (/ (- (sqrt (+ h0 h1))) (sqrt (- h0 h1))) (/ (sqrt (+ h0 h1)) 1) (/ (- (sqrt (+ h0 h1))) (- h0 h1)) (/ (sqrt (+ h0 h1)) (+ (sqrt h0) (sqrt h1))) (/ (- (sqrt (+ h0 h1))) (- (sqrt h0) (sqrt h1))) (/ (sqrt (+ h0 h1)) 1) (/ (- (sqrt (+ h0 h1))) (- h0 h1)) (/ 1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (+ h0 h1)) (cbrt (- h0 h1))) (/ 1 (sqrt (- h0 h1))) (/ (- (+ h0 h1)) (sqrt (- h0 h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (+ (sqrt h0) (sqrt h1))) (/ (- (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (+ h0 h1)) (cbrt (- h0 h1))) (/ 1 (sqrt (- h0 h1))) (/ (- (+ h0 h1)) (sqrt (- h0 h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (+ (sqrt h0) (sqrt h1))) (/ (- (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (- h0 h1)) (/ (- h0 h1) (- (+ h0 h1))) (/ (+ h0 h1) (- h0 h1)) (/ (- (+ h0 h1)) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (+ h0 h1)) (sqrt (- h0 h1))) (/ (- (+ h0 h1)) 1) (/ (- (+ h0 h1)) (+ (sqrt h0) (sqrt h1))) (/ (- (+ h0 h1)) 1) (/ (- h0 h1) (cbrt (- (+ h0 h1)))) (/ (- h0 h1) (sqrt (- (+ h0 h1)))) (/ (- h0 h1) (- (+ h0 h1))) (/ (- h0 h1) (+ h0 h1)) (/ (- h0 h1) (cbrt (+ h0 h1))) (/ (- h0 h1) (sqrt (+ h0 h1))) (/ (- h0 h1) (+ h0 h1)) (/ (- h0 h1) (+ h0 h1)) (/ (- h0 h1) (- (cbrt (+ h0 h1)))) (/ (- h0 h1) (- (sqrt (+ h0 h1)))) (/ (- h0 h1) (- (+ h0 h1))) (/ (- h0 h1) (- (+ h0 h1))) (/ (- (+ h0 h1)) (- (pow h0 3) (pow h1 3))) (/ (- (+ h0 h1)) (- (* h0 h0) (* h1 h1))) (* (- h0 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (- h0 h1) (- h0 h1)) 1 -1 -1 0.496 * * [simplify]: iteration 0 : 288 enodes (cost 764 ) 0.500 * * [simplify]: iteration 1 : 915 enodes (cost 748 ) 0.513 * * [simplify]: iteration 2 : 2934 enodes (cost 733 ) 0.550 * * [simplify]: iteration 3 : 5002 enodes (cost 733 ) 0.554 * * * [progress]: adding candidates to table 0.694 * * [progress]: iteration 2 / 4 0.694 * * * [progress]: picking best candidate 0.701 * * * * [pick]: Picked # 0.701 * * * [progress]: localizing error 0.708 * * * [progress]: generating rewritten candidates 0.708 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.736 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.800 * * * [progress]: generating series expansions 0.800 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.800 * [backup-simplify]: Simplify (/ (- f n) (- (+ f n))) into (* -1 (/ (- f n) (+ n f))) 0.800 * [approximate]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in (f n) around 0 0.800 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in n 0.800 * [taylor]: Taking taylor expansion of -1 in n 0.800 * [backup-simplify]: Simplify -1 into -1 0.800 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 0.800 * [taylor]: Taking taylor expansion of (- f n) in n 0.800 * [taylor]: Taking taylor expansion of f in n 0.800 * [backup-simplify]: Simplify f into f 0.800 * [taylor]: Taking taylor expansion of n in n 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [taylor]: Taking taylor expansion of (+ n f) in n 0.801 * [taylor]: Taking taylor expansion of n in n 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 1 into 1 0.801 * [taylor]: Taking taylor expansion of f in n 0.801 * [backup-simplify]: Simplify f into f 0.801 * [backup-simplify]: Simplify (- 0) into 0 0.801 * [backup-simplify]: Simplify (+ f 0) into f 0.801 * [backup-simplify]: Simplify (+ 0 f) into f 0.801 * [backup-simplify]: Simplify (/ f f) into 1 0.801 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 0.801 * [taylor]: Taking taylor expansion of -1 in f 0.801 * [backup-simplify]: Simplify -1 into -1 0.801 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.801 * [taylor]: Taking taylor expansion of (- f n) in f 0.801 * [taylor]: Taking taylor expansion of f in f 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 1 into 1 0.801 * [taylor]: Taking taylor expansion of n in f 0.801 * [backup-simplify]: Simplify n into n 0.801 * [taylor]: Taking taylor expansion of (+ n f) in f 0.801 * [taylor]: Taking taylor expansion of n in f 0.801 * [backup-simplify]: Simplify n into n 0.801 * [taylor]: Taking taylor expansion of f in f 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (- n) into (- n) 0.801 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.801 * [backup-simplify]: Simplify (+ n 0) into n 0.801 * [backup-simplify]: Simplify (/ (- n) n) into -1 0.802 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 0.802 * [taylor]: Taking taylor expansion of -1 in f 0.802 * [backup-simplify]: Simplify -1 into -1 0.802 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.802 * [taylor]: Taking taylor expansion of (- f n) in f 0.802 * [taylor]: Taking taylor expansion of f in f 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [taylor]: Taking taylor expansion of n in f 0.802 * [backup-simplify]: Simplify n into n 0.802 * [taylor]: Taking taylor expansion of (+ n f) in f 0.802 * [taylor]: Taking taylor expansion of n in f 0.802 * [backup-simplify]: Simplify n into n 0.802 * [taylor]: Taking taylor expansion of f in f 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [backup-simplify]: Simplify (- n) into (- n) 0.802 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.802 * [backup-simplify]: Simplify (+ n 0) into n 0.802 * [backup-simplify]: Simplify (/ (- n) n) into -1 0.802 * [backup-simplify]: Simplify (* -1 -1) into 1 0.802 * [taylor]: Taking taylor expansion of 1 in n 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (- 0) into 0 0.803 * [backup-simplify]: Simplify (+ 1 0) into 1 0.803 * [backup-simplify]: Simplify (+ 0 1) into 1 0.803 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 0.803 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 0.803 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.803 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.804 * [taylor]: Taking taylor expansion of 2 in n 0.804 * [backup-simplify]: Simplify 2 into 2 0.804 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.804 * [taylor]: Taking taylor expansion of n in n 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 1 into 1 0.804 * [backup-simplify]: Simplify (/ 1 1) into 1 0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.805 * [backup-simplify]: Simplify (- 0) into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify (- 0) into 0 0.805 * [backup-simplify]: Simplify (+ 0 0) into 0 0.806 * [backup-simplify]: Simplify (+ 0 0) into 0 0.806 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 0.806 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.806 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.806 * [taylor]: Taking taylor expansion of 2 in n 0.806 * [backup-simplify]: Simplify 2 into 2 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.806 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.806 * [taylor]: Taking taylor expansion of n in n 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 1 into 1 0.807 * [backup-simplify]: Simplify (* 1 1) into 1 0.807 * [backup-simplify]: Simplify (/ 1 1) into 1 0.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.809 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.810 * [backup-simplify]: Simplify (- 0) into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify (- 0) into 0 0.811 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [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))) 0.812 * [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)))) 0.812 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.812 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.812 * [taylor]: Taking taylor expansion of 2 in n 0.812 * [backup-simplify]: Simplify 2 into 2 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.812 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.812 * [taylor]: Taking taylor expansion of n in n 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 1 into 1 0.812 * [backup-simplify]: Simplify (* 1 1) into 1 0.813 * [backup-simplify]: Simplify (* 1 1) into 1 0.813 * [backup-simplify]: Simplify (/ 1 1) into 1 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (- 0) into 0 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 0.824 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 0.824 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 0.824 * [taylor]: Taking taylor expansion of -1 in n 0.824 * [backup-simplify]: Simplify -1 into -1 0.824 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 0.824 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.824 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.824 * [taylor]: Taking taylor expansion of f in n 0.824 * [backup-simplify]: Simplify f into f 0.824 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.824 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.824 * [taylor]: Taking taylor expansion of n in n 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (/ 1 1) into 1 0.824 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.824 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.824 * [taylor]: Taking taylor expansion of f in n 0.824 * [backup-simplify]: Simplify f into f 0.824 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.824 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.824 * [taylor]: Taking taylor expansion of n in n 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (/ 1 1) into 1 0.825 * [backup-simplify]: Simplify (- 1) into -1 0.825 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.825 * [backup-simplify]: Simplify (+ 0 1) into 1 0.826 * [backup-simplify]: Simplify (/ -1 1) into -1 0.826 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 0.826 * [taylor]: Taking taylor expansion of -1 in f 0.826 * [backup-simplify]: Simplify -1 into -1 0.826 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.826 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.826 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.826 * [taylor]: Taking taylor expansion of f in f 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (/ 1 1) into 1 0.826 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.826 * [taylor]: Taking taylor expansion of n in f 0.826 * [backup-simplify]: Simplify n into n 0.826 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.826 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.826 * [taylor]: Taking taylor expansion of f in f 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (/ 1 1) into 1 0.826 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.826 * [taylor]: Taking taylor expansion of n in f 0.826 * [backup-simplify]: Simplify n into n 0.826 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.827 * [backup-simplify]: Simplify (+ 1 0) into 1 0.827 * [backup-simplify]: Simplify (+ 1 0) into 1 0.827 * [backup-simplify]: Simplify (/ 1 1) into 1 0.827 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 0.827 * [taylor]: Taking taylor expansion of -1 in f 0.827 * [backup-simplify]: Simplify -1 into -1 0.827 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.827 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.827 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.827 * [taylor]: Taking taylor expansion of f in f 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (/ 1 1) into 1 0.828 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.828 * [taylor]: Taking taylor expansion of n in f 0.828 * [backup-simplify]: Simplify n into n 0.828 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.828 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.828 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.828 * [taylor]: Taking taylor expansion of f in f 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (/ 1 1) into 1 0.828 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.828 * [taylor]: Taking taylor expansion of n in f 0.828 * [backup-simplify]: Simplify n into n 0.828 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.828 * [backup-simplify]: Simplify (+ 1 0) into 1 0.829 * [backup-simplify]: Simplify (+ 1 0) into 1 0.829 * [backup-simplify]: Simplify (/ 1 1) into 1 0.829 * [backup-simplify]: Simplify (* -1 1) into -1 0.829 * [taylor]: Taking taylor expansion of -1 in n 0.829 * [backup-simplify]: Simplify -1 into -1 0.829 * [backup-simplify]: Simplify -1 into -1 0.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.830 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.830 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 0.831 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 1)) into (* 2 (/ 1 n)) 0.831 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.831 * [taylor]: Taking taylor expansion of 2 in n 0.831 * [backup-simplify]: Simplify 2 into 2 0.831 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.831 * [taylor]: Taking taylor expansion of n in n 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 1 into 1 0.831 * [backup-simplify]: Simplify (/ 1 1) into 1 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.833 * [backup-simplify]: Simplify (- 0) into 0 0.833 * [backup-simplify]: Simplify (+ 0 0) into 0 0.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.834 * [backup-simplify]: Simplify (+ 0 0) into 0 0.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 0.835 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.835 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.835 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.835 * [taylor]: Taking taylor expansion of 2 in n 0.835 * [backup-simplify]: Simplify 2 into 2 0.835 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.835 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.835 * [taylor]: Taking taylor expansion of n in n 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify (* 1 1) into 1 0.836 * [backup-simplify]: Simplify (/ 1 1) into 1 0.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.838 * [backup-simplify]: Simplify (- 0) into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.840 * [backup-simplify]: Simplify (- 0) into 0 0.840 * [backup-simplify]: Simplify (+ 0 0) into 0 0.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.841 * [backup-simplify]: Simplify (+ 0 0) into 0 0.842 * [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)))) 0.843 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1)))) into (* 2 (/ 1 (pow n 3))) 0.843 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.843 * [taylor]: Taking taylor expansion of 2 in n 0.843 * [backup-simplify]: Simplify 2 into 2 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.843 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.843 * [taylor]: Taking taylor expansion of n in n 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [backup-simplify]: Simplify (* 1 1) into 1 0.843 * [backup-simplify]: Simplify (* 1 1) into 1 0.843 * [backup-simplify]: Simplify (/ 1 1) into 1 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify -1 into -1 0.848 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 0.848 * [approximate]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 0.849 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 0.849 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.849 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.849 * [taylor]: Taking taylor expansion of n in n 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (/ 1 1) into 1 0.849 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.849 * [taylor]: Taking taylor expansion of f in n 0.849 * [backup-simplify]: Simplify f into f 0.849 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.849 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.849 * [taylor]: Taking taylor expansion of f in n 0.849 * [backup-simplify]: Simplify f into f 0.849 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.849 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.849 * [taylor]: Taking taylor expansion of n in n 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (/ 1 1) into 1 0.850 * [backup-simplify]: Simplify (+ 1 0) into 1 0.850 * [backup-simplify]: Simplify (+ 0 1) into 1 0.850 * [backup-simplify]: Simplify (/ 1 1) into 1 0.850 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.850 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.850 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.850 * [taylor]: Taking taylor expansion of n in f 0.850 * [backup-simplify]: Simplify n into n 0.850 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.850 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.850 * [taylor]: Taking taylor expansion of f in f 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify (/ 1 1) into 1 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.850 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.850 * [taylor]: Taking taylor expansion of f in f 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (/ 1 1) into 1 0.851 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.851 * [taylor]: Taking taylor expansion of n in f 0.851 * [backup-simplify]: Simplify n into n 0.851 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.851 * [backup-simplify]: Simplify (- 1) into -1 0.851 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.852 * [backup-simplify]: Simplify (+ 1 0) into 1 0.852 * [backup-simplify]: Simplify (/ -1 1) into -1 0.852 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.852 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.852 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.852 * [taylor]: Taking taylor expansion of n in f 0.852 * [backup-simplify]: Simplify n into n 0.852 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.852 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.852 * [taylor]: Taking taylor expansion of f in f 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [backup-simplify]: Simplify (/ 1 1) into 1 0.852 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.852 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.852 * [taylor]: Taking taylor expansion of f in f 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.853 * [backup-simplify]: Simplify (/ 1 1) into 1 0.853 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.853 * [taylor]: Taking taylor expansion of n in f 0.853 * [backup-simplify]: Simplify n into n 0.853 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.853 * [backup-simplify]: Simplify (- 1) into -1 0.853 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.853 * [backup-simplify]: Simplify (+ 1 0) into 1 0.854 * [backup-simplify]: Simplify (/ -1 1) into -1 0.854 * [taylor]: Taking taylor expansion of -1 in n 0.854 * [backup-simplify]: Simplify -1 into -1 0.854 * [backup-simplify]: Simplify -1 into -1 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (- 0) into 0 0.854 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.855 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 0.855 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.855 * [taylor]: Taking taylor expansion of 2 in n 0.855 * [backup-simplify]: Simplify 2 into 2 0.855 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.855 * [taylor]: Taking taylor expansion of n in n 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (/ 1 1) into 1 0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (- 0) into 0 0.857 * [backup-simplify]: Simplify (+ 0 0) into 0 0.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.858 * [backup-simplify]: Simplify (+ 0 0) into 0 0.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.859 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.859 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.859 * [taylor]: Taking taylor expansion of 2 in n 0.859 * [backup-simplify]: Simplify 2 into 2 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.859 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.859 * [taylor]: Taking taylor expansion of n in n 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 1 into 1 0.859 * [backup-simplify]: Simplify (* 1 1) into 1 0.859 * [backup-simplify]: Simplify (/ 1 1) into 1 0.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.862 * [backup-simplify]: Simplify (- 0) into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.863 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.864 * [backup-simplify]: Simplify (- 0) into 0 0.864 * [backup-simplify]: Simplify (+ 0 0) into 0 0.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.865 * [backup-simplify]: Simplify (+ 0 0) into 0 0.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 0.866 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.866 * [taylor]: Taking taylor expansion of 2 in n 0.866 * [backup-simplify]: Simplify 2 into 2 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.867 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.867 * [taylor]: Taking taylor expansion of n in n 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (* 1 1) into 1 0.867 * [backup-simplify]: Simplify (* 1 1) into 1 0.867 * [backup-simplify]: Simplify (/ 1 1) into 1 0.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify -1 into -1 0.872 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.873 * [backup-simplify]: Simplify (/ 1 (/ (- f n) (- (+ f n)))) into (* -1 (/ (+ n f) (- f n))) 0.873 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.873 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.873 * [taylor]: Taking taylor expansion of -1 in n 0.873 * [backup-simplify]: Simplify -1 into -1 0.873 * [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 0.874 * [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 * [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 0.875 * [backup-simplify]: Simplify (- 0) into 0 0.875 * [backup-simplify]: Simplify (+ 1 0) into 1 0.875 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.876 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.876 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.876 * [taylor]: Taking taylor expansion of 2 in n 0.876 * [backup-simplify]: Simplify 2 into 2 0.876 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.876 * [taylor]: Taking taylor expansion of n in n 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 1 into 1 0.876 * [backup-simplify]: Simplify (/ 1 1) into 1 0.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.877 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify (+ 0 0) into 0 0.877 * [backup-simplify]: Simplify (- 0) into 0 0.878 * [backup-simplify]: Simplify (+ 0 0) into 0 0.878 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.878 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.878 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.878 * [taylor]: Taking taylor expansion of 2 in n 0.878 * [backup-simplify]: Simplify 2 into 2 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.878 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.878 * [taylor]: Taking taylor expansion of n in n 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.879 * [backup-simplify]: Simplify (* 1 1) into 1 0.879 * [backup-simplify]: Simplify (/ 1 1) into 1 0.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.881 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify (+ 0 0) into 0 0.883 * [backup-simplify]: Simplify (- 0) into 0 0.883 * [backup-simplify]: Simplify (+ 0 0) into 0 0.883 * [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)))) 0.884 * [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))) 0.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.884 * [taylor]: Taking taylor expansion of 2 in n 0.884 * [backup-simplify]: Simplify 2 into 2 0.884 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.884 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.884 * [taylor]: Taking taylor expansion of n in n 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 1 into 1 0.884 * [backup-simplify]: Simplify (* 1 1) into 1 0.884 * [backup-simplify]: Simplify (* 1 1) into 1 0.885 * [backup-simplify]: Simplify (/ 1 1) into 1 0.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify (/ 1 (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.890 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.890 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.890 * [taylor]: Taking taylor expansion of -1 in n 0.890 * [backup-simplify]: Simplify -1 into -1 0.890 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.890 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.890 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.890 * [taylor]: Taking taylor expansion of f in n 0.890 * [backup-simplify]: Simplify f into f 0.890 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.890 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.890 * [taylor]: Taking taylor expansion of n in n 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify (/ 1 1) into 1 0.890 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.890 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.890 * [taylor]: Taking taylor expansion of f in n 0.890 * [backup-simplify]: Simplify f into f 0.890 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.890 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.890 * [taylor]: Taking taylor expansion of n in n 0.890 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.891 * [backup-simplify]: Simplify (/ 1 1) into 1 0.891 * [backup-simplify]: Simplify (+ 0 1) into 1 0.891 * [backup-simplify]: Simplify (- 1) into -1 0.891 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.892 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.892 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.892 * [taylor]: Taking taylor expansion of -1 in f 0.892 * [backup-simplify]: Simplify -1 into -1 0.892 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.892 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.892 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.892 * [taylor]: Taking taylor expansion of f in f 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 1 into 1 0.892 * [backup-simplify]: Simplify (/ 1 1) into 1 0.892 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.892 * [taylor]: Taking taylor expansion of n in f 0.892 * [backup-simplify]: Simplify n into n 0.892 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.892 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.892 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.892 * [taylor]: Taking taylor expansion of f in f 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 1 into 1 0.893 * [backup-simplify]: Simplify (/ 1 1) into 1 0.893 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.893 * [taylor]: Taking taylor expansion of n in f 0.893 * [backup-simplify]: Simplify n into n 0.893 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.893 * [backup-simplify]: Simplify (+ 1 0) into 1 0.893 * [backup-simplify]: Simplify (+ 1 0) into 1 0.893 * [backup-simplify]: Simplify (/ 1 1) into 1 0.894 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.894 * [taylor]: Taking taylor expansion of -1 in f 0.894 * [backup-simplify]: Simplify -1 into -1 0.894 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.894 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.894 * [taylor]: Taking taylor expansion of f in f 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 n) in f 0.894 * [taylor]: Taking taylor expansion of n in f 0.894 * [backup-simplify]: Simplify n into n 0.894 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.894 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.894 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.894 * [taylor]: Taking taylor expansion of f in f 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 n) in f 0.894 * [taylor]: Taking taylor expansion of n in f 0.894 * [backup-simplify]: Simplify n into n 0.894 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.895 * [backup-simplify]: Simplify (+ 1 0) into 1 0.895 * [backup-simplify]: Simplify (+ 1 0) into 1 0.895 * [backup-simplify]: Simplify (/ 1 1) into 1 0.895 * [backup-simplify]: Simplify (* -1 1) into -1 0.895 * [taylor]: Taking taylor expansion of -1 in n 0.895 * [backup-simplify]: Simplify -1 into -1 0.895 * [backup-simplify]: Simplify -1 into -1 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.896 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.897 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.897 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.897 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.897 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.897 * [taylor]: Taking taylor expansion of 2 in n 0.897 * [backup-simplify]: Simplify 2 into 2 0.897 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.897 * [taylor]: Taking taylor expansion of n in n 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.897 * [backup-simplify]: Simplify (/ 1 1) into 1 0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.898 * [backup-simplify]: Simplify (- 0) into 0 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.899 * [backup-simplify]: Simplify (+ 0 0) into 0 0.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.900 * [backup-simplify]: Simplify (- 0) into 0 0.900 * [backup-simplify]: Simplify (+ 0 0) into 0 0.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.901 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.901 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.901 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) 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 (pow n 2)) in n 0.901 * [taylor]: Taking taylor expansion of (pow n 2) 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 0.902 * [backup-simplify]: Simplify (* 1 1) into 1 0.902 * [backup-simplify]: Simplify (/ 1 1) into 1 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.904 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.904 * [backup-simplify]: Simplify (- 0) into 0 0.904 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.905 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.906 * [backup-simplify]: Simplify (- 0) into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.907 * [backup-simplify]: Simplify (+ 0 0) into 0 0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.907 * [backup-simplify]: Simplify (- 0) into 0 0.908 * [backup-simplify]: Simplify (+ 0 0) into 0 0.909 * [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))) 0.909 * [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)))) 0.909 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.909 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.909 * [taylor]: Taking taylor expansion of 2 in n 0.909 * [backup-simplify]: Simplify 2 into 2 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.909 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.909 * [taylor]: Taking taylor expansion of n in n 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (* 1 1) into 1 0.910 * [backup-simplify]: Simplify (* 1 1) into 1 0.910 * [backup-simplify]: Simplify (/ 1 1) into 1 0.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (- 0) into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify -1 into -1 0.918 * [backup-simplify]: Simplify (/ 1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.918 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.918 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.918 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.918 * [taylor]: Taking taylor expansion of f in n 0.918 * [backup-simplify]: Simplify f into f 0.918 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.918 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.918 * [taylor]: Taking taylor expansion of n in n 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.918 * [backup-simplify]: Simplify (/ 1 1) into 1 0.918 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.918 * [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 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 * [backup-simplify]: Simplify (+ 0 1) into 1 0.919 * [backup-simplify]: Simplify (+ 1 0) into 1 0.920 * [backup-simplify]: Simplify (/ 1 1) into 1 0.920 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.920 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.920 * [taylor]: Taking taylor expansion of f in f 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 n) in f 0.920 * [taylor]: Taking taylor expansion of n in f 0.920 * [backup-simplify]: Simplify n into n 0.920 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.920 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.920 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.920 * [taylor]: Taking taylor expansion of n in f 0.920 * [backup-simplify]: Simplify n into n 0.920 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.920 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.920 * [taylor]: Taking taylor expansion of f in f 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 0.921 * [backup-simplify]: Simplify (+ 1 0) into 1 0.921 * [backup-simplify]: Simplify (- 1) into -1 0.921 * [backup-simplify]: Simplify (+ 0 -1) 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 0.922 * [backup-simplify]: Simplify (/ 1 1) into 1 0.922 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.922 * [taylor]: Taking taylor expansion of n in f 0.922 * [backup-simplify]: Simplify n into n 0.922 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.922 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.922 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.922 * [taylor]: Taking taylor expansion of n in f 0.922 * [backup-simplify]: Simplify n into n 0.922 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 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 0.922 * [backup-simplify]: Simplify (/ 1 1) into 1 0.922 * [backup-simplify]: Simplify (+ 1 0) into 1 0.923 * [backup-simplify]: Simplify (- 1) into -1 0.923 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.923 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.923 * [taylor]: Taking taylor expansion of -1 in n 0.923 * [backup-simplify]: Simplify -1 into -1 0.924 * [backup-simplify]: Simplify -1 into -1 0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.924 * [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 0.925 * [taylor]: Taking taylor expansion of 2 in n 0.925 * [backup-simplify]: Simplify 2 into 2 0.925 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.925 * [taylor]: Taking taylor expansion of n in n 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [backup-simplify]: Simplify (/ 1 1) into 1 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.926 * [backup-simplify]: Simplify (- 0) into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [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 0.927 * [backup-simplify]: Simplify (+ 0 0) into 0 0.927 * [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 0.928 * [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 0.929 * [backup-simplify]: Simplify (* 1 1) into 1 0.929 * [backup-simplify]: Simplify (/ 1 1) into 1 0.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.931 * [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 0.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.933 * [backup-simplify]: Simplify (- 0) into 0 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [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 0.934 * [backup-simplify]: Simplify (+ 0 0) into 0 0.934 * [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 0.935 * [backup-simplify]: Simplify (+ 0 0) into 0 0.936 * [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)))) 0.936 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.936 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.936 * [taylor]: Taking taylor expansion of 2 in n 0.936 * [backup-simplify]: Simplify 2 into 2 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.936 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.936 * [taylor]: Taking taylor expansion of n in n 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (* 1 1) into 1 0.937 * [backup-simplify]: Simplify (* 1 1) into 1 0.937 * [backup-simplify]: Simplify (/ 1 1) into 1 0.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.941 * [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 0.942 * [backup-simplify]: Simplify (- 0) into 0 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify -1 into -1 0.942 * * * [progress]: simplifying candidates 0.948 * [simplify]: Simplifying: (- (log (- f n)) (log (- (+ f n)))) (log (/ (- f n) (- (+ f n)))) (exp (/ (- f n) (- (+ f n)))) (/ 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h0 h1)) (cbrt (- h0 h1))) (- (sqrt (+ h0 h1))))) (/ 1 (/ (cbrt (- h0 h1)) (sqrt (+ h0 h1)))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (- 1))) (/ 1 (/ (cbrt (- h0 h1)) (+ h0 h1))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (- 1))) (/ 1 (/ (cbrt (- h0 h1)) (+ h0 h1))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ 1 (/ (cbrt (- h0 h1)) (- (cbrt (+ h0 h1))))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (sqrt (+ h0 h1)))) (/ 1 (/ (cbrt (- h0 h1)) (- (sqrt (+ h0 h1))))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ 1 (/ (cbrt (- h0 h1)) (- (+ h0 h1)))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ 1 (/ (cbrt (- h0 h1)) (- (+ h0 h1)))) (/ 1 (/ (sqrt (- h0 h1)) (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))))) (/ 1 (/ (sqrt (- h0 h1)) (cbrt (- (+ h0 h1))))) (/ 1 (/ (sqrt (- h0 h1)) (sqrt (- (+ h0 h1))))) (/ 1 (/ (sqrt (- h0 h1)) (sqrt (- (+ h0 h1))))) (/ 1 (/ (sqrt (- h0 h1)) 1)) (/ 1 (/ (sqrt (- h0 h1)) (- (+ h0 h1)))) (/ 1 (/ (sqrt (- h0 h1)) -1)) (/ 1 (/ (sqrt (- h0 h1)) (+ h0 h1))) (/ 1 (/ (sqrt (- h0 h1)) (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))))) (/ 1 (/ (sqrt (- h0 h1)) (cbrt (+ h0 h1)))) (/ 1 (/ (sqrt (- h0 h1)) (- (sqrt (+ h0 h1))))) (/ 1 (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1)))) (/ 1 (/ (sqrt (- h0 h1)) (- 1))) (/ 1 (/ (sqrt (- h0 h1)) (+ h0 h1))) (/ 1 (/ (sqrt (- h0 h1)) (- 1))) (/ 1 (/ (sqrt (- h0 h1)) (+ h0 h1))) (/ 1 (/ (sqrt (- h0 h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ 1 (/ (sqrt (- h0 h1)) (- (cbrt (+ h0 h1))))) (/ 1 (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1)))) (/ 1 (/ (sqrt (- h0 h1)) (- (sqrt (+ h0 h1))))) (/ 1 (/ (sqrt (- h0 h1)) 1)) (/ 1 (/ (sqrt (- h0 h1)) (- (+ h0 h1)))) (/ 1 (/ (sqrt (- h0 h1)) 1)) (/ 1 (/ (sqrt (- h0 h1)) (- (+ h0 h1)))) (/ 1 (/ 1 (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))))) (/ 1 (/ (- h0 h1) (cbrt (- (+ h0 h1))))) (/ 1 (/ 1 (sqrt (- (+ h0 h1))))) (/ 1 (/ (- h0 h1) (sqrt (- (+ h0 h1))))) (/ 1 (/ 1 1)) (/ 1 (/ (- h0 h1) (- (+ h0 h1)))) (/ 1 (/ 1 -1)) (/ 1 (/ (- h0 h1) (+ h0 h1))) (/ 1 (/ 1 (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))))) (/ 1 (/ (- h0 h1) (cbrt (+ h0 h1)))) (/ 1 (/ 1 (- (sqrt (+ h0 h1))))) (/ 1 (/ (- h0 h1) (sqrt (+ h0 h1)))) (/ 1 (/ 1 (- 1))) (/ 1 (/ (- h0 h1) (+ h0 h1))) (/ 1 (/ 1 (- 1))) (/ 1 (/ (- h0 h1) (+ h0 h1))) (/ 1 (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ 1 (/ (- h0 h1) (- (cbrt (+ h0 h1))))) (/ 1 (/ 1 (sqrt (+ h0 h1)))) (/ 1 (/ (- h0 h1) (- (sqrt (+ h0 h1))))) (/ 1 (/ 1 1)) (/ 1 (/ (- h0 h1) (- (+ h0 h1)))) (/ 1 (/ 1 1)) (/ 1 (/ (- h0 h1) (- (+ h0 h1)))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))))) (/ 1 (/ (- (sqrt h0) (sqrt h1)) (cbrt (- (+ h0 h1))))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (sqrt (- (+ h0 h1))))) (/ 1 (/ (- (sqrt h0) (sqrt h1)) (sqrt (- (+ h0 h1))))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ 1 (/ (- (sqrt h0) (sqrt h1)) (- (+ h0 h1)))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) -1)) (/ 1 (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))))) (/ 1 (/ (- (sqrt h0) (sqrt h1)) (cbrt (+ h0 h1)))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (- (sqrt (+ h0 h1))))) (/ 1 (/ (- (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (- 1))) (/ 1 (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (- 1))) (/ 1 (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ 1 (/ (- (sqrt h0) (sqrt h1)) (- (cbrt (+ h0 h1))))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (/ 1 (/ (- (sqrt h0) (sqrt h1)) (- (sqrt (+ h0 h1))))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ 1 (/ (- (sqrt h0) (sqrt h1)) (- (+ h0 h1)))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ 1 (/ (- (sqrt h0) (sqrt h1)) (- (+ h0 h1)))) (/ 1 (/ 1 (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))))) (/ 1 (/ (- h0 h1) (cbrt (- (+ h0 h1))))) (/ 1 (/ 1 (sqrt (- (+ h0 h1))))) (/ 1 (/ (- h0 h1) (sqrt (- (+ h0 h1))))) (/ 1 (/ 1 1)) (/ 1 (/ (- h0 h1) (- (+ h0 h1)))) (/ 1 (/ 1 -1)) (/ 1 (/ (- h0 h1) (+ h0 h1))) (/ 1 (/ 1 (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))))) (/ 1 (/ (- h0 h1) (cbrt (+ h0 h1)))) (/ 1 (/ 1 (- (sqrt (+ h0 h1))))) (/ 1 (/ (- h0 h1) (sqrt (+ h0 h1)))) (/ 1 (/ 1 (- 1))) (/ 1 (/ (- h0 h1) (+ h0 h1))) (/ 1 (/ 1 (- 1))) (/ 1 (/ (- h0 h1) (+ h0 h1))) (/ 1 (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ 1 (/ (- h0 h1) (- (cbrt (+ h0 h1))))) (/ 1 (/ 1 (sqrt (+ h0 h1)))) (/ 1 (/ (- h0 h1) (- (sqrt (+ h0 h1))))) (/ 1 (/ 1 1)) (/ 1 (/ (- h0 h1) (- (+ h0 h1)))) (/ 1 (/ 1 1)) (/ 1 (/ (- h0 h1) (- (+ h0 h1)))) (/ 1 1) (/ 1 (/ (- h0 h1) (- (+ h0 h1)))) (/ 1 (- h0 h1)) (/ 1 (/ 1 (- (+ h0 h1)))) (/ 1 (/ (- h0 h1) (- (+ (pow h0 3) (pow h1 3))))) (/ 1 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (/ 1 (/ (- h0 h1) (- (- (* h0 h0) (* h1 h1))))) (/ 1 (- h0 h1)) (/ 1 (/ (- h0 h1) (- (+ h0 h1)))) (/ (/ (- h0 h1) (- (+ h0 h1))) 1) (/ 1 (* (cbrt (/ (- h0 h1) (- (+ h0 h1)))) (cbrt (/ (- h0 h1) (- (+ h0 h1)))))) (/ 1 (sqrt (/ (- h0 h1) (- (+ h0 h1))))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (sqrt (- (+ h0 h1))))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) -1)) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (- (sqrt (+ h0 h1))))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (- 1))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (- 1))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (sqrt (+ h0 h1)))) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ 1 (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (/ 1 (/ (sqrt (- h0 h1)) (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))))) (/ 1 (/ (sqrt (- h0 h1)) (sqrt (- (+ h0 h1))))) (/ 1 (/ (sqrt (- h0 h1)) 1)) (/ 1 (/ (sqrt (- h0 h1)) -1)) (/ 1 (/ (sqrt (- h0 h1)) (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))))) (/ 1 (/ (sqrt (- h0 h1)) (- (sqrt (+ h0 h1))))) (/ 1 (/ (sqrt (- h0 h1)) (- 1))) (/ 1 (/ (sqrt (- h0 h1)) (- 1))) (/ 1 (/ (sqrt (- h0 h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ 1 (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1)))) (/ 1 (/ (sqrt (- h0 h1)) 1)) (/ 1 (/ (sqrt (- h0 h1)) 1)) (/ 1 (/ 1 (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))))) (/ 1 (/ 1 (sqrt (- (+ h0 h1))))) (/ 1 (/ 1 1)) (/ 1 (/ 1 -1)) (/ 1 (/ 1 (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))))) (/ 1 (/ 1 (- (sqrt (+ h0 h1))))) (/ 1 (/ 1 (- 1))) (/ 1 (/ 1 (- 1))) (/ 1 (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ 1 (/ 1 (sqrt (+ h0 h1)))) (/ 1 (/ 1 1)) (/ 1 (/ 1 1)) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (sqrt (- (+ h0 h1))))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) -1)) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (- (sqrt (+ h0 h1))))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (- 1))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (- 1))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ 1 (/ (+ (sqrt h0) (sqrt h1)) 1)) (/ 1 (/ 1 (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))))) (/ 1 (/ 1 (sqrt (- (+ h0 h1))))) (/ 1 (/ 1 1)) (/ 1 (/ 1 -1)) (/ 1 (/ 1 (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))))) (/ 1 (/ 1 (- (sqrt (+ h0 h1))))) (/ 1 (/ 1 (- 1))) (/ 1 (/ 1 (- 1))) (/ 1 (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (/ 1 (/ 1 (sqrt (+ h0 h1)))) (/ 1 (/ 1 1)) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- h0 h1)) (/ 1 (/ (- h0 h1) (- (+ (pow h0 3) (pow h1 3))))) (/ 1 (/ (- h0 h1) (- (- (* h0 h0) (* h1 h1))))) (/ (/ (- h0 h1) (- (+ h0 h1))) (cbrt 1)) (/ (/ (- h0 h1) (- (+ h0 h1))) (sqrt 1)) (/ (/ (- h0 h1) (- (+ h0 h1))) 1) (/ 1 (- h0 h1)) 1 -1 -1 1 -1 -1 0.963 * * [simplify]: iteration 0 : 925 enodes (cost 3936 ) 0.978 * * [simplify]: iteration 1 : 4346 enodes (cost 3555 ) 1.025 * * [simplify]: iteration 2 : 5001 enodes (cost 3203 ) 1.039 * * * [progress]: adding candidates to table 1.415 * * [progress]: iteration 3 / 4 1.415 * * * [progress]: picking best candidate 1.421 * * * * [pick]: Picked # 1.421 * * * [progress]: localizing error 1.431 * * * [progress]: generating rewritten candidates 1.431 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.455 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.517 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.551 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.628 * * * [progress]: generating series expansions 1.629 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.629 * [backup-simplify]: Simplify (/ (+ f n) (- f n)) into (/ (+ n f) (- f n)) 1.629 * [approximate]: Taking taylor expansion of (/ (+ n f) (- f n)) in (f n) around 0 1.629 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.629 * [taylor]: Taking taylor expansion of (+ n f) in n 1.629 * [taylor]: Taking taylor expansion of n in n 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [taylor]: Taking taylor expansion of f in n 1.629 * [backup-simplify]: Simplify f into f 1.629 * [taylor]: Taking taylor expansion of (- f n) in n 1.629 * [taylor]: Taking taylor expansion of f in n 1.629 * [backup-simplify]: Simplify f into f 1.629 * [taylor]: Taking taylor expansion of n in n 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [backup-simplify]: Simplify (+ 0 f) into f 1.630 * [backup-simplify]: Simplify (- 0) into 0 1.630 * [backup-simplify]: Simplify (+ f 0) into f 1.630 * [backup-simplify]: Simplify (/ f f) into 1 1.630 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.630 * [taylor]: Taking taylor expansion of (+ n f) in f 1.630 * [taylor]: Taking taylor expansion of n in f 1.630 * [backup-simplify]: Simplify n into n 1.630 * [taylor]: Taking taylor expansion of f in f 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [taylor]: Taking taylor expansion of (- f n) in f 1.630 * [taylor]: Taking taylor expansion of f in f 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [taylor]: Taking taylor expansion of n in f 1.630 * [backup-simplify]: Simplify n into n 1.630 * [backup-simplify]: Simplify (+ n 0) into n 1.630 * [backup-simplify]: Simplify (- n) into (- n) 1.630 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.630 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.630 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.630 * [taylor]: Taking taylor expansion of (+ n f) in f 1.630 * [taylor]: Taking taylor expansion of n in f 1.630 * [backup-simplify]: Simplify n into n 1.630 * [taylor]: Taking taylor expansion of f in f 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [taylor]: Taking taylor expansion of (- f n) in f 1.630 * [taylor]: Taking taylor expansion of f in f 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [taylor]: Taking taylor expansion of n in f 1.630 * [backup-simplify]: Simplify n into n 1.630 * [backup-simplify]: Simplify (+ n 0) into n 1.630 * [backup-simplify]: Simplify (- n) into (- n) 1.630 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.630 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.630 * [taylor]: Taking taylor expansion of -1 in n 1.630 * [backup-simplify]: Simplify -1 into -1 1.630 * [backup-simplify]: Simplify -1 into -1 1.631 * [backup-simplify]: Simplify (+ 0 1) into 1 1.631 * [backup-simplify]: Simplify (- 0) into 0 1.631 * [backup-simplify]: Simplify (+ 1 0) into 1 1.631 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.631 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.631 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.631 * [taylor]: Taking taylor expansion of 2 in n 1.631 * [backup-simplify]: Simplify 2 into 2 1.631 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.631 * [taylor]: Taking taylor expansion of n in n 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify 1 into 1 1.632 * [backup-simplify]: Simplify (/ 1 1) into 1 1.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.633 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.633 * [backup-simplify]: Simplify (- 0) into 0 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify (+ 0 0) into 0 1.633 * [backup-simplify]: Simplify (- 0) into 0 1.633 * [backup-simplify]: Simplify (+ 0 0) into 0 1.634 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.634 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.634 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.634 * [taylor]: Taking taylor expansion of 2 in n 1.634 * [backup-simplify]: Simplify 2 into 2 1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.634 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.634 * [taylor]: Taking taylor expansion of n in n 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 1 into 1 1.634 * [backup-simplify]: Simplify (* 1 1) into 1 1.634 * [backup-simplify]: Simplify (/ 1 1) into 1 1.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.637 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.637 * [backup-simplify]: Simplify (- 0) into 0 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.638 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.638 * [backup-simplify]: Simplify (- 0) into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (+ 0 0) into 0 1.639 * [backup-simplify]: Simplify (- 0) into 0 1.639 * [backup-simplify]: Simplify (+ 0 0) into 0 1.639 * [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)))) 1.640 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.640 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.640 * [taylor]: Taking taylor expansion of 2 in n 1.640 * [backup-simplify]: Simplify 2 into 2 1.640 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.640 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.640 * [taylor]: Taking taylor expansion of n in n 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (* 1 1) into 1 1.640 * [backup-simplify]: Simplify (* 1 1) into 1 1.640 * [backup-simplify]: Simplify (/ 1 1) into 1 1.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.645 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.645 * [backup-simplify]: Simplify (- 0) into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify -1 into -1 1.646 * [backup-simplify]: Simplify (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1.646 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in (f n) around 0 1.646 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.646 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.646 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.646 * [taylor]: Taking taylor expansion of f in n 1.646 * [backup-simplify]: Simplify f into f 1.646 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.646 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.646 * [taylor]: Taking taylor expansion of n in n 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify (/ 1 1) into 1 1.646 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.646 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.646 * [taylor]: Taking taylor expansion of f in n 1.646 * [backup-simplify]: Simplify f into f 1.646 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.646 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.646 * [taylor]: Taking taylor expansion of n in n 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify (/ 1 1) into 1 1.647 * [backup-simplify]: Simplify (+ 0 1) into 1 1.647 * [backup-simplify]: Simplify (- 1) into -1 1.647 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.647 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.647 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.648 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.648 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.648 * [taylor]: Taking taylor expansion of f in f 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify (/ 1 1) into 1 1.648 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.648 * [taylor]: Taking taylor expansion of n in f 1.648 * [backup-simplify]: Simplify n into n 1.648 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.648 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.648 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.648 * [taylor]: Taking taylor expansion of f in f 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify (/ 1 1) into 1 1.648 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.648 * [taylor]: Taking taylor expansion of n in f 1.648 * [backup-simplify]: Simplify n into n 1.648 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.649 * [backup-simplify]: Simplify (+ 1 0) into 1 1.649 * [backup-simplify]: Simplify (+ 1 0) into 1 1.649 * [backup-simplify]: Simplify (/ 1 1) into 1 1.649 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.649 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.649 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.649 * [taylor]: Taking taylor expansion of f in f 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [backup-simplify]: Simplify (/ 1 1) into 1 1.649 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.649 * [taylor]: Taking taylor expansion of n in f 1.649 * [backup-simplify]: Simplify n into n 1.649 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.649 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.649 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.649 * [taylor]: Taking taylor expansion of f in f 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 1 into 1 1.650 * [backup-simplify]: Simplify (/ 1 1) into 1 1.650 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.650 * [taylor]: Taking taylor expansion of n in f 1.650 * [backup-simplify]: Simplify n into n 1.650 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.650 * [backup-simplify]: Simplify (+ 1 0) into 1 1.650 * [backup-simplify]: Simplify (+ 1 0) into 1 1.651 * [backup-simplify]: Simplify (/ 1 1) into 1 1.651 * [taylor]: Taking taylor expansion of 1 in n 1.651 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.651 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.652 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.652 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.652 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.652 * [taylor]: Taking taylor expansion of 2 in n 1.652 * [backup-simplify]: Simplify 2 into 2 1.652 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.652 * [taylor]: Taking taylor expansion of n in n 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 1 into 1 1.652 * [backup-simplify]: Simplify (/ 1 1) into 1 1.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.653 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.654 * [backup-simplify]: Simplify (+ 0 0) into 0 1.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.655 * [backup-simplify]: Simplify (- 0) into 0 1.655 * [backup-simplify]: Simplify (+ 0 0) into 0 1.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.656 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.656 * [taylor]: Taking taylor expansion of 2 in n 1.656 * [backup-simplify]: Simplify 2 into 2 1.656 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.656 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.656 * [taylor]: Taking taylor expansion of n in n 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [backup-simplify]: Simplify (* 1 1) into 1 1.656 * [backup-simplify]: Simplify (/ 1 1) into 1 1.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.659 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.660 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.664 * [backup-simplify]: Simplify (+ 0 0) into 0 1.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.665 * [backup-simplify]: Simplify (- 0) into 0 1.665 * [backup-simplify]: Simplify (+ 0 0) into 0 1.666 * [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))) 1.666 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.666 * [taylor]: Taking taylor expansion of 2 in n 1.666 * [backup-simplify]: Simplify 2 into 2 1.666 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.667 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.667 * [taylor]: Taking taylor expansion of n in n 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 1 into 1 1.667 * [backup-simplify]: Simplify (* 1 1) into 1 1.667 * [backup-simplify]: Simplify (* 1 1) into 1 1.667 * [backup-simplify]: Simplify (/ 1 1) into 1 1.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.672 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 1 into 1 1.672 * [backup-simplify]: Simplify (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1.672 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 1.672 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.672 * [taylor]: Taking taylor expansion of -1 in n 1.672 * [backup-simplify]: Simplify -1 into -1 1.672 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.672 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.672 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.672 * [taylor]: Taking taylor expansion of f in n 1.672 * [backup-simplify]: Simplify f into f 1.672 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.672 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.672 * [taylor]: Taking taylor expansion of n in n 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 1 into 1 1.673 * [backup-simplify]: Simplify (/ 1 1) into 1 1.673 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.673 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.673 * [taylor]: Taking taylor expansion of n in n 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [backup-simplify]: Simplify (/ 1 1) into 1 1.673 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.673 * [taylor]: Taking taylor expansion of f in n 1.673 * [backup-simplify]: Simplify f into f 1.673 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.673 * [backup-simplify]: Simplify (+ 0 1) into 1 1.674 * [backup-simplify]: Simplify (+ 1 0) into 1 1.674 * [backup-simplify]: Simplify (/ 1 1) into 1 1.674 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.674 * [taylor]: Taking taylor expansion of -1 in f 1.674 * [backup-simplify]: Simplify -1 into -1 1.674 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.674 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.674 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.674 * [taylor]: Taking taylor expansion of f in f 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 1 into 1 1.674 * [backup-simplify]: Simplify (/ 1 1) into 1 1.674 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.674 * [taylor]: Taking taylor expansion of n in f 1.674 * [backup-simplify]: Simplify n into n 1.674 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.674 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.674 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.674 * [taylor]: Taking taylor expansion of n in f 1.674 * [backup-simplify]: Simplify n into n 1.674 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.674 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.674 * [taylor]: Taking taylor expansion of f in f 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify (/ 1 1) into 1 1.675 * [backup-simplify]: Simplify (+ 1 0) into 1 1.675 * [backup-simplify]: Simplify (- 1) into -1 1.675 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.676 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.676 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.676 * [taylor]: Taking taylor expansion of -1 in f 1.676 * [backup-simplify]: Simplify -1 into -1 1.676 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.676 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.676 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.676 * [taylor]: Taking taylor expansion of f in f 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 1 into 1 1.676 * [backup-simplify]: Simplify (/ 1 1) into 1 1.676 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.676 * [taylor]: Taking taylor expansion of n in f 1.676 * [backup-simplify]: Simplify n into n 1.676 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.676 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.676 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.676 * [taylor]: Taking taylor expansion of n in f 1.676 * [backup-simplify]: Simplify n into n 1.676 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.676 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.676 * [taylor]: Taking taylor expansion of f in f 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 1 into 1 1.676 * [backup-simplify]: Simplify (/ 1 1) into 1 1.677 * [backup-simplify]: Simplify (+ 1 0) into 1 1.677 * [backup-simplify]: Simplify (- 1) into -1 1.677 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.677 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.678 * [backup-simplify]: Simplify (* -1 -1) into 1 1.678 * [taylor]: Taking taylor expansion of 1 in n 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.678 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.679 * [backup-simplify]: Simplify (- 0) into 0 1.679 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.679 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.679 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.679 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.679 * [taylor]: Taking taylor expansion of 2 in n 1.679 * [backup-simplify]: Simplify 2 into 2 1.679 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.679 * [taylor]: Taking taylor expansion of n in n 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify (/ 1 1) into 1 1.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.680 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.681 * [backup-simplify]: Simplify (+ 0 0) into 0 1.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.682 * [backup-simplify]: Simplify (- 0) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.683 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.683 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.683 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.684 * [taylor]: Taking taylor expansion of 2 in n 1.684 * [backup-simplify]: Simplify 2 into 2 1.684 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.684 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.684 * [taylor]: Taking taylor expansion of n in n 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (* 1 1) into 1 1.684 * [backup-simplify]: Simplify (/ 1 1) into 1 1.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.687 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.688 * [backup-simplify]: Simplify (+ 0 0) into 0 1.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.689 * [backup-simplify]: Simplify (- 0) into 0 1.690 * [backup-simplify]: Simplify (+ 0 0) into 0 1.691 * [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)))) 1.691 * [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))) 1.691 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.691 * [taylor]: Taking taylor expansion of 2 in n 1.691 * [backup-simplify]: Simplify 2 into 2 1.691 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.691 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.691 * [taylor]: Taking taylor expansion of n in n 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (* 1 1) into 1 1.692 * [backup-simplify]: Simplify (* 1 1) into 1 1.692 * [backup-simplify]: Simplify (/ 1 1) into 1 1.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.697 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 1 into 1 1.697 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.697 * [backup-simplify]: Simplify (log (/ 1 (exp (/ (+ f n) (- f n))))) into (log (/ 1 (exp (/ (+ n f) (- f n))))) 1.697 * [approximate]: Taking taylor expansion of (log (/ 1 (exp (/ (+ n f) (- f n))))) in (f n) around 0 1.697 * [taylor]: Taking taylor expansion of (log (/ 1 (exp (/ (+ n f) (- f n))))) in n 1.697 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in n 1.697 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in n 1.697 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.697 * [taylor]: Taking taylor expansion of (+ n f) in n 1.697 * [taylor]: Taking taylor expansion of n in n 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 1 into 1 1.697 * [taylor]: Taking taylor expansion of f in n 1.697 * [backup-simplify]: Simplify f into f 1.697 * [taylor]: Taking taylor expansion of (- f n) in n 1.697 * [taylor]: Taking taylor expansion of f in n 1.697 * [backup-simplify]: Simplify f into f 1.697 * [taylor]: Taking taylor expansion of n in n 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 1 into 1 1.697 * [backup-simplify]: Simplify (+ 0 f) into f 1.697 * [backup-simplify]: Simplify (- 0) into 0 1.697 * [backup-simplify]: Simplify (+ f 0) into f 1.698 * [backup-simplify]: Simplify (/ f f) into 1 1.698 * [backup-simplify]: Simplify (exp 1) into E 1.698 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.699 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.699 * [taylor]: Taking taylor expansion of (log (/ 1 (exp (/ (+ n f) (- f n))))) in f 1.699 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in f 1.699 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 1.699 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.699 * [taylor]: Taking taylor expansion of (+ n f) in f 1.699 * [taylor]: Taking taylor expansion of n in f 1.699 * [backup-simplify]: Simplify n into n 1.699 * [taylor]: Taking taylor expansion of f in f 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 1 into 1 1.699 * [taylor]: Taking taylor expansion of (- f n) in f 1.699 * [taylor]: Taking taylor expansion of f in f 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 1 into 1 1.699 * [taylor]: Taking taylor expansion of n in f 1.699 * [backup-simplify]: Simplify n into n 1.699 * [backup-simplify]: Simplify (+ n 0) into n 1.699 * [backup-simplify]: Simplify (- n) into (- n) 1.699 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.699 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.699 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.700 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.701 * [backup-simplify]: Simplify (log (/ 1 (exp -1))) into (log (/ 1 (exp -1))) 1.701 * [taylor]: Taking taylor expansion of (log (/ 1 (exp (/ (+ n f) (- f n))))) in f 1.701 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in f 1.701 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 1.701 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.701 * [taylor]: Taking taylor expansion of (+ n f) in f 1.701 * [taylor]: Taking taylor expansion of n in f 1.701 * [backup-simplify]: Simplify n into n 1.701 * [taylor]: Taking taylor expansion of f in f 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [taylor]: Taking taylor expansion of (- f n) in f 1.701 * [taylor]: Taking taylor expansion of f in f 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [taylor]: Taking taylor expansion of n in f 1.701 * [backup-simplify]: Simplify n into n 1.701 * [backup-simplify]: Simplify (+ n 0) into n 1.701 * [backup-simplify]: Simplify (- n) into (- n) 1.701 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.701 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.701 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.702 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.703 * [backup-simplify]: Simplify (log (/ 1 (exp -1))) into (log (/ 1 (exp -1))) 1.703 * [taylor]: Taking taylor expansion of (log (/ 1 (exp -1))) in n 1.703 * [taylor]: Taking taylor expansion of (/ 1 (exp -1)) in n 1.703 * [taylor]: Taking taylor expansion of (exp -1) in n 1.703 * [taylor]: Taking taylor expansion of -1 in n 1.703 * [backup-simplify]: Simplify -1 into -1 1.703 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.704 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.705 * [backup-simplify]: Simplify (log (/ 1 (exp -1))) into (log (/ 1 (exp -1))) 1.705 * [backup-simplify]: Simplify (log (/ 1 (exp -1))) into (log (/ 1 (exp -1))) 1.706 * [backup-simplify]: Simplify (+ 0 1) into 1 1.706 * [backup-simplify]: Simplify (- 0) into 0 1.707 * [backup-simplify]: Simplify (+ 1 0) into 1 1.707 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.707 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 1.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) n))) 1.710 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 (* (exp -1) n)))) 1)) (pow (/ 1 (exp -1)) 1)))) 1) into (/ 2 n) 1.710 * [taylor]: Taking taylor expansion of (/ 2 n) in n 1.710 * [taylor]: Taking taylor expansion of 2 in n 1.710 * [backup-simplify]: Simplify 2 into 2 1.710 * [taylor]: Taking taylor expansion of n in n 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 1 into 1 1.710 * [backup-simplify]: Simplify (/ 2 1) into 2 1.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))))) into 0 1.713 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (exp -1)) 1)))) 1) into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify (+ 0 0) into 0 1.714 * [backup-simplify]: Simplify (- 0) into 0 1.714 * [backup-simplify]: Simplify (+ 0 0) into 0 1.715 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.715 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 1.716 * [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)))) 1.719 * [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)) 1.719 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 1.719 * [taylor]: Taking taylor expansion of 2 in n 1.719 * [backup-simplify]: Simplify 2 into 2 1.719 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.719 * [taylor]: Taking taylor expansion of n in n 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 1 into 1 1.720 * [backup-simplify]: Simplify (* 1 1) into 1 1.720 * [backup-simplify]: Simplify (/ 2 1) into 2 1.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* 0 (/ 0 (exp -1))))) into 0 1.726 * [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 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify (+ 0 0) into 0 1.726 * [backup-simplify]: Simplify (- 0) into 0 1.726 * [backup-simplify]: Simplify (+ 0 0) into 0 1.727 * [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)))) 1.728 * [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))) 1.730 * [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)))) 1.735 * [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)) 1.735 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 1.735 * [taylor]: Taking taylor expansion of 2 in n 1.735 * [backup-simplify]: Simplify 2 into 2 1.735 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.735 * [taylor]: Taking taylor expansion of n in n 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.735 * [backup-simplify]: Simplify (* 1 1) into 1 1.736 * [backup-simplify]: Simplify (* 1 1) into 1 1.736 * [backup-simplify]: Simplify (/ 2 1) into 2 1.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.740 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify (log (/ 1 (exp -1))) into (log (/ 1 (exp -1))) 1.741 * [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)))))) 1.741 * [approximate]: Taking taylor expansion of (log (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 1.741 * [taylor]: Taking taylor expansion of (log (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 1.741 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.741 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.741 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.741 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.742 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.742 * [taylor]: Taking taylor expansion of f in n 1.742 * [backup-simplify]: Simplify f into f 1.742 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.742 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.742 * [taylor]: Taking taylor expansion of n in n 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify 1 into 1 1.742 * [backup-simplify]: Simplify (/ 1 1) into 1 1.742 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.742 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.742 * [taylor]: Taking taylor expansion of f in n 1.742 * [backup-simplify]: Simplify f into f 1.742 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.742 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.742 * [taylor]: Taking taylor expansion of n in n 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify 1 into 1 1.742 * [backup-simplify]: Simplify (/ 1 1) into 1 1.742 * [backup-simplify]: Simplify (+ 0 1) into 1 1.743 * [backup-simplify]: Simplify (- 1) into -1 1.743 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.743 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.743 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.744 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.745 * [backup-simplify]: Simplify (log (/ 1 (exp -1))) into (log (/ 1 (exp -1))) 1.745 * [taylor]: Taking taylor expansion of (log (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.745 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.745 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.745 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.745 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.745 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.745 * [taylor]: Taking taylor expansion of f in f 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [backup-simplify]: Simplify (/ 1 1) into 1 1.745 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.745 * [taylor]: Taking taylor expansion of n in f 1.745 * [backup-simplify]: Simplify n into n 1.745 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.745 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.745 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.745 * [taylor]: Taking taylor expansion of f in f 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.746 * [backup-simplify]: Simplify (/ 1 1) into 1 1.746 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.746 * [taylor]: Taking taylor expansion of n in f 1.746 * [backup-simplify]: Simplify n into n 1.746 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.746 * [backup-simplify]: Simplify (+ 1 0) into 1 1.746 * [backup-simplify]: Simplify (+ 1 0) into 1 1.746 * [backup-simplify]: Simplify (/ 1 1) into 1 1.746 * [backup-simplify]: Simplify (exp 1) into E 1.747 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.747 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.747 * [taylor]: Taking taylor expansion of (log (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.747 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.747 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.747 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.747 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.747 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.747 * [taylor]: Taking taylor expansion of f in f 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (/ 1 1) into 1 1.748 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.748 * [taylor]: Taking taylor expansion of n in f 1.748 * [backup-simplify]: Simplify n into n 1.748 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.748 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.748 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.748 * [taylor]: Taking taylor expansion of f in f 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (/ 1 1) into 1 1.748 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.748 * [taylor]: Taking taylor expansion of n in f 1.748 * [backup-simplify]: Simplify n into n 1.748 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.748 * [backup-simplify]: Simplify (+ 1 0) into 1 1.749 * [backup-simplify]: Simplify (+ 1 0) into 1 1.749 * [backup-simplify]: Simplify (/ 1 1) into 1 1.749 * [backup-simplify]: Simplify (exp 1) into E 1.749 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.750 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.750 * [taylor]: Taking taylor expansion of (log (/ 1 E)) in n 1.750 * [taylor]: Taking taylor expansion of (/ 1 E) in n 1.750 * [taylor]: Taking taylor expansion of E in n 1.750 * [backup-simplify]: Simplify E into E 1.750 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.751 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.751 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.752 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.752 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.752 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.753 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.753 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 1.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 1.754 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 (* E n))))) 1)) (pow (/ 1 E) 1)))) 1) into (/ -2 n) 1.754 * [taylor]: Taking taylor expansion of (/ -2 n) in n 1.754 * [taylor]: Taking taylor expansion of -2 in n 1.754 * [backup-simplify]: Simplify -2 into -2 1.754 * [taylor]: Taking taylor expansion of n in n 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (/ -2 1) into -2 1.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.755 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 1.760 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 E) 1)))) 1) into 0 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.761 * [backup-simplify]: Simplify (- 0) into 0 1.762 * [backup-simplify]: Simplify (+ 0 0) into 0 1.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.763 * [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))) 1.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 4 (/ E (pow n 2))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 2 (/ E n)) E)))) into 0 1.765 * [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)) 1.765 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 1.765 * [taylor]: Taking taylor expansion of -2 in n 1.765 * [backup-simplify]: Simplify -2 into -2 1.765 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.765 * [taylor]: Taking taylor expansion of n in n 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 1 into 1 1.765 * [backup-simplify]: Simplify (* 1 1) into 1 1.765 * [backup-simplify]: Simplify (/ -2 1) into -2 1.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.767 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 1.770 * [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 1.770 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.771 * [backup-simplify]: Simplify (+ 0 0) into 0 1.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.772 * [backup-simplify]: Simplify (- 0) into 0 1.772 * [backup-simplify]: Simplify (+ 0 0) into 0 1.773 * [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))) 1.774 * [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))) 1.775 * [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)))) 1.778 * [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)) 1.778 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 1.778 * [taylor]: Taking taylor expansion of -2 in n 1.778 * [backup-simplify]: Simplify -2 into -2 1.778 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.778 * [taylor]: Taking taylor expansion of n in n 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (* 1 1) into 1 1.778 * [backup-simplify]: Simplify (* 1 1) into 1 1.778 * [backup-simplify]: Simplify (/ -2 1) into -2 1.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.784 * [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))))))) 1.784 * [approximate]: Taking taylor expansion of (log (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in (f n) around 0 1.784 * [taylor]: Taking taylor expansion of (log (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in n 1.784 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 1.784 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 1.784 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.784 * [taylor]: Taking taylor expansion of -1 in n 1.784 * [backup-simplify]: Simplify -1 into -1 1.784 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.784 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.784 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.784 * [taylor]: Taking taylor expansion of f in n 1.784 * [backup-simplify]: Simplify f into f 1.784 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.784 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.784 * [taylor]: Taking taylor expansion of n in n 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.784 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.784 * [taylor]: Taking taylor expansion of n in n 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.784 * [taylor]: Taking taylor expansion of f in n 1.784 * [backup-simplify]: Simplify f into f 1.784 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.785 * [backup-simplify]: Simplify (+ 0 1) into 1 1.785 * [backup-simplify]: Simplify (+ 1 0) into 1 1.785 * [backup-simplify]: Simplify (/ 1 1) into 1 1.785 * [backup-simplify]: Simplify (* -1 1) into -1 1.786 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.786 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.787 * [backup-simplify]: Simplify (log (/ 1 (exp -1))) into (log (/ 1 (exp -1))) 1.787 * [taylor]: Taking taylor expansion of (log (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in f 1.787 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 1.787 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.787 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.787 * [taylor]: Taking taylor expansion of -1 in f 1.787 * [backup-simplify]: Simplify -1 into -1 1.787 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.787 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.787 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.787 * [taylor]: Taking taylor expansion of f in f 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 1 into 1 1.787 * [backup-simplify]: Simplify (/ 1 1) into 1 1.787 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.788 * [taylor]: Taking taylor expansion of n in f 1.788 * [backup-simplify]: Simplify n into n 1.788 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.788 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.788 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.788 * [taylor]: Taking taylor expansion of n in f 1.788 * [backup-simplify]: Simplify n into n 1.788 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.788 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.788 * [taylor]: Taking taylor expansion of f in f 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 1 into 1 1.788 * [backup-simplify]: Simplify (/ 1 1) into 1 1.788 * [backup-simplify]: Simplify (+ 1 0) into 1 1.788 * [backup-simplify]: Simplify (- 1) into -1 1.789 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.789 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.789 * [backup-simplify]: Simplify (* -1 -1) into 1 1.789 * [backup-simplify]: Simplify (exp 1) into E 1.790 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.790 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.790 * [taylor]: Taking taylor expansion of (log (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in f 1.790 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 1.790 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.790 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.790 * [taylor]: Taking taylor expansion of -1 in f 1.790 * [backup-simplify]: Simplify -1 into -1 1.790 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.790 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.790 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.790 * [taylor]: Taking taylor expansion of f in f 1.790 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.791 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.791 * [taylor]: Taking taylor expansion of n in f 1.791 * [backup-simplify]: Simplify n into n 1.791 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.791 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.791 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.791 * [taylor]: Taking taylor expansion of n in f 1.791 * [backup-simplify]: Simplify n into n 1.791 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.791 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.791 * [taylor]: Taking taylor expansion of f in f 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.791 * [backup-simplify]: Simplify (+ 1 0) into 1 1.792 * [backup-simplify]: Simplify (- 1) into -1 1.792 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.792 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.792 * [backup-simplify]: Simplify (* -1 -1) into 1 1.792 * [backup-simplify]: Simplify (exp 1) into E 1.793 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.793 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.794 * [taylor]: Taking taylor expansion of (log (/ 1 E)) in n 1.794 * [taylor]: Taking taylor expansion of (/ 1 E) in n 1.794 * [taylor]: Taking taylor expansion of E in n 1.794 * [backup-simplify]: Simplify E into E 1.794 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.794 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.795 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.796 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.796 * [backup-simplify]: Simplify (- 0) into 0 1.796 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.796 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.797 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.797 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 1.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 1.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 (* E n))))) 1)) (pow (/ 1 E) 1)))) 1) into (/ -2 n) 1.798 * [taylor]: Taking taylor expansion of (/ -2 n) in n 1.798 * [taylor]: Taking taylor expansion of -2 in n 1.798 * [backup-simplify]: Simplify -2 into -2 1.798 * [taylor]: Taking taylor expansion of n in n 1.798 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify 1 into 1 1.799 * [backup-simplify]: Simplify (/ -2 1) into -2 1.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 1.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 E) 1)))) 1) into 0 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.801 * [backup-simplify]: Simplify (+ 0 0) into 0 1.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.802 * [backup-simplify]: Simplify (- 0) into 0 1.802 * [backup-simplify]: Simplify (+ 0 0) into 0 1.803 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.803 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.804 * [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))) 1.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 4 (/ E (pow n 2))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 2 (/ E n)) E)))) into 0 1.806 * [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)) 1.806 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 1.806 * [taylor]: Taking taylor expansion of -2 in n 1.806 * [backup-simplify]: Simplify -2 into -2 1.806 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.806 * [taylor]: Taking taylor expansion of n in n 1.806 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify 1 into 1 1.806 * [backup-simplify]: Simplify (* 1 1) into 1 1.807 * [backup-simplify]: Simplify (/ -2 1) into -2 1.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.809 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 1.811 * [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 1.811 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.812 * [backup-simplify]: Simplify (+ 0 0) into 0 1.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.813 * [backup-simplify]: Simplify (- 0) into 0 1.813 * [backup-simplify]: Simplify (+ 0 0) into 0 1.814 * [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)))) 1.815 * [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))) 1.815 * [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))) 1.816 * [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)))) 1.819 * [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)) 1.819 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 1.819 * [taylor]: Taking taylor expansion of -2 in n 1.819 * [backup-simplify]: Simplify -2 into -2 1.819 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.819 * [taylor]: Taking taylor expansion of n in n 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [backup-simplify]: Simplify (* 1 1) into 1 1.820 * [backup-simplify]: Simplify (* 1 1) into 1 1.820 * [backup-simplify]: Simplify (/ -2 1) into -2 1.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.824 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify (log (/ 1 E)) into (log (/ 1 E)) 1.825 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.825 * [backup-simplify]: Simplify (exp (/ (+ f n) (- f n))) into (exp (/ (+ n f) (- f n))) 1.825 * [approximate]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in (f n) around 0 1.825 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in n 1.825 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.825 * [taylor]: Taking taylor expansion of (+ n f) in n 1.825 * [taylor]: Taking taylor expansion of n in n 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.825 * [taylor]: Taking taylor expansion of f in n 1.825 * [backup-simplify]: Simplify f into f 1.825 * [taylor]: Taking taylor expansion of (- f n) in n 1.825 * [taylor]: Taking taylor expansion of f in n 1.825 * [backup-simplify]: Simplify f into f 1.825 * [taylor]: Taking taylor expansion of n in n 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.825 * [backup-simplify]: Simplify (+ 0 f) into f 1.826 * [backup-simplify]: Simplify (- 0) into 0 1.826 * [backup-simplify]: Simplify (+ f 0) into f 1.826 * [backup-simplify]: Simplify (/ f f) into 1 1.826 * [backup-simplify]: Simplify (exp 1) into E 1.826 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 1.826 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.826 * [taylor]: Taking taylor expansion of (+ n f) in f 1.826 * [taylor]: Taking taylor expansion of n in f 1.826 * [backup-simplify]: Simplify n into n 1.826 * [taylor]: Taking taylor expansion of f in f 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [taylor]: Taking taylor expansion of (- f n) in f 1.826 * [taylor]: Taking taylor expansion of f in f 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [taylor]: Taking taylor expansion of n in f 1.826 * [backup-simplify]: Simplify n into n 1.826 * [backup-simplify]: Simplify (+ n 0) into n 1.826 * [backup-simplify]: Simplify (- n) into (- n) 1.826 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.826 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.826 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.826 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 1.826 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.826 * [taylor]: Taking taylor expansion of (+ n f) in f 1.826 * [taylor]: Taking taylor expansion of n in f 1.826 * [backup-simplify]: Simplify n into n 1.826 * [taylor]: Taking taylor expansion of f in f 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [taylor]: Taking taylor expansion of (- f n) in f 1.826 * [taylor]: Taking taylor expansion of f in f 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [taylor]: Taking taylor expansion of n in f 1.826 * [backup-simplify]: Simplify n into n 1.826 * [backup-simplify]: Simplify (+ n 0) into n 1.826 * [backup-simplify]: Simplify (- n) into (- n) 1.827 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.827 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.827 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.827 * [taylor]: Taking taylor expansion of (exp -1) in n 1.827 * [taylor]: Taking taylor expansion of -1 in n 1.827 * [backup-simplify]: Simplify -1 into -1 1.827 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.827 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.828 * [backup-simplify]: Simplify (+ 0 1) into 1 1.828 * [backup-simplify]: Simplify (- 0) into 0 1.828 * [backup-simplify]: Simplify (+ 1 0) into 1 1.828 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.829 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 1.829 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 1.829 * [taylor]: Taking taylor expansion of -2 in n 1.829 * [backup-simplify]: Simplify -2 into -2 1.829 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 1.829 * [taylor]: Taking taylor expansion of (exp -1) in n 1.829 * [taylor]: Taking taylor expansion of -1 in n 1.829 * [backup-simplify]: Simplify -1 into -1 1.829 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.829 * [taylor]: Taking taylor expansion of n in n 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 1 into 1 1.830 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 1.830 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 1.831 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 1.831 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify (+ 0 0) into 0 1.832 * [backup-simplify]: Simplify (- 0) into 0 1.833 * [backup-simplify]: Simplify (+ 0 0) into 0 1.833 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.833 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 1.833 * [taylor]: Taking taylor expansion of 0 in n 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.836 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 1.836 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify (+ 0 0) into 0 1.837 * [backup-simplify]: Simplify (- 0) into 0 1.837 * [backup-simplify]: Simplify (+ 0 0) into 0 1.838 * [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)))) 1.839 * [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))) 1.839 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 1.839 * [taylor]: Taking taylor expansion of 2/3 in n 1.839 * [backup-simplify]: Simplify 2/3 into 2/3 1.839 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 1.839 * [taylor]: Taking taylor expansion of (exp -1) in n 1.839 * [taylor]: Taking taylor expansion of -1 in n 1.839 * [backup-simplify]: Simplify -1 into -1 1.839 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.839 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.839 * [taylor]: Taking taylor expansion of n in n 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [backup-simplify]: Simplify (* 1 1) into 1 1.839 * [backup-simplify]: Simplify (* 1 1) into 1 1.840 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 1.841 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.844 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.846 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.851 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.851 * [backup-simplify]: Simplify (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.851 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.851 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.851 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.851 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.851 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.851 * [taylor]: Taking taylor expansion of f in n 1.851 * [backup-simplify]: Simplify f into f 1.851 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.851 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.851 * [taylor]: Taking taylor expansion of n in n 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 1 into 1 1.852 * [backup-simplify]: Simplify (/ 1 1) into 1 1.852 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.852 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.852 * [taylor]: Taking taylor expansion of f in n 1.852 * [backup-simplify]: Simplify f into f 1.852 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.852 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.852 * [taylor]: Taking taylor expansion of n in n 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.852 * [backup-simplify]: Simplify (/ 1 1) into 1 1.852 * [backup-simplify]: Simplify (+ 0 1) into 1 1.853 * [backup-simplify]: Simplify (- 1) into -1 1.853 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.853 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.853 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.853 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.853 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.853 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.853 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.853 * [taylor]: Taking taylor expansion of f in f 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 1 into 1 1.854 * [backup-simplify]: Simplify (/ 1 1) into 1 1.854 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.854 * [taylor]: Taking taylor expansion of n in f 1.854 * [backup-simplify]: Simplify n into n 1.854 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.854 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.854 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.854 * [taylor]: Taking taylor expansion of f in f 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 n) in f 1.854 * [taylor]: Taking taylor expansion of n in f 1.854 * [backup-simplify]: Simplify n into n 1.854 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.854 * [backup-simplify]: Simplify (+ 1 0) into 1 1.855 * [backup-simplify]: Simplify (+ 1 0) into 1 1.855 * [backup-simplify]: Simplify (/ 1 1) into 1 1.855 * [backup-simplify]: Simplify (exp 1) into E 1.855 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 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 1.855 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.855 * [taylor]: Taking taylor expansion of n in f 1.855 * [backup-simplify]: Simplify n into n 1.855 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 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 1.856 * [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 1.856 * [backup-simplify]: Simplify (/ 1 1) into 1 1.856 * [backup-simplify]: Simplify (exp 1) into E 1.857 * [taylor]: Taking taylor expansion of E in n 1.857 * [backup-simplify]: Simplify E into E 1.857 * [backup-simplify]: Simplify E into E 1.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.857 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.858 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.858 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.858 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.858 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 1.858 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 1.858 * [taylor]: Taking taylor expansion of 2 in n 1.858 * [backup-simplify]: Simplify 2 into 2 1.858 * [taylor]: Taking taylor expansion of (/ E n) in n 1.858 * [taylor]: Taking taylor expansion of E in n 1.858 * [backup-simplify]: Simplify E into E 1.858 * [taylor]: Taking taylor expansion of n in n 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.858 * [backup-simplify]: Simplify (/ E 1) into E 1.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.859 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.860 * [backup-simplify]: Simplify (+ 0 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) into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.862 * [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))) 1.862 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 1.862 * [taylor]: Taking taylor expansion of 4 in n 1.862 * [backup-simplify]: Simplify 4 into 4 1.862 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 1.862 * [taylor]: Taking taylor expansion of E in n 1.862 * [backup-simplify]: Simplify E into E 1.862 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.862 * [taylor]: Taking taylor expansion of n in n 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 1 into 1 1.863 * [backup-simplify]: Simplify (* 1 1) into 1 1.863 * [backup-simplify]: Simplify (/ E 1) into E 1.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 1.865 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.867 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) 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 1.868 * [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 * [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))) 1.870 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 1.870 * [taylor]: Taking taylor expansion of 22/3 in n 1.870 * [backup-simplify]: Simplify 22/3 into 22/3 1.870 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 1.870 * [taylor]: Taking taylor expansion of E in n 1.870 * [backup-simplify]: Simplify E into E 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 1.871 * [backup-simplify]: Simplify (* 1 1) into 1 1.871 * [backup-simplify]: Simplify (* 1 1) into 1 1.871 * [backup-simplify]: Simplify (/ E 1) into E 1.872 * [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 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify E into E 1.876 * [backup-simplify]: Simplify (exp (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1.877 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 1.877 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 1.877 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.877 * [taylor]: Taking taylor expansion of -1 in n 1.877 * [backup-simplify]: Simplify -1 into -1 1.877 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.877 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.877 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.877 * [taylor]: Taking taylor expansion of f in n 1.877 * [backup-simplify]: Simplify f into f 1.877 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.877 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.877 * [taylor]: Taking taylor expansion of n in n 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.877 * [backup-simplify]: Simplify (/ 1 1) into 1 1.877 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.877 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.877 * [taylor]: Taking taylor expansion of n in n 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.877 * [backup-simplify]: Simplify (/ 1 1) into 1 1.877 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.877 * [taylor]: Taking taylor expansion of f in n 1.877 * [backup-simplify]: Simplify f into f 1.877 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.878 * [backup-simplify]: Simplify (+ 0 1) into 1 1.878 * [backup-simplify]: Simplify (+ 1 0) into 1 1.878 * [backup-simplify]: Simplify (/ 1 1) into 1 1.878 * [backup-simplify]: Simplify (* -1 1) into -1 1.879 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.879 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 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 1.879 * [backup-simplify]: Simplify (/ 1 1) into 1 1.879 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.879 * [taylor]: Taking taylor expansion of n in f 1.879 * [backup-simplify]: Simplify n into n 1.879 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.879 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.879 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.879 * [taylor]: Taking taylor expansion of n in f 1.879 * [backup-simplify]: Simplify n into n 1.879 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 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 1.879 * [backup-simplify]: Simplify (/ 1 1) into 1 1.880 * [backup-simplify]: Simplify (+ 1 0) into 1 1.880 * [backup-simplify]: Simplify (- 1) into -1 1.880 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.880 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.881 * [backup-simplify]: Simplify (* -1 -1) into 1 1.881 * [backup-simplify]: Simplify (exp 1) into E 1.881 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.881 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.881 * [taylor]: Taking taylor expansion of -1 in f 1.881 * [backup-simplify]: Simplify -1 into -1 1.881 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.881 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.881 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.881 * [taylor]: Taking taylor expansion of f in f 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 1 into 1 1.881 * [backup-simplify]: Simplify (/ 1 1) into 1 1.881 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.881 * [taylor]: Taking taylor expansion of n in f 1.881 * [backup-simplify]: Simplify n into n 1.881 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.881 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.881 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.881 * [taylor]: Taking taylor expansion of n in f 1.881 * [backup-simplify]: Simplify n into n 1.881 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.881 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.881 * [taylor]: Taking taylor expansion of f in f 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 1 into 1 1.882 * [backup-simplify]: Simplify (/ 1 1) into 1 1.882 * [backup-simplify]: Simplify (+ 1 0) into 1 1.882 * [backup-simplify]: Simplify (- 1) into -1 1.882 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.882 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.883 * [backup-simplify]: Simplify (* -1 -1) into 1 1.883 * [backup-simplify]: Simplify (exp 1) into E 1.883 * [taylor]: Taking taylor expansion of E in n 1.883 * [backup-simplify]: Simplify E into E 1.883 * [backup-simplify]: Simplify E into E 1.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.883 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.884 * [backup-simplify]: Simplify (- 0) into 0 1.884 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.884 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.885 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.885 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 1.885 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 1.885 * [taylor]: Taking taylor expansion of 2 in n 1.885 * [backup-simplify]: Simplify 2 into 2 1.885 * [taylor]: Taking taylor expansion of (/ E n) in n 1.885 * [taylor]: Taking taylor expansion of E in n 1.885 * [backup-simplify]: Simplify E into E 1.885 * [taylor]: Taking taylor expansion of n in n 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 1 into 1 1.885 * [backup-simplify]: Simplify (/ E 1) into E 1.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.887 * [backup-simplify]: Simplify (+ 0 0) into 0 1.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.888 * [backup-simplify]: Simplify (- 0) into 0 1.888 * [backup-simplify]: Simplify (+ 0 0) into 0 1.889 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.889 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.890 * [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))) 1.890 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 1.890 * [taylor]: Taking taylor expansion of 4 in n 1.890 * [backup-simplify]: Simplify 4 into 4 1.890 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 1.890 * [taylor]: Taking taylor expansion of E in n 1.890 * [backup-simplify]: Simplify E into E 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 1.890 * [backup-simplify]: Simplify (* 1 1) into 1 1.891 * [backup-simplify]: Simplify (/ E 1) into E 1.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.893 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 1.893 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) 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 * [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))) 1.898 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 1.898 * [taylor]: Taking taylor expansion of 22/3 in n 1.898 * [backup-simplify]: Simplify 22/3 into 22/3 1.898 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 1.898 * [taylor]: Taking taylor expansion of E in n 1.898 * [backup-simplify]: Simplify E into E 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 1.899 * [backup-simplify]: Simplify (* 1 1) into 1 1.899 * [backup-simplify]: Simplify (* 1 1) into 1 1.899 * [backup-simplify]: Simplify (/ E 1) into E 1.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.900 * [backup-simplify]: Simplify (+ (* 1 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify E into E 1.904 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.905 * [backup-simplify]: Simplify (/ 1 (exp (/ (+ f n) (- f n)))) into (/ 1 (exp (/ (+ n f) (- f n)))) 1.905 * [approximate]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in (f n) around 0 1.905 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in n 1.905 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in n 1.905 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.905 * [taylor]: Taking taylor expansion of (+ n f) in n 1.905 * [taylor]: Taking taylor expansion of n in n 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [taylor]: Taking taylor expansion of f in n 1.905 * [backup-simplify]: Simplify f into f 1.905 * [taylor]: Taking taylor expansion of (- f n) in n 1.905 * [taylor]: Taking taylor expansion of f in n 1.905 * [backup-simplify]: Simplify f into f 1.905 * [taylor]: Taking taylor expansion of n in n 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (+ 0 f) into f 1.905 * [backup-simplify]: Simplify (- 0) into 0 1.905 * [backup-simplify]: Simplify (+ f 0) into f 1.905 * [backup-simplify]: Simplify (/ f f) into 1 1.905 * [backup-simplify]: Simplify (exp 1) into E 1.905 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.905 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in f 1.906 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 1.906 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.906 * [taylor]: Taking taylor expansion of (+ n f) in f 1.906 * [taylor]: Taking taylor expansion of n in f 1.906 * [backup-simplify]: Simplify n into n 1.906 * [taylor]: Taking taylor expansion of f in f 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [taylor]: Taking taylor expansion of (- f n) in f 1.906 * [taylor]: Taking taylor expansion of f in f 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [taylor]: Taking taylor expansion of n in f 1.906 * [backup-simplify]: Simplify n into n 1.906 * [backup-simplify]: Simplify (+ n 0) into n 1.906 * [backup-simplify]: Simplify (- n) into (- n) 1.906 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.906 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.906 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.907 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 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 1.907 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.908 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.908 * [taylor]: Taking taylor expansion of (/ 1 (exp -1)) in n 1.908 * [taylor]: Taking taylor expansion of (exp -1) in n 1.908 * [taylor]: Taking taylor expansion of -1 in n 1.908 * [backup-simplify]: Simplify -1 into -1 1.908 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.909 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.909 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.909 * [backup-simplify]: Simplify (+ 0 1) into 1 1.910 * [backup-simplify]: Simplify (- 0) into 0 1.910 * [backup-simplify]: Simplify (+ 1 0) into 1 1.910 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.910 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 1.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) n))) 1.911 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (exp -1) n))) in n 1.911 * [taylor]: Taking taylor expansion of 2 in n 1.912 * [backup-simplify]: Simplify 2 into 2 1.912 * [taylor]: Taking taylor expansion of (/ 1 (* (exp -1) n)) in n 1.912 * [taylor]: Taking taylor expansion of (* (exp -1) n) in n 1.912 * [taylor]: Taking taylor expansion of (exp -1) in n 1.912 * [taylor]: Taking taylor expansion of -1 in n 1.912 * [backup-simplify]: Simplify -1 into -1 1.912 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.912 * [taylor]: Taking taylor expansion of n in n 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (* (exp -1) 0) into 0 1.913 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.914 * [backup-simplify]: Simplify (+ (* (exp -1) 1) (* 0 0)) into (exp -1) 1.914 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.915 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.916 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 1) (* 0 0))) into 0 1.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))))) into 0 1.917 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (exp -1)))) into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.918 * [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 0 into 0 1.919 * [backup-simplify]: Simplify (+ 0 0) into 0 1.919 * [backup-simplify]: Simplify (- 0) into 0 1.919 * [backup-simplify]: Simplify (+ 0 0) into 0 1.919 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.920 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 1.921 * [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)))) 1.921 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (exp -1) (pow n 2)))) in n 1.921 * [taylor]: Taking taylor expansion of 4 in n 1.921 * [backup-simplify]: Simplify 4 into 4 1.921 * [taylor]: Taking taylor expansion of (/ 1 (* (exp -1) (pow n 2))) in n 1.921 * [taylor]: Taking taylor expansion of (* (exp -1) (pow n 2)) in n 1.921 * [taylor]: Taking taylor expansion of (exp -1) in n 1.921 * [taylor]: Taking taylor expansion of -1 in n 1.921 * [backup-simplify]: Simplify -1 into -1 1.922 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.922 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.922 * [taylor]: Taking taylor expansion of n in n 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (* 1 1) into 1 1.922 * [backup-simplify]: Simplify (* (exp -1) 1) into (exp -1) 1.923 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.924 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.925 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.926 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 0) (* 0 1))) into 0 1.926 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (* 0 1)) into 0 1.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))))) into 0 1.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* 0 (/ 0 (exp -1))))) into 0 1.928 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 (exp -1))))) into 0 1.928 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.930 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* 0 (/ 0 (exp -1))))) into 0 1.932 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (exp -1))))) into 0 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* 0 (/ 0 (exp -1))))) into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (+ 0 0) into 0 1.934 * [backup-simplify]: Simplify (- 0) into 0 1.934 * [backup-simplify]: Simplify (+ 0 0) into 0 1.934 * [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)))) 1.935 * [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))) 1.938 * [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)))) 1.938 * [taylor]: Taking taylor expansion of (* 22/3 (/ 1 (* (exp -1) (pow n 3)))) in n 1.938 * [taylor]: Taking taylor expansion of 22/3 in n 1.938 * [backup-simplify]: Simplify 22/3 into 22/3 1.938 * [taylor]: Taking taylor expansion of (/ 1 (* (exp -1) (pow n 3))) in n 1.938 * [taylor]: Taking taylor expansion of (* (exp -1) (pow n 3)) in n 1.938 * [taylor]: Taking taylor expansion of (exp -1) in n 1.938 * [taylor]: Taking taylor expansion of -1 in n 1.938 * [backup-simplify]: Simplify -1 into -1 1.938 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.938 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.938 * [taylor]: Taking taylor expansion of n in n 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (* 1 1) into 1 1.939 * [backup-simplify]: Simplify (* 1 1) into 1 1.939 * [backup-simplify]: Simplify (* (exp -1) 1) into (exp -1) 1.943 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.947 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.949 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.949 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (* 0 1)) into 0 1.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))))) into 0 1.951 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 0) (* 0 1))) into 0 1.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* 0 (/ 0 (exp -1))))) into 0 1.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* 0 (/ 0 (exp -1))) (* 0 (/ 0 (exp -1))))) into 0 1.953 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp -1)))))) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.954 * [backup-simplify]: Simplify (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) into (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1.954 * [approximate]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 1.954 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.954 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.954 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.954 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.954 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.954 * [taylor]: Taking taylor expansion of f in n 1.954 * [backup-simplify]: Simplify f into f 1.954 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.954 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.954 * [taylor]: Taking taylor expansion of n in n 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (/ 1 1) into 1 1.954 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.954 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.954 * [taylor]: Taking taylor expansion of f in n 1.954 * [backup-simplify]: Simplify f into f 1.954 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.954 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.954 * [taylor]: Taking taylor expansion of n in n 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 1 into 1 1.955 * [backup-simplify]: Simplify (/ 1 1) into 1 1.955 * [backup-simplify]: Simplify (+ 0 1) into 1 1.955 * [backup-simplify]: Simplify (- 1) into -1 1.955 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.956 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.956 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.956 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.956 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.956 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.956 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.957 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.957 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.957 * [taylor]: Taking taylor expansion of f in f 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (/ 1 1) into 1 1.957 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.957 * [taylor]: Taking taylor expansion of n in f 1.957 * [backup-simplify]: Simplify n into n 1.957 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.957 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.957 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.957 * [taylor]: Taking taylor expansion of f in f 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (/ 1 1) into 1 1.957 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.957 * [taylor]: Taking taylor expansion of n in f 1.957 * [backup-simplify]: Simplify n into n 1.957 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.958 * [backup-simplify]: Simplify (+ 1 0) into 1 1.958 * [backup-simplify]: Simplify (+ 1 0) into 1 1.958 * [backup-simplify]: Simplify (/ 1 1) into 1 1.958 * [backup-simplify]: Simplify (exp 1) into E 1.958 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.958 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.958 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.958 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.958 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.958 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.958 * [taylor]: Taking taylor expansion of f in f 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (/ 1 1) into 1 1.959 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.959 * [taylor]: Taking taylor expansion of n in f 1.959 * [backup-simplify]: Simplify n into n 1.959 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.959 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.959 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.959 * [taylor]: Taking taylor expansion of f in f 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (/ 1 1) into 1 1.959 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.959 * [taylor]: Taking taylor expansion of n in f 1.959 * [backup-simplify]: Simplify n into n 1.959 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.959 * [backup-simplify]: Simplify (+ 1 0) into 1 1.960 * [backup-simplify]: Simplify (+ 1 0) into 1 1.960 * [backup-simplify]: Simplify (/ 1 1) into 1 1.960 * [backup-simplify]: Simplify (exp 1) into E 1.960 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.960 * [taylor]: Taking taylor expansion of (/ 1 E) in n 1.960 * [taylor]: Taking taylor expansion of E in n 1.960 * [backup-simplify]: Simplify E into E 1.961 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.961 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.962 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.962 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.962 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 1.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 1.963 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (* E n)))) in n 1.963 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* E n))) in n 1.963 * [taylor]: Taking taylor expansion of 2 in n 1.963 * [backup-simplify]: Simplify 2 into 2 1.963 * [taylor]: Taking taylor expansion of (/ 1 (* E n)) in n 1.963 * [taylor]: Taking taylor expansion of (* E n) in n 1.963 * [taylor]: Taking taylor expansion of E in n 1.963 * [backup-simplify]: Simplify E into E 1.963 * [taylor]: Taking taylor expansion of n in n 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify (* E 0) into 0 1.964 * [backup-simplify]: Simplify (+ (* E 1) (* 0 0)) into E 1.964 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.965 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 1) (* 0 0))) into 0 1.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 1.966 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 E))) into 0 1.966 * [backup-simplify]: Simplify (- 0) into 0 1.966 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.968 * [backup-simplify]: Simplify (+ 0 0) into 0 1.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.968 * [backup-simplify]: Simplify (- 0) into 0 1.969 * [backup-simplify]: Simplify (+ 0 0) into 0 1.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.970 * [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))) 1.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 4 (/ E (pow n 2))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 2 (/ E n)) E)))) into 0 1.970 * [taylor]: Taking taylor expansion of 0 in n 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 1.972 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 E)))) into 0 1.973 * [backup-simplify]: Simplify (- 0) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.975 * [backup-simplify]: Simplify (- 0) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.976 * [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))) 1.977 * [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))) 1.977 * [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)))) 1.977 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 (* E (pow n 3)))) in n 1.978 * [taylor]: Taking taylor expansion of 2/3 in n 1.978 * [backup-simplify]: Simplify 2/3 into 2/3 1.978 * [taylor]: Taking taylor expansion of (/ 1 (* E (pow n 3))) in n 1.978 * [taylor]: Taking taylor expansion of (* E (pow n 3)) in n 1.978 * [taylor]: Taking taylor expansion of E in n 1.978 * [backup-simplify]: Simplify E into E 1.978 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.978 * [taylor]: Taking taylor expansion of n in n 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.978 * [backup-simplify]: Simplify (* 1 1) into 1 1.978 * [backup-simplify]: Simplify (* 1 1) into 1 1.978 * [backup-simplify]: Simplify (* E 1) into E 1.979 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.982 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.982 * [backup-simplify]: Simplify (+ (* E 0) (* 0 1)) into 0 1.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 1.984 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (* 0 1))) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 1.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 1.986 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 E))))) into 0 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.986 * [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)))))) 1.986 * [approximate]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in (f n) around 0 1.986 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 1.986 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 1.986 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.986 * [taylor]: Taking taylor expansion of -1 in n 1.986 * [backup-simplify]: Simplify -1 into -1 1.986 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.986 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.986 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.986 * [taylor]: Taking taylor expansion of f in n 1.986 * [backup-simplify]: Simplify f into f 1.986 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.986 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.986 * [taylor]: Taking taylor expansion of n in n 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [backup-simplify]: Simplify (/ 1 1) into 1 1.987 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.987 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.987 * [taylor]: Taking taylor expansion of n in n 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [backup-simplify]: Simplify (/ 1 1) into 1 1.987 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.987 * [taylor]: Taking taylor expansion of f in n 1.987 * [backup-simplify]: Simplify f into f 1.987 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.987 * [backup-simplify]: Simplify (+ 0 1) into 1 1.988 * [backup-simplify]: Simplify (+ 1 0) into 1 1.988 * [backup-simplify]: Simplify (/ 1 1) into 1 1.988 * [backup-simplify]: Simplify (* -1 1) into -1 1.988 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.989 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 1.989 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 1.989 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.989 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.989 * [taylor]: Taking taylor expansion of -1 in f 1.989 * [backup-simplify]: Simplify -1 into -1 1.989 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.989 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.989 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.989 * [taylor]: Taking taylor expansion of f in f 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) in f 1.989 * [taylor]: Taking taylor expansion of n in f 1.989 * [backup-simplify]: Simplify n into n 1.989 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.989 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.989 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.989 * [taylor]: Taking taylor expansion of n in f 1.989 * [backup-simplify]: Simplify n into n 1.989 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.989 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.989 * [taylor]: Taking taylor expansion of f in f 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (/ 1 1) into 1 1.990 * [backup-simplify]: Simplify (+ 1 0) into 1 1.990 * [backup-simplify]: Simplify (- 1) into -1 1.990 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.991 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.991 * [backup-simplify]: Simplify (* -1 -1) into 1 1.991 * [backup-simplify]: Simplify (exp 1) into E 1.991 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.991 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 1.991 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.991 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.991 * [taylor]: Taking taylor expansion of -1 in f 1.991 * [backup-simplify]: Simplify -1 into -1 1.991 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.991 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.991 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.991 * [taylor]: Taking taylor expansion of f in f 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [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 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [backup-simplify]: Simplify (+ 1 0) into 1 1.993 * [backup-simplify]: Simplify (- 1) into -1 1.993 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.993 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.993 * [backup-simplify]: Simplify (* -1 -1) into 1 1.993 * [backup-simplify]: Simplify (exp 1) into E 1.994 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.994 * [taylor]: Taking taylor expansion of (/ 1 E) in n 1.994 * [taylor]: Taking taylor expansion of E in n 1.994 * [backup-simplify]: Simplify E into E 1.994 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.994 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (- 0) into 0 1.996 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.996 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.996 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.996 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 1.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 1.997 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (* E n)))) in n 1.997 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* E n))) in n 1.997 * [taylor]: Taking taylor expansion of 2 in n 1.997 * [backup-simplify]: Simplify 2 into 2 1.997 * [taylor]: Taking taylor expansion of (/ 1 (* E n)) in n 1.997 * [taylor]: Taking taylor expansion of (* E n) in n 1.997 * [taylor]: Taking taylor expansion of E in n 1.997 * [backup-simplify]: Simplify E into E 1.997 * [taylor]: Taking taylor expansion of n in n 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (* E 0) into 0 1.998 * [backup-simplify]: Simplify (+ (* E 1) (* 0 0)) into E 1.998 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 1.999 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 1) (* 0 0))) into 0 1.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 2.000 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 E))) into 0 2.000 * [backup-simplify]: Simplify (- 0) into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.002 * [backup-simplify]: Simplify (+ 0 0) into 0 2.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.002 * [backup-simplify]: Simplify (- 0) into 0 2.003 * [backup-simplify]: Simplify (+ 0 0) into 0 2.003 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.004 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.004 * [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))) 2.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 4 (/ E (pow n 2))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 2 (/ E n)) E)))) into 0 2.005 * [taylor]: Taking taylor expansion of 0 in n 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 2.007 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 E)))) into 0 2.007 * [backup-simplify]: Simplify (- 0) into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.009 * [backup-simplify]: Simplify (- 0) into 0 2.010 * [backup-simplify]: Simplify (+ 0 0) into 0 2.011 * [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)))) 2.011 * [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))) 2.012 * [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))) 2.012 * [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)))) 2.012 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 (* E (pow n 3)))) in n 2.013 * [taylor]: Taking taylor expansion of 2/3 in n 2.013 * [backup-simplify]: Simplify 2/3 into 2/3 2.013 * [taylor]: Taking taylor expansion of (/ 1 (* E (pow n 3))) in n 2.013 * [taylor]: Taking taylor expansion of (* E (pow n 3)) in n 2.013 * [taylor]: Taking taylor expansion of E in n 2.013 * [backup-simplify]: Simplify E into E 2.013 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.013 * [taylor]: Taking taylor expansion of n in n 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (* 1 1) into 1 2.013 * [backup-simplify]: Simplify (* 1 1) into 1 2.013 * [backup-simplify]: Simplify (* E 1) into E 2.014 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.017 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (+ (* E 0) (* 0 1)) into 0 2.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 2.019 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (* 0 1))) into 0 2.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 2.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 2.021 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 E))))) into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.021 * * * [progress]: simplifying candidates 2.024 * [simplify]: Simplifying: (- (log (+ f n)) (log (- f n))) (log (/ (+ f n) (- f n))) (exp (/ (+ f n) (- f n))) (/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (/ (+ f n) (- f n))) (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (+ f n) (- f n))) (sqrt (/ (+ f n) (- f n))) (sqrt (/ (+ f n) (- f n))) (- (+ f n)) (- (- f n)) (/ (* (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)) (log (* (cbrt (/ 1 (exp (/ (+ f n) (- f n))))) (cbrt (/ 1 (exp (/ (+ f n) (- f n))))))) (log (cbrt (/ 1 (exp (/ (+ f n) (- f n)))))) (log (sqrt (/ 1 (exp (/ (+ f n) (- f n)))))) (log (sqrt (/ 1 (exp (/ (+ f n) (- f n)))))) (log (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (exp (/ (+ f n) (- f n)))) (cbrt (exp (/ (+ f n) (- f n))))))) (log (/ (cbrt 1) (cbrt (exp (/ (+ f n) (- f n)))))) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt (exp (/ (+ f n) (- f n)))))) (log (/ (cbrt 1) (sqrt (exp (/ (+ f n) (- f n)))))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) (exp (/ (+ f n) (- f n))))) (log (/ (sqrt 1) (* (cbrt (exp (/ (+ f n) (- f n)))) (cbrt (exp (/ (+ f n) (- f n))))))) (log (/ (sqrt 1) (cbrt (exp (/ (+ f n) (- f n)))))) (log (/ (sqrt 1) (sqrt (exp (/ (+ f n) (- f n)))))) (log (/ (sqrt 1) (sqrt (exp (/ (+ f n) (- f n)))))) (log (/ (sqrt 1) 1)) (log (/ (sqrt 1) (exp (/ (+ f n) (- f n))))) (log (/ 1 (* (cbrt (exp (/ (+ f n) (- f n)))) (cbrt (exp (/ (+ f n) (- f n))))))) (log (/ 1 (cbrt (exp (/ (+ f n) (- f n)))))) (log (/ 1 (sqrt (exp (/ (+ f n) (- f n)))))) (log (/ 1 (sqrt (exp (/ (+ f n) (- f n)))))) (log (/ 1 1)) (log (/ 1 (exp (/ (+ f n) (- f n))))) (log 1) (log (/ 1 (exp (/ (+ f n) (- f n))))) (log 1) (log (/ 1 (exp (/ (+ f n) (- f n))))) (log 1) (log (exp (/ (+ f n) (- 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 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (+ f n))) (log (exp (/ (+ f n) (- (pow f 3) (pow n 3))))) (log (exp (/ (+ f n) (- (* f f) (* n n))))) (log (/ 1 (exp (/ (+ f n) (- f n))))) (log (log (/ 1 (exp (/ (+ f n) (- f n)))))) (exp (log (/ 1 (exp (/ (+ f n) (- f n)))))) (* (cbrt (log (/ 1 (exp (/ (+ f n) (- f n)))))) (cbrt (log (/ 1 (exp (/ (+ f n) (- f n))))))) (cbrt (log (/ 1 (exp (/ (+ f n) (- f n)))))) (* (* (log (/ 1 (exp (/ (+ f n) (- f n))))) (log (/ 1 (exp (/ (+ f n) (- f n)))))) (log (/ 1 (exp (/ (+ f n) (- f n)))))) (sqrt (log (/ 1 (exp 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(/ (+ f n) (- (* f f) (* n n)))) (log (exp (/ (+ f n) (- f n)))) (exp (exp (/ (+ f n) (- f n)))) (* (cbrt (exp (/ (+ f n) (- f n)))) (cbrt (exp (/ (+ f n) (- f n))))) (cbrt (exp (/ (+ f n) (- f n)))) (* (* (exp (/ (+ f n) (- f n))) (exp (/ (+ f n) (- f n)))) (exp (/ (+ f n) (- f n)))) (sqrt (exp (/ (+ f n) (- f n)))) (sqrt (exp (/ (+ f n) (- f n)))) (- 1) (- (cbrt (/ (+ f n) (- f n)))) (- (sqrt (/ (+ f n) (- f n)))) (- (/ (cbrt (+ f n)) (cbrt (- f n)))) (- (/ (cbrt (+ f n)) (sqrt (- f n)))) (- (/ (cbrt (+ f n)) (- f n))) (- (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n)))) (- (/ (cbrt (+ f n)) (- f n))) (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (- (/ (sqrt (+ f n)) (- f n))) (- (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n)))) (- (/ (sqrt (+ f n)) (- f n))) (- (/ (+ f n) (cbrt (- f n)))) (- (/ (+ f n) (sqrt (- f n)))) (- (/ (+ f n) (- f n))) (- (/ (+ f n) (- (sqrt f) (sqrt n)))) (- (/ (+ f n) (- f n))) (- (/ (+ f n) (cbrt (- f n)))) (- (/ (+ f n) (sqrt (- f n)))) (- (/ (+ f n) (- f n))) (- (/ (+ f n) (- (sqrt f) (sqrt n)))) (- (/ (+ f n) (- f n))) (- (/ (+ f n) (- f n))) (- (/ 1 (- f n))) (- (+ (* f f) (+ (* n n) (* f n)))) (- (+ f n)) (- (/ (+ f n) (- f n))) (- 0 (/ (+ f n) (- f n))) (- (log 1) (/ (+ f n) (- f n))) (log (/ 1 (exp (/ (+ f n) (- f n))))) (exp (/ 1 (exp (/ (+ f n) (- f n))))) (/ (* (* 1 1) 1) (* (* (exp (/ (+ f n) (- f n))) (exp (/ (+ f n) (- f n)))) (exp (/ (+ f n) (- f n))))) (* (cbrt (/ 1 (exp (/ (+ f n) (- f n))))) (cbrt (/ 1 (exp (/ (+ f n) (- f n)))))) (cbrt (/ 1 (exp (/ (+ f n) (- f n))))) (* (* (/ 1 (exp (/ (+ f n) (- f n)))) (/ 1 (exp (/ (+ f n) (- f n))))) (/ 1 (exp (/ (+ f n) (- f n))))) (sqrt (/ 1 (exp (/ (+ f n) (- f n))))) (sqrt (/ 1 (exp (/ (+ f n) (- f n))))) (- 1) (- (exp (/ (+ f n) (- f n)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (exp (/ (+ f n) (- f n)))) (cbrt (exp (/ (+ f n) (- f n)))))) (/ (cbrt 1) (cbrt (exp (/ (+ f n) (- f n))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (exp (/ (+ f n) (- f n))))) (/ (cbrt 1) (sqrt (exp (/ (+ f n) (- f n))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (exp (/ (+ f n) (- f n)))) (/ (sqrt 1) (* (cbrt (exp (/ (+ f n) (- f n)))) (cbrt (exp (/ (+ f n) (- f n)))))) (/ (sqrt 1) (cbrt (exp (/ (+ f n) (- f n))))) (/ (sqrt 1) (sqrt (exp (/ (+ f n) (- f n))))) (/ (sqrt 1) (sqrt (exp (/ (+ f n) (- f n))))) (/ (sqrt 1) 1) (/ (sqrt 1) (exp (/ (+ f n) (- f n)))) (/ 1 (* (cbrt (exp (/ (+ f n) (- f n)))) (cbrt (exp (/ (+ f n) (- f n)))))) (/ 1 (cbrt (exp (/ (+ f n) (- f n))))) (/ 1 (sqrt (exp (/ (+ f n) (- f n))))) (/ 1 (sqrt (exp (/ (+ f n) (- f n))))) (/ 1 1) (/ 1 (exp (/ (+ f n) (- f n)))) (/ 1 (exp (/ (+ f n) (- f n)))) (/ (exp (/ (+ f n) (- f n))) 1) (/ 1 (* (cbrt (exp (/ (+ f n) (- f n)))) (cbrt (exp (/ (+ f n) (- f n)))))) (/ 1 (sqrt (exp (/ (+ f n) (- f n))))) (/ 1 1) (/ (exp (/ (+ f n) (- f n))) (cbrt 1)) (/ (exp (/ (+ f n) (- f n))) (sqrt 1)) (/ (exp (/ (+ f n) (- f n))) 1) -1 1 1 (log (/ 1 (exp -1))) (log (/ 1 E)) (log (/ 1 E)) (exp -1) E E (/ 1 (exp -1)) (/ 1 E) (/ 1 E) 2.024 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log (- h0 h1))) (log (/ (+ h0 h1) (- h0 h1))) (exp (/ (+ h0 h1) (- h0 h1))) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (cbrt (/ (+ h0 h1) (- h0 h1))) (cbrt (/ (+ h0 h1) (- h0 h1)))) (cbrt (/ (+ h0 h1) (- h0 h1))) (* (* (/ (+ h0 h1) (- h0 h1)) (/ (+ h0 h1) (- h0 h1))) (/ (+ h0 h1) (- h0 h1))) (sqrt (/ (+ h0 h1) (- h0 h1))) (sqrt (/ (+ h0 h1) (- h0 h1))) (- (+ h0 h1)) (- (- h0 h1)) (/ (* (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) (* (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) (- (pow h0 3) (pow h1 3))) (/ (+ h0 h1) (- (* h0 h0) (* h1 h1))) (* (- h0 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (- h0 h1) (- h0 h1)) (log (* (cbrt (/ 1 (exp (/ (+ h0 h1) (- h0 h1))))) (cbrt (/ 1 (exp (/ (+ h0 h1) (- h0 h1))))))) (log (cbrt (/ 1 (exp (/ (+ h0 h1) (- h0 h1)))))) (log (sqrt (/ 1 (exp (/ (+ h0 h1) (- h0 h1)))))) (log (sqrt (/ 1 (exp (/ (+ h0 h1) (- h0 h1)))))) (log (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (exp (/ (+ h0 h1) (- h0 h1)))) (cbrt (exp (/ (+ h0 h1) (- h0 h1))))))) (log (/ (cbrt 1) (cbrt (exp (/ (+ h0 h1) (- h0 h1)))))) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt (exp (/ (+ h0 h1) (- h0 h1)))))) (log (/ (cbrt 1) (sqrt (exp (/ (+ h0 h1) (- h0 h1)))))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) (exp (/ (+ h0 h1) (- h0 h1))))) (log (/ (sqrt 1) (* (cbrt (exp (/ (+ h0 h1) (- h0 h1)))) (cbrt (exp 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(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)))) (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) (- (cbrt (/ (+ h0 h1) (- h0 h1)))) (- (sqrt (/ (+ h0 h1) (- h0 h1)))) (- (/ (cbrt (+ h0 h1)) (cbrt (- h0 h1)))) (- (/ (cbrt (+ h0 h1)) (sqrt (- h0 h1)))) (- (/ (cbrt (+ h0 h1)) (- h0 h1))) (- (/ (cbrt (+ h0 h1)) (- (sqrt h0) (sqrt h1)))) (- (/ (cbrt (+ h0 h1)) (- h0 h1))) (- (/ (sqrt (+ h0 h1)) (cbrt (- h0 h1)))) (- (/ (sqrt (+ h0 h1)) (sqrt (- h0 h1)))) (- (/ (sqrt (+ h0 h1)) (- h0 h1))) (- (/ (sqrt (+ h0 h1)) (- (sqrt h0) (sqrt h1)))) (- (/ (sqrt (+ h0 h1)) (- h0 h1))) (- (/ (+ h0 h1) (cbrt (- h0 h1)))) (- (/ (+ h0 h1) (sqrt (- h0 h1)))) (- (/ (+ h0 h1) (- h0 h1))) (- (/ (+ h0 h1) (- (sqrt h0) (sqrt h1)))) (- (/ (+ h0 h1) (- h0 h1))) (- (/ (+ h0 h1) (cbrt (- h0 h1)))) (- (/ (+ h0 h1) (sqrt (- h0 h1)))) (- (/ (+ h0 h1) (- h0 h1))) (- (/ (+ h0 h1) (- (sqrt h0) (sqrt h1)))) (- (/ (+ h0 h1) (- h0 h1))) (- (/ (+ h0 h1) (- h0 h1))) (- (/ 1 (- h0 h1))) (- (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (- (+ h0 h1)) (- (/ (+ h0 h1) (- h0 h1))) (- 0 (/ (+ h0 h1) (- h0 h1))) (- (log 1) (/ (+ h0 h1) (- h0 h1))) (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) 2.030 * * [simplify]: iteration 0 : 393 enodes (cost 1251 ) 2.036 * * [simplify]: iteration 1 : 1103 enodes (cost 1159 ) 2.051 * * [simplify]: iteration 2 : 3549 enodes (cost 1106 ) 2.102 * * [simplify]: iteration 3 : 5002 enodes (cost 1103 ) 2.111 * * * [progress]: adding candidates to table 2.461 * * [progress]: iteration 4 / 4 2.461 * * * [progress]: picking best candidate 2.467 * * * * [pick]: Picked # 2.467 * * * [progress]: localizing error 2.479 * * * [progress]: generating rewritten candidates 2.479 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1) 2.505 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1) 2.528 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.593 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.669 * * * [progress]: generating series expansions 2.669 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1) 2.669 * [backup-simplify]: Simplify (/ (+ f n) (- f n)) into (/ (+ n f) (- f n)) 2.669 * [approximate]: Taking taylor expansion of (/ (+ n f) (- f n)) in (f n) around 0 2.669 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.669 * [taylor]: Taking taylor expansion of (+ n f) in n 2.669 * [taylor]: Taking taylor expansion of n in n 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify 1 into 1 2.669 * [taylor]: Taking taylor expansion of f in n 2.669 * [backup-simplify]: Simplify f into f 2.669 * [taylor]: Taking taylor expansion of (- f n) in n 2.669 * [taylor]: Taking taylor expansion of f in n 2.669 * [backup-simplify]: Simplify f into f 2.669 * [taylor]: Taking taylor expansion of n in n 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify 1 into 1 2.669 * [backup-simplify]: Simplify (+ 0 f) into f 2.670 * [backup-simplify]: Simplify (- 0) into 0 2.670 * [backup-simplify]: Simplify (+ f 0) into f 2.670 * [backup-simplify]: Simplify (/ f f) into 1 2.670 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.670 * [taylor]: Taking taylor expansion of (+ n f) in f 2.670 * [taylor]: Taking taylor expansion of n in f 2.670 * [backup-simplify]: Simplify n into n 2.670 * [taylor]: Taking taylor expansion of f in f 2.670 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify 1 into 1 2.670 * [taylor]: Taking taylor expansion of (- f n) in f 2.670 * [taylor]: Taking taylor expansion of f in f 2.670 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify 1 into 1 2.670 * [taylor]: Taking taylor expansion of n in f 2.670 * [backup-simplify]: Simplify n into n 2.670 * [backup-simplify]: Simplify (+ n 0) into n 2.670 * [backup-simplify]: Simplify (- n) into (- n) 2.670 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.670 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.670 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.670 * [taylor]: Taking taylor expansion of (+ n f) in f 2.670 * [taylor]: Taking taylor expansion of n in f 2.670 * [backup-simplify]: Simplify n into n 2.670 * [taylor]: Taking taylor expansion of f in f 2.670 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify 1 into 1 2.670 * [taylor]: Taking taylor expansion of (- f n) in f 2.670 * [taylor]: Taking taylor expansion of f in f 2.670 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify 1 into 1 2.670 * [taylor]: Taking taylor expansion of n in f 2.670 * [backup-simplify]: Simplify n into n 2.670 * [backup-simplify]: Simplify (+ n 0) into n 2.670 * [backup-simplify]: Simplify (- n) into (- n) 2.670 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.670 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.670 * [taylor]: Taking taylor expansion of -1 in n 2.670 * [backup-simplify]: Simplify -1 into -1 2.670 * [backup-simplify]: Simplify -1 into -1 2.671 * [backup-simplify]: Simplify (+ 0 1) into 1 2.671 * [backup-simplify]: Simplify (- 0) into 0 2.671 * [backup-simplify]: Simplify (+ 1 0) into 1 2.671 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.671 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.671 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.671 * [taylor]: Taking taylor expansion of 2 in n 2.671 * [backup-simplify]: Simplify 2 into 2 2.671 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.671 * [taylor]: Taking taylor expansion of n in n 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify 1 into 1 2.672 * [backup-simplify]: Simplify (/ 1 1) into 1 2.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.673 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.673 * [backup-simplify]: Simplify (- 0) into 0 2.673 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify (+ 0 0) into 0 2.673 * [backup-simplify]: Simplify (- 0) into 0 2.674 * [backup-simplify]: Simplify (+ 0 0) into 0 2.674 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.674 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.674 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.674 * [taylor]: Taking taylor expansion of 2 in n 2.674 * [backup-simplify]: Simplify 2 into 2 2.674 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.674 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.674 * [taylor]: Taking taylor expansion of n in n 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 1 into 1 2.674 * [backup-simplify]: Simplify (* 1 1) into 1 2.674 * [backup-simplify]: Simplify (/ 1 1) into 1 2.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.677 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.677 * [backup-simplify]: Simplify (- 0) into 0 2.677 * [backup-simplify]: Simplify 0 into 0 2.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.678 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.678 * [backup-simplify]: Simplify (- 0) into 0 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify (+ 0 0) into 0 2.679 * [backup-simplify]: Simplify (- 0) into 0 2.679 * [backup-simplify]: Simplify (+ 0 0) into 0 2.679 * [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)))) 2.679 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.679 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.679 * [taylor]: Taking taylor expansion of 2 in n 2.679 * [backup-simplify]: Simplify 2 into 2 2.679 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.679 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.679 * [taylor]: Taking taylor expansion of n in n 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 1 into 1 2.679 * [backup-simplify]: Simplify (* 1 1) into 1 2.680 * [backup-simplify]: Simplify (* 1 1) into 1 2.680 * [backup-simplify]: Simplify (/ 1 1) into 1 2.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.685 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.685 * [backup-simplify]: Simplify (- 0) into 0 2.685 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify -1 into -1 2.685 * [backup-simplify]: Simplify (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 2.685 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in (f n) around 0 2.685 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.685 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.685 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.685 * [taylor]: Taking taylor expansion of f in n 2.685 * [backup-simplify]: Simplify f into f 2.685 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.685 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.685 * [taylor]: Taking taylor expansion of n in n 2.685 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify 1 into 1 2.685 * [backup-simplify]: Simplify (/ 1 1) into 1 2.686 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.686 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.686 * [taylor]: Taking taylor expansion of f in n 2.686 * [backup-simplify]: Simplify f into f 2.686 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.686 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.686 * [taylor]: Taking taylor expansion of n in n 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 1 into 1 2.686 * [backup-simplify]: Simplify (/ 1 1) into 1 2.686 * [backup-simplify]: Simplify (+ 0 1) into 1 2.686 * [backup-simplify]: Simplify (- 1) into -1 2.687 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.687 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.687 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.687 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.687 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.687 * [taylor]: Taking taylor expansion of f in f 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify 1 into 1 2.687 * [backup-simplify]: Simplify (/ 1 1) into 1 2.687 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.687 * [taylor]: Taking taylor expansion of n in f 2.687 * [backup-simplify]: Simplify n into n 2.687 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.687 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.687 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.687 * [taylor]: Taking taylor expansion of f in f 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify 1 into 1 2.688 * [backup-simplify]: Simplify (/ 1 1) into 1 2.688 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.688 * [taylor]: Taking taylor expansion of n in f 2.688 * [backup-simplify]: Simplify n into n 2.688 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.688 * [backup-simplify]: Simplify (+ 1 0) into 1 2.688 * [backup-simplify]: Simplify (+ 1 0) into 1 2.688 * [backup-simplify]: Simplify (/ 1 1) into 1 2.688 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.688 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.689 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.689 * [taylor]: Taking taylor expansion of f in f 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 1 into 1 2.689 * [backup-simplify]: Simplify (/ 1 1) into 1 2.689 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.689 * [taylor]: Taking taylor expansion of n in f 2.689 * [backup-simplify]: Simplify n into n 2.689 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.689 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.689 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.689 * [taylor]: Taking taylor expansion of f in f 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 1 into 1 2.689 * [backup-simplify]: Simplify (/ 1 1) into 1 2.689 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.689 * [taylor]: Taking taylor expansion of n in f 2.689 * [backup-simplify]: Simplify n into n 2.689 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.690 * [backup-simplify]: Simplify (+ 1 0) into 1 2.690 * [backup-simplify]: Simplify (+ 1 0) into 1 2.690 * [backup-simplify]: Simplify (/ 1 1) into 1 2.690 * [taylor]: Taking taylor expansion of 1 in n 2.690 * [backup-simplify]: Simplify 1 into 1 2.690 * [backup-simplify]: Simplify 1 into 1 2.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.691 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.691 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.691 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.691 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.691 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.691 * [taylor]: Taking taylor expansion of 2 in n 2.691 * [backup-simplify]: Simplify 2 into 2 2.691 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.691 * [taylor]: Taking taylor expansion of n in n 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.692 * [backup-simplify]: Simplify (/ 1 1) into 1 2.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.692 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.692 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.693 * [backup-simplify]: Simplify (+ 0 0) into 0 2.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.694 * [backup-simplify]: Simplify (- 0) into 0 2.694 * [backup-simplify]: Simplify (+ 0 0) into 0 2.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.695 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.695 * [taylor]: Taking taylor expansion of 2 in n 2.695 * [backup-simplify]: Simplify 2 into 2 2.695 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.695 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.695 * [taylor]: Taking taylor expansion of n in n 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify 1 into 1 2.695 * [backup-simplify]: Simplify (* 1 1) into 1 2.696 * [backup-simplify]: Simplify (/ 1 1) into 1 2.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.698 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.700 * [backup-simplify]: Simplify (+ 0 0) into 0 2.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.700 * [backup-simplify]: Simplify (- 0) into 0 2.701 * [backup-simplify]: Simplify (+ 0 0) into 0 2.702 * [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))) 2.702 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.702 * [taylor]: Taking taylor expansion of 2 in n 2.702 * [backup-simplify]: Simplify 2 into 2 2.702 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.702 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.702 * [taylor]: Taking taylor expansion of n in n 2.702 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify 1 into 1 2.702 * [backup-simplify]: Simplify (* 1 1) into 1 2.702 * [backup-simplify]: Simplify (* 1 1) into 1 2.703 * [backup-simplify]: Simplify (/ 1 1) into 1 2.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.707 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify 1 into 1 2.707 * [backup-simplify]: Simplify (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 2.707 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 2.707 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.708 * [taylor]: Taking taylor expansion of -1 in n 2.708 * [backup-simplify]: Simplify -1 into -1 2.708 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.708 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.708 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.708 * [taylor]: Taking taylor expansion of f in n 2.708 * [backup-simplify]: Simplify f into f 2.708 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.708 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.708 * [taylor]: Taking taylor expansion of n in n 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify 1 into 1 2.708 * [backup-simplify]: Simplify (/ 1 1) into 1 2.708 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.708 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.708 * [taylor]: Taking taylor expansion of n in n 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify 1 into 1 2.708 * [backup-simplify]: Simplify (/ 1 1) into 1 2.708 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.708 * [taylor]: Taking taylor expansion of f in n 2.708 * [backup-simplify]: Simplify f into f 2.708 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.709 * [backup-simplify]: Simplify (+ 0 1) into 1 2.709 * [backup-simplify]: Simplify (+ 1 0) into 1 2.709 * [backup-simplify]: Simplify (/ 1 1) into 1 2.709 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.709 * [taylor]: Taking taylor expansion of -1 in f 2.709 * [backup-simplify]: Simplify -1 into -1 2.709 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.709 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.709 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.709 * [taylor]: Taking taylor expansion of f in f 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 1 into 1 2.709 * [backup-simplify]: Simplify (/ 1 1) into 1 2.709 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.709 * [taylor]: Taking taylor expansion of n in f 2.709 * [backup-simplify]: Simplify n into n 2.709 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.710 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.710 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.710 * [taylor]: Taking taylor expansion of n in f 2.710 * [backup-simplify]: Simplify n into n 2.710 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.710 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.710 * [taylor]: Taking taylor expansion of f in f 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [backup-simplify]: Simplify (/ 1 1) into 1 2.710 * [backup-simplify]: Simplify (+ 1 0) into 1 2.710 * [backup-simplify]: Simplify (- 1) into -1 2.711 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.711 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.711 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.711 * [taylor]: Taking taylor expansion of -1 in f 2.711 * [backup-simplify]: Simplify -1 into -1 2.711 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.711 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.711 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.711 * [taylor]: Taking taylor expansion of f in f 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (/ 1 1) into 1 2.711 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.711 * [taylor]: Taking taylor expansion of n in f 2.711 * [backup-simplify]: Simplify n into n 2.711 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.711 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.711 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.711 * [taylor]: Taking taylor expansion of n in f 2.711 * [backup-simplify]: Simplify n into n 2.711 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.711 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.711 * [taylor]: Taking taylor expansion of f in f 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 1 into 1 2.712 * [backup-simplify]: Simplify (/ 1 1) into 1 2.712 * [backup-simplify]: Simplify (+ 1 0) into 1 2.712 * [backup-simplify]: Simplify (- 1) into -1 2.712 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.713 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.713 * [backup-simplify]: Simplify (* -1 -1) into 1 2.713 * [taylor]: Taking taylor expansion of 1 in n 2.713 * [backup-simplify]: Simplify 1 into 1 2.713 * [backup-simplify]: Simplify 1 into 1 2.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.713 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.714 * [backup-simplify]: Simplify (- 0) into 0 2.714 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.714 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.714 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.715 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.715 * [taylor]: Taking taylor expansion of 2 in n 2.715 * [backup-simplify]: Simplify 2 into 2 2.715 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.715 * [taylor]: Taking taylor expansion of n in n 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 1 into 1 2.715 * [backup-simplify]: Simplify (/ 1 1) into 1 2.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.716 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.717 * [backup-simplify]: Simplify (+ 0 0) into 0 2.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.717 * [backup-simplify]: Simplify (- 0) into 0 2.718 * [backup-simplify]: Simplify (+ 0 0) into 0 2.718 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.719 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.719 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.719 * [taylor]: Taking taylor expansion of 2 in n 2.719 * [backup-simplify]: Simplify 2 into 2 2.719 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.719 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.719 * [taylor]: Taking taylor expansion of n in n 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 1 into 1 2.719 * [backup-simplify]: Simplify (* 1 1) into 1 2.719 * [backup-simplify]: Simplify (/ 1 1) into 1 2.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.722 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.723 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.724 * [backup-simplify]: Simplify (+ 0 0) into 0 2.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.724 * [backup-simplify]: Simplify (- 0) into 0 2.725 * [backup-simplify]: Simplify (+ 0 0) into 0 2.726 * [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)))) 2.730 * [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))) 2.730 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.730 * [taylor]: Taking taylor expansion of 2 in n 2.730 * [backup-simplify]: Simplify 2 into 2 2.730 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.730 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.730 * [taylor]: Taking taylor expansion of n in n 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify 1 into 1 2.730 * [backup-simplify]: Simplify (* 1 1) into 1 2.731 * [backup-simplify]: Simplify (* 1 1) into 1 2.731 * [backup-simplify]: Simplify (/ 1 1) into 1 2.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.736 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify 1 into 1 2.736 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1) 2.736 * [backup-simplify]: Simplify (/ (+ f n) (- f n)) into (/ (+ n f) (- f n)) 2.736 * [approximate]: Taking taylor expansion of (/ (+ n f) (- f n)) in (f n) around 0 2.736 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.736 * [taylor]: Taking taylor expansion of (+ n f) in n 2.736 * [taylor]: Taking taylor expansion of n in n 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify 1 into 1 2.736 * [taylor]: Taking taylor expansion of f in n 2.736 * [backup-simplify]: Simplify f into f 2.736 * [taylor]: Taking taylor expansion of (- f n) in n 2.736 * [taylor]: Taking taylor expansion of f in n 2.736 * [backup-simplify]: Simplify f into f 2.736 * [taylor]: Taking taylor expansion of n in n 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify 1 into 1 2.736 * [backup-simplify]: Simplify (+ 0 f) into f 2.736 * [backup-simplify]: Simplify (- 0) into 0 2.736 * [backup-simplify]: Simplify (+ f 0) into f 2.736 * [backup-simplify]: Simplify (/ f f) into 1 2.736 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.736 * [taylor]: Taking taylor expansion of (+ n f) in f 2.736 * [taylor]: Taking taylor expansion of n in f 2.736 * [backup-simplify]: Simplify n into n 2.736 * [taylor]: Taking taylor expansion of f in f 2.736 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [taylor]: Taking taylor expansion of (- f n) in f 2.737 * [taylor]: Taking taylor expansion of f in f 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [taylor]: Taking taylor expansion of n in f 2.737 * [backup-simplify]: Simplify n into n 2.737 * [backup-simplify]: Simplify (+ n 0) into n 2.737 * [backup-simplify]: Simplify (- n) into (- n) 2.737 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.737 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.737 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.737 * [taylor]: Taking taylor expansion of (+ n f) in f 2.737 * [taylor]: Taking taylor expansion of n in f 2.737 * [backup-simplify]: Simplify n into n 2.737 * [taylor]: Taking taylor expansion of f in f 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [taylor]: Taking taylor expansion of (- f n) in f 2.737 * [taylor]: Taking taylor expansion of f in f 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [taylor]: Taking taylor expansion of n in f 2.737 * [backup-simplify]: Simplify n into n 2.737 * [backup-simplify]: Simplify (+ n 0) into n 2.737 * [backup-simplify]: Simplify (- n) into (- n) 2.737 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.737 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.737 * [taylor]: Taking taylor expansion of -1 in n 2.737 * [backup-simplify]: Simplify -1 into -1 2.737 * [backup-simplify]: Simplify -1 into -1 2.737 * [backup-simplify]: Simplify (+ 0 1) into 1 2.738 * [backup-simplify]: Simplify (- 0) into 0 2.738 * [backup-simplify]: Simplify (+ 1 0) into 1 2.738 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.738 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.738 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.738 * [taylor]: Taking taylor expansion of 2 in n 2.738 * [backup-simplify]: Simplify 2 into 2 2.738 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.738 * [taylor]: Taking taylor expansion of n in n 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [backup-simplify]: Simplify (/ 1 1) into 1 2.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.739 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.739 * [backup-simplify]: Simplify (- 0) into 0 2.739 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify (+ 0 0) into 0 2.740 * [backup-simplify]: Simplify (- 0) into 0 2.740 * [backup-simplify]: Simplify (+ 0 0) into 0 2.740 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.740 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.740 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.740 * [taylor]: Taking taylor expansion of 2 in n 2.740 * [backup-simplify]: Simplify 2 into 2 2.740 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.740 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.741 * [taylor]: Taking taylor expansion of n in n 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (* 1 1) into 1 2.741 * [backup-simplify]: Simplify (/ 1 1) into 1 2.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.743 * [backup-simplify]: Simplify (- 0) into 0 2.743 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.744 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.745 * [backup-simplify]: Simplify (- 0) into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (+ 0 0) into 0 2.745 * [backup-simplify]: Simplify (- 0) into 0 2.745 * [backup-simplify]: Simplify (+ 0 0) into 0 2.746 * [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)))) 2.746 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.746 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.746 * [taylor]: Taking taylor expansion of 2 in n 2.746 * [backup-simplify]: Simplify 2 into 2 2.746 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.746 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.746 * [taylor]: Taking taylor expansion of n in n 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (* 1 1) into 1 2.746 * [backup-simplify]: Simplify (* 1 1) into 1 2.747 * [backup-simplify]: Simplify (/ 1 1) into 1 2.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.751 * [backup-simplify]: Simplify (- 0) into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify -1 into -1 2.752 * [backup-simplify]: Simplify (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 2.752 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in (f n) around 0 2.752 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.752 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.752 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.752 * [taylor]: Taking taylor expansion of f in n 2.752 * [backup-simplify]: Simplify f into f 2.752 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.752 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.752 * [taylor]: Taking taylor expansion of n in n 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (/ 1 1) into 1 2.752 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.752 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.752 * [taylor]: Taking taylor expansion of f in n 2.752 * [backup-simplify]: Simplify f into f 2.752 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.752 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.752 * [taylor]: Taking taylor expansion of n in n 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (/ 1 1) into 1 2.753 * [backup-simplify]: Simplify (+ 0 1) into 1 2.753 * [backup-simplify]: Simplify (- 1) into -1 2.753 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.753 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.753 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.753 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.753 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.754 * [taylor]: Taking taylor expansion of f in f 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 1 into 1 2.754 * [backup-simplify]: Simplify (/ 1 1) into 1 2.754 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.754 * [taylor]: Taking taylor expansion of n in f 2.754 * [backup-simplify]: Simplify n into n 2.754 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.754 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.754 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.754 * [taylor]: Taking taylor expansion of f in f 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 1 into 1 2.754 * [backup-simplify]: Simplify (/ 1 1) into 1 2.754 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.754 * [taylor]: Taking taylor expansion of n in f 2.754 * [backup-simplify]: Simplify n into n 2.754 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.754 * [backup-simplify]: Simplify (+ 1 0) into 1 2.755 * [backup-simplify]: Simplify (+ 1 0) into 1 2.755 * [backup-simplify]: Simplify (/ 1 1) into 1 2.755 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.755 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.755 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.755 * [taylor]: Taking taylor expansion of f in f 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [backup-simplify]: Simplify (/ 1 1) into 1 2.755 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.755 * [taylor]: Taking taylor expansion of n in f 2.755 * [backup-simplify]: Simplify n into n 2.755 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.755 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.755 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.755 * [taylor]: Taking taylor expansion of f in f 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.756 * [backup-simplify]: Simplify (/ 1 1) into 1 2.756 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.756 * [taylor]: Taking taylor expansion of n in f 2.756 * [backup-simplify]: Simplify n into n 2.756 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.756 * [backup-simplify]: Simplify (+ 1 0) into 1 2.756 * [backup-simplify]: Simplify (+ 1 0) into 1 2.756 * [backup-simplify]: Simplify (/ 1 1) into 1 2.757 * [taylor]: Taking taylor expansion of 1 in n 2.757 * [backup-simplify]: Simplify 1 into 1 2.757 * [backup-simplify]: Simplify 1 into 1 2.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.757 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.758 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.758 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.758 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.758 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.758 * [taylor]: Taking taylor expansion of 2 in n 2.758 * [backup-simplify]: Simplify 2 into 2 2.758 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.758 * [taylor]: Taking taylor expansion of n in n 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 1 into 1 2.758 * [backup-simplify]: Simplify (/ 1 1) into 1 2.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.759 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.760 * [backup-simplify]: Simplify (+ 0 0) into 0 2.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.760 * [backup-simplify]: Simplify (- 0) into 0 2.761 * [backup-simplify]: Simplify (+ 0 0) into 0 2.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.761 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.761 * [taylor]: Taking taylor expansion of 2 in n 2.761 * [backup-simplify]: Simplify 2 into 2 2.761 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.761 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.761 * [taylor]: Taking taylor expansion of n in n 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 1 into 1 2.762 * [backup-simplify]: Simplify (* 1 1) into 1 2.762 * [backup-simplify]: Simplify (/ 1 1) into 1 2.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.764 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.765 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.767 * [backup-simplify]: Simplify (- 0) into 0 2.767 * [backup-simplify]: Simplify (+ 0 0) into 0 2.768 * [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))) 2.768 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.768 * [taylor]: Taking taylor expansion of 2 in n 2.768 * [backup-simplify]: Simplify 2 into 2 2.768 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.769 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.769 * [taylor]: Taking taylor expansion of n in n 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 1 into 1 2.769 * [backup-simplify]: Simplify (* 1 1) into 1 2.769 * [backup-simplify]: Simplify (* 1 1) into 1 2.769 * [backup-simplify]: Simplify (/ 1 1) into 1 2.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.774 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify 1 into 1 2.774 * [backup-simplify]: Simplify (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 2.774 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 2.774 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.774 * [taylor]: Taking taylor expansion of -1 in n 2.774 * [backup-simplify]: Simplify -1 into -1 2.774 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.774 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.774 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.774 * [taylor]: Taking taylor expansion of f in n 2.774 * [backup-simplify]: Simplify f into f 2.774 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.775 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.775 * [taylor]: Taking taylor expansion of n in n 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [backup-simplify]: Simplify (/ 1 1) into 1 2.775 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.775 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.775 * [taylor]: Taking taylor expansion of n in n 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [backup-simplify]: Simplify (/ 1 1) into 1 2.775 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.775 * [taylor]: Taking taylor expansion of f in n 2.775 * [backup-simplify]: Simplify f into f 2.775 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.775 * [backup-simplify]: Simplify (+ 0 1) into 1 2.776 * [backup-simplify]: Simplify (+ 1 0) into 1 2.776 * [backup-simplify]: Simplify (/ 1 1) into 1 2.776 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.776 * [taylor]: Taking taylor expansion of -1 in f 2.776 * [backup-simplify]: Simplify -1 into -1 2.776 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.776 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.776 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.776 * [taylor]: Taking taylor expansion of f in f 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 1 into 1 2.776 * [backup-simplify]: Simplify (/ 1 1) into 1 2.776 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.776 * [taylor]: Taking taylor expansion of n in f 2.776 * [backup-simplify]: Simplify n into n 2.776 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.776 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.776 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.776 * [taylor]: Taking taylor expansion of n in f 2.776 * [backup-simplify]: Simplify n into n 2.776 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.776 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.776 * [taylor]: Taking taylor expansion of f in f 2.776 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 1 into 1 2.777 * [backup-simplify]: Simplify (/ 1 1) into 1 2.777 * [backup-simplify]: Simplify (+ 1 0) into 1 2.777 * [backup-simplify]: Simplify (- 1) into -1 2.777 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.778 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.778 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.778 * [taylor]: Taking taylor expansion of -1 in f 2.778 * [backup-simplify]: Simplify -1 into -1 2.778 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.778 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.778 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.778 * [taylor]: Taking taylor expansion of f in f 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify (/ 1 1) into 1 2.778 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.778 * [taylor]: Taking taylor expansion of n in f 2.778 * [backup-simplify]: Simplify n into n 2.778 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.778 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.778 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.778 * [taylor]: Taking taylor expansion of n in f 2.778 * [backup-simplify]: Simplify n into n 2.778 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.778 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.778 * [taylor]: Taking taylor expansion of f in f 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify (/ 1 1) into 1 2.779 * [backup-simplify]: Simplify (+ 1 0) into 1 2.779 * [backup-simplify]: Simplify (- 1) into -1 2.779 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.779 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.780 * [backup-simplify]: Simplify (* -1 -1) into 1 2.780 * [taylor]: Taking taylor expansion of 1 in n 2.780 * [backup-simplify]: Simplify 1 into 1 2.780 * [backup-simplify]: Simplify 1 into 1 2.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.780 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.781 * [backup-simplify]: Simplify (- 0) into 0 2.781 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.781 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.781 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.781 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.781 * [taylor]: Taking taylor expansion of 2 in n 2.781 * [backup-simplify]: Simplify 2 into 2 2.781 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.781 * [taylor]: Taking taylor expansion of n in n 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 1 into 1 2.782 * [backup-simplify]: Simplify (/ 1 1) into 1 2.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.783 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.783 * [backup-simplify]: Simplify (+ 0 0) into 0 2.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.784 * [backup-simplify]: Simplify (- 0) into 0 2.784 * [backup-simplify]: Simplify (+ 0 0) into 0 2.785 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.785 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.785 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.786 * [taylor]: Taking taylor expansion of 2 in n 2.786 * [backup-simplify]: Simplify 2 into 2 2.786 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.786 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.786 * [taylor]: Taking taylor expansion of n in n 2.786 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify 1 into 1 2.786 * [backup-simplify]: Simplify (* 1 1) into 1 2.786 * [backup-simplify]: Simplify (/ 1 1) into 1 2.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.788 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.788 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.789 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.789 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.790 * [backup-simplify]: Simplify (+ 0 0) into 0 2.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.791 * [backup-simplify]: Simplify (- 0) into 0 2.791 * [backup-simplify]: Simplify (+ 0 0) into 0 2.792 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.793 * [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))) 2.793 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.793 * [taylor]: Taking taylor expansion of 2 in n 2.793 * [backup-simplify]: Simplify 2 into 2 2.793 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.793 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.793 * [taylor]: Taking taylor expansion of n in n 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify 1 into 1 2.793 * [backup-simplify]: Simplify (* 1 1) into 1 2.793 * [backup-simplify]: Simplify (* 1 1) into 1 2.794 * [backup-simplify]: Simplify (/ 1 1) into 1 2.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.798 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.799 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.799 * [backup-simplify]: Simplify (log (/ 1 (sqrt (exp (/ (+ f n) (- f n)))))) into (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) 2.799 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) in (f n) around 0 2.799 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) in n 2.799 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ n f) (- f n))))) in n 2.799 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in n 2.799 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in n 2.799 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.799 * [taylor]: Taking taylor expansion of (+ n f) in n 2.799 * [taylor]: Taking taylor expansion of n in n 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.799 * [taylor]: Taking taylor expansion of f in n 2.799 * [backup-simplify]: Simplify f into f 2.799 * [taylor]: Taking taylor expansion of (- f n) in n 2.799 * [taylor]: Taking taylor expansion of f in n 2.799 * [backup-simplify]: Simplify f into f 2.799 * [taylor]: Taking taylor expansion of n in n 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.799 * [backup-simplify]: Simplify (+ 0 f) into f 2.799 * [backup-simplify]: Simplify (- 0) into 0 2.799 * [backup-simplify]: Simplify (+ f 0) into f 2.799 * [backup-simplify]: Simplify (/ f f) into 1 2.799 * [backup-simplify]: Simplify (exp 1) into E 2.800 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.801 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 2.801 * [backup-simplify]: Simplify (+ 1 0) into 1 2.801 * [backup-simplify]: Simplify (- 1) into -1 2.801 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.801 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 2.802 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 f)) 1) 1)))) into (* 2 (/ E f)) 2.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E f)) E)))) into (- (* 2 (/ 1 (* E f)))) 2.803 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E f)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 f))) 2.804 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 2.804 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) in f 2.804 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ n f) (- f n))))) in f 2.804 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in f 2.804 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 2.804 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.804 * [taylor]: Taking taylor expansion of (+ n f) in f 2.804 * [taylor]: Taking taylor expansion of n in f 2.804 * [backup-simplify]: Simplify n into n 2.804 * [taylor]: Taking taylor expansion of f in f 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 1 into 1 2.804 * [taylor]: Taking taylor expansion of (- f n) in f 2.804 * [taylor]: Taking taylor expansion of f in f 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 1 into 1 2.804 * [taylor]: Taking taylor expansion of n in f 2.804 * [backup-simplify]: Simplify n into n 2.804 * [backup-simplify]: Simplify (+ n 0) into n 2.805 * [backup-simplify]: Simplify (- n) into (- n) 2.805 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.805 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.805 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.805 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 2.806 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 2.806 * [backup-simplify]: Simplify (+ 0 1) into 1 2.807 * [backup-simplify]: Simplify (- 0) into 0 2.807 * [backup-simplify]: Simplify (+ 1 0) into 1 2.807 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.807 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 2.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) n))) 2.810 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (* (exp -1) n))) (* 2 (sqrt (/ 1 (exp -1))))) into (* (sqrt (/ 1 (exp -1))) (/ 1 n)) 2.811 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 2.811 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) in f 2.811 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ n f) (- f n))))) in f 2.811 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in f 2.811 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 2.811 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.811 * [taylor]: Taking taylor expansion of (+ n f) in f 2.811 * [taylor]: Taking taylor expansion of n in f 2.811 * [backup-simplify]: Simplify n into n 2.811 * [taylor]: Taking taylor expansion of f in f 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 1 into 1 2.812 * [taylor]: Taking taylor expansion of (- f n) in f 2.812 * [taylor]: Taking taylor expansion of f in f 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 1 into 1 2.812 * [taylor]: Taking taylor expansion of n in f 2.812 * [backup-simplify]: Simplify n into n 2.812 * [backup-simplify]: Simplify (+ n 0) into n 2.812 * [backup-simplify]: Simplify (- n) into (- n) 2.812 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.812 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.812 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.812 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 2.813 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 2.814 * [backup-simplify]: Simplify (+ 0 1) into 1 2.814 * [backup-simplify]: Simplify (- 0) into 0 2.814 * [backup-simplify]: Simplify (+ 1 0) into 1 2.814 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.815 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 2.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) n))) 2.817 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (* (exp -1) n))) (* 2 (sqrt (/ 1 (exp -1))))) into (* (sqrt (/ 1 (exp -1))) (/ 1 n)) 2.819 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 2.819 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp -1)))) in n 2.819 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp -1))) in n 2.819 * [taylor]: Taking taylor expansion of (/ 1 (exp -1)) in n 2.819 * [taylor]: Taking taylor expansion of (exp -1) in n 2.819 * [taylor]: Taking taylor expansion of -1 in n 2.819 * [backup-simplify]: Simplify -1 into -1 2.819 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.822 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 2.823 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 2.824 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))))) into 0 2.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (exp -1))))) into 0 2.826 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 2.827 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 2.830 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* (sqrt (/ 1 (exp -1))) (/ 1 n))) 1)) (pow (sqrt (/ 1 (exp -1))) 1)))) 1) into (/ 1 n) 2.830 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.830 * [taylor]: Taking taylor expansion of n in n 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 1 into 1 2.830 * [backup-simplify]: Simplify (/ 1 1) into 1 2.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.831 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (/ 1 (exp -1))) 1)))) 1) into 0 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify (+ 0 0) into 0 2.832 * [backup-simplify]: Simplify (- 0) into 0 2.833 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.833 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 2.835 * [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)))) 2.837 * [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)))) 2.842 * [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)) 2.842 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.842 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.842 * [taylor]: Taking taylor expansion of n in n 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify (* 1 1) into 1 2.843 * [backup-simplify]: Simplify (/ 1 1) into 1 2.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* 0 (/ 0 (exp -1))))) into 0 2.847 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (exp -1))))) into 0 2.849 * [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 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify (+ 0 0) into 0 2.850 * [backup-simplify]: Simplify (- 0) into 0 2.850 * [backup-simplify]: Simplify (+ 0 0) into 0 2.850 * [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)))) 2.851 * [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))) 2.853 * [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)))) 2.857 * [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)))) 2.865 * [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)) 2.865 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.865 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.865 * [taylor]: Taking taylor expansion of n in n 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 1 into 1 2.866 * [backup-simplify]: Simplify (* 1 1) into 1 2.866 * [backup-simplify]: Simplify (* 1 1) into 1 2.866 * [backup-simplify]: Simplify (/ 1 1) into 1 2.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.870 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 2.872 * [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))))))) 2.872 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in (f n) around 0 2.872 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in n 2.872 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 2.872 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.872 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.872 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.872 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.872 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.872 * [taylor]: Taking taylor expansion of f in n 2.872 * [backup-simplify]: Simplify f into f 2.872 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.872 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.872 * [taylor]: Taking taylor expansion of n in n 2.872 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify 1 into 1 2.872 * [backup-simplify]: Simplify (/ 1 1) into 1 2.872 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.872 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.872 * [taylor]: Taking taylor expansion of f in n 2.872 * [backup-simplify]: Simplify f into f 2.872 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.872 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.872 * [taylor]: Taking taylor expansion of n in n 2.872 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify 1 into 1 2.873 * [backup-simplify]: Simplify (/ 1 1) into 1 2.873 * [backup-simplify]: Simplify (+ 0 1) into 1 2.873 * [backup-simplify]: Simplify (- 1) into -1 2.874 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.874 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.874 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.875 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 2.875 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 2.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.876 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 2.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.877 * [backup-simplify]: Simplify (- 0) into 0 2.877 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 2.877 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 2.877 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 f))) 1) 1)))) into (* -2 (/ (exp -1) f)) 2.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) f)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) f))) 2.880 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (* (exp -1) f))) (* 2 (sqrt (/ 1 (exp -1))))) into (* (sqrt (/ 1 (exp -1))) (/ 1 f)) 2.881 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 2.881 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in f 2.881 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.881 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.881 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.881 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.881 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.881 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.881 * [taylor]: Taking taylor expansion of f in f 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify 1 into 1 2.881 * [backup-simplify]: Simplify (/ 1 1) into 1 2.881 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.881 * [taylor]: Taking taylor expansion of n in f 2.881 * [backup-simplify]: Simplify n into n 2.881 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.881 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.881 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.881 * [taylor]: Taking taylor expansion of f in f 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify 1 into 1 2.882 * [backup-simplify]: Simplify (/ 1 1) into 1 2.882 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.882 * [taylor]: Taking taylor expansion of n in f 2.882 * [backup-simplify]: Simplify n into n 2.882 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.882 * [backup-simplify]: Simplify (+ 1 0) into 1 2.882 * [backup-simplify]: Simplify (+ 1 0) into 1 2.883 * [backup-simplify]: Simplify (/ 1 1) into 1 2.883 * [backup-simplify]: Simplify (exp 1) into E 2.883 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.883 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 2.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.884 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.884 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.884 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.885 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.885 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 2.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 2.886 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E n)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 2.887 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 2.887 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in f 2.887 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.887 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.887 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.887 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.887 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.887 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.887 * [taylor]: Taking taylor expansion of f in f 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify 1 into 1 2.888 * [backup-simplify]: Simplify (/ 1 1) into 1 2.888 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.888 * [taylor]: Taking taylor expansion of n in f 2.888 * [backup-simplify]: Simplify n into n 2.888 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.888 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.888 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.888 * [taylor]: Taking taylor expansion of f in f 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.888 * [backup-simplify]: Simplify (/ 1 1) into 1 2.888 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.888 * [taylor]: Taking taylor expansion of n in f 2.888 * [backup-simplify]: Simplify n into n 2.888 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.888 * [backup-simplify]: Simplify (+ 1 0) into 1 2.889 * [backup-simplify]: Simplify (+ 1 0) into 1 2.889 * [backup-simplify]: Simplify (/ 1 1) into 1 2.889 * [backup-simplify]: Simplify (exp 1) into E 2.889 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.890 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 2.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.890 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.891 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.891 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.891 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.891 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 2.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 2.892 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E n)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 2.893 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 2.893 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 E))) in n 2.893 * [taylor]: Taking taylor expansion of (sqrt (/ 1 E)) in n 2.893 * [taylor]: Taking taylor expansion of (/ 1 E) in n 2.894 * [taylor]: Taking taylor expansion of E in n 2.894 * [backup-simplify]: Simplify E into E 2.894 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.894 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 2.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 2.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 E)))) into 0 2.896 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 2.897 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 2.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 1)) (pow (sqrt (/ 1 E)) 1)))) 1) into (/ -1 n) 2.899 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.899 * [taylor]: Taking taylor expansion of -1 in n 2.899 * [backup-simplify]: Simplify -1 into -1 2.899 * [taylor]: Taking taylor expansion of n in n 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify 1 into 1 2.900 * [backup-simplify]: Simplify (/ -1 1) into -1 2.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.900 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (/ 1 E)) 1)))) 1) into 0 2.901 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.902 * [backup-simplify]: Simplify (+ 0 0) into 0 2.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.903 * [backup-simplify]: Simplify (- 0) into 0 2.903 * [backup-simplify]: Simplify (+ 0 0) into 0 2.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.904 * [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))) 2.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 4 (/ E (pow n 2))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 2 (/ E n)) E)))) into 0 2.906 * [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)))) 2.913 * [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)) 2.913 * [taylor]: Taking taylor expansion of (/ -1 (pow n 2)) in n 2.913 * [taylor]: Taking taylor expansion of -1 in n 2.913 * [backup-simplify]: Simplify -1 into -1 2.913 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.913 * [taylor]: Taking taylor expansion of n in n 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 2.914 * [backup-simplify]: Simplify (/ -1 1) into -1 2.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 2.918 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 E)))) into 0 2.920 * [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 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.921 * [backup-simplify]: Simplify (+ 0 0) into 0 2.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.921 * [backup-simplify]: Simplify (- 0) into 0 2.922 * [backup-simplify]: Simplify (+ 0 0) into 0 2.923 * [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))) 2.923 * [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))) 2.924 * [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)))) 2.926 * [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)))) 2.933 * [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)) 2.933 * [taylor]: Taking taylor expansion of (/ -1 (pow n 3)) in n 2.933 * [taylor]: Taking taylor expansion of -1 in n 2.933 * [backup-simplify]: Simplify -1 into -1 2.933 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.933 * [taylor]: Taking taylor expansion of n in n 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 1 into 1 2.933 * [backup-simplify]: Simplify (* 1 1) into 1 2.933 * [backup-simplify]: Simplify (* 1 1) into 1 2.933 * [backup-simplify]: Simplify (/ -1 1) into -1 2.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.938 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 2.939 * [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)))))))) 2.939 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))))) in (f n) around 0 2.939 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))))) in n 2.939 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in n 2.939 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 2.939 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 2.939 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.939 * [taylor]: Taking taylor expansion of -1 in n 2.939 * [backup-simplify]: Simplify -1 into -1 2.939 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.939 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.939 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.939 * [taylor]: Taking taylor expansion of f in n 2.939 * [backup-simplify]: Simplify f into f 2.939 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.939 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.939 * [taylor]: Taking taylor expansion of n in n 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 1 into 1 2.940 * [backup-simplify]: Simplify (/ 1 1) into 1 2.940 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.940 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.940 * [taylor]: Taking taylor expansion of n in n 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 f) in n 2.940 * [taylor]: Taking taylor expansion of f in n 2.940 * [backup-simplify]: Simplify f into f 2.940 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.940 * [backup-simplify]: Simplify (+ 0 1) into 1 2.940 * [backup-simplify]: Simplify (+ 1 0) into 1 2.941 * [backup-simplify]: Simplify (/ 1 1) into 1 2.941 * [backup-simplify]: Simplify (* -1 1) into -1 2.941 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.942 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 2.942 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 2.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.943 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 2.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.943 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 2.943 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 2.944 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 2.944 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 2.944 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 f))) 1) 1)))) into (* -2 (/ (exp -1) f)) 2.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) f)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) f))) 2.947 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (* (exp -1) f))) (* 2 (sqrt (/ 1 (exp -1))))) into (* (sqrt (/ 1 (exp -1))) (/ 1 f)) 2.948 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 2.948 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))))) in f 2.948 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in f 2.948 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 2.948 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.948 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.948 * [taylor]: Taking taylor expansion of -1 in f 2.948 * [backup-simplify]: Simplify -1 into -1 2.948 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.948 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.948 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.948 * [taylor]: Taking taylor expansion of f in f 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify 1 into 1 2.949 * [backup-simplify]: Simplify (/ 1 1) into 1 2.949 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.949 * [taylor]: Taking taylor expansion of n in f 2.949 * [backup-simplify]: Simplify n into n 2.949 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.949 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.949 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.949 * [taylor]: Taking taylor expansion of n in f 2.949 * [backup-simplify]: Simplify n into n 2.949 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.949 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.949 * [taylor]: Taking taylor expansion of f in f 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 1 into 1 2.949 * [backup-simplify]: Simplify (/ 1 1) into 1 2.949 * [backup-simplify]: Simplify (+ 1 0) into 1 2.949 * [backup-simplify]: Simplify (- 1) into -1 2.950 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.950 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.950 * [backup-simplify]: Simplify (* -1 -1) into 1 2.950 * [backup-simplify]: Simplify (exp 1) into E 2.951 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.951 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.952 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.952 * [backup-simplify]: Simplify (- 0) into 0 2.952 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.952 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.953 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.953 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 2.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 2.954 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E n)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 2.955 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 2.955 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))))) in f 2.955 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in f 2.955 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 2.955 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.955 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.955 * [taylor]: Taking taylor expansion of -1 in f 2.955 * [backup-simplify]: Simplify -1 into -1 2.955 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.955 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.955 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.955 * [taylor]: Taking taylor expansion of f in f 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 1 into 1 2.956 * [backup-simplify]: Simplify (/ 1 1) into 1 2.956 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.956 * [taylor]: Taking taylor expansion of n in f 2.956 * [backup-simplify]: Simplify n into n 2.956 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.956 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.956 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.956 * [taylor]: Taking taylor expansion of n in f 2.956 * [backup-simplify]: Simplify n into n 2.956 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.956 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.956 * [taylor]: Taking taylor expansion of f in f 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 1 into 1 2.956 * [backup-simplify]: Simplify (/ 1 1) into 1 2.956 * [backup-simplify]: Simplify (+ 1 0) into 1 2.957 * [backup-simplify]: Simplify (- 1) into -1 2.957 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.957 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.957 * [backup-simplify]: Simplify (* -1 -1) into 1 2.957 * [backup-simplify]: Simplify (exp 1) into E 2.958 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.958 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 2.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.959 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.959 * [backup-simplify]: Simplify (- 0) into 0 2.959 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.960 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.960 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.960 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 2.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 2.962 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E n)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 2.962 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 2.963 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 E))) in n 2.963 * [taylor]: Taking taylor expansion of (sqrt (/ 1 E)) in n 2.963 * [taylor]: Taking taylor expansion of (/ 1 E) in n 2.963 * [taylor]: Taking taylor expansion of E in n 2.963 * [backup-simplify]: Simplify E into E 2.963 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 2.964 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 2.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 2.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 E)))) into 0 2.966 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 2.967 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 2.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 1)) (pow (sqrt (/ 1 E)) 1)))) 1) into (/ -1 n) 2.969 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.969 * [taylor]: Taking taylor expansion of -1 in n 2.969 * [backup-simplify]: Simplify -1 into -1 2.969 * [taylor]: Taking taylor expansion of n in n 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 1 into 1 2.969 * [backup-simplify]: Simplify (/ -1 1) into -1 2.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.969 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (/ 1 E)) 1)))) 1) into 0 2.970 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.971 * [backup-simplify]: Simplify (+ 0 0) into 0 2.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.972 * [backup-simplify]: Simplify (- 0) into 0 2.972 * [backup-simplify]: Simplify (+ 0 0) into 0 2.973 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.974 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.974 * [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))) 2.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 4 (/ E (pow n 2))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 2 (/ E n)) E)))) into 0 2.976 * [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)))) 2.980 * [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)) 2.980 * [taylor]: Taking taylor expansion of (/ -1 (pow n 2)) in n 2.980 * [taylor]: Taking taylor expansion of -1 in n 2.980 * [backup-simplify]: Simplify -1 into -1 2.980 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.980 * [taylor]: Taking taylor expansion of n in n 2.980 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify 1 into 1 2.981 * [backup-simplify]: Simplify (* 1 1) into 1 2.981 * [backup-simplify]: Simplify (/ -1 1) into -1 2.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 2.985 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 E)))) into 0 2.986 * [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 2.986 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.987 * [backup-simplify]: Simplify (+ 0 0) into 0 2.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.988 * [backup-simplify]: Simplify (- 0) into 0 2.988 * [backup-simplify]: Simplify (+ 0 0) into 0 2.989 * [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)))) 2.990 * [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))) 2.991 * [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))) 2.991 * [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)))) 2.994 * [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)))) 3.003 * [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)) 3.003 * [taylor]: Taking taylor expansion of (/ -1 (pow n 3)) in n 3.003 * [taylor]: Taking taylor expansion of -1 in n 3.003 * [backup-simplify]: Simplify -1 into -1 3.003 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.003 * [taylor]: Taking taylor expansion of n in n 3.003 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify 1 into 1 3.003 * [backup-simplify]: Simplify (* 1 1) into 1 3.003 * [backup-simplify]: Simplify (* 1 1) into 1 3.004 * [backup-simplify]: Simplify (/ -1 1) into -1 3.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.008 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.009 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.009 * [backup-simplify]: Simplify (log (/ 1 (sqrt (exp (/ (+ f n) (- f n)))))) into (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) 3.009 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) in (f n) around 0 3.009 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) in n 3.009 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ n f) (- f n))))) in n 3.009 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in n 3.009 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in n 3.009 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.009 * [taylor]: Taking taylor expansion of (+ n f) 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 3.009 * [taylor]: Taking taylor expansion of f in n 3.009 * [backup-simplify]: Simplify f into f 3.009 * [taylor]: Taking taylor expansion of (- f n) in n 3.009 * [taylor]: Taking taylor expansion of f in n 3.010 * [backup-simplify]: Simplify f into f 3.010 * [taylor]: Taking taylor expansion of n in n 3.010 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify 1 into 1 3.010 * [backup-simplify]: Simplify (+ 0 f) into f 3.010 * [backup-simplify]: Simplify (- 0) into 0 3.010 * [backup-simplify]: Simplify (+ f 0) into f 3.010 * [backup-simplify]: Simplify (/ f f) into 1 3.010 * [backup-simplify]: Simplify (exp 1) into E 3.010 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.011 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.011 * [backup-simplify]: Simplify (+ 1 0) into 1 3.011 * [backup-simplify]: Simplify (- 1) into -1 3.012 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.012 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 3.012 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 f)) 1) 1)))) into (* 2 (/ E f)) 3.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E f)) E)))) into (- (* 2 (/ 1 (* E f)))) 3.013 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E f)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 f))) 3.014 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.014 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) in f 3.014 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ n f) (- f n))))) in f 3.014 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in f 3.014 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 3.014 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.014 * [taylor]: Taking taylor expansion of (+ n f) in f 3.014 * [taylor]: Taking taylor expansion of n in f 3.014 * [backup-simplify]: Simplify n into n 3.014 * [taylor]: Taking taylor expansion of f in f 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 1 into 1 3.014 * [taylor]: Taking taylor expansion of (- f n) in f 3.014 * [taylor]: Taking taylor expansion of f in f 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 1 into 1 3.014 * [taylor]: Taking taylor expansion of n in f 3.014 * [backup-simplify]: Simplify n into n 3.015 * [backup-simplify]: Simplify (+ n 0) into n 3.015 * [backup-simplify]: Simplify (- n) into (- n) 3.015 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.015 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.015 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.015 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 3.016 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 3.016 * [backup-simplify]: Simplify (+ 0 1) into 1 3.017 * [backup-simplify]: Simplify (- 0) into 0 3.017 * [backup-simplify]: Simplify (+ 1 0) into 1 3.017 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.018 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) n))) 3.020 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (* (exp -1) n))) (* 2 (sqrt (/ 1 (exp -1))))) into (* (sqrt (/ 1 (exp -1))) (/ 1 n)) 3.022 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.022 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ n f) (- f n)))))) in f 3.022 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ n f) (- f n))))) in f 3.022 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ n f) (- f n)))) in f 3.022 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 3.022 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.022 * [taylor]: Taking taylor expansion of (+ n f) in f 3.022 * [taylor]: Taking taylor expansion of n in f 3.022 * [backup-simplify]: Simplify n into n 3.022 * [taylor]: Taking taylor expansion of f in f 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.022 * [taylor]: Taking taylor expansion of (- f n) in f 3.022 * [taylor]: Taking taylor expansion of f in f 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.022 * [taylor]: Taking taylor expansion of n in f 3.022 * [backup-simplify]: Simplify n into n 3.022 * [backup-simplify]: Simplify (+ n 0) into n 3.022 * [backup-simplify]: Simplify (- n) into (- n) 3.022 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.022 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.022 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.023 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 3.023 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 3.024 * [backup-simplify]: Simplify (+ 0 1) into 1 3.024 * [backup-simplify]: Simplify (- 0) into 0 3.024 * [backup-simplify]: Simplify (+ 1 0) into 1 3.024 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.025 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) n)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) n))) 3.027 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (* (exp -1) n))) (* 2 (sqrt (/ 1 (exp -1))))) into (* (sqrt (/ 1 (exp -1))) (/ 1 n)) 3.029 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.029 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp -1)))) in n 3.029 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp -1))) in n 3.029 * [taylor]: Taking taylor expansion of (/ 1 (exp -1)) in n 3.029 * [taylor]: Taking taylor expansion of (exp -1) in n 3.029 * [taylor]: Taking taylor expansion of -1 in n 3.029 * [backup-simplify]: Simplify -1 into -1 3.029 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.029 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 3.030 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 3.031 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))))) into 0 3.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (exp -1))))) into 0 3.033 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.035 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.037 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* (sqrt (/ 1 (exp -1))) (/ 1 n))) 1)) (pow (sqrt (/ 1 (exp -1))) 1)))) 1) into (/ 1 n) 3.037 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.037 * [taylor]: Taking taylor expansion of n in n 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify (/ 1 1) into 1 3.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.038 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (/ 1 (exp -1))) 1)))) 1) into 0 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify (+ 0 0) into 0 3.039 * [backup-simplify]: Simplify (- 0) into 0 3.039 * [backup-simplify]: Simplify (+ 0 0) into 0 3.040 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.040 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 3.042 * [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)))) 3.044 * [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)))) 3.049 * [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)) 3.049 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.049 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.049 * [taylor]: Taking taylor expansion of n in n 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 1 into 1 3.050 * [backup-simplify]: Simplify (* 1 1) into 1 3.050 * [backup-simplify]: Simplify (/ 1 1) into 1 3.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ 0 (exp -1))) (* 0 (/ 0 (exp -1))))) into 0 3.054 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (exp -1))))) into 0 3.056 * [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 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify (+ 0 0) into 0 3.057 * [backup-simplify]: Simplify (- 0) into 0 3.057 * [backup-simplify]: Simplify (+ 0 0) into 0 3.057 * [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)))) 3.058 * [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))) 3.061 * [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)))) 3.064 * [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)))) 3.073 * [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)) 3.073 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.073 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.073 * [taylor]: Taking taylor expansion of n in n 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify 1 into 1 3.073 * [backup-simplify]: Simplify (* 1 1) into 1 3.073 * [backup-simplify]: Simplify (* 1 1) into 1 3.073 * [backup-simplify]: Simplify (/ 1 1) into 1 3.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.078 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.079 * [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))))))) 3.079 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in (f n) around 0 3.079 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in n 3.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 3.079 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 3.079 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.079 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.079 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.079 * [taylor]: Taking taylor expansion of f in n 3.079 * [backup-simplify]: Simplify f into f 3.079 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.079 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.079 * [taylor]: Taking taylor expansion of n in n 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 1 into 1 3.080 * [backup-simplify]: Simplify (/ 1 1) into 1 3.080 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.080 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.080 * [taylor]: Taking taylor expansion of f in n 3.080 * [backup-simplify]: Simplify f into f 3.080 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.080 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.080 * [taylor]: Taking taylor expansion of n in n 3.080 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify 1 into 1 3.080 * [backup-simplify]: Simplify (/ 1 1) into 1 3.080 * [backup-simplify]: Simplify (+ 0 1) into 1 3.080 * [backup-simplify]: Simplify (- 1) into -1 3.081 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.081 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.081 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.082 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 3.082 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.083 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.084 * [backup-simplify]: Simplify (- 0) into 0 3.084 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 3.084 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 3.084 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 f))) 1) 1)))) into (* -2 (/ (exp -1) f)) 3.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) f)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) f))) 3.087 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (* (exp -1) f))) (* 2 (sqrt (/ 1 (exp -1))))) into (* (sqrt (/ 1 (exp -1))) (/ 1 f)) 3.091 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.091 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in f 3.091 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 3.091 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.091 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.091 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.091 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.091 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.091 * [taylor]: Taking taylor expansion of f in f 3.091 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify 1 into 1 3.091 * [backup-simplify]: Simplify (/ 1 1) into 1 3.091 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.091 * [taylor]: Taking taylor expansion of n in f 3.091 * [backup-simplify]: Simplify n into n 3.091 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.092 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.092 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.092 * [taylor]: Taking taylor expansion of f in f 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 1 into 1 3.092 * [backup-simplify]: Simplify (/ 1 1) into 1 3.092 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.092 * [taylor]: Taking taylor expansion of n in f 3.092 * [backup-simplify]: Simplify n into n 3.092 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.092 * [backup-simplify]: Simplify (+ 1 0) into 1 3.092 * [backup-simplify]: Simplify (+ 1 0) into 1 3.093 * [backup-simplify]: Simplify (/ 1 1) into 1 3.093 * [backup-simplify]: Simplify (exp 1) into E 3.093 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.094 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.095 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.095 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.095 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 3.096 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E n)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 3.097 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.097 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in f 3.097 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 3.097 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.097 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.097 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.097 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.097 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.097 * [taylor]: Taking taylor expansion of f in f 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 1 into 1 3.098 * [backup-simplify]: Simplify (/ 1 1) into 1 3.098 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.098 * [taylor]: Taking taylor expansion of n in f 3.098 * [backup-simplify]: Simplify n into n 3.098 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.098 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.098 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.098 * [taylor]: Taking taylor expansion of f in f 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 1 into 1 3.098 * [backup-simplify]: Simplify (/ 1 1) into 1 3.098 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.098 * [taylor]: Taking taylor expansion of n in f 3.098 * [backup-simplify]: Simplify n into n 3.098 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.098 * [backup-simplify]: Simplify (+ 1 0) into 1 3.099 * [backup-simplify]: Simplify (+ 1 0) into 1 3.099 * [backup-simplify]: Simplify (/ 1 1) into 1 3.099 * [backup-simplify]: Simplify (exp 1) into E 3.099 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.100 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.100 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.101 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.101 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.101 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.101 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 3.103 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E n)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 3.104 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.104 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 E))) in n 3.104 * [taylor]: Taking taylor expansion of (sqrt (/ 1 E)) in n 3.104 * [taylor]: Taking taylor expansion of (/ 1 E) in n 3.104 * [taylor]: Taking taylor expansion of E in n 3.104 * [backup-simplify]: Simplify E into E 3.104 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.105 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 3.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 E)))) into 0 3.107 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.108 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 1)) (pow (sqrt (/ 1 E)) 1)))) 1) into (/ -1 n) 3.110 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.110 * [taylor]: Taking taylor expansion of -1 in n 3.110 * [backup-simplify]: Simplify -1 into -1 3.110 * [taylor]: Taking taylor expansion of n in n 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify 1 into 1 3.110 * [backup-simplify]: Simplify (/ -1 1) into -1 3.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (/ 1 E)) 1)))) 1) into 0 3.111 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.112 * [backup-simplify]: Simplify (+ 0 0) into 0 3.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.113 * [backup-simplify]: Simplify (- 0) into 0 3.113 * [backup-simplify]: Simplify (+ 0 0) into 0 3.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.114 * [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))) 3.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 4 (/ E (pow n 2))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 2 (/ E n)) E)))) into 0 3.117 * [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)))) 3.121 * [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)) 3.121 * [taylor]: Taking taylor expansion of (/ -1 (pow n 2)) in n 3.121 * [taylor]: Taking taylor expansion of -1 in n 3.121 * [backup-simplify]: Simplify -1 into -1 3.121 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.121 * [taylor]: Taking taylor expansion of n in n 3.121 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify 1 into 1 3.121 * [backup-simplify]: Simplify (* 1 1) into 1 3.121 * [backup-simplify]: Simplify (/ -1 1) into -1 3.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.123 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 3.125 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 E)))) into 0 3.127 * [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 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.128 * [backup-simplify]: Simplify (+ 0 0) into 0 3.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.129 * [backup-simplify]: Simplify (- 0) into 0 3.129 * [backup-simplify]: Simplify (+ 0 0) into 0 3.130 * [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))) 3.130 * [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))) 3.131 * [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)))) 3.133 * [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)))) 3.140 * [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)) 3.140 * [taylor]: Taking taylor expansion of (/ -1 (pow n 3)) in n 3.140 * [taylor]: Taking taylor expansion of -1 in n 3.140 * [backup-simplify]: Simplify -1 into -1 3.140 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.140 * [taylor]: Taking taylor expansion of n in n 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [backup-simplify]: Simplify (* 1 1) into 1 3.140 * [backup-simplify]: Simplify (* 1 1) into 1 3.140 * [backup-simplify]: Simplify (/ -1 1) into -1 3.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.145 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.146 * [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)))))))) 3.146 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))))) in (f n) around 0 3.146 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))))) in n 3.146 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in n 3.146 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 3.146 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 3.146 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 3.146 * [taylor]: Taking taylor expansion of -1 in n 3.146 * [backup-simplify]: Simplify -1 into -1 3.146 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.146 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.146 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.146 * [taylor]: Taking taylor expansion of f in n 3.146 * [backup-simplify]: Simplify f into f 3.146 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.146 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.146 * [taylor]: Taking taylor expansion of n in n 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 1 into 1 3.146 * [backup-simplify]: Simplify (/ 1 1) into 1 3.146 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.146 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.147 * [taylor]: Taking taylor expansion of n in n 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 1 into 1 3.147 * [backup-simplify]: Simplify (/ 1 1) into 1 3.147 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.147 * [taylor]: Taking taylor expansion of f in n 3.147 * [backup-simplify]: Simplify f into f 3.147 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.147 * [backup-simplify]: Simplify (+ 0 1) into 1 3.147 * [backup-simplify]: Simplify (+ 1 0) into 1 3.148 * [backup-simplify]: Simplify (/ 1 1) into 1 3.148 * [backup-simplify]: Simplify (* -1 1) into -1 3.148 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.149 * [backup-simplify]: Simplify (/ 1 (exp -1)) into (/ 1 (exp -1)) 3.149 * [backup-simplify]: Simplify (sqrt (/ 1 (exp -1))) into (sqrt (/ 1 (exp -1))) 3.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.150 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 3.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.150 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 3.150 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 3.151 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 3.151 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 3.151 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 f))) 1) 1)))) into (* -2 (/ (exp -1) f)) 3.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp -1)) (/ (* -2 (/ (exp -1) f)) (exp -1))))) into (* 2 (/ 1 (* (exp -1) f))) 3.154 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (* (exp -1) f))) (* 2 (sqrt (/ 1 (exp -1))))) into (* (sqrt (/ 1 (exp -1))) (/ 1 f)) 3.155 * [backup-simplify]: Simplify (log (sqrt (/ 1 (exp -1)))) into (log (sqrt (/ 1 (exp -1)))) 3.155 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))))) in f 3.155 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in f 3.155 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 3.155 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 3.155 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.155 * [taylor]: Taking taylor expansion of -1 in f 3.155 * [backup-simplify]: Simplify -1 into -1 3.155 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.155 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.155 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.155 * [taylor]: Taking taylor expansion of f in f 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 1 into 1 3.155 * [backup-simplify]: Simplify (/ 1 1) into 1 3.155 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.155 * [taylor]: Taking taylor expansion of n in f 3.156 * [backup-simplify]: Simplify n into n 3.156 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.156 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.156 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.156 * [taylor]: Taking taylor expansion of n in f 3.156 * [backup-simplify]: Simplify n into n 3.156 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.156 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.156 * [taylor]: Taking taylor expansion of f in f 3.156 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify 1 into 1 3.156 * [backup-simplify]: Simplify (/ 1 1) into 1 3.156 * [backup-simplify]: Simplify (+ 1 0) into 1 3.156 * [backup-simplify]: Simplify (- 1) into -1 3.157 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.157 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.157 * [backup-simplify]: Simplify (* -1 -1) into 1 3.157 * [backup-simplify]: Simplify (exp 1) into E 3.157 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.158 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.159 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.159 * [backup-simplify]: Simplify (- 0) into 0 3.159 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.159 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.160 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.160 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 3.161 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E n)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 3.162 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.162 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))))) in f 3.162 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) in f 3.162 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 3.162 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 3.162 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.162 * [taylor]: Taking taylor expansion of -1 in f 3.162 * [backup-simplify]: Simplify -1 into -1 3.162 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.162 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.162 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.162 * [taylor]: Taking taylor expansion of f in f 3.162 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify 1 into 1 3.163 * [backup-simplify]: Simplify (/ 1 1) into 1 3.163 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.163 * [taylor]: Taking taylor expansion of n in f 3.163 * [backup-simplify]: Simplify n into n 3.163 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.163 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.163 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.163 * [taylor]: Taking taylor expansion of n in f 3.163 * [backup-simplify]: Simplify n into n 3.163 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.163 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.163 * [taylor]: Taking taylor expansion of f in f 3.163 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify 1 into 1 3.163 * [backup-simplify]: Simplify (/ 1 1) into 1 3.163 * [backup-simplify]: Simplify (+ 1 0) into 1 3.164 * [backup-simplify]: Simplify (- 1) into -1 3.164 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.164 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.164 * [backup-simplify]: Simplify (* -1 -1) into 1 3.164 * [backup-simplify]: Simplify (exp 1) into E 3.165 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.165 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.166 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.166 * [backup-simplify]: Simplify (- 0) into 0 3.166 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.167 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.167 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.167 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 2 (/ E n)) E)))) into (- (* 2 (/ 1 (* E n)))) 3.169 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (* E n)))) (* 2 (sqrt (/ 1 E)))) into (* -1 (* (sqrt (/ 1 E)) (/ 1 n))) 3.170 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.170 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 E))) in n 3.170 * [taylor]: Taking taylor expansion of (sqrt (/ 1 E)) in n 3.170 * [taylor]: Taking taylor expansion of (/ 1 E) in n 3.170 * [taylor]: Taking taylor expansion of E in n 3.170 * [backup-simplify]: Simplify E into E 3.170 * [backup-simplify]: Simplify (/ 1 E) into (/ 1 E) 3.171 * [backup-simplify]: Simplify (sqrt (/ 1 E)) into (sqrt (/ 1 E)) 3.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)))) into 0 3.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 E)))) into 0 3.173 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.174 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1 (* (sqrt (/ 1 E)) (/ 1 n)))) 1)) (pow (sqrt (/ 1 E)) 1)))) 1) into (/ -1 n) 3.176 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.176 * [taylor]: Taking taylor expansion of -1 in n 3.176 * [backup-simplify]: Simplify -1 into -1 3.176 * [taylor]: Taking taylor expansion of n in n 3.176 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify 1 into 1 3.176 * [backup-simplify]: Simplify (/ -1 1) into -1 3.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.177 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (/ 1 E)) 1)))) 1) into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.179 * [backup-simplify]: Simplify (+ 0 0) into 0 3.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.182 * [backup-simplify]: Simplify (- 0) into 0 3.182 * [backup-simplify]: Simplify (+ 0 0) into 0 3.183 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.184 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.184 * [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))) 3.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ (* 4 (/ E (pow n 2))) E)) (* (- (* 2 (/ 1 (* E n)))) (/ (* 2 (/ E n)) E)))) into 0 3.186 * [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)))) 3.190 * [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)) 3.190 * [taylor]: Taking taylor expansion of (/ -1 (pow n 2)) 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 (pow n 2) in n 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 (/ -1 1) into -1 3.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.192 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 3.194 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 E)))) into 0 3.196 * [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 3.196 * [backup-simplify]: Simplify 0 into 0 3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.197 * [backup-simplify]: Simplify (+ 0 0) into 0 3.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (- 0) into 0 3.198 * [backup-simplify]: Simplify (+ 0 0) into 0 3.199 * [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)))) 3.200 * [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))) 3.200 * [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))) 3.201 * [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)))) 3.204 * [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)))) 3.210 * [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)) 3.210 * [taylor]: Taking taylor expansion of (/ -1 (pow n 3)) in n 3.210 * [taylor]: Taking taylor expansion of -1 in n 3.210 * [backup-simplify]: Simplify -1 into -1 3.210 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.210 * [taylor]: Taking taylor expansion of n in n 3.210 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify 1 into 1 3.210 * [backup-simplify]: Simplify (* 1 1) into 1 3.210 * [backup-simplify]: Simplify (* 1 1) into 1 3.211 * [backup-simplify]: Simplify (/ -1 1) into -1 3.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.215 * [backup-simplify]: Simplify 0 into 0 3.216 * [backup-simplify]: Simplify (log (sqrt (/ 1 E))) into (log (sqrt (/ 1 E))) 3.216 * * * [progress]: simplifying candidates 3.219 * [simplify]: Simplifying: (- (log (+ f n)) (log (- f n))) 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(sqrt (/ 1 (exp -1)))) (log (sqrt (/ 1 h2))) (log (sqrt (/ 1 h2))) 3.227 * * [simplify]: iteration 0 : 356 enodes (cost 1798 ) 3.231 * * [simplify]: iteration 1 : 966 enodes (cost 1706 ) 3.247 * * [simplify]: iteration 2 : 3501 enodes (cost 1598 ) 3.276 * * [simplify]: iteration 3 : 5001 enodes (cost 1550 ) 3.283 * * * [progress]: adding candidates to table 3.848 * [progress]: [Phase 3 of 3] Extracting. 3.849 * * [regime]: Finding splitpoints for: (# # # #) 3.852 * * * [regime-changes]: Trying 2 branch expressions: (n f) 3.852 * * * * [regimes]: Trying to branch on n from (# # # #) 3.874 * * * * [regimes]: Trying to branch on f from (# # # #) 3.890 * * * [regime]: Found split indices: #