0.733 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.311 * * * [progress]: [2/2] Setting up program. 0.313 * [progress]: [Phase 2 of 3] Improving. 0.316 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.316 * [simplify]: Sending expressions to egg_math: (/ (- (+ h0 h1)) (- h0 h1)) 0.319 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.320 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.322 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.323 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.324 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.326 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.327 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.328 * * [progress]: iteration 1 / 4 0.328 * * * [progress]: picking best candidate 0.330 * * * * [pick]: Picked # 0.330 * * * [progress]: localizing error 0.337 * * * [progress]: generating rewritten candidates 0.338 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.400 * * * [progress]: generating series expansions 0.401 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.407 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.407 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.408 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.408 * [taylor]: Taking taylor expansion of -1 in n 0.408 * [backup-simplify]: Simplify -1 into -1 0.408 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.408 * [taylor]: Taking taylor expansion of (+ n f) in n 0.408 * [taylor]: Taking taylor expansion of n in n 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [taylor]: Taking taylor expansion of f in n 0.408 * [backup-simplify]: Simplify f into f 0.408 * [taylor]: Taking taylor expansion of (- f n) in n 0.408 * [taylor]: Taking taylor expansion of f in n 0.408 * [backup-simplify]: Simplify f into f 0.408 * [taylor]: Taking taylor expansion of n in n 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (+ 0 f) into f 0.409 * [backup-simplify]: Simplify (- 0) into 0 0.409 * [backup-simplify]: Simplify (+ f 0) into f 0.409 * [backup-simplify]: Simplify (/ f f) into 1 0.409 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.409 * [taylor]: Taking taylor expansion of -1 in f 0.409 * [backup-simplify]: Simplify -1 into -1 0.409 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.409 * [taylor]: Taking taylor expansion of (+ n f) in f 0.409 * [taylor]: Taking taylor expansion of n in f 0.409 * [backup-simplify]: Simplify n into n 0.409 * [taylor]: Taking taylor expansion of f in f 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of (- f n) in f 0.409 * [taylor]: Taking taylor expansion of f in f 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of n in f 0.409 * [backup-simplify]: Simplify n into n 0.409 * [backup-simplify]: Simplify (+ n 0) into n 0.409 * [backup-simplify]: Simplify (- n) into (- n) 0.409 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.410 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.410 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.410 * [taylor]: Taking taylor expansion of -1 in f 0.410 * [backup-simplify]: Simplify -1 into -1 0.410 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.410 * [taylor]: Taking taylor expansion of (+ n f) in f 0.410 * [taylor]: Taking taylor expansion of n in f 0.410 * [backup-simplify]: Simplify n into n 0.410 * [taylor]: Taking taylor expansion of f in f 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [taylor]: Taking taylor expansion of (- f n) in f 0.410 * [taylor]: Taking taylor expansion of f in f 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [taylor]: Taking taylor expansion of n in f 0.410 * [backup-simplify]: Simplify n into n 0.410 * [backup-simplify]: Simplify (+ n 0) into n 0.410 * [backup-simplify]: Simplify (- n) into (- n) 0.410 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.410 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.411 * [backup-simplify]: Simplify (* -1 -1) into 1 0.411 * [taylor]: Taking taylor expansion of 1 in n 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (+ 0 1) into 1 0.412 * [backup-simplify]: Simplify (- 0) into 0 0.412 * [backup-simplify]: Simplify (+ 1 0) into 1 0.412 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.412 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.412 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.412 * [taylor]: Taking taylor expansion of 2 in n 0.412 * [backup-simplify]: Simplify 2 into 2 0.412 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.412 * [taylor]: Taking taylor expansion of n in n 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.416 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.416 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.416 * [taylor]: Taking taylor expansion of 2 in n 0.416 * [backup-simplify]: Simplify 2 into 2 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.416 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.416 * [taylor]: Taking taylor expansion of n in n 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (* 1 1) into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 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 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [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)))) 0.421 * [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))) 0.422 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) 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 3)) in n 0.422 * [taylor]: Taking taylor expansion of (pow n 3) 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 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.428 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.428 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.428 * [taylor]: Taking taylor expansion of -1 in n 0.428 * [backup-simplify]: Simplify -1 into -1 0.428 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.428 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.428 * [taylor]: Taking taylor expansion of f in n 0.428 * [backup-simplify]: Simplify f into f 0.428 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.428 * [taylor]: Taking taylor expansion of (/ 1 n) 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 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.428 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.428 * [taylor]: Taking taylor expansion of f in n 0.428 * [backup-simplify]: Simplify f into f 0.428 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.428 * [taylor]: Taking taylor expansion of (/ 1 n) 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 (+ 0 1) into 1 0.429 * [backup-simplify]: Simplify (- 1) into -1 0.429 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.429 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.430 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.430 * [taylor]: Taking taylor expansion of -1 in f 0.430 * [backup-simplify]: Simplify -1 into -1 0.430 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.430 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.430 * [taylor]: Taking taylor expansion of f in f 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.430 * [taylor]: Taking taylor expansion of n in f 0.430 * [backup-simplify]: Simplify n into n 0.430 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.430 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.430 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.430 * [taylor]: Taking taylor expansion of f in f 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.430 * [taylor]: Taking taylor expansion of n in f 0.430 * [backup-simplify]: Simplify n into n 0.430 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.431 * [backup-simplify]: Simplify (+ 1 0) into 1 0.431 * [backup-simplify]: Simplify (+ 1 0) into 1 0.431 * [backup-simplify]: Simplify (/ 1 1) into 1 0.431 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.431 * [taylor]: Taking taylor expansion of -1 in f 0.431 * [backup-simplify]: Simplify -1 into -1 0.431 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.431 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.431 * [taylor]: Taking taylor expansion of f in f 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (/ 1 1) into 1 0.431 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.431 * [taylor]: Taking taylor expansion of n in f 0.431 * [backup-simplify]: Simplify n into n 0.431 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.432 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.432 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.432 * [taylor]: Taking taylor expansion of f in f 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.432 * [taylor]: Taking taylor expansion of n in f 0.432 * [backup-simplify]: Simplify n into n 0.432 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.432 * [backup-simplify]: Simplify (+ 1 0) into 1 0.432 * [backup-simplify]: Simplify (+ 1 0) into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [backup-simplify]: Simplify (* -1 1) into -1 0.433 * [taylor]: Taking taylor expansion of -1 in n 0.433 * [backup-simplify]: Simplify -1 into -1 0.433 * [backup-simplify]: Simplify -1 into -1 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.434 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.434 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.434 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.434 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.434 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.434 * [taylor]: Taking taylor expansion of 2 in n 0.434 * [backup-simplify]: Simplify 2 into 2 0.434 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.434 * [taylor]: Taking taylor expansion of n in n 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.437 * [backup-simplify]: Simplify (- 0) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.438 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.439 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.439 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.439 * [taylor]: Taking taylor expansion of 2 in n 0.439 * [backup-simplify]: Simplify 2 into 2 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.439 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.439 * [taylor]: Taking taylor expansion of n in n 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (* 1 1) into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.441 * [backup-simplify]: Simplify (- 0) into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.444 * [backup-simplify]: Simplify (- 0) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [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))) 0.446 * [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)))) 0.446 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.446 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.446 * [taylor]: Taking taylor expansion of 2 in n 0.446 * [backup-simplify]: Simplify 2 into 2 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.446 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.446 * [taylor]: Taking taylor expansion of n in n 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (* 1 1) into 1 0.447 * [backup-simplify]: Simplify (* 1 1) into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (- 0) into 0 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify -1 into -1 0.452 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.452 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.452 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.452 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.452 * [taylor]: Taking taylor expansion of f in n 0.452 * [backup-simplify]: Simplify f into f 0.452 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.452 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.452 * [taylor]: Taking taylor expansion of n in n 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.453 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.453 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.453 * [taylor]: Taking taylor expansion of n in n 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.453 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.453 * [taylor]: Taking taylor expansion of f in n 0.453 * [backup-simplify]: Simplify f into f 0.453 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.453 * [backup-simplify]: Simplify (+ 0 1) into 1 0.453 * [backup-simplify]: Simplify (+ 1 0) into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.454 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.454 * [taylor]: Taking taylor expansion of f in f 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.454 * [taylor]: Taking taylor expansion of n in f 0.454 * [backup-simplify]: Simplify n into n 0.454 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.454 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.454 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.454 * [taylor]: Taking taylor expansion of n in f 0.454 * [backup-simplify]: Simplify n into n 0.454 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.454 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.454 * [taylor]: Taking taylor expansion of f in f 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.455 * [backup-simplify]: Simplify (+ 1 0) into 1 0.455 * [backup-simplify]: Simplify (- 1) into -1 0.455 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.455 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.455 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.455 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.455 * [taylor]: Taking taylor expansion of f in f 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.456 * [taylor]: Taking taylor expansion of n in f 0.456 * [backup-simplify]: Simplify n into n 0.456 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.456 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.456 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.456 * [taylor]: Taking taylor expansion of n in f 0.456 * [backup-simplify]: Simplify n into n 0.456 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.456 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.456 * [taylor]: Taking taylor expansion of f in f 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [backup-simplify]: Simplify (+ 1 0) into 1 0.457 * [backup-simplify]: Simplify (- 1) into -1 0.457 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.457 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.457 * [taylor]: Taking taylor expansion of -1 in n 0.457 * [backup-simplify]: Simplify -1 into -1 0.457 * [backup-simplify]: Simplify -1 into -1 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.462 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.463 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.463 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.463 * [taylor]: Taking taylor expansion of 2 in n 0.463 * [backup-simplify]: Simplify 2 into 2 0.463 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.463 * [taylor]: Taking taylor expansion of n in n 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.464 * [backup-simplify]: Simplify (- 0) into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.466 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.466 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.466 * [taylor]: Taking taylor expansion of 2 in n 0.466 * [backup-simplify]: Simplify 2 into 2 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.466 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.466 * [taylor]: Taking taylor expansion of n in n 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (* 1 1) into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.469 * [backup-simplify]: Simplify (- 0) into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.470 * [backup-simplify]: Simplify (- 0) into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [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)))) 0.473 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.473 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.473 * [taylor]: Taking taylor expansion of 2 in n 0.473 * [backup-simplify]: Simplify 2 into 2 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.473 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.473 * [taylor]: Taking taylor expansion of n in n 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 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 into -1 0.479 * * * [progress]: simplifying candidates 0.481 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.481 * [simplify]: Sending expressions to egg_math: (expm1 (/ (- (+ h0 h1)) (- h0 h1))) (log1p (/ (- (+ h0 h1)) (- h0 h1))) (- (log (- (+ h0 h1))) (log (- h0 h1))) (log (/ (- (+ h0 h1)) (- h0 h1))) (exp (/ (- (+ h0 h1)) (- h0 h1))) (/ (* (* (- (+ h0 h1)) (- (+ h0 h1))) (- (+ h0 h1))) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (cbrt (/ (- (+ h0 h1)) (- h0 h1))) (cbrt (/ (- (+ h0 h1)) (- h0 h1)))) (cbrt (/ (- (+ h0 h1)) (- h0 h1))) (* (* (/ (- (+ h0 h1)) (- h0 h1)) (/ (- (+ h0 h1)) (- h0 h1))) (/ (- (+ h0 h1)) (- h0 h1))) (sqrt (/ (- (+ h0 h1)) (- h0 h1))) (sqrt (/ (- (+ h0 h1)) (- h0 h1))) (- (- (+ h0 h1))) (- (- h0 h1)) (/ 0 (- h0 h1)) (/ (+ h0 h1) (- h0 h1)) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (cbrt (- (+ h0 h1))) (cbrt (- h0 h1))) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) (sqrt (- h0 h1))) (/ (cbrt (- (+ h0 h1))) (sqrt (- h0 h1))) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) 1) (/ (cbrt (- (+ h0 h1))) (- h0 h1)) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) (+ (sqrt h0) (sqrt h1))) (/ (cbrt (- (+ h0 h1))) (- (sqrt h0) (sqrt h1))) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) 1) (/ (cbrt (- (+ h0 h1))) (- h0 h1)) (/ (sqrt (- (+ h0 h1))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (sqrt (- (+ h0 h1))) (cbrt (- h0 h1))) (/ (sqrt (- (+ h0 h1))) (sqrt (- h0 h1))) (/ (sqrt (- (+ h0 h1))) (sqrt (- h0 h1))) (/ (sqrt (- (+ h0 h1))) 1) (/ (sqrt (- (+ h0 h1))) (- h0 h1)) (/ (sqrt (- (+ h0 h1))) (+ (sqrt h0) (sqrt h1))) (/ (sqrt (- (+ h0 h1))) (- (sqrt h0) (sqrt h1))) (/ (sqrt (- (+ h0 h1))) 1) (/ (sqrt (- (+ h0 h1))) (- h0 h1)) (/ 1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (+ h0 h1)) (cbrt (- h0 h1))) (/ 1 (sqrt (- h0 h1))) (/ (- (+ h0 h1)) (sqrt (- h0 h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (+ (sqrt h0) (sqrt h1))) (/ (- (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ -1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (+ h0 h1) (cbrt (- h0 h1))) (/ -1 (sqrt (- h0 h1))) (/ (+ h0 h1) (sqrt (- h0 h1))) (/ -1 1) (/ (+ h0 h1) (- h0 h1)) (/ -1 (+ (sqrt h0) (sqrt h1))) (/ (+ h0 h1) (- (sqrt h0) (sqrt h1))) (/ -1 1) (/ (+ h0 h1) (- h0 h1)) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (cbrt (+ h0 h1)) (cbrt (- h0 h1))) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (- h0 h1))) (/ (cbrt (+ h0 h1)) (sqrt (- h0 h1))) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) 1) (/ (cbrt (+ h0 h1)) (- h0 h1)) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (+ (sqrt h0) (sqrt h1))) (/ (cbrt (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) 1) (/ (cbrt (+ h0 h1)) (- h0 h1)) (/ (- (sqrt (+ h0 h1))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (sqrt (+ h0 h1)) (cbrt (- h0 h1))) (/ (- (sqrt (+ h0 h1))) (sqrt (- h0 h1))) (/ (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (/ (- (sqrt (+ h0 h1))) 1) (/ (sqrt (+ h0 h1)) (- h0 h1)) (/ (- (sqrt (+ h0 h1))) (+ (sqrt h0) (sqrt h1))) (/ (sqrt (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ (- (sqrt (+ h0 h1))) 1) (/ (sqrt (+ h0 h1)) (- h0 h1)) (/ (- 1) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (+ h0 h1) (cbrt (- h0 h1))) (/ (- 1) (sqrt (- h0 h1))) (/ (+ h0 h1) (sqrt (- h0 h1))) (/ (- 1) 1) (/ (+ h0 h1) (- h0 h1)) (/ (- 1) (+ (sqrt h0) (sqrt h1))) (/ (+ h0 h1) (- (sqrt h0) (sqrt h1))) (/ (- 1) 1) (/ (+ h0 h1) (- h0 h1)) (/ (- 1) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (+ h0 h1) (cbrt (- h0 h1))) (/ (- 1) (sqrt (- h0 h1))) (/ (+ h0 h1) (sqrt (- h0 h1))) (/ (- 1) 1) (/ (+ h0 h1) (- h0 h1)) (/ (- 1) (+ (sqrt h0) (sqrt h1))) (/ (+ h0 h1) (- (sqrt h0) (sqrt h1))) (/ (- 1) 1) (/ (+ h0 h1) (- h0 h1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (cbrt (+ h0 h1))) (cbrt (- h0 h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt (- h0 h1))) (/ (- (cbrt (+ h0 h1))) (sqrt (- h0 h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (- (cbrt (+ h0 h1))) (- h0 h1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (+ (sqrt h0) (sqrt h1))) (/ (- (cbrt (+ h0 h1))) (- (sqrt h0) (sqrt h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (- (cbrt (+ h0 h1))) (- h0 h1)) (/ (sqrt (+ h0 h1)) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (sqrt (+ h0 h1))) (cbrt (- h0 h1))) (/ (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (/ (- (sqrt (+ h0 h1))) (sqrt (- h0 h1))) (/ (sqrt (+ h0 h1)) 1) (/ (- (sqrt (+ h0 h1))) (- h0 h1)) (/ (sqrt (+ h0 h1)) (+ (sqrt h0) (sqrt h1))) (/ (- (sqrt (+ h0 h1))) (- (sqrt h0) (sqrt h1))) (/ (sqrt (+ h0 h1)) 1) (/ (- (sqrt (+ h0 h1))) (- h0 h1)) (/ 1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (+ h0 h1)) (cbrt (- h0 h1))) (/ 1 (sqrt (- h0 h1))) (/ (- (+ h0 h1)) (sqrt (- h0 h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (+ (sqrt h0) (sqrt h1))) (/ (- (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (+ h0 h1)) (cbrt (- h0 h1))) (/ 1 (sqrt (- h0 h1))) (/ (- (+ h0 h1)) (sqrt (- h0 h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (+ (sqrt h0) (sqrt h1))) (/ (- (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (- h0 h1)) (/ (- h0 h1) (- (+ h0 h1))) (/ (+ h0 h1) (- h0 h1)) (/ (- (+ h0 h1)) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (+ h0 h1)) (sqrt (- h0 h1))) (/ (- (+ h0 h1)) 1) (/ (- (+ h0 h1)) (+ (sqrt h0) (sqrt h1))) (/ (- (+ h0 h1)) 1) (/ (- h0 h1) (cbrt (- (+ h0 h1)))) (/ (- h0 h1) (sqrt (- (+ h0 h1)))) (/ (- h0 h1) (- (+ h0 h1))) (/ (- h0 h1) (+ h0 h1)) (/ (- h0 h1) (cbrt (+ h0 h1))) (/ (- h0 h1) (sqrt (+ h0 h1))) (/ (- h0 h1) (+ h0 h1)) (/ (- h0 h1) (+ h0 h1)) (/ (- h0 h1) (- (cbrt (+ h0 h1)))) (/ (- h0 h1) (- (sqrt (+ h0 h1)))) (/ (- h0 h1) (- (+ h0 h1))) (/ (- h0 h1) (- (+ h0 h1))) (/ (- (+ h0 h1)) (- (pow h0 3) (pow h1 3))) (/ (- (+ h0 h1)) (- (* h0 h0) (* h1 h1))) (* (- h0 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (- h0 h1) (- h0 h1)) 1 -1 -1 0.486 * * [simplify]: iteration 0 : 293 enodes (cost 774 ) 0.490 * * [simplify]: iteration 1 : 927 enodes (cost 758 ) 0.504 * * [simplify]: iteration 2 : 3021 enodes (cost 743 ) 0.542 * * [simplify]: iteration 3 : 5001 enodes (cost 743 ) 0.545 * * * [progress]: adding candidates to table 0.687 * * [progress]: iteration 2 / 4 0.687 * * * [progress]: picking best candidate 0.690 * * * * [pick]: Picked # 0.690 * * * [progress]: localizing error 0.699 * * * [progress]: generating rewritten candidates 0.699 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.700 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.730 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.735 * * * [progress]: generating series expansions 0.735 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.735 * [backup-simplify]: Simplify (expm1 (/ (- (+ f n)) (- f n))) into (expm1 (* -1 (/ (+ n f) (- f n)))) 0.736 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 0.736 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 0.737 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.737 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 0.737 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.737 * [taylor]: Taking taylor expansion of -1 in n 0.737 * [backup-simplify]: Simplify -1 into -1 0.737 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.737 * [taylor]: Taking taylor expansion of (+ n f) in n 0.737 * [taylor]: Taking taylor expansion of n in n 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [taylor]: Taking taylor expansion of f in n 0.737 * [backup-simplify]: Simplify f into f 0.737 * [taylor]: Taking taylor expansion of (- f n) in n 0.737 * [taylor]: Taking taylor expansion of f in n 0.737 * [backup-simplify]: Simplify f into f 0.737 * [taylor]: Taking taylor expansion of n in n 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (+ 0 f) into f 0.738 * [backup-simplify]: Simplify (- 0) into 0 0.738 * [backup-simplify]: Simplify (+ f 0) into f 0.738 * [backup-simplify]: Simplify (/ f f) into 1 0.738 * [backup-simplify]: Simplify (* -1 1) into -1 0.738 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.738 * [taylor]: Taking taylor expansion of 1 in n 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.739 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.739 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.739 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.739 * [taylor]: Taking taylor expansion of -1 in f 0.739 * [backup-simplify]: Simplify -1 into -1 0.739 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.739 * [taylor]: Taking taylor expansion of (+ n f) in f 0.739 * [taylor]: Taking taylor expansion of n in f 0.739 * [backup-simplify]: Simplify n into n 0.739 * [taylor]: Taking taylor expansion of f in f 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [taylor]: Taking taylor expansion of (- f n) in f 0.739 * [taylor]: Taking taylor expansion of f in f 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [taylor]: Taking taylor expansion of n in f 0.739 * [backup-simplify]: Simplify n into n 0.739 * [backup-simplify]: Simplify (+ n 0) into n 0.739 * [backup-simplify]: Simplify (- n) into (- n) 0.739 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.739 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.739 * [backup-simplify]: Simplify (* -1 -1) into 1 0.739 * [backup-simplify]: Simplify (exp 1) into E 0.739 * [taylor]: Taking taylor expansion of 1 in f 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.739 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.739 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.739 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.739 * [taylor]: Taking taylor expansion of -1 in f 0.739 * [backup-simplify]: Simplify -1 into -1 0.739 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.739 * [taylor]: Taking taylor expansion of (+ n f) in f 0.739 * [taylor]: Taking taylor expansion of n in f 0.739 * [backup-simplify]: Simplify n into n 0.739 * [taylor]: Taking taylor expansion of f in f 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [taylor]: Taking taylor expansion of (- f n) in f 0.739 * [taylor]: Taking taylor expansion of f in f 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [taylor]: Taking taylor expansion of n in f 0.739 * [backup-simplify]: Simplify n into n 0.740 * [backup-simplify]: Simplify (+ n 0) into n 0.740 * [backup-simplify]: Simplify (- n) into (- n) 0.740 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.740 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.740 * [backup-simplify]: Simplify (* -1 -1) into 1 0.740 * [backup-simplify]: Simplify (exp 1) into E 0.740 * [taylor]: Taking taylor expansion of 1 in f 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify (- 1) into -1 0.740 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 0.740 * [taylor]: Taking taylor expansion of (- E 1) in n 0.741 * [taylor]: Taking taylor expansion of E in n 0.741 * [backup-simplify]: Simplify E into E 0.741 * [taylor]: Taking taylor expansion of 1 in n 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify (- 1) into -1 0.741 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 0.741 * [backup-simplify]: Simplify (- E 1) into (- E 1) 0.742 * [backup-simplify]: Simplify (+ 0 1) into 1 0.742 * [backup-simplify]: Simplify (- 0) into 0 0.742 * [backup-simplify]: Simplify (+ 1 0) into 1 0.742 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.743 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.743 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 0.744 * [backup-simplify]: Simplify (- 0) into 0 0.747 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 0.747 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 0.747 * [taylor]: Taking taylor expansion of 2 in n 0.747 * [backup-simplify]: Simplify 2 into 2 0.747 * [taylor]: Taking taylor expansion of (/ E n) in n 0.747 * [taylor]: Taking taylor expansion of E in n 0.747 * [backup-simplify]: Simplify E into E 0.747 * [taylor]: Taking taylor expansion of n in n 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (/ E 1) into E 0.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify (- 0) into 0 0.749 * [backup-simplify]: Simplify (+ 0 0) into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify (+ 0 0) into 0 0.749 * [backup-simplify]: Simplify (- 0) into 0 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.750 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.751 * [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))) 0.751 * [backup-simplify]: Simplify (- 0) into 0 0.751 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 0.751 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 0.751 * [taylor]: Taking taylor expansion of 4 in n 0.751 * [backup-simplify]: Simplify 4 into 4 0.751 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 0.751 * [taylor]: Taking taylor expansion of E in n 0.751 * [backup-simplify]: Simplify E into E 0.751 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.751 * [taylor]: Taking taylor expansion of n in n 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [backup-simplify]: Simplify (* 1 1) into 1 0.752 * [backup-simplify]: Simplify (/ E 1) into E 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 0.754 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify (- 0) into 0 0.755 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify (- 0) into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.757 * [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)))) 0.757 * [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))) 0.758 * [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))) 0.758 * [backup-simplify]: Simplify (- 0) into 0 0.758 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 0.758 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 0.758 * [taylor]: Taking taylor expansion of 22/3 in n 0.758 * [backup-simplify]: Simplify 22/3 into 22/3 0.758 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 0.758 * [taylor]: Taking taylor expansion of E in n 0.758 * [backup-simplify]: Simplify E into E 0.758 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.758 * [taylor]: Taking taylor expansion of n in n 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (* 1 1) into 1 0.759 * [backup-simplify]: Simplify (* 1 1) into 1 0.759 * [backup-simplify]: Simplify (/ E 1) into E 0.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (- E 1) into (- E 1) 0.764 * [backup-simplify]: Simplify (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 0.764 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 0.764 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.764 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.764 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.765 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.765 * [taylor]: Taking taylor expansion of -1 in n 0.765 * [backup-simplify]: Simplify -1 into -1 0.765 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.765 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.765 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.765 * [taylor]: Taking taylor expansion of f in n 0.765 * [backup-simplify]: Simplify f into f 0.765 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.765 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.765 * [taylor]: Taking taylor expansion of n in n 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 1 into 1 0.765 * [backup-simplify]: Simplify (/ 1 1) into 1 0.765 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.765 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.765 * [taylor]: Taking taylor expansion of f in n 0.765 * [backup-simplify]: Simplify f into f 0.765 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.765 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.765 * [taylor]: Taking taylor expansion of n in n 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 1 into 1 0.765 * [backup-simplify]: Simplify (/ 1 1) into 1 0.766 * [backup-simplify]: Simplify (+ 0 1) into 1 0.766 * [backup-simplify]: Simplify (- 1) into -1 0.766 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.766 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.766 * [backup-simplify]: Simplify (* -1 -1) into 1 0.766 * [backup-simplify]: Simplify (exp 1) into E 0.766 * [taylor]: Taking taylor expansion of 1 in n 0.766 * [backup-simplify]: Simplify 1 into 1 0.767 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.767 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.767 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.767 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.767 * [taylor]: Taking taylor expansion of -1 in f 0.767 * [backup-simplify]: Simplify -1 into -1 0.767 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.767 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.767 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.767 * [taylor]: Taking taylor expansion of f in f 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 1 into 1 0.767 * [backup-simplify]: Simplify (/ 1 1) into 1 0.767 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.767 * [taylor]: Taking taylor expansion of n in f 0.767 * [backup-simplify]: Simplify n into n 0.767 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.767 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.767 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.767 * [taylor]: Taking taylor expansion of f in f 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 1 into 1 0.767 * [backup-simplify]: Simplify (/ 1 1) into 1 0.767 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.767 * [taylor]: Taking taylor expansion of n in f 0.767 * [backup-simplify]: Simplify n into n 0.767 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.768 * [backup-simplify]: Simplify (+ 1 0) into 1 0.768 * [backup-simplify]: Simplify (+ 1 0) into 1 0.768 * [backup-simplify]: Simplify (/ 1 1) into 1 0.768 * [backup-simplify]: Simplify (* -1 1) into -1 0.769 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.769 * [taylor]: Taking taylor expansion of 1 in f 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.769 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.769 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.769 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.769 * [taylor]: Taking taylor expansion of -1 in f 0.769 * [backup-simplify]: Simplify -1 into -1 0.769 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.769 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.769 * [taylor]: Taking taylor expansion of f in f 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (/ 1 1) into 1 0.769 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.769 * [taylor]: Taking taylor expansion of n in f 0.769 * [backup-simplify]: Simplify n into n 0.769 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.769 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.769 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.769 * [taylor]: Taking taylor expansion of f in f 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (/ 1 1) into 1 0.769 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.769 * [taylor]: Taking taylor expansion of n in f 0.769 * [backup-simplify]: Simplify n into n 0.770 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.770 * [backup-simplify]: Simplify (+ 1 0) into 1 0.770 * [backup-simplify]: Simplify (+ 1 0) into 1 0.770 * [backup-simplify]: Simplify (/ 1 1) into 1 0.770 * [backup-simplify]: Simplify (* -1 1) into -1 0.771 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.771 * [taylor]: Taking taylor expansion of 1 in f 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify (- 1) into -1 0.771 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.771 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 0.771 * [taylor]: Taking taylor expansion of (exp -1) in n 0.771 * [taylor]: Taking taylor expansion of -1 in n 0.771 * [backup-simplify]: Simplify -1 into -1 0.772 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.772 * [taylor]: Taking taylor expansion of 1 in n 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (- 1) into -1 0.772 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.773 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.774 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.774 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.774 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.775 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 0.775 * [backup-simplify]: Simplify (- 0) into 0 0.775 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 0.775 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 0.775 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 0.775 * [taylor]: Taking taylor expansion of 2 in n 0.775 * [backup-simplify]: Simplify 2 into 2 0.775 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 0.775 * [taylor]: Taking taylor expansion of (exp -1) in n 0.775 * [taylor]: Taking taylor expansion of -1 in n 0.775 * [backup-simplify]: Simplify -1 into -1 0.776 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.776 * [taylor]: Taking taylor expansion of n in n 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.776 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 0.777 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 0.778 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 0.778 * [backup-simplify]: Simplify (- 0) into 0 0.778 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.779 * [backup-simplify]: Simplify (- 0) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.780 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.781 * [backup-simplify]: Simplify (- 0) into 0 0.781 * [backup-simplify]: Simplify (+ 0 0) into 0 0.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.782 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.783 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 0.783 * [backup-simplify]: Simplify (- 0) into 0 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.783 * [taylor]: Taking taylor expansion of 0 in n 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.785 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 0.786 * [backup-simplify]: Simplify (- 0) into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.787 * [backup-simplify]: Simplify (- 0) into 0 0.787 * [backup-simplify]: Simplify (+ 0 0) into 0 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.789 * [backup-simplify]: Simplify (- 0) into 0 0.789 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [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))) 0.790 * [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)))) 0.791 * [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))) 0.791 * [backup-simplify]: Simplify (- 0) into 0 0.792 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 0.792 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 0.792 * [taylor]: Taking taylor expansion of 2/3 in n 0.792 * [backup-simplify]: Simplify 2/3 into 2/3 0.792 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 0.792 * [taylor]: Taking taylor expansion of (exp -1) in n 0.792 * [taylor]: Taking taylor expansion of -1 in n 0.792 * [backup-simplify]: Simplify -1 into -1 0.792 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.792 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.792 * [taylor]: Taking taylor expansion of n in n 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 1 into 1 0.792 * [backup-simplify]: Simplify (* 1 1) into 1 0.792 * [backup-simplify]: Simplify (* 1 1) into 1 0.793 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 0.794 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.799 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 0.801 * [backup-simplify]: Simplify (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 0.801 * [approximate]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 0.801 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.801 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.801 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.802 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.802 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.802 * [taylor]: Taking taylor expansion of f in n 0.802 * [backup-simplify]: Simplify f into f 0.802 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.802 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.802 * [taylor]: Taking taylor expansion of n in n 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [backup-simplify]: Simplify (/ 1 1) into 1 0.802 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.802 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.802 * [taylor]: Taking taylor expansion of n in n 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [backup-simplify]: Simplify (/ 1 1) into 1 0.802 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.802 * [taylor]: Taking taylor expansion of f in n 0.802 * [backup-simplify]: Simplify f into f 0.802 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.803 * [backup-simplify]: Simplify (+ 0 1) into 1 0.803 * [backup-simplify]: Simplify (+ 1 0) into 1 0.803 * [backup-simplify]: Simplify (/ 1 1) into 1 0.803 * [backup-simplify]: Simplify (exp 1) into E 0.803 * [taylor]: Taking taylor expansion of 1 in n 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.803 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.803 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.803 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.803 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.803 * [taylor]: Taking taylor expansion of f in f 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (/ 1 1) into 1 0.803 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.803 * [taylor]: Taking taylor expansion of n in f 0.804 * [backup-simplify]: Simplify n into n 0.804 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.804 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.804 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.804 * [taylor]: Taking taylor expansion of n in f 0.804 * [backup-simplify]: Simplify n into n 0.804 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.804 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.804 * [taylor]: Taking taylor expansion of f in f 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) into 1 0.804 * [backup-simplify]: Simplify (- 1) into -1 0.805 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.805 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.805 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.805 * [taylor]: Taking taylor expansion of 1 in f 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.805 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.805 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.805 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.805 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.805 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.805 * [taylor]: Taking taylor expansion of f in f 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (/ 1 1) into 1 0.806 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.806 * [taylor]: Taking taylor expansion of n in f 0.806 * [backup-simplify]: Simplify n into n 0.806 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.806 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.806 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.806 * [taylor]: Taking taylor expansion of n in f 0.806 * [backup-simplify]: Simplify n into n 0.806 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.806 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.806 * [taylor]: Taking taylor expansion of f in f 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 1 into 1 0.806 * [backup-simplify]: Simplify (/ 1 1) into 1 0.806 * [backup-simplify]: Simplify (+ 1 0) into 1 0.806 * [backup-simplify]: Simplify (- 1) into -1 0.807 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.807 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.807 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.807 * [taylor]: Taking taylor expansion of 1 in f 0.807 * [backup-simplify]: Simplify 1 into 1 0.807 * [backup-simplify]: Simplify (- 1) into -1 0.808 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.808 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 0.808 * [taylor]: Taking taylor expansion of (exp -1) in n 0.808 * [taylor]: Taking taylor expansion of -1 in n 0.808 * [backup-simplify]: Simplify -1 into -1 0.808 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.808 * [taylor]: Taking taylor expansion of 1 in n 0.808 * [backup-simplify]: Simplify 1 into 1 0.808 * [backup-simplify]: Simplify (- 1) into -1 0.809 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.809 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 0.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (- 0) into 0 0.811 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.811 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.811 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 0.811 * [backup-simplify]: Simplify (- 0) into 0 0.812 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 0.812 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 0.812 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) 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 (/ (exp -1) n) in n 0.812 * [taylor]: Taking taylor expansion of (exp -1) in n 0.812 * [taylor]: Taking taylor expansion of -1 in n 0.812 * [backup-simplify]: Simplify -1 into -1 0.812 * [backup-simplify]: Simplify (exp -1) into (exp -1) 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 (/ (exp -1) 1) into (exp -1) 0.813 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 0.814 * [backup-simplify]: Simplify (- 0) into 0 0.814 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.815 * [backup-simplify]: Simplify (- 0) into 0 0.815 * [backup-simplify]: Simplify (+ 0 0) into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.816 * [backup-simplify]: Simplify (+ 0 0) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (- 0) into 0 0.817 * [backup-simplify]: Simplify (+ 0 0) into 0 0.818 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.818 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 0.819 * [backup-simplify]: Simplify (- 0) into 0 0.819 * [backup-simplify]: Simplify (+ 0 0) into 0 0.819 * [taylor]: Taking taylor expansion of 0 in n 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 0.821 * [backup-simplify]: Simplify (- 0) into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.822 * [backup-simplify]: Simplify (- 0) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.824 * [backup-simplify]: Simplify (- 0) into 0 0.824 * [backup-simplify]: Simplify (+ 0 0) into 0 0.825 * [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)))) 0.826 * [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))) 0.827 * [backup-simplify]: Simplify (- 0) into 0 0.827 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 0.827 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 0.827 * [taylor]: Taking taylor expansion of 2/3 in n 0.827 * [backup-simplify]: Simplify 2/3 into 2/3 0.827 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 0.827 * [taylor]: Taking taylor expansion of (exp -1) in n 0.827 * [taylor]: Taking taylor expansion of -1 in n 0.827 * [backup-simplify]: Simplify -1 into -1 0.827 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.827 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.827 * [taylor]: Taking taylor expansion of n in n 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.828 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 0.829 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.837 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 0.839 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.840 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.840 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.840 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.840 * [taylor]: Taking taylor expansion of -1 in n 0.840 * [backup-simplify]: Simplify -1 into -1 0.840 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.840 * [taylor]: Taking taylor expansion of (+ n f) in n 0.840 * [taylor]: Taking taylor expansion of n in n 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [taylor]: Taking taylor expansion of f in n 0.840 * [backup-simplify]: Simplify f into f 0.840 * [taylor]: Taking taylor expansion of (- f n) in n 0.840 * [taylor]: Taking taylor expansion of f in n 0.840 * [backup-simplify]: Simplify f into f 0.840 * [taylor]: Taking taylor expansion of n in n 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [backup-simplify]: Simplify (+ 0 f) into f 0.840 * [backup-simplify]: Simplify (- 0) into 0 0.840 * [backup-simplify]: Simplify (+ f 0) into f 0.840 * [backup-simplify]: Simplify (/ f f) into 1 0.840 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.840 * [taylor]: Taking taylor expansion of -1 in f 0.840 * [backup-simplify]: Simplify -1 into -1 0.840 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.840 * [taylor]: Taking taylor expansion of (+ n f) in f 0.840 * [taylor]: Taking taylor expansion of n in f 0.840 * [backup-simplify]: Simplify n into n 0.840 * [taylor]: Taking taylor expansion of f in f 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [taylor]: Taking taylor expansion of (- f n) in f 0.840 * [taylor]: Taking taylor expansion of f in f 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [taylor]: Taking taylor expansion of n in f 0.840 * [backup-simplify]: Simplify n into n 0.840 * [backup-simplify]: Simplify (+ n 0) into n 0.840 * [backup-simplify]: Simplify (- n) into (- n) 0.840 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.841 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.841 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.841 * [taylor]: Taking taylor expansion of -1 in f 0.841 * [backup-simplify]: Simplify -1 into -1 0.841 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.841 * [taylor]: Taking taylor expansion of (+ n f) in f 0.841 * [taylor]: Taking taylor expansion of n in f 0.841 * [backup-simplify]: Simplify n into n 0.841 * [taylor]: Taking taylor expansion of f in f 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 1 into 1 0.841 * [taylor]: Taking taylor expansion of (- f n) in f 0.841 * [taylor]: Taking taylor expansion of f in f 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 1 into 1 0.841 * [taylor]: Taking taylor expansion of n in f 0.841 * [backup-simplify]: Simplify n into n 0.841 * [backup-simplify]: Simplify (+ n 0) into n 0.841 * [backup-simplify]: Simplify (- n) into (- n) 0.841 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.841 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.841 * [backup-simplify]: Simplify (* -1 -1) into 1 0.841 * [taylor]: Taking taylor expansion of 1 in n 0.841 * [backup-simplify]: Simplify 1 into 1 0.841 * [backup-simplify]: Simplify 1 into 1 0.841 * [backup-simplify]: Simplify (+ 0 1) into 1 0.842 * [backup-simplify]: Simplify (- 0) into 0 0.842 * [backup-simplify]: Simplify (+ 1 0) into 1 0.842 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.842 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.842 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.842 * [taylor]: Taking taylor expansion of 2 in n 0.842 * [backup-simplify]: Simplify 2 into 2 0.842 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.842 * [taylor]: Taking taylor expansion of n in n 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.843 * [backup-simplify]: Simplify (/ 1 1) into 1 0.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.844 * [backup-simplify]: Simplify (- 0) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.844 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.845 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.845 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.845 * [taylor]: Taking taylor expansion of 2 in n 0.845 * [backup-simplify]: Simplify 2 into 2 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.845 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.845 * [taylor]: Taking taylor expansion of n in n 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.845 * [backup-simplify]: Simplify (* 1 1) into 1 0.846 * [backup-simplify]: Simplify (/ 1 1) into 1 0.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.849 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify (+ 0 0) into 0 0.849 * [backup-simplify]: Simplify (- 0) into 0 0.849 * [backup-simplify]: Simplify (+ 0 0) into 0 0.850 * [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)))) 0.850 * [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))) 0.850 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.850 * [taylor]: Taking taylor expansion of 2 in n 0.850 * [backup-simplify]: Simplify 2 into 2 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.850 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.850 * [taylor]: Taking taylor expansion of n in n 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (* 1 1) into 1 0.851 * [backup-simplify]: Simplify (* 1 1) into 1 0.851 * [backup-simplify]: Simplify (/ 1 1) into 1 0.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 1 into 1 0.856 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.856 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.856 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.856 * [taylor]: Taking taylor expansion of -1 in n 0.856 * [backup-simplify]: Simplify -1 into -1 0.856 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.856 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.856 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.856 * [taylor]: Taking taylor expansion of f in n 0.856 * [backup-simplify]: Simplify f into f 0.856 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.856 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.856 * [taylor]: Taking taylor expansion of n in n 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 1 into 1 0.856 * [backup-simplify]: Simplify (/ 1 1) into 1 0.856 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.856 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.856 * [taylor]: Taking taylor expansion of f in n 0.856 * [backup-simplify]: Simplify f into f 0.856 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.856 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.856 * [taylor]: Taking taylor expansion of n in n 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 1 into 1 0.857 * [backup-simplify]: Simplify (/ 1 1) into 1 0.857 * [backup-simplify]: Simplify (+ 0 1) into 1 0.857 * [backup-simplify]: Simplify (- 1) into -1 0.857 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.857 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.857 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.858 * [taylor]: Taking taylor expansion of -1 in f 0.858 * [backup-simplify]: Simplify -1 into -1 0.858 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.858 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.858 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.858 * [taylor]: Taking taylor expansion of f in f 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 1 into 1 0.858 * [backup-simplify]: Simplify (/ 1 1) into 1 0.858 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.858 * [taylor]: Taking taylor expansion of n in f 0.858 * [backup-simplify]: Simplify n into n 0.858 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.858 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.858 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.858 * [taylor]: Taking taylor expansion of f in f 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 1 into 1 0.858 * [backup-simplify]: Simplify (/ 1 1) into 1 0.858 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.858 * [taylor]: Taking taylor expansion of n in f 0.858 * [backup-simplify]: Simplify n into n 0.858 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.859 * [backup-simplify]: Simplify (+ 1 0) into 1 0.859 * [backup-simplify]: Simplify (+ 1 0) into 1 0.859 * [backup-simplify]: Simplify (/ 1 1) into 1 0.859 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.859 * [taylor]: Taking taylor expansion of -1 in f 0.859 * [backup-simplify]: Simplify -1 into -1 0.859 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.859 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.859 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.859 * [taylor]: Taking taylor expansion of n in f 0.859 * [backup-simplify]: Simplify n into n 0.859 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.859 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.859 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.860 * [taylor]: Taking taylor expansion of f in f 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 1 into 1 0.860 * [backup-simplify]: Simplify (/ 1 1) into 1 0.860 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.860 * [taylor]: Taking taylor expansion of n in f 0.860 * [backup-simplify]: Simplify n into n 0.860 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.860 * [backup-simplify]: Simplify (+ 1 0) into 1 0.860 * [backup-simplify]: Simplify (+ 1 0) into 1 0.861 * [backup-simplify]: Simplify (/ 1 1) into 1 0.861 * [backup-simplify]: Simplify (* -1 1) into -1 0.861 * [taylor]: Taking taylor expansion of -1 in n 0.861 * [backup-simplify]: Simplify -1 into -1 0.861 * [backup-simplify]: Simplify -1 into -1 0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.862 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.862 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.862 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.862 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.862 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.862 * [taylor]: Taking taylor expansion of 2 in n 0.862 * [backup-simplify]: Simplify 2 into 2 0.862 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.862 * [taylor]: Taking taylor expansion of n in n 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.863 * [backup-simplify]: Simplify (/ 1 1) into 1 0.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.863 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.864 * [backup-simplify]: Simplify (- 0) into 0 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.864 * [backup-simplify]: Simplify (+ 0 0) into 0 0.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.865 * [backup-simplify]: Simplify (- 0) into 0 0.865 * [backup-simplify]: Simplify (+ 0 0) into 0 0.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.866 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.866 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.866 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.866 * [taylor]: Taking taylor expansion of 2 in n 0.866 * [backup-simplify]: Simplify 2 into 2 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.867 * [taylor]: Taking taylor expansion of (pow n 2) 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 0) (+ (* 0 0) (* 0 1))) into 0 0.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.869 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.869 * [backup-simplify]: Simplify (- 0) into 0 0.869 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.871 * [backup-simplify]: Simplify (- 0) into 0 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.872 * [backup-simplify]: Simplify (+ 0 0) into 0 0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.872 * [backup-simplify]: Simplify (- 0) into 0 0.872 * [backup-simplify]: Simplify (+ 0 0) into 0 0.873 * [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))) 0.874 * [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)))) 0.874 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.874 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.874 * [taylor]: Taking taylor expansion of 2 in n 0.874 * [backup-simplify]: Simplify 2 into 2 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.874 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.874 * [taylor]: Taking taylor expansion of n in n 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [backup-simplify]: Simplify (* 1 1) into 1 0.875 * [backup-simplify]: Simplify (* 1 1) into 1 0.875 * [backup-simplify]: Simplify (/ 1 1) into 1 0.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.880 * [backup-simplify]: Simplify (- 0) into 0 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify -1 into -1 0.880 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.880 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.880 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.880 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.880 * [taylor]: Taking taylor expansion of f in n 0.880 * [backup-simplify]: Simplify f into f 0.880 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.880 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.880 * [taylor]: Taking taylor expansion of n in n 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (/ 1 1) into 1 0.880 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.880 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.880 * [taylor]: Taking taylor expansion of n in n 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.881 * [backup-simplify]: Simplify (/ 1 1) into 1 0.881 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.881 * [taylor]: Taking taylor expansion of f in n 0.881 * [backup-simplify]: Simplify f into f 0.881 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.881 * [backup-simplify]: Simplify (+ 0 1) into 1 0.881 * [backup-simplify]: Simplify (+ 1 0) into 1 0.881 * [backup-simplify]: Simplify (/ 1 1) into 1 0.881 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.881 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.881 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.881 * [taylor]: Taking taylor expansion of f in f 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 1 into 1 0.882 * [backup-simplify]: Simplify (/ 1 1) into 1 0.882 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.882 * [taylor]: Taking taylor expansion of n in f 0.882 * [backup-simplify]: Simplify n into n 0.882 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.882 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.882 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.882 * [taylor]: Taking taylor expansion of n in f 0.882 * [backup-simplify]: Simplify n into n 0.882 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.882 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.882 * [taylor]: Taking taylor expansion of f in f 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.882 * [backup-simplify]: Simplify (/ 1 1) into 1 0.882 * [backup-simplify]: Simplify (+ 1 0) into 1 0.883 * [backup-simplify]: Simplify (- 1) into -1 0.883 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.883 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.883 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.883 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.883 * [taylor]: Taking taylor expansion of f in f 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.883 * [backup-simplify]: Simplify (/ 1 1) into 1 0.883 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.883 * [taylor]: Taking taylor expansion of n in f 0.883 * [backup-simplify]: Simplify n into n 0.884 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.884 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.884 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.884 * [taylor]: Taking taylor expansion of n in f 0.884 * [backup-simplify]: Simplify n into n 0.884 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.884 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.884 * [taylor]: Taking taylor expansion of f in f 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 0) into 1 0.884 * [backup-simplify]: Simplify (- 1) into -1 0.885 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.885 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.885 * [taylor]: Taking taylor expansion of -1 in n 0.885 * [backup-simplify]: Simplify -1 into -1 0.885 * [backup-simplify]: Simplify -1 into -1 0.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.885 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.886 * [backup-simplify]: Simplify (- 0) into 0 0.886 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.886 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.886 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.886 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.886 * [taylor]: Taking taylor expansion of 2 in n 0.886 * [backup-simplify]: Simplify 2 into 2 0.886 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.886 * [taylor]: Taking taylor expansion of n in n 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.887 * [backup-simplify]: Simplify (/ 1 1) into 1 0.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.888 * [backup-simplify]: Simplify (- 0) into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.888 * [backup-simplify]: Simplify (+ 0 0) into 0 0.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (- 0) into 0 0.889 * [backup-simplify]: Simplify (+ 0 0) into 0 0.890 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.890 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.890 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.890 * [taylor]: Taking taylor expansion of 2 in n 0.890 * [backup-simplify]: Simplify 2 into 2 0.890 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.890 * [taylor]: Taking taylor expansion of (pow n 2) 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 0.891 * [backup-simplify]: Simplify (/ 1 1) into 1 0.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.893 * [backup-simplify]: Simplify (- 0) into 0 0.893 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.894 * [backup-simplify]: Simplify (- 0) into 0 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.895 * [backup-simplify]: Simplify (+ 0 0) into 0 0.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (- 0) into 0 0.896 * [backup-simplify]: Simplify (+ 0 0) into 0 0.897 * [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)))) 0.897 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.897 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) 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 (pow n 3)) in n 0.897 * [taylor]: Taking taylor expansion of (pow n 3) 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 0.898 * [backup-simplify]: Simplify (* 1 1) into 1 0.898 * [backup-simplify]: Simplify (* 1 1) into 1 0.898 * [backup-simplify]: Simplify (/ 1 1) into 1 0.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (- 0) into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify -1 into -1 0.903 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.903 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (+ f n)) (- f n)))) into (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) 0.903 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 0.903 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in n 0.903 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 0.903 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in n 0.903 * [taylor]: Taking taylor expansion of 1 in n 0.903 * [backup-simplify]: Simplify 1 into 1 0.903 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 0.903 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.903 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 0.903 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.903 * [taylor]: Taking taylor expansion of -1 in n 0.904 * [backup-simplify]: Simplify -1 into -1 0.904 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.904 * [taylor]: Taking taylor expansion of (+ n f) in n 0.904 * [taylor]: Taking taylor expansion of n in n 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [taylor]: Taking taylor expansion of f in n 0.904 * [backup-simplify]: Simplify f into f 0.904 * [taylor]: Taking taylor expansion of (- f n) in n 0.904 * [taylor]: Taking taylor expansion of f in n 0.904 * [backup-simplify]: Simplify f into f 0.904 * [taylor]: Taking taylor expansion of n in n 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (+ 0 f) into f 0.904 * [backup-simplify]: Simplify (- 0) into 0 0.904 * [backup-simplify]: Simplify (+ f 0) into f 0.904 * [backup-simplify]: Simplify (/ f f) into 1 0.904 * [backup-simplify]: Simplify (* -1 1) into -1 0.904 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.904 * [taylor]: Taking taylor expansion of 1 in n 0.905 * [backup-simplify]: Simplify 1 into 1 0.905 * [backup-simplify]: Simplify (- 1) into -1 0.905 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.906 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 0.907 * [backup-simplify]: Simplify (log (exp -1)) into -1 0.907 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.907 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 0.907 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.907 * [taylor]: Taking taylor expansion of 1 in f 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.907 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.907 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.907 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.907 * [taylor]: Taking taylor expansion of -1 in f 0.907 * [backup-simplify]: Simplify -1 into -1 0.907 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.907 * [taylor]: Taking taylor expansion of (+ n f) in f 0.907 * [taylor]: Taking taylor expansion of n in f 0.907 * [backup-simplify]: Simplify n into n 0.907 * [taylor]: Taking taylor expansion of f in f 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [taylor]: Taking taylor expansion of (- f n) in f 0.907 * [taylor]: Taking taylor expansion of f in f 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [taylor]: Taking taylor expansion of n in f 0.907 * [backup-simplify]: Simplify n into n 0.907 * [backup-simplify]: Simplify (+ n 0) into n 0.907 * [backup-simplify]: Simplify (- n) into (- n) 0.907 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.907 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.907 * [backup-simplify]: Simplify (* -1 -1) into 1 0.907 * [backup-simplify]: Simplify (exp 1) into E 0.907 * [taylor]: Taking taylor expansion of 1 in f 0.907 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (- 1) into -1 0.908 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 0.909 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 0.909 * [backup-simplify]: Simplify (log E) into 1 0.909 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.909 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 0.909 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.909 * [taylor]: Taking taylor expansion of 1 in f 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.909 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.909 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.909 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.909 * [taylor]: Taking taylor expansion of -1 in f 0.909 * [backup-simplify]: Simplify -1 into -1 0.909 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.909 * [taylor]: Taking taylor expansion of (+ n f) in f 0.909 * [taylor]: Taking taylor expansion of n in f 0.909 * [backup-simplify]: Simplify n into n 0.909 * [taylor]: Taking taylor expansion of f in f 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [taylor]: Taking taylor expansion of (- f n) in f 0.909 * [taylor]: Taking taylor expansion of f in f 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [taylor]: Taking taylor expansion of n in f 0.909 * [backup-simplify]: Simplify n into n 0.909 * [backup-simplify]: Simplify (+ n 0) into n 0.909 * [backup-simplify]: Simplify (- n) into (- n) 0.909 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.909 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.909 * [backup-simplify]: Simplify (* -1 -1) into 1 0.909 * [backup-simplify]: Simplify (exp 1) into E 0.909 * [taylor]: Taking taylor expansion of 1 in f 0.909 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (- 1) into -1 0.910 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 0.910 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 0.910 * [backup-simplify]: Simplify (log E) into 1 0.911 * [taylor]: Taking taylor expansion of 1 in n 0.911 * [backup-simplify]: Simplify 1 into 1 0.911 * [backup-simplify]: Simplify 1 into 1 0.911 * [backup-simplify]: Simplify (+ 0 1) into 1 0.911 * [backup-simplify]: Simplify (- 0) into 0 0.912 * [backup-simplify]: Simplify (+ 1 0) into 1 0.912 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.912 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.912 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 0.912 * [backup-simplify]: Simplify (- 0) into 0 0.912 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 0.913 * [backup-simplify]: Simplify (+ 0 (* 2 (/ E n))) into (* 2 (/ E n)) 0.913 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ E n))) 1)) (pow E 1)))) 1) into (/ 2 n) 0.913 * [taylor]: Taking taylor expansion of (/ 2 n) in n 0.913 * [taylor]: Taking taylor expansion of 2 in n 0.913 * [backup-simplify]: Simplify 2 into 2 0.913 * [taylor]: Taking taylor expansion of n in n 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 1 into 1 0.913 * [backup-simplify]: Simplify (/ 2 1) into 2 0.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (- 0) into 0 0.915 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.916 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.916 * [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))) 0.916 * [backup-simplify]: Simplify (- 0) into 0 0.916 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 0.916 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 0.917 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ E n))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 0.917 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 0.917 * [taylor]: Taking taylor expansion of 2 in n 0.917 * [backup-simplify]: Simplify 2 into 2 0.917 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.917 * [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 * [backup-simplify]: Simplify (/ 2 1) into 2 0.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify (+ 0 0) into 0 0.921 * [backup-simplify]: Simplify (- 0) into 0 0.921 * [backup-simplify]: Simplify (+ 0 0) into 0 0.921 * [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)))) 0.922 * [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))) 0.922 * [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))) 0.923 * [backup-simplify]: Simplify (- 0) into 0 0.923 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 0.923 * [backup-simplify]: Simplify (+ 0 (* 22/3 (/ E (pow n 3)))) into (* 22/3 (/ E (pow n 3))) 0.927 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ E n))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ E n))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 22/3 (/ E (pow n 3)))) 1)) (pow E 1)))) 6) into (/ 2 (pow n 3)) 0.927 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 0.928 * [taylor]: Taking taylor expansion of 2 in n 0.928 * [backup-simplify]: Simplify 2 into 2 0.928 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.928 * [taylor]: Taking taylor expansion of n in n 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 1 into 1 0.928 * [backup-simplify]: Simplify (* 1 1) into 1 0.928 * [backup-simplify]: Simplify (* 1 1) into 1 0.928 * [backup-simplify]: Simplify (/ 2 1) into 2 0.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.933 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 0.933 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 0.933 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 0.933 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 0.933 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 0.933 * [taylor]: Taking taylor expansion of 1 in n 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.933 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.933 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.933 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.933 * [taylor]: Taking taylor expansion of -1 in n 0.933 * [backup-simplify]: Simplify -1 into -1 0.933 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.933 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.933 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.933 * [taylor]: Taking taylor expansion of f in n 0.933 * [backup-simplify]: Simplify f into f 0.933 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.933 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.933 * [taylor]: Taking taylor expansion of n in n 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [backup-simplify]: Simplify (/ 1 1) into 1 0.933 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.933 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.933 * [taylor]: Taking taylor expansion of f in n 0.933 * [backup-simplify]: Simplify f into f 0.934 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.934 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.934 * [taylor]: Taking taylor expansion of n in n 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [backup-simplify]: Simplify (/ 1 1) into 1 0.934 * [backup-simplify]: Simplify (+ 0 1) into 1 0.934 * [backup-simplify]: Simplify (- 1) into -1 0.934 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.935 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.935 * [backup-simplify]: Simplify (* -1 -1) into 1 0.935 * [backup-simplify]: Simplify (exp 1) into E 0.935 * [taylor]: Taking taylor expansion of 1 in n 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (- 1) into -1 0.935 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 0.936 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 0.936 * [backup-simplify]: Simplify (log E) into 1 0.936 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.936 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 0.936 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.936 * [taylor]: Taking taylor expansion of 1 in f 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.936 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.936 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.936 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.936 * [taylor]: Taking taylor expansion of -1 in f 0.936 * [backup-simplify]: Simplify -1 into -1 0.936 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.936 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.936 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.936 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.937 * [taylor]: Taking taylor expansion of n in f 0.937 * [backup-simplify]: Simplify n into n 0.937 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.937 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.937 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.937 * [taylor]: Taking taylor expansion of f in f 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (/ 1 1) into 1 0.937 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.937 * [taylor]: Taking taylor expansion of n in f 0.937 * [backup-simplify]: Simplify n into n 0.937 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.937 * [backup-simplify]: Simplify (+ 1 0) into 1 0.938 * [backup-simplify]: Simplify (+ 1 0) into 1 0.938 * [backup-simplify]: Simplify (/ 1 1) into 1 0.938 * [backup-simplify]: Simplify (* -1 1) into -1 0.938 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.938 * [taylor]: Taking taylor expansion of 1 in f 0.938 * [backup-simplify]: Simplify 1 into 1 0.939 * [backup-simplify]: Simplify (- 1) into -1 0.939 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.940 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 0.940 * [backup-simplify]: Simplify (log (exp -1)) into -1 0.940 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.941 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 0.941 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.941 * [taylor]: Taking taylor expansion of 1 in f 0.941 * [backup-simplify]: Simplify 1 into 1 0.941 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.941 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.941 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.941 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.941 * [taylor]: Taking taylor expansion of -1 in f 0.941 * [backup-simplify]: Simplify -1 into -1 0.941 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.941 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.941 * [taylor]: Taking taylor expansion of f in f 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 1 into 1 0.941 * [backup-simplify]: Simplify (/ 1 1) into 1 0.941 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.941 * [taylor]: Taking taylor expansion of n in f 0.941 * [backup-simplify]: Simplify n into n 0.941 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.941 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.941 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.941 * [taylor]: Taking taylor expansion of f in f 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 1 into 1 0.941 * [backup-simplify]: Simplify (/ 1 1) into 1 0.941 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.941 * [taylor]: Taking taylor expansion of n in f 0.941 * [backup-simplify]: Simplify n into n 0.942 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.942 * [backup-simplify]: Simplify (+ 1 0) into 1 0.942 * [backup-simplify]: Simplify (+ 1 0) into 1 0.942 * [backup-simplify]: Simplify (/ 1 1) into 1 0.942 * [backup-simplify]: Simplify (* -1 1) into -1 0.943 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.943 * [taylor]: Taking taylor expansion of 1 in f 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (- 1) into -1 0.943 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.944 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 0.945 * [backup-simplify]: Simplify (log (exp -1)) into -1 0.945 * [taylor]: Taking taylor expansion of -1 in n 0.945 * [backup-simplify]: Simplify -1 into -1 0.945 * [backup-simplify]: Simplify -1 into -1 0.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.945 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.946 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.946 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.946 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.947 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 0.947 * [backup-simplify]: Simplify (- 0) into 0 0.947 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 0.948 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 0.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 0.949 * [taylor]: Taking taylor expansion of (/ -2 n) in n 0.949 * [taylor]: Taking taylor expansion of -2 in n 0.949 * [backup-simplify]: Simplify -2 into -2 0.949 * [taylor]: Taking taylor expansion of n in n 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (/ -2 1) into -2 0.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.950 * [backup-simplify]: Simplify (+ 0 0) into 0 0.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.951 * [backup-simplify]: Simplify (- 0) into 0 0.951 * [backup-simplify]: Simplify (+ 0 0) into 0 0.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.952 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.953 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 0.953 * [backup-simplify]: Simplify (- 0) into 0 0.953 * [backup-simplify]: Simplify (+ 0 0) into 0 0.954 * [backup-simplify]: Simplify (+ 0 0) into 0 0.955 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 0.955 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 0.955 * [taylor]: Taking taylor expansion of -2 in n 0.955 * [backup-simplify]: Simplify -2 into -2 0.955 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.955 * [taylor]: Taking taylor expansion of n in n 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 1 into 1 0.956 * [backup-simplify]: Simplify (* 1 1) into 1 0.956 * [backup-simplify]: Simplify (/ -2 1) into -2 0.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 0.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.959 * [backup-simplify]: Simplify (+ 0 0) into 0 0.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.960 * [backup-simplify]: Simplify (- 0) into 0 0.960 * [backup-simplify]: Simplify (+ 0 0) into 0 0.961 * [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))) 0.961 * [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)))) 0.962 * [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))) 0.963 * [backup-simplify]: Simplify (- 0) into 0 0.963 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 0.963 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 0.966 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (exp -1) 1)))) 6) into (/ -2 (pow n 3)) 0.966 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 0.966 * [taylor]: Taking taylor expansion of -2 in n 0.966 * [backup-simplify]: Simplify -2 into -2 0.966 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.966 * [taylor]: Taking taylor expansion of n in n 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 1 into 1 0.967 * [backup-simplify]: Simplify (* 1 1) into 1 0.967 * [backup-simplify]: Simplify (* 1 1) into 1 0.967 * [backup-simplify]: Simplify (/ -2 1) into -2 0.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 0.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify -1 into -1 0.971 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 0.971 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 0.972 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 0.972 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 0.972 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 0.972 * [taylor]: Taking taylor expansion of 1 in n 0.972 * [backup-simplify]: Simplify 1 into 1 0.972 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.972 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.972 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.972 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.972 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.972 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.972 * [taylor]: Taking taylor expansion of f in n 0.972 * [backup-simplify]: Simplify f into f 0.972 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.972 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.972 * [taylor]: Taking taylor expansion of n in n 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 1 into 1 0.972 * [backup-simplify]: Simplify (/ 1 1) into 1 0.972 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.972 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.972 * [taylor]: Taking taylor expansion of n in n 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 1 into 1 0.972 * [backup-simplify]: Simplify (/ 1 1) into 1 0.972 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.972 * [taylor]: Taking taylor expansion of f in n 0.973 * [backup-simplify]: Simplify f into f 0.973 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.973 * [backup-simplify]: Simplify (+ 0 1) into 1 0.973 * [backup-simplify]: Simplify (+ 1 0) into 1 0.973 * [backup-simplify]: Simplify (/ 1 1) into 1 0.973 * [backup-simplify]: Simplify (exp 1) into E 0.973 * [taylor]: Taking taylor expansion of 1 in n 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify (- 1) into -1 0.974 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 0.974 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 0.974 * [backup-simplify]: Simplify (log E) into 1 0.974 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 0.974 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 0.974 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 0.974 * [taylor]: Taking taylor expansion of 1 in f 0.975 * [backup-simplify]: Simplify 1 into 1 0.975 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.975 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.975 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.975 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.975 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.975 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.975 * [taylor]: Taking taylor expansion of f in f 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 1 into 1 0.975 * [backup-simplify]: Simplify (/ 1 1) into 1 0.975 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.975 * [taylor]: Taking taylor expansion of n in f 0.975 * [backup-simplify]: Simplify n into n 0.975 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.975 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.975 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.975 * [taylor]: Taking taylor expansion of n in f 0.975 * [backup-simplify]: Simplify n into n 0.975 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.975 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.975 * [taylor]: Taking taylor expansion of f in f 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 1 into 1 0.975 * [backup-simplify]: Simplify (/ 1 1) into 1 0.976 * [backup-simplify]: Simplify (+ 1 0) into 1 0.976 * [backup-simplify]: Simplify (- 1) into -1 0.976 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.976 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.977 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.977 * [taylor]: Taking taylor expansion of 1 in f 0.977 * [backup-simplify]: Simplify 1 into 1 0.977 * [backup-simplify]: Simplify (- 1) into -1 0.977 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.978 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 0.979 * [backup-simplify]: Simplify (log (exp -1)) into -1 0.979 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 0.979 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 0.979 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 0.979 * [taylor]: Taking taylor expansion of 1 in f 0.979 * [backup-simplify]: Simplify 1 into 1 0.979 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.979 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.979 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.979 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.979 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.979 * [taylor]: Taking taylor expansion of f in f 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.979 * [backup-simplify]: Simplify (/ 1 1) into 1 0.979 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.979 * [taylor]: Taking taylor expansion of n in f 0.979 * [backup-simplify]: Simplify n into n 0.979 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.979 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.979 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.979 * [taylor]: Taking taylor expansion of n in f 0.979 * [backup-simplify]: Simplify n into n 0.979 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.979 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.979 * [taylor]: Taking taylor expansion of f in f 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.980 * [backup-simplify]: Simplify (/ 1 1) into 1 0.980 * [backup-simplify]: Simplify (+ 1 0) into 1 0.980 * [backup-simplify]: Simplify (- 1) into -1 0.980 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.980 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.981 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.981 * [taylor]: Taking taylor expansion of 1 in f 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (- 1) into -1 0.981 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.982 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 0.983 * [backup-simplify]: Simplify (log (exp -1)) into -1 0.983 * [taylor]: Taking taylor expansion of -1 in n 0.983 * [backup-simplify]: Simplify -1 into -1 0.983 * [backup-simplify]: Simplify -1 into -1 0.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.983 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.984 * [backup-simplify]: Simplify (- 0) into 0 0.984 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.984 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.984 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 0.985 * [backup-simplify]: Simplify (- 0) into 0 0.985 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 0.985 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 0.986 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 0.986 * [taylor]: Taking taylor expansion of (/ -2 n) in n 0.986 * [taylor]: Taking taylor expansion of -2 in n 0.986 * [backup-simplify]: Simplify -2 into -2 0.986 * [taylor]: Taking taylor expansion of n in n 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.987 * [backup-simplify]: Simplify (/ -2 1) into -2 0.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.988 * [backup-simplify]: Simplify (+ 0 0) into 0 0.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.989 * [backup-simplify]: Simplify (- 0) into 0 0.989 * [backup-simplify]: Simplify (+ 0 0) into 0 0.990 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.990 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 0.990 * [backup-simplify]: Simplify (- 0) into 0 0.991 * [backup-simplify]: Simplify (+ 0 0) into 0 0.991 * [backup-simplify]: Simplify (+ 0 0) into 0 0.992 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 0.992 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 0.992 * [taylor]: Taking taylor expansion of -2 in n 0.992 * [backup-simplify]: Simplify -2 into -2 0.992 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.992 * [taylor]: Taking taylor expansion of n in n 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify 1 into 1 0.993 * [backup-simplify]: Simplify (* 1 1) into 1 0.993 * [backup-simplify]: Simplify (/ -2 1) into -2 0.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.996 * [backup-simplify]: Simplify (+ 0 0) into 0 0.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.997 * [backup-simplify]: Simplify (- 0) into 0 0.997 * [backup-simplify]: Simplify (+ 0 0) into 0 0.998 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.999 * [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))) 0.999 * [backup-simplify]: Simplify (- 0) into 0 1.000 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 1.000 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 1.003 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (exp -1) 1)))) 6) into (/ -2 (pow n 3)) 1.003 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 1.003 * [taylor]: Taking taylor expansion of -2 in n 1.003 * [backup-simplify]: Simplify -2 into -2 1.003 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.003 * [taylor]: Taking taylor expansion of n in n 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 1 into 1 1.004 * [backup-simplify]: Simplify (* 1 1) into 1 1.004 * [backup-simplify]: Simplify (* 1 1) into 1 1.004 * [backup-simplify]: Simplify (/ -2 1) into -2 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify -1 into -1 1.008 * * * [progress]: simplifying candidates 1.010 * [simplify]: Simplifying: (exp (/ (- (+ f n)) (- f n))) (expm1 (expm1 (/ (- (+ f n)) (- f n)))) (log1p (expm1 (/ (- (+ f n)) (- f n)))) (log (expm1 (/ (- (+ f n)) (- f n)))) (exp (expm1 (/ (- (+ f n)) (- f n)))) (* (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (cbrt (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (* (* (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 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 (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log1p (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log (log1p (expm1 (/ (- (+ f n)) (- f n))))) (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))) (* (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n)))))) (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (* (* (log1p (expm1 (/ (- (+ f n)) (- f n)))) (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log1p (expm1 (/ (- (+ f n)) (- f n))))) (sqrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (sqrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (- E 1) (- (exp -1) 1) (- (exp -1) 1) 1 -1 -1 1 -1 -1 1.011 * [simplify]: Sending expressions to egg_math: (exp (/ (- (+ h0 h1)) (- h0 h1))) (expm1 (expm1 (/ (- (+ h0 h1)) (- h0 h1)))) (log1p (expm1 (/ (- (+ h0 h1)) (- h0 h1)))) (log (expm1 (/ (- (+ h0 h1)) (- h0 h1)))) (exp (expm1 (/ (- (+ h0 h1)) (- h0 h1)))) (* (cbrt (expm1 (/ (- (+ h0 h1)) (- h0 h1)))) (cbrt (expm1 (/ (- (+ h0 h1)) (- h0 h1))))) (cbrt (expm1 (/ (- (+ h0 h1)) (- h0 h1)))) (* (* (expm1 (/ (- (+ h0 h1)) (- h0 h1))) (expm1 (/ (- (+ h0 h1)) (- h0 h1)))) (expm1 (/ (- (+ h0 h1)) (- h0 h1)))) (sqrt (expm1 (/ (- (+ h0 h1)) (- h0 h1)))) (sqrt (expm1 (/ (- (+ h0 h1)) (- h0 h1)))) (expm1 (/ (- (+ h0 h1)) (- h0 h1))) (log1p (/ (- (+ h0 h1)) (- h0 h1))) (- (log (- (+ h0 h1))) (log (- h0 h1))) (log (/ (- (+ h0 h1)) (- h0 h1))) (exp (/ (- (+ h0 h1)) (- h0 h1))) (/ (* (* (- (+ h0 h1)) (- (+ h0 h1))) (- (+ h0 h1))) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (cbrt (/ (- (+ h0 h1)) (- h0 h1))) (cbrt (/ (- (+ h0 h1)) (- h0 h1)))) (cbrt (/ (- (+ h0 h1)) (- h0 h1))) (* (* (/ (- (+ h0 h1)) (- h0 h1)) (/ (- (+ h0 h1)) (- h0 h1))) (/ (- (+ h0 h1)) (- h0 h1))) (sqrt (/ (- (+ h0 h1)) (- h0 h1))) (sqrt (/ (- (+ h0 h1)) (- h0 h1))) (- (- (+ h0 h1))) (- (- h0 h1)) (/ 0 (- h0 h1)) (/ (+ h0 h1) (- h0 h1)) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (cbrt (- (+ h0 h1))) (cbrt (- h0 h1))) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) (sqrt (- h0 h1))) (/ (cbrt (- (+ h0 h1))) (sqrt (- h0 h1))) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) 1) (/ (cbrt (- (+ h0 h1))) (- h0 h1)) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) (+ (sqrt h0) (sqrt h1))) (/ (cbrt (- (+ h0 h1))) (- (sqrt h0) (sqrt h1))) (/ (* (cbrt (- (+ h0 h1))) (cbrt (- (+ h0 h1)))) 1) (/ (cbrt (- (+ h0 h1))) (- h0 h1)) (/ (sqrt (- (+ h0 h1))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (sqrt (- (+ h0 h1))) (cbrt (- h0 h1))) (/ (sqrt (- (+ h0 h1))) (sqrt (- h0 h1))) (/ (sqrt (- (+ h0 h1))) (sqrt (- h0 h1))) (/ (sqrt (- (+ h0 h1))) 1) (/ (sqrt (- (+ h0 h1))) (- h0 h1)) (/ (sqrt (- (+ h0 h1))) (+ (sqrt h0) (sqrt h1))) (/ (sqrt (- (+ h0 h1))) (- (sqrt h0) (sqrt h1))) (/ (sqrt (- (+ h0 h1))) 1) (/ (sqrt (- (+ h0 h1))) (- h0 h1)) (/ 1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (+ h0 h1)) (cbrt (- h0 h1))) (/ 1 (sqrt (- h0 h1))) (/ (- (+ h0 h1)) (sqrt (- h0 h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (+ (sqrt h0) (sqrt h1))) (/ (- (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ -1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (+ h0 h1) (cbrt (- h0 h1))) (/ -1 (sqrt (- h0 h1))) (/ (+ h0 h1) (sqrt (- h0 h1))) (/ -1 1) (/ (+ h0 h1) (- h0 h1)) (/ -1 (+ (sqrt h0) (sqrt h1))) (/ (+ h0 h1) (- (sqrt h0) (sqrt h1))) (/ -1 1) (/ (+ h0 h1) (- h0 h1)) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (cbrt (+ h0 h1)) (cbrt (- h0 h1))) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (- h0 h1))) (/ (cbrt (+ h0 h1)) (sqrt (- h0 h1))) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) 1) (/ (cbrt (+ h0 h1)) (- h0 h1)) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (+ (sqrt h0) (sqrt h1))) (/ (cbrt (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ (- (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) 1) (/ (cbrt (+ h0 h1)) (- h0 h1)) (/ (- (sqrt (+ h0 h1))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (sqrt (+ h0 h1)) (cbrt (- h0 h1))) (/ (- (sqrt (+ h0 h1))) (sqrt (- h0 h1))) (/ (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (/ (- (sqrt (+ h0 h1))) 1) (/ (sqrt (+ h0 h1)) (- h0 h1)) (/ (- (sqrt (+ h0 h1))) (+ (sqrt h0) (sqrt h1))) (/ (sqrt (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ (- (sqrt (+ h0 h1))) 1) (/ (sqrt (+ h0 h1)) (- h0 h1)) (/ (- 1) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (+ h0 h1) (cbrt (- h0 h1))) (/ (- 1) (sqrt (- h0 h1))) (/ (+ h0 h1) (sqrt (- h0 h1))) (/ (- 1) 1) (/ (+ h0 h1) (- h0 h1)) (/ (- 1) (+ (sqrt h0) (sqrt h1))) (/ (+ h0 h1) (- (sqrt h0) (sqrt h1))) (/ (- 1) 1) (/ (+ h0 h1) (- h0 h1)) (/ (- 1) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (+ h0 h1) (cbrt (- h0 h1))) (/ (- 1) (sqrt (- h0 h1))) (/ (+ h0 h1) (sqrt (- h0 h1))) (/ (- 1) 1) (/ (+ h0 h1) (- h0 h1)) (/ (- 1) (+ (sqrt h0) (sqrt h1))) (/ (+ h0 h1) (- (sqrt h0) (sqrt h1))) (/ (- 1) 1) (/ (+ h0 h1) (- h0 h1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (cbrt (+ h0 h1))) (cbrt (- h0 h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt (- h0 h1))) (/ (- (cbrt (+ h0 h1))) (sqrt (- h0 h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (- (cbrt (+ h0 h1))) (- h0 h1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (+ (sqrt h0) (sqrt h1))) (/ (- (cbrt (+ h0 h1))) (- (sqrt h0) (sqrt h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (- (cbrt (+ h0 h1))) (- h0 h1)) (/ (sqrt (+ h0 h1)) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (sqrt (+ h0 h1))) (cbrt (- h0 h1))) (/ (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (/ (- (sqrt (+ h0 h1))) (sqrt (- h0 h1))) (/ (sqrt (+ h0 h1)) 1) (/ (- (sqrt (+ h0 h1))) (- h0 h1)) (/ (sqrt (+ h0 h1)) (+ (sqrt h0) (sqrt h1))) (/ (- (sqrt (+ h0 h1))) (- (sqrt h0) (sqrt h1))) (/ (sqrt (+ h0 h1)) 1) (/ (- (sqrt (+ h0 h1))) (- h0 h1)) (/ 1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (+ h0 h1)) (cbrt (- h0 h1))) (/ 1 (sqrt (- h0 h1))) (/ (- (+ h0 h1)) (sqrt (- h0 h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (+ (sqrt h0) (sqrt h1))) (/ (- (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (+ h0 h1)) (cbrt (- h0 h1))) (/ 1 (sqrt (- h0 h1))) (/ (- (+ h0 h1)) (sqrt (- h0 h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (+ (sqrt h0) (sqrt h1))) (/ (- (+ h0 h1)) (- (sqrt h0) (sqrt h1))) (/ 1 1) (/ (- (+ h0 h1)) (- h0 h1)) (/ 1 (- h0 h1)) (/ (- h0 h1) (- (+ h0 h1))) (/ (+ h0 h1) (- h0 h1)) (/ (- (+ h0 h1)) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (+ h0 h1)) (sqrt (- h0 h1))) (/ (- (+ h0 h1)) 1) (/ (- (+ h0 h1)) (+ (sqrt h0) (sqrt h1))) (/ (- (+ h0 h1)) 1) (/ (- h0 h1) (cbrt (- (+ h0 h1)))) (/ (- h0 h1) (sqrt (- (+ h0 h1)))) (/ (- h0 h1) (- (+ h0 h1))) (/ (- h0 h1) (+ h0 h1)) (/ (- h0 h1) (cbrt (+ h0 h1))) (/ (- h0 h1) (sqrt (+ h0 h1))) (/ (- h0 h1) (+ h0 h1)) (/ (- h0 h1) (+ h0 h1)) (/ (- h0 h1) (- (cbrt (+ h0 h1)))) (/ (- h0 h1) (- (sqrt (+ h0 h1)))) (/ (- h0 h1) (- (+ h0 h1))) (/ (- h0 h1) (- (+ h0 h1))) (/ (- (+ h0 h1)) (- (pow h0 3) (pow h1 3))) (/ (- (+ h0 h1)) (- (* h0 h0) (* h1 h1))) (* (- h0 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (- h0 h1) (- h0 h1)) (+ 1 (expm1 (/ (- (+ h0 h1)) (- h0 h1)))) (expm1 (log1p (expm1 (/ (- (+ h0 h1)) (- h0 h1))))) (log1p (log1p (expm1 (/ (- (+ h0 h1)) (- h0 h1))))) (log (log1p (expm1 (/ (- (+ h0 h1)) (- h0 h1))))) (exp (log1p (expm1 (/ (- (+ h0 h1)) (- h0 h1))))) (* (cbrt (log1p (expm1 (/ (- (+ h0 h1)) (- h0 h1))))) (cbrt (log1p (expm1 (/ (- (+ h0 h1)) (- h0 h1)))))) (cbrt (log1p (expm1 (/ (- (+ h0 h1)) (- h0 h1))))) (* (* (log1p (expm1 (/ (- (+ h0 h1)) (- h0 h1)))) (log1p (expm1 (/ (- (+ h0 h1)) (- h0 h1))))) (log1p (expm1 (/ (- (+ h0 h1)) (- h0 h1))))) (sqrt (log1p (expm1 (/ (- (+ h0 h1)) (- h0 h1))))) (sqrt (log1p (expm1 (/ (- (+ h0 h1)) (- h0 h1))))) (- E 1) (- (exp -1) 1) (- (exp -1) 1) 1 -1 -1 1 -1 -1 1.018 * * [simplify]: iteration 0 : 323 enodes (cost 918 ) 1.022 * * [simplify]: iteration 1 : 971 enodes (cost 882 ) 1.035 * * [simplify]: iteration 2 : 3076 enodes (cost 867 ) 1.072 * * [simplify]: iteration 3 : 5001 enodes (cost 867 ) 1.077 * * * [progress]: adding candidates to table 1.297 * * [progress]: iteration 3 / 4 1.297 * * * [progress]: picking best candidate 1.299 * * * * [pick]: Picked # 1.299 * * * [progress]: localizing error 1.309 * * * [progress]: generating rewritten candidates 1.309 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.310 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 1.343 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.373 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.609 * * * [progress]: generating series expansions 1.609 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.610 * [backup-simplify]: Simplify (expm1 (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))))) into (expm1 (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2)) 1.610 * [approximate]: Taking taylor expansion of (expm1 (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2)) in (f n) around 0 1.610 * [taylor]: Taking taylor expansion of (expm1 (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2)) in n 1.610 * [taylor]: Rewrote expression to (- (exp (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2)) 1) 1.610 * [taylor]: Taking taylor expansion of (exp (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2)) in n 1.610 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in n 1.610 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in n 1.610 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.610 * [taylor]: Taking taylor expansion of -1 in n 1.610 * [backup-simplify]: Simplify -1 into -1 1.610 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.610 * [taylor]: Taking taylor expansion of (+ n f) in n 1.610 * [taylor]: Taking taylor expansion of n in n 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [taylor]: Taking taylor expansion of f in n 1.610 * [backup-simplify]: Simplify f into f 1.610 * [taylor]: Taking taylor expansion of (- f n) in n 1.610 * [taylor]: Taking taylor expansion of f in n 1.610 * [backup-simplify]: Simplify f into f 1.610 * [taylor]: Taking taylor expansion of n in n 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [backup-simplify]: Simplify (+ 0 f) into f 1.611 * [backup-simplify]: Simplify (- 0) into 0 1.611 * [backup-simplify]: Simplify (+ f 0) into f 1.611 * [backup-simplify]: Simplify (/ f f) into 1 1.611 * [backup-simplify]: Simplify (* -1 1) into -1 1.611 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.612 * [backup-simplify]: Simplify (+ 1 0) into 1 1.619 * [backup-simplify]: Simplify (- 1) into -1 1.620 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.620 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 1.620 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 1.621 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 f))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) f)) 1.621 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 1.622 * [backup-simplify]: Simplify (exp (pow (sqrt -1) 2)) into (exp (pow (sqrt -1) 2)) 1.622 * [taylor]: Taking taylor expansion of 1 in n 1.622 * [backup-simplify]: Simplify 1 into 1 1.622 * [taylor]: Taking taylor expansion of (expm1 (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2)) in f 1.623 * [taylor]: Rewrote expression to (- (exp (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2)) 1) 1.623 * [taylor]: Taking taylor expansion of (exp (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2)) in f 1.623 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in f 1.623 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 1.623 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.623 * [taylor]: Taking taylor expansion of -1 in f 1.623 * [backup-simplify]: Simplify -1 into -1 1.623 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.623 * [taylor]: Taking taylor expansion of (+ n f) in f 1.623 * [taylor]: Taking taylor expansion of n in f 1.623 * [backup-simplify]: Simplify n into n 1.623 * [taylor]: Taking taylor expansion of f in f 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.623 * [taylor]: Taking taylor expansion of (- f n) in f 1.623 * [taylor]: Taking taylor expansion of f in f 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.623 * [taylor]: Taking taylor expansion of n in f 1.623 * [backup-simplify]: Simplify n into n 1.623 * [backup-simplify]: Simplify (+ n 0) into n 1.623 * [backup-simplify]: Simplify (- n) into (- n) 1.623 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.623 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.623 * [backup-simplify]: Simplify (* -1 -1) into 1 1.623 * [backup-simplify]: Simplify (sqrt 1) into 1 1.624 * [backup-simplify]: Simplify (+ 0 1) into 1 1.624 * [backup-simplify]: Simplify (- 0) into 0 1.624 * [backup-simplify]: Simplify (+ 1 0) into 1 1.624 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.625 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.625 * [backup-simplify]: Simplify (/ (* 2 (/ 1 n)) (* 2 (sqrt 1))) into (/ 1 n) 1.625 * [backup-simplify]: Simplify (* 1 1) into 1 1.625 * [backup-simplify]: Simplify (exp 1) into E 1.625 * [taylor]: Taking taylor expansion of 1 in f 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [taylor]: Taking taylor expansion of (expm1 (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2)) in f 1.625 * [taylor]: Rewrote expression to (- (exp (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2)) 1) 1.625 * [taylor]: Taking taylor expansion of (exp (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2)) in f 1.625 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in f 1.625 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 1.625 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.625 * [taylor]: Taking taylor expansion of -1 in f 1.625 * [backup-simplify]: Simplify -1 into -1 1.625 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.625 * [taylor]: Taking taylor expansion of (+ n f) in f 1.625 * [taylor]: Taking taylor expansion of n in f 1.625 * [backup-simplify]: Simplify n into n 1.625 * [taylor]: Taking taylor expansion of f in f 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [taylor]: Taking taylor expansion of (- f n) in f 1.626 * [taylor]: Taking taylor expansion of f in f 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 1 into 1 1.626 * [taylor]: Taking taylor expansion of n in f 1.626 * [backup-simplify]: Simplify n into n 1.626 * [backup-simplify]: Simplify (+ n 0) into n 1.626 * [backup-simplify]: Simplify (- n) into (- n) 1.626 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.626 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.626 * [backup-simplify]: Simplify (* -1 -1) into 1 1.626 * [backup-simplify]: Simplify (sqrt 1) into 1 1.626 * [backup-simplify]: Simplify (+ 0 1) into 1 1.627 * [backup-simplify]: Simplify (- 0) into 0 1.627 * [backup-simplify]: Simplify (+ 1 0) into 1 1.627 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.627 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.628 * [backup-simplify]: Simplify (/ (* 2 (/ 1 n)) (* 2 (sqrt 1))) into (/ 1 n) 1.628 * [backup-simplify]: Simplify (* 1 1) into 1 1.628 * [backup-simplify]: Simplify (exp 1) into E 1.628 * [taylor]: Taking taylor expansion of 1 in f 1.628 * [backup-simplify]: Simplify 1 into 1 1.628 * [backup-simplify]: Simplify (- 1) into -1 1.628 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 1.628 * [taylor]: Taking taylor expansion of (- E 1) in n 1.628 * [taylor]: Taking taylor expansion of E in n 1.629 * [backup-simplify]: Simplify E into E 1.629 * [taylor]: Taking taylor expansion of 1 in n 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [backup-simplify]: Simplify (- 1) into -1 1.629 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 1.629 * [backup-simplify]: Simplify (- E 1) into (- E 1) 1.629 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 1.630 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 1.630 * [backup-simplify]: Simplify (- 0) into 0 1.630 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 1.630 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 1.630 * [taylor]: Taking taylor expansion of 2 in n 1.630 * [backup-simplify]: Simplify 2 into 2 1.630 * [taylor]: Taking taylor expansion of (/ E n) in n 1.630 * [taylor]: Taking taylor expansion of E in n 1.630 * [backup-simplify]: Simplify E into E 1.630 * [taylor]: Taking taylor expansion of n in n 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [backup-simplify]: Simplify (/ E 1) into E 1.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify (- 0) into 0 1.632 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [backup-simplify]: Simplify (- 0) into 0 1.633 * [backup-simplify]: Simplify (+ 0 0) into 0 1.633 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.633 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.634 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow n 2))) (pow (/ 1 n) 2) (+)) (* 2 1)) into (/ 1/2 (pow n 2)) 1.634 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow n 2))) (+ (* (/ 1 n) (/ 1 n)) (* (/ 1/2 (pow n 2)) 1))) into (* 2 (/ 1 (pow n 2))) 1.635 * [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))) 1.635 * [backup-simplify]: Simplify (- 0) into 0 1.635 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 1.635 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 1.635 * [taylor]: Taking taylor expansion of 4 in n 1.635 * [backup-simplify]: Simplify 4 into 4 1.635 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 1.635 * [taylor]: Taking taylor expansion of E in n 1.635 * [backup-simplify]: Simplify E into E 1.635 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.635 * [taylor]: Taking taylor expansion of n in n 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.636 * [backup-simplify]: Simplify (* 1 1) into 1 1.636 * [backup-simplify]: Simplify (/ E 1) into E 1.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.638 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.639 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify (- 0) into 0 1.640 * [backup-simplify]: Simplify (+ 0 0) into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify (+ 0 0) into 0 1.640 * [backup-simplify]: Simplify (- 0) into 0 1.641 * [backup-simplify]: Simplify (+ 0 0) into 0 1.641 * [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)))) 1.641 * [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))) 1.642 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow n 3))) (+ (* 2 (* (/ 1 n) (/ 1/2 (pow n 2)))))) (* 2 1)) into (/ 1/2 (pow n 3)) 1.642 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow n 3))) (+ (* (/ 1 n) (/ 1/2 (pow n 2))) (+ (* (/ 1/2 (pow n 2)) (/ 1 n)) (* (/ 1/2 (pow n 3)) 1)))) into (* 2 (/ 1 (pow n 3))) 1.643 * [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))) 1.643 * [backup-simplify]: Simplify (- 0) into 0 1.643 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 1.643 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 1.643 * [taylor]: Taking taylor expansion of 22/3 in n 1.643 * [backup-simplify]: Simplify 22/3 into 22/3 1.643 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 1.643 * [taylor]: Taking taylor expansion of E in n 1.643 * [backup-simplify]: Simplify E into E 1.643 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.643 * [taylor]: Taking taylor expansion of n in n 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (* 1 1) into 1 1.644 * [backup-simplify]: Simplify (* 1 1) into 1 1.644 * [backup-simplify]: Simplify (/ E 1) into E 1.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.649 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify (- E 1) into (- E 1) 1.650 * [backup-simplify]: Simplify (expm1 (* (sqrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) (sqrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))))) into (expm1 (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2)) 1.650 * [approximate]: Taking taylor expansion of (expm1 (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2)) in (f n) around 0 1.650 * [taylor]: Taking taylor expansion of (expm1 (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2)) in n 1.650 * [taylor]: Rewrote expression to (- (exp (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2)) 1) 1.650 * [taylor]: Taking taylor expansion of (exp (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2)) in n 1.650 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in n 1.650 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.650 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.650 * [taylor]: Taking taylor expansion of -1 in n 1.650 * [backup-simplify]: Simplify -1 into -1 1.650 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.650 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.650 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.650 * [taylor]: Taking taylor expansion of f in n 1.650 * [backup-simplify]: Simplify f into f 1.650 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.650 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.650 * [taylor]: Taking taylor expansion of n in n 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 1.651 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.651 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.651 * [taylor]: Taking taylor expansion of f in n 1.651 * [backup-simplify]: Simplify f into f 1.651 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.651 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.651 * [taylor]: Taking taylor expansion of n in n 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify (/ 1 1) into 1 1.651 * [backup-simplify]: Simplify (+ 0 1) into 1 1.651 * [backup-simplify]: Simplify (- 1) into -1 1.652 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.652 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.652 * [backup-simplify]: Simplify (* -1 -1) into 1 1.652 * [backup-simplify]: Simplify (sqrt 1) into 1 1.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.653 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 1.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.653 * [backup-simplify]: Simplify (- 0) into 0 1.653 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 1.653 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 1.654 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* 0 -1)) into (* 2 (/ 1 f)) 1.654 * [backup-simplify]: Simplify (/ (* 2 (/ 1 f)) (* 2 (sqrt 1))) into (/ 1 f) 1.654 * [backup-simplify]: Simplify (* 1 1) into 1 1.654 * [backup-simplify]: Simplify (exp 1) into E 1.654 * [taylor]: Taking taylor expansion of 1 in n 1.654 * [backup-simplify]: Simplify 1 into 1 1.654 * [taylor]: Taking taylor expansion of (expm1 (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2)) in f 1.655 * [taylor]: Rewrote expression to (- (exp (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2)) 1) 1.655 * [taylor]: Taking taylor expansion of (exp (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2)) in f 1.655 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in f 1.655 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.655 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.655 * [taylor]: Taking taylor expansion of -1 in f 1.655 * [backup-simplify]: Simplify -1 into -1 1.655 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.655 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.655 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.655 * [taylor]: Taking taylor expansion of f in f 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (/ 1 1) into 1 1.655 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.655 * [taylor]: Taking taylor expansion of n in f 1.655 * [backup-simplify]: Simplify n into n 1.655 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.655 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.655 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.655 * [taylor]: Taking taylor expansion of f in f 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (/ 1 1) into 1 1.655 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.655 * [taylor]: Taking taylor expansion of n in f 1.655 * [backup-simplify]: Simplify n into n 1.655 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.656 * [backup-simplify]: Simplify (+ 1 0) into 1 1.656 * [backup-simplify]: Simplify (+ 1 0) 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 (sqrt -1) into (sqrt -1) 1.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.658 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.658 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.658 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.659 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 n))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) n)) 1.659 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 1.660 * [backup-simplify]: Simplify (exp (pow (sqrt -1) 2)) into (exp (pow (sqrt -1) 2)) 1.660 * [taylor]: Taking taylor expansion of 1 in f 1.660 * [backup-simplify]: Simplify 1 into 1 1.660 * [taylor]: Taking taylor expansion of (expm1 (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2)) in f 1.660 * [taylor]: Rewrote expression to (- (exp (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2)) 1) 1.660 * [taylor]: Taking taylor expansion of (exp (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2)) in f 1.660 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in f 1.660 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.660 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.660 * [taylor]: Taking taylor expansion of -1 in f 1.660 * [backup-simplify]: Simplify -1 into -1 1.660 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.660 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.660 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.660 * [taylor]: Taking taylor expansion of f in f 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (/ 1 1) into 1 1.661 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.661 * [taylor]: Taking taylor expansion of n in f 1.661 * [backup-simplify]: Simplify n into n 1.661 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.661 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.661 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.661 * [taylor]: Taking taylor expansion of f in f 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (/ 1 1) into 1 1.661 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.661 * [taylor]: Taking taylor expansion of n in f 1.661 * [backup-simplify]: Simplify n into n 1.661 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.661 * [backup-simplify]: Simplify (+ 1 0) into 1 1.662 * [backup-simplify]: Simplify (+ 1 0) into 1 1.662 * [backup-simplify]: Simplify (/ 1 1) into 1 1.662 * [backup-simplify]: Simplify (* -1 1) into -1 1.662 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.663 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.663 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.663 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.663 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.664 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.664 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 n))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) n)) 1.665 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 1.666 * [backup-simplify]: Simplify (exp (pow (sqrt -1) 2)) into (exp (pow (sqrt -1) 2)) 1.666 * [taylor]: Taking taylor expansion of 1 in f 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [backup-simplify]: Simplify (- 1) into -1 1.667 * [backup-simplify]: Simplify (+ (exp (pow (sqrt -1) 2)) -1) into (- (exp (pow (sqrt -1) 2)) 1) 1.667 * [taylor]: Taking taylor expansion of (- (exp (pow (sqrt -1) 2)) 1) in n 1.667 * [taylor]: Taking taylor expansion of (exp (pow (sqrt -1) 2)) in n 1.667 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.667 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.667 * [taylor]: Taking taylor expansion of -1 in n 1.667 * [backup-simplify]: Simplify -1 into -1 1.668 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.669 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 1.670 * [backup-simplify]: Simplify (exp (pow (sqrt -1) 2)) into (exp (pow (sqrt -1) 2)) 1.670 * [taylor]: Taking taylor expansion of 1 in n 1.670 * [backup-simplify]: Simplify 1 into 1 1.670 * [backup-simplify]: Simplify (- 1) into -1 1.671 * [backup-simplify]: Simplify (+ (exp (pow (sqrt -1) 2)) -1) into (- (exp (pow (sqrt -1) 2)) 1) 1.672 * [backup-simplify]: Simplify (- (exp (pow (sqrt -1) 2)) 1) into (- (exp (pow (sqrt -1) 2)) 1) 1.673 * [backup-simplify]: Simplify (+ (* (sqrt -1) (/ -1 (* (sqrt -1) n))) (* (/ -1 (* (sqrt -1) n)) (sqrt -1))) into (- (* 2 (/ 1 n))) 1.674 * [backup-simplify]: Simplify (* (exp (pow (sqrt -1) 2)) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp (pow (sqrt -1) 2)) n)) 1.675 * [backup-simplify]: Simplify (- 0) into 0 1.676 * [backup-simplify]: Simplify (+ (* -2 (/ (exp (pow (sqrt -1) 2)) n)) 0) into (- (* 2 (/ (exp (pow (sqrt -1) 2)) n))) 1.676 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp (pow (sqrt -1) 2)) n))) in n 1.676 * [taylor]: Taking taylor expansion of (* 2 (/ (exp (pow (sqrt -1) 2)) n)) in n 1.676 * [taylor]: Taking taylor expansion of 2 in n 1.676 * [backup-simplify]: Simplify 2 into 2 1.676 * [taylor]: Taking taylor expansion of (/ (exp (pow (sqrt -1) 2)) n) in n 1.676 * [taylor]: Taking taylor expansion of (exp (pow (sqrt -1) 2)) in n 1.676 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.676 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.676 * [taylor]: Taking taylor expansion of -1 in n 1.676 * [backup-simplify]: Simplify -1 into -1 1.676 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.677 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 1.678 * [backup-simplify]: Simplify (exp (pow (sqrt -1) 2)) into (exp (pow (sqrt -1) 2)) 1.678 * [taylor]: Taking taylor expansion of n in n 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.679 * [backup-simplify]: Simplify (/ (exp (pow (sqrt -1) 2)) 1) into (exp (pow (sqrt -1) 2)) 1.680 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 1.681 * [backup-simplify]: Simplify (* (exp (pow (sqrt -1) 2)) (+ (* (/ (pow 0 1) 1)))) into 0 1.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (pow (sqrt -1) 2)) (/ 0 1)))) into 0 1.682 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp (pow (sqrt -1) 2)))) into 0 1.682 * [backup-simplify]: Simplify (- 0) into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 1.683 * [backup-simplify]: Simplify (* (exp (pow (sqrt -1) 2)) (+ (* (/ (pow 0 1) 1)))) into 0 1.684 * [backup-simplify]: Simplify (- 0) into 0 1.684 * [backup-simplify]: Simplify (+ 0 0) into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.685 * [backup-simplify]: Simplify (+ 0 0) into 0 1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.685 * [backup-simplify]: Simplify (- 0) into 0 1.686 * [backup-simplify]: Simplify (+ 0 0) into 0 1.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.687 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.688 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow n 2)))) (pow (/ -1 (* (sqrt -1) n)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) 1.692 * [backup-simplify]: Simplify (+ (* (sqrt -1) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1)))) (+ (* (/ -1 (* (sqrt -1) n)) (/ -1 (* (sqrt -1) n))) (* (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) (sqrt -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.693 * [backup-simplify]: Simplify (* (exp (pow (sqrt -1) 2)) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 1.693 * [backup-simplify]: Simplify (- 0) into 0 1.693 * [backup-simplify]: Simplify (+ 0 0) into 0 1.693 * [taylor]: Taking taylor expansion of 0 in n 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 1.695 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 1.696 * [backup-simplify]: Simplify (* (exp (pow (sqrt -1) 2)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (pow (sqrt -1) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.697 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp (pow (sqrt -1) 2))))) into 0 1.697 * [backup-simplify]: Simplify (- 0) into 0 1.697 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 1.698 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 1.699 * [backup-simplify]: Simplify (* (exp (pow (sqrt -1) 2)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.700 * [backup-simplify]: Simplify (- 0) into 0 1.700 * [backup-simplify]: Simplify (+ 0 0) into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.701 * [backup-simplify]: Simplify (+ 0 0) into 0 1.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.702 * [backup-simplify]: Simplify (- 0) into 0 1.702 * [backup-simplify]: Simplify (+ 0 0) into 0 1.703 * [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))) 1.703 * [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)))) 1.706 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow n 3)))) (+ (* 2 (* (/ -1 (* (sqrt -1) n)) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))))))) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) 1.715 * [backup-simplify]: Simplify (+ (* (sqrt -1) (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1)))) (+ (* (/ -1 (* (sqrt -1) n)) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1)))) (+ (* (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) (/ -1 (* (sqrt -1) n))) (* (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) (sqrt -1))))) into (- (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3))))) 1.718 * [backup-simplify]: Simplify (* (exp (pow (sqrt -1) 2)) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3))))) 1) 1)))) into (* 2/3 (/ (exp (pow (sqrt -1) 2)) (pow n 3))) 1.718 * [backup-simplify]: Simplify (- 0) into 0 1.719 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp (pow (sqrt -1) 2)) (pow n 3))) 0) into (* 2/3 (/ (exp (pow (sqrt -1) 2)) (pow n 3))) 1.719 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp (pow (sqrt -1) 2)) (pow n 3))) in n 1.720 * [taylor]: Taking taylor expansion of 2/3 in n 1.720 * [backup-simplify]: Simplify 2/3 into 2/3 1.720 * [taylor]: Taking taylor expansion of (/ (exp (pow (sqrt -1) 2)) (pow n 3)) in n 1.720 * [taylor]: Taking taylor expansion of (exp (pow (sqrt -1) 2)) in n 1.720 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.720 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.720 * [taylor]: Taking taylor expansion of -1 in n 1.720 * [backup-simplify]: Simplify -1 into -1 1.720 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.721 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 1.722 * [backup-simplify]: Simplify (exp (pow (sqrt -1) 2)) into (exp (pow (sqrt -1) 2)) 1.722 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.722 * [taylor]: Taking taylor expansion of n in n 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 1 into 1 1.722 * [backup-simplify]: Simplify (* 1 1) into 1 1.722 * [backup-simplify]: Simplify (* 1 1) into 1 1.724 * [backup-simplify]: Simplify (/ (exp (pow (sqrt -1) 2)) 1) into (exp (pow (sqrt -1) 2)) 1.724 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 1.725 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 1.725 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 1.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 1.726 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -1))))) into 0 1.728 * [backup-simplify]: Simplify (* (exp (pow (sqrt -1) 2)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.730 * [backup-simplify]: Simplify (* (exp (pow (sqrt -1) 2)) (+ (* (/ (pow 0 1) 1)))) into 0 1.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (pow (sqrt -1) 2)) (/ 0 1)))) into 0 1.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.733 * [backup-simplify]: Simplify (* (exp (pow (sqrt -1) 2)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (pow (sqrt -1) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (pow (sqrt -1) 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.735 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (pow (sqrt -1) 2)))))) into 0 1.735 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify (- (exp (pow (sqrt -1) 2)) 1) into (- (exp (pow (sqrt -1) 2)) 1) 1.737 * [backup-simplify]: Simplify (expm1 (* (sqrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) (sqrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))))) into (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1.738 * [approximate]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 1.738 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.738 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.738 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.738 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.738 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.738 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.738 * [taylor]: Taking taylor expansion of f in n 1.738 * [backup-simplify]: Simplify f into f 1.738 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.738 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.738 * [taylor]: Taking taylor expansion of n in n 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [backup-simplify]: Simplify (/ 1 1) into 1 1.738 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.738 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.738 * [taylor]: Taking taylor expansion of n in n 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [backup-simplify]: Simplify (/ 1 1) into 1 1.738 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.738 * [taylor]: Taking taylor expansion of f in n 1.738 * [backup-simplify]: Simplify f into f 1.738 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.739 * [backup-simplify]: Simplify (+ 0 1) into 1 1.739 * [backup-simplify]: Simplify (+ 1 0) into 1 1.739 * [backup-simplify]: Simplify (/ 1 1) into 1 1.739 * [backup-simplify]: Simplify (exp 1) into E 1.739 * [taylor]: Taking taylor expansion of 1 in n 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.739 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.739 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.739 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.739 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.739 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.739 * [taylor]: Taking taylor expansion of f in f 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 1 into 1 1.740 * [backup-simplify]: Simplify (/ 1 1) into 1 1.740 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.740 * [taylor]: Taking taylor expansion of n in f 1.740 * [backup-simplify]: Simplify n into n 1.740 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.740 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.740 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.740 * [taylor]: Taking taylor expansion of n in f 1.740 * [backup-simplify]: Simplify n into n 1.740 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.740 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.740 * [taylor]: Taking taylor expansion of f in f 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify 1 into 1 1.740 * [backup-simplify]: Simplify (/ 1 1) into 1 1.740 * [backup-simplify]: Simplify (+ 1 0) into 1 1.741 * [backup-simplify]: Simplify (- 1) into -1 1.741 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.741 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.741 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.741 * [taylor]: Taking taylor expansion of 1 in f 1.741 * [backup-simplify]: Simplify 1 into 1 1.741 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.741 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.741 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.741 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.741 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.741 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.741 * [taylor]: Taking taylor expansion of f in f 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 n) in f 1.742 * [taylor]: Taking taylor expansion of n in f 1.742 * [backup-simplify]: Simplify n into n 1.742 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.742 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.742 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.742 * [taylor]: Taking taylor expansion of n in f 1.742 * [backup-simplify]: Simplify n into n 1.742 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.742 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.742 * [taylor]: Taking taylor expansion of f in f 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 (+ 1 0) 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) 1.743 * [taylor]: Taking taylor expansion of 1 in f 1.743 * [backup-simplify]: Simplify 1 into 1 1.744 * [backup-simplify]: Simplify (- 1) into -1 1.744 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.744 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 1.744 * [taylor]: Taking taylor expansion of (exp -1) in n 1.744 * [taylor]: Taking taylor expansion of -1 in n 1.744 * [backup-simplify]: Simplify -1 into -1 1.745 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.745 * [taylor]: Taking taylor expansion of 1 in n 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [backup-simplify]: Simplify (- 1) into -1 1.745 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.746 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 1.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.746 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.747 * [backup-simplify]: Simplify (- 0) into 0 1.747 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.747 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.747 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 1.748 * [backup-simplify]: Simplify (- 0) into 0 1.748 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 1.748 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 1.748 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 1.748 * [taylor]: Taking taylor expansion of 2 in n 1.748 * [backup-simplify]: Simplify 2 into 2 1.748 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 1.748 * [taylor]: Taking taylor expansion of (exp -1) in n 1.748 * [taylor]: Taking taylor expansion of -1 in n 1.748 * [backup-simplify]: Simplify -1 into -1 1.748 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.748 * [taylor]: Taking taylor expansion of n in n 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 1 into 1 1.749 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 1.749 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 1.750 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 1.751 * [backup-simplify]: Simplify (- 0) into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.751 * [backup-simplify]: Simplify (- 0) into 0 1.752 * [backup-simplify]: Simplify (+ 0 0) into 0 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.752 * [backup-simplify]: Simplify (+ 0 0) into 0 1.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.753 * [backup-simplify]: Simplify (- 0) into 0 1.753 * [backup-simplify]: Simplify (+ 0 0) into 0 1.754 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.755 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 1.755 * [backup-simplify]: Simplify (- 0) into 0 1.755 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [taylor]: Taking taylor expansion of 0 in n 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.757 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 1.757 * [backup-simplify]: Simplify (- 0) into 0 1.757 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.758 * [backup-simplify]: Simplify (- 0) into 0 1.759 * [backup-simplify]: Simplify (+ 0 0) into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.759 * [backup-simplify]: Simplify (+ 0 0) into 0 1.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.760 * [backup-simplify]: Simplify (- 0) into 0 1.760 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [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)))) 1.762 * [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))) 1.763 * [backup-simplify]: Simplify (- 0) into 0 1.763 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 1.763 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 1.763 * [taylor]: Taking taylor expansion of 2/3 in n 1.763 * [backup-simplify]: Simplify 2/3 into 2/3 1.763 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 1.763 * [taylor]: Taking taylor expansion of (exp -1) in n 1.763 * [taylor]: Taking taylor expansion of -1 in n 1.763 * [backup-simplify]: Simplify -1 into -1 1.763 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.763 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.763 * [taylor]: Taking taylor expansion of n in n 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (* 1 1) into 1 1.764 * [backup-simplify]: Simplify (* 1 1) into 1 1.764 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 1.765 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.770 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.772 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 1.772 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 1.772 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 1.772 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.772 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.772 * [taylor]: Taking taylor expansion of -1 in n 1.773 * [backup-simplify]: Simplify -1 into -1 1.773 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.773 * [taylor]: Taking taylor expansion of (+ n f) in n 1.773 * [taylor]: Taking taylor expansion of n in n 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [taylor]: Taking taylor expansion of f in n 1.773 * [backup-simplify]: Simplify f into f 1.773 * [taylor]: Taking taylor expansion of (- f n) in n 1.773 * [taylor]: Taking taylor expansion of f in n 1.773 * [backup-simplify]: Simplify f into f 1.773 * [taylor]: Taking taylor expansion of n in n 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [backup-simplify]: Simplify (+ 0 f) into f 1.773 * [backup-simplify]: Simplify (- 0) into 0 1.773 * [backup-simplify]: Simplify (+ f 0) into f 1.773 * [backup-simplify]: Simplify (/ f f) into 1 1.773 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.773 * [taylor]: Taking taylor expansion of -1 in f 1.773 * [backup-simplify]: Simplify -1 into -1 1.773 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.773 * [taylor]: Taking taylor expansion of (+ n f) in f 1.773 * [taylor]: Taking taylor expansion of n in f 1.773 * [backup-simplify]: Simplify n into n 1.773 * [taylor]: Taking taylor expansion of f in f 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [taylor]: Taking taylor expansion of (- f n) in f 1.773 * [taylor]: Taking taylor expansion of f in f 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [taylor]: Taking taylor expansion of n in f 1.773 * [backup-simplify]: Simplify n into n 1.773 * [backup-simplify]: Simplify (+ n 0) into n 1.773 * [backup-simplify]: Simplify (- n) into (- n) 1.773 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.773 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.773 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.773 * [taylor]: Taking taylor expansion of -1 in f 1.773 * [backup-simplify]: Simplify -1 into -1 1.773 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.773 * [taylor]: Taking taylor expansion of (+ n f) in f 1.773 * [taylor]: Taking taylor expansion of n in f 1.773 * [backup-simplify]: Simplify n into n 1.773 * [taylor]: Taking taylor expansion of f in f 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.774 * [taylor]: Taking taylor expansion of (- f n) in f 1.774 * [taylor]: Taking taylor expansion of f in f 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 1 into 1 1.774 * [taylor]: Taking taylor expansion of n in f 1.774 * [backup-simplify]: Simplify n into n 1.774 * [backup-simplify]: Simplify (+ n 0) into n 1.774 * [backup-simplify]: Simplify (- n) into (- n) 1.774 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.774 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.774 * [backup-simplify]: Simplify (* -1 -1) into 1 1.774 * [taylor]: Taking taylor expansion of 1 in n 1.774 * [backup-simplify]: Simplify 1 into 1 1.774 * [backup-simplify]: Simplify 1 into 1 1.774 * [backup-simplify]: Simplify (+ 0 1) into 1 1.774 * [backup-simplify]: Simplify (- 0) into 0 1.775 * [backup-simplify]: Simplify (+ 1 0) into 1 1.775 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.775 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.775 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.775 * [taylor]: Taking taylor expansion of 2 in n 1.775 * [backup-simplify]: Simplify 2 into 2 1.775 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.775 * [taylor]: Taking taylor expansion of n in n 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [backup-simplify]: Simplify (/ 1 1) into 1 1.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.776 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify (+ 0 0) into 0 1.777 * [backup-simplify]: Simplify (- 0) into 0 1.777 * [backup-simplify]: Simplify (+ 0 0) into 0 1.777 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.778 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.778 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) 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 (/ 1 (pow n 2)) in n 1.778 * [taylor]: Taking taylor expansion of (pow n 2) 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 1.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.780 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify (+ 0 0) into 0 1.782 * [backup-simplify]: Simplify (- 0) into 0 1.782 * [backup-simplify]: Simplify (+ 0 0) into 0 1.782 * [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)))) 1.783 * [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))) 1.783 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.783 * [taylor]: Taking taylor expansion of 2 in n 1.783 * [backup-simplify]: Simplify 2 into 2 1.783 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.783 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.783 * [taylor]: Taking taylor expansion of n in n 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [backup-simplify]: Simplify (* 1 1) into 1 1.784 * [backup-simplify]: Simplify (* 1 1) into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.789 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 1 into 1 1.789 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.789 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.789 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.789 * [taylor]: Taking taylor expansion of -1 in n 1.789 * [backup-simplify]: Simplify -1 into -1 1.789 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.789 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.789 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.789 * [taylor]: Taking taylor expansion of f in n 1.789 * [backup-simplify]: Simplify f into f 1.789 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.789 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.789 * [taylor]: Taking taylor expansion of n in n 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 1 into 1 1.789 * [backup-simplify]: Simplify (/ 1 1) into 1 1.789 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.789 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.789 * [taylor]: Taking taylor expansion of f in n 1.789 * [backup-simplify]: Simplify f into f 1.789 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.789 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.789 * [taylor]: Taking taylor expansion of n in n 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 1 into 1 1.790 * [backup-simplify]: Simplify (/ 1 1) into 1 1.790 * [backup-simplify]: Simplify (+ 0 1) into 1 1.790 * [backup-simplify]: Simplify (- 1) into -1 1.790 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.791 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.791 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.791 * [taylor]: Taking taylor expansion of -1 in f 1.791 * [backup-simplify]: Simplify -1 into -1 1.791 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.791 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 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 * [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) (/ 1 n)) in f 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 * [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) 1.792 * [backup-simplify]: Simplify (+ 1 0) into 1 1.792 * [backup-simplify]: Simplify (+ 1 0) into 1 1.792 * [backup-simplify]: Simplify (/ 1 1) into 1 1.792 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.792 * [taylor]: Taking taylor expansion of -1 in f 1.792 * [backup-simplify]: Simplify -1 into -1 1.792 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.792 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.792 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.792 * [taylor]: Taking taylor expansion of f in f 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 1 into 1 1.792 * [backup-simplify]: Simplify (/ 1 1) into 1 1.792 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.792 * [taylor]: Taking taylor expansion of n in f 1.792 * [backup-simplify]: Simplify n into n 1.793 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.793 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.793 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.793 * [taylor]: Taking taylor expansion of f in f 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 1 into 1 1.793 * [backup-simplify]: Simplify (/ 1 1) into 1 1.793 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.793 * [taylor]: Taking taylor expansion of n in f 1.793 * [backup-simplify]: Simplify n into n 1.793 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.793 * [backup-simplify]: Simplify (+ 1 0) into 1 1.793 * [backup-simplify]: Simplify (+ 1 0) into 1 1.794 * [backup-simplify]: Simplify (/ 1 1) into 1 1.794 * [backup-simplify]: Simplify (* -1 1) into -1 1.794 * [taylor]: Taking taylor expansion of -1 in n 1.794 * [backup-simplify]: Simplify -1 into -1 1.794 * [backup-simplify]: Simplify -1 into -1 1.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.794 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.795 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.795 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.795 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.795 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.795 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.795 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.795 * [taylor]: Taking taylor expansion of 2 in n 1.795 * [backup-simplify]: Simplify 2 into 2 1.795 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.795 * [taylor]: Taking taylor expansion of n in n 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (/ 1 1) into 1 1.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.799 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.800 * [backup-simplify]: Simplify (- 0) into 0 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.801 * [backup-simplify]: Simplify (+ 0 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) into 0 1.802 * [backup-simplify]: Simplify (+ 0 0) into 0 1.802 * [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)))) 1.803 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.803 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.803 * [taylor]: Taking taylor expansion of 2 in n 1.803 * [backup-simplify]: Simplify 2 into 2 1.803 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.803 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.803 * [taylor]: Taking taylor expansion of n in n 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (* 1 1) into 1 1.803 * [backup-simplify]: Simplify (/ 1 1) into 1 1.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.806 * [backup-simplify]: Simplify (- 0) into 0 1.806 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.807 * [backup-simplify]: Simplify (- 0) into 0 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.808 * [backup-simplify]: Simplify (+ 0 0) into 0 1.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.808 * [backup-simplify]: Simplify (- 0) into 0 1.809 * [backup-simplify]: Simplify (+ 0 0) into 0 1.810 * [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))) 1.810 * [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)))) 1.810 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.810 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.810 * [taylor]: Taking taylor expansion of 2 in n 1.810 * [backup-simplify]: Simplify 2 into 2 1.810 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.810 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.810 * [taylor]: Taking taylor expansion of n in n 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.810 * [backup-simplify]: Simplify (* 1 1) into 1 1.811 * [backup-simplify]: Simplify (* 1 1) into 1 1.811 * [backup-simplify]: Simplify (/ 1 1) into 1 1.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.815 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.816 * [backup-simplify]: Simplify (- 0) into 0 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify -1 into -1 1.816 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.816 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.816 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.816 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.816 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.816 * [taylor]: Taking taylor expansion of f in n 1.816 * [backup-simplify]: Simplify f into f 1.816 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.816 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.816 * [taylor]: Taking taylor expansion of n in n 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 1 into 1 1.816 * [backup-simplify]: Simplify (/ 1 1) into 1 1.816 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.816 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.816 * [taylor]: Taking taylor expansion of n in n 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify (/ 1 1) into 1 1.817 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.817 * [taylor]: Taking taylor expansion of f in n 1.817 * [backup-simplify]: Simplify f into f 1.817 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.817 * [backup-simplify]: Simplify (+ 0 1) into 1 1.817 * [backup-simplify]: Simplify (+ 1 0) into 1 1.817 * [backup-simplify]: Simplify (/ 1 1) into 1 1.817 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.817 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.817 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.817 * [taylor]: Taking taylor expansion of f in f 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.818 * [backup-simplify]: Simplify (/ 1 1) into 1 1.818 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.818 * [taylor]: Taking taylor expansion of n in f 1.818 * [backup-simplify]: Simplify n into n 1.818 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.818 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.818 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.818 * [taylor]: Taking taylor expansion of n in f 1.818 * [backup-simplify]: Simplify n into n 1.818 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.818 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.818 * [taylor]: Taking taylor expansion of f in f 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 1 into 1 1.818 * [backup-simplify]: Simplify (/ 1 1) into 1 1.818 * [backup-simplify]: Simplify (+ 1 0) into 1 1.819 * [backup-simplify]: Simplify (- 1) into -1 1.819 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.819 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.819 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.819 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.819 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.819 * [taylor]: Taking taylor expansion of f in f 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 1.819 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.819 * [taylor]: Taking taylor expansion of n in f 1.819 * [backup-simplify]: Simplify n into n 1.819 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.819 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.819 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.819 * [taylor]: Taking taylor expansion of n in f 1.819 * [backup-simplify]: Simplify n into n 1.820 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.820 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.820 * [taylor]: Taking taylor expansion of f in f 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 1 into 1 1.820 * [backup-simplify]: Simplify (/ 1 1) into 1 1.820 * [backup-simplify]: Simplify (+ 1 0) into 1 1.820 * [backup-simplify]: Simplify (- 1) into -1 1.820 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.821 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.821 * [taylor]: Taking taylor expansion of -1 in n 1.821 * [backup-simplify]: Simplify -1 into -1 1.821 * [backup-simplify]: Simplify -1 into -1 1.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.821 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.822 * [backup-simplify]: Simplify (- 0) into 0 1.822 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.822 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.822 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.822 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.822 * [taylor]: Taking taylor expansion of 2 in n 1.822 * [backup-simplify]: Simplify 2 into 2 1.822 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.822 * [taylor]: Taking taylor expansion of n in n 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 1 into 1 1.822 * [backup-simplify]: Simplify (/ 1 1) into 1 1.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.823 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.823 * [backup-simplify]: Simplify (- 0) into 0 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.824 * [backup-simplify]: Simplify (+ 0 0) into 0 1.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.825 * [backup-simplify]: Simplify (- 0) into 0 1.825 * [backup-simplify]: Simplify (+ 0 0) into 0 1.826 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.826 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.826 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.826 * [taylor]: Taking taylor expansion of 2 in n 1.826 * [backup-simplify]: Simplify 2 into 2 1.826 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.826 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.826 * [taylor]: Taking taylor expansion of n in n 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [backup-simplify]: Simplify (* 1 1) into 1 1.826 * [backup-simplify]: Simplify (/ 1 1) into 1 1.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.829 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.829 * [backup-simplify]: Simplify (- 0) into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.830 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.830 * [backup-simplify]: Simplify (- 0) into 0 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.831 * [backup-simplify]: Simplify (+ 0 0) into 0 1.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (- 0) into 0 1.832 * [backup-simplify]: Simplify (+ 0 0) into 0 1.833 * [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)))) 1.833 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.833 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.833 * [taylor]: Taking taylor expansion of 2 in n 1.833 * [backup-simplify]: Simplify 2 into 2 1.833 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.833 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.833 * [taylor]: Taking taylor expansion of n in n 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 1.833 * [backup-simplify]: Simplify (* 1 1) into 1 1.834 * [backup-simplify]: Simplify (* 1 1) into 1 1.834 * [backup-simplify]: Simplify (/ 1 1) into 1 1.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.839 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.839 * [backup-simplify]: Simplify (- 0) into 0 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify -1 into -1 1.839 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.839 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 1.839 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.839 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.839 * [taylor]: Taking taylor expansion of -1 in n 1.839 * [backup-simplify]: Simplify -1 into -1 1.839 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.839 * [taylor]: Taking taylor expansion of (+ n f) 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 * [taylor]: Taking taylor expansion of f in n 1.839 * [backup-simplify]: Simplify f into f 1.839 * [taylor]: Taking taylor expansion of (- f n) in n 1.839 * [taylor]: Taking taylor expansion of f in n 1.839 * [backup-simplify]: Simplify f into f 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 (+ 0 f) into f 1.840 * [backup-simplify]: Simplify (- 0) into 0 1.840 * [backup-simplify]: Simplify (+ f 0) into f 1.840 * [backup-simplify]: Simplify (/ f f) into 1 1.840 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.840 * [taylor]: Taking taylor expansion of -1 in f 1.840 * [backup-simplify]: Simplify -1 into -1 1.840 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.840 * [taylor]: Taking taylor expansion of (+ n f) in f 1.840 * [taylor]: Taking taylor expansion of n in f 1.840 * [backup-simplify]: Simplify n into n 1.840 * [taylor]: Taking taylor expansion of f in f 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [taylor]: Taking taylor expansion of (- f n) in f 1.840 * [taylor]: Taking taylor expansion of f in f 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [taylor]: Taking taylor expansion of n in f 1.840 * [backup-simplify]: Simplify n into n 1.840 * [backup-simplify]: Simplify (+ n 0) into n 1.840 * [backup-simplify]: Simplify (- n) into (- n) 1.840 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.840 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.840 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.840 * [taylor]: Taking taylor expansion of -1 in f 1.840 * [backup-simplify]: Simplify -1 into -1 1.840 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.840 * [taylor]: Taking taylor expansion of (+ n f) in f 1.840 * [taylor]: Taking taylor expansion of n in f 1.840 * [backup-simplify]: Simplify n into n 1.840 * [taylor]: Taking taylor expansion of f in f 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [taylor]: Taking taylor expansion of (- f n) in f 1.840 * [taylor]: Taking taylor expansion of f in f 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [taylor]: Taking taylor expansion of n in f 1.840 * [backup-simplify]: Simplify n into n 1.840 * [backup-simplify]: Simplify (+ n 0) into n 1.840 * [backup-simplify]: Simplify (- n) into (- n) 1.840 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.840 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.841 * [backup-simplify]: Simplify (* -1 -1) into 1 1.841 * [taylor]: Taking taylor expansion of 1 in n 1.841 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify (+ 0 1) into 1 1.841 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify (+ 1 0) into 1 1.841 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.842 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.842 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.842 * [taylor]: Taking taylor expansion of 2 in n 1.842 * [backup-simplify]: Simplify 2 into 2 1.842 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.842 * [taylor]: Taking taylor expansion of n in n 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [backup-simplify]: Simplify (/ 1 1) into 1 1.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify (+ 0 0) into 0 1.843 * [backup-simplify]: Simplify (- 0) into 0 1.844 * [backup-simplify]: Simplify (+ 0 0) into 0 1.844 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.844 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.844 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.844 * [taylor]: Taking taylor expansion of 2 in n 1.844 * [backup-simplify]: Simplify 2 into 2 1.844 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.844 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.844 * [taylor]: Taking taylor expansion of n in n 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 1 into 1 1.845 * [backup-simplify]: Simplify (* 1 1) into 1 1.845 * [backup-simplify]: Simplify (/ 1 1) into 1 1.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.847 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.848 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify (+ 0 0) into 0 1.848 * [backup-simplify]: Simplify (- 0) into 0 1.849 * [backup-simplify]: Simplify (+ 0 0) into 0 1.849 * [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)))) 1.850 * [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))) 1.850 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.850 * [taylor]: Taking taylor expansion of 2 in n 1.850 * [backup-simplify]: Simplify 2 into 2 1.850 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.850 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.850 * [taylor]: Taking taylor expansion of n in n 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (* 1 1) into 1 1.850 * [backup-simplify]: Simplify (* 1 1) into 1 1.850 * [backup-simplify]: Simplify (/ 1 1) into 1 1.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.855 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.855 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.855 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.855 * [taylor]: Taking taylor expansion of -1 in n 1.855 * [backup-simplify]: Simplify -1 into -1 1.855 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.855 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.855 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.855 * [taylor]: Taking taylor expansion of f in n 1.855 * [backup-simplify]: Simplify f into f 1.855 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.855 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.855 * [taylor]: Taking taylor expansion of n in n 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 f) (/ 1 n)) in n 1.856 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.856 * [taylor]: Taking taylor expansion of f in n 1.856 * [backup-simplify]: Simplify f into f 1.856 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.856 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.856 * [taylor]: Taking taylor expansion of n in n 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (/ 1 1) into 1 1.856 * [backup-simplify]: Simplify (+ 0 1) into 1 1.857 * [backup-simplify]: Simplify (- 1) into -1 1.857 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.857 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.857 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.857 * [taylor]: Taking taylor expansion of -1 in f 1.857 * [backup-simplify]: Simplify -1 into -1 1.857 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.857 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.857 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.857 * [taylor]: Taking taylor expansion of f in f 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (/ 1 1) into 1 1.857 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.857 * [taylor]: Taking taylor expansion of n in f 1.857 * [backup-simplify]: Simplify n into n 1.857 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.857 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.857 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.858 * [taylor]: Taking taylor expansion of f in f 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.858 * [backup-simplify]: Simplify (/ 1 1) into 1 1.858 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.858 * [taylor]: Taking taylor expansion of n in f 1.858 * [backup-simplify]: Simplify n into n 1.858 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.858 * [backup-simplify]: Simplify (+ 1 0) into 1 1.858 * [backup-simplify]: Simplify (+ 1 0) into 1 1.859 * [backup-simplify]: Simplify (/ 1 1) into 1 1.859 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.859 * [taylor]: Taking taylor expansion of -1 in f 1.859 * [backup-simplify]: Simplify -1 into -1 1.859 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.859 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.859 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.859 * [taylor]: Taking taylor expansion of f in f 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (/ 1 1) into 1 1.859 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.859 * [taylor]: Taking taylor expansion of n in f 1.859 * [backup-simplify]: Simplify n into n 1.859 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.859 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.859 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.859 * [taylor]: Taking taylor expansion of f in f 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (/ 1 1) into 1 1.859 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.859 * [taylor]: Taking taylor expansion of n in f 1.859 * [backup-simplify]: Simplify n into n 1.859 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.860 * [backup-simplify]: Simplify (+ 1 0) into 1 1.860 * [backup-simplify]: Simplify (+ 1 0) into 1 1.860 * [backup-simplify]: Simplify (/ 1 1) into 1 1.860 * [backup-simplify]: Simplify (* -1 1) into -1 1.860 * [taylor]: Taking taylor expansion of -1 in n 1.860 * [backup-simplify]: Simplify -1 into -1 1.860 * [backup-simplify]: Simplify -1 into -1 1.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.861 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.861 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.862 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.862 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.862 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.862 * [taylor]: Taking taylor expansion of 2 in n 1.862 * [backup-simplify]: Simplify 2 into 2 1.862 * [taylor]: Taking taylor expansion of (/ 1 n) 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 1.862 * [backup-simplify]: Simplify (/ 1 1) into 1 1.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.863 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.863 * [backup-simplify]: Simplify (- 0) into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.865 * [backup-simplify]: Simplify (- 0) into 0 1.865 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.866 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.866 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.866 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.866 * [taylor]: Taking taylor expansion of 2 in n 1.866 * [backup-simplify]: Simplify 2 into 2 1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.866 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.866 * [taylor]: Taking taylor expansion of n in n 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify 1 into 1 1.866 * [backup-simplify]: Simplify (* 1 1) into 1 1.867 * [backup-simplify]: Simplify (/ 1 1) into 1 1.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.869 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.869 * [backup-simplify]: Simplify (- 0) into 0 1.869 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.870 * [backup-simplify]: Simplify (- 0) into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.871 * [backup-simplify]: Simplify (+ 0 0) into 0 1.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.872 * [backup-simplify]: Simplify (- 0) into 0 1.872 * [backup-simplify]: Simplify (+ 0 0) into 0 1.873 * [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))) 1.874 * [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)))) 1.874 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.874 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.874 * [taylor]: Taking taylor expansion of 2 in n 1.874 * [backup-simplify]: Simplify 2 into 2 1.874 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.874 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.874 * [taylor]: Taking taylor expansion of n in n 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [backup-simplify]: Simplify (* 1 1) into 1 1.874 * [backup-simplify]: Simplify (* 1 1) into 1 1.874 * [backup-simplify]: Simplify (/ 1 1) into 1 1.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.879 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.879 * [backup-simplify]: Simplify (- 0) into 0 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify -1 into -1 1.879 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.879 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.879 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.879 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.879 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.879 * [taylor]: Taking taylor expansion of f in n 1.879 * [backup-simplify]: Simplify f into f 1.879 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.880 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.880 * [taylor]: Taking taylor expansion of n in n 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify (/ 1 1) into 1 1.880 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.880 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.880 * [taylor]: Taking taylor expansion of n in n 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify (/ 1 1) into 1 1.880 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.880 * [taylor]: Taking taylor expansion of f in n 1.880 * [backup-simplify]: Simplify f into f 1.880 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.880 * [backup-simplify]: Simplify (+ 0 1) into 1 1.881 * [backup-simplify]: Simplify (+ 1 0) into 1 1.881 * [backup-simplify]: Simplify (/ 1 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 1.883 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.883 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.883 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.883 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.883 * [taylor]: Taking taylor expansion of f in f 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (/ 1 1) into 1 1.883 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.883 * [taylor]: Taking taylor expansion of n in f 1.883 * [backup-simplify]: Simplify n into n 1.883 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.883 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.883 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.883 * [taylor]: Taking taylor expansion of n in f 1.883 * [backup-simplify]: Simplify n into n 1.883 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.883 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.883 * [taylor]: Taking taylor expansion of f in f 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (/ 1 1) into 1 1.884 * [backup-simplify]: Simplify (+ 1 0) into 1 1.884 * [backup-simplify]: Simplify (- 1) into -1 1.884 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.884 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.884 * [taylor]: Taking taylor expansion of -1 in n 1.884 * [backup-simplify]: Simplify -1 into -1 1.884 * [backup-simplify]: Simplify -1 into -1 1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.885 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.888 * [backup-simplify]: Simplify (- 0) into 0 1.888 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.888 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.888 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.888 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.888 * [taylor]: Taking taylor expansion of 2 in n 1.889 * [backup-simplify]: Simplify 2 into 2 1.889 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.889 * [taylor]: Taking taylor expansion of n in n 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 1 into 1 1.889 * [backup-simplify]: Simplify (/ 1 1) into 1 1.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.890 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.890 * [backup-simplify]: Simplify (- 0) into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (- 0) into 0 1.892 * [backup-simplify]: Simplify (+ 0 0) into 0 1.892 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.892 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.892 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.892 * [taylor]: Taking taylor expansion of 2 in n 1.892 * [backup-simplify]: Simplify 2 into 2 1.892 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.892 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.892 * [taylor]: Taking taylor expansion of n in n 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify (* 1 1) into 1 1.893 * [backup-simplify]: Simplify (/ 1 1) into 1 1.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.895 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.895 * [backup-simplify]: Simplify (- 0) into 0 1.895 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.896 * [backup-simplify]: Simplify (- 0) into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.897 * [backup-simplify]: Simplify (+ 0 0) into 0 1.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (- 0) into 0 1.898 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [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)))) 1.899 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.899 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.899 * [taylor]: Taking taylor expansion of 2 in n 1.899 * [backup-simplify]: Simplify 2 into 2 1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.899 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.899 * [taylor]: Taking taylor expansion of n in n 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.900 * [backup-simplify]: Simplify (* 1 1) into 1 1.900 * [backup-simplify]: Simplify (* 1 1) into 1 1.900 * [backup-simplify]: Simplify (/ 1 1) into 1 1.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.905 * [backup-simplify]: Simplify (- 0) into 0 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify -1 into -1 1.905 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.905 * [backup-simplify]: Simplify (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n)))) into (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) 1.905 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in (f n) around 0 1.905 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in n 1.905 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in n 1.905 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.905 * [taylor]: Taking taylor expansion of -1 in n 1.905 * [backup-simplify]: Simplify -1 into -1 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 1.906 * [backup-simplify]: Simplify (- 0) into 0 1.906 * [backup-simplify]: Simplify (+ f 0) into f 1.906 * [backup-simplify]: Simplify (/ f f) into 1 1.906 * [backup-simplify]: Simplify (* -1 1) into -1 1.906 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.906 * [backup-simplify]: Simplify (+ 1 0) into 1 1.907 * [backup-simplify]: Simplify (- 1) into -1 1.907 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.907 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 1.907 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 1.908 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 f))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) f)) 1.908 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in f 1.908 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 1.908 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.908 * [taylor]: Taking taylor expansion of -1 in f 1.908 * [backup-simplify]: Simplify -1 into -1 1.908 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.908 * [taylor]: Taking taylor expansion of (+ n f) in f 1.908 * [taylor]: Taking taylor expansion of n in f 1.908 * [backup-simplify]: Simplify n into n 1.908 * [taylor]: Taking taylor expansion of f in f 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [taylor]: Taking taylor expansion of (- f n) in f 1.908 * [taylor]: Taking taylor expansion of f in f 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [taylor]: Taking taylor expansion of n in f 1.908 * [backup-simplify]: Simplify n into n 1.908 * [backup-simplify]: Simplify (+ n 0) into n 1.908 * [backup-simplify]: Simplify (- n) into (- n) 1.908 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.908 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.908 * [backup-simplify]: Simplify (* -1 -1) into 1 1.909 * [backup-simplify]: Simplify (sqrt 1) into 1 1.909 * [backup-simplify]: Simplify (+ 0 1) into 1 1.909 * [backup-simplify]: Simplify (- 0) into 0 1.909 * [backup-simplify]: Simplify (+ 1 0) into 1 1.909 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.910 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.910 * [backup-simplify]: Simplify (/ (* 2 (/ 1 n)) (* 2 (sqrt 1))) into (/ 1 n) 1.910 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in f 1.910 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 1.910 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.910 * [taylor]: Taking taylor expansion of -1 in f 1.910 * [backup-simplify]: Simplify -1 into -1 1.910 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.910 * [taylor]: Taking taylor expansion of (+ n f) in f 1.910 * [taylor]: Taking taylor expansion of n in f 1.910 * [backup-simplify]: Simplify n into n 1.910 * [taylor]: Taking taylor expansion of f in f 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.910 * [taylor]: Taking taylor expansion of (- f n) in f 1.910 * [taylor]: Taking taylor expansion of f in f 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.910 * [taylor]: Taking taylor expansion of n in f 1.911 * [backup-simplify]: Simplify n into n 1.911 * [backup-simplify]: Simplify (+ n 0) into n 1.911 * [backup-simplify]: Simplify (- n) into (- n) 1.911 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.911 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.911 * [backup-simplify]: Simplify (* -1 -1) into 1 1.911 * [backup-simplify]: Simplify (sqrt 1) into 1 1.911 * [backup-simplify]: Simplify (+ 0 1) into 1 1.912 * [backup-simplify]: Simplify (- 0) into 0 1.912 * [backup-simplify]: Simplify (+ 1 0) into 1 1.912 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.912 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.912 * [backup-simplify]: Simplify (/ (* 2 (/ 1 n)) (* 2 (sqrt 1))) into (/ 1 n) 1.913 * [backup-simplify]: Simplify (* 1 1) into 1 1.913 * [taylor]: Taking taylor expansion of 1 in n 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 1.913 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.913 * [taylor]: Taking taylor expansion of 2 in n 1.913 * [backup-simplify]: Simplify 2 into 2 1.913 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.913 * [taylor]: Taking taylor expansion of n in n 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (/ 1 1) into 1 1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify (+ 0 0) into 0 1.914 * [backup-simplify]: Simplify (- 0) into 0 1.915 * [backup-simplify]: Simplify (+ 0 0) into 0 1.915 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.915 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.916 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow n 2))) (pow (/ 1 n) 2) (+)) (* 2 1)) into (/ 1/2 (pow n 2)) 1.916 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow n 2))) (+ (* (/ 1 n) (/ 1 n)) (* (/ 1/2 (pow n 2)) 1))) into (* 2 (/ 1 (pow n 2))) 1.916 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.916 * [taylor]: Taking taylor expansion of 2 in n 1.916 * [backup-simplify]: Simplify 2 into 2 1.916 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.916 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.916 * [taylor]: Taking taylor expansion of n in n 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.917 * [backup-simplify]: Simplify (* 1 1) into 1 1.917 * [backup-simplify]: Simplify (/ 1 1) into 1 1.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.919 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify (+ 0 0) into 0 1.920 * [backup-simplify]: Simplify (- 0) into 0 1.921 * [backup-simplify]: Simplify (+ 0 0) into 0 1.921 * [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)))) 1.922 * [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))) 1.922 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow n 3))) (+ (* 2 (* (/ 1 n) (/ 1/2 (pow n 2)))))) (* 2 1)) into (/ 1/2 (pow n 3)) 1.923 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow n 3))) (+ (* (/ 1 n) (/ 1/2 (pow n 2))) (+ (* (/ 1/2 (pow n 2)) (/ 1 n)) (* (/ 1/2 (pow n 3)) 1)))) into (* 2 (/ 1 (pow n 3))) 1.923 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.923 * [taylor]: Taking taylor expansion of 2 in n 1.923 * [backup-simplify]: Simplify 2 into 2 1.923 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.923 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.923 * [taylor]: Taking taylor expansion of n in n 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.923 * [backup-simplify]: Simplify (* 1 1) into 1 1.923 * [backup-simplify]: Simplify (* 1 1) into 1 1.923 * [backup-simplify]: Simplify (/ 1 1) into 1 1.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (* (sqrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) (sqrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) 1.928 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in (f n) around 0 1.928 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in n 1.928 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.928 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.928 * [taylor]: Taking taylor expansion of -1 in n 1.928 * [backup-simplify]: Simplify -1 into -1 1.928 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.928 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.928 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.928 * [taylor]: Taking taylor expansion of f in n 1.929 * [backup-simplify]: Simplify f into f 1.929 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.929 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.929 * [taylor]: Taking taylor expansion of n in n 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify (/ 1 1) into 1 1.929 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.929 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.929 * [taylor]: Taking taylor expansion of f in n 1.929 * [backup-simplify]: Simplify f into f 1.929 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.929 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.929 * [taylor]: Taking taylor expansion of n in n 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify (/ 1 1) into 1 1.929 * [backup-simplify]: Simplify (+ 0 1) into 1 1.930 * [backup-simplify]: Simplify (- 1) into -1 1.930 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.930 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.930 * [backup-simplify]: Simplify (* -1 -1) into 1 1.931 * [backup-simplify]: Simplify (sqrt 1) into 1 1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (- 0) into 0 1.932 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 1.932 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 1.932 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* 0 -1)) into (* 2 (/ 1 f)) 1.932 * [backup-simplify]: Simplify (/ (* 2 (/ 1 f)) (* 2 (sqrt 1))) into (/ 1 f) 1.932 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in f 1.932 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.933 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.933 * [taylor]: Taking taylor expansion of -1 in f 1.933 * [backup-simplify]: Simplify -1 into -1 1.933 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.933 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.933 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.933 * [taylor]: Taking taylor expansion of f in f 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (/ 1 1) into 1 1.933 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.933 * [taylor]: Taking taylor expansion of n in f 1.933 * [backup-simplify]: Simplify n into n 1.933 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.933 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.933 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.933 * [taylor]: Taking taylor expansion of f in f 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (/ 1 1) into 1 1.933 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.933 * [taylor]: Taking taylor expansion of n in f 1.933 * [backup-simplify]: Simplify n into n 1.933 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.934 * [backup-simplify]: Simplify (+ 1 0) into 1 1.934 * [backup-simplify]: Simplify (+ 1 0) into 1 1.934 * [backup-simplify]: Simplify (/ 1 1) into 1 1.934 * [backup-simplify]: Simplify (* -1 1) into -1 1.934 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.935 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.936 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.936 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.936 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 n))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) n)) 1.936 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in f 1.936 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.936 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.937 * [taylor]: Taking taylor expansion of -1 in f 1.937 * [backup-simplify]: Simplify -1 into -1 1.937 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.937 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.937 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.937 * [taylor]: Taking taylor expansion of f in f 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [backup-simplify]: Simplify (/ 1 1) into 1 1.937 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.937 * [taylor]: Taking taylor expansion of n in f 1.937 * [backup-simplify]: Simplify n into n 1.937 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.937 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.937 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.937 * [taylor]: Taking taylor expansion of f in f 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [backup-simplify]: Simplify (/ 1 1) into 1 1.937 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.937 * [taylor]: Taking taylor expansion of n in f 1.937 * [backup-simplify]: Simplify n into n 1.937 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.938 * [backup-simplify]: Simplify (+ 1 0) into 1 1.938 * [backup-simplify]: Simplify (+ 1 0) into 1 1.938 * [backup-simplify]: Simplify (/ 1 1) into 1 1.938 * [backup-simplify]: Simplify (* -1 1) into -1 1.938 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.939 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.940 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.940 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.940 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 n))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) n)) 1.941 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 1.941 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.941 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.941 * [taylor]: Taking taylor expansion of -1 in n 1.941 * [backup-simplify]: Simplify -1 into -1 1.941 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.942 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 1.943 * [backup-simplify]: Simplify (pow (sqrt -1) 2) into (pow (sqrt -1) 2) 1.944 * [backup-simplify]: Simplify (+ (* (sqrt -1) (/ -1 (* (sqrt -1) n))) (* (/ -1 (* (sqrt -1) n)) (sqrt -1))) into (- (* 2 (/ 1 n))) 1.944 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.944 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.944 * [taylor]: Taking taylor expansion of 2 in n 1.944 * [backup-simplify]: Simplify 2 into 2 1.944 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.944 * [taylor]: Taking taylor expansion of n in n 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (/ 1 1) into 1 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.945 * [backup-simplify]: Simplify (- 0) into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.947 * [backup-simplify]: Simplify (+ 0 0) into 0 1.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.948 * [backup-simplify]: Simplify (- 0) into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.949 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.950 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow n 2)))) (pow (/ -1 (* (sqrt -1) n)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) 1.953 * [backup-simplify]: Simplify (+ (* (sqrt -1) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1)))) (+ (* (/ -1 (* (sqrt -1) n)) (/ -1 (* (sqrt -1) n))) (* (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) (sqrt -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.953 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.954 * [taylor]: Taking taylor expansion of 2 in n 1.954 * [backup-simplify]: Simplify 2 into 2 1.954 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.954 * [taylor]: Taking taylor expansion of (pow n 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 1.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.956 * [backup-simplify]: Simplify (- 0) into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.958 * [backup-simplify]: Simplify (- 0) into 0 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 1.959 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.960 * [backup-simplify]: Simplify (- 0) into 0 1.961 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [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))) 1.962 * [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)))) 1.964 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow n 3)))) (+ (* 2 (* (/ -1 (* (sqrt -1) n)) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))))))) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) 1.971 * [backup-simplify]: Simplify (+ (* (sqrt -1) (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1)))) (+ (* (/ -1 (* (sqrt -1) n)) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1)))) (+ (* (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) (/ -1 (* (sqrt -1) n))) (* (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) (sqrt -1))))) into (- (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3))))) 1.971 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3))))) in n 1.971 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) in n 1.971 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 3)) in n 1.971 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.971 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.971 * [taylor]: Taking taylor expansion of -1 in n 1.971 * [backup-simplify]: Simplify -1 into -1 1.971 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.972 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.972 * [taylor]: Taking taylor expansion of n in n 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 1.973 * [backup-simplify]: Simplify (* 1 1) into 1 1.973 * [backup-simplify]: Simplify (* 1 1) into 1 1.974 * [backup-simplify]: Simplify (* (pow (sqrt -1) 2) 1) into (pow (sqrt -1) 2) 1.977 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 2)) into (/ 1 (pow (sqrt -1) 2)) 1.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3)))) in n 1.977 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) in n 1.978 * [taylor]: Taking taylor expansion of (* (pow n 3) (pow (sqrt -1) 2)) in n 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 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.978 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.978 * [taylor]: Taking taylor expansion of -1 in n 1.978 * [backup-simplify]: Simplify -1 into -1 1.978 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.979 * [backup-simplify]: Simplify (* 1 1) into 1 1.979 * [backup-simplify]: Simplify (* 1 1) into 1 1.979 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 1.980 * [backup-simplify]: Simplify (* 1 (pow (sqrt -1) 2)) into (pow (sqrt -1) 2) 1.981 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 2)) into (/ 1 (pow (sqrt -1) 2)) 1.981 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.981 * [taylor]: Taking taylor expansion of 2 in n 1.981 * [backup-simplify]: Simplify 2 into 2 1.981 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.981 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.981 * [taylor]: Taking taylor expansion of n in n 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (* 1 1) into 1 1.982 * [backup-simplify]: Simplify (* 1 1) into 1 1.982 * [backup-simplify]: Simplify (/ 1 1) into 1 1.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 1.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.985 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 1.986 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 1.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.987 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 1.987 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -1))))) into 0 1.988 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (* 0 1)) into 0 1.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))))) into 0 1.990 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 1.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 1.992 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 1.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 1.994 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -1))))) into 0 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.995 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.996 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 1.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt -1) 2))))) into 0 1.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt -1) 2))) into 0 2.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))))) into 0 2.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt -1) 2)))) into 0 2.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 2.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.007 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.007 * [backup-simplify]: Simplify (+ 0 0) into 0 2.007 * [backup-simplify]: Simplify (- 0) into 0 2.007 * [backup-simplify]: Simplify (+ 0 0) into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (pow (sqrt -1) 2) into (pow (sqrt -1) 2) 2.008 * [backup-simplify]: Simplify (* (sqrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) (sqrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.008 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.008 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.008 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.008 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.008 * [taylor]: Taking taylor expansion of f in n 2.008 * [backup-simplify]: Simplify f into f 2.008 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.008 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.008 * [taylor]: Taking taylor expansion of n in n 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (/ 1 1) into 1 2.009 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.009 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.009 * [taylor]: Taking taylor expansion of n in n 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (/ 1 1) into 1 2.009 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.009 * [taylor]: Taking taylor expansion of f in n 2.009 * [backup-simplify]: Simplify f into f 2.009 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.009 * [backup-simplify]: Simplify (+ 0 1) into 1 2.010 * [backup-simplify]: Simplify (+ 1 0) into 1 2.010 * [backup-simplify]: Simplify (/ 1 1) into 1 2.010 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.010 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.010 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.010 * [taylor]: Taking taylor expansion of f in f 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.010 * [backup-simplify]: Simplify (/ 1 1) into 1 2.010 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.010 * [taylor]: Taking taylor expansion of n in f 2.010 * [backup-simplify]: Simplify n into n 2.010 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.010 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.010 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.010 * [taylor]: Taking taylor expansion of n in f 2.010 * [backup-simplify]: Simplify n into n 2.010 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.010 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.010 * [taylor]: Taking taylor expansion of f in f 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.011 * [backup-simplify]: Simplify (/ 1 1) into 1 2.011 * [backup-simplify]: Simplify (+ 1 0) into 1 2.011 * [backup-simplify]: Simplify (- 1) into -1 2.011 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.011 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.011 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.011 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.012 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.012 * [taylor]: Taking taylor expansion of f in f 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (/ 1 1) into 1 2.012 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.012 * [taylor]: Taking taylor expansion of n in f 2.012 * [backup-simplify]: Simplify n into n 2.012 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.012 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.012 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.012 * [taylor]: Taking taylor expansion of n in f 2.012 * [backup-simplify]: Simplify n into n 2.012 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.012 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.012 * [taylor]: Taking taylor expansion of f in f 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (/ 1 1) into 1 2.012 * [backup-simplify]: Simplify (+ 1 0) into 1 2.013 * [backup-simplify]: Simplify (- 1) into -1 2.013 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.013 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.013 * [taylor]: Taking taylor expansion of -1 in n 2.013 * [backup-simplify]: Simplify -1 into -1 2.013 * [backup-simplify]: Simplify -1 into -1 2.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.014 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.014 * [backup-simplify]: Simplify (- 0) into 0 2.014 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.015 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.015 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.015 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.015 * [taylor]: Taking taylor expansion of 2 in n 2.015 * [backup-simplify]: Simplify 2 into 2 2.015 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.015 * [taylor]: Taking taylor expansion of n in n 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify (/ 1 1) into 1 2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.016 * [backup-simplify]: Simplify (- 0) into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.017 * [backup-simplify]: Simplify (+ 0 0) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (- 0) into 0 2.018 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.018 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.018 * [taylor]: Taking taylor expansion of 2 in n 2.018 * [backup-simplify]: Simplify 2 into 2 2.018 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.018 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.018 * [taylor]: Taking taylor expansion of n in n 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 1 into 1 2.019 * [backup-simplify]: Simplify (* 1 1) into 1 2.019 * [backup-simplify]: Simplify (/ 1 1) into 1 2.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.021 * [backup-simplify]: Simplify (- 0) into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.022 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.022 * [backup-simplify]: Simplify (- 0) into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.023 * [backup-simplify]: Simplify (+ 0 0) into 0 2.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (- 0) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.025 * [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)))) 2.025 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.025 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.025 * [taylor]: Taking taylor expansion of 2 in n 2.025 * [backup-simplify]: Simplify 2 into 2 2.025 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.025 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.025 * [taylor]: Taking taylor expansion of n in n 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.026 * [backup-simplify]: Simplify (* 1 1) into 1 2.026 * [backup-simplify]: Simplify (* 1 1) into 1 2.026 * [backup-simplify]: Simplify (/ 1 1) into 1 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.031 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.031 * [backup-simplify]: Simplify (- 0) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify -1 into -1 2.031 * * * [progress]: simplifying candidates 2.040 * [simplify]: Simplifying: (exp (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))))) (expm1 (expm1 (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n)))))) (log1p (expm1 (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n)))))) (log (expm1 (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n)))))) (exp (expm1 (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n)))))) (* (cbrt (expm1 (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n)))))) (cbrt (expm1 (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))))))) (cbrt (expm1 (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n)))))) (* (* (expm1 (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))))) (expm1 (* (sqrt (/ (- (+ f n)) (- f 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[Phase 3 of 3] Extracting. 3.202 * * [regime]: Finding splitpoints for: (# # #) 3.204 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 3.204 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 3.217 * * * * [regimes]: Trying to branch on n from (# # #) 3.233 * * * * [regimes]: Trying to branch on f from (# # #) 3.247 * * * [regime]: Found split indices: #