0.745 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.314 * * * [progress]: [2/2] Setting up program. 0.317 * [progress]: [Phase 2 of 3] Improving. 0.320 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.320 * [simplify]: Sending expressions to egg_math: (/ (- (+ h1 h0)) (- h1 h0)) 0.323 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.324 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.327 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.328 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.329 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.331 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.332 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.333 * * [progress]: iteration 1 / 4 0.333 * * * [progress]: picking best candidate 0.335 * * * * [pick]: Picked # 0.335 * * * [progress]: localizing error 0.343 * * * [progress]: generating rewritten candidates 0.343 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.407 * * * [progress]: generating series expansions 0.407 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.412 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.412 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.413 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.413 * [taylor]: Taking taylor expansion of -1 in n 0.413 * [backup-simplify]: Simplify -1 into -1 0.413 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.413 * [taylor]: Taking taylor expansion of (+ n f) in n 0.413 * [taylor]: Taking taylor expansion of n in n 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of f in n 0.413 * [backup-simplify]: Simplify f into f 0.413 * [taylor]: Taking taylor expansion of (- f n) in n 0.413 * [taylor]: Taking taylor expansion of f in n 0.413 * [backup-simplify]: Simplify f into f 0.414 * [taylor]: Taking taylor expansion of n in n 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (+ 0 f) into f 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ f 0) into f 0.415 * [backup-simplify]: Simplify (/ f f) into 1 0.415 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.415 * [taylor]: Taking taylor expansion of -1 in f 0.415 * [backup-simplify]: Simplify -1 into -1 0.415 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.415 * [taylor]: Taking taylor expansion of (+ n f) in f 0.415 * [taylor]: Taking taylor expansion of n in f 0.415 * [backup-simplify]: Simplify n into n 0.415 * [taylor]: Taking taylor expansion of f in f 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of (- f n) in f 0.415 * [taylor]: Taking taylor expansion of f in f 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of n in f 0.415 * [backup-simplify]: Simplify n into n 0.415 * [backup-simplify]: Simplify (+ n 0) into n 0.415 * [backup-simplify]: Simplify (- n) into (- n) 0.415 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.415 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.415 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.415 * [taylor]: Taking taylor expansion of -1 in f 0.415 * [backup-simplify]: Simplify -1 into -1 0.415 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.415 * [taylor]: Taking taylor expansion of (+ n f) in f 0.415 * [taylor]: Taking taylor expansion of n in f 0.415 * [backup-simplify]: Simplify n into n 0.415 * [taylor]: Taking taylor expansion of f in f 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of (- f n) in f 0.415 * [taylor]: Taking taylor expansion of f in f 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of n in f 0.415 * [backup-simplify]: Simplify n into n 0.415 * [backup-simplify]: Simplify (+ n 0) into n 0.415 * [backup-simplify]: Simplify (- n) into (- n) 0.415 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.415 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.416 * [backup-simplify]: Simplify (* -1 -1) into 1 0.416 * [taylor]: Taking taylor expansion of 1 in n 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (+ 0 1) into 1 0.417 * [backup-simplify]: Simplify (- 0) into 0 0.417 * [backup-simplify]: Simplify (+ 1 0) into 1 0.418 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.418 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.418 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.418 * [taylor]: Taking taylor expansion of 2 in n 0.418 * [backup-simplify]: Simplify 2 into 2 0.418 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.418 * [taylor]: Taking taylor expansion of n in n 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [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 0.422 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.423 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.423 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.423 * [taylor]: Taking taylor expansion of 2 in n 0.423 * [backup-simplify]: Simplify 2 into 2 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.423 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.423 * [taylor]: Taking taylor expansion of n in n 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (* 1 1) into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 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 1)))) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 0.429 * [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))) 0.429 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.429 * [taylor]: Taking taylor expansion of 2 in n 0.429 * [backup-simplify]: Simplify 2 into 2 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.429 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.429 * [taylor]: Taking taylor expansion of n in n 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (* 1 1) into 1 0.430 * [backup-simplify]: Simplify (* 1 1) into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.435 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.435 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.435 * [taylor]: Taking taylor expansion of -1 in n 0.435 * [backup-simplify]: Simplify -1 into -1 0.435 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.435 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.435 * [taylor]: Taking taylor expansion of f in n 0.435 * [backup-simplify]: Simplify f into f 0.435 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.435 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.435 * [taylor]: Taking taylor expansion of n in n 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.436 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.436 * [taylor]: Taking taylor expansion of f in n 0.436 * [backup-simplify]: Simplify f into f 0.436 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.436 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.436 * [taylor]: Taking taylor expansion of n in n 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [backup-simplify]: Simplify (+ 0 1) into 1 0.437 * [backup-simplify]: Simplify (- 1) into -1 0.437 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.437 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.437 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.437 * [taylor]: Taking taylor expansion of -1 in f 0.437 * [backup-simplify]: Simplify -1 into -1 0.437 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.437 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.437 * [taylor]: Taking taylor expansion of f in f 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.437 * [taylor]: Taking taylor expansion of n in f 0.437 * [backup-simplify]: Simplify n into n 0.438 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.438 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.438 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.438 * [taylor]: Taking taylor expansion of f in f 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.438 * [taylor]: Taking taylor expansion of n in f 0.438 * [backup-simplify]: Simplify n into n 0.438 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.438 * [backup-simplify]: Simplify (+ 1 0) into 1 0.438 * [backup-simplify]: Simplify (+ 1 0) into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.439 * [taylor]: Taking taylor expansion of -1 in f 0.439 * [backup-simplify]: Simplify -1 into -1 0.439 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.439 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.439 * [taylor]: Taking taylor expansion of f in f 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.439 * [taylor]: Taking taylor expansion of n in f 0.439 * [backup-simplify]: Simplify n into n 0.439 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.439 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.439 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.439 * [taylor]: Taking taylor expansion of f in f 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.439 * [taylor]: Taking taylor expansion of n in f 0.439 * [backup-simplify]: Simplify n into n 0.439 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.440 * [backup-simplify]: Simplify (+ 1 0) into 1 0.440 * [backup-simplify]: Simplify (+ 1 0) into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [backup-simplify]: Simplify (* -1 1) into -1 0.441 * [taylor]: Taking taylor expansion of -1 in n 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.442 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.442 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.442 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.442 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.442 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.442 * [taylor]: Taking taylor expansion of 2 in n 0.442 * [backup-simplify]: Simplify 2 into 2 0.442 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.442 * [taylor]: Taking taylor expansion of n in n 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.446 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.446 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.446 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) 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 2)) in n 0.446 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.446 * [taylor]: Taking taylor expansion of n in n 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (* 1 1) into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.451 * [backup-simplify]: Simplify (- 0) into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.453 * [backup-simplify]: Simplify (- 0) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 0.454 * [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)))) 0.454 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.454 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.454 * [taylor]: Taking taylor expansion of 2 in n 0.454 * [backup-simplify]: Simplify 2 into 2 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.454 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.454 * [taylor]: Taking taylor expansion of n in n 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (* 1 1) into 1 0.455 * [backup-simplify]: Simplify (* 1 1) into 1 0.455 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify -1 into -1 0.460 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.460 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.461 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.461 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.461 * [taylor]: Taking taylor expansion of f in n 0.461 * [backup-simplify]: Simplify f into f 0.461 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.461 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.461 * [taylor]: Taking taylor expansion of n in n 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.461 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.461 * [taylor]: Taking taylor expansion of n in n 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.461 * [taylor]: Taking taylor expansion of f in n 0.461 * [backup-simplify]: Simplify f into f 0.461 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.462 * [backup-simplify]: Simplify (+ 0 1) into 1 0.462 * [backup-simplify]: Simplify (+ 1 0) into 1 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.462 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.462 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.462 * [taylor]: Taking taylor expansion of f in f 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.463 * [taylor]: Taking taylor expansion of n in f 0.463 * [backup-simplify]: Simplify n into n 0.463 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.463 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.463 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.463 * [taylor]: Taking taylor expansion of n in f 0.463 * [backup-simplify]: Simplify n into n 0.463 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.463 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.463 * [taylor]: Taking taylor expansion of f in f 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [backup-simplify]: Simplify (+ 1 0) into 1 0.464 * [backup-simplify]: Simplify (- 1) into -1 0.464 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.464 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.464 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.464 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.464 * [taylor]: Taking taylor expansion of f in f 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.464 * [taylor]: Taking taylor expansion of n in f 0.464 * [backup-simplify]: Simplify n into n 0.465 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.465 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.465 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.465 * [taylor]: Taking taylor expansion of n in f 0.465 * [backup-simplify]: Simplify n into n 0.465 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.465 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.465 * [taylor]: Taking taylor expansion of f in f 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [backup-simplify]: Simplify (+ 1 0) into 1 0.465 * [backup-simplify]: Simplify (- 1) into -1 0.470 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.470 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.470 * [taylor]: Taking taylor expansion of -1 in n 0.470 * [backup-simplify]: Simplify -1 into -1 0.470 * [backup-simplify]: Simplify -1 into -1 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (- 0) into 0 0.471 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.472 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.472 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.472 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.472 * [taylor]: Taking taylor expansion of 2 in n 0.472 * [backup-simplify]: Simplify 2 into 2 0.472 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.472 * [taylor]: Taking taylor expansion of n in n 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (- 0) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.475 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.476 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.476 * [taylor]: Taking taylor expansion of 2 in n 0.476 * [backup-simplify]: Simplify 2 into 2 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.476 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.476 * [taylor]: Taking taylor expansion of n in n 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (* 1 1) into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.478 * [backup-simplify]: Simplify (- 0) into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.480 * [backup-simplify]: Simplify (- 0) into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- 0) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.483 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.483 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.483 * [taylor]: Taking taylor expansion of 2 in n 0.483 * [backup-simplify]: Simplify 2 into 2 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.483 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.483 * [taylor]: Taking taylor expansion of n in n 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (* 1 1) into 1 0.483 * [backup-simplify]: Simplify (* 1 1) into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify -1 into -1 0.489 * * * [progress]: simplifying candidates 0.490 * [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 0.491 * [simplify]: Sending expressions to egg_math: (expm1 (/ (- (+ h1 h0)) (- h1 h0))) (log1p (/ (- (+ h1 h0)) (- h1 h0))) (- (log (- (+ h1 h0))) (log (- h1 h0))) (log (/ (- (+ h1 h0)) (- h1 h0))) (exp (/ (- (+ h1 h0)) (- h1 h0))) (/ (* (* (- (+ h1 h0)) (- (+ h1 h0))) (- (+ h1 h0))) (* (* (- h1 h0) (- h1 h0)) (- h1 h0))) (* (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (* (* (/ (- (+ h1 h0)) (- h1 h0)) (/ (- (+ h1 h0)) (- h1 h0))) (/ (- (+ h1 h0)) (- h1 h0))) (sqrt (/ (- (+ h1 h0)) (- h1 h0))) (sqrt (/ (- (+ h1 h0)) (- h1 h0))) (- (- (+ h1 h0))) (- (- h1 h0)) (/ 0 (- h1 h0)) (/ (+ h1 h0) (- h1 h0)) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (cbrt (- (+ h1 h0))) (cbrt (- h1 h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (sqrt (- h1 h0))) (/ (cbrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) 1) (/ (cbrt (- (+ h1 h0))) (- h1 h0)) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (+ (sqrt h1) (sqrt h0))) (/ (cbrt (- (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) 1) (/ (cbrt (- (+ h1 h0))) (- h1 h0)) (/ (sqrt (- (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (sqrt (- (+ h1 h0))) (cbrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) 1) (/ (sqrt (- (+ h1 h0))) (- h1 h0)) (/ (sqrt (- (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (sqrt (- (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (sqrt (- (+ h1 h0))) 1) (/ (sqrt (- (+ h1 h0))) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ -1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ -1 (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ -1 1) (/ (+ h1 h0) (- h1 h0)) (/ -1 (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ -1 1) (/ (+ h1 h0) (- h1 h0)) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (cbrt (+ h1 h0)) (cbrt (- h1 h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (sqrt (- h1 h0))) (/ (cbrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) 1) (/ (cbrt (+ h1 h0)) (- h1 h0)) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (+ (sqrt h1) (sqrt h0))) (/ (cbrt (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) 1) (/ (cbrt (+ h1 h0)) (- h1 h0)) (/ (- (sqrt (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (sqrt (+ h1 h0)) (cbrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) 1) (/ (sqrt (+ h1 h0)) (- h1 h0)) (/ (- (sqrt (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (sqrt (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ (- (sqrt (+ h1 h0))) 1) (/ (sqrt (+ h1 h0)) (- h1 h0)) (/ (- 1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ (- 1) (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ (- 1) (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (cbrt (+ h1 h0))) (cbrt (- h1 h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (- (cbrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) (/ (- (cbrt (+ h1 h0))) (- h1 h0)) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (- (cbrt (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) (/ (- (cbrt (+ h1 h0))) (- h1 h0)) (/ (sqrt (+ h1 h0)) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (sqrt (+ h1 h0))) (cbrt (- h1 h0))) (/ (sqrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (+ h1 h0)) 1) (/ (- (sqrt (+ h1 h0))) (- h1 h0)) (/ (sqrt (+ h1 h0)) (+ (sqrt h1) (sqrt h0))) (/ (- (sqrt (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (sqrt (+ h1 h0)) 1) (/ (- (sqrt (+ h1 h0))) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (- h1 h0)) (/ (- h1 h0) (- (+ h1 h0))) (/ (+ h1 h0) (- h1 h0)) (/ (- (+ h1 h0)) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (+ h1 h0)) 1) (/ (- (+ h1 h0)) (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) 1) (/ (- h1 h0) (cbrt (- (+ h1 h0)))) (/ (- h1 h0) (sqrt (- (+ h1 h0)))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (cbrt (+ h1 h0))) (/ (- h1 h0) (sqrt (+ h1 h0))) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (- (cbrt (+ h1 h0)))) (/ (- h1 h0) (- (sqrt (+ h1 h0)))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- (+ h1 h0)) (- (pow h1 3) (pow h0 3))) (/ (- (+ h1 h0)) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- h1 h0) (- h1 h0)) 1 -1 -1 0.495 * * [simplify]: iteration 0 : 293 enodes (cost 774 ) 0.499 * * [simplify]: iteration 1 : 927 enodes (cost 758 ) 0.513 * * [simplify]: iteration 2 : 3021 enodes (cost 743 ) 0.551 * * [simplify]: iteration 3 : 5001 enodes (cost 743 ) 0.555 * * * [progress]: adding candidates to table 0.702 * * [progress]: iteration 2 / 4 0.702 * * * [progress]: picking best candidate 0.707 * * * * [pick]: Picked # 0.708 * * * [progress]: localizing error 0.717 * * * [progress]: generating rewritten candidates 0.717 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.717 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.749 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.753 * * * [progress]: generating series expansions 0.754 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.754 * [backup-simplify]: Simplify (expm1 (/ (- (+ f n)) (- f n))) into (expm1 (* -1 (/ (+ n f) (- f n)))) 0.754 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 0.754 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 0.755 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.755 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 0.755 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.755 * [taylor]: Taking taylor expansion of -1 in n 0.755 * [backup-simplify]: Simplify -1 into -1 0.755 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.755 * [taylor]: Taking taylor expansion of (+ n f) in n 0.755 * [taylor]: Taking taylor expansion of n in n 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [taylor]: Taking taylor expansion of f in n 0.755 * [backup-simplify]: Simplify f into f 0.755 * [taylor]: Taking taylor expansion of (- f n) in n 0.755 * [taylor]: Taking taylor expansion of f in n 0.755 * [backup-simplify]: Simplify f into f 0.755 * [taylor]: Taking taylor expansion of n in n 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [backup-simplify]: Simplify (+ 0 f) into f 0.756 * [backup-simplify]: Simplify (- 0) into 0 0.756 * [backup-simplify]: Simplify (+ f 0) into f 0.756 * [backup-simplify]: Simplify (/ f f) into 1 0.756 * [backup-simplify]: Simplify (* -1 1) into -1 0.757 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.757 * [taylor]: Taking taylor expansion of 1 in n 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.757 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.757 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.757 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.757 * [taylor]: Taking taylor expansion of -1 in f 0.757 * [backup-simplify]: Simplify -1 into -1 0.757 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.757 * [taylor]: Taking taylor expansion of (+ n f) in f 0.757 * [taylor]: Taking taylor expansion of n in f 0.757 * [backup-simplify]: Simplify n into n 0.757 * [taylor]: Taking taylor expansion of f in f 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (- f n) in f 0.757 * [taylor]: Taking taylor expansion of f in f 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of n in f 0.757 * [backup-simplify]: Simplify n into n 0.757 * [backup-simplify]: Simplify (+ n 0) into n 0.757 * [backup-simplify]: Simplify (- n) into (- n) 0.757 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.757 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.757 * [backup-simplify]: Simplify (* -1 -1) into 1 0.757 * [backup-simplify]: Simplify (exp 1) into E 0.757 * [taylor]: Taking taylor expansion of 1 in f 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.758 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.758 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.758 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.758 * [taylor]: Taking taylor expansion of -1 in f 0.758 * [backup-simplify]: Simplify -1 into -1 0.758 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.758 * [taylor]: Taking taylor expansion of (+ n f) in f 0.758 * [taylor]: Taking taylor expansion of n in f 0.758 * [backup-simplify]: Simplify n into n 0.758 * [taylor]: Taking taylor expansion of f in f 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of (- f n) in f 0.758 * [taylor]: Taking taylor expansion of f in f 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of n in f 0.758 * [backup-simplify]: Simplify n into n 0.758 * [backup-simplify]: Simplify (+ n 0) into n 0.758 * [backup-simplify]: Simplify (- n) into (- n) 0.758 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.758 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.758 * [backup-simplify]: Simplify (* -1 -1) into 1 0.758 * [backup-simplify]: Simplify (exp 1) into E 0.758 * [taylor]: Taking taylor expansion of 1 in f 0.758 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (- 1) into -1 0.759 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 0.759 * [taylor]: Taking taylor expansion of (- E 1) in n 0.759 * [taylor]: Taking taylor expansion of E in n 0.759 * [backup-simplify]: Simplify E into E 0.759 * [taylor]: Taking taylor expansion of 1 in n 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (- 1) into -1 0.759 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 0.763 * [backup-simplify]: Simplify (- E 1) into (- E 1) 0.764 * [backup-simplify]: Simplify (+ 0 1) into 1 0.765 * [backup-simplify]: Simplify (- 0) into 0 0.765 * [backup-simplify]: Simplify (+ 1 0) into 1 0.765 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.765 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.766 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 0.766 * [backup-simplify]: Simplify (- 0) into 0 0.766 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 0.766 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 0.766 * [taylor]: Taking taylor expansion of 2 in n 0.766 * [backup-simplify]: Simplify 2 into 2 0.766 * [taylor]: Taking taylor expansion of (/ E n) in n 0.766 * [taylor]: Taking taylor expansion of E in n 0.766 * [backup-simplify]: Simplify E into E 0.766 * [taylor]: Taking taylor expansion of n in n 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 1 into 1 0.766 * [backup-simplify]: Simplify (/ E 1) into E 0.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify (- 0) into 0 0.768 * [backup-simplify]: Simplify (+ 0 0) into 0 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify (+ 0 0) into 0 0.768 * [backup-simplify]: Simplify (- 0) into 0 0.769 * [backup-simplify]: Simplify (+ 0 0) into 0 0.769 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.769 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.770 * [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))) 0.770 * [backup-simplify]: Simplify (- 0) into 0 0.770 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 0.770 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 0.770 * [taylor]: Taking taylor expansion of 4 in n 0.770 * [backup-simplify]: Simplify 4 into 4 0.770 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 0.770 * [taylor]: Taking taylor expansion of E in n 0.770 * [backup-simplify]: Simplify E into E 0.770 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.770 * [taylor]: Taking taylor expansion of n in n 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (* 1 1) into 1 0.771 * [backup-simplify]: Simplify (/ E 1) into E 0.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify (- 0) into 0 0.775 * [backup-simplify]: Simplify (+ 0 0) into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [backup-simplify]: Simplify (- 0) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [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)))) 0.777 * [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))) 0.777 * [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))) 0.777 * [backup-simplify]: Simplify (- 0) into 0 0.778 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 0.778 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 0.778 * [taylor]: Taking taylor expansion of 22/3 in n 0.778 * [backup-simplify]: Simplify 22/3 into 22/3 0.778 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 0.778 * [taylor]: Taking taylor expansion of E in n 0.778 * [backup-simplify]: Simplify E into E 0.778 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.778 * [taylor]: Taking taylor expansion of n in n 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [backup-simplify]: Simplify (* 1 1) into 1 0.778 * [backup-simplify]: Simplify (* 1 1) into 1 0.778 * [backup-simplify]: Simplify (/ E 1) into E 0.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify (- E 1) into (- E 1) 0.784 * [backup-simplify]: Simplify (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 0.784 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 0.784 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.784 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.784 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.784 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.784 * [taylor]: Taking taylor expansion of -1 in n 0.784 * [backup-simplify]: Simplify -1 into -1 0.784 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.784 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.784 * [taylor]: Taking taylor expansion of f in n 0.784 * [backup-simplify]: Simplify f into f 0.785 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.785 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.785 * [taylor]: Taking taylor expansion of n in n 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (/ 1 1) into 1 0.785 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.785 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.785 * [taylor]: Taking taylor expansion of f in n 0.785 * [backup-simplify]: Simplify f into f 0.785 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.785 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.785 * [taylor]: Taking taylor expansion of n in n 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (/ 1 1) into 1 0.785 * [backup-simplify]: Simplify (+ 0 1) into 1 0.786 * [backup-simplify]: Simplify (- 1) into -1 0.786 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.786 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.786 * [backup-simplify]: Simplify (* -1 -1) into 1 0.786 * [backup-simplify]: Simplify (exp 1) into E 0.786 * [taylor]: Taking taylor expansion of 1 in n 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.787 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.787 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.787 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.787 * [taylor]: Taking taylor expansion of -1 in f 0.787 * [backup-simplify]: Simplify -1 into -1 0.787 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.787 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.787 * [taylor]: Taking taylor expansion of f in f 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (/ 1 1) into 1 0.787 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.787 * [taylor]: Taking taylor expansion of n in f 0.787 * [backup-simplify]: Simplify n into n 0.787 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.787 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.787 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.787 * [taylor]: Taking taylor expansion of f in f 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (/ 1 1) into 1 0.787 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.787 * [taylor]: Taking taylor expansion of n in f 0.787 * [backup-simplify]: Simplify n into n 0.787 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.788 * [backup-simplify]: Simplify (+ 1 0) into 1 0.788 * [backup-simplify]: Simplify (+ 1 0) into 1 0.788 * [backup-simplify]: Simplify (/ 1 1) into 1 0.788 * [backup-simplify]: Simplify (* -1 1) into -1 0.789 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.789 * [taylor]: Taking taylor expansion of 1 in f 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.789 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.789 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.789 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.789 * [taylor]: Taking taylor expansion of -1 in f 0.789 * [backup-simplify]: Simplify -1 into -1 0.789 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.789 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.789 * [taylor]: Taking taylor expansion of f in f 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [backup-simplify]: Simplify (/ 1 1) into 1 0.789 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.789 * [taylor]: Taking taylor expansion of n in f 0.789 * [backup-simplify]: Simplify n into n 0.789 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.789 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.789 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.789 * [taylor]: Taking taylor expansion of f in f 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (/ 1 1) into 1 0.790 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.790 * [taylor]: Taking taylor expansion of n in f 0.790 * [backup-simplify]: Simplify n into n 0.790 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.790 * [backup-simplify]: Simplify (+ 1 0) into 1 0.790 * [backup-simplify]: Simplify (+ 1 0) into 1 0.790 * [backup-simplify]: Simplify (/ 1 1) into 1 0.791 * [backup-simplify]: Simplify (* -1 1) into -1 0.791 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.791 * [taylor]: Taking taylor expansion of 1 in f 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (- 1) into -1 0.792 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.792 * [taylor]: Taking taylor expansion of (- (exp -1) 1) 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 1 in n 0.792 * [backup-simplify]: Simplify 1 into 1 0.792 * [backup-simplify]: Simplify (- 1) into -1 0.793 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.793 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 0.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.794 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.795 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.795 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.795 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 0.795 * [backup-simplify]: Simplify (- 0) into 0 0.796 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 0.796 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 0.796 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 0.796 * [taylor]: Taking taylor expansion of 2 in n 0.796 * [backup-simplify]: Simplify 2 into 2 0.796 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 0.796 * [taylor]: Taking taylor expansion of (exp -1) in n 0.796 * [taylor]: Taking taylor expansion of -1 in n 0.796 * [backup-simplify]: Simplify -1 into -1 0.796 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.796 * [taylor]: Taking taylor expansion of n in n 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 0.797 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 0.799 * [backup-simplify]: Simplify (- 0) into 0 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.799 * [backup-simplify]: Simplify (- 0) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.801 * [backup-simplify]: Simplify (- 0) into 0 0.801 * [backup-simplify]: Simplify (+ 0 0) into 0 0.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.803 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.803 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 0.803 * [backup-simplify]: Simplify (- 0) into 0 0.804 * [backup-simplify]: Simplify (+ 0 0) into 0 0.804 * [taylor]: Taking taylor expansion of 0 in n 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 0.806 * [backup-simplify]: Simplify (- 0) into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.807 * [backup-simplify]: Simplify (- 0) into 0 0.807 * [backup-simplify]: Simplify (+ 0 0) into 0 0.807 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.808 * [backup-simplify]: Simplify (+ 0 0) into 0 0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.809 * [backup-simplify]: Simplify (- 0) into 0 0.809 * [backup-simplify]: Simplify (+ 0 0) into 0 0.810 * [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))) 0.811 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.812 * [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))) 0.812 * [backup-simplify]: Simplify (- 0) into 0 0.812 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 0.812 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 0.812 * [taylor]: Taking taylor expansion of 2/3 in n 0.812 * [backup-simplify]: Simplify 2/3 into 2/3 0.812 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 0.813 * [taylor]: Taking taylor expansion of (exp -1) in n 0.813 * [taylor]: Taking taylor expansion of -1 in n 0.813 * [backup-simplify]: Simplify -1 into -1 0.813 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.813 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.813 * [taylor]: Taking taylor expansion of n in n 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify (* 1 1) into 1 0.813 * [backup-simplify]: Simplify (* 1 1) into 1 0.814 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 0.815 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 0.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.820 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 0.823 * [backup-simplify]: Simplify (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 0.823 * [approximate]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 0.823 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.823 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.823 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.823 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.823 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.823 * [taylor]: Taking taylor expansion of f in n 0.823 * [backup-simplify]: Simplify f into f 0.823 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.823 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.823 * [taylor]: Taking taylor expansion of n in n 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 1 into 1 0.823 * [backup-simplify]: Simplify (/ 1 1) into 1 0.823 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.824 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.824 * [taylor]: Taking taylor expansion of n in n 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (/ 1 1) into 1 0.824 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.824 * [taylor]: Taking taylor expansion of f in n 0.824 * [backup-simplify]: Simplify f into f 0.824 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.824 * [backup-simplify]: Simplify (+ 0 1) into 1 0.824 * [backup-simplify]: Simplify (+ 1 0) into 1 0.825 * [backup-simplify]: Simplify (/ 1 1) into 1 0.825 * [backup-simplify]: Simplify (exp 1) into E 0.825 * [taylor]: Taking taylor expansion of 1 in n 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.825 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.825 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.825 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.825 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.825 * [taylor]: Taking taylor expansion of f in f 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (/ 1 1) into 1 0.825 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.825 * [taylor]: Taking taylor expansion of n in f 0.825 * [backup-simplify]: Simplify n into n 0.825 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.825 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.825 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.825 * [taylor]: Taking taylor expansion of n in f 0.825 * [backup-simplify]: Simplify n into n 0.825 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.825 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.825 * [taylor]: Taking taylor expansion of f in f 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (/ 1 1) into 1 0.826 * [backup-simplify]: Simplify (+ 1 0) into 1 0.826 * [backup-simplify]: Simplify (- 1) into -1 0.826 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.827 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.827 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.827 * [taylor]: Taking taylor expansion of 1 in f 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.827 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.827 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.827 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.827 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.827 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.827 * [taylor]: Taking taylor expansion of f in f 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (/ 1 1) into 1 0.827 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.827 * [taylor]: Taking taylor expansion of n in f 0.827 * [backup-simplify]: Simplify n into n 0.827 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.827 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.827 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.827 * [taylor]: Taking taylor expansion of n in f 0.827 * [backup-simplify]: Simplify n into n 0.827 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.827 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.827 * [taylor]: Taking taylor expansion of f in f 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (/ 1 1) into 1 0.828 * [backup-simplify]: Simplify (+ 1 0) into 1 0.828 * [backup-simplify]: Simplify (- 1) into -1 0.828 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.829 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.829 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.829 * [taylor]: Taking taylor expansion of 1 in f 0.829 * [backup-simplify]: Simplify 1 into 1 0.829 * [backup-simplify]: Simplify (- 1) into -1 0.830 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.830 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 0.830 * [taylor]: Taking taylor expansion of (exp -1) in n 0.830 * [taylor]: Taking taylor expansion of -1 in n 0.830 * [backup-simplify]: Simplify -1 into -1 0.830 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.830 * [taylor]: Taking taylor expansion of 1 in n 0.830 * [backup-simplify]: Simplify 1 into 1 0.830 * [backup-simplify]: Simplify (- 1) into -1 0.831 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.831 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (- 0) into 0 0.832 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.833 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.833 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 0.833 * [backup-simplify]: Simplify (- 0) into 0 0.833 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 0.833 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 0.834 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 0.834 * [taylor]: Taking taylor expansion of 2 in n 0.834 * [backup-simplify]: Simplify 2 into 2 0.834 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 0.834 * [taylor]: Taking taylor expansion of (exp -1) in n 0.834 * [taylor]: Taking taylor expansion of -1 in n 0.834 * [backup-simplify]: Simplify -1 into -1 0.834 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.834 * [taylor]: Taking taylor expansion of n in n 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 1 into 1 0.834 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 0.835 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 0.836 * [backup-simplify]: Simplify (- 0) into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.837 * [backup-simplify]: Simplify (- 0) into 0 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.837 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.838 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify (- 0) into 0 0.839 * [backup-simplify]: Simplify (+ 0 0) into 0 0.840 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.840 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 0.841 * [backup-simplify]: Simplify (- 0) into 0 0.841 * [backup-simplify]: Simplify (+ 0 0) into 0 0.841 * [taylor]: Taking taylor expansion of 0 in n 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 0.843 * [backup-simplify]: Simplify (- 0) into 0 0.843 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.844 * [backup-simplify]: Simplify (- 0) into 0 0.845 * [backup-simplify]: Simplify (+ 0 0) into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.846 * [backup-simplify]: Simplify (+ 0 0) into 0 0.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (- 0) into 0 0.847 * [backup-simplify]: Simplify (+ 0 0) into 0 0.848 * [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)))) 0.849 * [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))) 0.849 * [backup-simplify]: Simplify (- 0) into 0 0.849 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 0.849 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 0.849 * [taylor]: Taking taylor expansion of 2/3 in n 0.849 * [backup-simplify]: Simplify 2/3 into 2/3 0.849 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 0.849 * [taylor]: Taking taylor expansion of (exp -1) in n 0.849 * [taylor]: Taking taylor expansion of -1 in n 0.849 * [backup-simplify]: Simplify -1 into -1 0.850 * [backup-simplify]: Simplify (exp -1) into (exp -1) 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 0.850 * [backup-simplify]: Simplify (* 1 1) into 1 0.850 * [backup-simplify]: Simplify (* 1 1) into 1 0.851 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 0.852 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.853 * [backup-simplify]: Simplify (+ (* 1 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.862 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.864 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 0.864 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 0.865 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.865 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.865 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.865 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.865 * [taylor]: Taking taylor expansion of -1 in n 0.865 * [backup-simplify]: Simplify -1 into -1 0.865 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.865 * [taylor]: Taking taylor expansion of (+ n f) in n 0.865 * [taylor]: Taking taylor expansion of n in n 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.865 * [taylor]: Taking taylor expansion of f in n 0.865 * [backup-simplify]: Simplify f into f 0.865 * [taylor]: Taking taylor expansion of (- f n) in n 0.865 * [taylor]: Taking taylor expansion of f in n 0.865 * [backup-simplify]: Simplify f into f 0.865 * [taylor]: Taking taylor expansion of n in n 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.865 * [backup-simplify]: Simplify (+ 0 f) into f 0.866 * [backup-simplify]: Simplify (- 0) into 0 0.866 * [backup-simplify]: Simplify (+ f 0) into f 0.866 * [backup-simplify]: Simplify (/ f f) into 1 0.866 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.866 * [taylor]: Taking taylor expansion of -1 in f 0.866 * [backup-simplify]: Simplify -1 into -1 0.866 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.866 * [taylor]: Taking taylor expansion of (+ n f) in f 0.866 * [taylor]: Taking taylor expansion of n in f 0.866 * [backup-simplify]: Simplify n into n 0.866 * [taylor]: Taking taylor expansion of f in f 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [taylor]: Taking taylor expansion of (- f n) in f 0.866 * [taylor]: Taking taylor expansion of f in f 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [taylor]: Taking taylor expansion of n in f 0.866 * [backup-simplify]: Simplify n into n 0.866 * [backup-simplify]: Simplify (+ n 0) into n 0.866 * [backup-simplify]: Simplify (- n) into (- n) 0.866 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.866 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.866 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.866 * [taylor]: Taking taylor expansion of -1 in f 0.866 * [backup-simplify]: Simplify -1 into -1 0.866 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.866 * [taylor]: Taking taylor expansion of (+ n f) in f 0.866 * [taylor]: Taking taylor expansion of n in f 0.866 * [backup-simplify]: Simplify n into n 0.866 * [taylor]: Taking taylor expansion of f in f 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [taylor]: Taking taylor expansion of (- f n) in f 0.866 * [taylor]: Taking taylor expansion of f in f 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [taylor]: Taking taylor expansion of n in f 0.866 * [backup-simplify]: Simplify n into n 0.866 * [backup-simplify]: Simplify (+ n 0) into n 0.866 * [backup-simplify]: Simplify (- n) into (- n) 0.866 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.867 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.867 * [backup-simplify]: Simplify (* -1 -1) into 1 0.867 * [taylor]: Taking taylor expansion of 1 in n 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (+ 0 1) into 1 0.867 * [backup-simplify]: Simplify (- 0) into 0 0.868 * [backup-simplify]: Simplify (+ 1 0) into 1 0.868 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.868 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.868 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.868 * [taylor]: Taking taylor expansion of 2 in n 0.868 * [backup-simplify]: Simplify 2 into 2 0.868 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.868 * [taylor]: Taking taylor expansion of n in n 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.868 * [backup-simplify]: Simplify (/ 1 1) into 1 0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.869 * [backup-simplify]: Simplify (+ (* 2 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 (+ 0 0) into 0 0.870 * [backup-simplify]: Simplify (- 0) into 0 0.870 * [backup-simplify]: Simplify (+ 0 0) into 0 0.870 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.871 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.871 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.871 * [taylor]: Taking taylor expansion of 2 in n 0.871 * [backup-simplify]: Simplify 2 into 2 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.871 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.871 * [taylor]: Taking taylor expansion of n in n 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 1 into 1 0.871 * [backup-simplify]: Simplify (* 1 1) into 1 0.871 * [backup-simplify]: Simplify (/ 1 1) into 1 0.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.874 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify (+ 0 0) into 0 0.875 * [backup-simplify]: Simplify (- 0) into 0 0.876 * [backup-simplify]: Simplify (+ 0 0) into 0 0.876 * [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)))) 0.877 * [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))) 0.877 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.877 * [taylor]: Taking taylor expansion of 2 in n 0.877 * [backup-simplify]: Simplify 2 into 2 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.877 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.877 * [taylor]: Taking taylor expansion of n in n 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 1 into 1 0.877 * [backup-simplify]: Simplify (* 1 1) into 1 0.877 * [backup-simplify]: Simplify (* 1 1) into 1 0.878 * [backup-simplify]: Simplify (/ 1 1) into 1 0.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.883 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.883 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.883 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.883 * [taylor]: Taking taylor expansion of -1 in n 0.883 * [backup-simplify]: Simplify -1 into -1 0.883 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.883 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.883 * [taylor]: Taking taylor expansion of f in n 0.883 * [backup-simplify]: Simplify f into f 0.883 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.883 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.883 * [taylor]: Taking taylor expansion of n in n 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.883 * [backup-simplify]: Simplify (/ 1 1) into 1 0.883 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.883 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.883 * [taylor]: Taking taylor expansion of f in n 0.883 * [backup-simplify]: Simplify f into f 0.883 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.883 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.883 * [taylor]: Taking taylor expansion of n in n 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.883 * [backup-simplify]: Simplify (/ 1 1) into 1 0.884 * [backup-simplify]: Simplify (+ 0 1) into 1 0.884 * [backup-simplify]: Simplify (- 1) into -1 0.884 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.884 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.884 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.884 * [taylor]: Taking taylor expansion of -1 in f 0.884 * [backup-simplify]: Simplify -1 into -1 0.884 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.884 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.884 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.885 * [taylor]: Taking taylor expansion of f in f 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 1 into 1 0.885 * [backup-simplify]: Simplify (/ 1 1) into 1 0.885 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.885 * [taylor]: Taking taylor expansion of n in f 0.885 * [backup-simplify]: Simplify n into n 0.885 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.885 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.885 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.885 * [taylor]: Taking taylor expansion of f in f 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 1 into 1 0.885 * [backup-simplify]: Simplify (/ 1 1) into 1 0.885 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.885 * [taylor]: Taking taylor expansion of n in f 0.885 * [backup-simplify]: Simplify n into n 0.885 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.885 * [backup-simplify]: Simplify (+ 1 0) into 1 0.886 * [backup-simplify]: Simplify (+ 1 0) into 1 0.886 * [backup-simplify]: Simplify (/ 1 1) into 1 0.886 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.886 * [taylor]: Taking taylor expansion of -1 in f 0.886 * [backup-simplify]: Simplify -1 into -1 0.886 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.886 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.886 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.886 * [taylor]: Taking taylor expansion of f in f 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [backup-simplify]: Simplify (/ 1 1) into 1 0.886 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.886 * [taylor]: Taking taylor expansion of n in f 0.886 * [backup-simplify]: Simplify n into n 0.886 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.886 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.886 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.886 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.887 * [taylor]: Taking taylor expansion of n in f 0.887 * [backup-simplify]: Simplify n into n 0.887 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.887 * [backup-simplify]: Simplify (+ 1 0) into 1 0.887 * [backup-simplify]: Simplify (+ 1 0) into 1 0.887 * [backup-simplify]: Simplify (/ 1 1) into 1 0.888 * [backup-simplify]: Simplify (* -1 1) into -1 0.888 * [taylor]: Taking taylor expansion of -1 in n 0.888 * [backup-simplify]: Simplify -1 into -1 0.888 * [backup-simplify]: Simplify -1 into -1 0.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.888 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.889 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.889 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.889 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.889 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.889 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.889 * [taylor]: Taking taylor expansion of 2 in n 0.889 * [backup-simplify]: Simplify 2 into 2 0.889 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.889 * [taylor]: Taking taylor expansion of n in n 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify (/ 1 1) into 1 0.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.891 * [backup-simplify]: Simplify (- 0) into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.892 * [backup-simplify]: Simplify (+ 0 0) into 0 0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.892 * [backup-simplify]: Simplify (- 0) into 0 0.893 * [backup-simplify]: Simplify (+ 0 0) into 0 0.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.894 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.894 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.894 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.894 * [taylor]: Taking taylor expansion of 2 in n 0.894 * [backup-simplify]: Simplify 2 into 2 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.894 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.894 * [taylor]: Taking taylor expansion of n in n 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify (* 1 1) into 1 0.894 * [backup-simplify]: Simplify (/ 1 1) into 1 0.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.897 * [backup-simplify]: Simplify (- 0) into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.898 * [backup-simplify]: Simplify (- 0) into 0 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.899 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.900 * [backup-simplify]: Simplify (- 0) into 0 0.900 * [backup-simplify]: Simplify (+ 0 0) into 0 0.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 0.901 * [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)))) 0.901 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.901 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.901 * [taylor]: Taking taylor expansion of 2 in n 0.901 * [backup-simplify]: Simplify 2 into 2 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.902 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.902 * [taylor]: Taking taylor expansion of n in n 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [backup-simplify]: Simplify (* 1 1) into 1 0.902 * [backup-simplify]: Simplify (* 1 1) into 1 0.902 * [backup-simplify]: Simplify (/ 1 1) into 1 0.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (- 0) into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify -1 into -1 0.908 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.908 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.908 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.908 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.908 * [taylor]: Taking taylor expansion of f in n 0.908 * [backup-simplify]: Simplify f into f 0.908 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.908 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.908 * [taylor]: Taking taylor expansion of n in n 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (/ 1 1) into 1 0.908 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.908 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.908 * [taylor]: Taking taylor expansion of n in n 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (/ 1 1) into 1 0.908 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.908 * [taylor]: Taking taylor expansion of f in n 0.908 * [backup-simplify]: Simplify f into f 0.908 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.909 * [backup-simplify]: Simplify (+ 0 1) into 1 0.909 * [backup-simplify]: Simplify (+ 1 0) into 1 0.909 * [backup-simplify]: Simplify (/ 1 1) into 1 0.909 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.909 * [taylor]: Taking taylor expansion of (/ 1 f) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.909 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.909 * [taylor]: Taking taylor expansion of n in f 0.909 * [backup-simplify]: Simplify n into n 0.909 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.909 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.910 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.910 * [taylor]: Taking taylor expansion of n in f 0.910 * [backup-simplify]: Simplify n into n 0.910 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.910 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.910 * [taylor]: Taking taylor expansion of f in f 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (/ 1 1) into 1 0.910 * [backup-simplify]: Simplify (+ 1 0) into 1 0.910 * [backup-simplify]: Simplify (- 1) into -1 0.911 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.911 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.911 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.911 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.911 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.911 * [taylor]: Taking taylor expansion of f in f 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 1 into 1 0.911 * [backup-simplify]: Simplify (/ 1 1) into 1 0.911 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.911 * [taylor]: Taking taylor expansion of n in f 0.911 * [backup-simplify]: Simplify n into n 0.911 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.911 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.911 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.911 * [taylor]: Taking taylor expansion of n in f 0.911 * [backup-simplify]: Simplify n into n 0.911 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.911 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.911 * [taylor]: Taking taylor expansion of f in f 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 1 into 1 0.912 * [backup-simplify]: Simplify (/ 1 1) into 1 0.912 * [backup-simplify]: Simplify (+ 1 0) into 1 0.912 * [backup-simplify]: Simplify (- 1) into -1 0.912 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.913 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.913 * [taylor]: Taking taylor expansion of -1 in n 0.913 * [backup-simplify]: Simplify -1 into -1 0.913 * [backup-simplify]: Simplify -1 into -1 0.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (- 0) into 0 0.914 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.914 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.914 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.914 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.914 * [taylor]: Taking taylor expansion of 2 in n 0.914 * [backup-simplify]: Simplify 2 into 2 0.914 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.914 * [taylor]: Taking taylor expansion of n in n 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [backup-simplify]: Simplify (/ 1 1) into 1 0.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.915 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.915 * [backup-simplify]: Simplify (- 0) into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.916 * [backup-simplify]: Simplify (+ 0 0) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (- 0) into 0 0.917 * [backup-simplify]: Simplify (+ 0 0) into 0 0.918 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.918 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.918 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.918 * [taylor]: Taking taylor expansion of 2 in n 0.918 * [backup-simplify]: Simplify 2 into 2 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.918 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.918 * [taylor]: Taking taylor expansion of n in n 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.918 * [backup-simplify]: Simplify (* 1 1) into 1 0.918 * [backup-simplify]: Simplify (/ 1 1) into 1 0.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.921 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.921 * [backup-simplify]: Simplify (- 0) into 0 0.921 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.922 * [backup-simplify]: Simplify (- 0) into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.923 * [backup-simplify]: Simplify (+ 0 0) into 0 0.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (- 0) into 0 0.924 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [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)))) 0.925 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.925 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.925 * [taylor]: Taking taylor expansion of 2 in n 0.926 * [backup-simplify]: Simplify 2 into 2 0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.926 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.926 * [taylor]: Taking taylor expansion of n in n 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 1 into 1 0.926 * [backup-simplify]: Simplify (* 1 1) into 1 0.926 * [backup-simplify]: Simplify (* 1 1) into 1 0.926 * [backup-simplify]: Simplify (/ 1 1) into 1 0.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.931 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.931 * [backup-simplify]: Simplify (- 0) into 0 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify -1 into -1 0.931 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.931 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (+ f n)) (- f n)))) into (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) 0.931 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 0.931 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in n 0.932 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 0.932 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in n 0.932 * [taylor]: Taking taylor expansion of 1 in n 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 0.932 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.932 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 0.932 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.932 * [taylor]: Taking taylor expansion of -1 in n 0.932 * [backup-simplify]: Simplify -1 into -1 0.932 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.932 * [taylor]: Taking taylor expansion of (+ n f) in n 0.932 * [taylor]: Taking taylor expansion of n in n 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [taylor]: Taking taylor expansion of f in n 0.932 * [backup-simplify]: Simplify f into f 0.932 * [taylor]: Taking taylor expansion of (- f n) in n 0.932 * [taylor]: Taking taylor expansion of f in n 0.932 * [backup-simplify]: Simplify f into f 0.932 * [taylor]: Taking taylor expansion of n in n 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [backup-simplify]: Simplify (+ 0 f) into f 0.932 * [backup-simplify]: Simplify (- 0) into 0 0.932 * [backup-simplify]: Simplify (+ f 0) into f 0.932 * [backup-simplify]: Simplify (/ f f) into 1 0.933 * [backup-simplify]: Simplify (* -1 1) into -1 0.933 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.933 * [taylor]: Taking taylor expansion of 1 in n 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [backup-simplify]: Simplify (- 1) into -1 0.934 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.934 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 0.935 * [backup-simplify]: Simplify (log (exp -1)) into -1 0.935 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.935 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 0.935 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.935 * [taylor]: Taking taylor expansion of 1 in f 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.935 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.935 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.935 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.935 * [taylor]: Taking taylor expansion of -1 in f 0.935 * [backup-simplify]: Simplify -1 into -1 0.935 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.935 * [taylor]: Taking taylor expansion of (+ n f) in f 0.935 * [taylor]: Taking taylor expansion of n in f 0.935 * [backup-simplify]: Simplify n into n 0.935 * [taylor]: Taking taylor expansion of f in f 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [taylor]: Taking taylor expansion of (- f n) in f 0.935 * [taylor]: Taking taylor expansion of f in f 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [taylor]: Taking taylor expansion of n in f 0.935 * [backup-simplify]: Simplify n into n 0.936 * [backup-simplify]: Simplify (+ n 0) into n 0.936 * [backup-simplify]: Simplify (- n) into (- n) 0.936 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.936 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.936 * [backup-simplify]: Simplify (* -1 -1) into 1 0.936 * [backup-simplify]: Simplify (exp 1) into E 0.936 * [taylor]: Taking taylor expansion of 1 in f 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [backup-simplify]: Simplify (- 1) into -1 0.936 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 0.937 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 0.937 * [backup-simplify]: Simplify (log E) into 1 0.937 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.937 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 0.937 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.937 * [taylor]: Taking taylor expansion of 1 in f 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.937 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.937 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.937 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.937 * [taylor]: Taking taylor expansion of -1 in f 0.937 * [backup-simplify]: Simplify -1 into -1 0.937 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.937 * [taylor]: Taking taylor expansion of (+ n f) in f 0.937 * [taylor]: Taking taylor expansion of n in f 0.937 * [backup-simplify]: Simplify n into n 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 * [taylor]: Taking taylor expansion of (- f n) 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 * [taylor]: Taking taylor expansion of n in f 0.938 * [backup-simplify]: Simplify n into n 0.938 * [backup-simplify]: Simplify (+ n 0) into n 0.938 * [backup-simplify]: Simplify (- n) into (- n) 0.938 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.938 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.938 * [backup-simplify]: Simplify (* -1 -1) into 1 0.938 * [backup-simplify]: Simplify (exp 1) into E 0.938 * [taylor]: Taking taylor expansion of 1 in f 0.938 * [backup-simplify]: Simplify 1 into 1 0.938 * [backup-simplify]: Simplify (- 1) into -1 0.938 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 0.939 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 0.939 * [backup-simplify]: Simplify (log E) into 1 0.939 * [taylor]: Taking taylor expansion of 1 in n 0.939 * [backup-simplify]: Simplify 1 into 1 0.939 * [backup-simplify]: Simplify 1 into 1 0.940 * [backup-simplify]: Simplify (+ 0 1) into 1 0.940 * [backup-simplify]: Simplify (- 0) into 0 0.940 * [backup-simplify]: Simplify (+ 1 0) into 1 0.940 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.941 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.941 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 0.941 * [backup-simplify]: Simplify (- 0) into 0 0.941 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 0.941 * [backup-simplify]: Simplify (+ 0 (* 2 (/ E n))) into (* 2 (/ E n)) 0.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ E n))) 1)) (pow E 1)))) 1) into (/ 2 n) 0.942 * [taylor]: Taking taylor expansion of (/ 2 n) in n 0.942 * [taylor]: Taking taylor expansion of 2 in n 0.942 * [backup-simplify]: Simplify 2 into 2 0.942 * [taylor]: Taking taylor expansion of n in n 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.942 * [backup-simplify]: Simplify (/ 2 1) into 2 0.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify (+ 0 0) into 0 0.943 * [backup-simplify]: Simplify (- 0) into 0 0.944 * [backup-simplify]: Simplify (+ 0 0) into 0 0.944 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.944 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.945 * [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))) 0.945 * [backup-simplify]: Simplify (- 0) into 0 0.945 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 0.945 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 0.946 * [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)) 0.946 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 0.946 * [taylor]: Taking taylor expansion of 2 in n 0.946 * [backup-simplify]: Simplify 2 into 2 0.946 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.946 * [taylor]: Taking taylor expansion of n in n 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 1 into 1 0.947 * [backup-simplify]: Simplify (* 1 1) into 1 0.947 * [backup-simplify]: Simplify (/ 2 1) into 2 0.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify (+ 0 0) into 0 0.950 * [backup-simplify]: Simplify (- 0) into 0 0.950 * [backup-simplify]: Simplify (+ 0 0) into 0 0.950 * [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)))) 0.951 * [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))) 0.951 * [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))) 0.952 * [backup-simplify]: Simplify (- 0) into 0 0.952 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 0.952 * [backup-simplify]: Simplify (+ 0 (* 22/3 (/ E (pow n 3)))) into (* 22/3 (/ E (pow n 3))) 0.959 * [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)) 0.959 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 0.959 * [taylor]: Taking taylor expansion of 2 in n 0.959 * [backup-simplify]: Simplify 2 into 2 0.959 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.959 * [taylor]: Taking taylor expansion of n in n 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (* 1 1) into 1 0.959 * [backup-simplify]: Simplify (* 1 1) into 1 0.960 * [backup-simplify]: Simplify (/ 2 1) into 2 0.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [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)))))) 0.964 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 0.964 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 0.964 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 0.964 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 0.964 * [taylor]: Taking taylor expansion of 1 in n 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.965 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.965 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.965 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.965 * [taylor]: Taking taylor expansion of -1 in n 0.965 * [backup-simplify]: Simplify -1 into -1 0.965 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.965 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.965 * [taylor]: Taking taylor expansion of f in n 0.965 * [backup-simplify]: Simplify f into f 0.965 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.965 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.965 * [taylor]: Taking taylor expansion of n in n 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [backup-simplify]: Simplify (/ 1 1) into 1 0.965 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.965 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.965 * [taylor]: Taking taylor expansion of f in n 0.965 * [backup-simplify]: Simplify f into f 0.965 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.965 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.965 * [taylor]: Taking taylor expansion of n in n 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [backup-simplify]: Simplify (/ 1 1) into 1 0.966 * [backup-simplify]: Simplify (+ 0 1) into 1 0.966 * [backup-simplify]: Simplify (- 1) into -1 0.966 * [backup-simplify]: Simplify (+ 0 -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 (exp 1) into E 0.967 * [taylor]: Taking taylor expansion of 1 in n 0.967 * [backup-simplify]: Simplify 1 into 1 0.967 * [backup-simplify]: Simplify (- 1) into -1 0.967 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 0.968 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 0.968 * [backup-simplify]: Simplify (log E) into 1 0.968 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.968 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 0.968 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.968 * [taylor]: Taking taylor expansion of 1 in f 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.968 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.968 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.968 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.968 * [taylor]: Taking taylor expansion of -1 in f 0.968 * [backup-simplify]: Simplify -1 into -1 0.968 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.968 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.968 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.968 * [taylor]: Taking taylor expansion of f in f 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (/ 1 1) into 1 0.969 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.969 * [taylor]: Taking taylor expansion of n in f 0.969 * [backup-simplify]: Simplify n into n 0.969 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.969 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.969 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.969 * [taylor]: Taking taylor expansion of f in f 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (/ 1 1) into 1 0.969 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.969 * [taylor]: Taking taylor expansion of n in f 0.969 * [backup-simplify]: Simplify n into n 0.969 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.969 * [backup-simplify]: Simplify (+ 1 0) into 1 0.970 * [backup-simplify]: Simplify (+ 1 0) into 1 0.970 * [backup-simplify]: Simplify (/ 1 1) into 1 0.970 * [backup-simplify]: Simplify (* -1 1) into -1 0.970 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.970 * [taylor]: Taking taylor expansion of 1 in f 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [backup-simplify]: Simplify (- 1) into -1 0.971 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.972 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 0.972 * [backup-simplify]: Simplify (log (exp -1)) into -1 0.972 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.972 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 0.972 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.972 * [taylor]: Taking taylor expansion of 1 in f 0.972 * [backup-simplify]: Simplify 1 into 1 0.972 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.973 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.973 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.973 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.973 * [taylor]: Taking taylor expansion of -1 in f 0.973 * [backup-simplify]: Simplify -1 into -1 0.973 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.973 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.973 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.973 * [taylor]: Taking taylor expansion of f in f 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify (/ 1 1) into 1 0.973 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.973 * [taylor]: Taking taylor expansion of n in f 0.973 * [backup-simplify]: Simplify n into n 0.973 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.973 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.973 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.973 * [taylor]: Taking taylor expansion of f in f 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify (/ 1 1) into 1 0.973 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.973 * [taylor]: Taking taylor expansion of n in f 0.973 * [backup-simplify]: Simplify n into n 0.973 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.974 * [backup-simplify]: Simplify (+ 1 0) into 1 0.974 * [backup-simplify]: Simplify (+ 1 0) into 1 0.974 * [backup-simplify]: Simplify (/ 1 1) into 1 0.975 * [backup-simplify]: Simplify (* -1 1) into -1 0.975 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.975 * [taylor]: Taking taylor expansion of 1 in f 0.975 * [backup-simplify]: Simplify 1 into 1 0.975 * [backup-simplify]: Simplify (- 1) into -1 0.975 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.976 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 0.977 * [backup-simplify]: Simplify (log (exp -1)) into -1 0.977 * [taylor]: Taking taylor expansion of -1 in n 0.977 * [backup-simplify]: Simplify -1 into -1 0.977 * [backup-simplify]: Simplify -1 into -1 0.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.977 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.978 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.978 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.978 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.978 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.979 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 0.979 * [backup-simplify]: Simplify (- 0) into 0 0.979 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 0.980 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 0.981 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 0.981 * [taylor]: Taking taylor expansion of (/ -2 n) in n 0.981 * [taylor]: Taking taylor expansion of -2 in n 0.981 * [backup-simplify]: Simplify -2 into -2 0.981 * [taylor]: Taking taylor expansion of n in n 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (/ -2 1) into -2 0.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.982 * [backup-simplify]: Simplify (+ 0 0) into 0 0.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.983 * [backup-simplify]: Simplify (- 0) into 0 0.983 * [backup-simplify]: Simplify (+ 0 0) into 0 0.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.984 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.985 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 0.985 * [backup-simplify]: Simplify (- 0) into 0 0.985 * [backup-simplify]: Simplify (+ 0 0) into 0 0.986 * [backup-simplify]: Simplify (+ 0 0) into 0 0.987 * [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)) 0.987 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 0.987 * [taylor]: Taking taylor expansion of -2 in n 0.987 * [backup-simplify]: Simplify -2 into -2 0.987 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.987 * [taylor]: Taking taylor expansion of n in n 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 1 into 1 0.988 * [backup-simplify]: Simplify (* 1 1) into 1 0.988 * [backup-simplify]: Simplify (/ -2 1) into -2 0.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 0.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.991 * [backup-simplify]: Simplify (+ 0 0) into 0 0.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.992 * [backup-simplify]: Simplify (- 0) into 0 0.992 * [backup-simplify]: Simplify (+ 0 0) into 0 0.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 0.994 * [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)))) 0.995 * [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))) 0.995 * [backup-simplify]: Simplify (- 0) into 0 0.995 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 0.996 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 0.999 * [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)) 0.999 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 0.999 * [taylor]: Taking taylor expansion of -2 in n 0.999 * [backup-simplify]: Simplify -2 into -2 0.999 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.999 * [taylor]: Taking taylor expansion of n in n 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 0.999 * [backup-simplify]: Simplify (* 1 1) into 1 0.999 * [backup-simplify]: Simplify (* 1 1) into 1 1.000 * [backup-simplify]: Simplify (/ -2 1) into -2 1.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify -1 into -1 1.004 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1.004 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 1.004 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 1.004 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 1.004 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 1.004 * [taylor]: Taking taylor expansion of 1 in n 1.004 * [backup-simplify]: Simplify 1 into 1 1.004 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.004 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.004 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.004 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.004 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.004 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.004 * [taylor]: Taking taylor expansion of f in n 1.004 * [backup-simplify]: Simplify f into f 1.004 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.004 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.004 * [taylor]: Taking taylor expansion of n in n 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (/ 1 1) into 1 1.005 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.005 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.005 * [taylor]: Taking taylor expansion of n in n 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (/ 1 1) into 1 1.005 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.005 * [taylor]: Taking taylor expansion of f in n 1.005 * [backup-simplify]: Simplify f into f 1.005 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.005 * [backup-simplify]: Simplify (+ 0 1) into 1 1.006 * [backup-simplify]: Simplify (+ 1 0) into 1 1.006 * [backup-simplify]: Simplify (/ 1 1) into 1 1.006 * [backup-simplify]: Simplify (exp 1) into E 1.006 * [taylor]: Taking taylor expansion of 1 in n 1.006 * [backup-simplify]: Simplify 1 into 1 1.006 * [backup-simplify]: Simplify (- 1) into -1 1.006 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 1.007 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 1.007 * [backup-simplify]: Simplify (log E) into 1 1.007 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.007 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 1.007 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.007 * [taylor]: Taking taylor expansion of 1 in f 1.007 * [backup-simplify]: Simplify 1 into 1 1.007 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.007 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.007 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.007 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.007 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.007 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.007 * [taylor]: Taking taylor expansion of f in f 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 1 into 1 1.008 * [backup-simplify]: Simplify (/ 1 1) into 1 1.008 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.008 * [taylor]: Taking taylor expansion of n in f 1.008 * [backup-simplify]: Simplify n into n 1.008 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.008 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.008 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.008 * [taylor]: Taking taylor expansion of n in f 1.008 * [backup-simplify]: Simplify n into n 1.008 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.008 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.008 * [taylor]: Taking taylor expansion of f in f 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 1 into 1 1.008 * [backup-simplify]: Simplify (/ 1 1) into 1 1.008 * [backup-simplify]: Simplify (+ 1 0) into 1 1.008 * [backup-simplify]: Simplify (- 1) into -1 1.009 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.009 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.009 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.009 * [taylor]: Taking taylor expansion of 1 in f 1.009 * [backup-simplify]: Simplify 1 into 1 1.009 * [backup-simplify]: Simplify (- 1) into -1 1.010 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.011 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 1.011 * [backup-simplify]: Simplify (log (exp -1)) into -1 1.011 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.011 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 1.011 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.011 * [taylor]: Taking taylor expansion of 1 in f 1.011 * [backup-simplify]: Simplify 1 into 1 1.011 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.011 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.011 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.011 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.012 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.012 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.012 * [taylor]: Taking taylor expansion of f in f 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 1 into 1 1.012 * [backup-simplify]: Simplify (/ 1 1) into 1 1.012 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.012 * [taylor]: Taking taylor expansion of n in f 1.012 * [backup-simplify]: Simplify n into n 1.012 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.012 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.012 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.012 * [taylor]: Taking taylor expansion of n in f 1.012 * [backup-simplify]: Simplify n into n 1.012 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.012 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.012 * [taylor]: Taking taylor expansion of f in f 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 1 into 1 1.012 * [backup-simplify]: Simplify (/ 1 1) into 1 1.012 * [backup-simplify]: Simplify (+ 1 0) into 1 1.013 * [backup-simplify]: Simplify (- 1) into -1 1.013 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.013 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.013 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.013 * [taylor]: Taking taylor expansion of 1 in f 1.013 * [backup-simplify]: Simplify 1 into 1 1.014 * [backup-simplify]: Simplify (- 1) into -1 1.014 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.015 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 1.015 * [backup-simplify]: Simplify (log (exp -1)) into -1 1.016 * [taylor]: Taking taylor expansion of -1 in n 1.016 * [backup-simplify]: Simplify -1 into -1 1.016 * [backup-simplify]: Simplify -1 into -1 1.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.016 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.017 * [backup-simplify]: Simplify (- 0) into 0 1.017 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.017 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.017 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 1.018 * [backup-simplify]: Simplify (- 0) into 0 1.018 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 1.018 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 1.019 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 1.019 * [taylor]: Taking taylor expansion of (/ -2 n) in n 1.019 * [taylor]: Taking taylor expansion of -2 in n 1.019 * [backup-simplify]: Simplify -2 into -2 1.019 * [taylor]: Taking taylor expansion of n in n 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 1 into 1 1.020 * [backup-simplify]: Simplify (/ -2 1) into -2 1.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.021 * [backup-simplify]: Simplify (+ 0 0) into 0 1.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.022 * [backup-simplify]: Simplify (- 0) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.023 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.023 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 1.023 * [backup-simplify]: Simplify (- 0) into 0 1.024 * [backup-simplify]: Simplify (+ 0 0) into 0 1.024 * [backup-simplify]: Simplify (+ 0 0) into 0 1.026 * [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)) 1.026 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 1.026 * [taylor]: Taking taylor expansion of -2 in n 1.026 * [backup-simplify]: Simplify -2 into -2 1.026 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.026 * [taylor]: Taking taylor expansion of n in n 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 1 into 1 1.026 * [backup-simplify]: Simplify (* 1 1) into 1 1.026 * [backup-simplify]: Simplify (/ -2 1) into -2 1.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.028 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.030 * [backup-simplify]: Simplify (+ 0 0) into 0 1.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.030 * [backup-simplify]: Simplify (- 0) into 0 1.031 * [backup-simplify]: Simplify (+ 0 0) into 0 1.032 * [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)))) 1.032 * [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))) 1.033 * [backup-simplify]: Simplify (- 0) into 0 1.033 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 1.033 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 1.036 * [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)) 1.037 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 1.037 * [taylor]: Taking taylor expansion of -2 in n 1.037 * [backup-simplify]: Simplify -2 into -2 1.037 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.037 * [taylor]: Taking taylor expansion of n in n 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify 1 into 1 1.037 * [backup-simplify]: Simplify (* 1 1) into 1 1.037 * [backup-simplify]: Simplify (* 1 1) into 1 1.037 * [backup-simplify]: Simplify (/ -2 1) into -2 1.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify -1 into -1 1.042 * * * [progress]: simplifying candidates 1.044 * [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 1.044 * [simplify]: Sending expressions to egg_math: (exp (/ (- (+ h1 h0)) (- h1 h0))) (expm1 (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (log (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (exp (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (cbrt (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (cbrt (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (* (* (expm1 (/ (- (+ h1 h0)) (- h1 h0))) (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (sqrt (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (sqrt (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (expm1 (/ (- (+ h1 h0)) (- h1 h0))) (log1p (/ (- (+ h1 h0)) (- h1 h0))) (- (log (- (+ h1 h0))) (log (- h1 h0))) (log (/ (- (+ h1 h0)) (- h1 h0))) (exp (/ (- (+ h1 h0)) (- h1 h0))) (/ (* (* (- (+ h1 h0)) (- (+ h1 h0))) (- (+ h1 h0))) (* (* (- h1 h0) (- h1 h0)) (- h1 h0))) (* (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (* (* (/ (- (+ h1 h0)) (- h1 h0)) (/ (- (+ h1 h0)) (- h1 h0))) (/ (- (+ h1 h0)) (- h1 h0))) (sqrt (/ (- (+ h1 h0)) (- h1 h0))) (sqrt (/ (- (+ h1 h0)) (- h1 h0))) (- (- (+ h1 h0))) (- (- h1 h0)) (/ 0 (- h1 h0)) (/ (+ h1 h0) (- h1 h0)) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (cbrt (- (+ h1 h0))) (cbrt (- h1 h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (sqrt (- h1 h0))) (/ (cbrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) 1) (/ (cbrt (- (+ h1 h0))) (- h1 h0)) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (+ (sqrt h1) (sqrt h0))) (/ (cbrt (- (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) 1) (/ (cbrt (- (+ h1 h0))) (- h1 h0)) (/ (sqrt (- (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (sqrt (- (+ h1 h0))) (cbrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) 1) (/ (sqrt (- (+ h1 h0))) (- h1 h0)) (/ (sqrt (- (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (sqrt (- (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (sqrt (- (+ h1 h0))) 1) (/ (sqrt (- (+ h1 h0))) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ -1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ -1 (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ -1 1) (/ (+ h1 h0) (- h1 h0)) (/ -1 (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ -1 1) (/ (+ h1 h0) (- h1 h0)) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (cbrt (+ h1 h0)) (cbrt (- h1 h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (sqrt (- h1 h0))) (/ (cbrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) 1) (/ (cbrt (+ h1 h0)) (- h1 h0)) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (+ (sqrt h1) (sqrt h0))) (/ (cbrt (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) 1) (/ (cbrt (+ h1 h0)) (- h1 h0)) (/ (- (sqrt (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (sqrt (+ h1 h0)) (cbrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) 1) (/ (sqrt (+ h1 h0)) (- h1 h0)) (/ (- (sqrt (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (sqrt (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ (- (sqrt (+ h1 h0))) 1) (/ (sqrt (+ h1 h0)) (- h1 h0)) (/ (- 1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ (- 1) (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ (- 1) (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (cbrt (+ h1 h0))) (cbrt (- h1 h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (- (cbrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) (/ (- (cbrt (+ h1 h0))) (- h1 h0)) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (- (cbrt (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) (/ (- (cbrt (+ h1 h0))) (- h1 h0)) (/ (sqrt (+ h1 h0)) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (sqrt (+ h1 h0))) (cbrt (- h1 h0))) (/ (sqrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (+ h1 h0)) 1) (/ (- (sqrt (+ h1 h0))) (- h1 h0)) (/ (sqrt (+ h1 h0)) (+ (sqrt h1) (sqrt h0))) (/ (- (sqrt (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (sqrt (+ h1 h0)) 1) (/ (- (sqrt (+ h1 h0))) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (- h1 h0)) (/ (- h1 h0) (- (+ h1 h0))) (/ (+ h1 h0) (- h1 h0)) (/ (- (+ h1 h0)) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (+ h1 h0)) 1) (/ (- (+ h1 h0)) (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) 1) (/ (- h1 h0) (cbrt (- (+ h1 h0)))) (/ (- h1 h0) (sqrt (- (+ h1 h0)))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (cbrt (+ h1 h0))) (/ (- h1 h0) (sqrt (+ h1 h0))) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (- (cbrt (+ h1 h0)))) (/ (- h1 h0) (- (sqrt (+ h1 h0)))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- (+ h1 h0)) (- (pow h1 3) (pow h0 3))) (/ (- (+ h1 h0)) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- h1 h0) (- h1 h0)) (+ 1 (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (expm1 (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (log1p (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (log (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (exp (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (* (cbrt (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (cbrt (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0)))))) (cbrt (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (* (* (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (sqrt (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (sqrt (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (- h2 1) (- (exp -1) 1) (- (exp -1) 1) 1 -1 -1 1 -1 -1 1.055 * * [simplify]: iteration 0 : 322 enodes (cost 918 ) 1.059 * * [simplify]: iteration 1 : 969 enodes (cost 882 ) 1.072 * * [simplify]: iteration 2 : 3073 enodes (cost 867 ) 1.111 * * [simplify]: iteration 3 : 5001 enodes (cost 867 ) 1.115 * * * [progress]: adding candidates to table 1.344 * * [progress]: iteration 3 / 4 1.344 * * * [progress]: picking best candidate 1.348 * * * * [pick]: Picked # 1.348 * * * [progress]: localizing error 1.358 * * * [progress]: generating rewritten candidates 1.358 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.358 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.403 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.414 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.418 * * * [progress]: generating series expansions 1.418 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.418 * [backup-simplify]: Simplify (expm1 (* (/ -1 (- f n)) (+ f n))) into (expm1 (* -1 (/ (+ n f) (- f n)))) 1.418 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 1.418 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 1.418 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 1.418 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 1.418 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.418 * [taylor]: Taking taylor expansion of -1 in n 1.418 * [backup-simplify]: Simplify -1 into -1 1.418 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.418 * [taylor]: Taking taylor expansion of (+ n f) in n 1.418 * [taylor]: Taking taylor expansion of n in n 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 1 into 1 1.418 * [taylor]: Taking taylor expansion of f in n 1.418 * [backup-simplify]: Simplify f into f 1.418 * [taylor]: Taking taylor expansion of (- f n) in n 1.418 * [taylor]: Taking taylor expansion of f in n 1.418 * [backup-simplify]: Simplify f into f 1.418 * [taylor]: Taking taylor expansion of n in n 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 1 into 1 1.418 * [backup-simplify]: Simplify (+ 0 f) into f 1.419 * [backup-simplify]: Simplify (- 0) into 0 1.419 * [backup-simplify]: Simplify (+ f 0) into f 1.419 * [backup-simplify]: Simplify (/ f f) into 1 1.419 * [backup-simplify]: Simplify (* -1 1) into -1 1.420 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.420 * [taylor]: Taking taylor expansion of 1 in n 1.420 * [backup-simplify]: Simplify 1 into 1 1.420 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 1.420 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 1.420 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.420 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.420 * [taylor]: Taking taylor expansion of -1 in f 1.420 * [backup-simplify]: Simplify -1 into -1 1.420 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.420 * [taylor]: Taking taylor expansion of (+ n f) in f 1.420 * [taylor]: Taking taylor expansion of n in f 1.420 * [backup-simplify]: Simplify n into n 1.420 * [taylor]: Taking taylor expansion of f in f 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 1 into 1 1.420 * [taylor]: Taking taylor expansion of (- f n) in f 1.420 * [taylor]: Taking taylor expansion of f in f 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 1 into 1 1.420 * [taylor]: Taking taylor expansion of n in f 1.420 * [backup-simplify]: Simplify n into n 1.420 * [backup-simplify]: Simplify (+ n 0) into n 1.420 * [backup-simplify]: Simplify (- n) into (- n) 1.420 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.420 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.421 * [backup-simplify]: Simplify (* -1 -1) into 1 1.421 * [backup-simplify]: Simplify (exp 1) into E 1.421 * [taylor]: Taking taylor expansion of 1 in f 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 1.421 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 1.421 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.421 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.421 * [taylor]: Taking taylor expansion of -1 in f 1.421 * [backup-simplify]: Simplify -1 into -1 1.421 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.421 * [taylor]: Taking taylor expansion of (+ n f) in f 1.421 * [taylor]: Taking taylor expansion of n in f 1.421 * [backup-simplify]: Simplify n into n 1.421 * [taylor]: Taking taylor expansion of f in f 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [taylor]: Taking taylor expansion of (- f n) in f 1.421 * [taylor]: Taking taylor expansion of f in f 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [taylor]: Taking taylor expansion of n in f 1.421 * [backup-simplify]: Simplify n into n 1.421 * [backup-simplify]: Simplify (+ n 0) into n 1.421 * [backup-simplify]: Simplify (- n) into (- n) 1.421 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.421 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.421 * [backup-simplify]: Simplify (* -1 -1) into 1 1.421 * [backup-simplify]: Simplify (exp 1) into E 1.421 * [taylor]: Taking taylor expansion of 1 in f 1.421 * [backup-simplify]: Simplify 1 into 1 1.422 * [backup-simplify]: Simplify (- 1) into -1 1.422 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 1.422 * [taylor]: Taking taylor expansion of (- E 1) in n 1.422 * [taylor]: Taking taylor expansion of E in n 1.422 * [backup-simplify]: Simplify E into E 1.422 * [taylor]: Taking taylor expansion of 1 in n 1.422 * [backup-simplify]: Simplify 1 into 1 1.422 * [backup-simplify]: Simplify (- 1) into -1 1.423 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 1.423 * [backup-simplify]: Simplify (- E 1) into (- E 1) 1.424 * [backup-simplify]: Simplify (+ 0 1) into 1 1.424 * [backup-simplify]: Simplify (- 0) into 0 1.424 * [backup-simplify]: Simplify (+ 1 0) into 1 1.424 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.425 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.425 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 1.425 * [backup-simplify]: Simplify (- 0) into 0 1.425 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 1.425 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 1.425 * [taylor]: Taking taylor expansion of 2 in n 1.425 * [backup-simplify]: Simplify 2 into 2 1.425 * [taylor]: Taking taylor expansion of (/ E n) in n 1.425 * [taylor]: Taking taylor expansion of E in n 1.425 * [backup-simplify]: Simplify E into E 1.425 * [taylor]: Taking taylor expansion of n in n 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify (/ E 1) into E 1.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.427 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify (- 0) into 0 1.427 * [backup-simplify]: Simplify (+ 0 0) into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify (+ 0 0) into 0 1.428 * [backup-simplify]: Simplify (- 0) into 0 1.428 * [backup-simplify]: Simplify (+ 0 0) into 0 1.428 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.429 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.429 * [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))) 1.429 * [backup-simplify]: Simplify (- 0) into 0 1.429 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 1.429 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 1.429 * [taylor]: Taking taylor expansion of 4 in n 1.429 * [backup-simplify]: Simplify 4 into 4 1.429 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 1.429 * [taylor]: Taking taylor expansion of E in n 1.429 * [backup-simplify]: Simplify E into E 1.429 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.429 * [taylor]: Taking taylor expansion of n in n 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (* 1 1) into 1 1.430 * [backup-simplify]: Simplify (/ E 1) into E 1.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.432 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 1.432 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.434 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify (- 0) into 0 1.434 * [backup-simplify]: Simplify (+ 0 0) into 0 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify (+ 0 0) into 0 1.435 * [backup-simplify]: Simplify (- 0) into 0 1.435 * [backup-simplify]: Simplify (+ 0 0) into 0 1.435 * [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)))) 1.436 * [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))) 1.436 * [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))) 1.437 * [backup-simplify]: Simplify (- 0) into 0 1.437 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 1.437 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 1.437 * [taylor]: Taking taylor expansion of 22/3 in n 1.437 * [backup-simplify]: Simplify 22/3 into 22/3 1.437 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 1.437 * [taylor]: Taking taylor expansion of E in n 1.437 * [backup-simplify]: Simplify E into E 1.437 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.437 * [taylor]: Taking taylor expansion of n in n 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 1 into 1 1.437 * [backup-simplify]: Simplify (* 1 1) into 1 1.437 * [backup-simplify]: Simplify (* 1 1) into 1 1.438 * [backup-simplify]: Simplify (/ E 1) into E 1.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.443 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify (- E 1) into (- E 1) 1.443 * [backup-simplify]: Simplify (expm1 (* (/ -1 (- (/ 1 f) (/ 1 n))) (+ (/ 1 f) (/ 1 n)))) into (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1.443 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 1.443 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.443 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 1.443 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.443 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.443 * [taylor]: Taking taylor expansion of -1 in n 1.443 * [backup-simplify]: Simplify -1 into -1 1.443 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.443 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.443 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.443 * [taylor]: Taking taylor expansion of f in n 1.443 * [backup-simplify]: Simplify f into f 1.443 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.443 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.443 * [taylor]: Taking taylor expansion of n in n 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 1 into 1 1.444 * [backup-simplify]: Simplify (/ 1 1) into 1 1.444 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.444 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.444 * [taylor]: Taking taylor expansion of f in n 1.444 * [backup-simplify]: Simplify f into f 1.444 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.444 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.444 * [taylor]: Taking taylor expansion of n in n 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 1 into 1 1.444 * [backup-simplify]: Simplify (/ 1 1) into 1 1.444 * [backup-simplify]: Simplify (+ 0 1) into 1 1.445 * [backup-simplify]: Simplify (- 1) into -1 1.448 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.449 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.449 * [backup-simplify]: Simplify (* -1 -1) into 1 1.449 * [backup-simplify]: Simplify (exp 1) into E 1.449 * [taylor]: Taking taylor expansion of 1 in n 1.449 * [backup-simplify]: Simplify 1 into 1 1.449 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.449 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 1.449 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.449 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.449 * [taylor]: Taking taylor expansion of -1 in f 1.449 * [backup-simplify]: Simplify -1 into -1 1.449 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.449 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.449 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.449 * [taylor]: Taking taylor expansion of f in f 1.449 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify 1 into 1 1.450 * [backup-simplify]: Simplify (/ 1 1) into 1 1.450 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.450 * [taylor]: Taking taylor expansion of n in f 1.450 * [backup-simplify]: Simplify n into n 1.450 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.450 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.450 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.450 * [taylor]: Taking taylor expansion of f in f 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 1 into 1 1.450 * [backup-simplify]: Simplify (/ 1 1) into 1 1.450 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.450 * [taylor]: Taking taylor expansion of n in f 1.450 * [backup-simplify]: Simplify n into n 1.450 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.450 * [backup-simplify]: Simplify (+ 1 0) into 1 1.451 * [backup-simplify]: Simplify (+ 1 0) into 1 1.451 * [backup-simplify]: Simplify (/ 1 1) into 1 1.451 * [backup-simplify]: Simplify (* -1 1) into -1 1.451 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.451 * [taylor]: Taking taylor expansion of 1 in f 1.451 * [backup-simplify]: Simplify 1 into 1 1.451 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.451 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 1.451 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.451 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.451 * [taylor]: Taking taylor expansion of -1 in f 1.452 * [backup-simplify]: Simplify -1 into -1 1.452 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.452 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.452 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.452 * [taylor]: Taking taylor expansion of f in f 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 1 into 1 1.452 * [backup-simplify]: Simplify (/ 1 1) into 1 1.452 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.452 * [taylor]: Taking taylor expansion of n in f 1.452 * [backup-simplify]: Simplify n into n 1.452 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.452 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.452 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.452 * [taylor]: Taking taylor expansion of f in f 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 1 into 1 1.452 * [backup-simplify]: Simplify (/ 1 1) into 1 1.452 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.452 * [taylor]: Taking taylor expansion of n in f 1.452 * [backup-simplify]: Simplify n into n 1.452 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.453 * [backup-simplify]: Simplify (+ 1 0) into 1 1.453 * [backup-simplify]: Simplify (+ 1 0) into 1 1.453 * [backup-simplify]: Simplify (/ 1 1) into 1 1.453 * [backup-simplify]: Simplify (* -1 1) into -1 1.454 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.454 * [taylor]: Taking taylor expansion of 1 in f 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify (- 1) into -1 1.454 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.454 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 1.454 * [taylor]: Taking taylor expansion of (exp -1) in n 1.454 * [taylor]: Taking taylor expansion of -1 in n 1.454 * [backup-simplify]: Simplify -1 into -1 1.455 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.455 * [taylor]: Taking taylor expansion of 1 in n 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [backup-simplify]: Simplify (- 1) into -1 1.455 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.456 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 1.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.457 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.457 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.457 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.457 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.458 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 1.458 * [backup-simplify]: Simplify (- 0) into 0 1.458 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 1.458 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 1.458 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 1.458 * [taylor]: Taking taylor expansion of 2 in n 1.458 * [backup-simplify]: Simplify 2 into 2 1.458 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 1.458 * [taylor]: Taking taylor expansion of (exp -1) in n 1.458 * [taylor]: Taking taylor expansion of -1 in n 1.459 * [backup-simplify]: Simplify -1 into -1 1.459 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.459 * [taylor]: Taking taylor expansion of n in n 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 1 into 1 1.459 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 1.460 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 1.461 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 1.461 * [backup-simplify]: Simplify (- 0) into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.462 * [backup-simplify]: Simplify (- 0) into 0 1.462 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.463 * [backup-simplify]: Simplify (+ 0 0) into 0 1.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.464 * [backup-simplify]: Simplify (- 0) into 0 1.464 * [backup-simplify]: Simplify (+ 0 0) into 0 1.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.465 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.466 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 1.466 * [backup-simplify]: Simplify (- 0) into 0 1.466 * [backup-simplify]: Simplify (+ 0 0) into 0 1.466 * [taylor]: Taking taylor expansion of 0 in n 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.468 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 1.469 * [backup-simplify]: Simplify (- 0) into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.470 * [backup-simplify]: Simplify (- 0) into 0 1.470 * [backup-simplify]: Simplify (+ 0 0) into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.471 * [backup-simplify]: Simplify (+ 0 0) into 0 1.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.472 * [backup-simplify]: Simplify (- 0) into 0 1.472 * [backup-simplify]: Simplify (+ 0 0) into 0 1.473 * [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))) 1.474 * [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)))) 1.475 * [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))) 1.475 * [backup-simplify]: Simplify (- 0) into 0 1.475 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 1.475 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 1.475 * [taylor]: Taking taylor expansion of 2/3 in n 1.475 * [backup-simplify]: Simplify 2/3 into 2/3 1.475 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 1.475 * [taylor]: Taking taylor expansion of (exp -1) in n 1.475 * [taylor]: Taking taylor expansion of -1 in n 1.475 * [backup-simplify]: Simplify -1 into -1 1.476 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.476 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.476 * [taylor]: Taking taylor expansion of n in n 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 1 into 1 1.476 * [backup-simplify]: Simplify (* 1 1) into 1 1.476 * [backup-simplify]: Simplify (* 1 1) into 1 1.477 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 1.478 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 1.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.483 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.485 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 1.485 * [backup-simplify]: Simplify (expm1 (* (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1.485 * [approximate]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 1.485 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.486 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.486 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.486 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.486 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.486 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.486 * [taylor]: Taking taylor expansion of f in n 1.486 * [backup-simplify]: Simplify f into f 1.486 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.486 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.486 * [taylor]: Taking taylor expansion of n in n 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (/ 1 1) into 1 1.486 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.486 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.486 * [taylor]: Taking taylor expansion of n in n 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (/ 1 1) into 1 1.486 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.486 * [taylor]: Taking taylor expansion of f in n 1.486 * [backup-simplify]: Simplify f into f 1.486 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.487 * [backup-simplify]: Simplify (+ 0 1) into 1 1.487 * [backup-simplify]: Simplify (+ 1 0) into 1 1.487 * [backup-simplify]: Simplify (/ 1 1) into 1 1.487 * [backup-simplify]: Simplify (exp 1) into E 1.487 * [taylor]: Taking taylor expansion of 1 in n 1.487 * [backup-simplify]: Simplify 1 into 1 1.487 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.487 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.487 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.487 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.487 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.487 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.487 * [taylor]: Taking taylor expansion of f in f 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.488 * [backup-simplify]: Simplify (/ 1 1) into 1 1.488 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.488 * [taylor]: Taking taylor expansion of n in f 1.488 * [backup-simplify]: Simplify n into n 1.488 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.488 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.488 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.488 * [taylor]: Taking taylor expansion of n in f 1.488 * [backup-simplify]: Simplify n into n 1.488 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.488 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.488 * [taylor]: Taking taylor expansion of f in f 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify 1 into 1 1.488 * [backup-simplify]: Simplify (/ 1 1) into 1 1.488 * [backup-simplify]: Simplify (+ 1 0) into 1 1.489 * [backup-simplify]: Simplify (- 1) into -1 1.489 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.489 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.489 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.489 * [taylor]: Taking taylor expansion of 1 in f 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.489 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.489 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.489 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.489 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.490 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.490 * [taylor]: Taking taylor expansion of f in f 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (/ 1 1) into 1 1.490 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.490 * [taylor]: Taking taylor expansion of n in f 1.490 * [backup-simplify]: Simplify n into n 1.490 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.490 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.490 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.490 * [taylor]: Taking taylor expansion of n in f 1.490 * [backup-simplify]: Simplify n into n 1.490 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.490 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.490 * [taylor]: Taking taylor expansion of f in f 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (/ 1 1) into 1 1.491 * [backup-simplify]: Simplify (+ 1 0) into 1 1.491 * [backup-simplify]: Simplify (- 1) into -1 1.491 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.491 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.491 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.491 * [taylor]: Taking taylor expansion of 1 in f 1.491 * [backup-simplify]: Simplify 1 into 1 1.492 * [backup-simplify]: Simplify (- 1) into -1 1.492 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.492 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 1.492 * [taylor]: Taking taylor expansion of (exp -1) in n 1.492 * [taylor]: Taking taylor expansion of -1 in n 1.492 * [backup-simplify]: Simplify -1 into -1 1.493 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.493 * [taylor]: Taking taylor expansion of 1 in n 1.493 * [backup-simplify]: Simplify 1 into 1 1.493 * [backup-simplify]: Simplify (- 1) into -1 1.493 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.494 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 1.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.495 * [backup-simplify]: Simplify (- 0) into 0 1.495 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.495 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.496 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 1.496 * [backup-simplify]: Simplify (- 0) into 0 1.496 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 1.496 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 1.496 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 1.496 * [taylor]: Taking taylor expansion of 2 in n 1.496 * [backup-simplify]: Simplify 2 into 2 1.496 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 1.496 * [taylor]: Taking taylor expansion of (exp -1) in n 1.496 * [taylor]: Taking taylor expansion of -1 in n 1.496 * [backup-simplify]: Simplify -1 into -1 1.496 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.496 * [taylor]: Taking taylor expansion of n in n 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 1 into 1 1.497 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 1.498 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 1.499 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 1.499 * [backup-simplify]: Simplify (- 0) into 0 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.500 * [backup-simplify]: Simplify (- 0) into 0 1.500 * [backup-simplify]: Simplify (+ 0 0) into 0 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.501 * [backup-simplify]: Simplify (+ 0 0) into 0 1.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.501 * [backup-simplify]: Simplify (- 0) into 0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.502 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.503 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 1.503 * [backup-simplify]: Simplify (- 0) into 0 1.503 * [backup-simplify]: Simplify (+ 0 0) into 0 1.503 * [taylor]: Taking taylor expansion of 0 in n 1.503 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.506 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 1.506 * [backup-simplify]: Simplify (- 0) into 0 1.506 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.507 * [backup-simplify]: Simplify (- 0) into 0 1.507 * [backup-simplify]: Simplify (+ 0 0) into 0 1.507 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.508 * [backup-simplify]: Simplify (+ 0 0) into 0 1.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.509 * [backup-simplify]: Simplify (- 0) into 0 1.509 * [backup-simplify]: Simplify (+ 0 0) into 0 1.510 * [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)))) 1.511 * [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))) 1.511 * [backup-simplify]: Simplify (- 0) into 0 1.512 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 1.512 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 1.512 * [taylor]: Taking taylor expansion of 2/3 in n 1.512 * [backup-simplify]: Simplify 2/3 into 2/3 1.512 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 1.512 * [taylor]: Taking taylor expansion of (exp -1) in n 1.512 * [taylor]: Taking taylor expansion of -1 in n 1.512 * [backup-simplify]: Simplify -1 into -1 1.512 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.512 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.512 * [taylor]: Taking taylor expansion of n in n 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 1 into 1 1.512 * [backup-simplify]: Simplify (* 1 1) into 1 1.513 * [backup-simplify]: Simplify (* 1 1) into 1 1.513 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 1.514 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.517 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.519 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 1.521 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.522 * [backup-simplify]: Simplify (* (/ -1 (- f n)) (+ f n)) into (* -1 (/ (+ n f) (- f n))) 1.522 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.522 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.522 * [taylor]: Taking taylor expansion of -1 in n 1.522 * [backup-simplify]: Simplify -1 into -1 1.522 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.522 * [taylor]: Taking taylor expansion of (+ n f) in n 1.522 * [taylor]: Taking taylor expansion of n in n 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 1 into 1 1.522 * [taylor]: Taking taylor expansion of f in n 1.522 * [backup-simplify]: Simplify f into f 1.522 * [taylor]: Taking taylor expansion of (- f n) in n 1.522 * [taylor]: Taking taylor expansion of f in n 1.522 * [backup-simplify]: Simplify f into f 1.522 * [taylor]: Taking taylor expansion of n in n 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 1 into 1 1.522 * [backup-simplify]: Simplify (+ 0 f) into f 1.522 * [backup-simplify]: Simplify (- 0) into 0 1.522 * [backup-simplify]: Simplify (+ f 0) into f 1.522 * [backup-simplify]: Simplify (/ f f) into 1 1.522 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.522 * [taylor]: Taking taylor expansion of -1 in f 1.522 * [backup-simplify]: Simplify -1 into -1 1.522 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.522 * [taylor]: Taking taylor expansion of (+ n f) in f 1.522 * [taylor]: Taking taylor expansion of n in f 1.522 * [backup-simplify]: Simplify n into n 1.522 * [taylor]: Taking taylor expansion of f in f 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 1 into 1 1.522 * [taylor]: Taking taylor expansion of (- f n) in f 1.522 * [taylor]: Taking taylor expansion of f in f 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 1 into 1 1.523 * [taylor]: Taking taylor expansion of n in f 1.523 * [backup-simplify]: Simplify n into n 1.523 * [backup-simplify]: Simplify (+ n 0) into n 1.523 * [backup-simplify]: Simplify (- n) into (- n) 1.523 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.523 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.523 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.523 * [taylor]: Taking taylor expansion of -1 in f 1.523 * [backup-simplify]: Simplify -1 into -1 1.523 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.523 * [taylor]: Taking taylor expansion of (+ n f) in f 1.523 * [taylor]: Taking taylor expansion of n in f 1.523 * [backup-simplify]: Simplify n into n 1.523 * [taylor]: Taking taylor expansion of f in f 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 1 into 1 1.523 * [taylor]: Taking taylor expansion of (- f n) in f 1.523 * [taylor]: Taking taylor expansion of f in f 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 1 into 1 1.523 * [taylor]: Taking taylor expansion of n in f 1.523 * [backup-simplify]: Simplify n into n 1.523 * [backup-simplify]: Simplify (+ n 0) into n 1.523 * [backup-simplify]: Simplify (- n) into (- n) 1.523 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.523 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.524 * [backup-simplify]: Simplify (* -1 -1) into 1 1.524 * [taylor]: Taking taylor expansion of 1 in n 1.524 * [backup-simplify]: Simplify 1 into 1 1.524 * [backup-simplify]: Simplify 1 into 1 1.524 * [backup-simplify]: Simplify (+ 0 1) into 1 1.524 * [backup-simplify]: Simplify (- 0) into 0 1.524 * [backup-simplify]: Simplify (+ 1 0) into 1 1.525 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.525 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.525 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.525 * [taylor]: Taking taylor expansion of 2 in n 1.525 * [backup-simplify]: Simplify 2 into 2 1.525 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.525 * [taylor]: Taking taylor expansion of n in n 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify 1 into 1 1.525 * [backup-simplify]: Simplify (/ 1 1) into 1 1.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.526 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify (+ 0 0) into 0 1.527 * [backup-simplify]: Simplify (- 0) into 0 1.527 * [backup-simplify]: Simplify (+ 0 0) into 0 1.527 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.528 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.528 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.528 * [taylor]: Taking taylor expansion of 2 in n 1.528 * [backup-simplify]: Simplify 2 into 2 1.528 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.528 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.528 * [taylor]: Taking taylor expansion of n in n 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 1 into 1 1.528 * [backup-simplify]: Simplify (* 1 1) into 1 1.528 * [backup-simplify]: Simplify (/ 1 1) into 1 1.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.530 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.530 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.531 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify (+ 0 0) into 0 1.532 * [backup-simplify]: Simplify (- 0) into 0 1.532 * [backup-simplify]: Simplify (+ 0 0) into 0 1.533 * [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)))) 1.533 * [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))) 1.533 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.533 * [taylor]: Taking taylor expansion of 2 in n 1.533 * [backup-simplify]: Simplify 2 into 2 1.533 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.533 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.533 * [taylor]: Taking taylor expansion of n in n 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [backup-simplify]: Simplify (* 1 1) into 1 1.534 * [backup-simplify]: Simplify (* 1 1) into 1 1.534 * [backup-simplify]: Simplify (/ 1 1) into 1 1.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.539 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.543 * [backup-simplify]: Simplify (* (/ -1 (- (/ 1 f) (/ 1 n))) (+ (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.543 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.543 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.543 * [taylor]: Taking taylor expansion of -1 in n 1.543 * [backup-simplify]: Simplify -1 into -1 1.543 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.543 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.543 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.543 * [taylor]: Taking taylor expansion of f in n 1.543 * [backup-simplify]: Simplify f into f 1.543 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.543 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.543 * [taylor]: Taking taylor expansion of n in n 1.543 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify 1 into 1 1.544 * [backup-simplify]: Simplify (/ 1 1) into 1 1.544 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.544 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.544 * [taylor]: Taking taylor expansion of f in n 1.544 * [backup-simplify]: Simplify f into f 1.544 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.544 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.544 * [taylor]: Taking taylor expansion of n in n 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify 1 into 1 1.544 * [backup-simplify]: Simplify (/ 1 1) into 1 1.545 * [backup-simplify]: Simplify (+ 0 1) into 1 1.545 * [backup-simplify]: Simplify (- 1) into -1 1.545 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.545 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.545 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.545 * [taylor]: Taking taylor expansion of -1 in f 1.545 * [backup-simplify]: Simplify -1 into -1 1.545 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.546 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.546 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.546 * [taylor]: Taking taylor expansion of f in f 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify (/ 1 1) into 1 1.546 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.546 * [taylor]: Taking taylor expansion of n in f 1.546 * [backup-simplify]: Simplify n into n 1.546 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.546 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.546 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.546 * [taylor]: Taking taylor expansion of f in f 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify (/ 1 1) into 1 1.546 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.546 * [taylor]: Taking taylor expansion of n in f 1.546 * [backup-simplify]: Simplify n into n 1.546 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.547 * [backup-simplify]: Simplify (+ 1 0) into 1 1.547 * [backup-simplify]: Simplify (+ 1 0) into 1 1.547 * [backup-simplify]: Simplify (/ 1 1) into 1 1.547 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.547 * [taylor]: Taking taylor expansion of -1 in f 1.547 * [backup-simplify]: Simplify -1 into -1 1.547 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.547 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.547 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.547 * [taylor]: Taking taylor expansion of f in f 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 1 into 1 1.547 * [backup-simplify]: Simplify (/ 1 1) into 1 1.547 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.547 * [taylor]: Taking taylor expansion of n in f 1.547 * [backup-simplify]: Simplify n into n 1.547 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.547 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.548 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.548 * [taylor]: Taking taylor expansion of f in f 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.548 * [backup-simplify]: Simplify (/ 1 1) into 1 1.548 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.548 * [taylor]: Taking taylor expansion of n in f 1.548 * [backup-simplify]: Simplify n into n 1.548 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.548 * [backup-simplify]: Simplify (+ 1 0) into 1 1.548 * [backup-simplify]: Simplify (+ 1 0) into 1 1.549 * [backup-simplify]: Simplify (/ 1 1) into 1 1.549 * [backup-simplify]: Simplify (* -1 1) into -1 1.549 * [taylor]: Taking taylor expansion of -1 in n 1.549 * [backup-simplify]: Simplify -1 into -1 1.549 * [backup-simplify]: Simplify -1 into -1 1.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.549 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.550 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.550 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.550 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.550 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.550 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.550 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.550 * [taylor]: Taking taylor expansion of 2 in n 1.550 * [backup-simplify]: Simplify 2 into 2 1.551 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.551 * [taylor]: Taking taylor expansion of n in n 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [backup-simplify]: Simplify (/ 1 1) into 1 1.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.552 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.552 * [backup-simplify]: Simplify (- 0) into 0 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.553 * [backup-simplify]: Simplify (+ 0 0) into 0 1.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.553 * [backup-simplify]: Simplify (- 0) into 0 1.554 * [backup-simplify]: Simplify (+ 0 0) into 0 1.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.555 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.555 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.555 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.555 * [taylor]: Taking taylor expansion of 2 in n 1.555 * [backup-simplify]: Simplify 2 into 2 1.555 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.555 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.555 * [taylor]: Taking taylor expansion of n in n 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 1 into 1 1.555 * [backup-simplify]: Simplify (* 1 1) into 1 1.555 * [backup-simplify]: Simplify (/ 1 1) into 1 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.558 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.558 * [backup-simplify]: Simplify (- 0) into 0 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.559 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.559 * [backup-simplify]: Simplify (- 0) into 0 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.560 * [backup-simplify]: Simplify (+ 0 0) into 0 1.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.561 * [backup-simplify]: Simplify (- 0) into 0 1.561 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [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))) 1.563 * [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)))) 1.563 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.563 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.563 * [taylor]: Taking taylor expansion of 2 in n 1.563 * [backup-simplify]: Simplify 2 into 2 1.563 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.563 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.563 * [taylor]: Taking taylor expansion of n in n 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (* 1 1) into 1 1.563 * [backup-simplify]: Simplify (* 1 1) into 1 1.563 * [backup-simplify]: Simplify (/ 1 1) into 1 1.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (- 0) into 0 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify -1 into -1 1.568 * [backup-simplify]: Simplify (* (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.569 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.569 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.569 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.569 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.569 * [taylor]: Taking taylor expansion of f in n 1.569 * [backup-simplify]: Simplify f into f 1.569 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.569 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.569 * [taylor]: Taking taylor expansion of n in n 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 1 into 1 1.569 * [backup-simplify]: Simplify (/ 1 1) into 1 1.569 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.569 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.569 * [taylor]: Taking taylor expansion of n in n 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 1 into 1 1.569 * [backup-simplify]: Simplify (/ 1 1) into 1 1.569 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.569 * [taylor]: Taking taylor expansion of f in n 1.569 * [backup-simplify]: Simplify f into f 1.569 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.570 * [backup-simplify]: Simplify (+ 0 1) into 1 1.570 * [backup-simplify]: Simplify (+ 1 0) into 1 1.570 * [backup-simplify]: Simplify (/ 1 1) into 1 1.570 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.570 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.570 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.570 * [taylor]: Taking taylor expansion of f in f 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 1 into 1 1.570 * [backup-simplify]: Simplify (/ 1 1) into 1 1.570 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.570 * [taylor]: Taking taylor expansion of n in f 1.570 * [backup-simplify]: Simplify n into n 1.571 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.571 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.571 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.571 * [taylor]: Taking taylor expansion of n in f 1.571 * [backup-simplify]: Simplify n into n 1.571 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.571 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.571 * [taylor]: Taking taylor expansion of f in f 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify 1 into 1 1.571 * [backup-simplify]: Simplify (/ 1 1) into 1 1.571 * [backup-simplify]: Simplify (+ 1 0) into 1 1.571 * [backup-simplify]: Simplify (- 1) into -1 1.572 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.572 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.572 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.572 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.572 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.572 * [taylor]: Taking taylor expansion of f in f 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [backup-simplify]: Simplify (/ 1 1) into 1 1.572 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.572 * [taylor]: Taking taylor expansion of n in f 1.572 * [backup-simplify]: Simplify n into n 1.572 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.572 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.572 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.572 * [taylor]: Taking taylor expansion of n in f 1.572 * [backup-simplify]: Simplify n into n 1.572 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.572 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.572 * [taylor]: Taking taylor expansion of f in f 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.573 * [backup-simplify]: Simplify (/ 1 1) into 1 1.573 * [backup-simplify]: Simplify (+ 1 0) into 1 1.573 * [backup-simplify]: Simplify (- 1) into -1 1.573 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.574 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.574 * [taylor]: Taking taylor expansion of -1 in n 1.574 * [backup-simplify]: Simplify -1 into -1 1.574 * [backup-simplify]: Simplify -1 into -1 1.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.574 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.575 * [backup-simplify]: Simplify (- 0) into 0 1.575 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.575 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.575 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.575 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.575 * [taylor]: Taking taylor expansion of 2 in n 1.575 * [backup-simplify]: Simplify 2 into 2 1.575 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.575 * [taylor]: Taking taylor expansion of n in n 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.576 * [backup-simplify]: Simplify (/ 1 1) into 1 1.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.576 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.577 * [backup-simplify]: Simplify (- 0) into 0 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.578 * [backup-simplify]: Simplify (- 0) into 0 1.578 * [backup-simplify]: Simplify (+ 0 0) into 0 1.579 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.579 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.579 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.579 * [taylor]: Taking taylor expansion of 2 in n 1.579 * [backup-simplify]: Simplify 2 into 2 1.579 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.579 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.579 * [taylor]: Taking taylor expansion of n in n 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (* 1 1) into 1 1.580 * [backup-simplify]: Simplify (/ 1 1) into 1 1.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.582 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.582 * [backup-simplify]: Simplify (- 0) into 0 1.582 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.583 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.583 * [backup-simplify]: Simplify (- 0) into 0 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.584 * [backup-simplify]: Simplify (+ 0 0) into 0 1.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.585 * [backup-simplify]: Simplify (- 0) into 0 1.585 * [backup-simplify]: Simplify (+ 0 0) into 0 1.586 * [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)))) 1.586 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.586 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.586 * [taylor]: Taking taylor expansion of 2 in n 1.586 * [backup-simplify]: Simplify 2 into 2 1.586 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.586 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.586 * [taylor]: Taking taylor expansion of n in n 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify 1 into 1 1.587 * [backup-simplify]: Simplify (* 1 1) into 1 1.587 * [backup-simplify]: Simplify (* 1 1) into 1 1.587 * [backup-simplify]: Simplify (/ 1 1) into 1 1.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.592 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.592 * [backup-simplify]: Simplify (- 0) into 0 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify -1 into -1 1.592 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.592 * [backup-simplify]: Simplify (/ -1 (- f n)) into (/ -1 (- f n)) 1.592 * [approximate]: Taking taylor expansion of (/ -1 (- f n)) in (f n) around 0 1.592 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in n 1.592 * [taylor]: Taking taylor expansion of -1 in n 1.592 * [backup-simplify]: Simplify -1 into -1 1.592 * [taylor]: Taking taylor expansion of (- f n) in n 1.592 * [taylor]: Taking taylor expansion of f in n 1.592 * [backup-simplify]: Simplify f into f 1.592 * [taylor]: Taking taylor expansion of n in n 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 1 into 1 1.592 * [backup-simplify]: Simplify (- 0) into 0 1.593 * [backup-simplify]: Simplify (+ f 0) into f 1.593 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 1.593 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 1.593 * [taylor]: Taking taylor expansion of -1 in f 1.593 * [backup-simplify]: Simplify -1 into -1 1.593 * [taylor]: Taking taylor expansion of (- f n) in f 1.593 * [taylor]: Taking taylor expansion of f in f 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [taylor]: Taking taylor expansion of n in f 1.593 * [backup-simplify]: Simplify n into n 1.593 * [backup-simplify]: Simplify (- n) into (- n) 1.593 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.593 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 1.593 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 1.593 * [taylor]: Taking taylor expansion of -1 in f 1.593 * [backup-simplify]: Simplify -1 into -1 1.593 * [taylor]: Taking taylor expansion of (- f n) in f 1.593 * [taylor]: Taking taylor expansion of f in f 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [taylor]: Taking taylor expansion of n in f 1.593 * [backup-simplify]: Simplify n into n 1.593 * [backup-simplify]: Simplify (- n) into (- n) 1.593 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.593 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 1.593 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.593 * [taylor]: Taking taylor expansion of n in n 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (/ 1 1) into 1 1.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify (- 0) into 0 1.594 * [backup-simplify]: Simplify (+ 1 0) into 1 1.595 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 1 (- n))))) into (/ 1 (pow n 2)) 1.595 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.595 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.595 * [taylor]: Taking taylor expansion of n in n 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.595 * [backup-simplify]: Simplify (* 1 1) into 1 1.595 * [backup-simplify]: Simplify (/ 1 1) into 1 1.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify (- 0) into 0 1.598 * [backup-simplify]: Simplify (+ 0 0) into 0 1.598 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 0 (- n))) (* (/ 1 (pow n 2)) (/ 1 (- n))))) into (/ 1 (pow n 3)) 1.598 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.598 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.598 * [taylor]: Taking taylor expansion of n in n 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (* 1 1) into 1 1.599 * [backup-simplify]: Simplify (* 1 1) into 1 1.599 * [backup-simplify]: Simplify (/ 1 1) into 1 1.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.603 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.604 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify (/ -1 (- (/ 1 f) (/ 1 n))) into (/ -1 (- (/ 1 f) (/ 1 n))) 1.605 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in (f n) around 0 1.605 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in n 1.605 * [taylor]: Taking taylor expansion of -1 in n 1.605 * [backup-simplify]: Simplify -1 into -1 1.605 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.605 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.605 * [taylor]: Taking taylor expansion of f in n 1.605 * [backup-simplify]: Simplify f into f 1.605 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.605 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.605 * [taylor]: Taking taylor expansion of n in n 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 1 into 1 1.605 * [backup-simplify]: Simplify (/ 1 1) into 1 1.606 * [backup-simplify]: Simplify (- 1) into -1 1.606 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.606 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.606 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 1.606 * [taylor]: Taking taylor expansion of -1 in f 1.606 * [backup-simplify]: Simplify -1 into -1 1.606 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.606 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.606 * [taylor]: Taking taylor expansion of f in f 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [backup-simplify]: Simplify (/ 1 1) into 1 1.606 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.606 * [taylor]: Taking taylor expansion of n in f 1.606 * [backup-simplify]: Simplify n into n 1.606 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.607 * [backup-simplify]: Simplify (+ 1 0) into 1 1.607 * [backup-simplify]: Simplify (/ -1 1) into -1 1.607 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 1.607 * [taylor]: Taking taylor expansion of -1 in f 1.607 * [backup-simplify]: Simplify -1 into -1 1.607 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.607 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.607 * [taylor]: Taking taylor expansion of f in f 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify (/ 1 1) into 1 1.607 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.607 * [taylor]: Taking taylor expansion of n in f 1.607 * [backup-simplify]: Simplify n into n 1.607 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.608 * [backup-simplify]: Simplify (+ 1 0) into 1 1.608 * [backup-simplify]: Simplify (/ -1 1) into -1 1.608 * [taylor]: Taking taylor expansion of -1 in n 1.608 * [backup-simplify]: Simplify -1 into -1 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.608 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.609 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (/ 1 n)) 1.609 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 1.609 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.609 * [taylor]: Taking taylor expansion of n in n 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify (/ 1 1) into 1 1.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.610 * [backup-simplify]: Simplify (- 0) into 0 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.611 * [backup-simplify]: Simplify (- 0) into 0 1.611 * [backup-simplify]: Simplify (+ 0 0) into 0 1.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (- (/ 1 (pow n 2))) 1.612 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 1.612 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.612 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.612 * [taylor]: Taking taylor expansion of n in n 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 1 into 1 1.612 * [backup-simplify]: Simplify (* 1 1) into 1 1.612 * [backup-simplify]: Simplify (/ 1 1) into 1 1.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.615 * [backup-simplify]: Simplify (- 0) into 0 1.615 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.616 * [backup-simplify]: Simplify (- 0) into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) into (/ -1 (- (/ 1 n) (/ 1 f))) 1.616 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.616 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in n 1.616 * [taylor]: Taking taylor expansion of -1 in n 1.616 * [backup-simplify]: Simplify -1 into -1 1.616 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.616 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.616 * [taylor]: Taking taylor expansion of n in n 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.617 * [backup-simplify]: Simplify (/ 1 1) into 1 1.617 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.617 * [taylor]: Taking taylor expansion of f in n 1.617 * [backup-simplify]: Simplify f into f 1.617 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.617 * [backup-simplify]: Simplify (+ 1 0) into 1 1.617 * [backup-simplify]: Simplify (/ -1 1) into -1 1.617 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 1.617 * [taylor]: Taking taylor expansion of -1 in f 1.617 * [backup-simplify]: Simplify -1 into -1 1.617 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.617 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.617 * [taylor]: Taking taylor expansion of n in f 1.617 * [backup-simplify]: Simplify n into n 1.617 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.617 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.617 * [taylor]: Taking taylor expansion of f in f 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify (/ 1 1) into 1 1.618 * [backup-simplify]: Simplify (- 1) into -1 1.618 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.618 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.618 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 1.618 * [taylor]: Taking taylor expansion of -1 in f 1.618 * [backup-simplify]: Simplify -1 into -1 1.618 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.618 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.618 * [taylor]: Taking taylor expansion of n in f 1.618 * [backup-simplify]: Simplify n into n 1.619 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.619 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.619 * [taylor]: Taking taylor expansion of f in f 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (/ 1 1) into 1 1.619 * [backup-simplify]: Simplify (- 1) into -1 1.619 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.619 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.620 * [taylor]: Taking taylor expansion of 1 in n 1.620 * [backup-simplify]: Simplify 1 into 1 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.620 * [backup-simplify]: Simplify (- 0) into 0 1.620 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.621 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 n) -1)))) into (/ 1 n) 1.621 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.621 * [taylor]: Taking taylor expansion of n in n 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.621 * [backup-simplify]: Simplify (/ 1 1) into 1 1.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.623 * [backup-simplify]: Simplify (- 0) into 0 1.623 * [backup-simplify]: Simplify (+ 0 0) into 0 1.623 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (/ 1 n) (/ (/ 1 n) -1)))) into (/ 1 (pow n 2)) 1.623 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.623 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.623 * [taylor]: Taking taylor expansion of n in n 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify (* 1 1) into 1 1.624 * [backup-simplify]: Simplify (/ 1 1) into 1 1.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.628 * [backup-simplify]: Simplify (log1p (expm1 (* (/ -1 (- f n)) (+ f n)))) into (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) 1.628 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 1.628 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in n 1.628 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 1.628 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in n 1.628 * [taylor]: Taking taylor expansion of 1 in n 1.628 * [backup-simplify]: Simplify 1 into 1 1.628 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 1.628 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 1.628 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 1.628 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.628 * [taylor]: Taking taylor expansion of -1 in n 1.628 * [backup-simplify]: Simplify -1 into -1 1.628 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.628 * [taylor]: Taking taylor expansion of (+ n f) in n 1.628 * [taylor]: Taking taylor expansion of n in n 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 1 into 1 1.628 * [taylor]: Taking taylor expansion of f in n 1.628 * [backup-simplify]: Simplify f into f 1.628 * [taylor]: Taking taylor expansion of (- f n) in n 1.628 * [taylor]: Taking taylor expansion of f in n 1.628 * [backup-simplify]: Simplify f into f 1.628 * [taylor]: Taking taylor expansion of n in n 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 1 into 1 1.628 * [backup-simplify]: Simplify (+ 0 f) into f 1.628 * [backup-simplify]: Simplify (- 0) into 0 1.629 * [backup-simplify]: Simplify (+ f 0) into f 1.629 * [backup-simplify]: Simplify (/ f f) into 1 1.629 * [backup-simplify]: Simplify (* -1 1) into -1 1.629 * [backup-simplify]: Simplify (exp -1) into (exp -1) 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 1.630 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.631 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 1.631 * [backup-simplify]: Simplify (log (exp -1)) into -1 1.631 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 1.631 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 1.631 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 1.631 * [taylor]: Taking taylor expansion of 1 in f 1.631 * [backup-simplify]: Simplify 1 into 1 1.631 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 1.631 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 1.631 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.631 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.631 * [taylor]: Taking taylor expansion of -1 in f 1.631 * [backup-simplify]: Simplify -1 into -1 1.631 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.631 * [taylor]: Taking taylor expansion of (+ n f) in f 1.631 * [taylor]: Taking taylor expansion of n in f 1.632 * [backup-simplify]: Simplify n into n 1.632 * [taylor]: Taking taylor expansion of f in f 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.632 * [taylor]: Taking taylor expansion of (- f n) in f 1.632 * [taylor]: Taking taylor expansion of f in f 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.632 * [taylor]: Taking taylor expansion of n in f 1.632 * [backup-simplify]: Simplify n into n 1.632 * [backup-simplify]: Simplify (+ n 0) into n 1.632 * [backup-simplify]: Simplify (- n) into (- n) 1.632 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.632 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.632 * [backup-simplify]: Simplify (* -1 -1) into 1 1.632 * [backup-simplify]: Simplify (exp 1) into E 1.632 * [taylor]: Taking taylor expansion of 1 in f 1.632 * [backup-simplify]: Simplify 1 into 1 1.632 * [backup-simplify]: Simplify (- 1) into -1 1.633 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 1.633 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 1.633 * [backup-simplify]: Simplify (log E) into 1 1.633 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 1.633 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 1.633 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 1.633 * [taylor]: Taking taylor expansion of 1 in f 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 1.633 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 1.633 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.634 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.634 * [taylor]: Taking taylor expansion of -1 in f 1.634 * [backup-simplify]: Simplify -1 into -1 1.634 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.634 * [taylor]: Taking taylor expansion of (+ n f) in f 1.634 * [taylor]: Taking taylor expansion of n in f 1.634 * [backup-simplify]: Simplify n into n 1.634 * [taylor]: Taking taylor expansion of f in f 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 1 into 1 1.634 * [taylor]: Taking taylor expansion of (- f n) in f 1.634 * [taylor]: Taking taylor expansion of f in f 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 1 into 1 1.634 * [taylor]: Taking taylor expansion of n in f 1.634 * [backup-simplify]: Simplify n into n 1.634 * [backup-simplify]: Simplify (+ n 0) into n 1.634 * [backup-simplify]: Simplify (- n) into (- n) 1.634 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.634 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.639 * [backup-simplify]: Simplify (* -1 -1) into 1 1.639 * [backup-simplify]: Simplify (exp 1) into E 1.639 * [taylor]: Taking taylor expansion of 1 in f 1.639 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (- 1) into -1 1.640 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 1.640 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 1.641 * [backup-simplify]: Simplify (log E) into 1 1.641 * [taylor]: Taking taylor expansion of 1 in n 1.641 * [backup-simplify]: Simplify 1 into 1 1.641 * [backup-simplify]: Simplify 1 into 1 1.641 * [backup-simplify]: Simplify (+ 0 1) into 1 1.641 * [backup-simplify]: Simplify (- 0) into 0 1.641 * [backup-simplify]: Simplify (+ 1 0) into 1 1.642 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.642 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.642 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 1.642 * [backup-simplify]: Simplify (- 0) into 0 1.642 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 1.642 * [backup-simplify]: Simplify (+ 0 (* 2 (/ E n))) into (* 2 (/ E n)) 1.643 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ E n))) 1)) (pow E 1)))) 1) into (/ 2 n) 1.643 * [taylor]: Taking taylor expansion of (/ 2 n) in n 1.643 * [taylor]: Taking taylor expansion of 2 in n 1.643 * [backup-simplify]: Simplify 2 into 2 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 1.643 * [backup-simplify]: Simplify (/ 2 1) into 2 1.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (+ 0 0) into 0 1.644 * [backup-simplify]: Simplify (- 0) into 0 1.645 * [backup-simplify]: Simplify (+ 0 0) into 0 1.645 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.645 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.646 * [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))) 1.646 * [backup-simplify]: Simplify (- 0) into 0 1.646 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 1.646 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 1.647 * [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)) 1.647 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 1.647 * [taylor]: Taking taylor expansion of 2 in n 1.647 * [backup-simplify]: Simplify 2 into 2 1.647 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.647 * [taylor]: Taking taylor expansion of n in n 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify (* 1 1) into 1 1.648 * [backup-simplify]: Simplify (/ 2 1) into 2 1.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify (+ 0 0) into 0 1.651 * [backup-simplify]: Simplify (- 0) into 0 1.651 * [backup-simplify]: Simplify (+ 0 0) into 0 1.651 * [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)))) 1.652 * [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))) 1.653 * [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))) 1.653 * [backup-simplify]: Simplify (- 0) into 0 1.653 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 1.653 * [backup-simplify]: Simplify (+ 0 (* 22/3 (/ E (pow n 3)))) into (* 22/3 (/ E (pow n 3))) 1.655 * [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)) 1.655 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 1.655 * [taylor]: Taking taylor expansion of 2 in n 1.655 * [backup-simplify]: Simplify 2 into 2 1.655 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.655 * [taylor]: Taking taylor expansion of n in n 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (* 1 1) into 1 1.656 * [backup-simplify]: Simplify (* 1 1) into 1 1.656 * [backup-simplify]: Simplify (/ 2 1) into 2 1.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (log1p (expm1 (* (/ -1 (- (/ 1 f) (/ 1 n))) (+ (/ 1 f) (/ 1 n))))) into (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1.661 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 1.661 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 1.661 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 1.661 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 1.661 * [taylor]: Taking taylor expansion of 1 in n 1.661 * [backup-simplify]: Simplify 1 into 1 1.661 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.661 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 1.661 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.661 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.661 * [taylor]: Taking taylor expansion of -1 in n 1.661 * [backup-simplify]: Simplify -1 into -1 1.661 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.661 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.661 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.661 * [taylor]: Taking taylor expansion of f in n 1.661 * [backup-simplify]: Simplify f into f 1.661 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.661 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.661 * [taylor]: Taking taylor expansion of n in n 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 f) (/ 1 n)) in n 1.661 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.661 * [taylor]: Taking taylor expansion of f in n 1.661 * [backup-simplify]: Simplify f into f 1.661 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.661 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.661 * [taylor]: Taking taylor expansion of n in n 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (/ 1 1) into 1 1.662 * [backup-simplify]: Simplify (+ 0 1) into 1 1.662 * [backup-simplify]: Simplify (- 1) into -1 1.662 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.663 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.663 * [backup-simplify]: Simplify (* -1 -1) into 1 1.663 * [backup-simplify]: Simplify (exp 1) into E 1.663 * [taylor]: Taking taylor expansion of 1 in n 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (- 1) into -1 1.663 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 1.664 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 1.664 * [backup-simplify]: Simplify (log E) into 1 1.664 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.664 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 1.664 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.664 * [taylor]: Taking taylor expansion of 1 in f 1.664 * [backup-simplify]: Simplify 1 into 1 1.664 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.664 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 1.664 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.664 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.664 * [taylor]: Taking taylor expansion of -1 in f 1.664 * [backup-simplify]: Simplify -1 into -1 1.664 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.664 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.665 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.665 * [taylor]: Taking taylor expansion of f in f 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.665 * [backup-simplify]: Simplify (/ 1 1) into 1 1.665 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.665 * [taylor]: Taking taylor expansion of n in f 1.665 * [backup-simplify]: Simplify n into n 1.665 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.665 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.665 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.665 * [taylor]: Taking taylor expansion of f in f 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.665 * [backup-simplify]: Simplify (/ 1 1) into 1 1.665 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.665 * [taylor]: Taking taylor expansion of n in f 1.665 * [backup-simplify]: Simplify n into n 1.665 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.666 * [backup-simplify]: Simplify (+ 1 0) into 1 1.666 * [backup-simplify]: Simplify (+ 1 0) into 1 1.666 * [backup-simplify]: Simplify (/ 1 1) into 1 1.666 * [backup-simplify]: Simplify (* -1 1) into -1 1.666 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.666 * [taylor]: Taking taylor expansion of 1 in f 1.667 * [backup-simplify]: Simplify 1 into 1 1.667 * [backup-simplify]: Simplify (- 1) into -1 1.667 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.668 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 1.669 * [backup-simplify]: Simplify (log (exp -1)) into -1 1.669 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.669 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 1.669 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.669 * [taylor]: Taking taylor expansion of 1 in f 1.669 * [backup-simplify]: Simplify 1 into 1 1.669 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.669 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 1.669 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.669 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.669 * [taylor]: Taking taylor expansion of -1 in f 1.669 * [backup-simplify]: Simplify -1 into -1 1.669 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.669 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.669 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.669 * [taylor]: Taking taylor expansion of f in f 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 1 into 1 1.669 * [backup-simplify]: Simplify (/ 1 1) into 1 1.669 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.669 * [taylor]: Taking taylor expansion of n in f 1.669 * [backup-simplify]: Simplify n into n 1.669 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.669 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.669 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.669 * [taylor]: Taking taylor expansion of f in f 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 1 into 1 1.670 * [backup-simplify]: Simplify (/ 1 1) into 1 1.670 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.670 * [taylor]: Taking taylor expansion of n in f 1.670 * [backup-simplify]: Simplify n into n 1.670 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.670 * [backup-simplify]: Simplify (+ 1 0) into 1 1.670 * [backup-simplify]: Simplify (+ 1 0) into 1 1.670 * [backup-simplify]: Simplify (/ 1 1) into 1 1.671 * [backup-simplify]: Simplify (* -1 1) into -1 1.671 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.671 * [taylor]: Taking taylor expansion of 1 in f 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [backup-simplify]: Simplify (- 1) into -1 1.672 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.672 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 1.673 * [backup-simplify]: Simplify (log (exp -1)) into -1 1.673 * [taylor]: Taking taylor expansion of -1 in n 1.673 * [backup-simplify]: Simplify -1 into -1 1.673 * [backup-simplify]: Simplify -1 into -1 1.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.674 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.674 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.674 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.675 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.675 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.675 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 1.676 * [backup-simplify]: Simplify (- 0) into 0 1.676 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 1.676 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 1.677 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 1.677 * [taylor]: Taking taylor expansion of (/ -2 n) in n 1.677 * [taylor]: Taking taylor expansion of -2 in n 1.677 * [backup-simplify]: Simplify -2 into -2 1.677 * [taylor]: Taking taylor expansion of n in n 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (/ -2 1) into -2 1.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.679 * [backup-simplify]: Simplify (+ 0 0) into 0 1.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.680 * [backup-simplify]: Simplify (- 0) into 0 1.680 * [backup-simplify]: Simplify (+ 0 0) into 0 1.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.681 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.681 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 1.682 * [backup-simplify]: Simplify (- 0) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.684 * [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)) 1.684 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 1.684 * [taylor]: Taking taylor expansion of -2 in n 1.684 * [backup-simplify]: Simplify -2 into -2 1.684 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.684 * [taylor]: Taking taylor expansion of n in n 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (* 1 1) into 1 1.684 * [backup-simplify]: Simplify (/ -2 1) into -2 1.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.688 * [backup-simplify]: Simplify (+ 0 0) into 0 1.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.689 * [backup-simplify]: Simplify (- 0) into 0 1.689 * [backup-simplify]: Simplify (+ 0 0) into 0 1.690 * [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))) 1.690 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 1.691 * [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))) 1.691 * [backup-simplify]: Simplify (- 0) into 0 1.692 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 1.692 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 1.695 * [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)) 1.695 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 1.695 * [taylor]: Taking taylor expansion of -2 in n 1.695 * [backup-simplify]: Simplify -2 into -2 1.695 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.695 * [taylor]: Taking taylor expansion of n in n 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify (* 1 1) into 1 1.696 * [backup-simplify]: Simplify (* 1 1) into 1 1.696 * [backup-simplify]: Simplify (/ -2 1) into -2 1.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify -1 into -1 1.701 * [backup-simplify]: Simplify (log1p (expm1 (* (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1.701 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 1.701 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 1.701 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 1.701 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 1.701 * [taylor]: Taking taylor expansion of 1 in n 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.701 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.701 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.701 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.701 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.701 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.701 * [taylor]: Taking taylor expansion of f in n 1.701 * [backup-simplify]: Simplify f into f 1.701 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.701 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.701 * [taylor]: Taking taylor expansion of n in n 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [backup-simplify]: Simplify (/ 1 1) into 1 1.701 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.701 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.701 * [taylor]: Taking taylor expansion of n in n 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.702 * [backup-simplify]: Simplify (/ 1 1) into 1 1.702 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.702 * [taylor]: Taking taylor expansion of f in n 1.702 * [backup-simplify]: Simplify f into f 1.702 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.702 * [backup-simplify]: Simplify (+ 0 1) into 1 1.702 * [backup-simplify]: Simplify (+ 1 0) into 1 1.703 * [backup-simplify]: Simplify (/ 1 1) into 1 1.703 * [backup-simplify]: Simplify (exp 1) into E 1.703 * [taylor]: Taking taylor expansion of 1 in n 1.703 * [backup-simplify]: Simplify 1 into 1 1.703 * [backup-simplify]: Simplify (- 1) into -1 1.703 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 1.704 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 1.704 * [backup-simplify]: Simplify (log E) into 1 1.704 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.704 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 1.704 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.704 * [taylor]: Taking taylor expansion of 1 in f 1.704 * [backup-simplify]: Simplify 1 into 1 1.704 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.704 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.704 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.704 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.704 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.704 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.704 * [taylor]: Taking taylor expansion of f in f 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 1 into 1 1.704 * [backup-simplify]: Simplify (/ 1 1) into 1 1.704 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.704 * [taylor]: Taking taylor expansion of n in f 1.704 * [backup-simplify]: Simplify n into n 1.705 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.705 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.705 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.705 * [taylor]: Taking taylor expansion of n in f 1.705 * [backup-simplify]: Simplify n into n 1.705 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.705 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.705 * [taylor]: Taking taylor expansion of f in f 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.705 * [backup-simplify]: Simplify (/ 1 1) into 1 1.705 * [backup-simplify]: Simplify (+ 1 0) into 1 1.705 * [backup-simplify]: Simplify (- 1) into -1 1.706 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.706 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.706 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.706 * [taylor]: Taking taylor expansion of 1 in f 1.706 * [backup-simplify]: Simplify 1 into 1 1.706 * [backup-simplify]: Simplify (- 1) into -1 1.707 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.708 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 1.708 * [backup-simplify]: Simplify (log (exp -1)) into -1 1.708 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.708 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 1.708 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.708 * [taylor]: Taking taylor expansion of 1 in f 1.708 * [backup-simplify]: Simplify 1 into 1 1.708 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.708 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.708 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.708 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.708 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.708 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.708 * [taylor]: Taking taylor expansion of f in f 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 1 into 1 1.709 * [backup-simplify]: Simplify (/ 1 1) into 1 1.709 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.709 * [taylor]: Taking taylor expansion of n in f 1.709 * [backup-simplify]: Simplify n into n 1.709 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.709 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.709 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.709 * [taylor]: Taking taylor expansion of n in f 1.709 * [backup-simplify]: Simplify n into n 1.709 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.709 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.709 * [taylor]: Taking taylor expansion of f in f 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 1 into 1 1.709 * [backup-simplify]: Simplify (/ 1 1) into 1 1.709 * [backup-simplify]: Simplify (+ 1 0) into 1 1.710 * [backup-simplify]: Simplify (- 1) into -1 1.710 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.710 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.710 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.710 * [taylor]: Taking taylor expansion of 1 in f 1.710 * [backup-simplify]: Simplify 1 into 1 1.711 * [backup-simplify]: Simplify (- 1) into -1 1.711 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.712 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 1.713 * [backup-simplify]: Simplify (log (exp -1)) into -1 1.713 * [taylor]: Taking taylor expansion of -1 in n 1.713 * [backup-simplify]: Simplify -1 into -1 1.713 * [backup-simplify]: Simplify -1 into -1 1.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.714 * [backup-simplify]: Simplify (- 0) into 0 1.714 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.714 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.714 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 1.715 * [backup-simplify]: Simplify (- 0) into 0 1.715 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 1.715 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 1.716 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 1.716 * [taylor]: Taking taylor expansion of (/ -2 n) in n 1.716 * [taylor]: Taking taylor expansion of -2 in n 1.716 * [backup-simplify]: Simplify -2 into -2 1.716 * [taylor]: Taking taylor expansion of n in n 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.717 * [backup-simplify]: Simplify (/ -2 1) into -2 1.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.718 * [backup-simplify]: Simplify (+ 0 0) into 0 1.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.719 * [backup-simplify]: Simplify (- 0) into 0 1.719 * [backup-simplify]: Simplify (+ 0 0) into 0 1.720 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.720 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 1.721 * [backup-simplify]: Simplify (- 0) into 0 1.721 * [backup-simplify]: Simplify (+ 0 0) into 0 1.721 * [backup-simplify]: Simplify (+ 0 0) into 0 1.723 * [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)) 1.723 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 1.723 * [taylor]: Taking taylor expansion of -2 in n 1.723 * [backup-simplify]: Simplify -2 into -2 1.723 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.723 * [taylor]: Taking taylor expansion of n in n 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify 1 into 1 1.723 * [backup-simplify]: Simplify (* 1 1) into 1 1.723 * [backup-simplify]: Simplify (/ -2 1) into -2 1.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.725 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.727 * [backup-simplify]: Simplify (+ 0 0) into 0 1.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.728 * [backup-simplify]: Simplify (- 0) into 0 1.728 * [backup-simplify]: Simplify (+ 0 0) into 0 1.729 * [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)))) 1.730 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 1.730 * [backup-simplify]: Simplify (- 0) into 0 1.730 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 1.731 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 1.739 * [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)) 1.739 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 1.739 * [taylor]: Taking taylor expansion of -2 in n 1.739 * [backup-simplify]: Simplify -2 into -2 1.739 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.739 * [taylor]: Taking taylor expansion of n in n 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [backup-simplify]: Simplify (* 1 1) into 1 1.739 * [backup-simplify]: Simplify (* 1 1) into 1 1.740 * [backup-simplify]: Simplify (/ -2 1) into -2 1.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify -1 into -1 1.744 * * * [progress]: simplifying candidates 1.746 * [simplify]: Simplifying: (exp (* (/ -1 (- f n)) (+ f n))) (expm1 (expm1 (* (/ -1 (- f n)) (+ f n)))) (log1p (expm1 (* (/ -1 (- f n)) (+ f n)))) (log (expm1 (* (/ -1 (- f n)) (+ f n)))) (exp (expm1 (* (/ -1 (- f n)) (+ f n)))) (* (cbrt (expm1 (* (/ -1 (- f n)) (+ f n)))) (cbrt (expm1 (* (/ -1 (- f n)) (+ f n))))) (cbrt (expm1 (* (/ -1 (- f n)) (+ f n)))) (* (* (expm1 (* (/ -1 (- f n)) (+ f n))) (expm1 (* (/ -1 (- f n)) (+ f n)))) (expm1 (* (/ -1 (- f n)) (+ f n)))) (sqrt (expm1 (* (/ -1 (- f n)) (+ f n)))) (sqrt (expm1 (* (/ -1 (- f n)) (+ f n)))) (expm1 (* (/ -1 (- f n)) (+ f n))) (log1p (* (/ -1 (- f n)) (+ f n))) (* (/ -1 (- f n)) (+ f n)) (+ (- (log -1) (log (- f n))) (log (+ f n))) (+ (log (/ -1 (- f n))) (log (+ f n))) (log (* (/ -1 (- f n)) (+ f n))) (exp (* (/ -1 (- f n)) (+ f n))) (* (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (* (* (+ f n) (+ f n)) (+ f n))) (* (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (* (/ -1 (- f n)) (+ f n))) (cbrt (* (/ -1 (- f n)) (+ f n)))) (cbrt (* (/ -1 (- f n)) (+ f n))) (* (* (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- f n)) (+ f n))) (* (/ -1 (- f n)) (+ f n))) (sqrt (* (/ -1 (- f n)) (+ f n))) (sqrt (* (/ -1 (- f n)) (+ f n))) (* -1 (+ (pow f 3) (pow n 3))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* -1 (- (* f f) (* n n))) (* (- f n) (- f n)) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (* (/ -1 (- f n)) f) (* (/ -1 (- f n)) n) (* f (/ -1 (- f n))) (* n (/ -1 (- f n))) (* (/ -1 (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (/ -1 (- f n)) (sqrt (+ f n))) (* (/ -1 (- f n)) 1) (* (/ -1 (- f n)) 1) (* (cbrt (/ -1 (- f n))) (+ f n)) (* (sqrt (/ -1 (- f n))) (+ f n)) (* (/ (cbrt -1) (cbrt (- f n))) (+ f n)) (* (/ (cbrt -1) (sqrt (- f n))) (+ f n)) (* (/ (cbrt -1) (- f n)) (+ f n)) (* (/ (cbrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (cbrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (cbrt (- f n))) (+ f n)) (* (/ (sqrt -1) (sqrt (- f n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (* (/ -1 (cbrt (- f n))) (+ f n)) (* (/ -1 (sqrt (- f n))) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- (sqrt f) (sqrt n))) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ 1 (- f n)) (+ f n)) (* (+ (* f f) (+ (* n n) (* f n))) (+ f n)) (* (+ f n) (+ f n)) (* (/ -1 (- f n)) (+ (pow f 3) (pow n 3))) (* (/ -1 (- f n)) (- (* f f) (* n n))) (* -1 (+ f n)) (expm1 (/ -1 (- f n))) (log1p (/ -1 (- f n))) (- (log -1) (log (- f n))) (log (/ -1 (- f n))) (exp (/ -1 (- f n))) (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (cbrt (/ -1 (- f n))) (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (sqrt (/ -1 (- f n))) (sqrt (/ -1 (- f n))) (- -1) (- (- f n)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt -1) (cbrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) 1) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (- (sqrt f) (sqrt n))) (/ (sqrt -1) 1) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ 1 1) (/ -1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (- (sqrt f) (sqrt n))) (/ 1 1) (/ -1 (- f n)) (/ 1 (- f n)) (/ (- f n) -1) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) (/ -1 1) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 1) (/ (- f n) (cbrt -1)) (/ (- f n) (sqrt -1)) (/ (- f n) -1) (/ -1 (- (pow f 3) (pow n 3))) (/ -1 (- (* f f) (* n n))) (+ 1 (expm1 (* (/ -1 (- f n)) (+ f n)))) (expm1 (log1p (expm1 (* (/ -1 (- f n)) (+ f n))))) (log1p (log1p (expm1 (* (/ -1 (- f n)) (+ f n))))) (log (log1p (expm1 (* (/ -1 (- f n)) (+ f n))))) (exp (log1p (expm1 (* (/ -1 (- f n)) (+ f n))))) (* (cbrt (log1p (expm1 (* (/ -1 (- f n)) (+ f n))))) (cbrt (log1p (expm1 (* (/ -1 (- f n)) (+ f n)))))) (cbrt (log1p (expm1 (* (/ -1 (- f n)) (+ f n))))) (* (* (log1p (expm1 (* (/ -1 (- f n)) (+ f n)))) (log1p (expm1 (* (/ -1 (- f n)) (+ f n))))) (log1p (expm1 (* (/ -1 (- f n)) (+ f n))))) (sqrt (log1p (expm1 (* (/ -1 (- f n)) (+ f n))))) (sqrt (log1p (expm1 (* (/ -1 (- f n)) (+ f n))))) (- E 1) (- (exp -1) 1) (- (exp -1) 1) 1 -1 -1 0 0 0 1 -1 -1 1.746 * [simplify]: Sending expressions to egg_math: (exp (* (/ -1 (- h1 h0)) (+ h1 h0))) (expm1 (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0)))) (log1p (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0)))) (log (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0)))) (exp (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0)))) (* (cbrt (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0)))) (cbrt (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0))))) (cbrt (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0)))) (* (* (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0))) (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0)))) (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0)))) (sqrt (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0)))) (sqrt (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0)))) (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0))) (log1p (* (/ -1 (- h1 h0)) (+ h1 h0))) (* (/ -1 (- h1 h0)) (+ h1 h0)) (+ (- (log -1) (log (- h1 h0))) (log (+ h1 h0))) (+ (log (/ -1 (- h1 h0))) (log (+ h1 h0))) (log (* (/ -1 (- h1 h0)) (+ h1 h0))) (exp (* (/ -1 (- h1 h0)) (+ h1 h0))) (* (/ (* (* -1 -1) -1) (* (* (- h1 h0) (- h1 h0)) (- h1 h0))) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (* (* (/ -1 (- h1 h0)) (/ -1 (- h1 h0))) (/ -1 (- h1 h0))) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* (/ -1 (- h1 h0)) (+ h1 h0))) (cbrt (* (/ -1 (- h1 h0)) (+ h1 h0)))) (cbrt (* (/ -1 (- h1 h0)) (+ h1 h0))) (* (* (* (/ -1 (- h1 h0)) (+ h1 h0)) (* (/ -1 (- h1 h0)) (+ h1 h0))) (* (/ -1 (- h1 h0)) (+ h1 h0))) (sqrt (* (/ -1 (- h1 h0)) (+ h1 h0))) (sqrt (* (/ -1 (- h1 h0)) (+ h1 h0))) (* -1 (+ (pow h1 3) (pow h0 3))) (* (- h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* -1 (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- h1 h0)) (* (sqrt (/ -1 (- h1 h0))) (sqrt (+ h1 h0))) (* (sqrt (/ -1 (- h1 h0))) (sqrt (+ h1 h0))) (* (/ (sqrt -1) (sqrt (- h1 h0))) (sqrt (+ h1 h0))) (* (/ (sqrt -1) (sqrt (- h1 h0))) (sqrt (+ h1 h0))) (* (/ -1 (- h1 h0)) h1) (* (/ -1 (- h1 h0)) h0) (* h1 (/ -1 (- h1 h0))) (* h0 (/ -1 (- h1 h0))) (* (/ -1 (- h1 h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (/ -1 (- h1 h0)) (sqrt (+ h1 h0))) (* (/ -1 (- h1 h0)) 1) (* (/ -1 (- h1 h0)) 1) (* (cbrt (/ -1 (- h1 h0))) (+ h1 h0)) (* (sqrt (/ -1 (- h1 h0))) (+ h1 h0)) (* (/ (cbrt -1) (cbrt (- h1 h0))) (+ h1 h0)) (* (/ (cbrt -1) (sqrt (- h1 h0))) (+ h1 h0)) (* (/ (cbrt -1) (- h1 h0)) (+ h1 h0)) (* (/ (cbrt -1) (- (sqrt h1) (sqrt h0))) (+ h1 h0)) (* (/ (cbrt -1) (- h1 h0)) (+ h1 h0)) (* (/ (sqrt -1) (cbrt (- h1 h0))) (+ h1 h0)) (* (/ (sqrt -1) (sqrt (- h1 h0))) (+ h1 h0)) (* (/ (sqrt -1) (- h1 h0)) (+ h1 h0)) (* (/ (sqrt -1) (- (sqrt h1) (sqrt h0))) (+ h1 h0)) (* (/ (sqrt -1) (- h1 h0)) (+ h1 h0)) (* (/ -1 (cbrt (- h1 h0))) (+ h1 h0)) (* (/ -1 (sqrt (- h1 h0))) (+ h1 h0)) (* (/ -1 (- h1 h0)) (+ h1 h0)) (* (/ -1 (- (sqrt h1) (sqrt h0))) (+ h1 h0)) (* (/ -1 (- h1 h0)) (+ h1 h0)) (* (/ -1 (- h1 h0)) (+ h1 h0)) (* (/ 1 (- h1 h0)) (+ h1 h0)) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (+ h1 h0)) (* (+ h1 h0) (+ h1 h0)) (* (/ -1 (- h1 h0)) (+ (pow h1 3) (pow h0 3))) (* (/ -1 (- h1 h0)) (- (* h1 h1) (* h0 h0))) (* -1 (+ h1 h0)) (expm1 (/ -1 (- h1 h0))) (log1p (/ -1 (- h1 h0))) (- (log -1) (log (- h1 h0))) (log (/ -1 (- h1 h0))) (exp (/ -1 (- h1 h0))) (/ (* (* -1 -1) -1) (* (* (- h1 h0) (- h1 h0)) (- h1 h0))) (* (cbrt (/ -1 (- h1 h0))) (cbrt (/ -1 (- h1 h0)))) (cbrt (/ -1 (- h1 h0))) (* (* (/ -1 (- h1 h0)) (/ -1 (- h1 h0))) (/ -1 (- h1 h0))) (sqrt (/ -1 (- h1 h0))) (sqrt (/ -1 (- h1 h0))) (- -1) (- (- h1 h0)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (cbrt -1) (cbrt (- h1 h0))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- h1 h0))) (/ (cbrt -1) (sqrt (- h1 h0))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- h1 h0)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt h1) (sqrt h0))) (/ (cbrt -1) (- (sqrt h1) (sqrt h0))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- h1 h0)) (/ (sqrt -1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (sqrt -1) (cbrt (- h1 h0))) (/ (sqrt -1) (sqrt (- h1 h0))) (/ (sqrt -1) (sqrt (- h1 h0))) (/ (sqrt -1) 1) (/ (sqrt -1) (- h1 h0)) (/ (sqrt -1) (+ (sqrt h1) (sqrt h0))) (/ (sqrt -1) (- (sqrt h1) (sqrt h0))) (/ (sqrt -1) 1) (/ (sqrt -1) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ -1 (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ -1 (sqrt (- h1 h0))) (/ 1 1) (/ -1 (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ -1 (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ -1 (- h1 h0)) (/ 1 (- h1 h0)) (/ (- h1 h0) -1) (/ -1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ -1 (sqrt (- h1 h0))) (/ -1 1) (/ -1 (+ (sqrt h1) (sqrt h0))) (/ -1 1) (/ (- h1 h0) (cbrt -1)) (/ (- h1 h0) (sqrt -1)) (/ (- h1 h0) -1) (/ -1 (- (pow h1 3) (pow h0 3))) (/ -1 (- (* h1 h1) (* h0 h0))) (+ 1 (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0)))) (expm1 (log1p (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0))))) (log1p (log1p (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0))))) (log (log1p (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0))))) (exp (log1p (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0))))) (* (cbrt (log1p (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0))))) (cbrt (log1p (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0)))))) (cbrt (log1p (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0))))) (* (* (log1p (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0)))) (log1p (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0))))) (log1p (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0))))) (sqrt (log1p (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0))))) (sqrt (log1p (expm1 (* (/ -1 (- h1 h0)) (+ h1 h0))))) (- h2 1) (- (exp -1) 1) (- (exp -1) 1) 1 -1 -1 0 0 0 1 -1 -1 1.751 * * [simplify]: iteration 0 : 456 enodes (cost 629 ) 1.759 * * [simplify]: iteration 1 : 1755 enodes (cost 575 ) 1.791 * * [simplify]: iteration 2 : 5003 enodes (cost 545 ) 1.794 * * * [progress]: adding candidates to table 2.037 * * [progress]: iteration 4 / 4 2.037 * * * [progress]: picking best candidate 2.040 * * * * [pick]: Picked # 2.040 * * * [progress]: localizing error 2.049 * * * [progress]: generating rewritten candidates 2.049 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 2.049 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 2.084 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.088 * * * [progress]: generating series expansions 2.088 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 2.089 * [backup-simplify]: Simplify (log1p (/ (- (+ f n)) (- f n))) into (log1p (* -1 (/ (+ n f) (- f n)))) 2.089 * [approximate]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 2.089 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in n 2.089 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.089 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in n 2.089 * [taylor]: Taking taylor expansion of 1 in n 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.089 * [taylor]: Taking taylor expansion of -1 in n 2.089 * [backup-simplify]: Simplify -1 into -1 2.089 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.089 * [taylor]: Taking taylor expansion of (+ n f) in n 2.089 * [taylor]: Taking taylor expansion of n in n 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [taylor]: Taking taylor expansion of f in n 2.089 * [backup-simplify]: Simplify f into f 2.089 * [taylor]: Taking taylor expansion of (- f n) in n 2.089 * [taylor]: Taking taylor expansion of f in n 2.089 * [backup-simplify]: Simplify f into f 2.089 * [taylor]: Taking taylor expansion of n in n 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [backup-simplify]: Simplify (+ 0 f) into f 2.090 * [backup-simplify]: Simplify (- 0) into 0 2.090 * [backup-simplify]: Simplify (+ f 0) into f 2.090 * [backup-simplify]: Simplify (/ f f) into 1 2.090 * [backup-simplify]: Simplify (* -1 1) into -1 2.090 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.091 * [backup-simplify]: Simplify (+ 1 0) into 1 2.091 * [backup-simplify]: Simplify (- 1) into -1 2.091 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.091 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 2.092 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 2.092 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 f)))) into (- (* 2 (/ 1 f))) 2.092 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 f)))) into (log (- (* 2 (/ 1 f)))) 2.092 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 2.092 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.092 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 2.092 * [taylor]: Taking taylor expansion of 1 in f 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.092 * [taylor]: Taking taylor expansion of -1 in f 2.092 * [backup-simplify]: Simplify -1 into -1 2.092 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.092 * [taylor]: Taking taylor expansion of (+ n f) in f 2.092 * [taylor]: Taking taylor expansion of n in f 2.092 * [backup-simplify]: Simplify n into n 2.092 * [taylor]: Taking taylor expansion of f in f 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [taylor]: Taking taylor expansion of (- f n) in f 2.092 * [taylor]: Taking taylor expansion of f in f 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [taylor]: Taking taylor expansion of n in f 2.092 * [backup-simplify]: Simplify n into n 2.092 * [backup-simplify]: Simplify (+ n 0) into n 2.092 * [backup-simplify]: Simplify (- n) into (- n) 2.092 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.092 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.093 * [backup-simplify]: Simplify (* -1 -1) into 1 2.093 * [backup-simplify]: Simplify (+ 1 1) into 2 2.093 * [backup-simplify]: Simplify (log 2) into (log 2) 2.093 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 2.093 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.093 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 2.093 * [taylor]: Taking taylor expansion of 1 in f 2.093 * [backup-simplify]: Simplify 1 into 1 2.093 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.093 * [taylor]: Taking taylor expansion of -1 in f 2.093 * [backup-simplify]: Simplify -1 into -1 2.093 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.093 * [taylor]: Taking taylor expansion of (+ n f) in f 2.093 * [taylor]: Taking taylor expansion of n in f 2.094 * [backup-simplify]: Simplify n into n 2.094 * [taylor]: Taking taylor expansion of f in f 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [taylor]: Taking taylor expansion of (- f n) in f 2.094 * [taylor]: Taking taylor expansion of f in f 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [taylor]: Taking taylor expansion of n in f 2.094 * [backup-simplify]: Simplify n into n 2.094 * [backup-simplify]: Simplify (+ n 0) into n 2.094 * [backup-simplify]: Simplify (- n) into (- n) 2.094 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.094 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.094 * [backup-simplify]: Simplify (* -1 -1) into 1 2.094 * [backup-simplify]: Simplify (+ 1 1) into 2 2.094 * [backup-simplify]: Simplify (log 2) into (log 2) 2.095 * [taylor]: Taking taylor expansion of (log 2) in n 2.095 * [taylor]: Taking taylor expansion of 2 in n 2.095 * [backup-simplify]: Simplify 2 into 2 2.095 * [backup-simplify]: Simplify (log 2) into (log 2) 2.095 * [backup-simplify]: Simplify (log 2) into (log 2) 2.095 * [backup-simplify]: Simplify (+ 0 1) into 1 2.096 * [backup-simplify]: Simplify (- 0) into 0 2.096 * [backup-simplify]: Simplify (+ 1 0) into 1 2.096 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.096 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.096 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 n))) into (* 2 (/ 1 n)) 2.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 2 1)))) 1) into (/ 1 n) 2.097 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.097 * [taylor]: Taking taylor expansion of n in n 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 1 into 1 2.097 * [backup-simplify]: Simplify (/ 1 1) into 1 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify (+ 0 0) into 0 2.099 * [backup-simplify]: Simplify (- 0) into 0 2.099 * [backup-simplify]: Simplify (+ 0 0) into 0 2.099 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.100 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.100 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 (pow n 2)))) into (* 2 (/ 1 (pow n 2))) 2.101 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 2 1)))) 2) into (/ 1/2 (pow n 2)) 2.101 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 2.101 * [taylor]: Taking taylor expansion of 1/2 in n 2.101 * [backup-simplify]: Simplify 1/2 into 1/2 2.101 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.101 * [taylor]: Taking taylor expansion of n in n 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 1 into 1 2.101 * [backup-simplify]: Simplify (* 1 1) into 1 2.101 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify (+ 0 0) into 0 2.106 * [backup-simplify]: Simplify (- 0) into 0 2.106 * [backup-simplify]: Simplify (+ 0 0) into 0 2.106 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 2.107 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 2.107 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 (pow n 3)))) into (* 2 (/ 1 (pow n 3))) 2.108 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 n))) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1) (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow n 3)))) 1)) (pow 2 1)))) 6) into (/ 1/3 (pow n 3)) 2.108 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 2.108 * [taylor]: Taking taylor expansion of 1/3 in n 2.108 * [backup-simplify]: Simplify 1/3 into 1/3 2.108 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.108 * [taylor]: Taking taylor expansion of n in n 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (* 1 1) into 1 2.109 * [backup-simplify]: Simplify (* 1 1) into 1 2.109 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 2.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify (log 2) into (log 2) 2.114 * [backup-simplify]: Simplify (log1p (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2.114 * [approximate]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 2.114 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.114 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.114 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.114 * [taylor]: Taking taylor expansion of 1 in n 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.114 * [taylor]: Taking taylor expansion of -1 in n 2.114 * [backup-simplify]: Simplify -1 into -1 2.114 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.114 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.114 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.114 * [taylor]: Taking taylor expansion of f in n 2.114 * [backup-simplify]: Simplify f into f 2.114 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.114 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.114 * [taylor]: Taking taylor expansion of n in n 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.115 * [backup-simplify]: Simplify (/ 1 1) into 1 2.115 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.115 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.115 * [taylor]: Taking taylor expansion of f in n 2.115 * [backup-simplify]: Simplify f into f 2.115 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.115 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.115 * [taylor]: Taking taylor expansion of n in n 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 1 into 1 2.115 * [backup-simplify]: Simplify (/ 1 1) into 1 2.115 * [backup-simplify]: Simplify (+ 0 1) into 1 2.115 * [backup-simplify]: Simplify (- 1) into -1 2.116 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.116 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.116 * [backup-simplify]: Simplify (* -1 -1) into 1 2.116 * [backup-simplify]: Simplify (+ 1 1) into 2 2.117 * [backup-simplify]: Simplify (log 2) into (log 2) 2.117 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.117 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.117 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.117 * [taylor]: Taking taylor expansion of 1 in f 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.117 * [taylor]: Taking taylor expansion of -1 in f 2.117 * [backup-simplify]: Simplify -1 into -1 2.117 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.117 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.117 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.117 * [taylor]: Taking taylor expansion of f in f 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [backup-simplify]: Simplify (/ 1 1) into 1 2.117 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.117 * [taylor]: Taking taylor expansion of n in f 2.117 * [backup-simplify]: Simplify n into n 2.117 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.117 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.117 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.117 * [taylor]: Taking taylor expansion of f in f 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.118 * [backup-simplify]: Simplify (/ 1 1) into 1 2.118 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.118 * [taylor]: Taking taylor expansion of n in f 2.118 * [backup-simplify]: Simplify n into n 2.118 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.118 * [backup-simplify]: Simplify (+ 1 0) into 1 2.118 * [backup-simplify]: Simplify (+ 1 0) into 1 2.118 * [backup-simplify]: Simplify (/ 1 1) into 1 2.119 * [backup-simplify]: Simplify (* -1 1) into -1 2.119 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.120 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.120 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.120 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.120 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.120 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 2.120 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 n)))) into (log (- (* 2 (/ 1 n)))) 2.120 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.121 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.121 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.121 * [taylor]: Taking taylor expansion of 1 in f 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.121 * [taylor]: Taking taylor expansion of -1 in f 2.121 * [backup-simplify]: Simplify -1 into -1 2.121 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.121 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.121 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.121 * [taylor]: Taking taylor expansion of f in f 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (/ 1 1) into 1 2.121 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.121 * [taylor]: Taking taylor expansion of n in f 2.121 * [backup-simplify]: Simplify n into n 2.121 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.121 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.121 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.121 * [taylor]: Taking taylor expansion of f in f 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (/ 1 1) into 1 2.121 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.121 * [taylor]: Taking taylor expansion of n in f 2.121 * [backup-simplify]: Simplify n into n 2.121 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.122 * [backup-simplify]: Simplify (+ 1 0) into 1 2.122 * [backup-simplify]: Simplify (+ 1 0) into 1 2.122 * [backup-simplify]: Simplify (/ 1 1) into 1 2.123 * [backup-simplify]: Simplify (* -1 1) into -1 2.123 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.123 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.124 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.124 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.124 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.124 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.124 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 2.124 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 n)))) into (log (- (* 2 (/ 1 n)))) 2.125 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 2.125 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.125 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.125 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.125 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.125 * [taylor]: Taking taylor expansion of 2 in n 2.125 * [backup-simplify]: Simplify 2 into 2 2.125 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.125 * [taylor]: Taking taylor expansion of n in n 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify 1 into 1 2.125 * [backup-simplify]: Simplify (/ 1 1) into 1 2.126 * [backup-simplify]: Simplify (* 2 1) into 2 2.126 * [backup-simplify]: Simplify (- 2) into -2 2.126 * [backup-simplify]: Simplify (- 2) into -2 2.126 * [backup-simplify]: Simplify (log -2) into (log -2) 2.126 * [taylor]: Taking taylor expansion of (log f) in n 2.126 * [taylor]: Taking taylor expansion of f in n 2.126 * [backup-simplify]: Simplify f into f 2.126 * [backup-simplify]: Simplify (log f) into (log f) 2.127 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 2.127 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 2.128 * [backup-simplify]: Simplify (- (+ (log -2) (log f)) (log n)) into (- (+ (log -2) (log f)) (log n)) 2.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.129 * [backup-simplify]: Simplify (+ 0 0) into 0 2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.129 * [backup-simplify]: Simplify (- 0) into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.131 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.131 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 2))))) into (- (* 2 (/ 1 (pow n 2)))) 2.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 1) into (/ 1 n) 2.131 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.131 * [taylor]: Taking taylor expansion of n in n 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.131 * [backup-simplify]: Simplify (/ 1 1) into 1 2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.136 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.137 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.137 * [backup-simplify]: Simplify (- 0) into 0 2.137 * [backup-simplify]: Simplify (- 2) into -2 2.138 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 2.139 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 2.139 * [backup-simplify]: Simplify (+ 0 0) into 0 2.139 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.140 * [backup-simplify]: Simplify (+ 0 0) into 0 2.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.141 * [backup-simplify]: Simplify (- 0) into 0 2.141 * [backup-simplify]: Simplify (+ 0 0) into 0 2.142 * [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))) 2.143 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.143 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 3))))) into (- (* 2 (/ 1 (pow n 3)))) 2.144 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 2)) (pow (- (* 2 (/ 1 n))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 2) into (/ 1/2 (pow n 2)) 2.144 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 2.144 * [taylor]: Taking taylor expansion of 1/2 in n 2.144 * [backup-simplify]: Simplify 1/2 into 1/2 2.144 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.144 * [taylor]: Taking taylor expansion of n in n 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.144 * [backup-simplify]: Simplify (* 1 1) into 1 2.144 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify (- 0) into 0 2.147 * [backup-simplify]: Simplify (- 2) into -2 2.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.148 * [backup-simplify]: Simplify (- 0) into 0 2.149 * [backup-simplify]: Simplify (- 2) into -2 2.150 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 2.151 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 2.151 * [backup-simplify]: Simplify (+ 0 0) into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.152 * [backup-simplify]: Simplify (+ 0 0) into 0 2.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.153 * [backup-simplify]: Simplify (- 0) into 0 2.153 * [backup-simplify]: Simplify (+ 0 0) into 0 2.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ 0 1)) (* (* 2 (/ 1 (pow n 3))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 4))) 2.156 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 4)))) (+ (* 0 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))))) into (- (* 2 (/ 1 (pow n 4)))) 2.156 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 4))))) into (- (* 2 (/ 1 (pow n 4)))) 2.157 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 3)) (pow (- (* 2 (/ 1 n))) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow (- (* 2 (/ 1 n))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 4))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 6) into (/ 1/3 (pow n 3)) 2.157 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 2.157 * [taylor]: Taking taylor expansion of 1/3 in n 2.157 * [backup-simplify]: Simplify 1/3 into 1/3 2.157 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.157 * [taylor]: Taking taylor expansion of n in n 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 1 into 1 2.157 * [backup-simplify]: Simplify (* 1 1) into 1 2.157 * [backup-simplify]: Simplify (* 1 1) into 1 2.158 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 2.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify (- (+ (log -2) (log (/ 1 f))) (log (/ 1 n))) into (- (+ (log -2) (log (/ 1 f))) (log (/ 1 n))) 2.162 * [backup-simplify]: Simplify (log1p (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 2.163 * [approximate]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 2.163 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.163 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.163 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.163 * [taylor]: Taking taylor expansion of 1 in n 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.163 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.163 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.163 * [taylor]: Taking taylor expansion of f in n 2.163 * [backup-simplify]: Simplify f into f 2.163 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.163 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.163 * [taylor]: Taking taylor expansion of n in n 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify (/ 1 1) into 1 2.163 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.163 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.163 * [taylor]: Taking taylor expansion of n in n 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify (/ 1 1) into 1 2.163 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.163 * [taylor]: Taking taylor expansion of f in n 2.164 * [backup-simplify]: Simplify f into f 2.164 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.164 * [backup-simplify]: Simplify (+ 0 1) into 1 2.164 * [backup-simplify]: Simplify (+ 1 0) into 1 2.164 * [backup-simplify]: Simplify (/ 1 1) into 1 2.164 * [backup-simplify]: Simplify (+ 1 1) into 2 2.165 * [backup-simplify]: Simplify (log 2) into (log 2) 2.165 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.165 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.165 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.165 * [taylor]: Taking taylor expansion of 1 in f 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.165 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.165 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.165 * [taylor]: Taking taylor expansion of f in f 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [backup-simplify]: Simplify (/ 1 1) into 1 2.165 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.165 * [taylor]: Taking taylor expansion of n in f 2.165 * [backup-simplify]: Simplify n into n 2.165 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.165 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.165 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.165 * [taylor]: Taking taylor expansion of n in f 2.165 * [backup-simplify]: Simplify n into n 2.165 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.165 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.165 * [taylor]: Taking taylor expansion of f in f 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.166 * [backup-simplify]: Simplify (/ 1 1) into 1 2.166 * [backup-simplify]: Simplify (+ 1 0) into 1 2.166 * [backup-simplify]: Simplify (- 1) into -1 2.166 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.167 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.167 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.168 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.168 * [backup-simplify]: Simplify (- 0) into 0 2.168 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.168 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.168 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 2.169 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 n)))) into (log (- (* 2 (/ 1 n)))) 2.169 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.169 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.169 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.169 * [taylor]: Taking taylor expansion of 1 in f 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.169 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.169 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.169 * [taylor]: Taking taylor expansion of f in f 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [backup-simplify]: Simplify (/ 1 1) into 1 2.169 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.169 * [taylor]: Taking taylor expansion of n in f 2.169 * [backup-simplify]: Simplify n into n 2.169 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.169 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.169 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.169 * [taylor]: Taking taylor expansion of n in f 2.169 * [backup-simplify]: Simplify n into n 2.169 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.169 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.169 * [taylor]: Taking taylor expansion of f in f 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [backup-simplify]: Simplify (/ 1 1) into 1 2.170 * [backup-simplify]: Simplify (+ 1 0) into 1 2.170 * [backup-simplify]: Simplify (- 1) into -1 2.170 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.170 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.171 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.171 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.172 * [backup-simplify]: Simplify (- 0) into 0 2.172 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.172 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.172 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 2.172 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 n)))) into (log (- (* 2 (/ 1 n)))) 2.172 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 2.173 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.173 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.173 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.173 * [taylor]: Taking taylor expansion of 2 in n 2.173 * [backup-simplify]: Simplify 2 into 2 2.173 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.173 * [taylor]: Taking taylor expansion of n in n 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 1 into 1 2.173 * [backup-simplify]: Simplify (/ 1 1) into 1 2.173 * [backup-simplify]: Simplify (* 2 1) into 2 2.173 * [backup-simplify]: Simplify (- 2) into -2 2.174 * [backup-simplify]: Simplify (- 2) into -2 2.174 * [backup-simplify]: Simplify (log -2) into (log -2) 2.174 * [taylor]: Taking taylor expansion of (log f) in n 2.174 * [taylor]: Taking taylor expansion of f in n 2.174 * [backup-simplify]: Simplify f into f 2.174 * [backup-simplify]: Simplify (log f) into (log f) 2.174 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 2.175 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 2.175 * [backup-simplify]: Simplify (- (+ (log -2) (log f)) (log n)) into (- (+ (log -2) (log f)) (log n)) 2.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.176 * [backup-simplify]: Simplify (+ 0 0) into 0 2.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.177 * [backup-simplify]: Simplify (- 0) into 0 2.177 * [backup-simplify]: Simplify (+ 0 0) into 0 2.177 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.178 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 2))))) into (- (* 2 (/ 1 (pow n 2)))) 2.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 1) into (/ 1 n) 2.178 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.178 * [taylor]: Taking taylor expansion of n in n 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 1 into 1 2.178 * [backup-simplify]: Simplify (/ 1 1) into 1 2.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.180 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.180 * [backup-simplify]: Simplify (- 0) into 0 2.180 * [backup-simplify]: Simplify (- 2) into -2 2.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 2.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 2.181 * [backup-simplify]: Simplify (+ 0 0) into 0 2.181 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.182 * [backup-simplify]: Simplify (+ 0 0) into 0 2.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.183 * [backup-simplify]: Simplify (- 0) into 0 2.183 * [backup-simplify]: Simplify (+ 0 0) into 0 2.184 * [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)))) 2.185 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 3))))) into (- (* 2 (/ 1 (pow n 3)))) 2.185 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 2)) (pow (- (* 2 (/ 1 n))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 2) into (/ 1/2 (pow n 2)) 2.185 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 2.185 * [taylor]: Taking taylor expansion of 1/2 in n 2.185 * [backup-simplify]: Simplify 1/2 into 1/2 2.185 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.185 * [taylor]: Taking taylor expansion of n in n 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify 1 into 1 2.186 * [backup-simplify]: Simplify (* 1 1) into 1 2.186 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify (- 0) into 0 2.189 * [backup-simplify]: Simplify (- 2) into -2 2.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.190 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.190 * [backup-simplify]: Simplify (- 0) into 0 2.190 * [backup-simplify]: Simplify (- 2) into -2 2.191 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 2.193 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 2.193 * [backup-simplify]: Simplify (+ 0 0) into 0 2.193 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.194 * [backup-simplify]: Simplify (+ 0 0) into 0 2.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.195 * [backup-simplify]: Simplify (- 0) into 0 2.195 * [backup-simplify]: Simplify (+ 0 0) into 0 2.197 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 3)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 4)))) 2.197 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 4))))) into (- (* 2 (/ 1 (pow n 4)))) 2.198 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 3)) (pow (- (* 2 (/ 1 n))) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow (- (* 2 (/ 1 n))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 4))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 6) into (/ 1/3 (pow n 3)) 2.198 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 2.198 * [taylor]: Taking taylor expansion of 1/3 in n 2.198 * [backup-simplify]: Simplify 1/3 into 1/3 2.198 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.198 * [taylor]: Taking taylor expansion of n in n 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify (* 1 1) into 1 2.198 * [backup-simplify]: Simplify (* 1 1) into 1 2.199 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 2.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify (- (+ (log -2) (log (/ 1 (- f)))) (log (/ 1 (- n)))) into (- (+ (log -2) (log (/ -1 f))) (log (/ -1 n))) 2.203 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 2.203 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 2.203 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.203 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.203 * [taylor]: Taking taylor expansion of -1 in n 2.203 * [backup-simplify]: Simplify -1 into -1 2.203 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.203 * [taylor]: Taking taylor expansion of (+ n f) in n 2.203 * [taylor]: Taking taylor expansion of n in n 2.203 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify 1 into 1 2.204 * [taylor]: Taking taylor expansion of f in n 2.204 * [backup-simplify]: Simplify f into f 2.204 * [taylor]: Taking taylor expansion of (- f n) in n 2.204 * [taylor]: Taking taylor expansion of f in n 2.204 * [backup-simplify]: Simplify f into f 2.204 * [taylor]: Taking taylor expansion of n in n 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify 1 into 1 2.204 * [backup-simplify]: Simplify (+ 0 f) into f 2.204 * [backup-simplify]: Simplify (- 0) into 0 2.204 * [backup-simplify]: Simplify (+ f 0) into f 2.204 * [backup-simplify]: Simplify (/ f f) into 1 2.204 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.204 * [taylor]: Taking taylor expansion of -1 in f 2.204 * [backup-simplify]: Simplify -1 into -1 2.204 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.204 * [taylor]: Taking taylor expansion of (+ n f) in f 2.204 * [taylor]: Taking taylor expansion of n in f 2.204 * [backup-simplify]: Simplify n into n 2.204 * [taylor]: Taking taylor expansion of f in f 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify 1 into 1 2.204 * [taylor]: Taking taylor expansion of (- f n) in f 2.204 * [taylor]: Taking taylor expansion of f in f 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify 1 into 1 2.204 * [taylor]: Taking taylor expansion of n in f 2.204 * [backup-simplify]: Simplify n into n 2.204 * [backup-simplify]: Simplify (+ n 0) into n 2.204 * [backup-simplify]: Simplify (- n) into (- n) 2.204 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.204 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.204 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.204 * [taylor]: Taking taylor expansion of -1 in f 2.204 * [backup-simplify]: Simplify -1 into -1 2.204 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.204 * [taylor]: Taking taylor expansion of (+ n f) in f 2.204 * [taylor]: Taking taylor expansion of n in f 2.204 * [backup-simplify]: Simplify n into n 2.204 * [taylor]: Taking taylor expansion of f in f 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify 1 into 1 2.204 * [taylor]: Taking taylor expansion of (- f n) in f 2.204 * [taylor]: Taking taylor expansion of f in f 2.204 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [taylor]: Taking taylor expansion of n in f 2.205 * [backup-simplify]: Simplify n into n 2.205 * [backup-simplify]: Simplify (+ n 0) into n 2.205 * [backup-simplify]: Simplify (- n) into (- n) 2.205 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.205 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.205 * [backup-simplify]: Simplify (* -1 -1) into 1 2.205 * [taylor]: Taking taylor expansion of 1 in n 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [backup-simplify]: Simplify (+ 0 1) into 1 2.205 * [backup-simplify]: Simplify (- 0) into 0 2.206 * [backup-simplify]: Simplify (+ 1 0) into 1 2.206 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.206 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.206 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.206 * [taylor]: Taking taylor expansion of 2 in n 2.206 * [backup-simplify]: Simplify 2 into 2 2.206 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.206 * [taylor]: Taking taylor expansion of n in n 2.206 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify 1 into 1 2.207 * [backup-simplify]: Simplify (/ 1 1) into 1 2.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.207 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify (+ 0 0) into 0 2.208 * [backup-simplify]: Simplify (- 0) into 0 2.208 * [backup-simplify]: Simplify (+ 0 0) into 0 2.208 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.209 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.209 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.209 * [taylor]: Taking taylor expansion of 2 in n 2.209 * [backup-simplify]: Simplify 2 into 2 2.209 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.209 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.209 * [taylor]: Taking taylor expansion of n in n 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [backup-simplify]: Simplify (* 1 1) into 1 2.209 * [backup-simplify]: Simplify (/ 1 1) into 1 2.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.213 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify (+ 0 0) into 0 2.213 * [backup-simplify]: Simplify (- 0) into 0 2.213 * [backup-simplify]: Simplify (+ 0 0) into 0 2.214 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 2.214 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 2.214 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.214 * [taylor]: Taking taylor expansion of 2 in n 2.214 * [backup-simplify]: Simplify 2 into 2 2.215 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.215 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.215 * [taylor]: Taking taylor expansion of n in n 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.215 * [backup-simplify]: Simplify (* 1 1) into 1 2.215 * [backup-simplify]: Simplify (* 1 1) into 1 2.215 * [backup-simplify]: Simplify (/ 1 1) into 1 2.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.220 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.220 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 2.220 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.220 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.220 * [taylor]: Taking taylor expansion of -1 in n 2.220 * [backup-simplify]: Simplify -1 into -1 2.220 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.220 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.220 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.220 * [taylor]: Taking taylor expansion of f in n 2.220 * [backup-simplify]: Simplify f into f 2.220 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.220 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.220 * [taylor]: Taking taylor expansion of n in n 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (/ 1 1) into 1 2.221 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.221 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.221 * [taylor]: Taking taylor expansion of f in n 2.221 * [backup-simplify]: Simplify f into f 2.221 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.221 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.221 * [taylor]: Taking taylor expansion of n in n 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (/ 1 1) into 1 2.221 * [backup-simplify]: Simplify (+ 0 1) into 1 2.221 * [backup-simplify]: Simplify (- 1) into -1 2.222 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.222 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.222 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.222 * [taylor]: Taking taylor expansion of -1 in f 2.222 * [backup-simplify]: Simplify -1 into -1 2.222 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.222 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.222 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.222 * [taylor]: Taking taylor expansion of f in f 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.222 * [backup-simplify]: Simplify (/ 1 1) into 1 2.222 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.222 * [taylor]: Taking taylor expansion of n in f 2.222 * [backup-simplify]: Simplify n into n 2.222 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.222 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.222 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.222 * [taylor]: Taking taylor expansion of f in f 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.223 * [backup-simplify]: Simplify (/ 1 1) into 1 2.223 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.223 * [taylor]: Taking taylor expansion of n in f 2.223 * [backup-simplify]: Simplify n into n 2.223 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.223 * [backup-simplify]: Simplify (+ 1 0) into 1 2.223 * [backup-simplify]: Simplify (+ 1 0) into 1 2.223 * [backup-simplify]: Simplify (/ 1 1) into 1 2.224 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.224 * [taylor]: Taking taylor expansion of -1 in f 2.224 * [backup-simplify]: Simplify -1 into -1 2.224 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.224 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.224 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.224 * [taylor]: Taking taylor expansion of f in f 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 1 into 1 2.224 * [backup-simplify]: Simplify (/ 1 1) into 1 2.224 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.224 * [taylor]: Taking taylor expansion of n in f 2.224 * [backup-simplify]: Simplify n into n 2.224 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.224 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.224 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.224 * [taylor]: Taking taylor expansion of f in f 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 1 into 1 2.224 * [backup-simplify]: Simplify (/ 1 1) into 1 2.224 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.224 * [taylor]: Taking taylor expansion of n in f 2.224 * [backup-simplify]: Simplify n into n 2.224 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.225 * [backup-simplify]: Simplify (+ 1 0) into 1 2.225 * [backup-simplify]: Simplify (+ 1 0) into 1 2.225 * [backup-simplify]: Simplify (/ 1 1) into 1 2.225 * [backup-simplify]: Simplify (* -1 1) into -1 2.225 * [taylor]: Taking taylor expansion of -1 in n 2.225 * [backup-simplify]: Simplify -1 into -1 2.225 * [backup-simplify]: Simplify -1 into -1 2.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.226 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.226 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.226 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.227 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.231 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.231 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.231 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.231 * [taylor]: Taking taylor expansion of 2 in n 2.231 * [backup-simplify]: Simplify 2 into 2 2.231 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.231 * [taylor]: Taking taylor expansion of n in n 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (/ 1 1) into 1 2.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.233 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.233 * [backup-simplify]: Simplify (- 0) into 0 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.234 * [backup-simplify]: Simplify (+ 0 0) into 0 2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.235 * [backup-simplify]: Simplify (- 0) into 0 2.235 * [backup-simplify]: Simplify (+ 0 0) into 0 2.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.236 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.236 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.236 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.236 * [taylor]: Taking taylor expansion of 2 in n 2.236 * [backup-simplify]: Simplify 2 into 2 2.236 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.236 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.236 * [taylor]: Taking taylor expansion of n in n 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 1 into 1 2.236 * [backup-simplify]: Simplify (* 1 1) into 1 2.237 * [backup-simplify]: Simplify (/ 1 1) into 1 2.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.239 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.239 * [backup-simplify]: Simplify (- 0) into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.240 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.240 * [backup-simplify]: Simplify (- 0) into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.241 * [backup-simplify]: Simplify (+ 0 0) into 0 2.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.242 * [backup-simplify]: Simplify (- 0) into 0 2.242 * [backup-simplify]: Simplify (+ 0 0) into 0 2.244 * [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))) 2.244 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.244 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.244 * [taylor]: Taking taylor expansion of 2 in n 2.244 * [backup-simplify]: Simplify 2 into 2 2.244 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.244 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.244 * [taylor]: Taking taylor expansion of n in n 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 1 into 1 2.245 * [backup-simplify]: Simplify (* 1 1) into 1 2.245 * [backup-simplify]: Simplify (* 1 1) into 1 2.245 * [backup-simplify]: Simplify (/ 1 1) into 1 2.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.250 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.250 * [backup-simplify]: Simplify (- 0) into 0 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify -1 into -1 2.250 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.250 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.250 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.250 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.250 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.250 * [taylor]: Taking taylor expansion of f in n 2.250 * [backup-simplify]: Simplify f into f 2.250 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.250 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.250 * [taylor]: Taking taylor expansion of n in n 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.251 * [backup-simplify]: Simplify (/ 1 1) into 1 2.251 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.251 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.251 * [taylor]: Taking taylor expansion of n in n 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.251 * [backup-simplify]: Simplify (/ 1 1) into 1 2.251 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.251 * [taylor]: Taking taylor expansion of f in n 2.251 * [backup-simplify]: Simplify f into f 2.251 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.251 * [backup-simplify]: Simplify (+ 0 1) into 1 2.252 * [backup-simplify]: Simplify (+ 1 0) into 1 2.252 * [backup-simplify]: Simplify (/ 1 1) into 1 2.252 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.252 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.252 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.252 * [taylor]: Taking taylor expansion of f in f 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify 1 into 1 2.252 * [backup-simplify]: Simplify (/ 1 1) into 1 2.252 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.252 * [taylor]: Taking taylor expansion of n in f 2.252 * [backup-simplify]: Simplify n into n 2.252 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.252 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.252 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.252 * [taylor]: Taking taylor expansion of n in f 2.252 * [backup-simplify]: Simplify n into n 2.252 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.252 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.252 * [taylor]: Taking taylor expansion of f in f 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify 1 into 1 2.253 * [backup-simplify]: Simplify (/ 1 1) into 1 2.253 * [backup-simplify]: Simplify (+ 1 0) into 1 2.253 * [backup-simplify]: Simplify (- 1) into -1 2.253 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.254 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.254 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.254 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.254 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.254 * [taylor]: Taking taylor expansion of f in f 2.254 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify 1 into 1 2.254 * [backup-simplify]: Simplify (/ 1 1) into 1 2.254 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.254 * [taylor]: Taking taylor expansion of n in f 2.254 * [backup-simplify]: Simplify n into n 2.254 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.254 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.254 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.254 * [taylor]: Taking taylor expansion of n in f 2.254 * [backup-simplify]: Simplify n into n 2.254 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.254 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.254 * [taylor]: Taking taylor expansion of f in f 2.254 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify 1 into 1 2.254 * [backup-simplify]: Simplify (/ 1 1) into 1 2.255 * [backup-simplify]: Simplify (+ 1 0) into 1 2.255 * [backup-simplify]: Simplify (- 1) into -1 2.255 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.255 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.255 * [taylor]: Taking taylor expansion of -1 in n 2.256 * [backup-simplify]: Simplify -1 into -1 2.256 * [backup-simplify]: Simplify -1 into -1 2.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.256 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (- 0) into 0 2.257 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.257 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.257 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.257 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.257 * [taylor]: Taking taylor expansion of 2 in n 2.257 * [backup-simplify]: Simplify 2 into 2 2.257 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.257 * [taylor]: Taking taylor expansion of n in n 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify 1 into 1 2.257 * [backup-simplify]: Simplify (/ 1 1) into 1 2.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.258 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.258 * [backup-simplify]: Simplify (- 0) into 0 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.259 * [backup-simplify]: Simplify (+ 0 0) into 0 2.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.260 * [backup-simplify]: Simplify (- 0) into 0 2.260 * [backup-simplify]: Simplify (+ 0 0) into 0 2.261 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.261 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.261 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.261 * [taylor]: Taking taylor expansion of 2 in n 2.261 * [backup-simplify]: Simplify 2 into 2 2.261 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.261 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.261 * [taylor]: Taking taylor expansion of n in n 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 1 into 1 2.261 * [backup-simplify]: Simplify (* 1 1) into 1 2.261 * [backup-simplify]: Simplify (/ 1 1) into 1 2.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.264 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.264 * [backup-simplify]: Simplify (- 0) into 0 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.265 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.265 * [backup-simplify]: Simplify (- 0) into 0 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.266 * [backup-simplify]: Simplify (+ 0 0) into 0 2.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.267 * [backup-simplify]: Simplify (- 0) into 0 2.267 * [backup-simplify]: Simplify (+ 0 0) into 0 2.268 * [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)))) 2.268 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.268 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.268 * [taylor]: Taking taylor expansion of 2 in n 2.268 * [backup-simplify]: Simplify 2 into 2 2.268 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.268 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.268 * [taylor]: Taking taylor expansion of n in n 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.269 * [backup-simplify]: Simplify (* 1 1) into 1 2.269 * [backup-simplify]: Simplify (* 1 1) into 1 2.269 * [backup-simplify]: Simplify (/ 1 1) into 1 2.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.274 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.274 * [backup-simplify]: Simplify (- 0) into 0 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify -1 into -1 2.274 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.274 * [backup-simplify]: Simplify (expm1 (log1p (/ (- (+ f n)) (- f n)))) into (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) 2.274 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 2.274 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in n 2.274 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 2.274 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in n 2.274 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in n 2.275 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.275 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in n 2.275 * [taylor]: Taking taylor expansion of 1 in n 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.275 * [taylor]: Taking taylor expansion of -1 in n 2.275 * [backup-simplify]: Simplify -1 into -1 2.275 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.275 * [taylor]: Taking taylor expansion of (+ n f) in n 2.275 * [taylor]: Taking taylor expansion of n in n 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [taylor]: Taking taylor expansion of f in n 2.275 * [backup-simplify]: Simplify f into f 2.275 * [taylor]: Taking taylor expansion of (- f n) in n 2.275 * [taylor]: Taking taylor expansion of f in n 2.275 * [backup-simplify]: Simplify f into f 2.275 * [taylor]: Taking taylor expansion of n in n 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [backup-simplify]: Simplify (+ 0 f) into f 2.275 * [backup-simplify]: Simplify (- 0) into 0 2.275 * [backup-simplify]: Simplify (+ f 0) into f 2.275 * [backup-simplify]: Simplify (/ f f) into 1 2.275 * [backup-simplify]: Simplify (* -1 1) into -1 2.276 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.276 * [backup-simplify]: Simplify (+ 1 0) into 1 2.276 * [backup-simplify]: Simplify (- 1) into -1 2.276 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.276 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 2.277 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 2.277 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 f)))) into (- (* 2 (/ 1 f))) 2.277 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 f)))) into (log (- (* 2 (/ 1 f)))) 2.277 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (- (* 2 (/ 1 f))))) into (+ (log (- (* 2 (/ 1 f)))) (log n)) 2.278 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (- (* 2 (/ 1 f))))) into (+ (log (- (* 2 (/ 1 f)))) (log n)) 2.278 * [backup-simplify]: Simplify (exp (+ (log (- (* 2 (/ 1 f)))) (log n))) into (exp (+ (log (- (* 2 (/ 1 f)))) (log n))) 2.278 * [taylor]: Taking taylor expansion of 1 in n 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in f 2.278 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 2.278 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in f 2.278 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 2.278 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.278 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 2.278 * [taylor]: Taking taylor expansion of 1 in f 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.278 * [taylor]: Taking taylor expansion of -1 in f 2.278 * [backup-simplify]: Simplify -1 into -1 2.278 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.278 * [taylor]: Taking taylor expansion of (+ n f) in f 2.278 * [taylor]: Taking taylor expansion of n in f 2.278 * [backup-simplify]: Simplify n into n 2.278 * [taylor]: Taking taylor expansion of f in f 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [taylor]: Taking taylor expansion of (- f n) in f 2.278 * [taylor]: Taking taylor expansion of f in f 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [taylor]: Taking taylor expansion of n in f 2.278 * [backup-simplify]: Simplify n into n 2.278 * [backup-simplify]: Simplify (+ n 0) into n 2.278 * [backup-simplify]: Simplify (- n) into (- n) 2.278 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.278 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.279 * [backup-simplify]: Simplify (* -1 -1) into 1 2.279 * [backup-simplify]: Simplify (+ 1 1) into 2 2.279 * [backup-simplify]: Simplify (log 2) into (log 2) 2.280 * [backup-simplify]: Simplify (exp (log 2)) into 2 2.280 * [taylor]: Taking taylor expansion of 1 in f 2.280 * [backup-simplify]: Simplify 1 into 1 2.280 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in f 2.280 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 2.280 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in f 2.280 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 2.280 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.280 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 2.280 * [taylor]: Taking taylor expansion of 1 in f 2.280 * [backup-simplify]: Simplify 1 into 1 2.280 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.280 * [taylor]: Taking taylor expansion of -1 in f 2.280 * [backup-simplify]: Simplify -1 into -1 2.280 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.280 * [taylor]: Taking taylor expansion of (+ n f) in f 2.280 * [taylor]: Taking taylor expansion of n in f 2.280 * [backup-simplify]: Simplify n into n 2.280 * [taylor]: Taking taylor expansion of f in f 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 1 into 1 2.280 * [taylor]: Taking taylor expansion of (- f n) in f 2.280 * [taylor]: Taking taylor expansion of f in f 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 1 into 1 2.280 * [taylor]: Taking taylor expansion of n in f 2.280 * [backup-simplify]: Simplify n into n 2.280 * [backup-simplify]: Simplify (+ n 0) into n 2.280 * [backup-simplify]: Simplify (- n) into (- n) 2.280 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.280 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.281 * [backup-simplify]: Simplify (* -1 -1) into 1 2.281 * [backup-simplify]: Simplify (+ 1 1) into 2 2.281 * [backup-simplify]: Simplify (log 2) into (log 2) 2.282 * [backup-simplify]: Simplify (exp (log 2)) into 2 2.282 * [taylor]: Taking taylor expansion of 1 in f 2.282 * [backup-simplify]: Simplify 1 into 1 2.282 * [backup-simplify]: Simplify (- 1) into -1 2.282 * [backup-simplify]: Simplify (+ 2 -1) into 1 2.282 * [taylor]: Taking taylor expansion of 1 in n 2.282 * [backup-simplify]: Simplify 1 into 1 2.282 * [backup-simplify]: Simplify 1 into 1 2.282 * [backup-simplify]: Simplify (+ 0 1) into 1 2.283 * [backup-simplify]: Simplify (- 0) into 0 2.283 * [backup-simplify]: Simplify (+ 1 0) into 1 2.283 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.283 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.283 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 n))) into (* 2 (/ 1 n)) 2.284 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 2 1)))) 1) into (/ 1 n) 2.284 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 2 n) 2.285 * [backup-simplify]: Simplify (- 0) into 0 2.285 * [backup-simplify]: Simplify (+ (/ 2 n) 0) into (* 2 (/ 1 n)) 2.285 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.285 * [taylor]: Taking taylor expansion of 2 in n 2.285 * [backup-simplify]: Simplify 2 into 2 2.285 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.285 * [taylor]: Taking taylor expansion of n in n 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify 1 into 1 2.285 * [backup-simplify]: Simplify (/ 1 1) into 1 2.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.286 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify (+ 0 0) into 0 2.286 * [backup-simplify]: Simplify (- 0) into 0 2.287 * [backup-simplify]: Simplify (+ 0 0) into 0 2.287 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.287 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.287 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 (pow n 2)))) into (* 2 (/ 1 (pow n 2))) 2.288 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 2 1)))) 2) into (/ 1/2 (pow n 2)) 2.289 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (/ 1/2 (pow n 2)) 1) 1)))) into (/ 2 (pow n 2)) 2.289 * [backup-simplify]: Simplify (- 0) into 0 2.290 * [backup-simplify]: Simplify (+ (/ 2 (pow n 2)) 0) into (* 2 (/ 1 (pow n 2))) 2.290 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.290 * [taylor]: Taking taylor expansion of 2 in n 2.290 * [backup-simplify]: Simplify 2 into 2 2.290 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.290 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.290 * [taylor]: Taking taylor expansion of n in n 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 1 into 1 2.290 * [backup-simplify]: Simplify (* 1 1) into 1 2.290 * [backup-simplify]: Simplify (/ 1 1) into 1 2.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.293 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.294 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify (+ 0 0) into 0 2.294 * [backup-simplify]: Simplify (- 0) into 0 2.295 * [backup-simplify]: Simplify (+ 0 0) into 0 2.295 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 2.295 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 2.296 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 (pow n 3)))) into (* 2 (/ 1 (pow n 3))) 2.297 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 n))) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1) (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow n 3)))) 1)) (pow 2 1)))) 6) into (/ 1/3 (pow n 3)) 2.298 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (/ 1/2 (pow n 2)) 1) 1)) (* (/ (pow (/ 1/3 (pow n 3)) 1) 1)))) into (/ 2 (pow n 3)) 2.298 * [backup-simplify]: Simplify (- 0) into 0 2.298 * [backup-simplify]: Simplify (+ (/ 2 (pow n 3)) 0) into (* 2 (/ 1 (pow n 3))) 2.298 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.298 * [taylor]: Taking taylor expansion of 2 in n 2.298 * [backup-simplify]: Simplify 2 into 2 2.298 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.298 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.298 * [taylor]: Taking taylor expansion of n in n 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 1 into 1 2.299 * [backup-simplify]: Simplify (* 1 1) into 1 2.299 * [backup-simplify]: Simplify (* 1 1) into 1 2.299 * [backup-simplify]: Simplify (/ 1 1) into 1 2.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.304 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.304 * [backup-simplify]: Simplify 0 into 0 2.304 * [backup-simplify]: Simplify 1 into 1 2.304 * [backup-simplify]: Simplify (expm1 (log1p (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.304 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 2.304 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 2.304 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 2.304 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 2.304 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.305 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.305 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.305 * [taylor]: Taking taylor expansion of 1 in n 2.305 * [backup-simplify]: Simplify 1 into 1 2.305 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.305 * [taylor]: Taking taylor expansion of -1 in n 2.305 * [backup-simplify]: Simplify -1 into -1 2.305 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.305 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.305 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.305 * [taylor]: Taking taylor expansion of f in n 2.305 * [backup-simplify]: Simplify f into f 2.305 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.305 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.305 * [taylor]: Taking taylor expansion of n in n 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 1 into 1 2.305 * [backup-simplify]: Simplify (/ 1 1) into 1 2.305 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.305 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.305 * [taylor]: Taking taylor expansion of f in n 2.305 * [backup-simplify]: Simplify f into f 2.305 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.305 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.305 * [taylor]: Taking taylor expansion of n in n 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 1 into 1 2.305 * [backup-simplify]: Simplify (/ 1 1) into 1 2.306 * [backup-simplify]: Simplify (+ 0 1) into 1 2.306 * [backup-simplify]: Simplify (- 1) into -1 2.306 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.306 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.307 * [backup-simplify]: Simplify (* -1 -1) into 1 2.307 * [backup-simplify]: Simplify (+ 1 1) into 2 2.307 * [backup-simplify]: Simplify (log 2) into (log 2) 2.308 * [backup-simplify]: Simplify (exp (log 2)) into 2 2.308 * [taylor]: Taking taylor expansion of 1 in n 2.308 * [backup-simplify]: Simplify 1 into 1 2.308 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.308 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 2.308 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.308 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.308 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.308 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.308 * [taylor]: Taking taylor expansion of 1 in f 2.308 * [backup-simplify]: Simplify 1 into 1 2.308 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.308 * [taylor]: Taking taylor expansion of -1 in f 2.308 * [backup-simplify]: Simplify -1 into -1 2.308 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.308 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.308 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.308 * [taylor]: Taking taylor expansion of f in f 2.308 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify 1 into 1 2.308 * [backup-simplify]: Simplify (/ 1 1) into 1 2.308 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.308 * [taylor]: Taking taylor expansion of n in f 2.308 * [backup-simplify]: Simplify n into n 2.308 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.308 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.308 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.308 * [taylor]: Taking taylor expansion of f in f 2.308 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify 1 into 1 2.309 * [backup-simplify]: Simplify (/ 1 1) into 1 2.309 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.309 * [taylor]: Taking taylor expansion of n in f 2.309 * [backup-simplify]: Simplify n into n 2.309 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.309 * [backup-simplify]: Simplify (+ 1 0) into 1 2.309 * [backup-simplify]: Simplify (+ 1 0) into 1 2.309 * [backup-simplify]: Simplify (/ 1 1) into 1 2.310 * [backup-simplify]: Simplify (* -1 1) into -1 2.310 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.310 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.311 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.311 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.311 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.311 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.311 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 2.311 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 n)))) into (log (- (* 2 (/ 1 n)))) 2.312 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 2.312 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 2.312 * [backup-simplify]: Simplify (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) into (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 2.312 * [taylor]: Taking taylor expansion of 1 in f 2.312 * [backup-simplify]: Simplify 1 into 1 2.312 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.312 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 2.312 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.312 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.312 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.312 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.312 * [taylor]: Taking taylor expansion of 1 in f 2.313 * [backup-simplify]: Simplify 1 into 1 2.313 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.313 * [taylor]: Taking taylor expansion of -1 in f 2.313 * [backup-simplify]: Simplify -1 into -1 2.313 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.313 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.313 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.313 * [taylor]: Taking taylor expansion of f in f 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify 1 into 1 2.313 * [backup-simplify]: Simplify (/ 1 1) into 1 2.313 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.313 * [taylor]: Taking taylor expansion of n in f 2.313 * [backup-simplify]: Simplify n into n 2.313 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.313 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.313 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.313 * [taylor]: Taking taylor expansion of f in f 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify 1 into 1 2.313 * [backup-simplify]: Simplify (/ 1 1) into 1 2.313 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.313 * [taylor]: Taking taylor expansion of n in f 2.313 * [backup-simplify]: Simplify n into n 2.313 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.314 * [backup-simplify]: Simplify (+ 1 0) into 1 2.314 * [backup-simplify]: Simplify (+ 1 0) into 1 2.314 * [backup-simplify]: Simplify (/ 1 1) into 1 2.314 * [backup-simplify]: Simplify (* -1 1) into -1 2.315 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.315 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.315 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.316 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.316 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.316 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.316 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 2.316 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 n)))) into (log (- (* 2 (/ 1 n)))) 2.316 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 2.317 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 2.317 * [backup-simplify]: Simplify (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) into (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 2.317 * [taylor]: Taking taylor expansion of 1 in f 2.317 * [backup-simplify]: Simplify 1 into 1 2.317 * [backup-simplify]: Simplify (- 1) into -1 2.317 * [backup-simplify]: Simplify (+ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) -1) into (- (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 1) 2.317 * [taylor]: Taking taylor expansion of (- (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 1) in n 2.317 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.317 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.317 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.317 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.317 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.317 * [taylor]: Taking taylor expansion of 2 in n 2.317 * [backup-simplify]: Simplify 2 into 2 2.317 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.317 * [taylor]: Taking taylor expansion of n in n 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 1 into 1 2.318 * [backup-simplify]: Simplify (/ 1 1) into 1 2.318 * [backup-simplify]: Simplify (* 2 1) into 2 2.318 * [backup-simplify]: Simplify (- 2) into -2 2.318 * [backup-simplify]: Simplify (- 2) into -2 2.319 * [backup-simplify]: Simplify (log -2) into (log -2) 2.319 * [taylor]: Taking taylor expansion of (log f) in n 2.319 * [taylor]: Taking taylor expansion of f in n 2.319 * [backup-simplify]: Simplify f into f 2.319 * [backup-simplify]: Simplify (log f) into (log f) 2.319 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 2.319 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 2.320 * [backup-simplify]: Simplify (exp (- (+ (log -2) (log f)) (log n))) into (exp (- (+ (log -2) (log f)) (log n))) 2.320 * [taylor]: Taking taylor expansion of 1 in n 2.320 * [backup-simplify]: Simplify 1 into 1 2.320 * [backup-simplify]: Simplify (- 1) into -1 2.320 * [backup-simplify]: Simplify (+ (exp (- (+ (log -2) (log f)) (log n))) -1) into (- (exp (- (+ (log -2) (log f)) (log n))) 1) 2.321 * [backup-simplify]: Simplify (- (exp (- (+ (log -2) (log f)) (log n))) 1) into (- (exp (- (+ (log -2) (log f)) (log n))) 1) 2.321 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 2.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.322 * [backup-simplify]: Simplify (+ 0 0) into 0 2.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.323 * [backup-simplify]: Simplify (- 0) into 0 2.323 * [backup-simplify]: Simplify (+ 0 0) into 0 2.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.324 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.324 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 2))))) into (- (* 2 (/ 1 (pow n 2)))) 2.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 1) into (/ 1 n) 2.329 * [backup-simplify]: Simplify (* (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) 2.330 * [backup-simplify]: Simplify (- 0) into 0 2.330 * [backup-simplify]: Simplify (+ (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) 0) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) 2.330 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) in n 2.330 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.330 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.330 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.330 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.330 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.330 * [taylor]: Taking taylor expansion of 2 in n 2.330 * [backup-simplify]: Simplify 2 into 2 2.330 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.330 * [taylor]: Taking taylor expansion of n in n 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify 1 into 1 2.330 * [backup-simplify]: Simplify (/ 1 1) into 1 2.330 * [backup-simplify]: Simplify (* 2 1) into 2 2.331 * [backup-simplify]: Simplify (- 2) into -2 2.331 * [backup-simplify]: Simplify (- 2) into -2 2.331 * [backup-simplify]: Simplify (log -2) into (log -2) 2.331 * [taylor]: Taking taylor expansion of (log f) in n 2.331 * [taylor]: Taking taylor expansion of f in n 2.331 * [backup-simplify]: Simplify f into f 2.331 * [backup-simplify]: Simplify (log f) into (log f) 2.332 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 2.332 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 2.332 * [backup-simplify]: Simplify (exp (- (+ (log -2) (log f)) (log n))) into (exp (- (+ (log -2) (log f)) (log n))) 2.332 * [taylor]: Taking taylor expansion of n in n 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.333 * [backup-simplify]: Simplify (/ (exp (- (+ (log -2) (log f)) (log n))) 1) into (exp (- (+ (log -2) (log f)) (log n))) 2.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.334 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.334 * [backup-simplify]: Simplify (- 0) into 0 2.334 * [backup-simplify]: Simplify (- 2) into -2 2.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 2.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 2.336 * [backup-simplify]: Simplify (+ 0 0) into 0 2.336 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)))) into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.338 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.338 * [backup-simplify]: Simplify (- 0) into 0 2.338 * [backup-simplify]: Simplify (- 2) into -2 2.339 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 2.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 2.340 * [backup-simplify]: Simplify (+ 0 0) into 0 2.341 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.341 * [backup-simplify]: Simplify (- 0) into 0 2.341 * [backup-simplify]: Simplify (+ 0 0) into 0 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 2.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.342 * [backup-simplify]: Simplify (+ 0 0) into 0 2.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.343 * [backup-simplify]: Simplify (- 0) into 0 2.343 * [backup-simplify]: Simplify (+ 0 0) into 0 2.345 * [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))) 2.345 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.345 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 3))))) into (- (* 2 (/ 1 (pow n 3)))) 2.346 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 2)) (pow (- (* 2 (/ 1 n))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 2) into (/ 1/2 (pow n 2)) 2.346 * [backup-simplify]: Simplify (* (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (/ 1/2 (pow n 2)) 1) 1)))) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) 2.347 * [backup-simplify]: Simplify (- 0) into 0 2.347 * [backup-simplify]: Simplify (+ (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) 0) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) 2.347 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) in n 2.347 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.347 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.347 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.347 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.347 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.347 * [taylor]: Taking taylor expansion of 2 in n 2.347 * [backup-simplify]: Simplify 2 into 2 2.347 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.347 * [taylor]: Taking taylor expansion of n in n 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.347 * [backup-simplify]: Simplify (/ 1 1) into 1 2.347 * [backup-simplify]: Simplify (* 2 1) into 2 2.348 * [backup-simplify]: Simplify (- 2) into -2 2.348 * [backup-simplify]: Simplify (- 2) into -2 2.348 * [backup-simplify]: Simplify (log -2) into (log -2) 2.348 * [taylor]: Taking taylor expansion of (log f) in n 2.348 * [taylor]: Taking taylor expansion of f in n 2.348 * [backup-simplify]: Simplify f into f 2.348 * [backup-simplify]: Simplify (log f) into (log f) 2.349 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 2.349 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 2.349 * [backup-simplify]: Simplify (exp (- (+ (log -2) (log f)) (log n))) into (exp (- (+ (log -2) (log f)) (log n))) 2.349 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.349 * [taylor]: Taking taylor expansion of n in n 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify 1 into 1 2.350 * [backup-simplify]: Simplify (* 1 1) into 1 2.350 * [backup-simplify]: Simplify (/ (exp (- (+ (log -2) (log f)) (log n))) 1) into (exp (- (+ (log -2) (log f)) (log n))) 2.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.351 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.351 * [backup-simplify]: Simplify (- 0) into 0 2.351 * [backup-simplify]: Simplify (- 2) into -2 2.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 2.353 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 2.353 * [backup-simplify]: Simplify (+ 0 0) into 0 2.353 * [backup-simplify]: Simplify (- 0) into 0 2.353 * [backup-simplify]: Simplify (- 2) into -2 2.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.354 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.354 * [backup-simplify]: Simplify (- 0) into 0 2.355 * [backup-simplify]: Simplify (- 2) into -2 2.356 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 2.357 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 2.357 * [backup-simplify]: Simplify (+ 0 0) into 0 2.358 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.360 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)))) into 0 2.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify (- 0) into 0 2.362 * [backup-simplify]: Simplify (- 2) into -2 2.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.363 * [backup-simplify]: Simplify (- 0) into 0 2.364 * [backup-simplify]: Simplify (- 2) into -2 2.365 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 2.366 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 2.366 * [backup-simplify]: Simplify (+ 0 0) into 0 2.367 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify (- 0) into 0 2.369 * [backup-simplify]: Simplify (- 2) into -2 2.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.370 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.370 * [backup-simplify]: Simplify (- 0) into 0 2.370 * [backup-simplify]: Simplify (- 2) into -2 2.372 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 2.373 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 2.373 * [backup-simplify]: Simplify (+ 0 0) into 0 2.374 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.374 * [backup-simplify]: Simplify (- 0) into 0 2.375 * [backup-simplify]: Simplify (+ 0 0) into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 2.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.376 * [backup-simplify]: Simplify (+ 0 0) into 0 2.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.377 * [backup-simplify]: Simplify (- 0) into 0 2.377 * [backup-simplify]: Simplify (+ 0 0) into 0 2.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ 0 1)) (* (* 2 (/ 1 (pow n 3))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 4))) 2.379 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 4)))) (+ (* 0 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))))) into (- (* 2 (/ 1 (pow n 4)))) 2.379 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 4))))) into (- (* 2 (/ 1 (pow n 4)))) 2.380 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 3)) (pow (- (* 2 (/ 1 n))) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow (- (* 2 (/ 1 n))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 4))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 6) into (/ 1/3 (pow n 3)) 2.380 * [backup-simplify]: Simplify (* (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (/ 1/2 (pow n 2)) 1) 1)) (* (/ (pow (/ 1/3 (pow n 3)) 1) 1)))) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) 2.381 * [backup-simplify]: Simplify (- 0) into 0 2.381 * [backup-simplify]: Simplify (+ (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) 0) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) 2.381 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) in n 2.381 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.381 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.381 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.381 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.381 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.381 * [taylor]: Taking taylor expansion of 2 in n 2.381 * [backup-simplify]: Simplify 2 into 2 2.381 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.381 * [taylor]: Taking taylor expansion of n in n 2.381 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify 1 into 1 2.381 * [backup-simplify]: Simplify (/ 1 1) into 1 2.382 * [backup-simplify]: Simplify (* 2 1) into 2 2.382 * [backup-simplify]: Simplify (- 2) into -2 2.382 * [backup-simplify]: Simplify (- 2) into -2 2.382 * [backup-simplify]: Simplify (log -2) into (log -2) 2.382 * [taylor]: Taking taylor expansion of (log f) in n 2.382 * [taylor]: Taking taylor expansion of f in n 2.382 * [backup-simplify]: Simplify f into f 2.382 * [backup-simplify]: Simplify (log f) into (log f) 2.383 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 2.383 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 2.383 * [backup-simplify]: Simplify (exp (- (+ (log -2) (log f)) (log n))) into (exp (- (+ (log -2) (log f)) (log n))) 2.383 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.383 * [taylor]: Taking taylor expansion of n in n 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify 1 into 1 2.384 * [backup-simplify]: Simplify (* 1 1) into 1 2.384 * [backup-simplify]: Simplify (* 1 1) into 1 2.384 * [backup-simplify]: Simplify (/ (exp (- (+ (log -2) (log f)) (log n))) 1) into (exp (- (+ (log -2) (log f)) (log n))) 2.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.385 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.385 * [backup-simplify]: Simplify (- 0) into 0 2.386 * [backup-simplify]: Simplify (- 2) into -2 2.386 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 2.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 2.387 * [backup-simplify]: Simplify (+ 0 0) into 0 2.387 * [backup-simplify]: Simplify (- 0) into 0 2.387 * [backup-simplify]: Simplify (- 2) into -2 2.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.388 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.389 * [backup-simplify]: Simplify (- 0) into 0 2.389 * [backup-simplify]: Simplify (- 2) into -2 2.390 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 2.391 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 2.392 * [backup-simplify]: Simplify (+ 0 0) into 0 2.392 * [backup-simplify]: Simplify (- 0) into 0 2.392 * [backup-simplify]: Simplify (- 2) into -2 2.392 * [backup-simplify]: Simplify (- 0) into 0 2.393 * [backup-simplify]: Simplify (- 0) into 0 2.393 * [backup-simplify]: Simplify (- 2) into -2 2.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.394 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.394 * [backup-simplify]: Simplify (- 0) into 0 2.394 * [backup-simplify]: Simplify (- 2) into -2 2.397 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 2.399 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow f 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow f 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow f 1)))) 6) into 0 2.399 * [backup-simplify]: Simplify (+ 0 0) into 0 2.400 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.403 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)))) into 0 2.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.405 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.408 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify (- (exp (- (+ (log -2) (log (/ 1 f))) (log (/ 1 n)))) 1) into (- (exp (- (+ (log -2) (log (/ 1 f))) (log (/ 1 n)))) 1) 2.408 * [backup-simplify]: Simplify (expm1 (log1p (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.408 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 2.408 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 2.408 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 2.409 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 2.409 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.409 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.409 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.409 * [taylor]: Taking taylor expansion of 1 in n 2.409 * [backup-simplify]: Simplify 1 into 1 2.409 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.409 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.409 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.409 * [taylor]: Taking taylor expansion of f in n 2.409 * [backup-simplify]: Simplify f into f 2.409 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.409 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.409 * [taylor]: Taking taylor expansion of n in n 2.409 * [backup-simplify]: Simplify 0 into 0 2.409 * [backup-simplify]: Simplify 1 into 1 2.409 * [backup-simplify]: Simplify (/ 1 1) into 1 2.409 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.409 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.409 * [taylor]: Taking taylor expansion of n in n 2.409 * [backup-simplify]: Simplify 0 into 0 2.409 * [backup-simplify]: Simplify 1 into 1 2.409 * [backup-simplify]: Simplify (/ 1 1) into 1 2.409 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.409 * [taylor]: Taking taylor expansion of f in n 2.409 * [backup-simplify]: Simplify f into f 2.410 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.410 * [backup-simplify]: Simplify (+ 0 1) into 1 2.410 * [backup-simplify]: Simplify (+ 1 0) into 1 2.410 * [backup-simplify]: Simplify (/ 1 1) into 1 2.410 * [backup-simplify]: Simplify (+ 1 1) into 2 2.411 * [backup-simplify]: Simplify (log 2) into (log 2) 2.411 * [backup-simplify]: Simplify (exp (log 2)) into 2 2.411 * [taylor]: Taking taylor expansion of 1 in n 2.411 * [backup-simplify]: Simplify 1 into 1 2.411 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.411 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 2.411 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.411 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.411 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.412 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.412 * [taylor]: Taking taylor expansion of 1 in f 2.412 * [backup-simplify]: Simplify 1 into 1 2.412 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.412 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.412 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.412 * [taylor]: Taking taylor expansion of f in f 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify 1 into 1 2.412 * [backup-simplify]: Simplify (/ 1 1) into 1 2.412 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.412 * [taylor]: Taking taylor expansion of n in f 2.412 * [backup-simplify]: Simplify n into n 2.412 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.412 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.412 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.412 * [taylor]: Taking taylor expansion of n in f 2.412 * [backup-simplify]: Simplify n into n 2.412 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.412 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.412 * [taylor]: Taking taylor expansion of f in f 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify 1 into 1 2.412 * [backup-simplify]: Simplify (/ 1 1) into 1 2.413 * [backup-simplify]: Simplify (+ 1 0) into 1 2.413 * [backup-simplify]: Simplify (- 1) into -1 2.413 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.413 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.414 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.414 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.415 * [backup-simplify]: Simplify (- 0) into 0 2.415 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.415 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.415 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 2.415 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 n)))) into (log (- (* 2 (/ 1 n)))) 2.415 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 2.416 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 2.416 * [backup-simplify]: Simplify (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) into (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 2.416 * [taylor]: Taking taylor expansion of 1 in f 2.416 * [backup-simplify]: Simplify 1 into 1 2.416 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.416 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 2.416 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.416 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.416 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.416 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.416 * [taylor]: Taking taylor expansion of 1 in f 2.416 * [backup-simplify]: Simplify 1 into 1 2.416 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.416 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.416 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.416 * [taylor]: Taking taylor expansion of f in f 2.416 * [backup-simplify]: Simplify 0 into 0 2.416 * [backup-simplify]: Simplify 1 into 1 2.416 * [backup-simplify]: Simplify (/ 1 1) into 1 2.416 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.416 * [taylor]: Taking taylor expansion of n in f 2.416 * [backup-simplify]: Simplify n into n 2.416 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.416 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.416 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.416 * [taylor]: Taking taylor expansion of n in f 2.417 * [backup-simplify]: Simplify n into n 2.417 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.417 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.417 * [taylor]: Taking taylor expansion of f in f 2.417 * [backup-simplify]: Simplify 0 into 0 2.417 * [backup-simplify]: Simplify 1 into 1 2.417 * [backup-simplify]: Simplify (/ 1 1) into 1 2.417 * [backup-simplify]: Simplify (+ 1 0) into 1 2.417 * [backup-simplify]: Simplify (- 1) into -1 2.418 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.418 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.418 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.424 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.424 * [backup-simplify]: Simplify (- 0) into 0 2.424 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.424 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.425 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 2.425 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 n)))) into (log (- (* 2 (/ 1 n)))) 2.425 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 2.425 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 2.425 * [backup-simplify]: Simplify (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) into (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 2.425 * [taylor]: Taking taylor expansion of 1 in f 2.425 * [backup-simplify]: Simplify 1 into 1 2.426 * [backup-simplify]: Simplify (- 1) into -1 2.426 * [backup-simplify]: Simplify (+ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) -1) into (- (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 1) 2.426 * [taylor]: Taking taylor expansion of (- (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 1) in n 2.426 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.426 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.426 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.426 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.426 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.426 * [taylor]: Taking taylor expansion of 2 in n 2.426 * [backup-simplify]: Simplify 2 into 2 2.426 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.426 * [taylor]: Taking taylor expansion of n in n 2.426 * [backup-simplify]: Simplify 0 into 0 2.426 * [backup-simplify]: Simplify 1 into 1 2.426 * [backup-simplify]: Simplify (/ 1 1) into 1 2.427 * [backup-simplify]: Simplify (* 2 1) into 2 2.427 * [backup-simplify]: Simplify (- 2) into -2 2.427 * [backup-simplify]: Simplify (- 2) into -2 2.427 * [backup-simplify]: Simplify (log -2) into (log -2) 2.427 * [taylor]: Taking taylor expansion of (log f) in n 2.427 * [taylor]: Taking taylor expansion of f in n 2.427 * [backup-simplify]: Simplify f into f 2.427 * [backup-simplify]: Simplify (log f) into (log f) 2.428 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 2.428 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 2.429 * [backup-simplify]: Simplify (exp (- (+ (log -2) (log f)) (log n))) into (exp (- (+ (log -2) (log f)) (log n))) 2.429 * [taylor]: Taking taylor expansion of 1 in n 2.429 * [backup-simplify]: Simplify 1 into 1 2.429 * [backup-simplify]: Simplify (- 1) into -1 2.429 * [backup-simplify]: Simplify (+ (exp (- (+ (log -2) (log f)) (log n))) -1) into (- (exp (- (+ (log -2) (log f)) (log n))) 1) 2.429 * [backup-simplify]: Simplify (- (exp (- (+ (log -2) (log f)) (log n))) 1) into (- (exp (- (+ (log -2) (log f)) (log n))) 1) 2.430 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 2.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.431 * [backup-simplify]: Simplify (+ 0 0) into 0 2.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.431 * [backup-simplify]: Simplify (- 0) into 0 2.432 * [backup-simplify]: Simplify (+ 0 0) into 0 2.432 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.432 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 2))))) into (- (* 2 (/ 1 (pow n 2)))) 2.433 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 1) into (/ 1 n) 2.433 * [backup-simplify]: Simplify (* (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) 2.433 * [backup-simplify]: Simplify (- 0) into 0 2.433 * [backup-simplify]: Simplify (+ (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) 0) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) 2.433 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) in n 2.433 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.433 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.433 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.433 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.434 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.434 * [taylor]: Taking taylor expansion of 2 in n 2.434 * [backup-simplify]: Simplify 2 into 2 2.434 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.434 * [taylor]: Taking taylor expansion of n in n 2.434 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify 1 into 1 2.434 * [backup-simplify]: Simplify (/ 1 1) into 1 2.434 * [backup-simplify]: Simplify (* 2 1) into 2 2.434 * [backup-simplify]: Simplify (- 2) into -2 2.435 * [backup-simplify]: Simplify (- 2) into -2 2.435 * [backup-simplify]: Simplify (log -2) into (log -2) 2.435 * [taylor]: Taking taylor expansion of (log f) in n 2.435 * [taylor]: Taking taylor expansion of f in n 2.435 * [backup-simplify]: Simplify f into f 2.435 * [backup-simplify]: Simplify (log f) into (log f) 2.435 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 2.436 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 2.436 * [backup-simplify]: Simplify (exp (- (+ (log -2) (log f)) (log n))) into (exp (- (+ (log -2) (log f)) (log n))) 2.436 * [taylor]: Taking taylor expansion of n in n 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify 1 into 1 2.436 * [backup-simplify]: Simplify (/ (exp (- (+ (log -2) (log f)) (log n))) 1) into (exp (- (+ (log -2) (log f)) (log n))) 2.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.437 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.437 * [backup-simplify]: Simplify (- 0) into 0 2.438 * [backup-simplify]: Simplify (- 2) into -2 2.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 2.439 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 2.439 * [backup-simplify]: Simplify (+ 0 0) into 0 2.440 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)))) into 0 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.442 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.442 * [backup-simplify]: Simplify (- 0) into 0 2.442 * [backup-simplify]: Simplify (- 2) into -2 2.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 2.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 2.444 * [backup-simplify]: Simplify (+ 0 0) into 0 2.444 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.445 * [backup-simplify]: Simplify (- 0) into 0 2.445 * [backup-simplify]: Simplify (+ 0 0) into 0 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 2.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.446 * [backup-simplify]: Simplify (+ 0 0) into 0 2.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.447 * [backup-simplify]: Simplify (- 0) into 0 2.447 * [backup-simplify]: Simplify (+ 0 0) into 0 2.448 * [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)))) 2.449 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 3))))) into (- (* 2 (/ 1 (pow n 3)))) 2.449 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 2)) (pow (- (* 2 (/ 1 n))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 2) into (/ 1/2 (pow n 2)) 2.450 * [backup-simplify]: Simplify (* (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (/ 1/2 (pow n 2)) 1) 1)))) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) 2.450 * [backup-simplify]: Simplify (- 0) into 0 2.450 * [backup-simplify]: Simplify (+ (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) 0) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) 2.450 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) in n 2.450 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.450 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.450 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.450 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.450 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.450 * [taylor]: Taking taylor expansion of 2 in n 2.450 * [backup-simplify]: Simplify 2 into 2 2.450 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.450 * [taylor]: Taking taylor expansion of n in n 2.450 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify 1 into 1 2.451 * [backup-simplify]: Simplify (/ 1 1) into 1 2.451 * [backup-simplify]: Simplify (* 2 1) into 2 2.451 * [backup-simplify]: Simplify (- 2) into -2 2.451 * [backup-simplify]: Simplify (- 2) into -2 2.451 * [backup-simplify]: Simplify (log -2) into (log -2) 2.451 * [taylor]: Taking taylor expansion of (log f) in n 2.451 * [taylor]: Taking taylor expansion of f in n 2.451 * [backup-simplify]: Simplify f into f 2.452 * [backup-simplify]: Simplify (log f) into (log f) 2.452 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 2.452 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 2.453 * [backup-simplify]: Simplify (exp (- (+ (log -2) (log f)) (log n))) into (exp (- (+ (log -2) (log f)) (log n))) 2.453 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.453 * [taylor]: Taking taylor expansion of n in n 2.453 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify 1 into 1 2.453 * [backup-simplify]: Simplify (* 1 1) into 1 2.453 * [backup-simplify]: Simplify (/ (exp (- (+ (log -2) (log f)) (log n))) 1) into (exp (- (+ (log -2) (log f)) (log n))) 2.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.454 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.454 * [backup-simplify]: Simplify (- 0) into 0 2.455 * [backup-simplify]: Simplify (- 2) into -2 2.455 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 2.456 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 2.456 * [backup-simplify]: Simplify (+ 0 0) into 0 2.456 * [backup-simplify]: Simplify (- 0) into 0 2.456 * [backup-simplify]: Simplify (- 2) into -2 2.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.457 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.458 * [backup-simplify]: Simplify (- 0) into 0 2.458 * [backup-simplify]: Simplify (- 2) into -2 2.459 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 2.460 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 2.461 * [backup-simplify]: Simplify (+ 0 0) into 0 2.462 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.463 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)))) into 0 2.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify (- 0) into 0 2.465 * [backup-simplify]: Simplify (- 2) into -2 2.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.466 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.467 * [backup-simplify]: Simplify (- 0) into 0 2.467 * [backup-simplify]: Simplify (- 2) into -2 2.468 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 2.469 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 2.470 * [backup-simplify]: Simplify (+ 0 0) into 0 2.472 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.473 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify (- 0) into 0 2.474 * [backup-simplify]: Simplify (- 2) into -2 2.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.475 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.475 * [backup-simplify]: Simplify (- 0) into 0 2.475 * [backup-simplify]: Simplify (- 2) into -2 2.476 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 2.477 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 2.478 * [backup-simplify]: Simplify (+ 0 0) into 0 2.479 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.479 * [backup-simplify]: Simplify (- 0) into 0 2.479 * [backup-simplify]: Simplify (+ 0 0) into 0 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 2.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.480 * [backup-simplify]: Simplify (+ 0 0) into 0 2.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.481 * [backup-simplify]: Simplify (- 0) into 0 2.481 * [backup-simplify]: Simplify (+ 0 0) into 0 2.483 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 3)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 4)))) 2.483 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 4))))) into (- (* 2 (/ 1 (pow n 4)))) 2.484 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 3)) (pow (- (* 2 (/ 1 n))) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow (- (* 2 (/ 1 n))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 4))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 6) into (/ 1/3 (pow n 3)) 2.485 * [backup-simplify]: Simplify (* (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (/ 1/2 (pow n 2)) 1) 1)) (* (/ (pow (/ 1/3 (pow n 3)) 1) 1)))) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) 2.485 * [backup-simplify]: Simplify (- 0) into 0 2.485 * [backup-simplify]: Simplify (+ (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) 0) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) 2.485 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) in n 2.485 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.485 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.485 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.485 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.485 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.485 * [taylor]: Taking taylor expansion of 2 in n 2.485 * [backup-simplify]: Simplify 2 into 2 2.485 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.485 * [taylor]: Taking taylor expansion of n in n 2.485 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify 1 into 1 2.485 * [backup-simplify]: Simplify (/ 1 1) into 1 2.486 * [backup-simplify]: Simplify (* 2 1) into 2 2.486 * [backup-simplify]: Simplify (- 2) into -2 2.486 * [backup-simplify]: Simplify (- 2) into -2 2.486 * [backup-simplify]: Simplify (log -2) into (log -2) 2.486 * [taylor]: Taking taylor expansion of (log f) in n 2.486 * [taylor]: Taking taylor expansion of f in n 2.486 * [backup-simplify]: Simplify f into f 2.487 * [backup-simplify]: Simplify (log f) into (log f) 2.487 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 2.487 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 2.488 * [backup-simplify]: Simplify (exp (- (+ (log -2) (log f)) (log n))) into (exp (- (+ (log -2) (log f)) (log n))) 2.488 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.488 * [taylor]: Taking taylor expansion of n in n 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify 1 into 1 2.488 * [backup-simplify]: Simplify (* 1 1) into 1 2.488 * [backup-simplify]: Simplify (* 1 1) into 1 2.488 * [backup-simplify]: Simplify (/ (exp (- (+ (log -2) (log f)) (log n))) 1) into (exp (- (+ (log -2) (log f)) (log n))) 2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.489 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.489 * [backup-simplify]: Simplify (- 0) into 0 2.490 * [backup-simplify]: Simplify (- 2) into -2 2.490 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 2.491 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 2.491 * [backup-simplify]: Simplify (+ 0 0) into 0 2.491 * [backup-simplify]: Simplify (- 0) into 0 2.492 * [backup-simplify]: Simplify (- 2) into -2 2.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.493 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.493 * [backup-simplify]: Simplify (- 0) into 0 2.493 * [backup-simplify]: Simplify (- 2) into -2 2.494 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 2.496 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 2.496 * [backup-simplify]: Simplify (+ 0 0) into 0 2.496 * [backup-simplify]: Simplify (- 0) into 0 2.496 * [backup-simplify]: Simplify (- 2) into -2 2.497 * [backup-simplify]: Simplify (- 0) into 0 2.497 * [backup-simplify]: Simplify (- 0) into 0 2.497 * [backup-simplify]: Simplify (- 2) into -2 2.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.498 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.498 * [backup-simplify]: Simplify (- 0) into 0 2.499 * [backup-simplify]: Simplify (- 2) into -2 2.501 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 2.503 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow f 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow f 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow f 1)))) 6) into 0 2.503 * [backup-simplify]: Simplify (+ 0 0) into 0 2.504 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.507 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)))) into 0 2.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.510 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.512 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify (- (exp (- (+ (log -2) (log (/ 1 (- f)))) (log (/ 1 (- n))))) 1) into (- (exp (- (+ (log -2) (log (/ -1 f))) (log (/ -1 n)))) 1) 2.513 * * * [progress]: simplifying candidates 2.520 * [simplify]: Simplifying: (+ 1 (/ (- (+ f n)) (- f n))) (expm1 (log1p (/ (- (+ f n)) (- f n)))) (log1p (log1p (/ (- (+ f n)) (- f n)))) (log (log1p (/ (- (+ f n)) (- f n)))) (exp (log1p (/ (- (+ f n)) (- f n)))) (* (cbrt (log1p (/ (- (+ f n)) (- f n)))) (cbrt (log1p (/ (- (+ f n)) (- f n))))) (cbrt (log1p (/ (- (+ f n)) (- f n)))) (* (* (log1p (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n)))) (log1p (/ (- (+ f n)) (- f n)))) (sqrt (log1p (/ (- (+ f n)) (- f n)))) (sqrt (log1p (/ (- (+ 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)) (exp (log1p (/ (- (+ f n)) (- f n)))) (expm1 (expm1 (log1p (/ (- (+ f n)) (- f n))))) (log1p (expm1 (log1p (/ (- (+ f n)) (- f n))))) (log (expm1 (log1p (/ (- (+ f n)) (- f n))))) (exp (expm1 (log1p (/ (- (+ f n)) (- f n))))) (* (cbrt (expm1 (log1p (/ (- (+ f n)) (- f n))))) (cbrt (expm1 (log1p (/ (- (+ f n)) (- f n)))))) (cbrt (expm1 (log1p (/ (- (+ f n)) (- f n))))) (* (* (expm1 (log1p (/ (- (+ f n)) (- f n)))) (expm1 (log1p (/ (- (+ f n)) (- f n))))) (expm1 (log1p (/ (- (+ f n)) (- f n))))) (sqrt (expm1 (log1p (/ (- (+ f n)) (- f n))))) (sqrt (expm1 (log1p (/ (- (+ f n)) (- f n))))) (log 2) (- (+ (log -2) (log (/ 1 f))) (log (/ 1 n))) (- (+ (log -2) (log (/ -1 f))) (log (/ -1 n))) 1 -1 -1 1 (- (exp (- (+ (log -2) (log (/ 1 f))) (log (/ 1 n)))) 1) (- (exp (- (+ (log -2) (log (/ -1 f))) (log (/ -1 n)))) 1) 2.520 * [simplify]: Sending expressions to egg_math: (+ 1 (/ (- (+ h1 h0)) (- h1 h0))) (expm1 (log1p (/ (- (+ h1 h0)) (- h1 h0)))) (log1p (log1p (/ (- (+ h1 h0)) (- h1 h0)))) (log (log1p (/ (- (+ h1 h0)) (- h1 h0)))) (exp (log1p (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (log1p (/ (- (+ h1 h0)) (- h1 h0)))) (cbrt (log1p (/ (- (+ h1 h0)) (- h1 h0))))) (cbrt (log1p (/ (- (+ h1 h0)) (- h1 h0)))) (* (* (log1p (/ (- (+ h1 h0)) (- h1 h0))) (log1p (/ (- 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h0)) (- h1 h0))))) (log1p (expm1 (log1p (/ (- (+ h1 h0)) (- h1 h0))))) (log (expm1 (log1p (/ (- (+ h1 h0)) (- h1 h0))))) (exp (expm1 (log1p (/ (- (+ h1 h0)) (- h1 h0))))) (* (cbrt (expm1 (log1p (/ (- (+ h1 h0)) (- h1 h0))))) (cbrt (expm1 (log1p (/ (- (+ h1 h0)) (- h1 h0)))))) (cbrt (expm1 (log1p (/ (- (+ h1 h0)) (- h1 h0))))) (* (* (expm1 (log1p (/ (- (+ h1 h0)) (- h1 h0)))) (expm1 (log1p (/ (- (+ h1 h0)) (- h1 h0))))) (expm1 (log1p (/ (- (+ h1 h0)) (- h1 h0))))) (sqrt (expm1 (log1p (/ (- (+ h1 h0)) (- h1 h0))))) (sqrt (expm1 (log1p (/ (- (+ h1 h0)) (- h1 h0))))) (log 2) (- (+ (log -2) (log (/ 1 h1))) (log (/ 1 h0))) (- (+ (log -2) (log (/ -1 h1))) (log (/ -1 h0))) 1 -1 -1 1 (- (exp (- (+ (log -2) (log (/ 1 h1))) (log (/ 1 h0)))) 1) (- (exp (- (+ (log -2) (log (/ -1 h1))) (log (/ -1 h0)))) 1) 2.525 * * [simplify]: iteration 0 : 364 enodes (cost 946 ) 2.531 * * [simplify]: iteration 1 : 1083 enodes (cost 907 ) 2.546 * * [simplify]: iteration 2 : 3442 enodes (cost 885 ) 2.587 * * [simplify]: iteration 3 : 5001 enodes (cost 884 ) 2.592 * * * [progress]: adding candidates to table 2.833 * [progress]: [Phase 3 of 3] Extracting. 2.833 * * [regime]: Finding splitpoints for: (# # #) 2.834 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 2.835 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 2.851 * * * * [regimes]: Trying to branch on n from (# # #) 2.864 * * * * [regimes]: Trying to branch on f from (# # #) 2.877 * * * [regime]: Found split indices: #