0.719 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.306 * * * [progress]: [2/2] Setting up program. 0.309 * [progress]: [Phase 2 of 3] Improving. 0.311 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.312 * [simplify]: Sending expressions to egg_math: (/ (- (+ h1 h0)) (- h1 h0)) 0.315 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.316 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.317 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.318 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.320 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.321 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.322 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.324 * * [progress]: iteration 1 / 4 0.324 * * * [progress]: picking best candidate 0.326 * * * * [pick]: Picked # 0.326 * * * [progress]: localizing error 0.333 * * * [progress]: generating rewritten candidates 0.333 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.396 * * * [progress]: generating series expansions 0.396 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.401 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.401 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.402 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.402 * [taylor]: Taking taylor expansion of -1 in n 0.402 * [backup-simplify]: Simplify -1 into -1 0.402 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.402 * [taylor]: Taking taylor expansion of (+ n f) in n 0.402 * [taylor]: Taking taylor expansion of n in n 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [taylor]: Taking taylor expansion of f in n 0.403 * [backup-simplify]: Simplify f into f 0.403 * [taylor]: Taking taylor expansion of (- f n) in n 0.403 * [taylor]: Taking taylor expansion of f in n 0.403 * [backup-simplify]: Simplify f into f 0.403 * [taylor]: Taking taylor expansion of n in n 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (+ 0 f) into f 0.404 * [backup-simplify]: Simplify (- 0) into 0 0.404 * [backup-simplify]: Simplify (+ f 0) into f 0.404 * [backup-simplify]: Simplify (/ f f) into 1 0.404 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.404 * [taylor]: Taking taylor expansion of -1 in f 0.404 * [backup-simplify]: Simplify -1 into -1 0.404 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.404 * [taylor]: Taking taylor expansion of (+ n f) in f 0.404 * [taylor]: Taking taylor expansion of n in f 0.404 * [backup-simplify]: Simplify n into n 0.404 * [taylor]: Taking taylor expansion of f in f 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [taylor]: Taking taylor expansion of (- f n) in f 0.404 * [taylor]: Taking taylor expansion of f in f 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [taylor]: Taking taylor expansion of n in f 0.404 * [backup-simplify]: Simplify n into n 0.404 * [backup-simplify]: Simplify (+ n 0) into n 0.404 * [backup-simplify]: Simplify (- n) into (- n) 0.404 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.404 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.404 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.404 * [taylor]: Taking taylor expansion of -1 in f 0.404 * [backup-simplify]: Simplify -1 into -1 0.404 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.404 * [taylor]: Taking taylor expansion of (+ n f) in f 0.404 * [taylor]: Taking taylor expansion of n in f 0.404 * [backup-simplify]: Simplify n into n 0.404 * [taylor]: Taking taylor expansion of f in f 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [taylor]: Taking taylor expansion of (- f n) in f 0.404 * [taylor]: Taking taylor expansion of f in f 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [taylor]: Taking taylor expansion of n in f 0.404 * [backup-simplify]: Simplify n into n 0.404 * [backup-simplify]: Simplify (+ n 0) into n 0.404 * [backup-simplify]: Simplify (- n) into (- n) 0.404 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.405 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.405 * [backup-simplify]: Simplify (* -1 -1) into 1 0.405 * [taylor]: Taking taylor expansion of 1 in n 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (+ 0 1) into 1 0.406 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ 1 0) into 1 0.407 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.407 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.407 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.407 * [taylor]: Taking taylor expansion of 2 in n 0.407 * [backup-simplify]: Simplify 2 into 2 0.407 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.407 * [taylor]: Taking taylor expansion of n in n 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [backup-simplify]: Simplify (- 0) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.410 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.410 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.410 * [taylor]: Taking taylor expansion of 2 in n 0.410 * [backup-simplify]: Simplify 2 into 2 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.410 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.410 * [taylor]: Taking taylor expansion of n in n 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (* 1 1) into 1 0.411 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [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)))) 0.417 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 0.417 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.417 * [taylor]: Taking taylor expansion of 2 in n 0.417 * [backup-simplify]: Simplify 2 into 2 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.417 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.417 * [taylor]: Taking taylor expansion of n in n 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (* 1 1) into 1 0.417 * [backup-simplify]: Simplify (* 1 1) into 1 0.418 * [backup-simplify]: Simplify (/ 1 1) into 1 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.424 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.424 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.424 * [taylor]: Taking taylor expansion of -1 in n 0.424 * [backup-simplify]: Simplify -1 into -1 0.424 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.424 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.424 * [taylor]: Taking taylor expansion of f in n 0.424 * [backup-simplify]: Simplify f into f 0.424 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.424 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.424 * [taylor]: Taking taylor expansion of n in n 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.424 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.424 * [taylor]: Taking taylor expansion of f in n 0.424 * [backup-simplify]: Simplify f into f 0.424 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.424 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.424 * [taylor]: Taking taylor expansion of n in n 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [backup-simplify]: Simplify (+ 0 1) into 1 0.425 * [backup-simplify]: Simplify (- 1) into -1 0.425 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.426 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.426 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.426 * [taylor]: Taking taylor expansion of -1 in f 0.426 * [backup-simplify]: Simplify -1 into -1 0.426 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.426 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.426 * [taylor]: Taking taylor expansion of f in f 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.426 * [taylor]: Taking taylor expansion of n in f 0.426 * [backup-simplify]: Simplify n into n 0.426 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.426 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.426 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.426 * [taylor]: Taking taylor expansion of f in f 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.426 * [taylor]: Taking taylor expansion of n in f 0.426 * [backup-simplify]: Simplify n into n 0.426 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.427 * [backup-simplify]: Simplify (+ 1 0) into 1 0.427 * [backup-simplify]: Simplify (+ 1 0) into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.427 * [taylor]: Taking taylor expansion of -1 in f 0.427 * [backup-simplify]: Simplify -1 into -1 0.427 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.427 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.427 * [taylor]: Taking taylor expansion of f in f 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.428 * [taylor]: Taking taylor expansion of n in f 0.428 * [backup-simplify]: Simplify n into n 0.428 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.428 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.428 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.428 * [taylor]: Taking taylor expansion of f in f 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.428 * [taylor]: Taking taylor expansion of n in f 0.428 * [backup-simplify]: Simplify n into n 0.428 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.428 * [backup-simplify]: Simplify (+ 1 0) into 1 0.428 * [backup-simplify]: Simplify (+ 1 0) into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [backup-simplify]: Simplify (* -1 1) into -1 0.429 * [taylor]: Taking taylor expansion of -1 in n 0.429 * [backup-simplify]: Simplify -1 into -1 0.429 * [backup-simplify]: Simplify -1 into -1 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.430 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.430 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.431 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.431 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.431 * [taylor]: Taking taylor expansion of 2 in n 0.431 * [backup-simplify]: Simplify 2 into 2 0.431 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.431 * [taylor]: Taking taylor expansion of n in n 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (/ 1 1) into 1 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.432 * [backup-simplify]: Simplify (- 0) into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.434 * [backup-simplify]: Simplify (- 0) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.435 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.435 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.435 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.435 * [taylor]: Taking taylor expansion of 2 in n 0.435 * [backup-simplify]: Simplify 2 into 2 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.435 * [taylor]: Taking taylor expansion of (pow n 2) 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 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.438 * [backup-simplify]: Simplify (- 0) into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.439 * [backup-simplify]: Simplify (- 0) into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.441 * [backup-simplify]: Simplify (- 0) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [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))) 0.443 * [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)))) 0.443 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.443 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.443 * [taylor]: Taking taylor expansion of 2 in n 0.443 * [backup-simplify]: Simplify 2 into 2 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.443 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.443 * [taylor]: Taking taylor expansion of n in n 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- 0) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify -1 into -1 0.449 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.449 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.449 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.449 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.449 * [taylor]: Taking taylor expansion of f in n 0.449 * [backup-simplify]: Simplify f into f 0.449 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.449 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.449 * [taylor]: Taking taylor expansion of n in n 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.449 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.449 * [taylor]: Taking taylor expansion of n in n 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.450 * [taylor]: Taking taylor expansion of f in n 0.450 * [backup-simplify]: Simplify f into f 0.450 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.450 * [backup-simplify]: Simplify (+ 0 1) into 1 0.450 * [backup-simplify]: Simplify (+ 1 0) into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.450 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.450 * [taylor]: Taking taylor expansion of f in f 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.451 * [taylor]: Taking taylor expansion of n in f 0.451 * [backup-simplify]: Simplify n into n 0.451 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.451 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.451 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.451 * [taylor]: Taking taylor expansion of n in f 0.451 * [backup-simplify]: Simplify n into n 0.451 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.451 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.451 * [taylor]: Taking taylor expansion of f in f 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [backup-simplify]: Simplify (+ 1 0) into 1 0.452 * [backup-simplify]: Simplify (- 1) into -1 0.452 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.452 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.452 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.452 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.452 * [taylor]: Taking taylor expansion of f in f 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.453 * [taylor]: Taking taylor expansion of n in f 0.453 * [backup-simplify]: Simplify n into n 0.453 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.453 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.453 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.453 * [taylor]: Taking taylor expansion of n in f 0.453 * [backup-simplify]: Simplify n into n 0.453 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.453 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.453 * [taylor]: Taking taylor expansion of f in f 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.453 * [backup-simplify]: Simplify (+ 1 0) into 1 0.454 * [backup-simplify]: Simplify (- 1) into -1 0.454 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.454 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.454 * [taylor]: Taking taylor expansion of -1 in n 0.454 * [backup-simplify]: Simplify -1 into -1 0.454 * [backup-simplify]: Simplify -1 into -1 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.456 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.456 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.456 * [taylor]: Taking taylor expansion of 2 in n 0.456 * [backup-simplify]: Simplify 2 into 2 0.456 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.456 * [taylor]: Taking taylor expansion of n in n 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.464 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.464 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.464 * [taylor]: Taking taylor expansion of 2 in n 0.464 * [backup-simplify]: Simplify 2 into 2 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.464 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.464 * [taylor]: Taking taylor expansion of n in n 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.468 * [backup-simplify]: Simplify (- 0) into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.469 * [backup-simplify]: Simplify (- 0) into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (- 0) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [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)))) 0.472 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.472 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) 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 (pow n 3)) in n 0.472 * [taylor]: Taking taylor expansion of (pow n 3) 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 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (- 0) into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify -1 into -1 0.478 * * * [progress]: simplifying candidates 0.480 * [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 0.480 * [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 0.485 * * [simplify]: iteration 0 : 293 enodes (cost 774 ) 0.489 * * [simplify]: iteration 1 : 927 enodes (cost 758 ) 0.502 * * [simplify]: iteration 2 : 3021 enodes (cost 743 ) 0.539 * * [simplify]: iteration 3 : 5001 enodes (cost 743 ) 0.542 * * * [progress]: adding candidates to table 0.685 * * [progress]: iteration 2 / 4 0.685 * * * [progress]: picking best candidate 0.691 * * * * [pick]: Picked # 0.691 * * * [progress]: localizing error 0.698 * * * [progress]: generating rewritten candidates 0.698 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.721 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.774 * * * [progress]: generating series expansions 0.775 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.775 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 0.775 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 0.775 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 0.775 * [taylor]: Taking taylor expansion of (- f n) in n 0.775 * [taylor]: Taking taylor expansion of f in n 0.775 * [backup-simplify]: Simplify f into f 0.775 * [taylor]: Taking taylor expansion of n in n 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [taylor]: Taking taylor expansion of (+ n f) in n 0.775 * [taylor]: Taking taylor expansion of n in n 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [taylor]: Taking taylor expansion of f in n 0.775 * [backup-simplify]: Simplify f into f 0.775 * [backup-simplify]: Simplify (- 0) into 0 0.775 * [backup-simplify]: Simplify (+ f 0) into f 0.775 * [backup-simplify]: Simplify (+ 0 f) into f 0.775 * [backup-simplify]: Simplify (/ f f) into 1 0.775 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.775 * [taylor]: Taking taylor expansion of (- f n) in f 0.776 * [taylor]: Taking taylor expansion of f in f 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.776 * [taylor]: Taking taylor expansion of n in f 0.776 * [backup-simplify]: Simplify n into n 0.776 * [taylor]: Taking taylor expansion of (+ n f) in f 0.776 * [taylor]: Taking taylor expansion of n in f 0.776 * [backup-simplify]: Simplify n into n 0.776 * [taylor]: Taking taylor expansion of f in f 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.776 * [backup-simplify]: Simplify (- n) into (- n) 0.776 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.776 * [backup-simplify]: Simplify (+ n 0) into n 0.776 * [backup-simplify]: Simplify (/ (- n) n) into -1 0.776 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.776 * [taylor]: Taking taylor expansion of (- f n) in f 0.776 * [taylor]: Taking taylor expansion of f in f 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.776 * [taylor]: Taking taylor expansion of n in f 0.776 * [backup-simplify]: Simplify n into n 0.776 * [taylor]: Taking taylor expansion of (+ n f) in f 0.776 * [taylor]: Taking taylor expansion of n in f 0.776 * [backup-simplify]: Simplify n into n 0.776 * [taylor]: Taking taylor expansion of f in f 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.776 * [backup-simplify]: Simplify (- n) into (- n) 0.776 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.776 * [backup-simplify]: Simplify (+ n 0) into n 0.776 * [backup-simplify]: Simplify (/ (- n) n) into -1 0.776 * [taylor]: Taking taylor expansion of -1 in n 0.776 * [backup-simplify]: Simplify -1 into -1 0.776 * [backup-simplify]: Simplify -1 into -1 0.776 * [backup-simplify]: Simplify (- 0) into 0 0.777 * [backup-simplify]: Simplify (+ 1 0) into 1 0.777 * [backup-simplify]: Simplify (+ 0 1) into 1 0.777 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 0.777 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.777 * [taylor]: Taking taylor expansion of 2 in n 0.777 * [backup-simplify]: Simplify 2 into 2 0.777 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.777 * [taylor]: Taking taylor expansion of n in n 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (/ 1 1) into 1 0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.778 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify (- 0) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 0.779 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.779 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.779 * [taylor]: Taking taylor expansion of 2 in n 0.779 * [backup-simplify]: Simplify 2 into 2 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.779 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.779 * [taylor]: Taking taylor expansion of n in n 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (* 1 1) into 1 0.780 * [backup-simplify]: Simplify (/ 1 1) into 1 0.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.782 * [backup-simplify]: Simplify (- 0) into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (- 0) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [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))) 0.784 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.784 * [taylor]: Taking taylor expansion of 2 in n 0.784 * [backup-simplify]: Simplify 2 into 2 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.784 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.784 * [taylor]: Taking taylor expansion of n in n 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (* 1 1) into 1 0.785 * [backup-simplify]: Simplify (* 1 1) into 1 0.785 * [backup-simplify]: Simplify (/ 1 1) into 1 0.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify -1 into -1 0.790 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 0.790 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 0.790 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 0.790 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.790 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.790 * [taylor]: Taking taylor expansion of f in n 0.790 * [backup-simplify]: Simplify f into f 0.790 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.790 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.790 * [taylor]: Taking taylor expansion of n in n 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (/ 1 1) into 1 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.790 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.790 * [taylor]: Taking taylor expansion of f in n 0.790 * [backup-simplify]: Simplify f into f 0.790 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.791 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.791 * [taylor]: Taking taylor expansion of n in n 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (/ 1 1) into 1 0.791 * [backup-simplify]: Simplify (- 1) into -1 0.791 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.792 * [backup-simplify]: Simplify (+ 0 1) into 1 0.792 * [backup-simplify]: Simplify (/ -1 1) into -1 0.792 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.792 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.792 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.792 * [taylor]: Taking taylor expansion of f in f 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 1 into 1 0.792 * [backup-simplify]: Simplify (/ 1 1) into 1 0.792 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.792 * [taylor]: Taking taylor expansion of n in f 0.792 * [backup-simplify]: Simplify n into n 0.792 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.792 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.792 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.792 * [taylor]: Taking taylor expansion of f in f 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 1 into 1 0.792 * [backup-simplify]: Simplify (/ 1 1) into 1 0.792 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.793 * [taylor]: Taking taylor expansion of n in f 0.793 * [backup-simplify]: Simplify n into n 0.793 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.793 * [backup-simplify]: Simplify (+ 1 0) into 1 0.793 * [backup-simplify]: Simplify (+ 1 0) into 1 0.793 * [backup-simplify]: Simplify (/ 1 1) into 1 0.793 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.793 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.793 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.793 * [taylor]: Taking taylor expansion of f in f 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (/ 1 1) into 1 0.794 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.794 * [taylor]: Taking taylor expansion of n in f 0.794 * [backup-simplify]: Simplify n into n 0.794 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.794 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.794 * [taylor]: Taking taylor expansion of f in f 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (/ 1 1) into 1 0.794 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.794 * [taylor]: Taking taylor expansion of n in f 0.794 * [backup-simplify]: Simplify n into n 0.794 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.794 * [backup-simplify]: Simplify (+ 1 0) into 1 0.795 * [backup-simplify]: Simplify (+ 1 0) into 1 0.795 * [backup-simplify]: Simplify (/ 1 1) into 1 0.795 * [taylor]: Taking taylor expansion of 1 in n 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.795 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.796 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.796 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 0.796 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.796 * [taylor]: Taking taylor expansion of (* 2 (/ 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 (/ 1 n) in n 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 0.796 * [backup-simplify]: Simplify (/ 1 1) into 1 0.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.797 * [backup-simplify]: Simplify (- 0) into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.798 * [backup-simplify]: Simplify (- 0) into 0 0.798 * [backup-simplify]: Simplify (+ 0 0) into 0 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.799 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 0.800 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.800 * [taylor]: Taking taylor expansion of 2 in n 0.800 * [backup-simplify]: Simplify 2 into 2 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.800 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.800 * [taylor]: Taking taylor expansion of n in n 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (* 1 1) into 1 0.801 * [backup-simplify]: Simplify (/ 1 1) into 1 0.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.804 * [backup-simplify]: Simplify (- 0) into 0 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.805 * [backup-simplify]: Simplify (- 0) into 0 0.805 * [backup-simplify]: Simplify (+ 0 0) into 0 0.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.806 * [backup-simplify]: Simplify (+ 0 0) into 0 0.807 * [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)))) 0.807 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.807 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.807 * [taylor]: Taking taylor expansion of 2 in n 0.807 * [backup-simplify]: Simplify 2 into 2 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.807 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.807 * [taylor]: Taking taylor expansion of n in n 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 1 into 1 0.807 * [backup-simplify]: Simplify (* 1 1) into 1 0.808 * [backup-simplify]: Simplify (* 1 1) into 1 0.808 * [backup-simplify]: Simplify (/ 1 1) into 1 0.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (- 0) into 0 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 0.817 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 0.817 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 0.817 * [taylor]: Taking taylor expansion of -1 in n 0.818 * [backup-simplify]: Simplify -1 into -1 0.818 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 0.818 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.818 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.818 * [taylor]: Taking taylor expansion of n in n 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (/ 1 1) into 1 0.818 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.818 * [taylor]: Taking taylor expansion of f in n 0.818 * [backup-simplify]: Simplify f into f 0.818 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.818 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.818 * [taylor]: Taking taylor expansion of f in n 0.818 * [backup-simplify]: Simplify f into f 0.818 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.818 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.818 * [taylor]: Taking taylor expansion of n in n 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (/ 1 1) into 1 0.819 * [backup-simplify]: Simplify (+ 1 0) into 1 0.819 * [backup-simplify]: Simplify (+ 0 1) into 1 0.819 * [backup-simplify]: Simplify (/ 1 1) into 1 0.819 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.819 * [taylor]: Taking taylor expansion of -1 in f 0.819 * [backup-simplify]: Simplify -1 into -1 0.819 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.819 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.819 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.819 * [taylor]: Taking taylor expansion of n in f 0.819 * [backup-simplify]: Simplify n into n 0.819 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.819 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.819 * [taylor]: Taking taylor expansion of f in f 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 1 into 1 0.819 * [backup-simplify]: Simplify (/ 1 1) into 1 0.819 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.819 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.820 * [taylor]: Taking taylor expansion of f in f 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [backup-simplify]: Simplify (/ 1 1) into 1 0.820 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.820 * [taylor]: Taking taylor expansion of n in f 0.820 * [backup-simplify]: Simplify n into n 0.820 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.820 * [backup-simplify]: Simplify (- 1) into -1 0.820 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.821 * [backup-simplify]: Simplify (+ 1 0) into 1 0.821 * [backup-simplify]: Simplify (/ -1 1) into -1 0.821 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.821 * [taylor]: Taking taylor expansion of -1 in f 0.821 * [backup-simplify]: Simplify -1 into -1 0.821 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.821 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.821 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.821 * [taylor]: Taking taylor expansion of n in f 0.821 * [backup-simplify]: Simplify n into n 0.821 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.821 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.821 * [taylor]: Taking taylor expansion of f in f 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (/ 1 1) into 1 0.821 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.821 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.821 * [taylor]: Taking taylor expansion of f in f 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.822 * [backup-simplify]: Simplify (/ 1 1) into 1 0.822 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.822 * [taylor]: Taking taylor expansion of n in f 0.822 * [backup-simplify]: Simplify n into n 0.822 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.822 * [backup-simplify]: Simplify (- 1) into -1 0.822 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.822 * [backup-simplify]: Simplify (+ 1 0) into 1 0.823 * [backup-simplify]: Simplify (/ -1 1) into -1 0.823 * [backup-simplify]: Simplify (* -1 -1) into 1 0.823 * [taylor]: Taking taylor expansion of 1 in n 0.823 * [backup-simplify]: Simplify 1 into 1 0.823 * [backup-simplify]: Simplify 1 into 1 0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.824 * [backup-simplify]: Simplify (- 0) into 0 0.824 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.824 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.824 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 0.825 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 0.825 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.825 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.825 * [taylor]: Taking taylor expansion of 2 in n 0.825 * [backup-simplify]: Simplify 2 into 2 0.825 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.825 * [taylor]: Taking taylor expansion of n in n 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 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.826 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.826 * [backup-simplify]: Simplify (- 0) into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (- 0) into 0 0.827 * [backup-simplify]: Simplify (+ 0 0) into 0 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.828 * [backup-simplify]: Simplify (+ 0 0) into 0 0.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.829 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.829 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.829 * [taylor]: Taking taylor expansion of 2 in n 0.829 * [backup-simplify]: Simplify 2 into 2 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.829 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.829 * [taylor]: Taking taylor expansion of n in n 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 1 into 1 0.829 * [backup-simplify]: Simplify (* 1 1) into 1 0.829 * [backup-simplify]: Simplify (/ 1 1) into 1 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.833 * [backup-simplify]: Simplify (- 0) into 0 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (- 0) into 0 0.834 * [backup-simplify]: Simplify (+ 0 0) into 0 0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.835 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [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))) 0.837 * [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)))) 0.837 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.837 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.837 * [taylor]: Taking taylor expansion of 2 in n 0.837 * [backup-simplify]: Simplify 2 into 2 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.837 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.837 * [taylor]: Taking taylor expansion of n in n 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify 1 into 1 0.837 * [backup-simplify]: Simplify (* 1 1) into 1 0.837 * [backup-simplify]: Simplify (* 1 1) into 1 0.837 * [backup-simplify]: Simplify (/ 1 1) into 1 0.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.842 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.842 * [backup-simplify]: Simplify (- 0) into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.843 * [backup-simplify]: Simplify (/ (- 1) (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 0.843 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.843 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.843 * [taylor]: Taking taylor expansion of -1 in n 0.843 * [backup-simplify]: Simplify -1 into -1 0.843 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.843 * [taylor]: Taking taylor expansion of (+ n f) in n 0.843 * [taylor]: Taking taylor expansion of n in n 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [taylor]: Taking taylor expansion of f in n 0.843 * [backup-simplify]: Simplify f into f 0.843 * [taylor]: Taking taylor expansion of (- f n) in n 0.843 * [taylor]: Taking taylor expansion of f in n 0.843 * [backup-simplify]: Simplify f into f 0.843 * [taylor]: Taking taylor expansion of n in n 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [backup-simplify]: Simplify (+ 0 f) into f 0.843 * [backup-simplify]: Simplify (- 0) into 0 0.843 * [backup-simplify]: Simplify (+ f 0) into f 0.843 * [backup-simplify]: Simplify (/ f f) into 1 0.843 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.843 * [taylor]: Taking taylor expansion of -1 in f 0.843 * [backup-simplify]: Simplify -1 into -1 0.843 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.843 * [taylor]: Taking taylor expansion of (+ n f) in f 0.843 * [taylor]: Taking taylor expansion of n in f 0.843 * [backup-simplify]: Simplify n into n 0.843 * [taylor]: Taking taylor expansion of f in f 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [taylor]: Taking taylor expansion of (- f n) in f 0.843 * [taylor]: Taking taylor expansion of f in f 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [taylor]: Taking taylor expansion of n in f 0.844 * [backup-simplify]: Simplify n into n 0.844 * [backup-simplify]: Simplify (+ n 0) into n 0.844 * [backup-simplify]: Simplify (- n) into (- n) 0.844 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.844 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.844 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.844 * [taylor]: Taking taylor expansion of -1 in f 0.844 * [backup-simplify]: Simplify -1 into -1 0.844 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.844 * [taylor]: Taking taylor expansion of (+ n f) in f 0.844 * [taylor]: Taking taylor expansion of n in f 0.844 * [backup-simplify]: Simplify n into n 0.844 * [taylor]: Taking taylor expansion of f in f 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 1 into 1 0.844 * [taylor]: Taking taylor expansion of (- f n) in f 0.844 * [taylor]: Taking taylor expansion of f in f 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 1 into 1 0.844 * [taylor]: Taking taylor expansion of n in f 0.844 * [backup-simplify]: Simplify n into n 0.844 * [backup-simplify]: Simplify (+ n 0) into n 0.844 * [backup-simplify]: Simplify (- n) into (- n) 0.844 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.844 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.844 * [backup-simplify]: Simplify (* -1 -1) into 1 0.844 * [taylor]: Taking taylor expansion of 1 in n 0.844 * [backup-simplify]: Simplify 1 into 1 0.844 * [backup-simplify]: Simplify 1 into 1 0.845 * [backup-simplify]: Simplify (+ 0 1) into 1 0.845 * [backup-simplify]: Simplify (- 0) into 0 0.845 * [backup-simplify]: Simplify (+ 1 0) into 1 0.845 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.845 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.845 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.845 * [taylor]: Taking taylor expansion of 2 in n 0.845 * [backup-simplify]: Simplify 2 into 2 0.846 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.846 * [taylor]: Taking taylor expansion of n in n 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [backup-simplify]: Simplify (/ 1 1) into 1 0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify (+ 0 0) into 0 0.847 * [backup-simplify]: Simplify (- 0) into 0 0.847 * [backup-simplify]: Simplify (+ 0 0) into 0 0.847 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.848 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.848 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.848 * [taylor]: Taking taylor expansion of 2 in n 0.848 * [backup-simplify]: Simplify 2 into 2 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.848 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.848 * [taylor]: Taking taylor expansion of n in n 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (* 1 1) into 1 0.848 * [backup-simplify]: Simplify (/ 1 1) into 1 0.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.851 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify (+ 0 0) into 0 0.853 * [backup-simplify]: Simplify (- 0) into 0 0.853 * [backup-simplify]: Simplify (+ 0 0) into 0 0.853 * [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)))) 0.854 * [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))) 0.854 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.854 * [taylor]: Taking taylor expansion of 2 in n 0.854 * [backup-simplify]: Simplify 2 into 2 0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.854 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.854 * [taylor]: Taking taylor expansion of n in n 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [backup-simplify]: Simplify (* 1 1) into 1 0.854 * [backup-simplify]: Simplify (* 1 1) into 1 0.855 * [backup-simplify]: Simplify (/ 1 1) into 1 0.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.859 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 1 into 1 0.860 * [backup-simplify]: Simplify (/ (- 1) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.860 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.860 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.860 * [taylor]: Taking taylor expansion of -1 in n 0.860 * [backup-simplify]: Simplify -1 into -1 0.860 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.860 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.860 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.860 * [taylor]: Taking taylor expansion of f in n 0.860 * [backup-simplify]: Simplify f into f 0.860 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.860 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.860 * [taylor]: Taking taylor expansion of n in n 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 1 into 1 0.860 * [backup-simplify]: Simplify (/ 1 1) into 1 0.860 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.860 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.860 * [taylor]: Taking taylor expansion of f in n 0.860 * [backup-simplify]: Simplify f into f 0.860 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.860 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.860 * [taylor]: Taking taylor expansion of n in n 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 1 into 1 0.861 * [backup-simplify]: Simplify (/ 1 1) into 1 0.861 * [backup-simplify]: Simplify (+ 0 1) into 1 0.861 * [backup-simplify]: Simplify (- 1) into -1 0.862 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.862 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.862 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.862 * [taylor]: Taking taylor expansion of -1 in f 0.862 * [backup-simplify]: Simplify -1 into -1 0.862 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.862 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.862 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.862 * [taylor]: Taking taylor expansion of f in f 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [backup-simplify]: Simplify (/ 1 1) into 1 0.862 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.862 * [taylor]: Taking taylor expansion of n in f 0.862 * [backup-simplify]: Simplify n into n 0.862 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.862 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.862 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.862 * [taylor]: Taking taylor expansion of f in f 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.863 * [backup-simplify]: Simplify (/ 1 1) into 1 0.863 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.863 * [taylor]: Taking taylor expansion of n in f 0.863 * [backup-simplify]: Simplify n into n 0.863 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.863 * [backup-simplify]: Simplify (+ 1 0) into 1 0.863 * [backup-simplify]: Simplify (+ 1 0) into 1 0.863 * [backup-simplify]: Simplify (/ 1 1) into 1 0.863 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.863 * [taylor]: Taking taylor expansion of -1 in f 0.863 * [backup-simplify]: Simplify -1 into -1 0.863 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.863 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.863 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.863 * [taylor]: Taking taylor expansion of f in f 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [backup-simplify]: Simplify (/ 1 1) into 1 0.864 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.864 * [taylor]: Taking taylor expansion of n in f 0.864 * [backup-simplify]: Simplify n into n 0.864 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.864 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.864 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.864 * [taylor]: Taking taylor expansion of f in f 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [backup-simplify]: Simplify (/ 1 1) into 1 0.864 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.864 * [taylor]: Taking taylor expansion of n in f 0.864 * [backup-simplify]: Simplify n into n 0.864 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.864 * [backup-simplify]: Simplify (+ 1 0) into 1 0.865 * [backup-simplify]: Simplify (+ 1 0) into 1 0.865 * [backup-simplify]: Simplify (/ 1 1) into 1 0.865 * [backup-simplify]: Simplify (* -1 1) into -1 0.865 * [taylor]: Taking taylor expansion of -1 in n 0.865 * [backup-simplify]: Simplify -1 into -1 0.865 * [backup-simplify]: Simplify -1 into -1 0.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.866 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.866 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.866 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.866 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.867 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.867 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.867 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.867 * [taylor]: Taking taylor expansion of 2 in n 0.867 * [backup-simplify]: Simplify 2 into 2 0.867 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.867 * [taylor]: Taking taylor expansion of n in n 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (/ 1 1) into 1 0.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.868 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.868 * [backup-simplify]: Simplify (- 0) into 0 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.869 * [backup-simplify]: Simplify (+ 0 0) into 0 0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.870 * [backup-simplify]: Simplify (- 0) into 0 0.870 * [backup-simplify]: Simplify (+ 0 0) into 0 0.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) 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 (/ 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 0.872 * [backup-simplify]: Simplify (* 1 1) into 1 0.872 * [backup-simplify]: Simplify (/ 1 1) into 1 0.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.874 * [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 0 into 0 0.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.876 * [backup-simplify]: Simplify (- 0) into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.877 * [backup-simplify]: Simplify (+ 0 0) into 0 0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.877 * [backup-simplify]: Simplify (- 0) into 0 0.878 * [backup-simplify]: Simplify (+ 0 0) into 0 0.879 * [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))) 0.879 * [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)))) 0.879 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.879 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.879 * [taylor]: Taking taylor expansion of 2 in n 0.879 * [backup-simplify]: Simplify 2 into 2 0.879 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.879 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.879 * [taylor]: Taking taylor expansion of n in n 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (* 1 1) into 1 0.880 * [backup-simplify]: Simplify (* 1 1) into 1 0.880 * [backup-simplify]: Simplify (/ 1 1) into 1 0.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.885 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.885 * [backup-simplify]: Simplify (- 0) into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify -1 into -1 0.885 * [backup-simplify]: Simplify (/ (- 1) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.885 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.886 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.886 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.886 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.886 * [taylor]: Taking taylor expansion of f in n 0.886 * [backup-simplify]: Simplify f into f 0.886 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.886 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.886 * [taylor]: Taking taylor expansion of n in n 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [backup-simplify]: Simplify (/ 1 1) into 1 0.886 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.886 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.886 * [taylor]: Taking taylor expansion of n in n 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [backup-simplify]: Simplify (/ 1 1) into 1 0.886 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.886 * [taylor]: Taking taylor expansion of f in n 0.886 * [backup-simplify]: Simplify f into f 0.886 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.887 * [backup-simplify]: Simplify (+ 0 1) into 1 0.887 * [backup-simplify]: Simplify (+ 1 0) into 1 0.887 * [backup-simplify]: Simplify (/ 1 1) into 1 0.887 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.887 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.887 * [taylor]: Taking taylor expansion of f in f 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [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 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 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 0.888 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.888 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.888 * [taylor]: Taking taylor expansion of f in f 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [backup-simplify]: Simplify (/ 1 1) into 1 0.888 * [backup-simplify]: Simplify (+ 1 0) into 1 0.888 * [backup-simplify]: Simplify (- 1) into -1 0.888 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.889 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.889 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.889 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.889 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.889 * [taylor]: Taking taylor expansion of f in f 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.889 * [backup-simplify]: Simplify (/ 1 1) into 1 0.889 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.889 * [taylor]: Taking taylor expansion of n in f 0.889 * [backup-simplify]: Simplify n into n 0.889 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.889 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.889 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.889 * [taylor]: Taking taylor expansion of n in f 0.889 * [backup-simplify]: Simplify n into n 0.889 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.889 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.889 * [taylor]: Taking taylor expansion of f in f 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) into 1 0.890 * [backup-simplify]: Simplify (- 1) into -1 0.890 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.890 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.891 * [taylor]: Taking taylor expansion of -1 in n 0.891 * [backup-simplify]: Simplify -1 into -1 0.891 * [backup-simplify]: Simplify -1 into -1 0.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (- 0) into 0 0.892 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.892 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.892 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.892 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.892 * [taylor]: Taking taylor expansion of 2 in n 0.892 * [backup-simplify]: Simplify 2 into 2 0.892 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.892 * [taylor]: Taking taylor expansion of n in n 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 1 into 1 0.892 * [backup-simplify]: Simplify (/ 1 1) into 1 0.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.893 * [backup-simplify]: Simplify (- 0) into 0 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.894 * [backup-simplify]: Simplify (+ 0 0) into 0 0.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (- 0) into 0 0.895 * [backup-simplify]: Simplify (+ 0 0) into 0 0.896 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.896 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.896 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.896 * [taylor]: Taking taylor expansion of 2 in n 0.896 * [backup-simplify]: Simplify 2 into 2 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.896 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.896 * [taylor]: Taking taylor expansion of n in n 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.896 * [backup-simplify]: Simplify (* 1 1) into 1 0.897 * [backup-simplify]: Simplify (/ 1 1) into 1 0.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.899 * [backup-simplify]: Simplify (- 0) into 0 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.901 * [backup-simplify]: Simplify (- 0) into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.902 * [backup-simplify]: Simplify (+ 0 0) into 0 0.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (- 0) into 0 0.903 * [backup-simplify]: Simplify (+ 0 0) into 0 0.904 * [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)))) 0.904 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.904 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.904 * [taylor]: Taking taylor expansion of 2 in n 0.904 * [backup-simplify]: Simplify 2 into 2 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.904 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.904 * [taylor]: Taking taylor expansion of n in n 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (* 1 1) into 1 0.905 * [backup-simplify]: Simplify (* 1 1) into 1 0.905 * [backup-simplify]: Simplify (/ 1 1) into 1 0.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (- 0) into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify -1 into -1 0.912 * * * [progress]: simplifying candidates 0.918 * [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)) (/ f (+ f n)) (/ 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))) 1) (/ (cbrt (- f n)) (+ 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(- h1 h0) (+ h1 h0))) (cbrt (/ (- h1 h0) (+ h1 h0))))) (/ (- (cbrt 1)) (cbrt (/ (- h1 h0) (+ h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- h1 h0) (+ h1 h0)))) (/ (- (cbrt 1)) (sqrt (/ (- h1 h0) (+ h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- (cbrt 1)) (/ (cbrt (- h1 h0)) (cbrt (+ h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (sqrt (+ h1 h0)))) (/ (- (cbrt 1)) (/ (cbrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ (- (cbrt 1)) (/ (cbrt (- h1 h0)) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ (- (cbrt 1)) (/ (cbrt (- h1 h0)) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- h1 h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- (cbrt 1)) (/ (sqrt (- h1 h0)) (cbrt (+ h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ (- (cbrt 1)) (/ (sqrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- h1 h0)) 1)) (/ (- (cbrt 1)) (/ (sqrt (- h1 h0)) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- h1 h0)) 1)) (/ (- (cbrt 1)) (/ (sqrt (- h1 h0)) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- (cbrt 1)) (/ (- h1 h0) (cbrt (+ h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (+ h1 h0)))) (/ (- (cbrt 1)) (/ (- h1 h0) (sqrt (+ h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (- (cbrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (- (cbrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (sqrt h1) (sqrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- (cbrt 1)) (/ (- (sqrt h1) (sqrt h0)) (cbrt (+ h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))) (/ (- (cbrt 1)) (/ (- (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ (- (cbrt 1)) (/ (- (sqrt h1) (sqrt h0)) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ (- (cbrt 1)) (/ (- (sqrt h1) (sqrt h0)) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- (cbrt 1)) (/ (- h1 h0) (cbrt (+ h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (+ h1 h0)))) (/ (- (cbrt 1)) (/ (- h1 h0) (sqrt (+ h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (- (cbrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (- (cbrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (- (cbrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (- h1 h0)) (/ (- (cbrt 1)) (/ 1 (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (/ (- h1 h0) (+ (pow h1 3) (pow h0 3)))) (/ (- (cbrt 1)) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (- h1 h0) (- (* h1 h1) (* h0 h0)))) (/ (- (cbrt 1)) (- h1 h0)) (/ (sqrt 1) (* (cbrt (/ (- h1 h0) (+ h1 h0))) (cbrt (/ (- h1 h0) (+ h1 h0))))) (/ (- (sqrt 1)) (cbrt (/ (- h1 h0) (+ h1 h0)))) (/ (sqrt 1) (sqrt (/ (- h1 h0) (+ h1 h0)))) (/ (- (sqrt 1)) (sqrt (/ (- h1 h0) (+ h1 h0)))) (/ (sqrt 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- (sqrt 1)) (/ (cbrt (- h1 h0)) (cbrt (+ h1 h0)))) (/ (sqrt 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (sqrt (+ h1 h0)))) (/ (- (sqrt 1)) (/ (cbrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ (sqrt 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ (- (sqrt 1)) (/ (cbrt (- h1 h0)) (+ h1 h0))) (/ (sqrt 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ (- (sqrt 1)) (/ (cbrt (- h1 h0)) (+ h1 h0))) (/ (sqrt 1) (/ (sqrt (- h1 h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- (sqrt 1)) (/ (sqrt (- h1 h0)) (cbrt (+ h1 h0)))) (/ (sqrt 1) (/ (sqrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ (- (sqrt 1)) (/ (sqrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ (sqrt 1) (/ (sqrt (- h1 h0)) 1)) (/ (- (sqrt 1)) (/ (sqrt (- h1 h0)) (+ h1 h0))) (/ (sqrt 1) (/ (sqrt (- h1 h0)) 1)) (/ (- (sqrt 1)) (/ (sqrt (- h1 h0)) (+ h1 h0))) (/ (sqrt 1) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- (sqrt 1)) (/ (- h1 h0) (cbrt (+ h1 h0)))) (/ (sqrt 1) (/ 1 (sqrt (+ h1 h0)))) (/ (- (sqrt 1)) (/ (- h1 h0) (sqrt (+ h1 h0)))) (/ (sqrt 1) (/ 1 1)) (/ (- (sqrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (sqrt 1) (/ 1 1)) (/ (- (sqrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (sqrt 1) (/ (+ (sqrt h1) (sqrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- (sqrt 1)) (/ (- (sqrt h1) (sqrt h0)) (cbrt (+ h1 h0)))) (/ (sqrt 1) (/ (+ (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))) (/ (- (sqrt 1)) (/ (- (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))) (/ (sqrt 1) (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ (- (sqrt 1)) (/ (- (sqrt h1) (sqrt h0)) (+ h1 h0))) (/ (sqrt 1) (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ (- (sqrt 1)) (/ (- (sqrt h1) (sqrt h0)) (+ h1 h0))) (/ (sqrt 1) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- (sqrt 1)) (/ (- h1 h0) (cbrt (+ h1 h0)))) (/ (sqrt 1) (/ 1 (sqrt (+ h1 h0)))) (/ (- (sqrt 1)) (/ (- h1 h0) (sqrt (+ h1 h0)))) (/ (sqrt 1) (/ 1 1)) (/ (- (sqrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (sqrt 1) (/ 1 1)) (/ (- (sqrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (sqrt 1) 1) (/ (- (sqrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (sqrt 1) (- h1 h0)) (/ (- (sqrt 1)) (/ 1 (+ h1 h0))) (/ (sqrt 1) (/ (- h1 h0) (+ (pow h1 3) (pow h0 3)))) (/ (- (sqrt 1)) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (/ (sqrt 1) (/ (- h1 h0) (- (* h1 h1) (* h0 h0)))) (/ (- (sqrt 1)) (- h1 h0)) (/ 1 (* (cbrt (/ (- h1 h0) (+ h1 h0))) (cbrt (/ (- h1 h0) (+ h1 h0))))) (/ (- 1) (cbrt (/ (- h1 h0) (+ h1 h0)))) (/ 1 (sqrt (/ (- h1 h0) (+ h1 h0)))) (/ (- 1) (sqrt (/ (- h1 h0) (+ h1 h0)))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (cbrt (- h1 h0)) (cbrt (+ h1 h0)))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (sqrt (+ h1 h0)))) (/ (- 1) (/ (cbrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ (- 1) (/ (cbrt (- h1 h0)) (+ h1 h0))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ (- 1) (/ (cbrt (- h1 h0)) (+ h1 h0))) (/ 1 (/ (sqrt (- h1 h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (sqrt (- h1 h0)) (cbrt (+ h1 h0)))) (/ 1 (/ (sqrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ (- 1) (/ (sqrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ 1 (/ (sqrt (- h1 h0)) 1)) (/ (- 1) (/ (sqrt (- h1 h0)) (+ h1 h0))) (/ 1 (/ (sqrt (- h1 h0)) 1)) (/ (- 1) (/ (sqrt (- h1 h0)) (+ h1 h0))) (/ 1 (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (- h1 h0) (cbrt (+ h1 h0)))) (/ 1 (/ 1 (sqrt (+ h1 h0)))) (/ (- 1) (/ (- h1 h0) (sqrt (+ h1 h0)))) (/ 1 (/ 1 1)) (/ (- 1) (/ (- h1 h0) (+ h1 h0))) (/ 1 (/ 1 1)) (/ (- 1) (/ (- h1 h0) (+ h1 h0))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (- (sqrt h1) (sqrt h0)) (cbrt (+ h1 h0)))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))) (/ (- 1) (/ (- (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ (- 1) (/ (- (sqrt h1) (sqrt h0)) (+ h1 h0))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ (- 1) (/ (- (sqrt h1) (sqrt h0)) (+ h1 h0))) (/ 1 (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (- h1 h0) (cbrt (+ h1 h0)))) (/ 1 (/ 1 (sqrt (+ h1 h0)))) (/ (- 1) (/ (- h1 h0) (sqrt (+ h1 h0)))) (/ 1 (/ 1 1)) (/ (- 1) (/ (- h1 h0) (+ h1 h0))) (/ 1 (/ 1 1)) (/ (- 1) (/ (- h1 h0) (+ h1 h0))) (/ 1 1) (/ (- 1) (/ (- h1 h0) (+ h1 h0))) (/ 1 (- h1 h0)) (/ (- 1) (/ 1 (+ h1 h0))) (/ 1 (/ (- h1 h0) (+ (pow h1 3) (pow h0 3)))) (/ (- 1) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (/ 1 (/ (- h1 h0) (- (* h1 h1) (* h0 h0)))) (/ (- 1) (- h1 h0)) (/ 1 (/ (- h1 h0) (+ h1 h0))) (/ (/ (- h1 h0) (+ h1 h0)) (- 1)) (/ 1 (/ (- h1 h0) (+ h1 h0))) (/ (- 1) (* (cbrt (/ (- h1 h0) (+ h1 h0))) (cbrt (/ (- h1 h0) (+ h1 h0))))) (/ (- 1) (sqrt (/ (- h1 h0) (+ h1 h0)))) (/ (- 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (sqrt (+ h1 h0)))) (/ (- 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ (- 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ (- 1) (/ (sqrt (- h1 h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (sqrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ (- 1) (/ (sqrt (- h1 h0)) 1)) (/ (- 1) (/ (sqrt (- h1 h0)) 1)) (/ (- 1) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ 1 (sqrt (+ h1 h0)))) (/ (- 1) (/ 1 1)) (/ (- 1) (/ 1 1)) (/ (- 1) (/ (+ (sqrt h1) (sqrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (+ (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))) (/ (- 1) (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ (- 1) (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ (- 1) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ 1 (sqrt (+ h1 h0)))) (/ (- 1) (/ 1 1)) (/ (- 1) (/ 1 1)) (/ (- 1) 1) (/ (- 1) (- h1 h0)) (/ (- 1) (/ (- h1 h0) (+ (pow h1 3) (pow h0 3)))) (/ (- 1) (/ (- h1 h0) (- (* h1 h1) (* h0 h0)))) (/ (/ (- h1 h0) (+ h1 h0)) (cbrt (- 1))) (/ (/ (- h1 h0) (+ h1 h0)) (sqrt (- 1))) (/ (/ (- h1 h0) (+ h1 h0)) (- 1)) (/ (/ (- h1 h0) (+ h1 h0)) 1) (/ (/ (- h1 h0) (+ h1 h0)) (cbrt 1)) (/ (/ (- h1 h0) (+ h1 h0)) (sqrt 1)) (/ (/ (- h1 h0) (+ h1 h0)) 1) (/ (/ (- h1 h0) (+ h1 h0)) (- (cbrt 1))) (/ (/ (- h1 h0) (+ h1 h0)) (- (sqrt 1))) (/ (/ (- h1 h0) (+ h1 h0)) (- 1)) (/ (- 1) (- h1 h0)) -1 1 1 1 -1 -1 0.933 * * [simplify]: iteration 0 : 1026 enodes (cost 3956 ) 0.951 * * [simplify]: iteration 1 : 5001 enodes (cost 3561 ) 0.966 * * * [progress]: adding candidates to table 1.411 * * [progress]: iteration 3 / 4 1.411 * * * [progress]: picking best candidate 1.416 * * * * [pick]: Picked # 1.416 * * * [progress]: localizing error 1.424 * * * [progress]: generating rewritten candidates 1.424 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.445 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.457 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.672 * * * [progress]: generating series expansions 1.672 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.673 * [backup-simplify]: Simplify (/ (sqrt (- f n)) (+ f n)) into (* (/ 1 (+ n f)) (sqrt (- f n))) 1.673 * [approximate]: Taking taylor expansion of (* (/ 1 (+ n f)) (sqrt (- f n))) in (f n) around 0 1.673 * [taylor]: Taking taylor expansion of (* (/ 1 (+ n f)) (sqrt (- f n))) in n 1.673 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in n 1.673 * [taylor]: Taking taylor expansion of (+ n f) in n 1.673 * [taylor]: Taking taylor expansion of n in n 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [taylor]: Taking taylor expansion of f in n 1.673 * [backup-simplify]: Simplify f into f 1.673 * [backup-simplify]: Simplify (+ 0 f) into f 1.673 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.673 * [taylor]: Taking taylor expansion of (sqrt (- f n)) in n 1.673 * [taylor]: Taking taylor expansion of (- f n) in n 1.673 * [taylor]: Taking taylor expansion of f in n 1.673 * [backup-simplify]: Simplify f into f 1.673 * [taylor]: Taking taylor expansion of n in n 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [backup-simplify]: Simplify (- 0) into 0 1.674 * [backup-simplify]: Simplify (+ f 0) into f 1.674 * [backup-simplify]: Simplify (sqrt f) into (sqrt f) 1.674 * [backup-simplify]: Simplify (- 1) into -1 1.674 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.674 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt f))) into (* -1/2 (sqrt (/ 1 f))) 1.674 * [taylor]: Taking taylor expansion of (* (/ 1 (+ n f)) (sqrt (- f n))) in f 1.674 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in f 1.674 * [taylor]: Taking taylor expansion of (+ n f) in f 1.674 * [taylor]: Taking taylor expansion of n in f 1.674 * [backup-simplify]: Simplify n into n 1.674 * [taylor]: Taking taylor expansion of f in f 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 1 into 1 1.674 * [backup-simplify]: Simplify (+ n 0) into n 1.674 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.674 * [taylor]: Taking taylor expansion of (sqrt (- f n)) in f 1.674 * [taylor]: Taking taylor expansion of (- f n) in f 1.674 * [taylor]: Taking taylor expansion of f in f 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 1 into 1 1.675 * [taylor]: Taking taylor expansion of n in f 1.675 * [backup-simplify]: Simplify n into n 1.675 * [backup-simplify]: Simplify (- n) into (- n) 1.675 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.675 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 1.675 * [backup-simplify]: Simplify (- 0) into 0 1.675 * [backup-simplify]: Simplify (+ 1 0) into 1 1.675 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- n)))) into (/ 1/2 (sqrt (- n))) 1.675 * [taylor]: Taking taylor expansion of (* (/ 1 (+ n f)) (sqrt (- f n))) in f 1.675 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in f 1.675 * [taylor]: Taking taylor expansion of (+ n f) in f 1.675 * [taylor]: Taking taylor expansion of n in f 1.675 * [backup-simplify]: Simplify n into n 1.675 * [taylor]: Taking taylor expansion of f in f 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify (+ n 0) into n 1.675 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.675 * [taylor]: Taking taylor expansion of (sqrt (- f n)) in f 1.675 * [taylor]: Taking taylor expansion of (- f n) in f 1.675 * [taylor]: Taking taylor expansion of f in f 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.675 * [taylor]: Taking taylor expansion of n in f 1.675 * [backup-simplify]: Simplify n into n 1.676 * [backup-simplify]: Simplify (- n) into (- n) 1.676 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.676 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 1.676 * [backup-simplify]: Simplify (- 0) into 0 1.676 * [backup-simplify]: Simplify (+ 1 0) into 1 1.676 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- n)))) into (/ 1/2 (sqrt (- n))) 1.676 * [backup-simplify]: Simplify (* (/ 1 n) (sqrt (- n))) into (/ (sqrt (- n)) n) 1.676 * [taylor]: Taking taylor expansion of (/ (sqrt (- n)) n) in n 1.676 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 1.676 * [taylor]: Taking taylor expansion of (- n) in n 1.676 * [taylor]: Taking taylor expansion of n in n 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (- 0) into 0 1.677 * [backup-simplify]: Simplify (- 1) into -1 1.677 * [backup-simplify]: Simplify (sqrt 0) into 0 1.677 * [backup-simplify]: Simplify (- 1) into -1 1.678 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.678 * [taylor]: Taking taylor expansion of n in n 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.679 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 1.679 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.679 * [backup-simplify]: Simplify (+ 0 1) into 1 1.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 1.679 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1/2 (sqrt (- n)))) (* (- (/ 1 (pow n 2))) (sqrt (- n)))) into (- (* 1/2 (/ 1 (* (sqrt (- n)) n))) (/ (sqrt (- n)) (pow n 2))) 1.679 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* (sqrt (- n)) n))) (/ (sqrt (- n)) (pow n 2))) in n 1.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (sqrt (- n)) n))) in n 1.679 * [taylor]: Taking taylor expansion of 1/2 in n 1.679 * [backup-simplify]: Simplify 1/2 into 1/2 1.679 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (- n)) n)) in n 1.679 * [taylor]: Taking taylor expansion of (* (sqrt (- n)) n) in n 1.680 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 1.680 * [taylor]: Taking taylor expansion of (- n) in n 1.680 * [taylor]: Taking taylor expansion of n in n 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify (- 0) into 0 1.680 * [backup-simplify]: Simplify (- 1) into -1 1.680 * [backup-simplify]: Simplify (sqrt 0) into 0 1.680 * [backup-simplify]: Simplify (- 1) into -1 1.681 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.681 * [taylor]: Taking taylor expansion of n in n 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [backup-simplify]: Simplify (* 0 0) into 0 1.682 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 0)) into 0 1.682 * [backup-simplify]: Simplify (- 0) into 0 1.684 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 0))) into (- +nan.0) 1.686 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 1.686 * [taylor]: Taking taylor expansion of (/ (sqrt (- n)) (pow n 2)) in n 1.686 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 1.686 * [taylor]: Taking taylor expansion of (- n) in n 1.686 * [taylor]: Taking taylor expansion of n in n 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.687 * [backup-simplify]: Simplify (- 0) into 0 1.687 * [backup-simplify]: Simplify (- 1) into -1 1.687 * [backup-simplify]: Simplify (sqrt 0) into 0 1.687 * [backup-simplify]: Simplify (- 1) into -1 1.688 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.688 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.688 * [taylor]: Taking taylor expansion of n in n 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify (* 1 1) into 1 1.688 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 1.689 * [backup-simplify]: Simplify (- 0) into 0 1.691 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.691 * [backup-simplify]: Simplify (- 0) into 0 1.694 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 0))))) into (- +nan.0) 1.699 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 0)))) into (- +nan.0) 1.700 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.703 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.705 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 +nan.0))) into (- +nan.0) 1.705 * [backup-simplify]: Simplify (- 0) into 0 1.707 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.708 * [backup-simplify]: Simplify (- (/ +nan.0 1) (+ (* +nan.0 (/ 0 1)))) into (- +nan.0) 1.709 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 1.709 * [backup-simplify]: Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0) 1.710 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.710 * [backup-simplify]: Simplify (- 0) into 0 1.712 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.713 * [backup-simplify]: Simplify (- (/ +nan.0 1) (+ (* +nan.0 (/ 0 1)))) into (- +nan.0) 1.713 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.714 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* n 1)) (+ (* (- +nan.0) (* 1 f)) +nan.0)) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 1.714 * [backup-simplify]: Simplify (/ (sqrt (- (/ 1 f) (/ 1 n))) (+ (/ 1 f) (/ 1 n))) into (* (sqrt (- (/ 1 f) (/ 1 n))) (/ 1 (+ (/ 1 f) (/ 1 n)))) 1.714 * [approximate]: Taking taylor expansion of (* (sqrt (- (/ 1 f) (/ 1 n))) (/ 1 (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 1.714 * [taylor]: Taking taylor expansion of (* (sqrt (- (/ 1 f) (/ 1 n))) (/ 1 (+ (/ 1 f) (/ 1 n)))) in n 1.714 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in n 1.714 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.714 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.714 * [taylor]: Taking taylor expansion of f in n 1.714 * [backup-simplify]: Simplify f into f 1.714 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.714 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.714 * [taylor]: Taking taylor expansion of n in n 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 1 into 1 1.715 * [backup-simplify]: Simplify (/ 1 1) into 1 1.715 * [backup-simplify]: Simplify (- 1) into -1 1.715 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.715 * [backup-simplify]: Simplify (sqrt 0) into 0 1.716 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.716 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in n 1.716 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.716 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.716 * [taylor]: Taking taylor expansion of f in n 1.716 * [backup-simplify]: Simplify f into f 1.716 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.716 * [taylor]: Taking taylor expansion of (/ 1 n) in n 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 1.716 * [backup-simplify]: Simplify (/ 1 1) into 1 1.717 * [backup-simplify]: Simplify (+ 0 1) into 1 1.717 * [backup-simplify]: Simplify (/ 1 1) into 1 1.717 * [taylor]: Taking taylor expansion of (* (sqrt (- (/ 1 f) (/ 1 n))) (/ 1 (+ (/ 1 f) (/ 1 n)))) in f 1.717 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in f 1.717 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.717 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.717 * [taylor]: Taking taylor expansion of f in f 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [backup-simplify]: Simplify (/ 1 1) into 1 1.717 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.717 * [taylor]: Taking taylor expansion of n in f 1.717 * [backup-simplify]: Simplify n into n 1.717 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.718 * [backup-simplify]: Simplify (+ 1 0) into 1 1.718 * [backup-simplify]: Simplify (sqrt 0) into 0 1.718 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.718 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 1.718 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.719 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.719 * [taylor]: Taking taylor expansion of f in f 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 1 into 1 1.719 * [backup-simplify]: Simplify (/ 1 1) into 1 1.719 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.719 * [taylor]: Taking taylor expansion of n in f 1.719 * [backup-simplify]: Simplify n into n 1.719 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.719 * [backup-simplify]: Simplify (+ 1 0) into 1 1.719 * [backup-simplify]: Simplify (/ 1 1) into 1 1.719 * [taylor]: Taking taylor expansion of (* (sqrt (- (/ 1 f) (/ 1 n))) (/ 1 (+ (/ 1 f) (/ 1 n)))) in f 1.719 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in f 1.719 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.719 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.719 * [taylor]: Taking taylor expansion of f in f 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 1 into 1 1.720 * [backup-simplify]: Simplify (/ 1 1) into 1 1.720 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.720 * [taylor]: Taking taylor expansion of n in f 1.720 * [backup-simplify]: Simplify n into n 1.720 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.720 * [backup-simplify]: Simplify (+ 1 0) into 1 1.720 * [backup-simplify]: Simplify (sqrt 0) into 0 1.727 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.727 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 1.727 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.727 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.727 * [taylor]: Taking taylor expansion of f in f 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 1 into 1 1.728 * [backup-simplify]: Simplify (/ 1 1) into 1 1.728 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.728 * [taylor]: Taking taylor expansion of n in f 1.728 * [backup-simplify]: Simplify n into n 1.728 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.728 * [backup-simplify]: Simplify (+ 1 0) into 1 1.728 * [backup-simplify]: Simplify (/ 1 1) into 1 1.728 * [backup-simplify]: Simplify (* 0 1) into 0 1.728 * [taylor]: Taking taylor expansion of 0 in n 1.728 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.729 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 1.729 * [backup-simplify]: Simplify (+ (* 0 (- (/ 1 n))) (* +nan.0 1)) into (- +nan.0) 1.729 * [taylor]: Taking taylor expansion of (- +nan.0) in n 1.729 * [taylor]: Taking taylor expansion of +nan.0 in n 1.729 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.730 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.730 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.731 * [backup-simplify]: Simplify (+ 0 0) into 0 1.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 1.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.732 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.732 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.732 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 1.733 * [backup-simplify]: Simplify (+ (* 0 (/ 1 (pow n 2))) (+ (* +nan.0 (- (/ 1 n))) (* (* +nan.0 (+ (/ 1 n) (- +nan.0))) 1))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 1.733 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 1.733 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 1.733 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 1.733 * [taylor]: Taking taylor expansion of +nan.0 in n 1.733 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.733 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.733 * [taylor]: Taking taylor expansion of n in n 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 1 into 1 1.733 * [backup-simplify]: Simplify (/ 1 1) into 1 1.733 * [taylor]: Taking taylor expansion of (- +nan.0) in n 1.733 * [taylor]: Taking taylor expansion of +nan.0 in n 1.733 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.734 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.734 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.735 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.735 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 1.736 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.736 * [backup-simplify]: Simplify (- 0) into 0 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.737 * [backup-simplify]: Simplify (+ 0 0) into 0 1.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 1.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.738 * [backup-simplify]: Simplify (- 0) into 0 1.738 * [backup-simplify]: Simplify (+ 0 0) into 0 1.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 1.740 * [backup-simplify]: Simplify (+ (* 0 (- (/ 1 (pow n 3)))) (+ (* +nan.0 (/ 1 (pow n 2))) (+ (* (* +nan.0 (+ (/ 1 n) (- +nan.0))) (- (/ 1 n))) (* (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 1)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 1.740 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 1.740 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 1.740 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 1.740 * [taylor]: Taking taylor expansion of +nan.0 in n 1.740 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.740 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.740 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.740 * [taylor]: Taking taylor expansion of n in n 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify 1 into 1 1.740 * [backup-simplify]: Simplify (* 1 1) into 1 1.741 * [backup-simplify]: Simplify (/ 1 1) into 1 1.741 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 1.741 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 1.741 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 1.741 * [taylor]: Taking taylor expansion of +nan.0 in n 1.741 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.741 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.741 * [taylor]: Taking taylor expansion of n in n 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify 1 into 1 1.741 * [backup-simplify]: Simplify (/ 1 1) into 1 1.741 * [taylor]: Taking taylor expansion of (- +nan.0) in n 1.741 * [taylor]: Taking taylor expansion of +nan.0 in n 1.741 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.743 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 1.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.744 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.745 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.745 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 1.746 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.746 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 1.746 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.747 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 f)) 3)) (+ (* (- +nan.0) (pow (* 1 (/ 1 f)) 2)) (* (- +nan.0) (* 1 (/ 1 f))))) into (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 3))) (- (* +nan.0 (/ 1 (pow f 2)))))))) 1.748 * [backup-simplify]: Simplify (/ (sqrt (- (/ 1 (- f)) (/ 1 (- n)))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (* (/ 1 (+ (/ 1 f) (/ 1 n))) (sqrt (- (/ 1 n) (/ 1 f))))) 1.748 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 (+ (/ 1 f) (/ 1 n))) (sqrt (- (/ 1 n) (/ 1 f))))) in (f n) around 0 1.748 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 (+ (/ 1 f) (/ 1 n))) (sqrt (- (/ 1 n) (/ 1 f))))) in n 1.748 * [taylor]: Taking taylor expansion of -1 in n 1.748 * [backup-simplify]: Simplify -1 into -1 1.748 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 f) (/ 1 n))) (sqrt (- (/ 1 n) (/ 1 f)))) in n 1.748 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in n 1.748 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.748 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.748 * [taylor]: Taking taylor expansion of f in n 1.748 * [backup-simplify]: Simplify f into f 1.748 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.748 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.748 * [taylor]: Taking taylor expansion of n in n 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (/ 1 1) into 1 1.748 * [backup-simplify]: Simplify (+ 0 1) into 1 1.749 * [backup-simplify]: Simplify (/ 1 1) into 1 1.749 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in n 1.749 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.749 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.749 * [taylor]: Taking taylor expansion of n in n 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [backup-simplify]: Simplify (/ 1 1) into 1 1.749 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.749 * [taylor]: Taking taylor expansion of f in n 1.749 * [backup-simplify]: Simplify f into f 1.749 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.749 * [backup-simplify]: Simplify (+ 1 0) into 1 1.749 * [backup-simplify]: Simplify (sqrt 0) into 0 1.750 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.750 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 (+ (/ 1 f) (/ 1 n))) (sqrt (- (/ 1 n) (/ 1 f))))) in f 1.750 * [taylor]: Taking taylor expansion of -1 in f 1.750 * [backup-simplify]: Simplify -1 into -1 1.750 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 f) (/ 1 n))) (sqrt (- (/ 1 n) (/ 1 f)))) in f 1.750 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 1.750 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.750 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.750 * [taylor]: Taking taylor expansion of f in f 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (/ 1 1) into 1 1.751 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.751 * [taylor]: Taking taylor expansion of n in f 1.751 * [backup-simplify]: Simplify n into n 1.751 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.751 * [backup-simplify]: Simplify (+ 1 0) into 1 1.751 * [backup-simplify]: Simplify (/ 1 1) into 1 1.751 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in f 1.751 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.751 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.751 * [taylor]: Taking taylor expansion of n in f 1.751 * [backup-simplify]: Simplify n into n 1.751 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.751 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.751 * [taylor]: Taking taylor expansion of f in f 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (/ 1 1) into 1 1.752 * [backup-simplify]: Simplify (- 1) into -1 1.752 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.752 * [backup-simplify]: Simplify (sqrt 0) into 0 1.753 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.753 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 (+ (/ 1 f) (/ 1 n))) (sqrt (- (/ 1 n) (/ 1 f))))) in f 1.753 * [taylor]: Taking taylor expansion of -1 in f 1.753 * [backup-simplify]: Simplify -1 into -1 1.753 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 f) (/ 1 n))) (sqrt (- (/ 1 n) (/ 1 f)))) in f 1.753 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 1.753 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.753 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.753 * [taylor]: Taking taylor expansion of f in f 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.753 * [backup-simplify]: Simplify (/ 1 1) into 1 1.753 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.753 * [taylor]: Taking taylor expansion of n in f 1.753 * [backup-simplify]: Simplify n into n 1.753 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.754 * [backup-simplify]: Simplify (+ 1 0) into 1 1.754 * [backup-simplify]: Simplify (/ 1 1) into 1 1.754 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in f 1.754 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.754 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.754 * [taylor]: Taking taylor expansion of n in f 1.754 * [backup-simplify]: Simplify n into n 1.754 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.754 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.754 * [taylor]: Taking taylor expansion of f in f 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (/ 1 1) into 1 1.754 * [backup-simplify]: Simplify (- 1) into -1 1.755 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.755 * [backup-simplify]: Simplify (sqrt 0) into 0 1.756 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.756 * [backup-simplify]: Simplify (* 1 0) into 0 1.756 * [backup-simplify]: Simplify (* -1 0) into 0 1.756 * [taylor]: Taking taylor expansion of 0 in n 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.757 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 1.757 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* (- (/ 1 n)) 0)) into (- +nan.0) 1.758 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 0)) into (- +nan.0) 1.758 * [taylor]: Taking taylor expansion of (- +nan.0) in n 1.758 * [taylor]: Taking taylor expansion of +nan.0 in n 1.758 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.759 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.759 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.759 * [backup-simplify]: Simplify (- 0) into 0 1.760 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.760 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 1.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 1.762 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (- (/ 1 n) +nan.0))) (+ (* (- (/ 1 n)) +nan.0) (* (/ 1 (pow n 2)) 0))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 1.763 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 1.763 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 1.763 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 1.763 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 1.763 * [taylor]: Taking taylor expansion of +nan.0 in n 1.763 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.763 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.763 * [taylor]: Taking taylor expansion of n in n 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify (/ 1 1) into 1 1.763 * [taylor]: Taking taylor expansion of (- +nan.0) in n 1.763 * [taylor]: Taking taylor expansion of +nan.0 in n 1.763 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.764 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.764 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.765 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.765 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 1.765 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.765 * [backup-simplify]: Simplify (- 0) into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (- 0) into 0 1.767 * [backup-simplify]: Simplify (+ 0 0) into 0 1.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 1.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.768 * [backup-simplify]: Simplify (+ 0 0) into 0 1.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 1.769 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) (+ (* (- (/ 1 n)) (* +nan.0 (- (/ 1 n) +nan.0))) (+ (* (/ 1 (pow n 2)) +nan.0) (* (- (/ 1 (pow n 3))) 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 1.770 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 1.770 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 1.771 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 1.771 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 1.771 * [taylor]: Taking taylor expansion of +nan.0 in n 1.771 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.771 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.771 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.771 * [taylor]: Taking taylor expansion of n in n 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 1 into 1 1.771 * [backup-simplify]: Simplify (* 1 1) into 1 1.771 * [backup-simplify]: Simplify (/ 1 1) into 1 1.771 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 1.771 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 1.771 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 1.771 * [taylor]: Taking taylor expansion of +nan.0 in n 1.771 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.771 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.771 * [taylor]: Taking taylor expansion of n in n 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 1 into 1 1.771 * [backup-simplify]: Simplify (/ 1 1) into 1 1.771 * [taylor]: Taking taylor expansion of (- +nan.0) in n 1.771 * [taylor]: Taking taylor expansion of +nan.0 in n 1.771 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.774 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 1.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.774 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.775 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.775 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.776 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 1.776 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.777 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 1.777 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.778 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- f))) 3)) (+ (* (- +nan.0) (pow (* 1 (/ 1 (- f))) 2)) (* (- +nan.0) (* 1 (/ 1 (- f)))))) into (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 3))) (- (* +nan.0 (/ 1 (pow f 2)))))))) 1.778 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.778 * [backup-simplify]: Simplify (/ -1 (sqrt (- f n))) into (* -1 (sqrt (/ 1 (- f n)))) 1.778 * [approximate]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- f n)))) in (f n) around 0 1.778 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- f n)))) in n 1.778 * [taylor]: Taking taylor expansion of -1 in n 1.778 * [backup-simplify]: Simplify -1 into -1 1.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- f n))) in n 1.778 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in n 1.778 * [taylor]: Taking taylor expansion of (- f n) in n 1.778 * [taylor]: Taking taylor expansion of f in n 1.778 * [backup-simplify]: Simplify f into f 1.778 * [taylor]: Taking taylor expansion of n in n 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (- 0) into 0 1.778 * [backup-simplify]: Simplify (+ f 0) into f 1.778 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.778 * [backup-simplify]: Simplify (sqrt (/ 1 f)) into (sqrt (/ 1 f)) 1.779 * [backup-simplify]: Simplify (- 1) into -1 1.779 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ -1 f)))) into (/ 1 (pow f 2)) 1.779 * [backup-simplify]: Simplify (/ (/ 1 (pow f 2)) (* 2 (sqrt (/ 1 f)))) into (* 1/2 (sqrt (/ 1 (pow f 3)))) 1.779 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- f n)))) in f 1.779 * [taylor]: Taking taylor expansion of -1 in f 1.779 * [backup-simplify]: Simplify -1 into -1 1.779 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- f n))) in f 1.779 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 1.779 * [taylor]: Taking taylor expansion of (- f n) in f 1.779 * [taylor]: Taking taylor expansion of f in f 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [taylor]: Taking taylor expansion of n in f 1.779 * [backup-simplify]: Simplify n into n 1.780 * [backup-simplify]: Simplify (- n) into (- n) 1.780 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.780 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 1.780 * [backup-simplify]: Simplify (sqrt (/ -1 n)) into (sqrt (/ -1 n)) 1.780 * [backup-simplify]: Simplify (- 0) into 0 1.780 * [backup-simplify]: Simplify (+ 1 0) into 1 1.780 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 1.780 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2))) (* 2 (sqrt (/ -1 n)))) into (/ -1/2 (* (pow n 2) (sqrt (/ -1 n)))) 1.780 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- f n)))) in f 1.780 * [taylor]: Taking taylor expansion of -1 in f 1.780 * [backup-simplify]: Simplify -1 into -1 1.780 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- f n))) in f 1.780 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 1.781 * [taylor]: Taking taylor expansion of (- f n) in f 1.781 * [taylor]: Taking taylor expansion of f in f 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 1 into 1 1.781 * [taylor]: Taking taylor expansion of n in f 1.781 * [backup-simplify]: Simplify n into n 1.781 * [backup-simplify]: Simplify (- n) into (- n) 1.781 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.781 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 1.781 * [backup-simplify]: Simplify (sqrt (/ -1 n)) into (sqrt (/ -1 n)) 1.781 * [backup-simplify]: Simplify (- 0) into 0 1.781 * [backup-simplify]: Simplify (+ 1 0) into 1 1.781 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 1.781 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2))) (* 2 (sqrt (/ -1 n)))) into (/ -1/2 (* (pow n 2) (sqrt (/ -1 n)))) 1.782 * [backup-simplify]: Simplify (* -1 (sqrt (/ -1 n))) into (* -1 (sqrt (/ -1 n))) 1.782 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ -1 n))) in n 1.782 * [taylor]: Taking taylor expansion of -1 in n 1.782 * [backup-simplify]: Simplify -1 into -1 1.782 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.782 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.782 * [taylor]: Taking taylor expansion of -1 in n 1.782 * [backup-simplify]: Simplify -1 into -1 1.782 * [taylor]: Taking taylor expansion of n in n 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 1 into 1 1.782 * [backup-simplify]: Simplify (/ -1 1) into -1 1.782 * [backup-simplify]: Simplify (sqrt 0) into 0 1.783 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.784 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (* 0 0)) into (- +nan.0) 1.784 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.784 * [backup-simplify]: Simplify (+ (* -1 (/ -1/2 (* (pow n 2) (sqrt (/ -1 n))))) (* 0 (sqrt (/ -1 n)))) into (* 1/2 (/ 1 (* (pow n 2) (sqrt (/ -1 n))))) 1.784 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow n 2) (sqrt (/ -1 n))))) in n 1.784 * [taylor]: Taking taylor expansion of 1/2 in n 1.784 * [backup-simplify]: Simplify 1/2 into 1/2 1.784 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 2) (sqrt (/ -1 n)))) in n 1.784 * [taylor]: Taking taylor expansion of (* (pow n 2) (sqrt (/ -1 n))) in n 1.784 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.784 * [taylor]: Taking taylor expansion of n in n 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.784 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.784 * [taylor]: Taking taylor expansion of -1 in n 1.784 * [backup-simplify]: Simplify -1 into -1 1.784 * [taylor]: Taking taylor expansion of n in n 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify (/ -1 1) into -1 1.785 * [backup-simplify]: Simplify (sqrt 0) into 0 1.786 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.786 * [backup-simplify]: Simplify (* 1 1) into 1 1.786 * [backup-simplify]: Simplify (* 1 0) into 0 1.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.787 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 0 0)) into (- +nan.0) 1.788 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 1.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.791 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.795 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.796 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.798 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.801 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.802 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 +nan.0))) into (- +nan.0) 1.802 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.804 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.806 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.806 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.806 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* n 1)) (+ (* (- +nan.0) (* 1 f)) (- +nan.0))) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 1.807 * [backup-simplify]: Simplify (/ -1 (sqrt (- (/ 1 f) (/ 1 n)))) into (* -1 (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) 1.807 * [approximate]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in (f n) around 0 1.807 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in n 1.807 * [taylor]: Taking taylor expansion of -1 in n 1.807 * [backup-simplify]: Simplify -1 into -1 1.807 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 f) (/ 1 n)))) in n 1.807 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in n 1.807 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.807 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.807 * [taylor]: Taking taylor expansion of f in n 1.807 * [backup-simplify]: Simplify f into f 1.807 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.807 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.807 * [taylor]: Taking taylor expansion of n in n 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 1 into 1 1.807 * [backup-simplify]: Simplify (/ 1 1) into 1 1.807 * [backup-simplify]: Simplify (- 1) into -1 1.808 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.808 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.808 * [backup-simplify]: Simplify (sqrt 0) into 0 1.809 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.809 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in f 1.809 * [taylor]: Taking taylor expansion of -1 in f 1.809 * [backup-simplify]: Simplify -1 into -1 1.809 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 f) (/ 1 n)))) in f 1.809 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 1.809 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.809 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.809 * [taylor]: Taking taylor expansion of f in f 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 1 into 1 1.809 * [backup-simplify]: Simplify (/ 1 1) into 1 1.809 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.809 * [taylor]: Taking taylor expansion of n in f 1.809 * [backup-simplify]: Simplify n into n 1.809 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.810 * [backup-simplify]: Simplify (+ 1 0) into 1 1.810 * [backup-simplify]: Simplify (/ 1 1) into 1 1.810 * [backup-simplify]: Simplify (sqrt 0) into 0 1.811 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.811 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in f 1.811 * [taylor]: Taking taylor expansion of -1 in f 1.811 * [backup-simplify]: Simplify -1 into -1 1.811 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 f) (/ 1 n)))) in f 1.811 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 1.811 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.811 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.811 * [taylor]: Taking taylor expansion of f in f 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 1 into 1 1.811 * [backup-simplify]: Simplify (/ 1 1) into 1 1.811 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.811 * [taylor]: Taking taylor expansion of n in f 1.811 * [backup-simplify]: Simplify n into n 1.811 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.811 * [backup-simplify]: Simplify (+ 1 0) into 1 1.812 * [backup-simplify]: Simplify (/ 1 1) into 1 1.812 * [backup-simplify]: Simplify (sqrt 0) into 0 1.813 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.813 * [backup-simplify]: Simplify (* -1 0) into 0 1.813 * [taylor]: Taking taylor expansion of 0 in n 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (* 0 0)) into (- +nan.0) 1.814 * [taylor]: Taking taylor expansion of (- +nan.0) in n 1.814 * [taylor]: Taking taylor expansion of +nan.0 in n 1.814 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.814 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.814 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.814 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.815 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.815 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 1.816 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 1.819 * [backup-simplify]: Simplify (+ (* -1 (* +nan.0 (- (/ 1 n) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 1.819 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 1.819 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 1.819 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 1.819 * [taylor]: Taking taylor expansion of +nan.0 in n 1.819 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.819 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.819 * [taylor]: Taking taylor expansion of n in n 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [backup-simplify]: Simplify (/ 1 1) into 1 1.819 * [taylor]: Taking taylor expansion of (- +nan.0) in n 1.819 * [taylor]: Taking taylor expansion of +nan.0 in n 1.819 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.820 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.820 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.821 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.821 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 1.821 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.822 * [backup-simplify]: Simplify (- 0) into 0 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.822 * [backup-simplify]: Simplify (- 0) into 0 1.823 * [backup-simplify]: Simplify (+ 0 0) into 0 1.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 1.824 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2)) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (/ 1 (pow n 2)) (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) 1.824 * [backup-simplify]: Simplify (+ (* -1 (* +nan.0 (- (/ 1 (pow n 2)) (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 n) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 1.824 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 1.824 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 1.825 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 1.825 * [taylor]: Taking taylor expansion of +nan.0 in n 1.825 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.825 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.825 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.825 * [taylor]: Taking taylor expansion of n in n 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.825 * [backup-simplify]: Simplify (* 1 1) into 1 1.825 * [backup-simplify]: Simplify (/ 1 1) into 1 1.825 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 1.825 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 1.825 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 1.825 * [taylor]: Taking taylor expansion of +nan.0 in n 1.825 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.825 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.825 * [taylor]: Taking taylor expansion of n in n 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.825 * [backup-simplify]: Simplify (/ 1 1) into 1 1.825 * [taylor]: Taking taylor expansion of (- +nan.0) in n 1.825 * [taylor]: Taking taylor expansion of +nan.0 in n 1.825 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.828 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 1.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.828 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.829 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.829 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.830 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 1.830 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.831 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 1.831 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.832 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 f)) 3)) (+ (* (- +nan.0) (pow (* 1 (/ 1 f)) 2)) (* (- +nan.0) (* 1 (/ 1 f))))) into (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 3))) (- (* +nan.0 (/ 1 (pow f 2)))))))) 1.832 * [backup-simplify]: Simplify (/ -1 (sqrt (- (/ 1 (- f)) (/ 1 (- n))))) into (* -1 (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) 1.832 * [approximate]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in (f n) around 0 1.832 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in n 1.832 * [taylor]: Taking taylor expansion of -1 in n 1.832 * [backup-simplify]: Simplify -1 into -1 1.832 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))) in n 1.832 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in n 1.832 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.832 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.832 * [taylor]: Taking taylor expansion of n in n 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 1 into 1 1.832 * [backup-simplify]: Simplify (/ 1 1) into 1 1.832 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.832 * [taylor]: Taking taylor expansion of f in n 1.833 * [backup-simplify]: Simplify f into f 1.833 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.833 * [backup-simplify]: Simplify (+ 1 0) into 1 1.833 * [backup-simplify]: Simplify (/ 1 1) into 1 1.833 * [backup-simplify]: Simplify (sqrt 0) into 0 1.834 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.834 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in f 1.834 * [taylor]: Taking taylor expansion of -1 in f 1.834 * [backup-simplify]: Simplify -1 into -1 1.834 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))) in f 1.834 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 1.834 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.834 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.834 * [taylor]: Taking taylor expansion of n in f 1.834 * [backup-simplify]: Simplify n into n 1.834 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.834 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.834 * [taylor]: Taking taylor expansion of f in f 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify 1 into 1 1.834 * [backup-simplify]: Simplify (/ 1 1) into 1 1.835 * [backup-simplify]: Simplify (- 1) into -1 1.835 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.835 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.835 * [backup-simplify]: Simplify (sqrt 0) into 0 1.836 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.836 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in f 1.836 * [taylor]: Taking taylor expansion of -1 in f 1.836 * [backup-simplify]: Simplify -1 into -1 1.836 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))) in f 1.836 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 1.836 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.837 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.837 * [taylor]: Taking taylor expansion of n in f 1.837 * [backup-simplify]: Simplify n into n 1.837 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.837 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.837 * [taylor]: Taking taylor expansion of f in f 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (/ 1 1) into 1 1.837 * [backup-simplify]: Simplify (- 1) into -1 1.837 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.838 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.838 * [backup-simplify]: Simplify (sqrt 0) into 0 1.839 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.839 * [backup-simplify]: Simplify (* -1 0) into 0 1.839 * [taylor]: Taking taylor expansion of 0 in n 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (* 0 0)) into (- +nan.0) 1.840 * [taylor]: Taking taylor expansion of (- +nan.0) in n 1.840 * [taylor]: Taking taylor expansion of +nan.0 in n 1.840 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.840 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.840 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.840 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.841 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.841 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 n) -1)))) into (- (/ 1 n)) 1.842 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 1.843 * [backup-simplify]: Simplify (+ (* -1 (* +nan.0 (+ (/ 1 n) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 1.843 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 1.843 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 1.843 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 1.843 * [taylor]: Taking taylor expansion of +nan.0 in n 1.843 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.843 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.843 * [taylor]: Taking taylor expansion of n in n 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (/ 1 1) into 1 1.843 * [taylor]: Taking taylor expansion of (- +nan.0) in n 1.843 * [taylor]: Taking taylor expansion of +nan.0 in n 1.843 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.844 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.844 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.844 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.845 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 1.845 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.845 * [backup-simplify]: Simplify (- 0) into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.846 * [backup-simplify]: Simplify (- 0) into 0 1.846 * [backup-simplify]: Simplify (+ 0 0) into 0 1.847 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 n)) (/ (/ 1 n) -1)))) into (- (/ 1 (pow n 2))) 1.848 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow n 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (/ 1 (pow n 2)) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 1.849 * [backup-simplify]: Simplify (+ (* -1 (* +nan.0 (+ (/ 1 (pow n 2)) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))))) (+ (* 0 (* +nan.0 (+ (/ 1 n) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 1.849 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 1.849 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 1.849 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 1.849 * [taylor]: Taking taylor expansion of +nan.0 in n 1.849 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.849 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.849 * [taylor]: Taking taylor expansion of n in n 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [backup-simplify]: Simplify (* 1 1) into 1 1.849 * [backup-simplify]: Simplify (/ 1 1) into 1 1.849 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 1.849 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 1.849 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 1.849 * [taylor]: Taking taylor expansion of +nan.0 in n 1.849 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.849 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.849 * [taylor]: Taking taylor expansion of n in n 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (/ 1 1) into 1 1.850 * [taylor]: Taking taylor expansion of (- +nan.0) in n 1.850 * [taylor]: Taking taylor expansion of +nan.0 in n 1.850 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.852 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.853 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.853 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.853 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.854 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 1.854 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.855 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 1.855 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.856 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- f))) 3)) (+ (* (- +nan.0) (pow (* 1 (/ 1 (- f))) 2)) (* (- +nan.0) (* 1 (/ 1 (- f)))))) into (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 3))) (- (* +nan.0 (/ 1 (pow f 2)))))))) 1.856 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.856 * [backup-simplify]: Simplify (/ (/ -1 (sqrt (- f n))) (/ (sqrt (- f n)) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 1.856 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.856 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.856 * [taylor]: Taking taylor expansion of -1 in n 1.856 * [backup-simplify]: Simplify -1 into -1 1.856 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.856 * [taylor]: Taking taylor expansion of (+ n f) in n 1.856 * [taylor]: Taking taylor expansion of n in n 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [taylor]: Taking taylor expansion of f in n 1.857 * [backup-simplify]: Simplify f into f 1.857 * [taylor]: Taking taylor expansion of (- f n) in n 1.857 * [taylor]: Taking taylor expansion of f in n 1.857 * [backup-simplify]: Simplify f into f 1.857 * [taylor]: Taking taylor expansion of n in n 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (+ 0 f) into f 1.857 * [backup-simplify]: Simplify (- 0) into 0 1.857 * [backup-simplify]: Simplify (+ f 0) into f 1.857 * [backup-simplify]: Simplify (/ f f) into 1 1.857 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.857 * [taylor]: Taking taylor expansion of -1 in f 1.857 * [backup-simplify]: Simplify -1 into -1 1.857 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.857 * [taylor]: Taking taylor expansion of (+ n f) in f 1.857 * [taylor]: Taking taylor expansion of n in f 1.857 * [backup-simplify]: Simplify n into n 1.857 * [taylor]: Taking taylor expansion of f in f 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [taylor]: Taking taylor expansion of (- f n) in f 1.857 * [taylor]: Taking taylor expansion of f in f 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [taylor]: Taking taylor expansion of n in f 1.857 * [backup-simplify]: Simplify n into n 1.857 * [backup-simplify]: Simplify (+ n 0) into n 1.857 * [backup-simplify]: Simplify (- n) into (- n) 1.857 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.857 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.857 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.857 * [taylor]: Taking taylor expansion of -1 in f 1.857 * [backup-simplify]: Simplify -1 into -1 1.857 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.857 * [taylor]: Taking taylor expansion of (+ n f) in f 1.857 * [taylor]: Taking taylor expansion of n in f 1.857 * [backup-simplify]: Simplify n into n 1.857 * [taylor]: Taking taylor expansion of f in f 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [taylor]: Taking taylor expansion of (- f n) in f 1.857 * [taylor]: Taking taylor expansion of f in f 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [taylor]: Taking taylor expansion of n in f 1.857 * [backup-simplify]: Simplify n into n 1.858 * [backup-simplify]: Simplify (+ n 0) into n 1.858 * [backup-simplify]: Simplify (- n) into (- n) 1.858 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.858 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.858 * [backup-simplify]: Simplify (* -1 -1) into 1 1.858 * [taylor]: Taking taylor expansion of 1 in n 1.858 * [backup-simplify]: Simplify 1 into 1 1.858 * [backup-simplify]: Simplify 1 into 1 1.858 * [backup-simplify]: Simplify (+ 0 1) into 1 1.858 * [backup-simplify]: Simplify (- 0) into 0 1.859 * [backup-simplify]: Simplify (+ 1 0) into 1 1.859 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.859 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.859 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.859 * [taylor]: Taking taylor expansion of 2 in n 1.859 * [backup-simplify]: Simplify 2 into 2 1.859 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.859 * [taylor]: Taking taylor expansion of n in n 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (/ 1 1) into 1 1.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.860 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [backup-simplify]: Simplify (- 0) into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.862 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.862 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.862 * [taylor]: Taking taylor expansion of 2 in n 1.862 * [backup-simplify]: Simplify 2 into 2 1.862 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.862 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.862 * [taylor]: Taking taylor expansion of n in n 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (* 1 1) into 1 1.862 * [backup-simplify]: Simplify (/ 1 1) into 1 1.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.864 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (- 0) into 0 1.866 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [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)))) 1.867 * [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))) 1.867 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.867 * [taylor]: Taking taylor expansion of 2 in n 1.867 * [backup-simplify]: Simplify 2 into 2 1.867 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.867 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.867 * [taylor]: Taking taylor expansion of n in n 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.867 * [backup-simplify]: Simplify (* 1 1) into 1 1.867 * [backup-simplify]: Simplify (* 1 1) into 1 1.868 * [backup-simplify]: Simplify (/ 1 1) into 1 1.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 1 into 1 1.873 * [backup-simplify]: Simplify (/ (/ -1 (sqrt (- (/ 1 f) (/ 1 n)))) (/ (sqrt (- (/ 1 f) (/ 1 n))) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.873 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.873 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.873 * [taylor]: Taking taylor expansion of -1 in n 1.873 * [backup-simplify]: Simplify -1 into -1 1.873 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.873 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.873 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.873 * [taylor]: Taking taylor expansion of f in n 1.873 * [backup-simplify]: Simplify f into f 1.873 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.873 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.873 * [taylor]: Taking taylor expansion of n in n 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [backup-simplify]: Simplify (/ 1 1) into 1 1.873 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.873 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.873 * [taylor]: Taking taylor expansion of f in n 1.873 * [backup-simplify]: Simplify f into f 1.873 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.873 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.873 * [taylor]: Taking taylor expansion of n in n 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.874 * [backup-simplify]: Simplify (/ 1 1) into 1 1.874 * [backup-simplify]: Simplify (+ 0 1) into 1 1.874 * [backup-simplify]: Simplify (- 1) into -1 1.874 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.874 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.874 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.875 * [taylor]: Taking taylor expansion of -1 in f 1.875 * [backup-simplify]: Simplify -1 into -1 1.875 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.875 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.875 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.875 * [taylor]: Taking taylor expansion of f in f 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [backup-simplify]: Simplify (/ 1 1) into 1 1.875 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.875 * [taylor]: Taking taylor expansion of n in f 1.875 * [backup-simplify]: Simplify n into n 1.875 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.875 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.875 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.875 * [taylor]: Taking taylor expansion of f in f 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [backup-simplify]: Simplify (/ 1 1) into 1 1.875 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.875 * [taylor]: Taking taylor expansion of n in f 1.875 * [backup-simplify]: Simplify n into n 1.875 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.876 * [backup-simplify]: Simplify (+ 1 0) into 1 1.876 * [backup-simplify]: Simplify (+ 1 0) into 1 1.876 * [backup-simplify]: Simplify (/ 1 1) into 1 1.876 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.876 * [taylor]: Taking taylor expansion of -1 in f 1.876 * [backup-simplify]: Simplify -1 into -1 1.876 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.876 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.876 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.876 * [taylor]: Taking taylor expansion of f in f 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [backup-simplify]: Simplify (/ 1 1) into 1 1.876 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.876 * [taylor]: Taking taylor expansion of n in f 1.876 * [backup-simplify]: Simplify n into n 1.876 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.877 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.877 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.877 * [taylor]: Taking taylor expansion of f in f 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.877 * [backup-simplify]: Simplify (/ 1 1) into 1 1.877 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.877 * [taylor]: Taking taylor expansion of n in f 1.877 * [backup-simplify]: Simplify n into n 1.877 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.877 * [backup-simplify]: Simplify (+ 1 0) into 1 1.877 * [backup-simplify]: Simplify (+ 1 0) into 1 1.878 * [backup-simplify]: Simplify (/ 1 1) into 1 1.878 * [backup-simplify]: Simplify (* -1 1) into -1 1.878 * [taylor]: Taking taylor expansion of -1 in n 1.878 * [backup-simplify]: Simplify -1 into -1 1.878 * [backup-simplify]: Simplify -1 into -1 1.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.879 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.879 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.879 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.879 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.879 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.879 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.879 * [taylor]: Taking taylor expansion of 2 in n 1.879 * [backup-simplify]: Simplify 2 into 2 1.879 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.879 * [taylor]: Taking taylor expansion of n in n 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify (/ 1 1) into 1 1.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.880 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.881 * [backup-simplify]: Simplify (- 0) into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.882 * [backup-simplify]: Simplify (+ 0 0) into 0 1.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.882 * [backup-simplify]: Simplify (- 0) into 0 1.883 * [backup-simplify]: Simplify (+ 0 0) into 0 1.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.884 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.884 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.884 * [taylor]: Taking taylor expansion of 2 in n 1.884 * [backup-simplify]: Simplify 2 into 2 1.884 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.884 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.884 * [taylor]: Taking taylor expansion of n in n 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (* 1 1) into 1 1.884 * [backup-simplify]: Simplify (/ 1 1) into 1 1.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.887 * [backup-simplify]: Simplify (- 0) into 0 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.888 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.888 * [backup-simplify]: Simplify (- 0) into 0 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.889 * [backup-simplify]: Simplify (+ 0 0) into 0 1.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.890 * [backup-simplify]: Simplify (- 0) into 0 1.890 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [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))) 1.892 * [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)))) 1.892 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.892 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.892 * [taylor]: Taking taylor expansion of 2 in n 1.892 * [backup-simplify]: Simplify 2 into 2 1.892 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.892 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.892 * [taylor]: Taking taylor expansion of n in n 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [backup-simplify]: Simplify (* 1 1) into 1 1.892 * [backup-simplify]: Simplify (* 1 1) into 1 1.892 * [backup-simplify]: Simplify (/ 1 1) into 1 1.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.897 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.897 * [backup-simplify]: Simplify (- 0) into 0 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify -1 into -1 1.898 * [backup-simplify]: Simplify (/ (/ -1 (sqrt (- (/ 1 (- f)) (/ 1 (- n))))) (/ (sqrt (- (/ 1 (- f)) (/ 1 (- n)))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.898 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.898 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.898 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.898 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.898 * [taylor]: Taking taylor expansion of f in n 1.898 * [backup-simplify]: Simplify f into f 1.898 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.898 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.898 * [taylor]: Taking taylor expansion of n in n 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 1 into 1 1.898 * [backup-simplify]: Simplify (/ 1 1) into 1 1.898 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.898 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.898 * [taylor]: Taking taylor expansion of n in n 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 1 into 1 1.898 * [backup-simplify]: Simplify (/ 1 1) into 1 1.898 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.898 * [taylor]: Taking taylor expansion of f in n 1.898 * [backup-simplify]: Simplify f into f 1.899 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.899 * [backup-simplify]: Simplify (+ 0 1) into 1 1.899 * [backup-simplify]: Simplify (+ 1 0) into 1 1.899 * [backup-simplify]: Simplify (/ 1 1) into 1 1.899 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.899 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.899 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.899 * [taylor]: Taking taylor expansion of f in f 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.900 * [backup-simplify]: Simplify (/ 1 1) into 1 1.900 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.900 * [taylor]: Taking taylor expansion of n in f 1.900 * [backup-simplify]: Simplify n into n 1.900 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.900 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.900 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.900 * [taylor]: Taking taylor expansion of n in f 1.900 * [backup-simplify]: Simplify n into n 1.900 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.900 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.900 * [taylor]: Taking taylor expansion of f in f 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 1 into 1 1.900 * [backup-simplify]: Simplify (/ 1 1) into 1 1.900 * [backup-simplify]: Simplify (+ 1 0) into 1 1.901 * [backup-simplify]: Simplify (- 1) into -1 1.901 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.901 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.901 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.901 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.901 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.901 * [taylor]: Taking taylor expansion of f in f 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [backup-simplify]: Simplify (/ 1 1) into 1 1.901 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.901 * [taylor]: Taking taylor expansion of n in f 1.901 * [backup-simplify]: Simplify n into n 1.902 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.902 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.902 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.902 * [taylor]: Taking taylor expansion of n in f 1.902 * [backup-simplify]: Simplify n into n 1.902 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.902 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.902 * [taylor]: Taking taylor expansion of f in f 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [backup-simplify]: Simplify (/ 1 1) into 1 1.902 * [backup-simplify]: Simplify (+ 1 0) into 1 1.902 * [backup-simplify]: Simplify (- 1) into -1 1.903 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.903 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.903 * [taylor]: Taking taylor expansion of -1 in n 1.903 * [backup-simplify]: Simplify -1 into -1 1.903 * [backup-simplify]: Simplify -1 into -1 1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.903 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (- 0) into 0 1.904 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.904 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.904 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.904 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.904 * [taylor]: Taking taylor expansion of 2 in n 1.904 * [backup-simplify]: Simplify 2 into 2 1.904 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.904 * [taylor]: Taking taylor expansion of n in n 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (/ 1 1) into 1 1.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.905 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.906 * [backup-simplify]: Simplify (- 0) into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.906 * [backup-simplify]: Simplify (+ 0 0) into 0 1.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.907 * [backup-simplify]: Simplify (- 0) into 0 1.907 * [backup-simplify]: Simplify (+ 0 0) into 0 1.908 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.908 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.908 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.908 * [taylor]: Taking taylor expansion of 2 in n 1.908 * [backup-simplify]: Simplify 2 into 2 1.908 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.908 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.908 * [taylor]: Taking taylor expansion of n in n 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [backup-simplify]: Simplify (* 1 1) into 1 1.911 * [backup-simplify]: Simplify (/ 1 1) into 1 1.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.913 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.913 * [backup-simplify]: Simplify (- 0) into 0 1.913 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.915 * [backup-simplify]: Simplify (- 0) into 0 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.916 * [backup-simplify]: Simplify (- 0) into 0 1.917 * [backup-simplify]: Simplify (+ 0 0) into 0 1.918 * [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)))) 1.918 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.918 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.918 * [taylor]: Taking taylor expansion of 2 in n 1.918 * [backup-simplify]: Simplify 2 into 2 1.918 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.918 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.918 * [taylor]: Taking taylor expansion of n in n 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (* 1 1) into 1 1.918 * [backup-simplify]: Simplify (* 1 1) into 1 1.918 * [backup-simplify]: Simplify (/ 1 1) into 1 1.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (- 0) into 0 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify -1 into -1 1.923 * * * [progress]: simplifying candidates 1.949 * [simplify]: Simplifying: (expm1 (/ (sqrt (- f n)) (+ f n))) (log1p (/ (sqrt (- f n)) (+ f n))) (- (log (sqrt (- f n))) (log (+ f n))) (log (/ (sqrt (- f n)) (+ f n))) (exp (/ (sqrt (- f n)) (+ f n))) (/ (* (* (sqrt (- f n)) (sqrt (- f n))) (sqrt (- f n))) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (sqrt (- f n)) (+ f n))) (cbrt (/ (sqrt (- f n)) (+ f n)))) (cbrt (/ (sqrt (- f n)) (+ f n))) (* (* (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (+ f n))) (/ (sqrt (- f 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