0.544 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.070 * * * [progress]: [2/2] Setting up program. 0.078 * [progress]: [Phase 2 of 3] Improving. 0.081 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.082 * * [simplify]: iteration 0: 6 enodes 0.135 * * [simplify]: iteration 1: 13 enodes 0.140 * * [simplify]: iteration 2: 16 enodes 0.144 * * [simplify]: iteration 3: 20 enodes 0.149 * * [simplify]: iteration 4: 24 enodes 0.155 * * [simplify]: iteration 5: 29 enodes 0.163 * * [simplify]: iteration 6: 31 enodes 0.169 * * [simplify]: iteration complete: 31 enodes 0.202 * * [simplify]: Extracting #0: cost 1 inf + 0 0.202 * * [simplify]: Extracting #1: cost 9 inf + 0 0.202 * * [simplify]: Extracting #2: cost 14 inf + 0 0.203 * * [simplify]: Extracting #3: cost 11 inf + 43 0.204 * * [simplify]: Extracting #4: cost 2 inf + 860 0.204 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.205 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.210 * * [progress]: iteration 1 / 4 0.210 * * * [progress]: picking best candidate 0.220 * * * * [pick]: Picked # 0.220 * * * [progress]: localizing error 0.278 * * * [progress]: generating rewritten candidates 0.278 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.394 * * * [progress]: generating series expansions 0.394 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.411 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.411 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.412 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.412 * [taylor]: Taking taylor expansion of -1 in n 0.412 * [backup-simplify]: Simplify -1 into -1 0.412 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.413 * [taylor]: Taking taylor expansion of (+ n f) in n 0.413 * [taylor]: Taking taylor expansion of n in n 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of f in n 0.413 * [backup-simplify]: Simplify f into f 0.413 * [taylor]: Taking taylor expansion of (- f n) in n 0.413 * [taylor]: Taking taylor expansion of f in n 0.413 * [backup-simplify]: Simplify f into f 0.413 * [taylor]: Taking taylor expansion of n in n 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (+ 0 f) into f 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify (+ f 0) into f 0.415 * [backup-simplify]: Simplify (/ f f) into 1 0.415 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.415 * [taylor]: Taking taylor expansion of -1 in f 0.415 * [backup-simplify]: Simplify -1 into -1 0.415 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.415 * [taylor]: Taking taylor expansion of (+ n f) in f 0.415 * [taylor]: Taking taylor expansion of n in f 0.415 * [backup-simplify]: Simplify n into n 0.415 * [taylor]: Taking taylor expansion of f in f 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of (- f n) in f 0.415 * [taylor]: Taking taylor expansion of f in f 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of n in f 0.415 * [backup-simplify]: Simplify n into n 0.415 * [backup-simplify]: Simplify (+ n 0) into n 0.415 * [backup-simplify]: Simplify (- n) into (- n) 0.415 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.415 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.415 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.415 * [taylor]: Taking taylor expansion of -1 in f 0.415 * [backup-simplify]: Simplify -1 into -1 0.415 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.415 * [taylor]: Taking taylor expansion of (+ n f) in f 0.415 * [taylor]: Taking taylor expansion of n in f 0.415 * [backup-simplify]: Simplify n into n 0.415 * [taylor]: Taking taylor expansion of f in f 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of (- f n) in f 0.416 * [taylor]: Taking taylor expansion of f in f 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of n in f 0.416 * [backup-simplify]: Simplify n into n 0.416 * [backup-simplify]: Simplify (+ n 0) into n 0.416 * [backup-simplify]: Simplify (- n) into (- n) 0.416 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.416 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.419 * [backup-simplify]: Simplify (* -1 -1) into 1 0.419 * [taylor]: Taking taylor expansion of 1 in n 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (+ 0 1) into 1 0.420 * [backup-simplify]: Simplify (- 0) into 0 0.420 * [backup-simplify]: Simplify (+ 1 0) into 1 0.421 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.421 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.421 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.421 * [taylor]: Taking taylor expansion of 2 in n 0.421 * [backup-simplify]: Simplify 2 into 2 0.421 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.421 * [taylor]: Taking taylor expansion of n in n 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.425 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.425 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.425 * [taylor]: Taking taylor expansion of 2 in n 0.425 * [backup-simplify]: Simplify 2 into 2 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.425 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.425 * [taylor]: Taking taylor expansion of n in n 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (- 0) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [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)))) 0.433 * [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))) 0.433 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.433 * [taylor]: Taking taylor expansion of 2 in n 0.433 * [backup-simplify]: Simplify 2 into 2 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.433 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.433 * [taylor]: Taking taylor expansion of n in n 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (* 1 1) into 1 0.433 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.440 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.440 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.440 * [taylor]: Taking taylor expansion of -1 in n 0.440 * [backup-simplify]: Simplify -1 into -1 0.440 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.440 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.440 * [taylor]: Taking taylor expansion of f in n 0.440 * [backup-simplify]: Simplify f into f 0.440 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.440 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.440 * [taylor]: Taking taylor expansion of n in n 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.441 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.441 * [taylor]: Taking taylor expansion of f in n 0.441 * [backup-simplify]: Simplify f into f 0.441 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.441 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.441 * [taylor]: Taking taylor expansion of n in n 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [backup-simplify]: Simplify (+ 0 1) into 1 0.442 * [backup-simplify]: Simplify (- 1) into -1 0.442 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.442 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.442 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.442 * [taylor]: Taking taylor expansion of -1 in f 0.442 * [backup-simplify]: Simplify -1 into -1 0.442 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.442 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.442 * [taylor]: Taking taylor expansion of f in f 0.442 * [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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.443 * [taylor]: Taking taylor expansion of n in f 0.443 * [backup-simplify]: Simplify n into n 0.443 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.443 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.443 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.443 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.443 * [taylor]: Taking taylor expansion of n in f 0.443 * [backup-simplify]: Simplify n into n 0.443 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.444 * [backup-simplify]: Simplify (+ 1 0) into 1 0.444 * [backup-simplify]: Simplify (+ 1 0) into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.444 * [taylor]: Taking taylor expansion of -1 in f 0.444 * [backup-simplify]: Simplify -1 into -1 0.444 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.444 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.444 * [taylor]: Taking taylor expansion of f in f 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.445 * [taylor]: Taking taylor expansion of n in f 0.445 * [backup-simplify]: Simplify n into n 0.445 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.445 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.445 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.445 * [taylor]: Taking taylor expansion of f in f 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.445 * [taylor]: Taking taylor expansion of n in f 0.445 * [backup-simplify]: Simplify n into n 0.445 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.445 * [backup-simplify]: Simplify (+ 1 0) into 1 0.446 * [backup-simplify]: Simplify (+ 1 0) into 1 0.446 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [backup-simplify]: Simplify (* -1 1) into -1 0.446 * [taylor]: Taking taylor expansion of -1 in n 0.446 * [backup-simplify]: Simplify -1 into -1 0.446 * [backup-simplify]: Simplify -1 into -1 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.447 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.447 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.448 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.448 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.448 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.448 * [taylor]: Taking taylor expansion of 2 in n 0.448 * [backup-simplify]: Simplify 2 into 2 0.448 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.448 * [taylor]: Taking taylor expansion of n in n 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.451 * [backup-simplify]: Simplify (- 0) into 0 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.453 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.453 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.453 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.453 * [taylor]: Taking taylor expansion of 2 in n 0.453 * [backup-simplify]: Simplify 2 into 2 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.453 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.453 * [taylor]: Taking taylor expansion of n in n 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (* 1 1) into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.456 * [backup-simplify]: Simplify (- 0) into 0 0.456 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [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))) 0.464 * [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)))) 0.464 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.464 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.464 * [taylor]: Taking taylor expansion of 2 in n 0.465 * [backup-simplify]: Simplify 2 into 2 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.465 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.465 * [taylor]: Taking taylor expansion of n in n 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify -1 into -1 0.472 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.472 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.472 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.472 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.472 * [taylor]: Taking taylor expansion of f in n 0.472 * [backup-simplify]: Simplify f into f 0.472 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.472 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.472 * [taylor]: Taking taylor expansion of n in n 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.473 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.473 * [taylor]: Taking taylor expansion of n in n 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.473 * [taylor]: Taking taylor expansion of f in n 0.473 * [backup-simplify]: Simplify f into f 0.473 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.473 * [backup-simplify]: Simplify (+ 0 1) into 1 0.474 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.474 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.474 * [taylor]: Taking taylor expansion of f in f 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.474 * [taylor]: Taking taylor expansion of n in f 0.474 * [backup-simplify]: Simplify n into n 0.475 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.475 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.475 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.475 * [taylor]: Taking taylor expansion of n in f 0.475 * [backup-simplify]: Simplify n into n 0.475 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.475 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.475 * [taylor]: Taking taylor expansion of f in f 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [backup-simplify]: Simplify (+ 1 0) into 1 0.476 * [backup-simplify]: Simplify (- 1) into -1 0.476 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.476 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.476 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.476 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.476 * [taylor]: Taking taylor expansion of f in f 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.476 * [taylor]: Taking taylor expansion of n in f 0.476 * [backup-simplify]: Simplify n into n 0.477 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.477 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.477 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.477 * [taylor]: Taking taylor expansion of n in f 0.477 * [backup-simplify]: Simplify n into n 0.477 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.477 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.477 * [taylor]: Taking taylor expansion of f in f 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [backup-simplify]: Simplify (+ 1 0) into 1 0.477 * [backup-simplify]: Simplify (- 1) into -1 0.478 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.478 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.478 * [taylor]: Taking taylor expansion of -1 in n 0.478 * [backup-simplify]: Simplify -1 into -1 0.478 * [backup-simplify]: Simplify -1 into -1 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- 0) into 0 0.479 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.480 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.480 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.480 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.480 * [taylor]: Taking taylor expansion of 2 in n 0.480 * [backup-simplify]: Simplify 2 into 2 0.480 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.480 * [taylor]: Taking taylor expansion of n in n 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.481 * [backup-simplify]: Simplify (- 0) into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (- 0) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.484 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.484 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.484 * [taylor]: Taking taylor expansion of 2 in n 0.484 * [backup-simplify]: Simplify 2 into 2 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.484 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.484 * [taylor]: Taking taylor expansion of n in n 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (* 1 1) into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.489 * [backup-simplify]: Simplify (- 0) into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (- 0) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [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)))) 0.492 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.492 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.492 * [taylor]: Taking taylor expansion of 2 in n 0.493 * [backup-simplify]: Simplify 2 into 2 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.493 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.493 * [taylor]: Taking taylor expansion of n in n 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (* 1 1) into 1 0.493 * [backup-simplify]: Simplify (* 1 1) into 1 0.493 * [backup-simplify]: Simplify (/ 1 1) into 1 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (- 0) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify -1 into -1 0.499 * * * [progress]: simplifying candidates 0.501 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.502 * * [simplify]: iteration 0: 133 enodes 0.539 * * [simplify]: iteration 1: 311 enodes 0.599 * * [simplify]: iteration 2: 698 enodes 0.800 * * [simplify]: iteration 3: 2226 enodes 1.600 * * [simplify]: iteration complete: 5006 enodes 1.601 * * [simplify]: Extracting #0: cost 86 inf + 0 1.602 * * [simplify]: Extracting #1: cost 514 inf + 3 1.606 * * [simplify]: Extracting #2: cost 1092 inf + 10415 1.641 * * [simplify]: Extracting #3: cost 848 inf + 144858 1.703 * * [simplify]: Extracting #4: cost 309 inf + 266790 1.776 * * [simplify]: Extracting #5: cost 96 inf + 321399 1.841 * * [simplify]: Extracting #6: cost 53 inf + 332283 1.923 * * [simplify]: Extracting #7: cost 10 inf + 340564 2.011 * * [simplify]: Extracting #8: cost 0 inf + 343091 2.132 * [simplify]: Simplified to: (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (* (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) (cbrt (/ (- (+ n f)) (- f n))) (* (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (+ n f) (+ n (- f)) 0 (/ (+ n f) (- f n)) (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))) (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (sqrt (- f n))) (/ (cbrt (- (+ n f))) (sqrt (- f n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (cbrt (- (+ n f))) (/ (+ (sqrt n) (sqrt f)) (cbrt (- (+ n f))))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (/ (sqrt (- (+ n f))) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (cbrt (+ n f)) (cbrt (- f n))) (- (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f))))) (/ (cbrt (+ n f)) (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (- (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n)))) (/ (sqrt (+ n f)) (cbrt (- f n))) (- (/ (sqrt (+ n f)) (sqrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (- (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f)))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (- (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f)))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (- (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (/ (sqrt (+ n f)) (sqrt (- f n)))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (- (/ (/ (+ n f) (cbrt (- f n))) (cbrt (- f n)))) (/ (- (+ n f)) (sqrt (- f n))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (- (/ (+ n f) (- (* (* f f) f) (* (* n n) n)))) (/ -1 (- f n)) (* (+ (* (- n) (- f n)) (* f f)) (- f n)) (* (- f n) (- f n)) 1 -1 -1 2.143 * * * [progress]: adding candidates to table 2.521 * * [progress]: iteration 2 / 4 2.522 * * * [progress]: picking best candidate 2.537 * * * * [pick]: Picked # 2.537 * * * [progress]: localizing error 2.567 * * * [progress]: generating rewritten candidates 2.567 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.725 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.932 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.211 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 3.336 * * * [progress]: generating series expansions 3.336 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.337 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) into (/ (* (cbrt -1) (+ n f)) (- f n)) 3.337 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0 3.337 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 3.337 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 3.337 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.337 * [taylor]: Taking taylor expansion of -1 in n 3.337 * [backup-simplify]: Simplify -1 into -1 3.338 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.338 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.338 * [taylor]: Taking taylor expansion of (+ n f) in n 3.338 * [taylor]: Taking taylor expansion of n in n 3.338 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify 1 into 1 3.338 * [taylor]: Taking taylor expansion of f in n 3.338 * [backup-simplify]: Simplify f into f 3.338 * [taylor]: Taking taylor expansion of (- f n) in n 3.338 * [taylor]: Taking taylor expansion of f in n 3.338 * [backup-simplify]: Simplify f into f 3.339 * [taylor]: Taking taylor expansion of n in n 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify 1 into 1 3.339 * [backup-simplify]: Simplify (+ 0 f) into f 3.339 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 3.339 * [backup-simplify]: Simplify (- 0) into 0 3.339 * [backup-simplify]: Simplify (+ f 0) into f 3.340 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 3.340 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 3.340 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 3.340 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.340 * [taylor]: Taking taylor expansion of -1 in f 3.340 * [backup-simplify]: Simplify -1 into -1 3.340 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.341 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.341 * [taylor]: Taking taylor expansion of (+ n f) in f 3.341 * [taylor]: Taking taylor expansion of n in f 3.341 * [backup-simplify]: Simplify n into n 3.341 * [taylor]: Taking taylor expansion of f in f 3.341 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify 1 into 1 3.341 * [taylor]: Taking taylor expansion of (- f n) in f 3.341 * [taylor]: Taking taylor expansion of f in f 3.341 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify 1 into 1 3.341 * [taylor]: Taking taylor expansion of n in f 3.341 * [backup-simplify]: Simplify n into n 3.341 * [backup-simplify]: Simplify (+ n 0) into n 3.341 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 3.341 * [backup-simplify]: Simplify (- n) into (- n) 3.341 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.341 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 3.341 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 3.342 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 3.342 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.342 * [taylor]: Taking taylor expansion of -1 in f 3.342 * [backup-simplify]: Simplify -1 into -1 3.342 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.342 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.342 * [taylor]: Taking taylor expansion of (+ n f) in f 3.342 * [taylor]: Taking taylor expansion of n in f 3.342 * [backup-simplify]: Simplify n into n 3.342 * [taylor]: Taking taylor expansion of f in f 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 1 into 1 3.342 * [taylor]: Taking taylor expansion of (- f n) in f 3.342 * [taylor]: Taking taylor expansion of f in f 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 1 into 1 3.342 * [taylor]: Taking taylor expansion of n in f 3.342 * [backup-simplify]: Simplify n into n 3.342 * [backup-simplify]: Simplify (+ n 0) into n 3.343 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 3.343 * [backup-simplify]: Simplify (- n) into (- n) 3.343 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.343 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 3.343 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n 3.343 * [taylor]: Taking taylor expansion of -1 in n 3.343 * [backup-simplify]: Simplify -1 into -1 3.343 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.343 * [taylor]: Taking taylor expansion of -1 in n 3.343 * [backup-simplify]: Simplify -1 into -1 3.344 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.344 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.345 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 3.345 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 3.346 * [backup-simplify]: Simplify (+ 0 1) into 1 3.346 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 n)) into (cbrt -1) 3.347 * [backup-simplify]: Simplify (- 0) into 0 3.347 * [backup-simplify]: Simplify (+ 1 0) into 1 3.348 * [backup-simplify]: Simplify (- (/ (cbrt -1) (- n)) (+ (* (* -1 (cbrt -1)) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) n))) 3.348 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n 3.348 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 3.348 * [taylor]: Taking taylor expansion of 2 in n 3.348 * [backup-simplify]: Simplify 2 into 2 3.348 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 3.348 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.348 * [taylor]: Taking taylor expansion of -1 in n 3.348 * [backup-simplify]: Simplify -1 into -1 3.348 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.349 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.349 * [taylor]: Taking taylor expansion of n in n 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify 1 into 1 3.349 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.350 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 3.351 * [backup-simplify]: Simplify (- 0) into 0 3.351 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0 3.351 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify (+ 0 0) into 0 3.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.353 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 n))) into 0 3.353 * [backup-simplify]: Simplify (- 0) into 0 3.354 * [backup-simplify]: Simplify (+ 0 0) into 0 3.355 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 2)))) 3.355 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n 3.355 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 3.355 * [taylor]: Taking taylor expansion of 2 in n 3.355 * [backup-simplify]: Simplify 2 into 2 3.355 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 3.355 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.355 * [taylor]: Taking taylor expansion of -1 in n 3.355 * [backup-simplify]: Simplify -1 into -1 3.355 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.356 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.356 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.356 * [taylor]: Taking taylor expansion of n in n 3.356 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (* 1 1) into 1 3.356 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.360 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.360 * [backup-simplify]: Simplify (- 0) into 0 3.360 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.362 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.363 * [backup-simplify]: Simplify (- 0) into 0 3.363 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.364 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify (+ 0 0) into 0 3.365 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.366 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 n)))) into 0 3.366 * [backup-simplify]: Simplify (- 0) into 0 3.366 * [backup-simplify]: Simplify (+ 0 0) into 0 3.368 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 3)))) 3.368 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n 3.368 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 3.368 * [taylor]: Taking taylor expansion of 2 in n 3.368 * [backup-simplify]: Simplify 2 into 2 3.368 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 3.368 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.368 * [taylor]: Taking taylor expansion of -1 in n 3.368 * [backup-simplify]: Simplify -1 into -1 3.369 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.369 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.370 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.370 * [taylor]: Taking taylor expansion of n in n 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (* 1 1) into 1 3.370 * [backup-simplify]: Simplify (* 1 1) into 1 3.371 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.373 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.384 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.385 * [backup-simplify]: Simplify (- 0) into 0 3.385 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 3.387 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) 3.387 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in (f n) around 0 3.387 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in n 3.387 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in n 3.387 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.387 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.387 * [taylor]: Taking taylor expansion of f in n 3.387 * [backup-simplify]: Simplify f into f 3.387 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.387 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.387 * [taylor]: Taking taylor expansion of n in n 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 1 into 1 3.387 * [backup-simplify]: Simplify (/ 1 1) into 1 3.387 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.388 * [taylor]: Taking taylor expansion of -1 in n 3.388 * [backup-simplify]: Simplify -1 into -1 3.388 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.389 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.389 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.389 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.389 * [taylor]: Taking taylor expansion of f in n 3.389 * [backup-simplify]: Simplify f into f 3.389 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.389 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.389 * [taylor]: Taking taylor expansion of n in n 3.389 * [backup-simplify]: Simplify 0 into 0 3.389 * [backup-simplify]: Simplify 1 into 1 3.389 * [backup-simplify]: Simplify (/ 1 1) into 1 3.390 * [backup-simplify]: Simplify (+ 0 1) into 1 3.391 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 3.391 * [backup-simplify]: Simplify (- 1) into -1 3.392 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.393 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 3.393 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in f 3.393 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in f 3.393 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.393 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.393 * [taylor]: Taking taylor expansion of f in f 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 1 into 1 3.393 * [backup-simplify]: Simplify (/ 1 1) into 1 3.393 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.393 * [taylor]: Taking taylor expansion of n in f 3.393 * [backup-simplify]: Simplify n into n 3.393 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.393 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.393 * [taylor]: Taking taylor expansion of -1 in f 3.393 * [backup-simplify]: Simplify -1 into -1 3.394 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.394 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.395 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.395 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.395 * [taylor]: Taking taylor expansion of f in f 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify 1 into 1 3.395 * [backup-simplify]: Simplify (/ 1 1) into 1 3.395 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.395 * [taylor]: Taking taylor expansion of n in f 3.395 * [backup-simplify]: Simplify n into n 3.395 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.396 * [backup-simplify]: Simplify (+ 1 0) into 1 3.397 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 3.397 * [backup-simplify]: Simplify (+ 1 0) into 1 3.398 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.398 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in f 3.398 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in f 3.398 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.398 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.398 * [taylor]: Taking taylor expansion of f in f 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 1 into 1 3.399 * [backup-simplify]: Simplify (/ 1 1) into 1 3.399 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.399 * [taylor]: Taking taylor expansion of n in f 3.399 * [backup-simplify]: Simplify n into n 3.399 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.399 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.399 * [taylor]: Taking taylor expansion of -1 in f 3.399 * [backup-simplify]: Simplify -1 into -1 3.399 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.400 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.400 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.400 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.400 * [taylor]: Taking taylor expansion of f in f 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 1 into 1 3.400 * [backup-simplify]: Simplify (/ 1 1) into 1 3.400 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.401 * [taylor]: Taking taylor expansion of n in f 3.401 * [backup-simplify]: Simplify n into n 3.401 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.401 * [backup-simplify]: Simplify (+ 1 0) into 1 3.401 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 3.402 * [backup-simplify]: Simplify (+ 1 0) into 1 3.402 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.402 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.402 * [taylor]: Taking taylor expansion of -1 in n 3.402 * [backup-simplify]: Simplify -1 into -1 3.403 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.403 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.403 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.404 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.405 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) (cbrt -1))) into (/ (cbrt -1) n) 3.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.405 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.405 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.406 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) n) 1) (+ (* (cbrt -1) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) n)) 3.406 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 3.406 * [taylor]: Taking taylor expansion of 2 in n 3.406 * [backup-simplify]: Simplify 2 into 2 3.406 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 3.406 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.406 * [taylor]: Taking taylor expansion of -1 in n 3.406 * [backup-simplify]: Simplify -1 into -1 3.406 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.407 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.407 * [taylor]: Taking taylor expansion of n in n 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 1 into 1 3.407 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.408 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.416 * [backup-simplify]: Simplify (+ 0 0) into 0 3.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 (cbrt -1)))) into 0 3.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.418 * [backup-simplify]: Simplify (- 0) into 0 3.418 * [backup-simplify]: Simplify (+ 0 0) into 0 3.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 2))) 3.419 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 3.419 * [taylor]: Taking taylor expansion of 2 in n 3.419 * [backup-simplify]: Simplify 2 into 2 3.419 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 3.419 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.419 * [taylor]: Taking taylor expansion of -1 in n 3.419 * [backup-simplify]: Simplify -1 into -1 3.420 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.420 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.420 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.420 * [taylor]: Taking taylor expansion of n in n 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 1 into 1 3.420 * [backup-simplify]: Simplify (* 1 1) into 1 3.421 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.425 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.425 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.427 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.427 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.428 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.431 * [backup-simplify]: Simplify (+ 0 0) into 0 3.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.434 * [backup-simplify]: Simplify (- 0) into 0 3.434 * [backup-simplify]: Simplify (+ 0 0) into 0 3.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ 0 1)) (* (* 2 (/ (cbrt -1) (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 3))) 3.437 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 3.437 * [taylor]: Taking taylor expansion of 2 in n 3.437 * [backup-simplify]: Simplify 2 into 2 3.437 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 3.437 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.437 * [taylor]: Taking taylor expansion of -1 in n 3.437 * [backup-simplify]: Simplify -1 into -1 3.438 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.439 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.439 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.439 * [taylor]: Taking taylor expansion of n in n 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify 1 into 1 3.439 * [backup-simplify]: Simplify (* 1 1) into 1 3.439 * [backup-simplify]: Simplify (* 1 1) into 1 3.440 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.449 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.449 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.450 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.450 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.450 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.450 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.450 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.450 * [taylor]: Taking taylor expansion of f in n 3.450 * [backup-simplify]: Simplify f into f 3.450 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.450 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.450 * [taylor]: Taking taylor expansion of n in n 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.451 * [backup-simplify]: Simplify (/ 1 1) into 1 3.451 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.451 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.451 * [taylor]: Taking taylor expansion of n in n 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [backup-simplify]: Simplify (/ 1 1) into 1 3.451 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.451 * [taylor]: Taking taylor expansion of f in n 3.451 * [backup-simplify]: Simplify f into f 3.451 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.451 * [backup-simplify]: Simplify (+ 0 1) into 1 3.452 * [backup-simplify]: Simplify (+ 1 0) into 1 3.452 * [backup-simplify]: Simplify (/ 1 1) into 1 3.452 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.452 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.452 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.452 * [taylor]: Taking taylor expansion of f in f 3.452 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify 1 into 1 3.452 * [backup-simplify]: Simplify (/ 1 1) into 1 3.452 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.452 * [taylor]: Taking taylor expansion of n in f 3.452 * [backup-simplify]: Simplify n into n 3.452 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.452 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.452 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.452 * [taylor]: Taking taylor expansion of n in f 3.452 * [backup-simplify]: Simplify n into n 3.452 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.452 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.452 * [taylor]: Taking taylor expansion of f in f 3.452 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify 1 into 1 3.453 * [backup-simplify]: Simplify (/ 1 1) into 1 3.453 * [backup-simplify]: Simplify (+ 1 0) into 1 3.453 * [backup-simplify]: Simplify (- 1) into -1 3.453 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.454 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.454 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.454 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.454 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.454 * [taylor]: Taking taylor expansion of f in f 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify 1 into 1 3.454 * [backup-simplify]: Simplify (/ 1 1) into 1 3.454 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.454 * [taylor]: Taking taylor expansion of n in f 3.454 * [backup-simplify]: Simplify n into n 3.454 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.454 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.454 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.454 * [taylor]: Taking taylor expansion of n in f 3.454 * [backup-simplify]: Simplify n into n 3.454 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.454 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.454 * [taylor]: Taking taylor expansion of f in f 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify 1 into 1 3.455 * [backup-simplify]: Simplify (/ 1 1) into 1 3.455 * [backup-simplify]: Simplify (+ 1 0) into 1 3.455 * [backup-simplify]: Simplify (- 1) into -1 3.455 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.456 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.456 * [taylor]: Taking taylor expansion of -1 in n 3.456 * [backup-simplify]: Simplify -1 into -1 3.456 * [backup-simplify]: Simplify -1 into -1 3.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.456 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.457 * [backup-simplify]: Simplify (- 0) into 0 3.457 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.457 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.457 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.457 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.457 * [taylor]: Taking taylor expansion of 2 in n 3.457 * [backup-simplify]: Simplify 2 into 2 3.457 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.457 * [taylor]: Taking taylor expansion of n in n 3.457 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify 1 into 1 3.457 * [backup-simplify]: Simplify (/ 1 1) into 1 3.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.458 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.458 * [backup-simplify]: Simplify (- 0) into 0 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.459 * [backup-simplify]: Simplify (+ 0 0) into 0 3.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.460 * [backup-simplify]: Simplify (- 0) into 0 3.460 * [backup-simplify]: Simplify (+ 0 0) into 0 3.461 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.461 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.461 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.461 * [taylor]: Taking taylor expansion of 2 in n 3.461 * [backup-simplify]: Simplify 2 into 2 3.461 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.461 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.461 * [taylor]: Taking taylor expansion of n in n 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify 1 into 1 3.461 * [backup-simplify]: Simplify (* 1 1) into 1 3.462 * [backup-simplify]: Simplify (/ 1 1) into 1 3.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.464 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.464 * [backup-simplify]: Simplify (- 0) into 0 3.464 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.465 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.466 * [backup-simplify]: Simplify (- 0) into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.467 * [backup-simplify]: Simplify (+ 0 0) into 0 3.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (- 0) into 0 3.468 * [backup-simplify]: Simplify (+ 0 0) into 0 3.469 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.469 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.469 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.469 * [taylor]: Taking taylor expansion of 2 in n 3.469 * [backup-simplify]: Simplify 2 into 2 3.469 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.469 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.469 * [taylor]: Taking taylor expansion of n in n 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.469 * [backup-simplify]: Simplify (* 1 1) into 1 3.469 * [backup-simplify]: Simplify (* 1 1) into 1 3.470 * [backup-simplify]: Simplify (/ 1 1) into 1 3.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.476 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.477 * [backup-simplify]: Simplify (- 0) into 0 3.477 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify -1 into -1 3.477 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 3.477 * [backup-simplify]: Simplify (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) into (/ (pow (+ n f) 2) (pow (- f n) 2)) 3.477 * [approximate]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in (f n) around 0 3.477 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 3.477 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 3.477 * [taylor]: Taking taylor expansion of (+ n f) in n 3.477 * [taylor]: Taking taylor expansion of n in n 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.478 * [taylor]: Taking taylor expansion of f in n 3.478 * [backup-simplify]: Simplify f into f 3.478 * [backup-simplify]: Simplify (+ 0 f) into f 3.478 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 3.478 * [taylor]: Taking taylor expansion of (- f n) in n 3.478 * [taylor]: Taking taylor expansion of f in n 3.478 * [backup-simplify]: Simplify f into f 3.478 * [taylor]: Taking taylor expansion of n in n 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.478 * [backup-simplify]: Simplify (- 0) into 0 3.478 * [backup-simplify]: Simplify (+ f 0) into f 3.478 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.478 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.479 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 3.479 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 3.479 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 3.479 * [taylor]: Taking taylor expansion of (+ n f) in f 3.479 * [taylor]: Taking taylor expansion of n in f 3.479 * [backup-simplify]: Simplify n into n 3.479 * [taylor]: Taking taylor expansion of f in f 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify 1 into 1 3.479 * [backup-simplify]: Simplify (+ n 0) into n 3.479 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 3.479 * [taylor]: Taking taylor expansion of (- f n) in f 3.479 * [taylor]: Taking taylor expansion of f in f 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify 1 into 1 3.479 * [taylor]: Taking taylor expansion of n in f 3.479 * [backup-simplify]: Simplify n into n 3.479 * [backup-simplify]: Simplify (- n) into (- n) 3.479 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.479 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.480 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 3.480 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 3.480 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 3.480 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 3.480 * [taylor]: Taking taylor expansion of (+ n f) in f 3.480 * [taylor]: Taking taylor expansion of n in f 3.480 * [backup-simplify]: Simplify n into n 3.480 * [taylor]: Taking taylor expansion of f in f 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 1 into 1 3.480 * [backup-simplify]: Simplify (+ n 0) into n 3.480 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 3.480 * [taylor]: Taking taylor expansion of (- f n) in f 3.480 * [taylor]: Taking taylor expansion of f in f 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 1 into 1 3.480 * [taylor]: Taking taylor expansion of n in f 3.480 * [backup-simplify]: Simplify n into n 3.480 * [backup-simplify]: Simplify (- n) into (- n) 3.480 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.480 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.481 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 3.481 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 3.481 * [taylor]: Taking taylor expansion of 1 in n 3.481 * [backup-simplify]: Simplify 1 into 1 3.481 * [backup-simplify]: Simplify 1 into 1 3.481 * [backup-simplify]: Simplify (+ 0 1) into 1 3.482 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 3.482 * [backup-simplify]: Simplify (- 0) into 0 3.482 * [backup-simplify]: Simplify (+ 1 0) into 1 3.483 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 3.483 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 3.483 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 3.483 * [taylor]: Taking taylor expansion of 4 in n 3.483 * [backup-simplify]: Simplify 4 into 4 3.483 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.483 * [taylor]: Taking taylor expansion of n in n 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 1 into 1 3.484 * [backup-simplify]: Simplify (/ 1 1) into 1 3.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.485 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify (+ 0 0) into 0 3.486 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 3.487 * [backup-simplify]: Simplify (- 0) into 0 3.487 * [backup-simplify]: Simplify (+ 0 0) into 0 3.488 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 3.488 * [backup-simplify]: Simplify (- (/ 1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 4 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 8 (/ 1 (pow n 2))) 3.488 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 3.488 * [taylor]: Taking taylor expansion of 8 in n 3.488 * [backup-simplify]: Simplify 8 into 8 3.488 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.488 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.488 * [taylor]: Taking taylor expansion of n in n 3.488 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify 1 into 1 3.489 * [backup-simplify]: Simplify (* 1 1) into 1 3.489 * [backup-simplify]: Simplify (/ 1 1) into 1 3.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.493 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.494 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify (+ 0 0) into 0 3.495 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 3.495 * [backup-simplify]: Simplify (- 0) into 0 3.495 * [backup-simplify]: Simplify (+ 0 0) into 0 3.496 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 3.496 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 4 (/ 1 n)) (/ 1 (pow n 2))) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 12 (/ 1 (pow n 3))) 3.496 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 3.496 * [taylor]: Taking taylor expansion of 12 in n 3.496 * [backup-simplify]: Simplify 12 into 12 3.496 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.496 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.496 * [taylor]: Taking taylor expansion of n in n 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [backup-simplify]: Simplify (* 1 1) into 1 3.497 * [backup-simplify]: Simplify (* 1 1) into 1 3.498 * [backup-simplify]: Simplify (/ 1 1) into 1 3.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.503 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 3.503 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 3.503 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 3.503 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 3.503 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.503 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.503 * [taylor]: Taking taylor expansion of f in n 3.503 * [backup-simplify]: Simplify f into f 3.503 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.503 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.503 * [taylor]: Taking taylor expansion of n in n 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.504 * [backup-simplify]: Simplify (/ 1 1) into 1 3.504 * [backup-simplify]: Simplify (+ 0 1) into 1 3.504 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 3.504 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.504 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.504 * [taylor]: Taking taylor expansion of f in n 3.504 * [backup-simplify]: Simplify f into f 3.504 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.504 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.504 * [taylor]: Taking taylor expansion of n in n 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 1 into 1 3.504 * [backup-simplify]: Simplify (/ 1 1) into 1 3.505 * [backup-simplify]: Simplify (- 1) into -1 3.505 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.505 * [backup-simplify]: Simplify (* 1 1) into 1 3.505 * [backup-simplify]: Simplify (* -1 -1) into 1 3.505 * [backup-simplify]: Simplify (/ 1 1) into 1 3.505 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 3.505 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 3.506 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.506 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.506 * [taylor]: Taking taylor expansion of f in f 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify (/ 1 1) into 1 3.506 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.506 * [taylor]: Taking taylor expansion of n in f 3.506 * [backup-simplify]: Simplify n into n 3.506 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.506 * [backup-simplify]: Simplify (+ 1 0) into 1 3.506 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 3.506 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.506 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.506 * [taylor]: Taking taylor expansion of f in f 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify (/ 1 1) into 1 3.507 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.507 * [taylor]: Taking taylor expansion of n in f 3.507 * [backup-simplify]: Simplify n into n 3.507 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.507 * [backup-simplify]: Simplify (+ 1 0) into 1 3.507 * [backup-simplify]: Simplify (* 1 1) into 1 3.507 * [backup-simplify]: Simplify (* 1 1) into 1 3.508 * [backup-simplify]: Simplify (/ 1 1) into 1 3.508 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 3.508 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 3.508 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.508 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.508 * [taylor]: Taking taylor expansion of f in f 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify 1 into 1 3.508 * [backup-simplify]: Simplify (/ 1 1) into 1 3.508 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.508 * [taylor]: Taking taylor expansion of n in f 3.508 * [backup-simplify]: Simplify n into n 3.508 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.508 * [backup-simplify]: Simplify (+ 1 0) into 1 3.508 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 3.508 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.508 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.508 * [taylor]: Taking taylor expansion of f in f 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify 1 into 1 3.509 * [backup-simplify]: Simplify (/ 1 1) into 1 3.509 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.509 * [taylor]: Taking taylor expansion of n in f 3.509 * [backup-simplify]: Simplify n into n 3.509 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.509 * [backup-simplify]: Simplify (+ 1 0) into 1 3.509 * [backup-simplify]: Simplify (* 1 1) into 1 3.509 * [backup-simplify]: Simplify (* 1 1) into 1 3.510 * [backup-simplify]: Simplify (/ 1 1) into 1 3.510 * [taylor]: Taking taylor expansion of 1 in n 3.510 * [backup-simplify]: Simplify 1 into 1 3.510 * [backup-simplify]: Simplify 1 into 1 3.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.510 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.510 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 3.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.511 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.511 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.511 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 3.511 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 3.511 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 3.511 * [taylor]: Taking taylor expansion of 4 in n 3.511 * [backup-simplify]: Simplify 4 into 4 3.511 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.511 * [taylor]: Taking taylor expansion of n in n 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 1 into 1 3.511 * [backup-simplify]: Simplify (/ 1 1) into 1 3.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.512 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.513 * [backup-simplify]: Simplify (+ 0 0) into 0 3.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 3.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.515 * [backup-simplify]: Simplify (- 0) into 0 3.515 * [backup-simplify]: Simplify (+ 0 0) into 0 3.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 3.519 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 3.519 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 3.519 * [taylor]: Taking taylor expansion of 8 in n 3.519 * [backup-simplify]: Simplify 8 into 8 3.519 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.519 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.519 * [taylor]: Taking taylor expansion of n in n 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify 1 into 1 3.520 * [backup-simplify]: Simplify (* 1 1) into 1 3.520 * [backup-simplify]: Simplify (/ 1 1) into 1 3.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.522 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 3.522 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.523 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.524 * [backup-simplify]: Simplify (+ 0 0) into 0 3.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 3.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.526 * [backup-simplify]: Simplify (- 0) into 0 3.526 * [backup-simplify]: Simplify (+ 0 0) into 0 3.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 3.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 3.528 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 3.528 * [taylor]: Taking taylor expansion of 12 in n 3.528 * [backup-simplify]: Simplify 12 into 12 3.528 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.528 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.528 * [taylor]: Taking taylor expansion of n in n 3.528 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify 1 into 1 3.528 * [backup-simplify]: Simplify (* 1 1) into 1 3.528 * [backup-simplify]: Simplify (* 1 1) into 1 3.528 * [backup-simplify]: Simplify (/ 1 1) into 1 3.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.533 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.533 * [backup-simplify]: Simplify 0 into 0 3.534 * [backup-simplify]: Simplify 1 into 1 3.534 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 3.534 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0 3.534 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 3.534 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 3.534 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.534 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.534 * [taylor]: Taking taylor expansion of f in n 3.534 * [backup-simplify]: Simplify f into f 3.534 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.534 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.534 * [taylor]: Taking taylor expansion of n in n 3.534 * [backup-simplify]: Simplify 0 into 0 3.534 * [backup-simplify]: Simplify 1 into 1 3.534 * [backup-simplify]: Simplify (/ 1 1) into 1 3.535 * [backup-simplify]: Simplify (+ 0 1) into 1 3.535 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 3.535 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.535 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.535 * [taylor]: Taking taylor expansion of n in n 3.535 * [backup-simplify]: Simplify 0 into 0 3.535 * [backup-simplify]: Simplify 1 into 1 3.535 * [backup-simplify]: Simplify (/ 1 1) into 1 3.535 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.535 * [taylor]: Taking taylor expansion of f in n 3.535 * [backup-simplify]: Simplify f into f 3.535 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.535 * [backup-simplify]: Simplify (+ 1 0) into 1 3.536 * [backup-simplify]: Simplify (* 1 1) into 1 3.536 * [backup-simplify]: Simplify (* 1 1) into 1 3.536 * [backup-simplify]: Simplify (/ 1 1) into 1 3.536 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 3.536 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 3.536 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.536 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.536 * [taylor]: Taking taylor expansion of f in f 3.536 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify 1 into 1 3.537 * [backup-simplify]: Simplify (/ 1 1) into 1 3.537 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.537 * [taylor]: Taking taylor expansion of n in f 3.537 * [backup-simplify]: Simplify n into n 3.537 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.537 * [backup-simplify]: Simplify (+ 1 0) into 1 3.537 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 3.537 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.537 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.537 * [taylor]: Taking taylor expansion of n in f 3.537 * [backup-simplify]: Simplify n into n 3.538 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.538 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.538 * [taylor]: Taking taylor expansion of f in f 3.538 * [backup-simplify]: Simplify 0 into 0 3.538 * [backup-simplify]: Simplify 1 into 1 3.538 * [backup-simplify]: Simplify (/ 1 1) into 1 3.538 * [backup-simplify]: Simplify (- 1) into -1 3.539 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.539 * [backup-simplify]: Simplify (* 1 1) into 1 3.540 * [backup-simplify]: Simplify (* -1 -1) into 1 3.540 * [backup-simplify]: Simplify (/ 1 1) into 1 3.540 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 3.540 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 3.540 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.540 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.540 * [taylor]: Taking taylor expansion of f in f 3.540 * [backup-simplify]: Simplify 0 into 0 3.540 * [backup-simplify]: Simplify 1 into 1 3.541 * [backup-simplify]: Simplify (/ 1 1) into 1 3.541 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.541 * [taylor]: Taking taylor expansion of n in f 3.541 * [backup-simplify]: Simplify n into n 3.541 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.541 * [backup-simplify]: Simplify (+ 1 0) into 1 3.541 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 3.541 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.541 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.541 * [taylor]: Taking taylor expansion of n in f 3.541 * [backup-simplify]: Simplify n into n 3.541 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.541 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.541 * [taylor]: Taking taylor expansion of f in f 3.541 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify (/ 1 1) into 1 3.542 * [backup-simplify]: Simplify (- 1) into -1 3.543 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.543 * [backup-simplify]: Simplify (* 1 1) into 1 3.544 * [backup-simplify]: Simplify (* -1 -1) into 1 3.544 * [backup-simplify]: Simplify (/ 1 1) into 1 3.544 * [taylor]: Taking taylor expansion of 1 in n 3.544 * [backup-simplify]: Simplify 1 into 1 3.544 * [backup-simplify]: Simplify 1 into 1 3.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.545 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.545 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 3.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.546 * [backup-simplify]: Simplify (- 0) into 0 3.547 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.547 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 3.547 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 3.547 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 3.547 * [taylor]: Taking taylor expansion of 4 in n 3.547 * [backup-simplify]: Simplify 4 into 4 3.547 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.548 * [taylor]: Taking taylor expansion of n in n 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify 1 into 1 3.548 * [backup-simplify]: Simplify (/ 1 1) into 1 3.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.550 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 3.550 * [backup-simplify]: Simplify 0 into 0 3.550 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.551 * [backup-simplify]: Simplify (+ 0 0) into 0 3.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 3.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.554 * [backup-simplify]: Simplify (- 0) into 0 3.554 * [backup-simplify]: Simplify (+ 0 0) into 0 3.555 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 3.556 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 3.556 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 3.556 * [taylor]: Taking taylor expansion of 8 in n 3.556 * [backup-simplify]: Simplify 8 into 8 3.556 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.556 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.556 * [taylor]: Taking taylor expansion of n in n 3.556 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify 1 into 1 3.556 * [backup-simplify]: Simplify (* 1 1) into 1 3.557 * [backup-simplify]: Simplify (/ 1 1) into 1 3.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.561 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 3.561 * [backup-simplify]: Simplify 0 into 0 3.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.562 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 3.562 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.563 * [backup-simplify]: Simplify (+ 0 0) into 0 3.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 3.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.564 * [backup-simplify]: Simplify (- 0) into 0 3.564 * [backup-simplify]: Simplify (+ 0 0) into 0 3.565 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 3.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 3.566 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 3.566 * [taylor]: Taking taylor expansion of 12 in n 3.566 * [backup-simplify]: Simplify 12 into 12 3.566 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.566 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.566 * [taylor]: Taking taylor expansion of n in n 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 1 into 1 3.566 * [backup-simplify]: Simplify (* 1 1) into 1 3.566 * [backup-simplify]: Simplify (* 1 1) into 1 3.567 * [backup-simplify]: Simplify (/ 1 1) into 1 3.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.571 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.572 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify 1 into 1 3.572 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.572 * [backup-simplify]: Simplify (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) into (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) 3.572 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in (f n) around 0 3.572 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in n 3.572 * [taylor]: Taking taylor expansion of -1 in n 3.572 * [backup-simplify]: Simplify -1 into -1 3.572 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 3) (pow (- f n) 3)) in n 3.572 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in n 3.572 * [taylor]: Taking taylor expansion of (+ n f) in n 3.572 * [taylor]: Taking taylor expansion of n in n 3.572 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify 1 into 1 3.572 * [taylor]: Taking taylor expansion of f in n 3.572 * [backup-simplify]: Simplify f into f 3.572 * [backup-simplify]: Simplify (+ 0 f) into f 3.572 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in n 3.572 * [taylor]: Taking taylor expansion of (- f n) in n 3.572 * [taylor]: Taking taylor expansion of f in n 3.572 * [backup-simplify]: Simplify f into f 3.572 * [taylor]: Taking taylor expansion of n in n 3.572 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify 1 into 1 3.573 * [backup-simplify]: Simplify (- 0) into 0 3.573 * [backup-simplify]: Simplify (+ f 0) into f 3.573 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.573 * [backup-simplify]: Simplify (* f (pow f 2)) into (pow f 3) 3.573 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.573 * [backup-simplify]: Simplify (* f (pow f 2)) into (pow f 3) 3.573 * [backup-simplify]: Simplify (/ (pow f 3) (pow f 3)) into 1 3.573 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in f 3.573 * [taylor]: Taking taylor expansion of -1 in f 3.573 * [backup-simplify]: Simplify -1 into -1 3.573 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 3) (pow (- f n) 3)) in f 3.573 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in f 3.573 * [taylor]: Taking taylor expansion of (+ n f) in f 3.573 * [taylor]: Taking taylor expansion of n in f 3.573 * [backup-simplify]: Simplify n into n 3.573 * [taylor]: Taking taylor expansion of f in f 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.573 * [backup-simplify]: Simplify (+ n 0) into n 3.573 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in f 3.573 * [taylor]: Taking taylor expansion of (- f n) in f 3.573 * [taylor]: Taking taylor expansion of f in f 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.573 * [taylor]: Taking taylor expansion of n in f 3.573 * [backup-simplify]: Simplify n into n 3.573 * [backup-simplify]: Simplify (- n) into (- n) 3.573 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.573 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.573 * [backup-simplify]: Simplify (* n (pow n 2)) into (pow n 3) 3.574 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 3.574 * [backup-simplify]: Simplify (* (- n) (pow n 2)) into (* -1 (pow n 3)) 3.574 * [backup-simplify]: Simplify (/ (pow n 3) (* -1 (pow n 3))) into -1 3.574 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in f 3.574 * [taylor]: Taking taylor expansion of -1 in f 3.574 * [backup-simplify]: Simplify -1 into -1 3.574 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 3) (pow (- f n) 3)) in f 3.574 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in f 3.574 * [taylor]: Taking taylor expansion of (+ n f) in f 3.574 * [taylor]: Taking taylor expansion of n in f 3.574 * [backup-simplify]: Simplify n into n 3.574 * [taylor]: Taking taylor expansion of f in f 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 1 into 1 3.574 * [backup-simplify]: Simplify (+ n 0) into n 3.574 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in f 3.574 * [taylor]: Taking taylor expansion of (- f n) in f 3.574 * [taylor]: Taking taylor expansion of f in f 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 1 into 1 3.574 * [taylor]: Taking taylor expansion of n in f 3.574 * [backup-simplify]: Simplify n into n 3.574 * [backup-simplify]: Simplify (- n) into (- n) 3.574 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.574 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.574 * [backup-simplify]: Simplify (* n (pow n 2)) into (pow n 3) 3.574 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 3.574 * [backup-simplify]: Simplify (* (- n) (pow n 2)) into (* -1 (pow n 3)) 3.574 * [backup-simplify]: Simplify (/ (pow n 3) (* -1 (pow n 3))) into -1 3.575 * [backup-simplify]: Simplify (* -1 -1) into 1 3.575 * [taylor]: Taking taylor expansion of 1 in n 3.575 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify (+ 0 1) into 1 3.575 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 3.575 * [backup-simplify]: Simplify (+ (* n (* 2 n)) (* 1 (pow n 2))) into (* 3 (pow n 2)) 3.576 * [backup-simplify]: Simplify (- 0) into 0 3.576 * [backup-simplify]: Simplify (+ 1 0) into 1 3.576 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 3.576 * [backup-simplify]: Simplify (+ (* (- n) (- (* 2 n))) (* 1 (pow n 2))) into (* 3 (pow n 2)) 3.577 * [backup-simplify]: Simplify (- (/ (* 3 (pow n 2)) (* -1 (pow n 3))) (+ (* -1 (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 6 (/ 1 n))) 3.577 * [backup-simplify]: Simplify (+ (* -1 (- (* 6 (/ 1 n)))) (* 0 -1)) into (* 6 (/ 1 n)) 3.577 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 3.577 * [taylor]: Taking taylor expansion of 6 in n 3.577 * [backup-simplify]: Simplify 6 into 6 3.577 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.577 * [taylor]: Taking taylor expansion of n in n 3.577 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify 1 into 1 3.577 * [backup-simplify]: Simplify (/ 1 1) into 1 3.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.578 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 3.578 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify (+ 0 0) into 0 3.579 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 3.579 * [backup-simplify]: Simplify (+ (* n 1) (+ (* 1 (* 2 n)) (* 0 (pow n 2)))) into (* 3 n) 3.579 * [backup-simplify]: Simplify (- 0) into 0 3.579 * [backup-simplify]: Simplify (+ 0 0) into 0 3.580 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 3.580 * [backup-simplify]: Simplify (+ (* (- n) 1) (+ (* 1 (- (* 2 n))) (* 0 (pow n 2)))) into (- (* 3 n)) 3.580 * [backup-simplify]: Simplify (- (/ (* 3 n) (* -1 (pow n 3))) (+ (* -1 (/ (- (* 3 n)) (* -1 (pow n 3)))) (* (- (* 6 (/ 1 n))) (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 18 (/ 1 (pow n 2)))) 3.581 * [backup-simplify]: Simplify (+ (* -1 (- (* 18 (/ 1 (pow n 2))))) (+ (* 0 (- (* 6 (/ 1 n)))) (* 0 -1))) into (* 18 (/ 1 (pow n 2))) 3.581 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 3.581 * [taylor]: Taking taylor expansion of 18 in n 3.581 * [backup-simplify]: Simplify 18 into 18 3.581 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.581 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.581 * [taylor]: Taking taylor expansion of n in n 3.581 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify 1 into 1 3.581 * [backup-simplify]: Simplify (* 1 1) into 1 3.581 * [backup-simplify]: Simplify (/ 1 1) into 1 3.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.584 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 3.584 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.585 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 3.585 * [backup-simplify]: Simplify 0 into 0 3.585 * [backup-simplify]: Simplify 0 into 0 3.585 * [backup-simplify]: Simplify (+ 0 0) into 0 3.586 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 3.586 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (+ (* 0 (* 2 n)) (* 0 (pow n 2))))) into 1 3.586 * [backup-simplify]: Simplify (- 0) into 0 3.586 * [backup-simplify]: Simplify (+ 0 0) into 0 3.587 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 3.587 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (+ (* 0 (- (* 2 n))) (* 0 (pow n 2))))) into 1 3.588 * [backup-simplify]: Simplify (- (/ 1 (* -1 (pow n 3))) (+ (* -1 (/ 1 (* -1 (pow n 3)))) (* (- (* 6 (/ 1 n))) (/ (- (* 3 n)) (* -1 (pow n 3)))) (* (- (* 18 (/ 1 (pow n 2)))) (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 38 (/ 1 (pow n 3)))) 3.589 * [backup-simplify]: Simplify (+ (* -1 (- (* 38 (/ 1 (pow n 3))))) (+ (* 0 (- (* 18 (/ 1 (pow n 2))))) (+ (* 0 (- (* 6 (/ 1 n)))) (* 0 -1)))) into (* 38 (/ 1 (pow n 3))) 3.589 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 3.589 * [taylor]: Taking taylor expansion of 38 in n 3.589 * [backup-simplify]: Simplify 38 into 38 3.589 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.589 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.589 * [taylor]: Taking taylor expansion of n in n 3.589 * [backup-simplify]: Simplify 0 into 0 3.589 * [backup-simplify]: Simplify 1 into 1 3.590 * [backup-simplify]: Simplify (* 1 1) into 1 3.590 * [backup-simplify]: Simplify (* 1 1) into 1 3.591 * [backup-simplify]: Simplify (/ 1 1) into 1 3.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.600 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.600 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify 1 into 1 3.601 * [backup-simplify]: Simplify (* (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) 3.601 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in (f n) around 0 3.601 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in n 3.601 * [taylor]: Taking taylor expansion of -1 in n 3.601 * [backup-simplify]: Simplify -1 into -1 3.601 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)) in n 3.601 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in n 3.601 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.601 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.601 * [taylor]: Taking taylor expansion of f in n 3.601 * [backup-simplify]: Simplify f into f 3.601 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.601 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.601 * [taylor]: Taking taylor expansion of n in n 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [backup-simplify]: Simplify (/ 1 1) into 1 3.602 * [backup-simplify]: Simplify (+ 0 1) into 1 3.602 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in n 3.602 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.602 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.602 * [taylor]: Taking taylor expansion of f in n 3.602 * [backup-simplify]: Simplify f into f 3.602 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.602 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.602 * [taylor]: Taking taylor expansion of n in n 3.602 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify 1 into 1 3.603 * [backup-simplify]: Simplify (/ 1 1) into 1 3.603 * [backup-simplify]: Simplify (- 1) into -1 3.603 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.604 * [backup-simplify]: Simplify (* 1 1) into 1 3.604 * [backup-simplify]: Simplify (* 1 1) into 1 3.604 * [backup-simplify]: Simplify (* -1 -1) into 1 3.605 * [backup-simplify]: Simplify (* -1 1) into -1 3.605 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.605 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in f 3.605 * [taylor]: Taking taylor expansion of -1 in f 3.605 * [backup-simplify]: Simplify -1 into -1 3.605 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)) in f 3.605 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 3.605 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.606 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.606 * [taylor]: Taking taylor expansion of f in f 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [backup-simplify]: Simplify (/ 1 1) into 1 3.606 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.606 * [taylor]: Taking taylor expansion of n in f 3.606 * [backup-simplify]: Simplify n into n 3.606 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.607 * [backup-simplify]: Simplify (+ 1 0) into 1 3.607 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in f 3.607 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.607 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.607 * [taylor]: Taking taylor expansion of f in f 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 1 into 1 3.607 * [backup-simplify]: Simplify (/ 1 1) into 1 3.607 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.607 * [taylor]: Taking taylor expansion of n in f 3.607 * [backup-simplify]: Simplify n into n 3.607 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.608 * [backup-simplify]: Simplify (+ 1 0) into 1 3.608 * [backup-simplify]: Simplify (* 1 1) into 1 3.608 * [backup-simplify]: Simplify (* 1 1) into 1 3.609 * [backup-simplify]: Simplify (* 1 1) into 1 3.609 * [backup-simplify]: Simplify (* 1 1) into 1 3.609 * [backup-simplify]: Simplify (/ 1 1) into 1 3.610 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in f 3.610 * [taylor]: Taking taylor expansion of -1 in f 3.610 * [backup-simplify]: Simplify -1 into -1 3.610 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)) in f 3.610 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 3.610 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.610 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.610 * [taylor]: Taking taylor expansion of f in f 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 1 into 1 3.610 * [backup-simplify]: Simplify (/ 1 1) into 1 3.610 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.610 * [taylor]: Taking taylor expansion of n in f 3.610 * [backup-simplify]: Simplify n into n 3.610 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.611 * [backup-simplify]: Simplify (+ 1 0) into 1 3.611 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in f 3.611 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.611 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.611 * [taylor]: Taking taylor expansion of f in f 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify 1 into 1 3.611 * [backup-simplify]: Simplify (/ 1 1) into 1 3.611 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.611 * [taylor]: Taking taylor expansion of n in f 3.611 * [backup-simplify]: Simplify n into n 3.611 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.612 * [backup-simplify]: Simplify (+ 1 0) into 1 3.612 * [backup-simplify]: Simplify (* 1 1) into 1 3.613 * [backup-simplify]: Simplify (* 1 1) into 1 3.613 * [backup-simplify]: Simplify (* 1 1) into 1 3.614 * [backup-simplify]: Simplify (* 1 1) into 1 3.614 * [backup-simplify]: Simplify (/ 1 1) into 1 3.614 * [backup-simplify]: Simplify (* -1 1) into -1 3.614 * [taylor]: Taking taylor expansion of -1 in n 3.615 * [backup-simplify]: Simplify -1 into -1 3.615 * [backup-simplify]: Simplify -1 into -1 3.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.615 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.616 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 3.616 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 3.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.617 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.617 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.617 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 3.617 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 n)))) (* (- (/ 1 n)) 1)) into (- (* 3 (/ 1 n))) 3.617 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 n)) 1) (+ (* 1 (/ (- (* 3 (/ 1 n))) 1)))) into (* 6 (/ 1 n)) 3.618 * [backup-simplify]: Simplify (+ (* -1 (* 6 (/ 1 n))) (* 0 1)) into (- (* 6 (/ 1 n))) 3.618 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 3.618 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 3.618 * [taylor]: Taking taylor expansion of 6 in n 3.618 * [backup-simplify]: Simplify 6 into 6 3.618 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.618 * [taylor]: Taking taylor expansion of n in n 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 1 into 1 3.618 * [backup-simplify]: Simplify (/ 1 1) into 1 3.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.620 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 3.620 * [backup-simplify]: Simplify (- 0) into 0 3.620 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.622 * [backup-simplify]: Simplify (+ 0 0) into 0 3.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 3.623 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (* 2 (/ 1 n))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 3.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.625 * [backup-simplify]: Simplify (- 0) into 0 3.625 * [backup-simplify]: Simplify (+ 0 0) into 0 3.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 3.626 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (- (/ 1 n)) (- (* 2 (/ 1 n)))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 3.626 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 (pow n 2))) 1) (+ (* 1 (/ (* 3 (/ 1 (pow n 2))) 1)) (* (* 6 (/ 1 n)) (/ (- (* 3 (/ 1 n))) 1)))) into (* 18 (/ 1 (pow n 2))) 3.627 * [backup-simplify]: Simplify (+ (* -1 (* 18 (/ 1 (pow n 2)))) (+ (* 0 (* 6 (/ 1 n))) (* 0 1))) into (- (* 18 (/ 1 (pow n 2)))) 3.627 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 3.627 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 3.627 * [taylor]: Taking taylor expansion of 18 in n 3.627 * [backup-simplify]: Simplify 18 into 18 3.627 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.627 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.627 * [taylor]: Taking taylor expansion of n in n 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 1 into 1 3.627 * [backup-simplify]: Simplify (* 1 1) into 1 3.627 * [backup-simplify]: Simplify (/ 1 1) into 1 3.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.633 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 3.633 * [backup-simplify]: Simplify (- 0) into 0 3.633 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.634 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 3.635 * [backup-simplify]: Simplify (- 0) into 0 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.636 * [backup-simplify]: Simplify (+ 0 0) into 0 3.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 3.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 (pow n 2))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (/ 1 (pow n 3)) 3.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.638 * [backup-simplify]: Simplify (- 0) into 0 3.638 * [backup-simplify]: Simplify (+ 0 0) into 0 3.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 3.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (/ 1 (pow n 2))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1)))) into (- (/ 1 (pow n 3))) 3.640 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 3)) 1) (+ (* 1 (/ (- (/ 1 (pow n 3))) 1)) (* (* 6 (/ 1 n)) (/ (* 3 (/ 1 (pow n 2))) 1)) (* (* 18 (/ 1 (pow n 2))) (/ (- (* 3 (/ 1 n))) 1)))) into (* 38 (/ 1 (pow n 3))) 3.641 * [backup-simplify]: Simplify (+ (* -1 (* 38 (/ 1 (pow n 3)))) (+ (* 0 (* 18 (/ 1 (pow n 2)))) (+ (* 0 (* 6 (/ 1 n))) (* 0 1)))) into (- (* 38 (/ 1 (pow n 3)))) 3.641 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 3.641 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 3.641 * [taylor]: Taking taylor expansion of 38 in n 3.641 * [backup-simplify]: Simplify 38 into 38 3.641 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.641 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.641 * [taylor]: Taking taylor expansion of n in n 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 1 into 1 3.641 * [backup-simplify]: Simplify (* 1 1) into 1 3.641 * [backup-simplify]: Simplify (* 1 1) into 1 3.641 * [backup-simplify]: Simplify (/ 1 1) into 1 3.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (- 0) into 0 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify -1 into -1 3.647 * [backup-simplify]: Simplify (* (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) 3.647 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in (f n) around 0 3.647 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in n 3.647 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in n 3.647 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.648 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.648 * [taylor]: Taking taylor expansion of f in n 3.648 * [backup-simplify]: Simplify f into f 3.648 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.648 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.648 * [taylor]: Taking taylor expansion of n in n 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify 1 into 1 3.648 * [backup-simplify]: Simplify (/ 1 1) into 1 3.648 * [backup-simplify]: Simplify (+ 0 1) into 1 3.648 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in n 3.648 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.648 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.648 * [taylor]: Taking taylor expansion of n in n 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify 1 into 1 3.649 * [backup-simplify]: Simplify (/ 1 1) into 1 3.649 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.649 * [taylor]: Taking taylor expansion of f in n 3.649 * [backup-simplify]: Simplify f into f 3.649 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.649 * [backup-simplify]: Simplify (+ 1 0) into 1 3.649 * [backup-simplify]: Simplify (* 1 1) into 1 3.649 * [backup-simplify]: Simplify (* 1 1) into 1 3.650 * [backup-simplify]: Simplify (* 1 1) into 1 3.650 * [backup-simplify]: Simplify (* 1 1) into 1 3.650 * [backup-simplify]: Simplify (/ 1 1) into 1 3.650 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in f 3.650 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 3.650 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.650 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.650 * [taylor]: Taking taylor expansion of f in f 3.650 * [backup-simplify]: Simplify 0 into 0 3.650 * [backup-simplify]: Simplify 1 into 1 3.650 * [backup-simplify]: Simplify (/ 1 1) into 1 3.650 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.650 * [taylor]: Taking taylor expansion of n in f 3.650 * [backup-simplify]: Simplify n into n 3.651 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.651 * [backup-simplify]: Simplify (+ 1 0) into 1 3.651 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in f 3.651 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.651 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.651 * [taylor]: Taking taylor expansion of n in f 3.651 * [backup-simplify]: Simplify n into n 3.651 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.651 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.651 * [taylor]: Taking taylor expansion of f in f 3.651 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify 1 into 1 3.651 * [backup-simplify]: Simplify (/ 1 1) into 1 3.652 * [backup-simplify]: Simplify (- 1) into -1 3.652 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.652 * [backup-simplify]: Simplify (* 1 1) into 1 3.652 * [backup-simplify]: Simplify (* 1 1) into 1 3.653 * [backup-simplify]: Simplify (* -1 -1) into 1 3.653 * [backup-simplify]: Simplify (* -1 1) into -1 3.654 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.654 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in f 3.654 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 3.654 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.654 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.654 * [taylor]: Taking taylor expansion of f in f 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 1 into 1 3.654 * [backup-simplify]: Simplify (/ 1 1) into 1 3.654 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.654 * [taylor]: Taking taylor expansion of n in f 3.654 * [backup-simplify]: Simplify n into n 3.655 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.655 * [backup-simplify]: Simplify (+ 1 0) into 1 3.655 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in f 3.655 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.655 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.655 * [taylor]: Taking taylor expansion of n in f 3.655 * [backup-simplify]: Simplify n into n 3.655 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.655 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.655 * [taylor]: Taking taylor expansion of f in f 3.655 * [backup-simplify]: Simplify 0 into 0 3.655 * [backup-simplify]: Simplify 1 into 1 3.656 * [backup-simplify]: Simplify (/ 1 1) into 1 3.656 * [backup-simplify]: Simplify (- 1) into -1 3.657 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.658 * [backup-simplify]: Simplify (* 1 1) into 1 3.658 * [backup-simplify]: Simplify (* 1 1) into 1 3.659 * [backup-simplify]: Simplify (* -1 -1) into 1 3.659 * [backup-simplify]: Simplify (* -1 1) into -1 3.660 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.660 * [taylor]: Taking taylor expansion of -1 in n 3.660 * [backup-simplify]: Simplify -1 into -1 3.660 * [backup-simplify]: Simplify -1 into -1 3.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.661 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.661 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 3.661 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 3.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.662 * [backup-simplify]: Simplify (- 0) into 0 3.663 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.663 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 3.663 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 3.663 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 n)) -1) (+ (* -1 (/ (* 3 (/ 1 n)) -1)))) into (- (* 6 (/ 1 n))) 3.663 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 3.663 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 3.663 * [taylor]: Taking taylor expansion of 6 in n 3.663 * [backup-simplify]: Simplify 6 into 6 3.663 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.663 * [taylor]: Taking taylor expansion of n in n 3.663 * [backup-simplify]: Simplify 0 into 0 3.663 * [backup-simplify]: Simplify 1 into 1 3.664 * [backup-simplify]: Simplify (/ 1 1) into 1 3.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.665 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 3.666 * [backup-simplify]: Simplify (- 0) into 0 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.667 * [backup-simplify]: Simplify (+ 0 0) into 0 3.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 3.669 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (* 2 (/ 1 n))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 3.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.670 * [backup-simplify]: Simplify (- 0) into 0 3.671 * [backup-simplify]: Simplify (+ 0 0) into 0 3.672 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 3.672 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 3 (/ 1 (pow n 2)))) 3.673 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 (pow n 2))) -1) (+ (* -1 (/ (- (* 3 (/ 1 (pow n 2)))) -1)) (* (- (* 6 (/ 1 n))) (/ (* 3 (/ 1 n)) -1)))) into (- (* 18 (/ 1 (pow n 2)))) 3.673 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 3.673 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 3.673 * [taylor]: Taking taylor expansion of 18 in n 3.673 * [backup-simplify]: Simplify 18 into 18 3.673 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.673 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.674 * [taylor]: Taking taylor expansion of n in n 3.674 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify 1 into 1 3.674 * [backup-simplify]: Simplify (* 1 1) into 1 3.674 * [backup-simplify]: Simplify (/ 1 1) into 1 3.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.679 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 3.679 * [backup-simplify]: Simplify (- 0) into 0 3.679 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.681 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 3.681 * [backup-simplify]: Simplify (- 0) into 0 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.682 * [backup-simplify]: Simplify (+ 0 0) into 0 3.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 3.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 (pow n 2))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (/ 1 (pow n 3)) 3.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.684 * [backup-simplify]: Simplify (- 0) into 0 3.684 * [backup-simplify]: Simplify (+ 0 0) into 0 3.685 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 3.685 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 (pow n 2))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1)))) into (/ 1 (pow n 3)) 3.686 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 3)) -1) (+ (* -1 (/ (/ 1 (pow n 3)) -1)) (* (- (* 6 (/ 1 n))) (/ (- (* 3 (/ 1 (pow n 2)))) -1)) (* (- (* 18 (/ 1 (pow n 2)))) (/ (* 3 (/ 1 n)) -1)))) into (- (* 38 (/ 1 (pow n 3)))) 3.686 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 3.686 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 3.686 * [taylor]: Taking taylor expansion of 38 in n 3.686 * [backup-simplify]: Simplify 38 into 38 3.686 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.686 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.686 * [taylor]: Taking taylor expansion of n in n 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 1 into 1 3.686 * [backup-simplify]: Simplify (* 1 1) into 1 3.687 * [backup-simplify]: Simplify (* 1 1) into 1 3.687 * [backup-simplify]: Simplify (/ 1 1) into 1 3.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.692 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.692 * [backup-simplify]: Simplify (- 0) into 0 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify -1 into -1 3.692 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.692 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 3.692 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.692 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.692 * [taylor]: Taking taylor expansion of -1 in n 3.692 * [backup-simplify]: Simplify -1 into -1 3.692 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.692 * [taylor]: Taking taylor expansion of (+ n f) in n 3.692 * [taylor]: Taking taylor expansion of n in n 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 1 into 1 3.692 * [taylor]: Taking taylor expansion of f in n 3.693 * [backup-simplify]: Simplify f into f 3.693 * [taylor]: Taking taylor expansion of (- f n) in n 3.693 * [taylor]: Taking taylor expansion of f in n 3.693 * [backup-simplify]: Simplify f into f 3.693 * [taylor]: Taking taylor expansion of n in n 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify 1 into 1 3.693 * [backup-simplify]: Simplify (+ 0 f) into f 3.693 * [backup-simplify]: Simplify (- 0) into 0 3.693 * [backup-simplify]: Simplify (+ f 0) into f 3.693 * [backup-simplify]: Simplify (/ f f) into 1 3.693 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.693 * [taylor]: Taking taylor expansion of -1 in f 3.693 * [backup-simplify]: Simplify -1 into -1 3.693 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.693 * [taylor]: Taking taylor expansion of (+ n f) in f 3.693 * [taylor]: Taking taylor expansion of n in f 3.693 * [backup-simplify]: Simplify n into n 3.693 * [taylor]: Taking taylor expansion of f in f 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify 1 into 1 3.693 * [taylor]: Taking taylor expansion of (- f n) in f 3.693 * [taylor]: Taking taylor expansion of f in f 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify 1 into 1 3.693 * [taylor]: Taking taylor expansion of n in f 3.693 * [backup-simplify]: Simplify n into n 3.693 * [backup-simplify]: Simplify (+ n 0) into n 3.693 * [backup-simplify]: Simplify (- n) into (- n) 3.693 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.693 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.693 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.693 * [taylor]: Taking taylor expansion of -1 in f 3.693 * [backup-simplify]: Simplify -1 into -1 3.693 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.693 * [taylor]: Taking taylor expansion of (+ n f) in f 3.693 * [taylor]: Taking taylor expansion of n in f 3.693 * [backup-simplify]: Simplify n into n 3.693 * [taylor]: Taking taylor expansion of f in f 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify 1 into 1 3.693 * [taylor]: Taking taylor expansion of (- f n) in f 3.693 * [taylor]: Taking taylor expansion of f in f 3.693 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 1 into 1 3.694 * [taylor]: Taking taylor expansion of n in f 3.694 * [backup-simplify]: Simplify n into n 3.694 * [backup-simplify]: Simplify (+ n 0) into n 3.694 * [backup-simplify]: Simplify (- n) into (- n) 3.694 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.694 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.694 * [backup-simplify]: Simplify (* -1 -1) into 1 3.694 * [taylor]: Taking taylor expansion of 1 in n 3.694 * [backup-simplify]: Simplify 1 into 1 3.694 * [backup-simplify]: Simplify 1 into 1 3.694 * [backup-simplify]: Simplify (+ 0 1) into 1 3.695 * [backup-simplify]: Simplify (- 0) into 0 3.695 * [backup-simplify]: Simplify (+ 1 0) into 1 3.695 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.695 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.695 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.695 * [taylor]: Taking taylor expansion of 2 in n 3.695 * [backup-simplify]: Simplify 2 into 2 3.695 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.695 * [taylor]: Taking taylor expansion of n in n 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify 1 into 1 3.696 * [backup-simplify]: Simplify (/ 1 1) into 1 3.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.696 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify (+ 0 0) into 0 3.697 * [backup-simplify]: Simplify (- 0) into 0 3.697 * [backup-simplify]: Simplify (+ 0 0) into 0 3.697 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.698 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.698 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.698 * [taylor]: Taking taylor expansion of 2 in n 3.698 * [backup-simplify]: Simplify 2 into 2 3.698 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.698 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.698 * [taylor]: Taking taylor expansion of n in n 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.698 * [backup-simplify]: Simplify (* 1 1) into 1 3.698 * [backup-simplify]: Simplify (/ 1 1) into 1 3.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.701 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.702 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.702 * [backup-simplify]: Simplify 0 into 0 3.702 * [backup-simplify]: Simplify 0 into 0 3.702 * [backup-simplify]: Simplify (+ 0 0) into 0 3.702 * [backup-simplify]: Simplify (- 0) into 0 3.703 * [backup-simplify]: Simplify (+ 0 0) into 0 3.703 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 3.704 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 3.704 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.704 * [taylor]: Taking taylor expansion of 2 in n 3.704 * [backup-simplify]: Simplify 2 into 2 3.704 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.704 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.704 * [taylor]: Taking taylor expansion of n in n 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 1 into 1 3.704 * [backup-simplify]: Simplify (* 1 1) into 1 3.704 * [backup-simplify]: Simplify (* 1 1) into 1 3.704 * [backup-simplify]: Simplify (/ 1 1) into 1 3.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.711 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.711 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify 1 into 1 3.711 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.711 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.711 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.711 * [taylor]: Taking taylor expansion of -1 in n 3.711 * [backup-simplify]: Simplify -1 into -1 3.711 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.711 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.711 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.711 * [taylor]: Taking taylor expansion of f in n 3.711 * [backup-simplify]: Simplify f into f 3.711 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.711 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.711 * [taylor]: Taking taylor expansion of n in n 3.711 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify 1 into 1 3.712 * [backup-simplify]: Simplify (/ 1 1) into 1 3.712 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.712 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.712 * [taylor]: Taking taylor expansion of f in n 3.712 * [backup-simplify]: Simplify f into f 3.712 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.712 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.712 * [taylor]: Taking taylor expansion of n in n 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify 1 into 1 3.712 * [backup-simplify]: Simplify (/ 1 1) into 1 3.713 * [backup-simplify]: Simplify (+ 0 1) into 1 3.713 * [backup-simplify]: Simplify (- 1) into -1 3.714 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.714 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.714 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.714 * [taylor]: Taking taylor expansion of -1 in f 3.714 * [backup-simplify]: Simplify -1 into -1 3.714 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.714 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.714 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.714 * [taylor]: Taking taylor expansion of f in f 3.714 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify 1 into 1 3.715 * [backup-simplify]: Simplify (/ 1 1) into 1 3.715 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.715 * [taylor]: Taking taylor expansion of n in f 3.715 * [backup-simplify]: Simplify n into n 3.715 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.715 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.715 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.715 * [taylor]: Taking taylor expansion of f in f 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify 1 into 1 3.716 * [backup-simplify]: Simplify (/ 1 1) into 1 3.716 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.716 * [taylor]: Taking taylor expansion of n in f 3.716 * [backup-simplify]: Simplify n into n 3.716 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.716 * [backup-simplify]: Simplify (+ 1 0) into 1 3.717 * [backup-simplify]: Simplify (+ 1 0) into 1 3.717 * [backup-simplify]: Simplify (/ 1 1) into 1 3.717 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.717 * [taylor]: Taking taylor expansion of -1 in f 3.717 * [backup-simplify]: Simplify -1 into -1 3.717 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.717 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.717 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.717 * [taylor]: Taking taylor expansion of f in f 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify 1 into 1 3.718 * [backup-simplify]: Simplify (/ 1 1) into 1 3.718 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.718 * [taylor]: Taking taylor expansion of n in f 3.718 * [backup-simplify]: Simplify n into n 3.718 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.718 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.718 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.718 * [taylor]: Taking taylor expansion of f in f 3.718 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify 1 into 1 3.718 * [backup-simplify]: Simplify (/ 1 1) into 1 3.719 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.719 * [taylor]: Taking taylor expansion of n in f 3.719 * [backup-simplify]: Simplify n into n 3.719 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.719 * [backup-simplify]: Simplify (+ 1 0) into 1 3.720 * [backup-simplify]: Simplify (+ 1 0) into 1 3.720 * [backup-simplify]: Simplify (/ 1 1) into 1 3.720 * [backup-simplify]: Simplify (* -1 1) into -1 3.720 * [taylor]: Taking taylor expansion of -1 in n 3.721 * [backup-simplify]: Simplify -1 into -1 3.721 * [backup-simplify]: Simplify -1 into -1 3.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.721 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.722 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.722 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.723 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.723 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.723 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.723 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.723 * [taylor]: Taking taylor expansion of 2 in n 3.723 * [backup-simplify]: Simplify 2 into 2 3.723 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.723 * [taylor]: Taking taylor expansion of n in n 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.724 * [backup-simplify]: Simplify (/ 1 1) into 1 3.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.725 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.725 * [backup-simplify]: Simplify (- 0) into 0 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.726 * [backup-simplify]: Simplify (+ 0 0) into 0 3.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.727 * [backup-simplify]: Simplify (- 0) into 0 3.727 * [backup-simplify]: Simplify (+ 0 0) into 0 3.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.728 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.728 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.728 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.728 * [taylor]: Taking taylor expansion of 2 in n 3.728 * [backup-simplify]: Simplify 2 into 2 3.728 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.728 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.728 * [taylor]: Taking taylor expansion of n in n 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [backup-simplify]: Simplify (* 1 1) into 1 3.729 * [backup-simplify]: Simplify (/ 1 1) into 1 3.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.731 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.731 * [backup-simplify]: Simplify (- 0) into 0 3.731 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.732 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.733 * [backup-simplify]: Simplify (- 0) into 0 3.733 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.734 * [backup-simplify]: Simplify (+ 0 0) into 0 3.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.734 * [backup-simplify]: Simplify (- 0) into 0 3.735 * [backup-simplify]: Simplify (+ 0 0) into 0 3.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 3.741 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.741 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.741 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.741 * [taylor]: Taking taylor expansion of 2 in n 3.741 * [backup-simplify]: Simplify 2 into 2 3.741 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.741 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.741 * [taylor]: Taking taylor expansion of n in n 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify 1 into 1 3.741 * [backup-simplify]: Simplify (* 1 1) into 1 3.741 * [backup-simplify]: Simplify (* 1 1) into 1 3.741 * [backup-simplify]: Simplify (/ 1 1) into 1 3.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.746 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.747 * [backup-simplify]: Simplify (- 0) into 0 3.747 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify -1 into -1 3.747 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.747 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.747 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.747 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.747 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.747 * [taylor]: Taking taylor expansion of f in n 3.747 * [backup-simplify]: Simplify f into f 3.747 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.747 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.747 * [taylor]: Taking taylor expansion of n in n 3.747 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify 1 into 1 3.747 * [backup-simplify]: Simplify (/ 1 1) into 1 3.747 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.747 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.747 * [taylor]: Taking taylor expansion of n in n 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify 1 into 1 3.748 * [backup-simplify]: Simplify (/ 1 1) into 1 3.748 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.748 * [taylor]: Taking taylor expansion of f in n 3.748 * [backup-simplify]: Simplify f into f 3.748 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.748 * [backup-simplify]: Simplify (+ 0 1) into 1 3.748 * [backup-simplify]: Simplify (+ 1 0) into 1 3.749 * [backup-simplify]: Simplify (/ 1 1) into 1 3.749 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.749 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.749 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.749 * [taylor]: Taking taylor expansion of f in f 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify 1 into 1 3.749 * [backup-simplify]: Simplify (/ 1 1) into 1 3.749 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.749 * [taylor]: Taking taylor expansion of n in f 3.749 * [backup-simplify]: Simplify n into n 3.749 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.749 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.749 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.749 * [taylor]: Taking taylor expansion of n in f 3.749 * [backup-simplify]: Simplify n into n 3.749 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.749 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.749 * [taylor]: Taking taylor expansion of f in f 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify 1 into 1 3.749 * [backup-simplify]: Simplify (/ 1 1) into 1 3.750 * [backup-simplify]: Simplify (+ 1 0) into 1 3.750 * [backup-simplify]: Simplify (- 1) into -1 3.750 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.750 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.750 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.751 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.751 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.751 * [taylor]: Taking taylor expansion of f in f 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [backup-simplify]: Simplify (/ 1 1) into 1 3.751 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.751 * [taylor]: Taking taylor expansion of n in f 3.751 * [backup-simplify]: Simplify n into n 3.751 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.751 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.751 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.751 * [taylor]: Taking taylor expansion of n in f 3.751 * [backup-simplify]: Simplify n into n 3.751 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.751 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.751 * [taylor]: Taking taylor expansion of f in f 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [backup-simplify]: Simplify (/ 1 1) into 1 3.752 * [backup-simplify]: Simplify (+ 1 0) into 1 3.752 * [backup-simplify]: Simplify (- 1) into -1 3.752 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.752 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.753 * [taylor]: Taking taylor expansion of -1 in n 3.753 * [backup-simplify]: Simplify -1 into -1 3.753 * [backup-simplify]: Simplify -1 into -1 3.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.754 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.755 * [backup-simplify]: Simplify (- 0) into 0 3.755 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.755 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.755 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.755 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.755 * [taylor]: Taking taylor expansion of 2 in n 3.755 * [backup-simplify]: Simplify 2 into 2 3.755 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.755 * [taylor]: Taking taylor expansion of n in n 3.755 * [backup-simplify]: Simplify 0 into 0 3.755 * [backup-simplify]: Simplify 1 into 1 3.756 * [backup-simplify]: Simplify (/ 1 1) into 1 3.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.757 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.757 * [backup-simplify]: Simplify (- 0) into 0 3.757 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.759 * [backup-simplify]: Simplify (+ 0 0) into 0 3.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.760 * [backup-simplify]: Simplify (- 0) into 0 3.761 * [backup-simplify]: Simplify (+ 0 0) into 0 3.762 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.762 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.762 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.762 * [taylor]: Taking taylor expansion of 2 in n 3.762 * [backup-simplify]: Simplify 2 into 2 3.762 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.762 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.762 * [taylor]: Taking taylor expansion of n in n 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 1 into 1 3.763 * [backup-simplify]: Simplify (* 1 1) into 1 3.763 * [backup-simplify]: Simplify (/ 1 1) into 1 3.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.767 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.767 * [backup-simplify]: Simplify (- 0) into 0 3.767 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.769 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.769 * [backup-simplify]: Simplify (- 0) into 0 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.770 * [backup-simplify]: Simplify (+ 0 0) into 0 3.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.771 * [backup-simplify]: Simplify (- 0) into 0 3.771 * [backup-simplify]: Simplify (+ 0 0) into 0 3.772 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.772 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.772 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.772 * [taylor]: Taking taylor expansion of 2 in n 3.772 * [backup-simplify]: Simplify 2 into 2 3.772 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.772 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.772 * [taylor]: Taking taylor expansion of n in n 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify 1 into 1 3.773 * [backup-simplify]: Simplify (* 1 1) into 1 3.773 * [backup-simplify]: Simplify (* 1 1) into 1 3.773 * [backup-simplify]: Simplify (/ 1 1) into 1 3.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.778 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.778 * [backup-simplify]: Simplify (- 0) into 0 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify -1 into -1 3.779 * * * [progress]: simplifying candidates 3.787 * [simplify]: Simplifying: (log (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (exp (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (cbrt (* (* (- (+ f n)) (- (+ f n))) (- (+ f n)))) (cbrt (* (* (- f n) (- f n)) (- f n))) (cbrt (* (* (/ (- (+ f n)) (- f n)) (- (+ f n))) (- (+ f n)))) (cbrt (* (- f n) (- f n))) (cbrt (* (* (- (+ f n)) (/ (- (+ f n)) (- f n))) (- (+ f n)))) (cbrt (* (- f n) (- f n))) (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (- (+ f n)))) (cbrt (- f n)) (cbrt (* (* (- (+ f n)) (- (+ f n))) (/ (- (+ f n)) (- f n)))) (cbrt (* (- f n) (- f n))) (cbrt (* (* (/ (- (+ f n)) (- f n)) (- (+ f n))) (/ (- (+ f n)) (- f n)))) (cbrt (- f n)) (cbrt (* (* (- (+ f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) (cbrt (- f n)) (* (cbrt (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (cbrt (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))))) (cbrt (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (* (* (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (sqrt (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (sqrt (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (+ 1 1) 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n))) (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) (* (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))) (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (sqrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (sqrt (* (/ (- (+ 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))) (cbrt (/ (- (+ f n)) (- f n))))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n)))) (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ 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))))) (* (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (cbrt (- (+ f n))) (cbrt (- f n)))) (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n)))) (* (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n)))) (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1)) (* (/ (cbrt (- (+ f n))) (- f n)) (/ (cbrt (- (+ f n))) (- f n))) (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1)) (* (/ (cbrt (- (+ f n))) (- f n)) (/ (cbrt (- (+ f n))) (- f n))) (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n)))) (* (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n)))) (* (/ (* (cbrt (- (+ f 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f) (- f n))) (- (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (sqrt (- f n))) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (+ (sqrt f) (sqrt n))) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (- (* (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))) (/ (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (+ n f)) (- (cbrt (+ n f))))) (sqrt (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (+ n f)) (- (cbrt (+ n f))))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt f) (sqrt n))))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (+ n f)) (- (cbrt (+ n f))))) (- (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))))) (- (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))))) (* (- (sqrt (+ n f))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (* (- (sqrt (+ n f))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (+ (sqrt f) (sqrt n))) (* (- (sqrt (+ n f))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (- (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (sqrt (- f n))) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (+ (sqrt f) (sqrt n))) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (- (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (sqrt (- f n))) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (+ (sqrt f) (sqrt n))) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (/ (* (cbrt (+ n f)) (/ (- (+ n f)) (- f n))) (cbrt (- f n))) (/ (* (cbrt (+ n f)) (/ (- (+ n f)) (- f n))) (cbrt (- f n)))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f))))) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (* (* (cbrt (+ n f)) (cbrt (+ n f))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (+ (sqrt f) (sqrt n))) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (* (sqrt (+ n f)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (sqrt (+ n f)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (sqrt (- f n))) (* (sqrt (+ n f)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (* (sqrt (+ n f)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (+ (sqrt f) (sqrt n))) (* (sqrt (+ n f)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (sqrt (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (+ (sqrt f) (sqrt n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (sqrt (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (+ (sqrt f) (sqrt n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (+ n f))) (/ (- (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (+ n f))) (- (* (* f f) f) (* (* n n) n))) (* (/ (- (+ n f)) (- f n)) (* (/ (/ (- (+ n f)) (- f n)) (+ n f)) (/ (- (+ n f)) (- f n)))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (+ n f))) (* (/ (* (+ n f) (+ n f)) (- f n)) (- (+ n f))) (- (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (+ n f))) (- (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (+ n f))) (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (- (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) (cbrt (/ (- (+ n f)) (- f n))) (- (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) (sqrt (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (+ n f) (- (- f n)) 0 (/ (+ n f) (- f n)) (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))) (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (sqrt (- f n))) (/ (cbrt (- (+ n f))) (sqrt (- f n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ n f))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (cbrt (+ n f)) (cbrt (- f n))) (- (* (cbrt (+ n f)) (/ (cbrt (+ n f)) (sqrt (- f n))))) (/ (cbrt (+ n f)) (sqrt (- f n))) (* (cbrt (+ n f)) (- (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt f) (sqrt n)))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (* (cbrt (+ n f)) (- (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (- (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt (+ n f)) (cbrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ (- (sqrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (- (cbrt (+ n f))) (cbrt (- f n))) (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f)))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ n f))) (cbrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) (/ (sqrt (+ n f)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (- (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (sqrt (- f n))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt f) (sqrt n))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (/ (- (+ n f)) (- (* (* f f) f) (* (* n n) n))) (/ (- (+ n f)) (* (+ n f) (- f n))) (* (- f n) (+ (* n (- n f)) (* f f))) (* (- f n) (- f n)) (- (cbrt -1)) (cbrt -1) -1 1 1 1 1 -1 -1 1 -1 -1 5.451 * * * [progress]: adding candidates to table 7.493 * * [progress]: iteration 3 / 4 7.493 * * * [progress]: picking best candidate 7.497 * * * * [pick]: Picked # 7.497 * * * [progress]: localizing error 7.524 * * * [progress]: generating rewritten candidates 7.524 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 7.710 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.743 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 7.764 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.837 * * * [progress]: generating series expansions 7.837 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 7.838 * [backup-simplify]: Simplify (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) into (/ (pow (+ n f) 2) (pow (- f n) 2)) 7.838 * [approximate]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in (f n) around 0 7.838 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 7.838 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 7.838 * [taylor]: Taking taylor expansion of (+ n f) in n 7.838 * [taylor]: Taking taylor expansion of n in n 7.838 * [backup-simplify]: Simplify 0 into 0 7.838 * [backup-simplify]: Simplify 1 into 1 7.838 * [taylor]: Taking taylor expansion of f in n 7.838 * [backup-simplify]: Simplify f into f 7.838 * [backup-simplify]: Simplify (+ 0 f) into f 7.838 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 7.838 * [taylor]: Taking taylor expansion of (- f n) in n 7.838 * [taylor]: Taking taylor expansion of f in n 7.838 * [backup-simplify]: Simplify f into f 7.838 * [taylor]: Taking taylor expansion of n in n 7.838 * [backup-simplify]: Simplify 0 into 0 7.838 * [backup-simplify]: Simplify 1 into 1 7.839 * [backup-simplify]: Simplify (- 0) into 0 7.839 * [backup-simplify]: Simplify (+ f 0) into f 7.839 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.839 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.839 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 7.839 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 7.839 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 7.839 * [taylor]: Taking taylor expansion of (+ n f) in f 7.839 * [taylor]: Taking taylor expansion of n in f 7.839 * [backup-simplify]: Simplify n into n 7.839 * [taylor]: Taking taylor expansion of f in f 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 1 into 1 7.839 * [backup-simplify]: Simplify (+ n 0) into n 7.839 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 7.839 * [taylor]: Taking taylor expansion of (- f n) in f 7.839 * [taylor]: Taking taylor expansion of f in f 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 1 into 1 7.839 * [taylor]: Taking taylor expansion of n in f 7.839 * [backup-simplify]: Simplify n into n 7.839 * [backup-simplify]: Simplify (- n) into (- n) 7.839 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.839 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.839 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 7.839 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 7.839 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 7.839 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 7.840 * [taylor]: Taking taylor expansion of (+ n f) in f 7.840 * [taylor]: Taking taylor expansion of n in f 7.840 * [backup-simplify]: Simplify n into n 7.840 * [taylor]: Taking taylor expansion of f in f 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [backup-simplify]: Simplify (+ n 0) into n 7.840 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 7.840 * [taylor]: Taking taylor expansion of (- f n) in f 7.840 * [taylor]: Taking taylor expansion of f in f 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [taylor]: Taking taylor expansion of n in f 7.840 * [backup-simplify]: Simplify n into n 7.840 * [backup-simplify]: Simplify (- n) into (- n) 7.840 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.840 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.840 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 7.840 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 7.840 * [taylor]: Taking taylor expansion of 1 in n 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [backup-simplify]: Simplify (+ 0 1) into 1 7.841 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 7.841 * [backup-simplify]: Simplify (- 0) into 0 7.841 * [backup-simplify]: Simplify (+ 1 0) into 1 7.841 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 7.841 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 7.841 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 7.841 * [taylor]: Taking taylor expansion of 4 in n 7.841 * [backup-simplify]: Simplify 4 into 4 7.841 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.841 * [taylor]: Taking taylor expansion of n in n 7.841 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify 1 into 1 7.842 * [backup-simplify]: Simplify (/ 1 1) into 1 7.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.843 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 7.843 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify (+ 0 0) into 0 7.843 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 7.843 * [backup-simplify]: Simplify (- 0) into 0 7.844 * [backup-simplify]: Simplify (+ 0 0) into 0 7.844 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 7.845 * [backup-simplify]: Simplify (- (/ 1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 4 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 8 (/ 1 (pow n 2))) 7.845 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 7.845 * [taylor]: Taking taylor expansion of 8 in n 7.845 * [backup-simplify]: Simplify 8 into 8 7.845 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.845 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.845 * [taylor]: Taking taylor expansion of n in n 7.845 * [backup-simplify]: Simplify 0 into 0 7.845 * [backup-simplify]: Simplify 1 into 1 7.845 * [backup-simplify]: Simplify (* 1 1) into 1 7.845 * [backup-simplify]: Simplify (/ 1 1) into 1 7.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.849 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 7.849 * [backup-simplify]: Simplify 0 into 0 7.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.851 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 7.851 * [backup-simplify]: Simplify 0 into 0 7.851 * [backup-simplify]: Simplify 0 into 0 7.851 * [backup-simplify]: Simplify (+ 0 0) into 0 7.852 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 7.852 * [backup-simplify]: Simplify (- 0) into 0 7.853 * [backup-simplify]: Simplify (+ 0 0) into 0 7.854 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 7.854 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 4 (/ 1 n)) (/ 1 (pow n 2))) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 12 (/ 1 (pow n 3))) 7.854 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 7.855 * [taylor]: Taking taylor expansion of 12 in n 7.855 * [backup-simplify]: Simplify 12 into 12 7.855 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.855 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.855 * [taylor]: Taking taylor expansion of n in n 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify 1 into 1 7.855 * [backup-simplify]: Simplify (* 1 1) into 1 7.856 * [backup-simplify]: Simplify (* 1 1) into 1 7.856 * [backup-simplify]: Simplify (/ 1 1) into 1 7.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.862 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.862 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify 1 into 1 7.862 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 7.862 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 7.862 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 7.862 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.862 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.862 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.862 * [taylor]: Taking taylor expansion of f in n 7.862 * [backup-simplify]: Simplify f into f 7.863 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.863 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.863 * [taylor]: Taking taylor expansion of n in n 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify 1 into 1 7.863 * [backup-simplify]: Simplify (/ 1 1) into 1 7.863 * [backup-simplify]: Simplify (+ 0 1) into 1 7.863 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 7.863 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.863 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.863 * [taylor]: Taking taylor expansion of f in n 7.863 * [backup-simplify]: Simplify f into f 7.863 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.863 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.863 * [taylor]: Taking taylor expansion of n in n 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify 1 into 1 7.864 * [backup-simplify]: Simplify (/ 1 1) into 1 7.864 * [backup-simplify]: Simplify (- 1) into -1 7.864 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.864 * [backup-simplify]: Simplify (* 1 1) into 1 7.865 * [backup-simplify]: Simplify (* -1 -1) into 1 7.865 * [backup-simplify]: Simplify (/ 1 1) into 1 7.865 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 7.865 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.865 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.865 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.865 * [taylor]: Taking taylor expansion of f in f 7.865 * [backup-simplify]: Simplify 0 into 0 7.865 * [backup-simplify]: Simplify 1 into 1 7.865 * [backup-simplify]: Simplify (/ 1 1) into 1 7.865 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.865 * [taylor]: Taking taylor expansion of n in f 7.865 * [backup-simplify]: Simplify n into n 7.865 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.865 * [backup-simplify]: Simplify (+ 1 0) into 1 7.866 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 7.866 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.866 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.866 * [taylor]: Taking taylor expansion of f in f 7.866 * [backup-simplify]: Simplify 0 into 0 7.866 * [backup-simplify]: Simplify 1 into 1 7.866 * [backup-simplify]: Simplify (/ 1 1) into 1 7.866 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.866 * [taylor]: Taking taylor expansion of n in f 7.866 * [backup-simplify]: Simplify n into n 7.866 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.866 * [backup-simplify]: Simplify (+ 1 0) into 1 7.866 * [backup-simplify]: Simplify (* 1 1) into 1 7.867 * [backup-simplify]: Simplify (* 1 1) into 1 7.867 * [backup-simplify]: Simplify (/ 1 1) into 1 7.867 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 7.867 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.867 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.867 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.867 * [taylor]: Taking taylor expansion of f in f 7.867 * [backup-simplify]: Simplify 0 into 0 7.867 * [backup-simplify]: Simplify 1 into 1 7.867 * [backup-simplify]: Simplify (/ 1 1) into 1 7.867 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.867 * [taylor]: Taking taylor expansion of n in f 7.867 * [backup-simplify]: Simplify n into n 7.867 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.868 * [backup-simplify]: Simplify (+ 1 0) into 1 7.868 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 7.868 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.868 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.868 * [taylor]: Taking taylor expansion of f in f 7.868 * [backup-simplify]: Simplify 0 into 0 7.868 * [backup-simplify]: Simplify 1 into 1 7.868 * [backup-simplify]: Simplify (/ 1 1) into 1 7.868 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.868 * [taylor]: Taking taylor expansion of n in f 7.868 * [backup-simplify]: Simplify n into n 7.868 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.868 * [backup-simplify]: Simplify (+ 1 0) into 1 7.868 * [backup-simplify]: Simplify (* 1 1) into 1 7.869 * [backup-simplify]: Simplify (* 1 1) into 1 7.869 * [backup-simplify]: Simplify (/ 1 1) into 1 7.869 * [taylor]: Taking taylor expansion of 1 in n 7.869 * [backup-simplify]: Simplify 1 into 1 7.869 * [backup-simplify]: Simplify 1 into 1 7.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.870 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.870 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 7.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.870 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.870 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.870 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 7.870 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 7.871 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 7.871 * [taylor]: Taking taylor expansion of 4 in n 7.871 * [backup-simplify]: Simplify 4 into 4 7.871 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.871 * [taylor]: Taking taylor expansion of n in n 7.871 * [backup-simplify]: Simplify 0 into 0 7.871 * [backup-simplify]: Simplify 1 into 1 7.871 * [backup-simplify]: Simplify (/ 1 1) into 1 7.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.872 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.873 * [backup-simplify]: Simplify (+ 0 0) into 0 7.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 7.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.874 * [backup-simplify]: Simplify (- 0) into 0 7.874 * [backup-simplify]: Simplify (+ 0 0) into 0 7.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 7.875 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 7.875 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 7.875 * [taylor]: Taking taylor expansion of 8 in n 7.875 * [backup-simplify]: Simplify 8 into 8 7.875 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.875 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.875 * [taylor]: Taking taylor expansion of n in n 7.875 * [backup-simplify]: Simplify 0 into 0 7.875 * [backup-simplify]: Simplify 1 into 1 7.876 * [backup-simplify]: Simplify (* 1 1) into 1 7.876 * [backup-simplify]: Simplify (/ 1 1) into 1 7.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.878 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 7.878 * [backup-simplify]: Simplify 0 into 0 7.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.879 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 7.879 * [backup-simplify]: Simplify 0 into 0 7.879 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.880 * [backup-simplify]: Simplify (+ 0 0) into 0 7.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 7.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.882 * [backup-simplify]: Simplify (- 0) into 0 7.882 * [backup-simplify]: Simplify (+ 0 0) into 0 7.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 7.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 7.884 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 7.884 * [taylor]: Taking taylor expansion of 12 in n 7.884 * [backup-simplify]: Simplify 12 into 12 7.884 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.884 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.884 * [taylor]: Taking taylor expansion of n in n 7.884 * [backup-simplify]: Simplify 0 into 0 7.884 * [backup-simplify]: Simplify 1 into 1 7.884 * [backup-simplify]: Simplify (* 1 1) into 1 7.884 * [backup-simplify]: Simplify (* 1 1) into 1 7.884 * [backup-simplify]: Simplify (/ 1 1) into 1 7.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.889 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 1 into 1 7.890 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 7.890 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0 7.890 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 7.890 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.890 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.890 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.890 * [taylor]: Taking taylor expansion of f in n 7.890 * [backup-simplify]: Simplify f into f 7.890 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.890 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.890 * [taylor]: Taking taylor expansion of n in n 7.890 * [backup-simplify]: Simplify 0 into 0 7.890 * [backup-simplify]: Simplify 1 into 1 7.890 * [backup-simplify]: Simplify (/ 1 1) into 1 7.891 * [backup-simplify]: Simplify (+ 0 1) into 1 7.891 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 7.891 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.891 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.891 * [taylor]: Taking taylor expansion of n in n 7.891 * [backup-simplify]: Simplify 0 into 0 7.891 * [backup-simplify]: Simplify 1 into 1 7.891 * [backup-simplify]: Simplify (/ 1 1) into 1 7.891 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.891 * [taylor]: Taking taylor expansion of f in n 7.891 * [backup-simplify]: Simplify f into f 7.891 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.891 * [backup-simplify]: Simplify (+ 1 0) into 1 7.891 * [backup-simplify]: Simplify (* 1 1) into 1 7.892 * [backup-simplify]: Simplify (* 1 1) into 1 7.892 * [backup-simplify]: Simplify (/ 1 1) into 1 7.892 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 7.892 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.892 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.892 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.892 * [taylor]: Taking taylor expansion of f in f 7.892 * [backup-simplify]: Simplify 0 into 0 7.892 * [backup-simplify]: Simplify 1 into 1 7.892 * [backup-simplify]: Simplify (/ 1 1) into 1 7.892 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.892 * [taylor]: Taking taylor expansion of n in f 7.892 * [backup-simplify]: Simplify n into n 7.892 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.893 * [backup-simplify]: Simplify (+ 1 0) into 1 7.893 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 7.893 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.893 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.893 * [taylor]: Taking taylor expansion of n in f 7.893 * [backup-simplify]: Simplify n into n 7.893 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.893 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.893 * [taylor]: Taking taylor expansion of f in f 7.893 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify 1 into 1 7.893 * [backup-simplify]: Simplify (/ 1 1) into 1 7.893 * [backup-simplify]: Simplify (- 1) into -1 7.894 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.894 * [backup-simplify]: Simplify (* 1 1) into 1 7.894 * [backup-simplify]: Simplify (* -1 -1) into 1 7.894 * [backup-simplify]: Simplify (/ 1 1) into 1 7.894 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 7.894 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.894 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.894 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.894 * [taylor]: Taking taylor expansion of f in f 7.894 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify 1 into 1 7.895 * [backup-simplify]: Simplify (/ 1 1) into 1 7.895 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.895 * [taylor]: Taking taylor expansion of n in f 7.895 * [backup-simplify]: Simplify n into n 7.895 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.895 * [backup-simplify]: Simplify (+ 1 0) into 1 7.895 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 7.895 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.895 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.895 * [taylor]: Taking taylor expansion of n in f 7.895 * [backup-simplify]: Simplify n into n 7.895 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.895 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.895 * [taylor]: Taking taylor expansion of f in f 7.895 * [backup-simplify]: Simplify 0 into 0 7.895 * [backup-simplify]: Simplify 1 into 1 7.895 * [backup-simplify]: Simplify (/ 1 1) into 1 7.896 * [backup-simplify]: Simplify (- 1) into -1 7.896 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.896 * [backup-simplify]: Simplify (* 1 1) into 1 7.896 * [backup-simplify]: Simplify (* -1 -1) into 1 7.897 * [backup-simplify]: Simplify (/ 1 1) into 1 7.897 * [taylor]: Taking taylor expansion of 1 in n 7.897 * [backup-simplify]: Simplify 1 into 1 7.897 * [backup-simplify]: Simplify 1 into 1 7.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.897 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.897 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 7.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.898 * [backup-simplify]: Simplify (- 0) into 0 7.898 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.898 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 7.898 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 7.898 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 7.898 * [taylor]: Taking taylor expansion of 4 in n 7.898 * [backup-simplify]: Simplify 4 into 4 7.898 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.898 * [taylor]: Taking taylor expansion of n in n 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify 1 into 1 7.899 * [backup-simplify]: Simplify (/ 1 1) into 1 7.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.900 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 7.900 * [backup-simplify]: Simplify 0 into 0 7.900 * [backup-simplify]: Simplify 0 into 0 7.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.900 * [backup-simplify]: Simplify (+ 0 0) into 0 7.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 7.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.902 * [backup-simplify]: Simplify (- 0) into 0 7.902 * [backup-simplify]: Simplify (+ 0 0) into 0 7.903 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 7.903 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 7.903 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 7.903 * [taylor]: Taking taylor expansion of 8 in n 7.903 * [backup-simplify]: Simplify 8 into 8 7.903 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.903 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.903 * [taylor]: Taking taylor expansion of n in n 7.903 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify 1 into 1 7.904 * [backup-simplify]: Simplify (* 1 1) into 1 7.904 * [backup-simplify]: Simplify (/ 1 1) into 1 7.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.907 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 7.907 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.908 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 7.908 * [backup-simplify]: Simplify 0 into 0 7.908 * [backup-simplify]: Simplify 0 into 0 7.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.909 * [backup-simplify]: Simplify (+ 0 0) into 0 7.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 7.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.912 * [backup-simplify]: Simplify (- 0) into 0 7.912 * [backup-simplify]: Simplify (+ 0 0) into 0 7.913 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 7.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 7.915 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 7.915 * [taylor]: Taking taylor expansion of 12 in n 7.915 * [backup-simplify]: Simplify 12 into 12 7.915 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.915 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.915 * [taylor]: Taking taylor expansion of n in n 7.915 * [backup-simplify]: Simplify 0 into 0 7.915 * [backup-simplify]: Simplify 1 into 1 7.916 * [backup-simplify]: Simplify (* 1 1) into 1 7.916 * [backup-simplify]: Simplify (* 1 1) into 1 7.916 * [backup-simplify]: Simplify (/ 1 1) into 1 7.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.926 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.926 * [backup-simplify]: Simplify 0 into 0 7.926 * [backup-simplify]: Simplify 1 into 1 7.926 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 7.927 * [backup-simplify]: Simplify (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) into (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) 7.927 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in (f n) around 0 7.927 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in n 7.927 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in n 7.927 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in n 7.927 * [taylor]: Taking taylor expansion of 1/3 in n 7.927 * [backup-simplify]: Simplify 1/3 into 1/3 7.927 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in n 7.927 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 7.927 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 7.927 * [taylor]: Taking taylor expansion of (+ n f) in n 7.927 * [taylor]: Taking taylor expansion of n in n 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify 1 into 1 7.928 * [taylor]: Taking taylor expansion of f in n 7.928 * [backup-simplify]: Simplify f into f 7.928 * [backup-simplify]: Simplify (+ 0 f) into f 7.928 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 7.928 * [taylor]: Taking taylor expansion of (- f n) in n 7.928 * [taylor]: Taking taylor expansion of f in n 7.928 * [backup-simplify]: Simplify f into f 7.928 * [taylor]: Taking taylor expansion of n in n 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify 1 into 1 7.928 * [backup-simplify]: Simplify (- 0) into 0 7.928 * [backup-simplify]: Simplify (+ f 0) into f 7.928 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.928 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.929 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 7.929 * [backup-simplify]: Simplify (log 1) into 0 7.929 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.936 * [backup-simplify]: Simplify (+ 1 0) into 1 7.937 * [backup-simplify]: Simplify (+ (* f 1) (* 1 f)) into (* 2 f) 7.937 * [backup-simplify]: Simplify (- 1) into -1 7.937 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.937 * [backup-simplify]: Simplify (+ (* f -1) (* -1 f)) into (- (* 2 f)) 7.938 * [backup-simplify]: Simplify (- (/ (* 2 f) (pow f 2)) (+ (* 1 (/ (- (* 2 f)) (pow f 2))))) into (* 4 (/ 1 f)) 7.938 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 7.938 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 7.939 * [backup-simplify]: Simplify (exp 0) into 1 7.939 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 7.939 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 7.939 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 7.939 * [taylor]: Taking taylor expansion of 1/3 in f 7.939 * [backup-simplify]: Simplify 1/3 into 1/3 7.939 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 7.939 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 7.939 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 7.939 * [taylor]: Taking taylor expansion of (+ n f) in f 7.939 * [taylor]: Taking taylor expansion of n in f 7.939 * [backup-simplify]: Simplify n into n 7.939 * [taylor]: Taking taylor expansion of f in f 7.939 * [backup-simplify]: Simplify 0 into 0 7.939 * [backup-simplify]: Simplify 1 into 1 7.939 * [backup-simplify]: Simplify (+ n 0) into n 7.939 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 7.939 * [taylor]: Taking taylor expansion of (- f n) in f 7.939 * [taylor]: Taking taylor expansion of f in f 7.939 * [backup-simplify]: Simplify 0 into 0 7.939 * [backup-simplify]: Simplify 1 into 1 7.939 * [taylor]: Taking taylor expansion of n in f 7.939 * [backup-simplify]: Simplify n into n 7.939 * [backup-simplify]: Simplify (- n) into (- n) 7.939 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.939 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.939 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 7.939 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 7.940 * [backup-simplify]: Simplify (log 1) into 0 7.940 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.940 * [backup-simplify]: Simplify (+ 0 1) into 1 7.940 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 7.941 * [backup-simplify]: Simplify (- 0) into 0 7.941 * [backup-simplify]: Simplify (+ 1 0) into 1 7.941 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 7.941 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 7.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 7.942 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 7.942 * [backup-simplify]: Simplify (exp 0) into 1 7.942 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 7.942 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 7.942 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 7.942 * [taylor]: Taking taylor expansion of 1/3 in f 7.942 * [backup-simplify]: Simplify 1/3 into 1/3 7.942 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 7.942 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 7.942 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 7.942 * [taylor]: Taking taylor expansion of (+ n f) in f 7.942 * [taylor]: Taking taylor expansion of n in f 7.942 * [backup-simplify]: Simplify n into n 7.942 * [taylor]: Taking taylor expansion of f in f 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify 1 into 1 7.942 * [backup-simplify]: Simplify (+ n 0) into n 7.942 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 7.942 * [taylor]: Taking taylor expansion of (- f n) in f 7.942 * [taylor]: Taking taylor expansion of f in f 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify 1 into 1 7.942 * [taylor]: Taking taylor expansion of n in f 7.942 * [backup-simplify]: Simplify n into n 7.942 * [backup-simplify]: Simplify (- n) into (- n) 7.942 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.942 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.942 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 7.943 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 7.943 * [backup-simplify]: Simplify (log 1) into 0 7.943 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.943 * [backup-simplify]: Simplify (+ 0 1) into 1 7.943 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 7.944 * [backup-simplify]: Simplify (- 0) into 0 7.944 * [backup-simplify]: Simplify (+ 1 0) into 1 7.944 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 7.944 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 7.945 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 7.945 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 7.945 * [backup-simplify]: Simplify (exp 0) into 1 7.945 * [taylor]: Taking taylor expansion of 1 in n 7.945 * [backup-simplify]: Simplify 1 into 1 7.945 * [backup-simplify]: Simplify 1 into 1 7.946 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 7.946 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 7.946 * [taylor]: Taking taylor expansion of 4/3 in n 7.946 * [backup-simplify]: Simplify 4/3 into 4/3 7.946 * [taylor]: Taking taylor expansion of n in n 7.946 * [backup-simplify]: Simplify 0 into 0 7.946 * [backup-simplify]: Simplify 1 into 1 7.946 * [backup-simplify]: Simplify (/ 4/3 1) into 4/3 7.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0 7.947 * [backup-simplify]: Simplify 0 into 0 7.947 * [backup-simplify]: Simplify 0 into 0 7.948 * [backup-simplify]: Simplify (+ 0 0) into 0 7.948 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 7.948 * [backup-simplify]: Simplify (- 0) into 0 7.948 * [backup-simplify]: Simplify (+ 0 0) into 0 7.949 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 7.949 * [backup-simplify]: Simplify (- (/ 1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 4 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 8 (/ 1 (pow n 2))) 7.950 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 7.950 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 7.951 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 7.951 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 7.951 * [taylor]: Taking taylor expansion of 8/9 in n 7.951 * [backup-simplify]: Simplify 8/9 into 8/9 7.951 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.951 * [taylor]: Taking taylor expansion of n in n 7.951 * [backup-simplify]: Simplify 0 into 0 7.951 * [backup-simplify]: Simplify 1 into 1 7.951 * [backup-simplify]: Simplify (* 1 1) into 1 7.952 * [backup-simplify]: Simplify (/ 8/9 1) into 8/9 7.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0 7.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify 0 into 0 7.955 * [backup-simplify]: Simplify (+ 0 0) into 0 7.955 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 7.956 * [backup-simplify]: Simplify (- 0) into 0 7.956 * [backup-simplify]: Simplify (+ 0 0) into 0 7.957 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 7.957 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 4 (/ 1 n)) (/ 1 (pow n 2))) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 12 (/ 1 (pow n 3))) 7.959 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 7.959 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 7.960 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 7.960 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 7.960 * [taylor]: Taking taylor expansion of 68/81 in n 7.960 * [backup-simplify]: Simplify 68/81 into 68/81 7.960 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.960 * [taylor]: Taking taylor expansion of n in n 7.960 * [backup-simplify]: Simplify 0 into 0 7.960 * [backup-simplify]: Simplify 1 into 1 7.960 * [backup-simplify]: Simplify (* 1 1) into 1 7.961 * [backup-simplify]: Simplify (* 1 1) into 1 7.961 * [backup-simplify]: Simplify (/ 68/81 1) into 68/81 7.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0 7.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify 1 into 1 7.966 * [backup-simplify]: Simplify (cbrt (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) 7.966 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in (f n) around 0 7.966 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in n 7.966 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in n 7.966 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in n 7.966 * [taylor]: Taking taylor expansion of 1/3 in n 7.966 * [backup-simplify]: Simplify 1/3 into 1/3 7.966 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in n 7.966 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 7.966 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.966 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.966 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.966 * [taylor]: Taking taylor expansion of f in n 7.966 * [backup-simplify]: Simplify f into f 7.966 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.966 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.966 * [taylor]: Taking taylor expansion of n in n 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify 1 into 1 7.967 * [backup-simplify]: Simplify (/ 1 1) into 1 7.967 * [backup-simplify]: Simplify (+ 0 1) into 1 7.967 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 7.967 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.967 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.967 * [taylor]: Taking taylor expansion of f in n 7.967 * [backup-simplify]: Simplify f into f 7.967 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.967 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.967 * [taylor]: Taking taylor expansion of n in n 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify 1 into 1 7.967 * [backup-simplify]: Simplify (/ 1 1) into 1 7.967 * [backup-simplify]: Simplify (- 1) into -1 7.968 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.968 * [backup-simplify]: Simplify (* 1 1) into 1 7.968 * [backup-simplify]: Simplify (* -1 -1) into 1 7.968 * [backup-simplify]: Simplify (/ 1 1) into 1 7.969 * [backup-simplify]: Simplify (log 1) into 0 7.969 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.969 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.970 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 7.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.970 * [backup-simplify]: Simplify (- 0) into 0 7.970 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.970 * [backup-simplify]: Simplify (+ (* -1 (/ 1 f)) (* (/ 1 f) -1)) into (- (* 2 (/ 1 f))) 7.971 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f)) 7.971 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 7.971 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 7.971 * [backup-simplify]: Simplify (exp 0) into 1 7.971 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 7.971 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 7.971 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 7.971 * [taylor]: Taking taylor expansion of 1/3 in f 7.971 * [backup-simplify]: Simplify 1/3 into 1/3 7.971 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 7.971 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 7.971 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.971 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.971 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.971 * [taylor]: Taking taylor expansion of f in f 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify 1 into 1 7.972 * [backup-simplify]: Simplify (/ 1 1) into 1 7.972 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.972 * [taylor]: Taking taylor expansion of n in f 7.972 * [backup-simplify]: Simplify n into n 7.972 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.972 * [backup-simplify]: Simplify (+ 1 0) into 1 7.972 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 7.972 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.972 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.972 * [taylor]: Taking taylor expansion of f in f 7.972 * [backup-simplify]: Simplify 0 into 0 7.972 * [backup-simplify]: Simplify 1 into 1 7.973 * [backup-simplify]: Simplify (/ 1 1) into 1 7.973 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.973 * [taylor]: Taking taylor expansion of n in f 7.973 * [backup-simplify]: Simplify n into n 7.973 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.973 * [backup-simplify]: Simplify (+ 1 0) into 1 7.974 * [backup-simplify]: Simplify (* 1 1) into 1 7.974 * [backup-simplify]: Simplify (* 1 1) into 1 7.974 * [backup-simplify]: Simplify (/ 1 1) into 1 7.975 * [backup-simplify]: Simplify (log 1) into 0 7.975 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.976 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.976 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 7.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.977 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.977 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.978 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 7.978 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 7.979 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 7.980 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 7.980 * [backup-simplify]: Simplify (exp 0) into 1 7.980 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 7.980 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 7.980 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 7.980 * [taylor]: Taking taylor expansion of 1/3 in f 7.980 * [backup-simplify]: Simplify 1/3 into 1/3 7.980 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 7.980 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 7.980 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.980 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.980 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.980 * [taylor]: Taking taylor expansion of f in f 7.980 * [backup-simplify]: Simplify 0 into 0 7.980 * [backup-simplify]: Simplify 1 into 1 7.981 * [backup-simplify]: Simplify (/ 1 1) into 1 7.981 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.981 * [taylor]: Taking taylor expansion of n in f 7.981 * [backup-simplify]: Simplify n into n 7.981 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.981 * [backup-simplify]: Simplify (+ 1 0) into 1 7.981 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 7.981 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.981 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.981 * [taylor]: Taking taylor expansion of f in f 7.981 * [backup-simplify]: Simplify 0 into 0 7.981 * [backup-simplify]: Simplify 1 into 1 7.982 * [backup-simplify]: Simplify (/ 1 1) into 1 7.982 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.982 * [taylor]: Taking taylor expansion of n in f 7.982 * [backup-simplify]: Simplify n into n 7.982 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.982 * [backup-simplify]: Simplify (+ 1 0) into 1 7.983 * [backup-simplify]: Simplify (* 1 1) into 1 7.983 * [backup-simplify]: Simplify (* 1 1) into 1 7.984 * [backup-simplify]: Simplify (/ 1 1) into 1 7.984 * [backup-simplify]: Simplify (log 1) into 0 7.984 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.985 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.986 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 7.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.987 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.987 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.987 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 7.987 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 7.988 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 7.988 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 7.988 * [backup-simplify]: Simplify (exp 0) into 1 7.989 * [taylor]: Taking taylor expansion of 1 in n 7.989 * [backup-simplify]: Simplify 1 into 1 7.989 * [backup-simplify]: Simplify 1 into 1 7.989 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 7.989 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 7.989 * [taylor]: Taking taylor expansion of 4/3 in n 7.989 * [backup-simplify]: Simplify 4/3 into 4/3 7.989 * [taylor]: Taking taylor expansion of n in n 7.989 * [backup-simplify]: Simplify 0 into 0 7.989 * [backup-simplify]: Simplify 1 into 1 7.990 * [backup-simplify]: Simplify (/ 4/3 1) into 4/3 7.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0 7.991 * [backup-simplify]: Simplify 0 into 0 7.991 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.992 * [backup-simplify]: Simplify (+ 0 0) into 0 7.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 7.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.995 * [backup-simplify]: Simplify (- 0) into 0 7.995 * [backup-simplify]: Simplify (+ 0 0) into 0 7.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 7.997 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 7.998 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 7.999 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 8.000 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 8.000 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 8.000 * [taylor]: Taking taylor expansion of 8/9 in n 8.000 * [backup-simplify]: Simplify 8/9 into 8/9 8.000 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.000 * [taylor]: Taking taylor expansion of n in n 8.000 * [backup-simplify]: Simplify 0 into 0 8.000 * [backup-simplify]: Simplify 1 into 1 8.001 * [backup-simplify]: Simplify (* 1 1) into 1 8.001 * [backup-simplify]: Simplify (/ 8/9 1) into 8/9 8.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0 8.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.005 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.006 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify 0 into 0 8.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.008 * [backup-simplify]: Simplify (+ 0 0) into 0 8.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 8.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.010 * [backup-simplify]: Simplify (- 0) into 0 8.011 * [backup-simplify]: Simplify (+ 0 0) into 0 8.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 8.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 8.016 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 8.017 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 8.019 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 8.019 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 8.019 * [taylor]: Taking taylor expansion of 68/81 in n 8.019 * [backup-simplify]: Simplify 68/81 into 68/81 8.019 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.019 * [taylor]: Taking taylor expansion of n in n 8.019 * [backup-simplify]: Simplify 0 into 0 8.019 * [backup-simplify]: Simplify 1 into 1 8.019 * [backup-simplify]: Simplify (* 1 1) into 1 8.020 * [backup-simplify]: Simplify (* 1 1) into 1 8.020 * [backup-simplify]: Simplify (/ 68/81 1) into 68/81 8.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0 8.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.030 * [backup-simplify]: Simplify 0 into 0 8.030 * [backup-simplify]: Simplify 1 into 1 8.031 * [backup-simplify]: Simplify (cbrt (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) 8.031 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in (f n) around 0 8.031 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in n 8.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in n 8.031 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in n 8.031 * [taylor]: Taking taylor expansion of 1/3 in n 8.031 * [backup-simplify]: Simplify 1/3 into 1/3 8.031 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in n 8.031 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 8.031 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 8.031 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.031 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.031 * [taylor]: Taking taylor expansion of f in n 8.031 * [backup-simplify]: Simplify f into f 8.031 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.031 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.031 * [taylor]: Taking taylor expansion of n in n 8.031 * [backup-simplify]: Simplify 0 into 0 8.031 * [backup-simplify]: Simplify 1 into 1 8.032 * [backup-simplify]: Simplify (/ 1 1) into 1 8.032 * [backup-simplify]: Simplify (+ 0 1) into 1 8.032 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 8.032 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.032 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.032 * [taylor]: Taking taylor expansion of n in n 8.033 * [backup-simplify]: Simplify 0 into 0 8.033 * [backup-simplify]: Simplify 1 into 1 8.033 * [backup-simplify]: Simplify (/ 1 1) into 1 8.033 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.033 * [taylor]: Taking taylor expansion of f in n 8.033 * [backup-simplify]: Simplify f into f 8.033 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.033 * [backup-simplify]: Simplify (+ 1 0) into 1 8.034 * [backup-simplify]: Simplify (* 1 1) into 1 8.034 * [backup-simplify]: Simplify (* 1 1) into 1 8.034 * [backup-simplify]: Simplify (/ 1 1) into 1 8.035 * [backup-simplify]: Simplify (log 1) into 0 8.035 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.036 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.036 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 8.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.037 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 8.037 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 8.037 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 f))) (* (- (/ 1 f)) 1)) into (- (* 2 (/ 1 f))) 8.037 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f)) 8.038 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 8.039 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 8.039 * [backup-simplify]: Simplify (exp 0) into 1 8.039 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 8.039 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 8.039 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 8.039 * [taylor]: Taking taylor expansion of 1/3 in f 8.039 * [backup-simplify]: Simplify 1/3 into 1/3 8.039 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 8.039 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 8.039 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 8.039 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.039 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.039 * [taylor]: Taking taylor expansion of f in f 8.039 * [backup-simplify]: Simplify 0 into 0 8.039 * [backup-simplify]: Simplify 1 into 1 8.039 * [backup-simplify]: Simplify (/ 1 1) into 1 8.040 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.040 * [taylor]: Taking taylor expansion of n in f 8.040 * [backup-simplify]: Simplify n into n 8.040 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.040 * [backup-simplify]: Simplify (+ 1 0) into 1 8.040 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 8.040 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.040 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.040 * [taylor]: Taking taylor expansion of n in f 8.040 * [backup-simplify]: Simplify n into n 8.040 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.040 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.040 * [taylor]: Taking taylor expansion of f in f 8.040 * [backup-simplify]: Simplify 0 into 0 8.040 * [backup-simplify]: Simplify 1 into 1 8.041 * [backup-simplify]: Simplify (/ 1 1) into 1 8.042 * [backup-simplify]: Simplify (- 1) into -1 8.042 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.043 * [backup-simplify]: Simplify (* 1 1) into 1 8.043 * [backup-simplify]: Simplify (* -1 -1) into 1 8.043 * [backup-simplify]: Simplify (/ 1 1) into 1 8.044 * [backup-simplify]: Simplify (log 1) into 0 8.044 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.045 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.045 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 8.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.046 * [backup-simplify]: Simplify (- 0) into 0 8.046 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.047 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 8.047 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 8.048 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 8.048 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 8.048 * [backup-simplify]: Simplify (exp 0) into 1 8.048 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 8.048 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 8.048 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 8.048 * [taylor]: Taking taylor expansion of 1/3 in f 8.048 * [backup-simplify]: Simplify 1/3 into 1/3 8.048 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 8.048 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 8.049 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 8.049 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.049 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.049 * [taylor]: Taking taylor expansion of f in f 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify 1 into 1 8.049 * [backup-simplify]: Simplify (/ 1 1) into 1 8.049 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.049 * [taylor]: Taking taylor expansion of n in f 8.049 * [backup-simplify]: Simplify n into n 8.049 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.050 * [backup-simplify]: Simplify (+ 1 0) into 1 8.050 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 8.050 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.050 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.050 * [taylor]: Taking taylor expansion of n in f 8.050 * [backup-simplify]: Simplify n into n 8.050 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.050 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.050 * [taylor]: Taking taylor expansion of f in f 8.050 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify 1 into 1 8.050 * [backup-simplify]: Simplify (/ 1 1) into 1 8.051 * [backup-simplify]: Simplify (- 1) into -1 8.051 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.052 * [backup-simplify]: Simplify (* 1 1) into 1 8.052 * [backup-simplify]: Simplify (* -1 -1) into 1 8.052 * [backup-simplify]: Simplify (/ 1 1) into 1 8.053 * [backup-simplify]: Simplify (log 1) into 0 8.053 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.054 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.054 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 8.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.056 * [backup-simplify]: Simplify (- 0) into 0 8.056 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.056 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 8.056 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 8.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 8.058 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 8.058 * [backup-simplify]: Simplify (exp 0) into 1 8.058 * [taylor]: Taking taylor expansion of 1 in n 8.058 * [backup-simplify]: Simplify 1 into 1 8.058 * [backup-simplify]: Simplify 1 into 1 8.058 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 8.058 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 8.058 * [taylor]: Taking taylor expansion of 4/3 in n 8.058 * [backup-simplify]: Simplify 4/3 into 4/3 8.058 * [taylor]: Taking taylor expansion of n in n 8.058 * [backup-simplify]: Simplify 0 into 0 8.058 * [backup-simplify]: Simplify 1 into 1 8.059 * [backup-simplify]: Simplify (/ 4/3 1) into 4/3 8.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0 8.059 * [backup-simplify]: Simplify 0 into 0 8.059 * [backup-simplify]: Simplify 0 into 0 8.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.061 * [backup-simplify]: Simplify (+ 0 0) into 0 8.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 8.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.063 * [backup-simplify]: Simplify (- 0) into 0 8.064 * [backup-simplify]: Simplify (+ 0 0) into 0 8.065 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 8.065 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 8.067 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 8.074 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 8.075 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 8.075 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 8.075 * [taylor]: Taking taylor expansion of 8/9 in n 8.075 * [backup-simplify]: Simplify 8/9 into 8/9 8.075 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.075 * [taylor]: Taking taylor expansion of n in n 8.075 * [backup-simplify]: Simplify 0 into 0 8.076 * [backup-simplify]: Simplify 1 into 1 8.076 * [backup-simplify]: Simplify (* 1 1) into 1 8.076 * [backup-simplify]: Simplify (/ 8/9 1) into 8/9 8.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0 8.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.080 * [backup-simplify]: Simplify 0 into 0 8.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.082 * [backup-simplify]: Simplify 0 into 0 8.082 * [backup-simplify]: Simplify 0 into 0 8.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.083 * [backup-simplify]: Simplify (+ 0 0) into 0 8.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 8.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.087 * [backup-simplify]: Simplify (- 0) into 0 8.088 * [backup-simplify]: Simplify (+ 0 0) into 0 8.089 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 8.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 8.093 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 8.095 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 8.096 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 8.096 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 8.096 * [taylor]: Taking taylor expansion of 68/81 in n 8.096 * [backup-simplify]: Simplify 68/81 into 68/81 8.096 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.096 * [taylor]: Taking taylor expansion of n in n 8.096 * [backup-simplify]: Simplify 0 into 0 8.096 * [backup-simplify]: Simplify 1 into 1 8.096 * [backup-simplify]: Simplify (* 1 1) into 1 8.097 * [backup-simplify]: Simplify (* 1 1) into 1 8.097 * [backup-simplify]: Simplify (/ 68/81 1) into 68/81 8.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0 8.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.106 * [backup-simplify]: Simplify 0 into 0 8.106 * [backup-simplify]: Simplify 1 into 1 8.106 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.107 * [backup-simplify]: Simplify (cbrt (/ (- (+ f n)) (- f n))) into (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) 8.107 * [approximate]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in (f n) around 0 8.107 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in n 8.107 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in n 8.107 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in n 8.107 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in n 8.107 * [taylor]: Taking taylor expansion of 1/3 in n 8.107 * [backup-simplify]: Simplify 1/3 into 1/3 8.107 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in n 8.107 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 8.107 * [taylor]: Taking taylor expansion of (+ n f) in n 8.107 * [taylor]: Taking taylor expansion of n in n 8.107 * [backup-simplify]: Simplify 0 into 0 8.107 * [backup-simplify]: Simplify 1 into 1 8.107 * [taylor]: Taking taylor expansion of f in n 8.107 * [backup-simplify]: Simplify f into f 8.107 * [taylor]: Taking taylor expansion of (- f n) in n 8.107 * [taylor]: Taking taylor expansion of f in n 8.107 * [backup-simplify]: Simplify f into f 8.107 * [taylor]: Taking taylor expansion of n in n 8.107 * [backup-simplify]: Simplify 0 into 0 8.107 * [backup-simplify]: Simplify 1 into 1 8.107 * [backup-simplify]: Simplify (+ 0 f) into f 8.108 * [backup-simplify]: Simplify (- 0) into 0 8.108 * [backup-simplify]: Simplify (+ f 0) into f 8.108 * [backup-simplify]: Simplify (/ f f) into 1 8.108 * [backup-simplify]: Simplify (log 1) into 0 8.109 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.109 * [backup-simplify]: Simplify (+ 1 0) into 1 8.110 * [backup-simplify]: Simplify (- 1) into -1 8.110 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.111 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 8.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) 8.112 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) 8.112 * [backup-simplify]: Simplify (exp 0) into 1 8.112 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.112 * [taylor]: Taking taylor expansion of -1 in n 8.112 * [backup-simplify]: Simplify -1 into -1 8.112 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.113 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.113 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in f 8.113 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 8.113 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 8.113 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 8.113 * [taylor]: Taking taylor expansion of 1/3 in f 8.113 * [backup-simplify]: Simplify 1/3 into 1/3 8.113 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 8.113 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.113 * [taylor]: Taking taylor expansion of (+ n f) in f 8.113 * [taylor]: Taking taylor expansion of n in f 8.113 * [backup-simplify]: Simplify n into n 8.113 * [taylor]: Taking taylor expansion of f in f 8.114 * [backup-simplify]: Simplify 0 into 0 8.114 * [backup-simplify]: Simplify 1 into 1 8.114 * [taylor]: Taking taylor expansion of (- f n) in f 8.114 * [taylor]: Taking taylor expansion of f in f 8.114 * [backup-simplify]: Simplify 0 into 0 8.114 * [backup-simplify]: Simplify 1 into 1 8.114 * [taylor]: Taking taylor expansion of n in f 8.114 * [backup-simplify]: Simplify n into n 8.114 * [backup-simplify]: Simplify (+ n 0) into n 8.114 * [backup-simplify]: Simplify (- n) into (- n) 8.114 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.114 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.114 * [backup-simplify]: Simplify (log -1) into (log -1) 8.115 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.117 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.117 * [taylor]: Taking taylor expansion of (cbrt -1) in f 8.117 * [taylor]: Taking taylor expansion of -1 in f 8.117 * [backup-simplify]: Simplify -1 into -1 8.117 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.118 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.118 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in f 8.118 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 8.118 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 8.118 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 8.118 * [taylor]: Taking taylor expansion of 1/3 in f 8.118 * [backup-simplify]: Simplify 1/3 into 1/3 8.118 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 8.118 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.118 * [taylor]: Taking taylor expansion of (+ n f) in f 8.118 * [taylor]: Taking taylor expansion of n in f 8.118 * [backup-simplify]: Simplify n into n 8.118 * [taylor]: Taking taylor expansion of f in f 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify 1 into 1 8.119 * [taylor]: Taking taylor expansion of (- f n) in f 8.119 * [taylor]: Taking taylor expansion of f in f 8.119 * [backup-simplify]: Simplify 0 into 0 8.119 * [backup-simplify]: Simplify 1 into 1 8.119 * [taylor]: Taking taylor expansion of n in f 8.119 * [backup-simplify]: Simplify n into n 8.119 * [backup-simplify]: Simplify (+ n 0) into n 8.119 * [backup-simplify]: Simplify (- n) into (- n) 8.119 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.119 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.119 * [backup-simplify]: Simplify (log -1) into (log -1) 8.120 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.122 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.122 * [taylor]: Taking taylor expansion of (cbrt -1) in f 8.122 * [taylor]: Taking taylor expansion of -1 in f 8.122 * [backup-simplify]: Simplify -1 into -1 8.122 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.123 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.124 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 8.124 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow -1 1/3)) in n 8.124 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.124 * [taylor]: Taking taylor expansion of -1 in n 8.124 * [backup-simplify]: Simplify -1 into -1 8.125 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.125 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.125 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 8.125 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 8.125 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 8.125 * [taylor]: Taking taylor expansion of 1/3 in n 8.125 * [backup-simplify]: Simplify 1/3 into 1/3 8.125 * [taylor]: Taking taylor expansion of (log -1) in n 8.125 * [taylor]: Taking taylor expansion of -1 in n 8.125 * [backup-simplify]: Simplify -1 into -1 8.126 * [backup-simplify]: Simplify (log -1) into (log -1) 8.126 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.127 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.128 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 8.129 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 8.129 * [backup-simplify]: Simplify (+ 0 1) into 1 8.129 * [backup-simplify]: Simplify (- 0) into 0 8.130 * [backup-simplify]: Simplify (+ 1 0) into 1 8.130 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 8.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n) 8.131 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n)) 8.132 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (/ 1 n) (pow -1 1/3))) 8.133 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) (cbrt -1))) into (* 2/3 (* (/ (cbrt -1) n) (pow -1 1/3))) 8.133 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ (cbrt -1) n) (pow -1 1/3))) in n 8.133 * [taylor]: Taking taylor expansion of 2/3 in n 8.133 * [backup-simplify]: Simplify 2/3 into 2/3 8.133 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) n) (pow -1 1/3)) in n 8.133 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 8.133 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.133 * [taylor]: Taking taylor expansion of -1 in n 8.133 * [backup-simplify]: Simplify -1 into -1 8.133 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.133 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.133 * [taylor]: Taking taylor expansion of n in n 8.134 * [backup-simplify]: Simplify 0 into 0 8.134 * [backup-simplify]: Simplify 1 into 1 8.134 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.134 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 8.134 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 8.134 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 8.134 * [taylor]: Taking taylor expansion of 1/3 in n 8.134 * [backup-simplify]: Simplify 1/3 into 1/3 8.134 * [taylor]: Taking taylor expansion of (log -1) in n 8.134 * [taylor]: Taking taylor expansion of -1 in n 8.134 * [backup-simplify]: Simplify -1 into -1 8.134 * [backup-simplify]: Simplify (log -1) into (log -1) 8.135 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.136 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.137 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 8.138 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 8.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.139 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 8.140 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 8.141 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (* (cbrt -1) (pow -1 1/3)))) into 0 8.141 * [backup-simplify]: Simplify 0 into 0 8.142 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.142 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 8.143 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 8.144 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 8.144 * [backup-simplify]: Simplify 0 into 0 8.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.145 * [backup-simplify]: Simplify (+ 0 0) into 0 8.145 * [backup-simplify]: Simplify (- 0) into 0 8.146 * [backup-simplify]: Simplify (+ 0 0) into 0 8.146 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 8.147 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 1)))) 2) into 0 8.148 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0 8.149 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 8.151 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) 0) (* (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) (cbrt -1)))) into (* 2/9 (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3))) 8.151 * [taylor]: Taking taylor expansion of (* 2/9 (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3))) in n 8.151 * [taylor]: Taking taylor expansion of 2/9 in n 8.151 * [backup-simplify]: Simplify 2/9 into 2/9 8.151 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3)) in n 8.151 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 8.151 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.151 * [taylor]: Taking taylor expansion of -1 in n 8.151 * [backup-simplify]: Simplify -1 into -1 8.151 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.151 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.151 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.151 * [taylor]: Taking taylor expansion of n in n 8.151 * [backup-simplify]: Simplify 0 into 0 8.151 * [backup-simplify]: Simplify 1 into 1 8.152 * [backup-simplify]: Simplify (* 1 1) into 1 8.152 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.153 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 8.153 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 8.153 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 8.153 * [taylor]: Taking taylor expansion of 1/3 in n 8.153 * [backup-simplify]: Simplify 1/3 into 1/3 8.153 * [taylor]: Taking taylor expansion of (log -1) in n 8.153 * [taylor]: Taking taylor expansion of -1 in n 8.153 * [backup-simplify]: Simplify -1 into -1 8.153 * [backup-simplify]: Simplify (log -1) into (log -1) 8.154 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.156 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.158 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 8.161 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.162 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 8.165 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.168 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 8.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.173 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 8.174 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 8.176 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 8.178 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3))))) into 0 8.178 * [backup-simplify]: Simplify 0 into 0 8.181 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.182 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 8.184 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.188 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 8.190 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3))))) into 0 8.190 * [backup-simplify]: Simplify 0 into 0 8.193 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.194 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 8.197 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.198 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.199 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 8.199 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.201 * [backup-simplify]: Simplify (+ 0 0) into 0 8.202 * [backup-simplify]: Simplify (- 0) into 0 8.203 * [backup-simplify]: Simplify (+ 0 0) into 0 8.203 * [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)))) 8.206 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow n 3)) 8.208 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow n 3))) 8.216 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) 8.220 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) 0) (+ (* (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 0) (* (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) (cbrt -1))))) into (* 22/81 (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3))) 8.220 * [taylor]: Taking taylor expansion of (* 22/81 (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3))) in n 8.220 * [taylor]: Taking taylor expansion of 22/81 in n 8.220 * [backup-simplify]: Simplify 22/81 into 22/81 8.220 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3)) in n 8.220 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 8.221 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.221 * [taylor]: Taking taylor expansion of -1 in n 8.221 * [backup-simplify]: Simplify -1 into -1 8.221 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.222 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.222 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.222 * [taylor]: Taking taylor expansion of n in n 8.222 * [backup-simplify]: Simplify 0 into 0 8.222 * [backup-simplify]: Simplify 1 into 1 8.222 * [backup-simplify]: Simplify (* 1 1) into 1 8.223 * [backup-simplify]: Simplify (* 1 1) into 1 8.224 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.224 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 8.224 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 8.224 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 8.224 * [taylor]: Taking taylor expansion of 1/3 in n 8.224 * [backup-simplify]: Simplify 1/3 into 1/3 8.224 * [taylor]: Taking taylor expansion of (log -1) in n 8.224 * [taylor]: Taking taylor expansion of -1 in n 8.224 * [backup-simplify]: Simplify -1 into -1 8.224 * [backup-simplify]: Simplify (log -1) into (log -1) 8.225 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.227 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.229 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 8.232 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.234 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 8.239 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 8.240 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 8.244 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.249 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.254 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 8.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.259 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 8.260 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 8.260 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 8.261 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 8.262 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3)))))) into 0 8.262 * [backup-simplify]: Simplify 0 into 0 8.263 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 8.263 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) 8.263 * [approximate]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in (f n) around 0 8.263 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in n 8.263 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in n 8.264 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 8.264 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 8.264 * [taylor]: Taking taylor expansion of 1/3 in n 8.264 * [backup-simplify]: Simplify 1/3 into 1/3 8.264 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 8.264 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 8.264 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.264 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.264 * [taylor]: Taking taylor expansion of f in n 8.264 * [backup-simplify]: Simplify f into f 8.264 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.264 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.264 * [taylor]: Taking taylor expansion of n in n 8.264 * [backup-simplify]: Simplify 0 into 0 8.264 * [backup-simplify]: Simplify 1 into 1 8.264 * [backup-simplify]: Simplify (/ 1 1) into 1 8.264 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.264 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.264 * [taylor]: Taking taylor expansion of f in n 8.264 * [backup-simplify]: Simplify f into f 8.264 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.264 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.264 * [taylor]: Taking taylor expansion of n in n 8.264 * [backup-simplify]: Simplify 0 into 0 8.264 * [backup-simplify]: Simplify 1 into 1 8.264 * [backup-simplify]: Simplify (/ 1 1) into 1 8.265 * [backup-simplify]: Simplify (+ 0 1) into 1 8.265 * [backup-simplify]: Simplify (- 1) into -1 8.265 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.265 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.266 * [backup-simplify]: Simplify (log -1) into (log -1) 8.266 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.267 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.267 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.267 * [taylor]: Taking taylor expansion of -1 in n 8.267 * [backup-simplify]: Simplify -1 into -1 8.267 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.268 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.268 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in f 8.268 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 8.268 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 8.268 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 8.268 * [taylor]: Taking taylor expansion of 1/3 in f 8.268 * [backup-simplify]: Simplify 1/3 into 1/3 8.268 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.268 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.268 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.268 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.268 * [taylor]: Taking taylor expansion of f in f 8.268 * [backup-simplify]: Simplify 0 into 0 8.268 * [backup-simplify]: Simplify 1 into 1 8.268 * [backup-simplify]: Simplify (/ 1 1) into 1 8.268 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.268 * [taylor]: Taking taylor expansion of n in f 8.269 * [backup-simplify]: Simplify n into n 8.269 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.269 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.269 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.269 * [taylor]: Taking taylor expansion of f in f 8.269 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify 1 into 1 8.269 * [backup-simplify]: Simplify (/ 1 1) into 1 8.269 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.269 * [taylor]: Taking taylor expansion of n in f 8.269 * [backup-simplify]: Simplify n into n 8.269 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.269 * [backup-simplify]: Simplify (+ 1 0) into 1 8.269 * [backup-simplify]: Simplify (+ 1 0) into 1 8.270 * [backup-simplify]: Simplify (/ 1 1) into 1 8.270 * [backup-simplify]: Simplify (log 1) into 0 8.270 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.271 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.271 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.271 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.271 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.272 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) 8.272 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) 8.272 * [backup-simplify]: Simplify (exp 0) into 1 8.272 * [taylor]: Taking taylor expansion of (cbrt -1) in f 8.272 * [taylor]: Taking taylor expansion of -1 in f 8.272 * [backup-simplify]: Simplify -1 into -1 8.273 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.273 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.273 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in f 8.273 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 8.273 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 8.273 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 8.273 * [taylor]: Taking taylor expansion of 1/3 in f 8.273 * [backup-simplify]: Simplify 1/3 into 1/3 8.273 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.273 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.273 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.273 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.273 * [taylor]: Taking taylor expansion of f in f 8.273 * [backup-simplify]: Simplify 0 into 0 8.273 * [backup-simplify]: Simplify 1 into 1 8.274 * [backup-simplify]: Simplify (/ 1 1) into 1 8.274 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.274 * [taylor]: Taking taylor expansion of n in f 8.274 * [backup-simplify]: Simplify n into n 8.274 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.274 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.274 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.274 * [taylor]: Taking taylor expansion of f in f 8.274 * [backup-simplify]: Simplify 0 into 0 8.274 * [backup-simplify]: Simplify 1 into 1 8.274 * [backup-simplify]: Simplify (/ 1 1) into 1 8.274 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.274 * [taylor]: Taking taylor expansion of n in f 8.274 * [backup-simplify]: Simplify n into n 8.274 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.274 * [backup-simplify]: Simplify (+ 1 0) into 1 8.275 * [backup-simplify]: Simplify (+ 1 0) into 1 8.275 * [backup-simplify]: Simplify (/ 1 1) into 1 8.275 * [backup-simplify]: Simplify (log 1) into 0 8.275 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.276 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.276 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.276 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.277 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) 8.277 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) 8.277 * [backup-simplify]: Simplify (exp 0) into 1 8.277 * [taylor]: Taking taylor expansion of (cbrt -1) in f 8.277 * [taylor]: Taking taylor expansion of -1 in f 8.277 * [backup-simplify]: Simplify -1 into -1 8.278 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.279 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.280 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 8.280 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.280 * [taylor]: Taking taylor expansion of -1 in n 8.280 * [backup-simplify]: Simplify -1 into -1 8.280 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.280 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.281 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.281 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (/ 2/3 n) 8.282 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 2/3 n) (cbrt -1))) into (* 2/3 (/ (cbrt -1) n)) 8.282 * [taylor]: Taking taylor expansion of (* 2/3 (/ (cbrt -1) n)) in n 8.282 * [taylor]: Taking taylor expansion of 2/3 in n 8.282 * [backup-simplify]: Simplify 2/3 into 2/3 8.282 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 8.282 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.282 * [taylor]: Taking taylor expansion of -1 in n 8.282 * [backup-simplify]: Simplify -1 into -1 8.282 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.283 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.283 * [taylor]: Taking taylor expansion of n in n 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify 1 into 1 8.283 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.285 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (cbrt -1))) into 0 8.285 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify 0 into 0 8.286 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.288 * [backup-simplify]: Simplify (+ 0 0) into 0 8.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.290 * [backup-simplify]: Simplify (- 0) into 0 8.290 * [backup-simplify]: Simplify (+ 0 0) into 0 8.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 8.293 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 8.294 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 0))) into 0 8.294 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2/9 (pow n 2)) 8.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 2/3 n) 0) (* (/ 2/9 (pow n 2)) (cbrt -1)))) into (* 2/9 (/ (cbrt -1) (pow n 2))) 8.296 * [taylor]: Taking taylor expansion of (* 2/9 (/ (cbrt -1) (pow n 2))) in n 8.296 * [taylor]: Taking taylor expansion of 2/9 in n 8.296 * [backup-simplify]: Simplify 2/9 into 2/9 8.296 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 8.296 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.296 * [taylor]: Taking taylor expansion of -1 in n 8.296 * [backup-simplify]: Simplify -1 into -1 8.296 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.297 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.297 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.297 * [taylor]: Taking taylor expansion of n in n 8.297 * [backup-simplify]: Simplify 0 into 0 8.297 * [backup-simplify]: Simplify 1 into 1 8.297 * [backup-simplify]: Simplify (* 1 1) into 1 8.298 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.305 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 8.305 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.309 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 8.309 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.311 * [backup-simplify]: Simplify 0 into 0 8.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.314 * [backup-simplify]: Simplify (+ 0 0) into 0 8.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.315 * [backup-simplify]: Simplify (- 0) into 0 8.316 * [backup-simplify]: Simplify (+ 0 0) into 0 8.317 * [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))) 8.318 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1) (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 2/3 (pow n 3)) 8.319 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 0)))) into (* 2/9 (/ 1 (pow n 3))) 8.320 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 22/81 (pow n 3)) 8.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 2/3 n) 0) (+ (* (/ 2/9 (pow n 2)) 0) (* (/ 22/81 (pow n 3)) (cbrt -1))))) into (* 22/81 (/ (cbrt -1) (pow n 3))) 8.321 * [taylor]: Taking taylor expansion of (* 22/81 (/ (cbrt -1) (pow n 3))) in n 8.321 * [taylor]: Taking taylor expansion of 22/81 in n 8.321 * [backup-simplify]: Simplify 22/81 into 22/81 8.321 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 8.321 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.321 * [taylor]: Taking taylor expansion of -1 in n 8.321 * [backup-simplify]: Simplify -1 into -1 8.321 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.321 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.321 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.321 * [taylor]: Taking taylor expansion of n in n 8.322 * [backup-simplify]: Simplify 0 into 0 8.322 * [backup-simplify]: Simplify 1 into 1 8.322 * [backup-simplify]: Simplify (* 1 1) into 1 8.322 * [backup-simplify]: Simplify (* 1 1) into 1 8.323 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.330 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 8.330 * [backup-simplify]: Simplify 0 into 0 8.330 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.330 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) 8.330 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in (f n) around 0 8.330 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in n 8.330 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 8.330 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 8.330 * [taylor]: Taking taylor expansion of 1/3 in n 8.330 * [backup-simplify]: Simplify 1/3 into 1/3 8.330 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 8.330 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 8.330 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.330 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.330 * [taylor]: Taking taylor expansion of f in n 8.330 * [backup-simplify]: Simplify f into f 8.330 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.330 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.330 * [taylor]: Taking taylor expansion of n in n 8.331 * [backup-simplify]: Simplify 0 into 0 8.331 * [backup-simplify]: Simplify 1 into 1 8.331 * [backup-simplify]: Simplify (/ 1 1) into 1 8.331 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.331 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.331 * [taylor]: Taking taylor expansion of n in n 8.331 * [backup-simplify]: Simplify 0 into 0 8.331 * [backup-simplify]: Simplify 1 into 1 8.335 * [backup-simplify]: Simplify (/ 1 1) into 1 8.335 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.335 * [taylor]: Taking taylor expansion of f in n 8.335 * [backup-simplify]: Simplify f into f 8.335 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.336 * [backup-simplify]: Simplify (+ 0 1) into 1 8.336 * [backup-simplify]: Simplify (+ 1 0) into 1 8.336 * [backup-simplify]: Simplify (/ 1 1) into 1 8.336 * [backup-simplify]: Simplify (log 1) into 0 8.337 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.337 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.338 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 8.338 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 8.338 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 8.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) 8.339 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) 8.339 * [backup-simplify]: Simplify (exp 0) into 1 8.339 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 8.339 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 8.339 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 8.339 * [taylor]: Taking taylor expansion of 1/3 in f 8.339 * [backup-simplify]: Simplify 1/3 into 1/3 8.339 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 8.339 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.339 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.339 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.339 * [taylor]: Taking taylor expansion of f in f 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 1 into 1 8.339 * [backup-simplify]: Simplify (/ 1 1) into 1 8.339 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.339 * [taylor]: Taking taylor expansion of n in f 8.339 * [backup-simplify]: Simplify n into n 8.339 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.339 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.339 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.339 * [taylor]: Taking taylor expansion of n in f 8.339 * [backup-simplify]: Simplify n into n 8.339 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.339 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.339 * [taylor]: Taking taylor expansion of f in f 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 1 into 1 8.339 * [backup-simplify]: Simplify (/ 1 1) into 1 8.340 * [backup-simplify]: Simplify (+ 1 0) into 1 8.340 * [backup-simplify]: Simplify (- 1) into -1 8.340 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.341 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.341 * [backup-simplify]: Simplify (log -1) into (log -1) 8.341 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.342 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.342 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 8.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 8.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 8.342 * [taylor]: Taking taylor expansion of 1/3 in f 8.342 * [backup-simplify]: Simplify 1/3 into 1/3 8.342 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 8.342 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.342 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.342 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.342 * [taylor]: Taking taylor expansion of f in f 8.342 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify 1 into 1 8.343 * [backup-simplify]: Simplify (/ 1 1) into 1 8.343 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.343 * [taylor]: Taking taylor expansion of n in f 8.343 * [backup-simplify]: Simplify n into n 8.343 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.343 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.343 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.343 * [taylor]: Taking taylor expansion of n in f 8.343 * [backup-simplify]: Simplify n into n 8.343 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.343 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.343 * [taylor]: Taking taylor expansion of f in f 8.343 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify 1 into 1 8.343 * [backup-simplify]: Simplify (/ 1 1) into 1 8.343 * [backup-simplify]: Simplify (+ 1 0) into 1 8.344 * [backup-simplify]: Simplify (- 1) into -1 8.344 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.344 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.344 * [backup-simplify]: Simplify (log -1) into (log -1) 8.345 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.347 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.347 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 8.347 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 8.347 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 8.347 * [taylor]: Taking taylor expansion of 1/3 in n 8.347 * [backup-simplify]: Simplify 1/3 into 1/3 8.347 * [taylor]: Taking taylor expansion of (log -1) in n 8.347 * [taylor]: Taking taylor expansion of -1 in n 8.347 * [backup-simplify]: Simplify -1 into -1 8.347 * [backup-simplify]: Simplify (log -1) into (log -1) 8.348 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.349 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.350 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 8.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.351 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.352 * [backup-simplify]: Simplify (- 0) into 0 8.352 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.352 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 8.353 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n) 8.353 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n)) 8.355 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (/ 1 n) (pow -1 1/3))) 8.355 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ 1 n) (pow -1 1/3))) in n 8.355 * [taylor]: Taking taylor expansion of 2/3 in n 8.355 * [backup-simplify]: Simplify 2/3 into 2/3 8.355 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow -1 1/3)) in n 8.355 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.355 * [taylor]: Taking taylor expansion of n in n 8.355 * [backup-simplify]: Simplify 0 into 0 8.355 * [backup-simplify]: Simplify 1 into 1 8.355 * [backup-simplify]: Simplify (/ 1 1) into 1 8.355 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 8.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 8.355 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 8.355 * [taylor]: Taking taylor expansion of 1/3 in n 8.355 * [backup-simplify]: Simplify 1/3 into 1/3 8.355 * [taylor]: Taking taylor expansion of (log -1) in n 8.355 * [taylor]: Taking taylor expansion of -1 in n 8.355 * [backup-simplify]: Simplify -1 into -1 8.356 * [backup-simplify]: Simplify (log -1) into (log -1) 8.357 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.358 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.359 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.360 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 8.362 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 8.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 8.364 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 8.365 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (pow -1 1/3))) into 0 8.365 * [backup-simplify]: Simplify 0 into 0 8.367 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.367 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 8.369 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 8.369 * [backup-simplify]: Simplify 0 into 0 8.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.370 * [backup-simplify]: Simplify (+ 0 0) into 0 8.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.371 * [backup-simplify]: Simplify (- 0) into 0 8.372 * [backup-simplify]: Simplify (+ 0 0) into 0 8.373 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.374 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 1)))) 2) into 0 8.375 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0 8.377 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 8.377 * [taylor]: Taking taylor expansion of (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) in n 8.377 * [taylor]: Taking taylor expansion of 2/9 in n 8.377 * [backup-simplify]: Simplify 2/9 into 2/9 8.377 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow -1 1/3)) in n 8.377 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.377 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.377 * [taylor]: Taking taylor expansion of n in n 8.377 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify 1 into 1 8.378 * [backup-simplify]: Simplify (* 1 1) into 1 8.378 * [backup-simplify]: Simplify (/ 1 1) into 1 8.378 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 8.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 8.378 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 8.378 * [taylor]: Taking taylor expansion of 1/3 in n 8.378 * [backup-simplify]: Simplify 1/3 into 1/3 8.378 * [taylor]: Taking taylor expansion of (log -1) in n 8.378 * [taylor]: Taking taylor expansion of -1 in n 8.378 * [backup-simplify]: Simplify -1 into -1 8.379 * [backup-simplify]: Simplify (log -1) into (log -1) 8.379 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.381 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.382 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.383 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 8.385 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.386 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 8.388 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.391 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 8.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 8.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 8.396 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 8.397 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.400 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 8.402 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 8.405 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 8.405 * [backup-simplify]: Simplify 0 into 0 8.408 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 8.411 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.411 * [backup-simplify]: Simplify 0 into 0 8.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.413 * [backup-simplify]: Simplify (+ 0 0) into 0 8.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.414 * [backup-simplify]: Simplify (- 0) into 0 8.414 * [backup-simplify]: Simplify (+ 0 0) into 0 8.416 * [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)))) 8.418 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow n 3)) 8.419 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow n 3))) 8.422 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) 8.422 * [taylor]: Taking taylor expansion of (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) in n 8.422 * [taylor]: Taking taylor expansion of 22/81 in n 8.422 * [backup-simplify]: Simplify 22/81 into 22/81 8.422 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow -1 1/3)) in n 8.422 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.422 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.422 * [taylor]: Taking taylor expansion of n in n 8.422 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify 1 into 1 8.422 * [backup-simplify]: Simplify (* 1 1) into 1 8.422 * [backup-simplify]: Simplify (* 1 1) into 1 8.423 * [backup-simplify]: Simplify (/ 1 1) into 1 8.423 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 8.423 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 8.423 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 8.423 * [taylor]: Taking taylor expansion of 1/3 in n 8.423 * [backup-simplify]: Simplify 1/3 into 1/3 8.423 * [taylor]: Taking taylor expansion of (log -1) in n 8.423 * [taylor]: Taking taylor expansion of -1 in n 8.423 * [backup-simplify]: Simplify -1 into -1 8.423 * [backup-simplify]: Simplify (log -1) into (log -1) 8.424 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.425 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.428 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 8.430 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.431 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 8.436 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 8.437 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 8.440 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.444 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.448 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 8.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 8.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 8.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 8.455 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 8.456 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 8.456 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 8.457 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.457 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 8.457 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 8.457 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 8.457 * [taylor]: Taking taylor expansion of -1 in n 8.457 * [backup-simplify]: Simplify -1 into -1 8.457 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 8.457 * [taylor]: Taking taylor expansion of (+ n f) in n 8.457 * [taylor]: Taking taylor expansion of n in n 8.457 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify 1 into 1 8.457 * [taylor]: Taking taylor expansion of f in n 8.457 * [backup-simplify]: Simplify f into f 8.457 * [taylor]: Taking taylor expansion of (- f n) in n 8.457 * [taylor]: Taking taylor expansion of f in n 8.457 * [backup-simplify]: Simplify f into f 8.457 * [taylor]: Taking taylor expansion of n in n 8.457 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify 1 into 1 8.457 * [backup-simplify]: Simplify (+ 0 f) into f 8.458 * [backup-simplify]: Simplify (- 0) into 0 8.458 * [backup-simplify]: Simplify (+ f 0) into f 8.458 * [backup-simplify]: Simplify (/ f f) into 1 8.458 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.458 * [taylor]: Taking taylor expansion of -1 in f 8.458 * [backup-simplify]: Simplify -1 into -1 8.458 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.458 * [taylor]: Taking taylor expansion of (+ n f) in f 8.458 * [taylor]: Taking taylor expansion of n in f 8.458 * [backup-simplify]: Simplify n into n 8.458 * [taylor]: Taking taylor expansion of f in f 8.458 * [backup-simplify]: Simplify 0 into 0 8.458 * [backup-simplify]: Simplify 1 into 1 8.458 * [taylor]: Taking taylor expansion of (- f n) in f 8.458 * [taylor]: Taking taylor expansion of f in f 8.458 * [backup-simplify]: Simplify 0 into 0 8.458 * [backup-simplify]: Simplify 1 into 1 8.458 * [taylor]: Taking taylor expansion of n in f 8.458 * [backup-simplify]: Simplify n into n 8.458 * [backup-simplify]: Simplify (+ n 0) into n 8.458 * [backup-simplify]: Simplify (- n) into (- n) 8.459 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.459 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.459 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.459 * [taylor]: Taking taylor expansion of -1 in f 8.459 * [backup-simplify]: Simplify -1 into -1 8.459 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.459 * [taylor]: Taking taylor expansion of (+ n f) in f 8.459 * [taylor]: Taking taylor expansion of n in f 8.459 * [backup-simplify]: Simplify n into n 8.459 * [taylor]: Taking taylor expansion of f in f 8.459 * [backup-simplify]: Simplify 0 into 0 8.459 * [backup-simplify]: Simplify 1 into 1 8.459 * [taylor]: Taking taylor expansion of (- f n) in f 8.459 * [taylor]: Taking taylor expansion of f in f 8.459 * [backup-simplify]: Simplify 0 into 0 8.459 * [backup-simplify]: Simplify 1 into 1 8.459 * [taylor]: Taking taylor expansion of n in f 8.459 * [backup-simplify]: Simplify n into n 8.459 * [backup-simplify]: Simplify (+ n 0) into n 8.459 * [backup-simplify]: Simplify (- n) into (- n) 8.459 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.459 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.460 * [backup-simplify]: Simplify (* -1 -1) into 1 8.460 * [taylor]: Taking taylor expansion of 1 in n 8.460 * [backup-simplify]: Simplify 1 into 1 8.460 * [backup-simplify]: Simplify 1 into 1 8.460 * [backup-simplify]: Simplify (+ 0 1) into 1 8.467 * [backup-simplify]: Simplify (- 0) into 0 8.468 * [backup-simplify]: Simplify (+ 1 0) into 1 8.468 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 8.469 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 8.469 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.469 * [taylor]: Taking taylor expansion of 2 in n 8.469 * [backup-simplify]: Simplify 2 into 2 8.469 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.469 * [taylor]: Taking taylor expansion of n in n 8.469 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify 1 into 1 8.469 * [backup-simplify]: Simplify (/ 1 1) into 1 8.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.471 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.471 * [backup-simplify]: Simplify 0 into 0 8.471 * [backup-simplify]: Simplify 0 into 0 8.471 * [backup-simplify]: Simplify (+ 0 0) into 0 8.472 * [backup-simplify]: Simplify (- 0) into 0 8.472 * [backup-simplify]: Simplify (+ 0 0) into 0 8.472 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 8.473 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 8.473 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.473 * [taylor]: Taking taylor expansion of 2 in n 8.473 * [backup-simplify]: Simplify 2 into 2 8.473 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.473 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.473 * [taylor]: Taking taylor expansion of n in n 8.473 * [backup-simplify]: Simplify 0 into 0 8.473 * [backup-simplify]: Simplify 1 into 1 8.474 * [backup-simplify]: Simplify (* 1 1) into 1 8.474 * [backup-simplify]: Simplify (/ 1 1) into 1 8.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.477 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.478 * [backup-simplify]: Simplify 0 into 0 8.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.479 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.479 * [backup-simplify]: Simplify 0 into 0 8.479 * [backup-simplify]: Simplify 0 into 0 8.480 * [backup-simplify]: Simplify (+ 0 0) into 0 8.480 * [backup-simplify]: Simplify (- 0) into 0 8.480 * [backup-simplify]: Simplify (+ 0 0) into 0 8.481 * [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)))) 8.482 * [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))) 8.482 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.482 * [taylor]: Taking taylor expansion of 2 in n 8.482 * [backup-simplify]: Simplify 2 into 2 8.482 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.482 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.482 * [taylor]: Taking taylor expansion of n in n 8.482 * [backup-simplify]: Simplify 0 into 0 8.482 * [backup-simplify]: Simplify 1 into 1 8.482 * [backup-simplify]: Simplify (* 1 1) into 1 8.483 * [backup-simplify]: Simplify (* 1 1) into 1 8.483 * [backup-simplify]: Simplify (/ 1 1) into 1 8.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.491 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.491 * [backup-simplify]: Simplify 0 into 0 8.491 * [backup-simplify]: Simplify 1 into 1 8.491 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 8.491 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 8.491 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 8.491 * [taylor]: Taking taylor expansion of -1 in n 8.491 * [backup-simplify]: Simplify -1 into -1 8.491 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 8.491 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.491 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.491 * [taylor]: Taking taylor expansion of f in n 8.491 * [backup-simplify]: Simplify f into f 8.491 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.491 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.491 * [taylor]: Taking taylor expansion of n in n 8.491 * [backup-simplify]: Simplify 0 into 0 8.491 * [backup-simplify]: Simplify 1 into 1 8.492 * [backup-simplify]: Simplify (/ 1 1) into 1 8.492 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.492 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.492 * [taylor]: Taking taylor expansion of f in n 8.492 * [backup-simplify]: Simplify f into f 8.492 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.492 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.492 * [taylor]: Taking taylor expansion of n in n 8.492 * [backup-simplify]: Simplify 0 into 0 8.492 * [backup-simplify]: Simplify 1 into 1 8.492 * [backup-simplify]: Simplify (/ 1 1) into 1 8.493 * [backup-simplify]: Simplify (+ 0 1) into 1 8.493 * [backup-simplify]: Simplify (- 1) into -1 8.494 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.494 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.494 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.494 * [taylor]: Taking taylor expansion of -1 in f 8.494 * [backup-simplify]: Simplify -1 into -1 8.494 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.494 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.494 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.494 * [taylor]: Taking taylor expansion of f in f 8.494 * [backup-simplify]: Simplify 0 into 0 8.494 * [backup-simplify]: Simplify 1 into 1 8.495 * [backup-simplify]: Simplify (/ 1 1) into 1 8.495 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.495 * [taylor]: Taking taylor expansion of n in f 8.495 * [backup-simplify]: Simplify n into n 8.495 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.495 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.495 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.495 * [taylor]: Taking taylor expansion of f in f 8.495 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify 1 into 1 8.495 * [backup-simplify]: Simplify (/ 1 1) into 1 8.495 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.495 * [taylor]: Taking taylor expansion of n in f 8.495 * [backup-simplify]: Simplify n into n 8.495 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.496 * [backup-simplify]: Simplify (+ 1 0) into 1 8.496 * [backup-simplify]: Simplify (+ 1 0) into 1 8.496 * [backup-simplify]: Simplify (/ 1 1) into 1 8.496 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.496 * [taylor]: Taking taylor expansion of -1 in f 8.496 * [backup-simplify]: Simplify -1 into -1 8.496 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.496 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.497 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.497 * [taylor]: Taking taylor expansion of f in f 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 1 into 1 8.497 * [backup-simplify]: Simplify (/ 1 1) into 1 8.497 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.497 * [taylor]: Taking taylor expansion of n in f 8.497 * [backup-simplify]: Simplify n into n 8.497 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.497 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.497 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.497 * [taylor]: Taking taylor expansion of f in f 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 1 into 1 8.497 * [backup-simplify]: Simplify (/ 1 1) into 1 8.497 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.498 * [taylor]: Taking taylor expansion of n in f 8.498 * [backup-simplify]: Simplify n into n 8.498 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.498 * [backup-simplify]: Simplify (+ 1 0) into 1 8.498 * [backup-simplify]: Simplify (+ 1 0) into 1 8.499 * [backup-simplify]: Simplify (/ 1 1) into 1 8.499 * [backup-simplify]: Simplify (* -1 1) into -1 8.499 * [taylor]: Taking taylor expansion of -1 in n 8.499 * [backup-simplify]: Simplify -1 into -1 8.499 * [backup-simplify]: Simplify -1 into -1 8.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.500 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.501 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.501 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.501 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.501 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 8.502 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.502 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.502 * [taylor]: Taking taylor expansion of 2 in n 8.502 * [backup-simplify]: Simplify 2 into 2 8.502 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.502 * [taylor]: Taking taylor expansion of n in n 8.502 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify 1 into 1 8.502 * [backup-simplify]: Simplify (/ 1 1) into 1 8.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.503 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.504 * [backup-simplify]: Simplify (- 0) into 0 8.504 * [backup-simplify]: Simplify 0 into 0 8.504 * [backup-simplify]: Simplify 0 into 0 8.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.505 * [backup-simplify]: Simplify (+ 0 0) into 0 8.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.506 * [backup-simplify]: Simplify (- 0) into 0 8.507 * [backup-simplify]: Simplify (+ 0 0) into 0 8.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 8.508 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 8.508 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.508 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.508 * [taylor]: Taking taylor expansion of 2 in n 8.509 * [backup-simplify]: Simplify 2 into 2 8.509 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.509 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.509 * [taylor]: Taking taylor expansion of n in n 8.509 * [backup-simplify]: Simplify 0 into 0 8.509 * [backup-simplify]: Simplify 1 into 1 8.509 * [backup-simplify]: Simplify (* 1 1) into 1 8.510 * [backup-simplify]: Simplify (/ 1 1) into 1 8.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.513 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.514 * [backup-simplify]: Simplify (- 0) into 0 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.515 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.516 * [backup-simplify]: Simplify (- 0) into 0 8.516 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify 0 into 0 8.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.518 * [backup-simplify]: Simplify (+ 0 0) into 0 8.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.519 * [backup-simplify]: Simplify (- 0) into 0 8.519 * [backup-simplify]: Simplify (+ 0 0) into 0 8.521 * [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))) 8.522 * [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)))) 8.522 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.522 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.522 * [taylor]: Taking taylor expansion of 2 in n 8.522 * [backup-simplify]: Simplify 2 into 2 8.522 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.522 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.522 * [taylor]: Taking taylor expansion of n in n 8.522 * [backup-simplify]: Simplify 0 into 0 8.522 * [backup-simplify]: Simplify 1 into 1 8.522 * [backup-simplify]: Simplify (* 1 1) into 1 8.522 * [backup-simplify]: Simplify (* 1 1) into 1 8.523 * [backup-simplify]: Simplify (/ 1 1) into 1 8.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.531 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.531 * [backup-simplify]: Simplify (- 0) into 0 8.531 * [backup-simplify]: Simplify 0 into 0 8.532 * [backup-simplify]: Simplify -1 into -1 8.532 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 8.532 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 8.532 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 8.532 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.532 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.532 * [taylor]: Taking taylor expansion of f in n 8.532 * [backup-simplify]: Simplify f into f 8.532 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.532 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.532 * [taylor]: Taking taylor expansion of n in n 8.532 * [backup-simplify]: Simplify 0 into 0 8.532 * [backup-simplify]: Simplify 1 into 1 8.533 * [backup-simplify]: Simplify (/ 1 1) into 1 8.533 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.533 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.533 * [taylor]: Taking taylor expansion of n in n 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify 1 into 1 8.533 * [backup-simplify]: Simplify (/ 1 1) into 1 8.533 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.533 * [taylor]: Taking taylor expansion of f in n 8.533 * [backup-simplify]: Simplify f into f 8.533 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.533 * [backup-simplify]: Simplify (+ 0 1) into 1 8.534 * [backup-simplify]: Simplify (+ 1 0) into 1 8.534 * [backup-simplify]: Simplify (/ 1 1) into 1 8.534 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.534 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.534 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.534 * [taylor]: Taking taylor expansion of f in f 8.534 * [backup-simplify]: Simplify 0 into 0 8.534 * [backup-simplify]: Simplify 1 into 1 8.535 * [backup-simplify]: Simplify (/ 1 1) into 1 8.535 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.535 * [taylor]: Taking taylor expansion of n in f 8.535 * [backup-simplify]: Simplify n into n 8.535 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.535 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.535 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.535 * [taylor]: Taking taylor expansion of n in f 8.535 * [backup-simplify]: Simplify n into n 8.535 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.535 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.535 * [taylor]: Taking taylor expansion of f in f 8.535 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify 1 into 1 8.536 * [backup-simplify]: Simplify (/ 1 1) into 1 8.536 * [backup-simplify]: Simplify (+ 1 0) into 1 8.536 * [backup-simplify]: Simplify (- 1) into -1 8.537 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.537 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.537 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.537 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.537 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.537 * [taylor]: Taking taylor expansion of f in f 8.537 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify 1 into 1 8.538 * [backup-simplify]: Simplify (/ 1 1) into 1 8.538 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.538 * [taylor]: Taking taylor expansion of n in f 8.538 * [backup-simplify]: Simplify n into n 8.538 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.538 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.538 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.538 * [taylor]: Taking taylor expansion of n in f 8.538 * [backup-simplify]: Simplify n into n 8.538 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.538 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.538 * [taylor]: Taking taylor expansion of f in f 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [backup-simplify]: Simplify (/ 1 1) into 1 8.539 * [backup-simplify]: Simplify (+ 1 0) into 1 8.539 * [backup-simplify]: Simplify (- 1) into -1 8.539 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.540 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.540 * [taylor]: Taking taylor expansion of -1 in n 8.540 * [backup-simplify]: Simplify -1 into -1 8.540 * [backup-simplify]: Simplify -1 into -1 8.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.541 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.542 * [backup-simplify]: Simplify (- 0) into 0 8.542 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.542 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 8.542 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.542 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.542 * [taylor]: Taking taylor expansion of 2 in n 8.542 * [backup-simplify]: Simplify 2 into 2 8.542 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.542 * [taylor]: Taking taylor expansion of n in n 8.542 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify 1 into 1 8.542 * [backup-simplify]: Simplify (/ 1 1) into 1 8.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.544 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.544 * [backup-simplify]: Simplify (- 0) into 0 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify 0 into 0 8.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.545 * [backup-simplify]: Simplify (+ 0 0) into 0 8.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.547 * [backup-simplify]: Simplify (- 0) into 0 8.547 * [backup-simplify]: Simplify (+ 0 0) into 0 8.548 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.548 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.548 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.548 * [taylor]: Taking taylor expansion of 2 in n 8.548 * [backup-simplify]: Simplify 2 into 2 8.548 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.548 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.548 * [taylor]: Taking taylor expansion of n in n 8.548 * [backup-simplify]: Simplify 0 into 0 8.548 * [backup-simplify]: Simplify 1 into 1 8.549 * [backup-simplify]: Simplify (* 1 1) into 1 8.549 * [backup-simplify]: Simplify (/ 1 1) into 1 8.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.553 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.553 * [backup-simplify]: Simplify (- 0) into 0 8.553 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.555 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.555 * [backup-simplify]: Simplify (- 0) into 0 8.555 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify 0 into 0 8.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.556 * [backup-simplify]: Simplify (+ 0 0) into 0 8.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.558 * [backup-simplify]: Simplify (- 0) into 0 8.558 * [backup-simplify]: Simplify (+ 0 0) into 0 8.560 * [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)))) 8.560 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.560 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.560 * [taylor]: Taking taylor expansion of 2 in n 8.560 * [backup-simplify]: Simplify 2 into 2 8.560 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.560 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.560 * [taylor]: Taking taylor expansion of n in n 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify 1 into 1 8.560 * [backup-simplify]: Simplify (* 1 1) into 1 8.561 * [backup-simplify]: Simplify (* 1 1) into 1 8.561 * [backup-simplify]: Simplify (/ 1 1) into 1 8.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.569 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.569 * [backup-simplify]: Simplify (- 0) into 0 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify -1 into -1 8.569 * * * [progress]: simplifying candidates 8.582 * [simplify]: Simplifying: (+ 1 1) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (+ 1 1) (+ (- (log (- (+ f n))) (log (- f n))) (- (log (- (+ f n))) (log (- f n)))) (+ (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n)))) (+ (log (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n)))) (+ (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n)))) (log (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (exp (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (* (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))) (* (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))) (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f 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(sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (- (/ (+ n f) (- (sqrt f) (sqrt n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (/ (- (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt f) (sqrt n))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (/ (- (+ n f)) (- (* f (* f f)) (* n (* n n)))) (- (/ (+ n f) (- (* f f) (* n n)))) (* (- f n) (+ (* f f) (* n (- n f)))) (* (- f n) (- f n)) 1 1 1 1 1 1 (* (cbrt -1) (cbrt -1)) (cbrt -1) (cbrt -1) 1 -1 -1 10.329 * * * [progress]: adding candidates to table 12.606 * [progress]: [Phase 3 of 3] Extracting. 12.606 * * [regime]: Finding splitpoints for: (# # #) 12.608 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 12.608 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 12.650 * * * * [regimes]: Trying to branch on n from (# # #) 12.704 * * * * [regimes]: Trying to branch on f from (# # #) 12.759 * * * [regime]: Found split indices: #